2017 8 30 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108110111112112113112112114113116118119119118117117116116114112112112111110110109111113115118118119120119119121120119120120118119120119120119118118120116117119120120118120120119121121120119118119119119120120999999999999999999999999999999999999999999999999999999999999999999999138138138138138139139139139140139999999999138137137137137137136136136135135999999999134134134134133133133132132132132132132132132132132132131131130130130129128127126125124122121119118116115114113999112112112112112113113114115115116116117117118118118118118118118117117117117117117117117117117117118118118118118118118118118118118118118118118118118118118118118118118117117117117117116116116115115115115114114114113113113112112112112112112112112112112113113113113113114114114114113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 97 97108108108108107109110111115115113113114113114112111114112113113108106107108109108105107111114116116117116116118118118118118118120119119119119118116117115118118118120121121121121121122122121119117118119119120999999999999999999999999999999999999999999999999999999999999999999137138138138139139139140140140140140140999999138138137137137137136136135135135999999133133133133133132132132131131131131131131131131131131131131130130129129129128127126125124123121120118117116115114113112112112113113113113114115116117117117118118118118118118118118118117117117117117117117117117117117117117117117117117117118117117117117118118118118118118118118117117117117117117116116116115115115115115114114114113113113112112112112112112112112112112112112113113113113114114114114114114113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 97104106108107104107110110112114113110109110108109110108106107106103102104106106106105103104107108110111113111114117116116118119117119120120119118120121121119121121121121121122122124122123122120116116118119999999999999999999999999999999999999999999999999999999999999999999136137138138139139139140140140140140141141140140139138138137137137136136135135134134133133132132131131131131131130130130130130130130129129129129129130129129128128128127126125124123122120119117116115114113113112112113113113113114115116117118118118119119119119119118118118117117117116116116116116116116116117117117117117117117117117117117117117117117117117117117117117117117117117116116116116115115115115114114114113113113113112112112111111111111111111111112112112113113113113114114114114114114114114113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130145144137133127126126128126126125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 95113114115116116112112117117118117111112115114110110107105105103102102104105106105105104104106106106107109111115118118118120121121119120119121120120119120120120120121120121121122123122121120119118120999999999999999999999999999999999999999999999999999999999999999999999999999138138139140140140140140141141140140140139139138138137137136136136135135134134133133132132131131130130130130130129129129129129129128128128128128128128128127127127126125124124123121120119117116115115114113113113113114114114115116117117118118118119119119119118118118117117117116116116116116116116116116117117117117117117117117117117117117117118118118118118118117117117117117117116116116115115115114114114114113113113112112112112112111111111111111111111112112112113113113114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138144144135129127127126125124124124124121120999999999119135131134133132999999999999999999999999999999999999999999999999999999999999999999999999999999 94 88 94 95123 99116120126128127125124117117117112110107107105103102102103106106107107105105106108109108111112114116117118119120120120120120119120120121118118120120121122121123123124125123120120999999999999999999999999999999999999999999999999999999999999999999999999999999136137138139139140140141141141141141140140139138138137137136136135135135134134133133132132131131130130130130129129129129128128128128128127127127127127127127127126126126125124124123122121120119117116116115114114113114114115115115116116117117118118118118119119118118118117117117116116116115115115115116116116116117117117117117117118118118118118118118118118118118118117117117117117116116116115115115114114114114113113113112112112112112111111111111111111111111112112112113113113113114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142143999999999999999999999999999999999999999999999999999999999999999125126127138145141139133126125126126126124122122122122121123118119120130130130131131130130999999999999999999999999999999999999999999999999999999999999999999999999 92 86 93999999999999999999134134129126123121117114111109107105103103103102104106107108107106107107111111113115116117118118118119120120120119120120121121120121121120122123122123124125124123121999999999999999999999999999999999999999999999999999999999999999999999999999999999137138136138140140140141141141142141140139138137136136135135134134134134134133133132132131131130130129129129129128128128128127127127127126126126126126126126126125125125124124123122122121120118117116116115115115114114115115115116116117117118118118118118118118118117117117116116116115115115115115115115115116116116117117117117117118118118118118118118118118118118118117117117117117116116116115115115114114113113113113112112112112111111111111111111111111111111112112112112113113113114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149999999999149151149148148148147145145146145144145143144145143142141140141139136999999999999134138138136135134133136999999999999999999999125125123123121120999999999125126126139141138134126125121122125124121125123121120118116115122126126126125128131131129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999111139134132130110108107105103103100101102105102104108107107105106108110111114115116116116117117119119119119119121122121119120121121122124125125125125123122122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138133137140142145145144142142141140138137136135135134134133133133133133132132131131131130130129129128128128128127127127127126126126126125125125125125125125124124124123123122122121120119118118117116116115115115115115116116116117117117118118118118118118118117117116116115115115114114114114114114114115115116116116117117117117118118118118118118118118118118118118117117117117116116116115115115114114114113113113112112112111111111111111111111111111111111111111112112112113113113114114114114114114115114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149151151147149148151150153148149145144145146145144145143142144144143143143141140140139137137135999999999999133135135135136131130131129126125126128132127124123122121118120123999123125126126126136129127125121121122125125125126125124120120116116121124123122121123127128127126124113112111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114130118107106106104102101100 99101103105103102109110107107109109110112114115115115115117117119119120120121121121120119119121123123125126126126124999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137137130134138141144145145144145150141139138136134134133133133132132132132132131131131130130129129129128128128127127127126126126125125125125125124124124124124124123123123123122122121121120119118118117117116116116115116116116116117117117117118118118117117117117116116115115114114114114113113113113113113114114115115116116117117117118118118118118118118118118118118118117117117117116116116115115114114114113113112112112112111111111111111111110110111111111111111111112112112112113113113114114114114115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149148150151149151149148149149150151151150148144142141141142142143143142145143144143143141140137135134133133133133130133134134135134133132131129130126123122128130127128127127126122120121122123124118126127124124125122119123124122124122121120121119121115117117112111113115121117117115113125110108999999999999999999999999999999999999 92 96 95 93 94999999999999999 98 91 89 89 99 99101107113118112101 99102103102 96 96 95 97 98105107103108112110110109109108110114113114115115117118119120121121121122123121120120120122123124126127126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136136137133138141143142142143145143143138999999134133132132131131131131131130130130130129129129128128128127127127126126126125125125125124124124124124123123123123123122122122122121121120120119118118117116116116115115115115115116116116116117117117117117117117117116116116115115114114114113113113113113113113114114115115116116116117117117117117117117117117117117117117117116116116116115115115114114114113113113112112112111111111110110110110110110110110110111111111111111112112112113113113113114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150148149149150149148150148146143144143144145145146143140139140141142142143140142142141141140140138135134136134134134134133133132132135135135133132129130126124128130129131130128127126126128124123125125124125122123122123120119118121119119115113112112117116116108108109109116999999999999999999999999999999999999999999999999999999 96 95 94 91 92 93 92 89 88 89 90 90 92 88 89 89 91 95102107108111108 98 99 98102100 93 94 96101103104105107104109113112111109109110111112113116117118119119119120121122122122123121121121122123124127128127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134135134137138140141141141140143143999999999999999999127128131132133133129129129129129129128128128127127127126126126125125125125124124124124123123123123123122122122122121121121120120120119119118117117116115115115115114114115115115116116116116116117117117117116116116116115115115114114114113113113113113113114114114115115115116116116116117117117117117117117117116116116116116115115115115114114114113113113112112112111111111110110110110110110110110110110110110111111111111112112112112113113113113114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146150149149149149148148149149148146143142143143143141142142139138140139142140141138141139141141140138137137135137137135132133134132133133132131134133132131130127128130127129131126125125125124127123124126126127122123123121120121116120116115114112111111108105106106106107107106105114999999999999999999999999102104101 99 95999999999 93 94 94 93 91 91 94 94 97 94 93 92 94 95 91 93 95 99 96 96 97 97 97 93 92 98101103 99100101104107106109106106106110111113113111111111112113115120120120120119119120122122122123123121121122123123127129129122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134135137138139139138139135134999999999999999999999999129129131131132131129130128128128127127127127126126126125125125125124124124123123123123122122122122122122121121121120120120119119118118117117116116115115114114114114114114114115115115116116116116116116116116116116115115115114114114114113113113113113113114114114115115115116116116116116116116116116116116116116115115115115114114114114113113113113112112112111111111110110110110109109109109109109110110110110110111111111112112112112113113113113113113113114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149151150148148146144146149149150143140140140141140140138138139138138139140139139138137139139140140139137137136138138137133133138134133134132131135132133132132131130130130132132131128130130131127126126125127130126126125123122119120120119116117115113108107106106107109108107106104100103 99 99999103103102100100 99 96 96 94 92 90 90 90 89 91 92 91 92 95 96 96 96 96 95 95 94 92 88 88 87 89 93 91 95 94 95 98 99104103109107109110110113112109111110110115115114113112113114115118120119119119119119120121122122123124124124124125126129129123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131133134137139139139138139138133999999999999999999125123123126127126126127127128129129127128129126126126125125125124124124124123123123123122122122122121121121121121120120120119119119118118117117116116115115114114114114113113113114114114115115115115116116116116116116116115115115114114114114113113113113113113113114114114115115115115115115116116116115115115115115115115114114114114113113113113113112112112112111111111110110110110109109109109109109109109109110110110110111111111111112112112112113113113113113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145147148150152149150149147148148146145142140139137138138137137137138134137138138138138138138139140139139140136136137137137136136135135134135134133133132134135133133130130130130131131132132132135135131132130130130131130129127127124125121120121121120120116112109107108111113113109109107105100 99100100102101103100 98 96 95 94 93 90 89 88 90 90 90 91 90 90 93 96 99 95 96 95 95102 99 98 92 97 96 93 94 95 99105107107108110111111114115117117115112111110114115115112113111113117118118116114115115116115117119121122123124124124125127130131125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134132131133136136136134134134132133999999999129124124124124123124126125126125125124127127128126126127126126126126124124124123123123123122122122122121121121121120120120120119119119118118118117117116116115115114114114113113113113113113113113114114115115115115115115115115115115115115115114114114114113113113113113113113114114114114115115115115115115115115115115114114114114114114113113113113112112112112112111111111111110110110110109109109108108108108108109109109109110110110110111111111112112112112112112113113113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146148149148150150148147146147146144143141139138138139137136137138137137133135136134136132133135136135140140138138138138137137137138137137135134134134133133134134133134135134133130131131131131133135134135133132134132132132131131130129129129128127127127126122116114113113113114113114112110107105103104104102102101101 98 96 95 92 92 90 91 91 90 90 91 91 91 91 92 94 97100 98102104108107108107107107109110111112113113116118117115113113118117116116115116115115115114114113113113111112111111112114115116117118119120121123122124126128130133125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134131131131133133132133131130130131131999126122122124124125125126126126126125125123126126126126125125124122123124124125125126122122122121121121121120120120120120119119119119118118118117117117116116116115115114114114114113113113113113113113113114114115115115115115115115115115115115115114114114114113113113113113113113113113113114114114114114114114114114114114114114113113113113113112112112112111111111111111110110110110110110109109109108108108108108108108108108108109109109109110110110111111111111111111112112112112112112112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153149148150149147148147146144144144142141140140137136135137136134134134135135131132131131133134135137132136133138138137137137137136136136137136137135135133132130131133133135135135133131132133133132132132133134134135137134134135135135133133134134132131132132131128125122121125119118119117118116115113108107106103102101100 99 96 95 94 96 92 93 94 94 94 95 96 93 93 94 96101105106105106110107109110113113116118117121121120123123121121119118121118119119119119118116114113111111109108108108108111113115115116118118118120122123125126128130124999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134136134133131130130129130133129127128127126127126125123126127126126126125125124124124123124123124125125124122121121120122122123123123122123124120120120119119119119119118118118118117117117117116116116115115115114114114114113113113113113113113113113114114114114115115115115115115115115115114114114114113113113113112112112112112113113113113113113114113113113113113113113113113112112112112111111111111110110110110110110110109109109109109108108108108107107107107107108108108108108109109109109110110110110110110111111111111111111111111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150153153151150152151147147145145145144145142141138136137138136135135134134131134133133133128127129129133133133135134134135136136136136136136135135135135135135134133131131130131134133134135135134134133136134132133132134133135136135135133137137137138139136138137136134133133133131129131129128124123125122116115114110109108107106104102100 97 96 97 96 97 99100101101100 99 95 94 97100105108109109111113110114116118116119119121120121126124126124124124122121119121122121120117117114109108109109107108108111113115115114114114116120122123124125126127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134134135134130129129130130130125124123125125127127127125126125125125125125123123123123122122122123123123122120122120120120121121121120123123124124122122122118118118118117117117117117116116116116115115115115114114114114114113113113113113113113113114114114114114114114115115115115115114114114114114113113113113112112112112112112112112112113113113113113113113113113112112112112112111111111111110110110110109109109109109109109109109108108108108107107107107107107107107107108108108108108108109109109109109110110110110110110110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152149150150153151151150146145144143144144144142137132132134135136133133134135135135129134133132127129132135134130130133133132132132133133132132132133132133133132131130129128130131134135135135134134134134135134133134136134135136138136133134136138137140140138142138135134135134135135133130128129126128130127122118115114114113113110108103101 99100101102103102104105104104101101102109112114115114113114121121122120121121125126125121122125124126126125123125123123123123122122123119117114111111111109107112112112114115115117119120122124125124126120999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132133135137137133133133133133133125123122121125125124126127125124127126125125123122123122122122122122122122121122119120119118120120120120120119121123122120122121117117117117116116116116115115115115115114114114114114113113113113113113113113113113113114114114114114114114114114114114114114114114113113113113113112112112111111111112112112112112112112112112112112112112111111111111111110110110110109109109109109108108108108108108108108108108107107107107107106107107107107107107107107108108108108108108108109109109109109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147147149151148148146147148148145143143142142143140137134131134134135134135136136130130136136136135134129133135130130129129134133133133133133133133133132131130130130130126127129129130131133134134133133133133134137137135137136136137140140137134135135137140141141142142139136135133132130130134131132134135133131129128122119116118117117116115110107104103103104106106107108110109107108111119121119118118119121126128124118124124127128127128126126127127126124124127126127126124122122124114116117116115116115115113112112113118121125127127128127121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130133134136137138135135133131131131131130125124124122122126127126127125124123129123121122122122122121121121120120119118118118118119118118118118118119119120119121119119119115117116115115115115114114114114114113113113113113113113113113113113113113114114114114114114114114114114114114114114114113113113113113113112112112111111111111111111111111111112112112111111111111111111111110110110110109109109109108108108108108108108108108108108107107107107107107107106106106106106107107107107107107107107107107108108108108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150145146148148148150148147144145144141137139142142141139136135135134135134135136130130131134137137136135130134134129129131134135135135135135135136136134133132131131131129127128131131129130135134134137133133134132133135136136136136139139140138139137136138137139138140140138136135133133134134135136135135133132131129129128126124123124125121120118112110106104105108110109111114116116116118119123124123125125123122127125127131131131130128128129128127128128128128127128128128126124123123124122120119115116116116111111110113119125126131132133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134134138139139138139138140138136135130131127125124124123124126127130132125124129120121121121121121121120120119119119118117116116116116115116116116120116116115119119119115115117115114119117115115114114114114114114113113113113113113113114114114114114114114114114114114114114114114114113113113113113112112112112111111111110110110110110110110111111111111111111111111111111110110110110110109109109109108108108108107107107107107107107107107107107107107106106106106106106106106106106106106107107107107107107107107107107107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150149149149147148148147146142142142141136138140140138139139139139136134132132130129130132138138138138138137137135137131132135137138138139138137137137135134134132133133131130130133133134131132132134137135134135132132134134137136138139135141139139138138136137139139139139138138137136136135132135134135132131132132133130129128127127128129128127122118112108106107110112114116118120120122123122127129129130131127128128129129130131127128127128127128128129129129129128129129129127124123123123123120117113113112112110109110113119122127122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136137141142141139137135135139137134129131128127124124124126128129130128123124124122124120120121121121120120120118118118116115114112116114115118118118119119115115120115115115116115118118112113118114114114114114114114113113113113113114114114114114114114114114114114114114114113113113113113113112112112111111111110110110109109109109109110110110110110110110110110110110110110109109109109109109108108108108107107107107107107107107107107107107107106106106106106106106106106106106106106106106106106106106106106106107107107107107107107106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150146147147147147147148148145144142141139135135138132135134136137139138137135132130133135137136137138138140139139138139139133135137135136143138136137139138134134134133133134134133133133133132134134133134133134134133134135136137134136138135137138139137137140138137137138138138139139138138134134134135136132133134132135133130131129129130131130129128123118113109109111114117121121122124126129130132130132133134134133129129130130128126127128126127128129130131130129129129129128128125123121118117113109109109109110109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139140141142141138141135137137139135133132129128124125125127127129131126126126126127126121122120121121120119119118116116115116117113116117118117117118119117114118117117118118115114118118115119114119122122117114114114114114113114114114114114114114114114114114114114114113113113113113113112112112111111111110110109109109109108108109109109109109109109109109109109109109109109109109109109108108108108108107107107107106106106106106106106106106106106106106106106106106106105105105105105105105105105105106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150148145147146148147148144144142141140139138135137136136134136134139138138135134134131133135133132138140139140140140139139136136138138139139135135135142138136136136134133133134131131133135134135136136136133134132136135134136135137136136138138138138137135137137135137137136137139138138138138139134134136134134135132134133133132132131132131131130131127123118114112114114116118119121124127130132133132133131132132131130131131132130131130128127128128129130132130129130130130131129127125124120116124123121117116116116999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142142141142999999999999132135133131129132129128129128129131129132131131129129127127133125121120119120120116122117116117126115113111114116120116118118116118116116117117118118116118114114114117118122122120120117115114114114114114114114114114114114114114114114114113113113113113112112112111111111110110109109109108108108107108108108108108108108108108108108108109109109109108108108108108108108107107107107106106106106106106106106106106106106106106106105105105105105105105105105105105105105105105105105105105105105106106105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153151149148149149145145147148148148144143141140139138139138137138138137136136136137137132132133133134135132136135139140139140141140141139142139138137140139139138142139138139138137137136136137136135138139137137136137134133134136136135135136139136136139139140138138137138138136136137137139139137139139138139136135133133137135133132132132131129133134131131132131131127123122120119119119123127126127130132133133133133134133132130130128129131130131132130129129129130130131132132132131131132131129127125122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155999999999999999999999132129134132129130134130129132132130130129129127127126125125121123123121120119113113117116122117113112125115113126127117117115116116117118117118117115119114115115118119117116117117115116114114114114114114114114114114114114114114113113113113112112112111111110110109109108108108107107107107107107107107107107107107107107108108108108108108108108108108108107107107107106106106106106106106106106106106106106105105105105105105105105105105105105104104104104104104104104104105105105105105105105105105104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142144146148148151151147144144144147148148147144142141140139136137138139137138134135136136136133131132132133132131134135135137141142142143142141141141138138139140140138143145141142140135134135137139139136136136138139137137136134135136135136136135141137137138139139139137137138138138137138138138139140139139138139137134134137136135133133134134135135135135133133134133133131129129128130131130130132132134135135135136136136134134132132130130131131132132133131130130130130131132133134134134134135134130128126126136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132130134133130132133130130132133133130130139140137126126124125123123121119119120118115119116118122113112114116126120118118129129129117111110111113112112116113116111111111111112111115117117117114114114114114114114114114114114113113113113112112112111111111110110109109108108107107107107107107107107107107107107107107107107107108108108108108108108108107107107107106106106106106105105105105105105105105105105105105105105105105105105105105104104104104104104104104104104104104104105105105105105105104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146144144145147148149149150147151150148150146144145141139140140138139140140139138136136136135134131130132132133131132132135139137137143144147144139141143141138141139139140140140139137138137135136134136136137137135138138138137136135134137136134134134137137136137139139138139138138137142139141139139138141138138138139139136138138137137135134137135136137136134135135136135135134134133134132136137136137137136136137136137138138135134132133133131132131133134132132131131130131132132133135135135135135134134133129131133127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132130132134134134133131130130133134130130129138129130128127126126125124124123120120118119120118118117119123116120117109113113128129119114112112112114113111112112113112112110112111116117116118115115114115116114114114114114114113113113113112112112112111111110110110109109108108107107107107106107107107107107107107107107107107107107107107107107107107107107107107106106106106105105105105105105105105105105105105105105105105105105105105105104104104104104104104104104104104104104104104105105105105105104104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142145148141143145147147149155156155148149149147148146146143142140142140138138139137135135135134133132131132133132132134132132135137137138139142142140139141141141141139143144139138138139140139140137136137138138138137136137138138137137136134137137133134136136137137138138140140139139138137141139141139138139139139139139138139139138138138137135136138138138137137136135135137136136136137138138138138138139138135137137137137140138138137135135133132133132133134134133133132132132132135134135136135136137137136136132131133132128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135130131133133135136135136132131134135135134131131133130131130127127127125124124123121121120121116112114116115121119118119113113111118120117112113113115114111114113112112110110110112116116115115114115113114114113115113113117114114113113113113112112112111111111110110109109108108108107107107107106107107107107107107107107107107107107107107107107107107107107107106106106106105105105105105105105105105105105105105105105105105105105105105104104104104104104104103103103103103103103104104104104105105105105105105104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136137149147150142142145145147153157156147148146145147147146144143141140141139138138136136134133132132131131131131131131132132132134137137138139142141141140143142142138138141142140140139141139139141139138140140138140140138136139136139139139139140137134134136136137137138139138137139138137138140141138141138138138140139138139139138139139138139138138138136137138137137138137137137137138138139140139138137137137134137138138140139139138138136134133134133133134134134134132132132133136137135136138138140140140139136133132133133128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136136135130130132134135135135132132135134134134131131131131132131129127127126125125124124125120118116120113115116116119120121117117114116117119115115116115119114118117114111114113112115116114115113111112114114113114117114113117114113113113113112112112112111111110110110109109108108107107107107107106106107107107107107107107107106106106106106106106106106106107106106106106105105105105105105105105105104104104104104104104104104104104104104104104104104104103103103103103103103103103103104104104104104104104105105104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136137137139136137140137145151154145145145145152154153143143144146146144143142143141140139138137137136133131130130128129131129130131132136132134137136138138137141142139142142145140140141141141142143140140140140144140140140139141140140139138138140139138139141138136136137136138137138140139137138139140139141139138138138138140140140139140140139138139138140139137138137137139138137138138138138139140138139139138136136136136135135136136137136135135136136135136135135135135134134134135134133135138139140141140141141141140138136133132126128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143135134132130128130135134134133136136134133136136132132131132132132131130127127125126125125126118120123120117120119120118117121121116117115115118117118123116116117117116114113114114116116115113113113111115116114113117116115115112111112114115115112112112112111111110110110109109108108107107107107107106106107107107107107107106106106106106106106106106106106106106106106105105105105105105104104104104104104104104104104104104104104104104104104104104104103103103103103102102102102103103103103104104104104104104105105105104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133136142136138140148142142144144146143146144143151154152140142147145144143142142142141139138138138134132131131130129128126127127129129131132133131132134136136135138139142140141143140142142141141141141140141141140142140140139141142141141141141139139139138137139139138137137137136140138139137137140140139138139139138138140139139138140140140141140140141139138138138138138138139139136136139138137139140139140138138136134136138137138138136136135134134133136136136136134136134134133134134135136138140141142141142141140143140137134133132129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134131130130129128130130131134132135134136136136134133132131131132132132129128126125124125125117120121121120119121120119119119122117117115117119119121118119118117123120119114116114111113113114114114114117116117114111112111112113111115116113111112112112112111111110110110109109108108108107107107107107107107107107107107107107106106106106106105105105105105105105105105104104104104104104104104104104103103103103103104104104104104104104104104104104104103103103103103103103103103103103104104104104105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132121141143137137138137143143144143146146145145146146148144144146154144143142143143140140140139137137135134131130129127129126126126125126129130132131132133133137136136135142137140143140141142143143141140141140143143141140139140140141141139137138139138139138138138139139138139138136136135138139140141139139139138138137139137139140138140139139141141141142140140137137139139138140140139138138139140139139139137138138140138137138138139138138138137136134134136137137135135135134133133135137137139140140142142142143142140140140136133133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137134133134129128128133131132133132133133136133133133132130131128131131130127126124124122123120121123123120123124123119120123120121118114116117115115117118118118119119118120117118112112113112112114114116112113115113114112111112112113115113110112110113113112111111110110109109109108108108107107107107107107107107107107107107106106106106105105105105104104104104104103103103103103103103103103103103103103103103103103103103103104104104104104104104104104104104103103103104104104104104104105105105105105105105105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140132112116123139138137142140140141142144143144144149147146145144147148146147149145143142142141140139140139137137136134132133130127123122122123124124126129131131133134134136137134136135136141136141141142142140142140140143143143142142140140140140141139138139139139138137138140139139139139137140141139140139140139140137138139139138138139138140140139138140140140141142140138139139137142141137139137140139139137138138137137138141140141141139140139141142139139139138138137138136138135138138138138140140142143142141141142144145138138137134133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136133131132130129127131130131131131131132134133133132131131128128133130130129125125124124125124127126125121121122122119118120121122122120118114115116118116117115117118120121120120116110116116114109117118118117116118116113110111111113113113111112113113111111110112110110110109109108108108108107107107107107107107107107107107106106106105105105104104104103103103103102102102101102102102102103102102102102102102102103103103103103103104104104104104104104104104104104104104104104105105105105105106106106106106106106106105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136139140141119113134136136134137137138140145138142142139136140141147145145144146151149145144142141141140140141140140138134132131125125125113119117120123127129131133133134135136135134134134137138137141142138136136140140139140140139140139139140141141141140140139139139138140138138139138138139139138139139139140139139140138138139139139140139139139140138138139139139139139140139141141141142140139140141138140140138136137137137138139140140136138140141140142140141143141141141140141140139140141140140141142144143142142141143145142136140140999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139132132130127127124128129128126128129128133132133131134131129129129130129130129134135125123125124125129124121118119118118122121122120117119116116116116117115115120120118120117118114114117114109118119119117117116115113112113112112112115114112112120119119106110110108107108109109109108108108108108108107107107107107107107107107106106105105104104103103103102102102101101101100101101101102102102102101101101102102102103103103103103103104104104104104104104104104104104105105105105106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148141139138136128125134135137135139139140140141145145145143143155147146148148146146148148149145143142142141141144143143141136132133125125118120117119121125127129131131133134134132133134133133132134133136138141137136141139138138138139140140140140141141142142140140140138141138139137138139139140139138139138138138137140138140139137139139139139139140140139139138139138140140140141141140141141139137136138138140140140140139137138137138141142136138141141142143144144144144142143143144141142143143144142141142143143143142142141141137140999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143131132126126126126128131132125127126126127128131128128132131131131131131141139126127128129129124124124119119118119122124124123123122122119116116116115115118119120117116120117114115113116118114117115116115116116115115115113113113114115119119119120119118118117105105105103105104113108108108108108108108108108108108107107107107106106105104104103103102102101101100100100100 99100100100101101101101101101101101101102102103103103103103104104104104104104104104105105105105105106106106106107107107107107107106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143142143142139139120127135135137140146147141146141144150149148148147150150151148149147146147147147146144145143142143143144144141139135135134133126123119121124127123127130132132133131130131131130129133128129131132134135136134136137137138138140140139139140141141141141141140139140139138137137137138138138139138138137136138139138139139139139137140139140140139140139139141141142142142142143142140140141140140137141140141139139140140138140141141143145146139141141148142143145145143144144142143144145144145144145145145143142141141138134134999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128127128134129130128125124126127128130129132131131131129129141142140125126129130125124123125128127123123126121122123121121119120118115115116117118113118118116117113114111116117118112114114114114115117114115114115114113114113118119119119118118117117109108114105110109113114114108108108108108108108108108107107107107107106106105105104104103103103102102101101101101101101101101102102101101101101102102103103103104104104104104104104104104104105105105105105106106106106106107107107107107107107106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151144145143142144138117135137137138141140146149146154153151146149148147149150150149148147146147150148146145145143143143142143142141140140139140137130125124119123125124127130131131132132132131130129126127128129130131132134135132135135135137138139140139140140141140139140140139139140140138137137137137139141139139139139138138137138138138139139140141140141139139139140141140140140140140142141141140141142139140139138140139139138138139139142145146146146143143146142141144144145145144145145145143144146146146146146147147145143142141137131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127130129131127128127127124123127128130129128130130130129131128132142131128130138129123122125129127127126124122123121118121120118116116114115111112113120116114115117113124116116114109112115117116116116117114113113113113115115113114110110111111112111116111115114115113114110109110109110108108108108108108108107107107107107106106106105105105104104103103103102102102102102102102102102102102102102102103103104104104104104104104105105105105105105105105106106106106106106107107107107107107107106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137143141140141141140117117140141142141143143145148147147144148152151148147148149148150149147147146147143145145145144144142143142141143143141142141134127121117116120124127130131131130130130129129128126128129130131130132135134132134135135136137138139139139139139140140140139138138141141138137138139138137140140140139140139138138137138139138139139139139139138139139140140140140140140140140141139141141140141141140140139139139138138140144145145146146147146146147140143143143143145144145145144143145146148148147148148148144142143142138135999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126129126129125124123125123124125128126125127127123124126131133133143131133131134140129126128128128125125124123122122122127124118114115114117112111114110113113112119115120122116113114111114113115115116116115114116116114113111111112109111111112110110110112115115105106106106107107107110110111108108108108108108107107107107107107106106106106105105105104104104103103103103102102102102102102102102103103104104105105105105105105105105105105105106106106106106106106106106107107107107107107107106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140137135140143143139145136116120139142142146146146145144149149151152149151148149148151152149147145145146144145145145146144144144144144142142143142142141134129125126125127128130130130134130130130130130129128129129130128131131134134135132133134133134135136138138138139140139139139138138141141140140139139138140139139140139139139139139138139139139140140140140138140139139139140140140139139140142140141142142140141140140140139140138139139141143144145146145146146147147148147144143144146144146144144145145145146147148148149150147145142137132136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126120123124124124123121122123124124123129129125124126129130132137129129130131129130128126127129125124124121120122122124121118120118120119107110109109112112112115110113117113116114113114113113116115116116115115114113116110114114115116109110111110115112115114106105107106109108108108109110109110108108108108108108108107107107107107107107106106106106105105104104104103103103102102103103103103104104104105105105105105105105105106106106106106106106106106106106106106107107107107107107106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143141138136135142137141144135124120125144144148144145145146147148153150151150151152154153152149150148145146146143143144144144144144143143144143143143140140135134133134131132133131133129129130129128131132131131129128125125126126128131132129131132133134133134136137138138137137137139139138138140138138139138138139138139139138139139138138139140139139142139139137139140140140140140139139140140140141141140141141141142142141140141141138138139140138141143144144145146146147146145142148147148145142143143144144144146147147148147149148146141135127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125118123124122123122122120118126126128129128121124127129130131133129132141135131130131126123124121126127124121123112119119119116114114118116115110111113113115115116115113111115113114114116116115115117116114114114114117115115114115116109111109109111111111112107108107106108108107109108108110110108111112108108108108108108108108108108108107107107107106106106105105104103103102103103103103103104104105105106106106106106105106106106106106106106106106106106106106106106106106106106106106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151143145141139138146138141144142126127125144145145144147148149149147153152153153151152152152151148147149148147147143144142143142142143142143143143143142141141137137137137134135134131127128130129129130129131130130129123124120123123123127129128130131134133133135136136137137136139137139139138138137138138139138136138138139139140139139139139140140141142141142139139139141141142142141141141140140140140141143143141143142144142141140140140140140139137139141143145144145144144145145144145148149145144145146145147145145144145147149150148145141136133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139135132128112999999999999999125125126127126123121123122120121121122124124121122123128125132131132134140131134131130130131124126127126124121121120119123121122126116118118118112109116112116117115115117116115116116109113115115113114115115115113116118115115114113114115115115114106108110109111110108107106109107107109109109110110109109109109109108108108108108108108108108108108108107107107106106105105104104104104104104104104105105106106107107107107107107107107107107107107107107107106106106106106107107107107107107106106106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142144145145147148142141142143142143141128131131144147147147147149151151150152152152154154153152152150149147150147147148145143142142141142140141142142140142141139137138137136137138137134129127129130129129129129129127125126120120117119119122122123127128132135133135135135138137135135135137137137137138139138138139137136139138138137137138137139140140140141141141142140140141142141141140143140141141140142140140143142142142143144144141140141141141140141138140141140144145145144143145145145144146148142145144146146147147147144146148150147147147143136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136146135133130128126128999999999127120120126126126126125124125125123125123123120121123123125124124127132129126132131126126128132130124124125123122120122120119122119118113114113115112117118117113113113114116117117116116112113117114116114114116113116117115114112114111113114110107107109110110109106106111109108109109106109109108109109110110109108109109108109109109109109109109109108108108108107107107106106106105105105105105105106106106107107108108108108108108108108107107107107107107107107107107107107107107107107107107107107106106106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121141141143144148148146140143139141133137135137136135136147145146148150152151151153153152153154153157152151151150148147148146146143141141141139141141142140139138136137137135135133135133136133131129129129128127126123119117119131113112111114125115118119125125127131131133130133134134134134134136136136136137139138138137137138139139138136137140140141141141141141142139141141141142142142142141143140140141143141144139142140142143143141142140140141140140139140141141138140143142144144142142145145146147147143145146147147148147148149150149150149149146142141999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137141139138136126124127125120123129124124126125126126126124125125124123122121122123122122125124126128129126125128127127121121128128128124125123122122111119118117116119118115117114111117117117115116114117118113115118118118112109115115115114115115114114113118116115112110110108111114115113111108104110110109110108109106105108107109108106108110108108107108110110110109109109109109109109109108108108108107107107106106106106106106107107107108108108109109109109109109108108108107107107107107107107107107107107107107107107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137129121139146147147141138136144138139141137138139142143144144148149149149150152152152153155153153154153153152151151148147146147146145143141140140139140140140139139138135136133136131129133135135136135133132132128128125121117113112121119106105111111112115124131124128128130131128131130131133133133132134133135138136136138138136136137139140137137139140140140140140140142141138140141142141141144144142143141141140141141142145145145146145142142141142141141142143142141143140142142142143144144144145145146147147147148148149148150148149151152153153154151149141144999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136142139135135135135133132125123123125125126127127127132125123124127125125125121120120122124125126123125126126127129127126124125125127128123128129122125121117117119120117114114113114114116116115111112116115114114116116117113114113113115116117115113111114115114114114113110110109113115115113110109108109109108108108109108110106105111111107111108107109107108109110110110118120110110110109109109109109108108108108107107107107107108108108108109109109110110110110110110109109108108107107107107107107107107107107107107107107107107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137139133136137139144144131137135135134136138141138138140142143146148150151148149149152153154155155155155154154153154153149149149146146146146144143141140140138138137136136136132130129126123128131135135135136136135134134134131123117113123115112119106105111113114116117119126129130129127129130129131130130130133133135136134134137137137136137140140139140138141141141142142142142142142141142142142142142143142141143142140144143141144145145146146146146145142142142143143143140145143142143142142145145145146146146147147147148148149150147147146149153152153154153151149999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139138136130129129129127130122124124124127132135132131133129126127119124132121118119119121123124125124125126128129130127128129128128125121123128129125124120118122117117116116117111117116116115111116116114113115114113113115115118117116116117115116113113110111109110111109110109110113113111110109110109110110111110111107109110108107110109111112106106109109111112112112112110120113110110110110110109109109109109109109108109109109109109109109110110110110111111111112111110109109108108108107107107107107107107107107107107108108107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139138137142142137136135137138137136136135137138139141143139141139142147148147147147148150150151152153154153152153153152155153153149148147147147146145143142141139138138136135134133130128127124124127132133133134135136136134133133130124117113120118108123107122123123113115114112111114116124127126128128130130128128129134136136135134136137138138139141141141139139142141141141142142142142141141141142142142140141139140142141142142143142145145145145146146147146146146144143147146145142142141139141144144145145145145146145146146148148148149150150147147152151151153150149148999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145139138135128129128122126130123124125127131126129131132132131125124121126124123118118117118121123124125126126125126125126126126124127126123123124126123123119118117116114116117116116114112117121119113112114115113115110115113119117114114116113116117116115111111111108110110110107107108109110109109109110111112111110116106109110104106110107109112107104107111113111111113110110113112112109111111111110110110110110110110109109109110110110110110111111111111112112112113112111111110109109109108108108108107107107107107107108108108107107107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132134133136134135145143140142141142142140138135134134135140139139143142139140144143145147146147148150149149151152150151150151151151151152150150147148147146144144143141141141140136135133133131130128126126126128131131132133135135134132131129125120117115116119119117118114115113113114117115116116122124124126126128129130130132135138137137136139138139139140142143143142142142141141142142142142143142141142141142142141141140140141142143143142145145145145145146147147146146147147147146146145142144141143143145145146147144144144145146146147148148150150150151150152153155151150149147999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145141138132133130126127122123124125125127127127129126127135124125125125123124124121121123120118120120121121123124124120120117125126124128127125127123124123121119119122116114115118117114115117113113118118112117117117118119117119119117118115114117118116117113112111107106108114113109110107107107112111111109108110108108115117117111109110111110112113112111110111105106109110109108110109112109117109110111111111111111111111110110110110111111111111111112112112113113113114113112112111110110110109109108108108108108107108108108108108108108107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134131135129130130130133142142144143143143143140135133133134138141140139142139141138143145147148144146149147150149149150148150150151151150148148147148148147146145144143141142142141139137135135134132131129128126127127129131133133132131130129128127126122119120125127119121122112114119117120122123121126124127130125126126130134136137140138139139139141141141141142143143143141142142142141143142142142143142141142142142142142142141142142141145142143145145145145146146142146145145146144144146143142144144142145146146146147144145147146146146148148149149150150150150151152152149148148150999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144143137132131127127126122124122125126128127129128125125122123122120124124123123121121121121120119120122120122123123121125123120117126125126125123123117120119122119120122117117116118116114117117116114122119117117117119116118120114113118120119118115115115115112102109115107111109109108113111110111109107109112111104114115114111109109110111113112112110110108105104111108104111114117117119118112112111117116112112112112111111111111111112112112112112113113113114114114115114114113112112111110110109109109108108108108108108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130131126127125127126125134136138141142144145145142140138135132134140138137142138139142142146147148145144148147148145147149146147149147151151148147147149148147145145145143142140141139136136135135133134134133130129128129130131132131129129129128128128129125126125124128128126124125124122123122124125128127125126125126127129133137139139140141143141141142142142142142143144143142142142142142143143142142142143142142142143142142142141142142142143143142144143143143144144144145144143145146144146143143142144143143146146146146146147146146147147148148149149151149150150151151151151151148149999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143141135131130127124123123125125123125128126127126126123123124124124125123123122120119119122123124124122123123119122121124124123117123123120124122123119113119122122121123117118116120117113123120119119122118114118120123119116115116114117120122115116117117115118121111112111112108114110114112113112111108113113113109109109105109109108113109109106110107100105108111108109113111113111121119120114114116112110108113113113112112112112112112113113113113114114114115115115116115115114113113112111111110109109109109108108108108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131136122127126122122121122123122128131139143143146148144140140139136135138138138139138139139139138140147144141143143143143148147146147146149149146149149148148151150146145144141140138139139134134134134135135135134133129130129130131131131129129129126127129134131132134134136138137137129132131131135136133136136131129130131133137138141141142142142143145145144144144144143143144143143142142143143143143143141141142141142141142142142141141142142142142143143144143143143143142142143144144146146146143143143143143143144143144144145146147147145146146148148148150150150150149149151150150149147148999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141137130128123124123124125125123124127125126129124123124123127125123124123122122121117120121122122118122121121127125130128999999999122129127121125122118119119118121120115113115119115121119116116119118111121122120116121118119120117117119111116117120122122113112109110113113112109109112112112109113115113115113107109110115109110110113113111106109109110107109116107114111106109118120118116115114113113117111113113110113113113113113113114114114114115115115116116117117117116115115114113113112111110110109109109108108108108109109108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125128125131131130120118117114116115114115117119134120999129142140137135131133136136135136138137138138138138139141140141143143140145144144145145146146145147145145147147146148146144142139137138138135135135136135134134133134132131129131132132131130129127125127131133135137139139139137140142139139136140141141142143142139139139138138142143144143143143141142143144142144143144144145143144144142142142142142142142141140142142142140141142141141140142141142143143144143142143143142142142144143143146144144145144144147146147144147144142145145145148145147147147147148148148150150150151150150150150148145999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134135129129124124123124125125126123124126128124123125124124124124124124124124122121120120121121122125125121122130131126123130999999122131125125124124118121120124117117119115118113110118115120120120120115122120121116118120120119114117115114115112115119119114113113112115115113109108108120108118107115115108104111115111111107111113108106108114114114114112113104107109 97111112115107114117121116116116115118115115110111118113113113113113113113113114114114115115115116115115115114114113112112111110110110109109109109109109109109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143136129121124126127128123121118115111118124999115112110131999999999999999136134126129130132132132136137136136139140138139137136139139139138139139140141145144143143142143145145144140142143142141139138137136137136136135135134134133133130130132133133131132132131130131134133136138138140139140143146142145139140146147147146145144143141141142144144145145143142142141141144142144144144144143143143143143142142141141141141142141142141142140141141141141141142141142143143143144143142142142142143144143144146144143145144144146147147146147147144144144144147144144143146147148148148150149148148151151151150147146999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135132128125125124123125125124125125125124124125125123122123125124124123122122122121124119122124122123122127127130124124127124999999122125124119120125124125124117118117118121116116118113122122122118122123126118117119121115112115115119116114115118111116118115114109109115114118108107121119118114115112110114115108108103103108109108106109113114114118114114104107116115110112116106114113116117114113109111110110111111108110113113112112112112112113113113113114114114114114114113113113112112111111110110110109109109109109109109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146135140142135132130130130133129126120117999999999122113113115999999999999999999132128125129131130133133134134134134139139136136134133132136136135138135137138139139140138139142142142140138139139139137139139137136137136135135136135134133134132132132133132131132133133133134136135138141142142140138145147148146150148147149150150148146145144143145146145145144141141142143141141143144143143143143142142142142142141141141141140140140139140141141141139140140141141141142142143144143142142143143143145146144143145143144144144143143143145146146147146145146147147144146145146147147148149149148148150149150150149148146999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127130127123124124125124125126125124124124124124127125125123123123123124123120123122124122126124121122123122127129131127119111999999999119122126125124125126121119118117115112111121121128122122118118118120118116119115115116118118117116116117118119117117115114113116110113116112119117120118117115103114114110103103102108110110108112109112109104104113112121114114113113113114115112114114114114113114117118111106118112112112113113111111111112112112112112112113113113113113113113112112112111111111110110110110110110109109109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156146144144145139137140139138138135127119120118118118114113120999127999999999999999136133129129130134135133134137134132137136136134135136133136133132133131133134136137138139138139140141141138137138139140141139138137136134133134136135134134134134134133132132133133133133135136139141141144145145145145144148147147148147149150150151151149147147147147148147144143142142141142140141141142142142143142142141142142141141141140141141140139140140140141142141140141140142142142142143143143143142142143143144143144144144146144144144143143144143141144146146146145147146147145147147147147148148147145147148148148146148148145999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130123125123129130124125123125124124122124126126125125122123123123123121121123122123119122125121121123120126125127131134116113122999999121127118109124116100118107115116 98112117122127123117122121120118119118123118118117121117118121123114113123115115114112108109104104118119118111112117104105105115114113104105111111112110110111111112 97 98 96110112114101112113113113113114111112111112113108113117113107107115113111112113113111111110111111111111111111111112112112112112112112112112112111111111110110110110110110110110110109109109110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156147146142140137141143140132137129124121118117118115114114119122125132999999999125123121127130132134133136134135134134134136135136136134135134132131131131127131132133131134135140141138136137138139140141141141140140137135134134134134134136136137135134133134134135135135136138140142145146147148149149147147148148151152152153149151151151150149150149148147145143142141141141140141141140140139140141141141141141141141141140140140140140141141141141142142141142141142143144143144143143143143144144144146145144144142143145144143142142144144146145144145146148147146147146146145145146147147146145146147146147145147148144145999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120126125126127130124125125123124123124125126125125126122122123121122121122120122122123122121122123124122120128125128136111112113100122121121116100115106 99108121999118122121118124121122122121118123114115118119117122117112119116117115115118117118112108110113121112106121120120119120104104103111112112108108109109109111111110109109 99100107100108110110111111111113115115114110107107111112112112117110109112113113112104113109112103 95106110109110110110110110111111111112112112112112112112111111111111110110110110110110110110110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130122138142146144141135131123118118118113114115116119127129129131121121120118131132132133135137137139139139136134134136135135135133130132130127126126129129131132134135136137138139140139141141142143141140141140137136134135134136136137138137136136135137137136136139143146148149150150152152153152153155151153153153153153152152151150151149148149145143143142141140140140141140140138140141141142141142141142141140141140140140142142141141142143143143143144144144145144144144143145145145144142143144144142143144144144142141146145145145143143145147147146146146147145144145147147147145144145145147146146147144143999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121120116123126124130135132127127123125126124125126125126127127121122121120121122119121122121123121119114118121121124126130134116110111 94116117130136115105107100123116114115117116119121122118129107117120121118120115113116115120120121117114119114112112109108109115118118118115119119109109104105117110108104104106108107108106108107 95 94111108106117116111111119111111113114114112110105102116113111114118109111120112112112110113113110111103102103119109110110110110110110111111111111111111111111111110110110110110110110110110110110110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128999999999999999999999999999124116115113114119119121120120118117117119130133131136136139140142141141140140138136137136137135131133129127127127129128129132132133136138140141141143141140140144145145144143142138137137135138139138139138138137137137138139141143145148150150150151152153155155155155151154154153154152152152152152150150150148147144144143141141140140142140140140141140141141140140141141142141140141141140140141141143142142142143143144143144144144144144144144144144145146146146144145145145144144146144145144141142145142145146142145147144144145145146146146145145144145145144146146145142141999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145145149129999999999999999999120120118110109119124126138123127132126126123120121121126126127122120121123122121120120120121120118120122116115117118129124129131120121120120119121134126114130131132125125116113120125118104116119122113120121119116118117114120116117122119118111115114112115116115116115122122122117109110107118106111112111109109108107108107108110106107112112112108108108111112112118118111110116115116103110111111116117118115114117 97 95 97104105104 98109110119100117117110110109109109110110110110110110110110110110110110109109109109109109109109109110110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126118116114112117120124118117124116117118119120128130137138140143142144143141137137136136136133132133134129128129128128129131132135139141142143143147148147149149147148146143142141140140138137137137138137139139138140139141145146148150151152152153153154155155155155153153154153153152152152151151150150150149147146146144143140141140142142142141141141141141141140140141141141141141141141141141142144142143144143144144143144144144144144144144143143145146145143141145145144144144141143145145144144145141143146143145145143143144146145145145145145145144143143144144144141140999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139138141151151128127147126124124124122120115116121125124124123123125125126122121116116120124126124122120122123123125120121121118119120119118119118123123125125124123121119119120121119119122121120127128129125120120119117108107122119120122122114114118122117118122120121125113120115120120120119114114108124122117113112115112116121108110102108109111103101111105105109110111112108109110111108110114112115110112110109110105106101102107117116113109104114103100 94106103111116118118100 96108109100 99112112109109109109109109109109109109109109109109109109109109109109109109109110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131130125119115110109113114122122115114117117116117123116116140142139141143139138137136134136129130130129129129127130131130130135136139140143144143145147150151152148150148147147145145142142141136136136138139139140140140140142145146147148150152153154155154155155153152153153153153153152152152152152152150151150150148147144144141140142142142141141142142142140140140141141139140140141142141141142142143142142144143143143142143144144144142143144143144146144144146146146146144143142142146146145145145145145142145145145146145143145145145145145147146143143143142143144143141139140999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141150138148142131146132146148129130130126124124128121125134137126123124126120124124117116118121122123124122122121124123123120121121121120120118120121121120120122121122120118118118122115114128122121120120114119120119120121116116113118120120122120121117117119116119119117118123114117119119119120119118118118124112112109112107109108105104110106109111105104100111112109116116109107108110113115116116116109111111114113112106112113104106113115113107108106107106108109 96 97105115119109104102 97 96109113115115114112108108108108108108108108108108108108108108108108108108108109109110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138128124117113999999999119117113114116117114119118118122999141116112132137136134134999999131130127126127128128131132131133137143143142145146145147149151153155157157158999999999999146139139135136136137139140141143142142143144145145148150152152154153154155155153153153153153156154154155154154154153150149149149148147145144142142143143142142142142142142141140141141140140139140140141141141142142142142142143143143143143142143143144144145144145146146144148146148145146145144142142143145145146143143145145145145145147148145146145144145146147145144144142141143142141140140139999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137152149130130136135135131126127130126123127127125124126125129131138124123123120126126125118118121122122123125123122123123123124122121123122122121117116123122122125124124126116116114123119116116115117118120118119114120117112118116119120118117117112114113119117112117118116112112115110107117110112108109107125123116109111108107122100114114118120120115111118114111112109103109117109111111111111114114113114112113108114115112108112113105105111110109105105113107114114111108 98 98109115115115115110110101112114114113108104108108107107107107107107107107107107107107107108108108108109109110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140134128999999999999122120117117118118118121122122126128999999999999999999999999999999999999132130126126130131134134135140142146148149151151147149150152154155156157158999999999999999137136136135135137138139141141143143143144145145149150152153154156155155155155154154153154156154155155154155155153150152151150149148146145144143143145146146142143144143142141140140141141140140140140141142142142142143143144143143143143144144143145144144145145144144146146146146146146144143144144144146146144143144145145145145146146147147147146144147146146144145144144142142141140141138136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134138136138130127128127125129128123124123126126126121123126129132131123124121122117118120118117120121121121123123124124122121127128125122121122120119118122122121125123123124126126115116118120114116117112116120120110117117118117113109114117120116116110108111110112107106115115115103116116116115116116119117117106108111114111112111112116105113115114112117116111111 96100106110109110112113115114113101101111110113101112112112112114105112110107106110112111110111111112114112109107119112101112110111115102110113114116114109111107104106109107107107107107107107107107107107107107108108108109109110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157143138140121999119119125122119119121124125125125127126130140999999999999999999999999999999999999999129129132132133137137138143146147151152152152153152154155156156157159158149999999999999135135136134135137138140141143142144146145146149150150152152156156155154157157155155155155155156155155155154152151153153152151149148146146145145146146147144145145145144143142141141141140141141140140141142142142143143143143143143143143143143144144144144144145146146146144144146145144145145145143146146144144144146146146147145146146146146145145148146145146145145144142142141142142139136138999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136138139139136133130126125124122122123124120122122133124126133127122121122123126126116118124124124120121122123121123125125124126130130124123122122123122117119120125126124123119118121123123117119115118117116118122120119116119112111122119117116113120105104112113111113113108114113113112115115114117116115120121115115111116115105116115108109116115100114109114113112115116114117119109115112112113115113115114113116 98115114114112 96112108108110109109111110108111111114114114114115116117117110109109100101 99102108107104109112110109110110106110111107107107107107107107107107107107107107108109109110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157150151148121999999999999999120120123132136127128133133133999999999999999999999999999999999999999999999999128130132135138139144147149150153154156155155157156157158159158158157157999999143141137136135136138140141143145145146145147146147147149149150153155156155155155154154154156157156156156156156156155154153153152151151150149148147147148147147145145147146144143141142141141140141140140141142141141142142142141142142140141143144143144142143144145146146146145145145146147146144144143143145142144147146145146145145145145144144144146147146145146146144143142143142144142136135133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137132138136136134133124124125124129130131130131129129126128136121123125123124131125126126125125126122123123124126126127125126128134128126126125125120118120119121124125127119121120119118124118119116114114119118122120120121120114115118117117117113115122126125114114113112108112113114113115116112116117116120115113116108117120115112106105109119120115113109114113115118118119120120113113114110116119115115115112 99107113116116117114107105106111104111110112111110108110115112112112106111120120112113102103 98106110111107108103109108111121119108105105107107107107107107107107107107107107108108109109110110109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136131128125121999999999999136128131131138138135134999999136999999999999999999999999999999999999999999999999132133135137139141143145148149152154154155155156156158157159160159158155999999141140138138136139141141140142143141144147147147147147147149148153155156155156155154154154155155155155157157158157157155155155154153152150151151149149148149148146145146146145143143143141141141140140141142142142143143142142141141141140142142143141143142144144145145145145145147144145146146146144143145147145146146145145145146145145144144143144144145146146146144143143143143142142140138137133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139137136138135139137128128127128128128133131132130131132133128131130125126139124123125126124126124123123125124122123125124123126126128126127126131122127119125125124124124119116120122121116117118118115115114114121115114120121119121118119116119112111118115119121114117115116117118113106111111113117115115118118118116110112116116117108108112114119121117114112101114115115116122121116117115115113118118114116118 98101116119119110114114104106111107106109109110109109110113112112114110109108112104108104111112111109109109109104 98109109106109108107117115103105106106107107107107107107107107108108109109110109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126124128133135138146999999144145999999999999999999999999999999999999999999999999999138131134138142144145145146149152151152154155155155157159159156155148147999141138137141138139139142143142144143144146147146147147149149151152154155156155156154153153155155153156156156156158158156156156155154154152152151152151150149148148146146146145144143143142142142141141141142143143143143142142140141142140143142141143143143143144144144144145144143144142143145145145145144142146145145146144144144145144142143144144143144144144145143143143142142140139139139138124138999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139139137136136139137132130130131128127128128129130130127131130130130123123125124123121121127123124133124122123123124124125126127132129128126126118127125124123125123121121121120120122116117117118118120118120113121116114113117114120117115116115114115117110110107110113117119116118117117116115117114119118116118114115117118116108116114113113114117118108117104103105101115118116117117116114113116116101106107109108118117118119119111115102113113110111109110110109114107110110111113104101102111110103111112112110109109115117120112102103107106108110107107107104106104106107107107107107107107107108108109110109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127129130129129133135135999999999144145999999999999999999999999999999999999999999999999999999999132130133137143143144147148150153153157157155155159158158156150149999999999136135141139139137140141142140144144144145144146146149147149150152152154156154153153153153153152155156157156160157156155155155154152154151152152151151147149147146145144144143143143143143142142141141142142143143141140141140141141141141142142143143143144144143143145143143143146143143143144144144145144147146145147145144144144143143144145144145145144144142142144143142140139136138139137132137999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137142139136134136130129131130129130127125125125130127126127130129136125126127125122122126126122126131125125124124124126127126124125128128125134131130124124125126122116122122121121119119117116115116120119119117120120120120113121115117118120121115114117111118116115117118118115117116115115118110114114114118117116118116116115115116113112113114116117116115112122105111114115116114114114115115115115103105113106108113117113120121110116113114116115113110110109108109108110108110108102112116 99110112107116115111110113114115112113108108105108105113101104101111113113113112107107107107107107107108108109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128128127127126126129999999999999145145999999999999999999999999999999999999999999999999999999999999999999137134138144144148151155160158159157156157160164161160150999999999999142135137136138141140138141140143144143143144145146146144146149148153152154153153151153152153154154156157158159157157156155154154153153152151150149149148148147145144143143143142142142143143141141141141141141140140140141140141139139141142141142142142143143143142142143143143144143142142143143148144143146146146145144143143142142143144145145145145144143140141145144143141140139138138136132130999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135133138133130131129130128129131132130129130130128131132129128126126125126125123125126126127127126130127124123124125128129132126126126126129129127126124122119121123122122117119120120116116119120122117113125120113114119118122117126120121119118118117117119110115120120124123116118117114119116116115116119116117118119118117117119117116113113116117117114112123123122113114116115115116115115114114104113110113110108126121117119115106113114116119111106106105108109107108108109103103102101113100104102115119101113112108106104117114 97 99105100106107108107104100109111110113107107107107107108108109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150155145145151157162165162160162999999162159161999999999999999999136136135136141140139141142144144143145146148146145144146146146150148151150151152151153153153154154157159159158157156155155154153153151150150148148147147145145143142142143143142141142142142140140141142140140139138137139139139139139140140141141142142142143143142142142141144141142144144144142146148143146146145145144143143143142143144144145144143142142144145145143141141137138138136131127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134138136133128127130131130128128132132130129130132132134135131130130128128134132128125125125124127133126128130128131125128130130120122124124122122124123123123122123122122122123119121119118126125124125121120123121114112116118120119120120122123117116113120121119119120121124118117116114112127126124117109119119119118119120119118119117116115116117116116121116106111114110113114116115114115114114114121120120114106104122115114114112110113118118119112112114114113113106106108112110108101113111111108106112106104103106106108108105100102106109112109108107108104 99 99104111110109110107107107108108109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162164167162168169172999999999999999999999999999999999999999140136140136140140137141141141144142143144146146145145144147146149146146150148148152153152152155154157159159159158158157156154153152150148147147147146146145145143142143143141141142142142140141140139139140139138138136136137138138138138140141141141141142142142141142141140141142144144144142141144142142143146146145145144143143143142143143144144143142142142142142141140139137137136134130125128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132131131123128132134132134133133132134132135133132135134133132132130128131130129129124128129128126126127128128127129130127122130127126126124123125123121116123118125124123123121122122122123126125123122118125124124121123124125122119116123122122126125125121123119121119122120121117122122126124123121117119119118120118127125123119118119118118118116119119119105106106106112106103114114112117113113121116115105105105121109111115114110111109110112112112112111112102104106116104104104100119111115111109113109 96101109112112111109111108106111103 92104106107109 99100111108 99 99110111113108108108109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178179173172999999999999999999999999999999999999139139139136136135138139137136138137140142141146144145144143143145147146148149148151153153152152154155156158158158158157156155154153152149148147147146146145143143142141141140141140140140140139139139138138139138138138139138137137137138139139139141140140141141141141141140140139142140140142142140140140144144146143143143144143143143144143143142142143142140140140140139139138137135135132129126125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131132132127129132133134131130132133133132133133134131129134131132131128129136128130131130129129126127128127131125127130130122124127126125125123122129121119121120124123125123124120121123122117115116114117116123124122121123123124121113116119119120122122122122121119120120118120119122121121120105116114114122125123122124123128119119118113119121118121118113113111110111110108107113115113114114122119114117107110106110110107111110108104104103104103114119118119116120109112105103100104100112116106107106104101106109108113115112113111116111101 91 96112113112113108108105103 98112112115116108109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182177169168999999999999999999999999999999999999999137136137138134136138134136136134140142140144143143145146146145146147148149152153153153154154154155157158158158157157156155153152152148147145146145146145144143142143141141140140140141141140139139138139139139139139139138138138138139139140140139140139140141141141141140140139140141142139139140140140142142143142141141141141141142143141143142140141141141141140140140140139138137135132130126125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128132134133134135999130128126129131133134132135134135134133134134132131133134132130130132133133130133132132128127130130127126122124125128124122131126125127126123122121124125123122123124125124123118122121122119123119116115121123123120119120121121123119119116119120122121127124122121123122121122122120121119119119117122123124125122121124123119118113116114121122121125116115115112112111107110111112115108106114121116109115114114114111109108105102107105109109105 96 99101103109110112111119104111109112110111109111110102102104107109110112115111116119123120110101104114115110112110109109108109107102113113109113109109109108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159159999999159169173171165164163999999999999999999999999999999999999121120134133134136136134133133133136137141143144144145146145145146146147148149153153154153156157157156158157156156157156156155152150148148147146146144145144143142143143142141141139139139139139138139139139139139138138137138138139139139138138139139139139140140140140139139138139139140141139140140139141142142141141139139139140141141141142141140140139141140141140139139137138137136131129128126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138138135132132134136135136132128124125128130130134134134135135135134131134134135136135134132132132131132131130131131132128129126125126127125125125125123125125126126122121121121124125123124122120125123128124123123117122123122113121128123120121119122120120124124122121119128124125122121123120122122123122122124123124118126111116117115124117107124120123118118118120115115119120118117114112113114112109109103104104102 91100100102112113114111109111111109103109111110110110102108113103104103103105105103110116114110111105109109119108106105111114115116116117122114104113111113114114111108111110104101104100 97 98 99106111111116108108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157157157160160168162159159156999999999999999999999999999999999999999132142141135136135132131129131132133137141143142144145144145145146145148151150152154154156159157157158156156155156155154153152151149149149146147145145146144142143143142142140139138138138138138138139138140137138140138138137137138138139137138138138138139138138138138138139139138138141142139139139140140140139140139139141140141141140140140141140139140139139138137137136137137135132129127128999999999999999999999999999999999999999999999999999999999999999999999134139141999134136137136136133130132133132132127123124126128127129129133129133134135135136136135135137136136134132135131132130129130130128129128126125124126125124124125123123124125124124120124121124125123123122123122123125122119123122122121112122122126123118118124124120122122122124122123118125124124122123117119119125121123129116108110113113111116115115116115120122124123124123121114120114120120120114118116113118116116113113999999999999999109 83105109109106110110114117114111109112111108108106106114103107111110112117116113110109112109110113113105108111115113104105112113112118115118114115115112114111108102 95 96 94 96102106107109108103109107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154153153153153153153153999999999999999999999999999999999999999999140134134135128128128128129132133134136136139142143144144145145144146148151151152153156157156158156155154154154154152153152150150149148147147146146145143143143142143142141140140140140138137138138137138137136138138138137137136136136137137136136137136138137137138137137137138139141138138139137137139136139139140140139138139139138139139140139138138138137137137137136136134133131129128131134999999999999999999999999999999999999999999999999999999999999999999999999133133133133132133132132127128126129129122121121125124127131131133133136133134133135137137137137136137138136136135135133129134129131130130127126124125128125127124122123124125123124124123124124126124125124123125122120113127119124118121121120121126125121124123123123123122123125125122120124129123124122122124119118120126120119119120125121119115119120124122124126125124125120121122125124118121120119120119119118118116119112 83999999999999999107107115104112103103108110112112112110110109110110109112108109105112113115115110108108109112113113115113111118117102113116109110116117117109114114112110107108105109 99 94102100107 97 94105108114115103115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150149149149149149999999999999999999999999999999999999999999999138131130132129128128127128129131133134134136139142144145145146147148150153154155154156156154154155154153152151152151151152150149148148148147146145144144144142141141140140140140140140139139138137136137137136136137137136136136136136135135136136136137136136137137137137137138138138137138137137137139138139138140140139138138138138138138137136135136136137136136136135135133132131130129132134999999999999999999999999999999999999999999999999999999999999999999999134133132133131131129127127126124122122124122120121121121124127128133134135139138136140139136137137138136137139139138134130130130128131125128126124125122128128126124123124126126126125125123121125126125124124123122122128126125123118121122122118118116119119118123124123122124120120116120120123123122125120121122127126123120120121123123119118119121122122121122126125127120124120120117127116120120121125125123123121120121120121111100117115104101 99101102108118103115112110108106111110111107106106106104107107109112113110112112113109112114114120118117106108112111118118110116113113112113115115115113102114112104101107110111110110109114113109114114 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149147147147147147999999999999999999999999999999999999999999999129129132132135133126126126129132134136136140143145146146147148148150152152154156155155156156155155153153151151152152152151150150149149149148147146145145144142142141140140140139140140139140138137137137136136136136136136136136136135136136136136136137136136136137137137137137137137135136136135139140138138136140139138137136138138137136135136135136135136135135134134133133130130128129130134999999999999999999999999999999999999999999999999999999999999999999999134132132134131128129128126126127125124124124122122120122124129131133137138140135138136138136137135144134134136137138134128128127129128128131126125126125127127129125121126124124126126126124123124125126124125124122124126124124115124121121119119115119117117117123124121123122124123123122121121121120121119117118120118122123118124120120126120120128121121126126119117122123124121122117117124119117116116117126118117120122121120119109104103103 99 90 85 93 86 94 90101 96103101102104106107102102100103105106105103106111111108109113110113116110121119118111113112109111113119118118111112111113108113113110107105106 99108113114110109111117112108100114 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148146146146146146999999999999999999999999999999999999999999999129130132121134130128126125127131132136141145150149151151149150153152154155157157155156156156154154154152151152151151151148149150149149149149148147146145144143142142140140140140139139139139138137137136136136136136136136136136136136137137137137136136136134135135136136136135136136135133132135138138138139135139139137135134134134135135136135134135135135135134133133133131129129130129129132134999999999999999999999999999999999999999999999999999999999999999999134134132134128127128128127129131124126126125122121121122127130133136140136136137138136136134142143137135135136135137133128129127126125129126127127126124126128128127124126124128123123125126124124125125123123125124125124125121121123123122122121116117119122123119113118120122122121122123120121121121122119118121121120117119115124119123122129127127124124126125125122119124125125124124123124118122122124121119122120120119120117119118113111111 86 81 93 80 84 99 90 89 84 97102112103106106106104102106104102100102108110112111110109109109108112113110111121121109104109111120114110111112113114113113108108111112103103 95 95115106112112114115103104107 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150148146146146146146999999999999999999999999999999999999999999124127130129128129128126125124124133133141144146151151152156150153155153156155157157155157154154154154151151151149148148147148148150149150149149148147146145145144142142141141139138138139139139137136134137137136136136136136135135136136137137136136135136135135135135134135135135136134134133133134136136137138137137135135133133134135134135136137134134134134134135133134133132130129128129130130132130999999999999999999999999999999999999999999999999999999999999999135134133132128128128129130129124126128126124124124123124127130134136136140138139136133134136140142135136134135134130130131133131127127127122122124124124129128127128126125125123125125127128128127127126127126124124123123122120122122123122119119118117118119121121121121121122122119121120121121121119121121120127124121120119124123128128127127125125124123124122125126123118123124125125124118119119122120121122119117116122118117118116117114124112111 99105104999102100 90 89114113113108107104107107106106105104104104102102104103107105111113108103 97113 99112111115107104106110110114110113117117118115108107105107104104107116108105108105105109104102 86 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144147147147146999999999999999999999999999999999999999999124127126127123128127127125125123123131133141142145147150152154155157156154155155156156155155154153154152152151149149147146146147148148149149149149149147146144144142142141139138137138137137137137136134134135135136134134135135135135135136137136136135135134134134134134133133134133136135134135134134135136135135134134133134133133134134133134135136136134134134135134133134133133133131130130130128130129999999999999999999999999999999999999999999999999999999999999999131131134133128129129129127128127124125126125126125128131132137136138143137137140137134135136134135133136135137134131131131129127124124126125125128126125128127126125126121122127127127128129128128128126129125126126125124125124124122122120121121122119115113121122121120120119116118123124125122118119121121123123125125124122120123125127127125124126127127127123123124124119117124125123123123123124122122122124126125125127123121118117115113111112112108101107102 95 98 97 99 99102103 96105105106105105105103104105104102104102 97 92101104104 97 91 92 91106111111110114109101105112113109110116113110116108111109106106123107119112115105105101100106 99 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149150148147999999999999999999999999999999999999999999124123126125123126125123121121124124130138142141147148148151155154157155155155153154154155153153152152152149149150149145145144144146147147146148147147146146144143142141141139138137135136136136136136137136136134134135135134134134134135135135135134134134134134133132131130131131131133133133133134134133135134133132131131132132131132132132132133133134135134134134134134133132131131131130131129127128126128999999999999999999999999999999999999999999999999999999999999133131131128126128127128126126123124126127129126126125129132132135135142143142141141139143136137138145136136134135131132132127128122125123123123124125127128127128129127121127128127128128126126125127129127124123125125127125125126122122120125122122120125117125125122122123127128121119121127129129125123123123121122122126124122122122121121122123128126120127129119123123120119121120125124124124123122121123124125125126127126124115117114112109111111112105107 98104100 97 93 88 96 94101107107107103104101 98103104104103105103101102101100 97 96 94102105106106104102108104 99104109106105110118117113109111111109104111116121107106102106 96 93 91 91 97 81 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157153999999999999999999999999999999999999999999123121120121124124124125123122125124130139130137144147144147153153152152151150152151153153153152152151151149148147147146144145145145144146145146146146145144143143142141140139137136136136135137136136136136136137137136136135134134134135133133131133133133132132131130131132131132132132132130132132132131135133131130129130131132130131131131131131131132133133133133133133132131130129131130130130128127113127999999999999999999999999999999999999999999999999999999132132131127125125124123122121121122122123124125125130130125129133133137138137142142143141136139145140140138136134133131129129124122129128122123123124124124127129125130128128127127128127127125126125125125125125123124125125125125122122119121125126128126125121123123124125127122122123126121122125127128128124125124121123123123120120122121125125125124123125121123123126122121122118125120121123120124124126124119121121125124125122120116116119114109111110111107112101102 99100 98103 99 89 93 98 98 96101101100102102104106101 98101104101103101100101100 97 96 95 99100 99105103 99106104102103109107112112104107108106108125116115110101105 95101 85 88 99 98 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162160159999999999999999999999999999999999999999999999122119119121123122123125125126126125130138132139145146143147149149149151149150150151152153152152151149149150148147146145145145145144144144144145144145144144142141142140139138137136136136135136136135136136136137137136137136135134132131130131131132133131131131130131130129130130129130131129129130131130131132131131130130130129128128128128128129129130130132131133134131130129129131130130130128127125123126999999999999999999999999999999999999999999999999999999127126126124123124122122122120121122122125123125126129130126129132135139137142141141142142146141144132133131135135133135130132124125125126128126127124125129130124125128126125128129127126126125125125124124123125126125122124125122125122122123122121122126123125124127128126128129126125126122124122126124127126126128124124124121122123123122122124125125122124125125126127124128121121117123118120118125121125125123123123121120121118118123123118114112112108107102105104101105 98101 98 93 93100 97 87 95101 99 97102106104102103102102104102102104100 97 96 94 91 92 87 93 94 94101 84 85102 98 87 87 80 86 98 97 93 91 93 94 98 96 97 95 89 88 86 89 84 81 99 96 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162162154999999999999999999999999999999999999999999121121117117120117120121121123123125126131133142146142141144145147148150150151151151151151152151151150149149148147147146146146144144143143143143143142145144143142141140139138137136137137136136136134134134135136136135135135135134132132132132132131132131131131131130128128128129130130130130132129129129130127131131130128128127127125125125126127129129129131130132131131131128129129129129127127126124122125999999999999999999999999999999999999999999999999999126126127125122122121122122122121121121124125124127128128127130133136137138141141141140140141139136138137135134136135131132130128127128133126122128126129129129130131124126126124126127125124125126126126127126124123124123126125128125126125121122121125125127127129129122125124124126127125126122123123126125123128127127123121122122120121121123124121124123123122120125125124125125121123125122122124124126127123124124124122125125119124123120120108118125116114100 99105105103102102 95 98 97 96103100 94100 97100104105111108103104 97100 99 98 99 99 98 98 94 90 90 88 91 92 97100 97100999100 86 88 88 91 87 75 83100100100 86 93 87 83 84 92 94 90 95999999 95 83 83 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166164165163159999999999999999999999999999999999999999999999124114116117120122121122122121125124132135143146146147143141145145148150151151150152152151151151150149147147148146145145145144144143143142142142141144144143142140138137137137138135135134135135134133134132134134133134133133134133132132131131131131131131129129129127127127129129129127129130130128128129130132132130129128128127123124125125125127127129130130130130130130130129129128127125123123124122123999999999999999999999999999999999999999999999999126125124125125124122125123122122125125127126127126125129127127130134136137141142142141141137136135133134135133131134132129128126125132132129127130132131127127128128130130133132131124126125128133130128128125127124123122125128127128126128128128125124132127126127125122124126126124124124126127124127128127127126126124126127125125123121122121122124120119119121120122122119120122125125125125122125121121127127125125122123121122124118115119116110104105105110113 97 95107107102106 99105 98 96 98 97100101102102 96 98100102105 99100102 99 98100 98100102102 95 91 96 94 94 97 94 94 98 88105 99 93 92 94 96109 87 81 85100 97104107105 87 86 89 94 96 95 94 94 96 89 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172172169167164161156999999999999999999999999999999999999999999999118117118122124118120125123126127131134141140142140141140144145146147150152151151150151149149149148148148148146145144144144143144143142141142142141140142141139138137137136134134133134133134133134133132133133132132131131132132130131131130131130130130128127125126126127129129127126128128128128128129130132130129130129128125122123124123122125126127127128129130129128129128129129126124122121122122122999999999999999999999999999999999999999999999124121124124123120120120122123123123126125127129130129129129129130134135135137137138138140140137138138134134132132131131132131135123130124124127130129130129133128131129128127132131125124124126126123124128124124124123122122124124127128125127129129123122126128126127122122119124123125123124124122124126126127129129126126126124123124123124125126126125122118117117117122121120121121119122122119116122120121127122122121121117114114114112116113107109107101103102106 99100111102108115106106103101110100 98105100103100100100101105100101100101101101 97103103 99102101100 96 97 94 93 95 92 99102 98 89 94 93 94 94 85 90 87 96104107107 82 84 88 90 93 96 96 96 93 99 95100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165170169172170168165160159999999999999999999999999999999999999999999119118119120124117122120127125126130129129136138138138139140142145144146150151150151150148148147148151150149147146145144144143142143142142142141140142140140140138137137137135135135135133133133134134133133132132132131131131131130130129128128130129128129130128126129128126127127127125125124127125127128130130131130128127125123123123123123123124123124124126126127127125125125127126124122121120118116121999999999999999999999999999999999999999999124124123123123126123121123122123126124125126127130130129130133133135138139138138137137139137139141142137136132132135133132128130133129130134126128129127127127130130128131130127129128125131124126125127127122128125125123126125123123124124126126127128127126126126126124121124121127123124126125124125127124121122125126124125124125124123125125124126125124124118122118122124124120119117121126119120118115115114120119120116115110107111112109106111104102106103 97 98103103 99 99101108111106108104104110101 98 95 96103 98102106107107104104101 96 97 99102101102105110104102104105104 99 96102 99 93101 91 99100 97 96 91 90 90 94 79 98101101 95 90 79 92 91 93 90 89 94 93 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167169170171169166164162159167999999999999999999999999999999999999999120119120122126127126125123122127129129130132134137136138139144147146146148150150150150150149149148148149148146146145143143143143141142142141141139140140140139140139138138138137137133134134135135136134133132131131131131130129130128127128131130129128129129128129127127126126127126125126125124123126129129129128127124122123121121122122122122122121121121122122122122119117118118119122122121119120120121999999999999999999999999999999999999128125124125124122125127122122122122121124129130131133132132132136137138138139141139141140140140137140140139138136134133134133134136134127132131132131132133133129129131129129130131125128127128129127127128131125127127123123124123122126124124124124128128127126125127120122126126125125125122123125125125124126125124126126125126124122123125124124124123122116122124119125124126124124123118121121117118117118113115114119117117116112107105114111110110102102101104107 94100 94105103100103103110103106106105106109 95101 92101100103105104102105104107105100105110105102115111104105109102107103100106108103 95 90 96 96 98100100106110109 97 84 97103114 82 89 89 90 87 90 88 89 91100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177169170172172171168166164164167166168999999999999999999999999999999999999999999119127126125124123121125127129129130132135137137139141145145146147148149151151152151148148148148147145145144143141143142141141140139140139137137139139137139138138138138137137137138137136135134132131132128127126130129129129128129129130129129129127127126125125125123123124125125126124124125126127127126125122122122121120119119120122121119119117117117117118117117118117116125128130119119119121999999999999999999999999999999129128127125126125126126128127123126126125126128130132133135135136137138139140139140141142141138138138138137135137135136134134133130134133134132132132134133131134131129128130128132132130126127127129131126125126129128126126121121123121121122122120124127126126127125126126122125121125123127129129124124127127127126128127127127126125124124124123121123125121120116125126126126124121123124121121123121116115117116116117118116113115114109109107111103111115119113111113104104 99103104114100106107106107111110108112112102107 96 93 96101103104107107107111117 99100111115116109111110107106106111105105101103111 94 90 89 90101 98106107104107102 86 97 99100105 97 81 86 84 87 86 86 90 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172173173175174173171170170166165165999999999999999999999999999999999999999122116125126125124125122123124124125129132133136138140142144147145145145145150150152150149146148147147145144144143143143142140139138138137137138139135138138136138136139139138138137137136135135134133131129129127126126130131131131130130128128127125124123120121121124121120123121123125126126126126125124125123121121121119120120118118119120120118117119117120119117118118117117128128122119118117118999999999999999999999999999125126125124126125125126128128125125127127124127131132134135138139137139140137139141141138138139138138136135137137135134132134134134134135135135131131132133130131133130128125130128127129126135128127127131127127127128127122124122121122122122120121121125126127127127126126127125123124125122123126127128126127125125125126127125126123125125124123123121123124124121118119118123122121122122122121119117122121120119120116116117115117112111109110115114107108108101106101104104114108109114117110114107107109112111109108117115110105 94 97 97 98104106107110109112109113113108108109118114111112113110109109107101 99 97108101102105103102108102101103 92103100104106 98 95 96 91 92 86 85 87 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182173174176177176176175175175174175170168167167999999999999999999999999999999999999999116122122124124123121122119119123126128134133136138140141145146147144144147149149149148145147147147146145144143143142141140139137137136136136137138137138138138137136138138138137136135134134133132130129128129129129130130128129129127126122125121121121122120120122121119121121122122127127127125125125125123122123125125124121120120118121118118118117115117117115116116116117128128127116115119116113999999999999999999999128127126122125124125125128129130126125126128129131134136137138138139140138138139141140139139139139138140136135135135134132133132134132133132132132127127126127131134131134133128128127130127128127127127127126130130131134132125124125123120119125124125125124124125126126125127127125123122121123122124126126126126126123122125126125125125123122122123123122123125125123122117118121120119121121122119118121121120119117119120117117118114111111114113111110107106113117107 97113103110116114 98105107106 94117105106107104103113106108119117110 90 89100106108112112116114115110116123127108107125104109112111114120112107105108106102105104110107102105104103 99101103104 96 99 94 92 98 97 90 90 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182177174175177176176176176175175174173172169167999999999999999999999999999999999999999999118122123123124121119118118120122126128131135138138139140142143146146145146146147146147147148147146146144144143142141140138137136136133137136137137138138138137136134134136136135134134133132130129129130129130126128130130128124125125122121121122122122123123123122122124122121125123125127127127127128128125126126127126123121120119119118118116116116117117114116117118118128127123112114116116114114999999999999131130129127128126129127127127128130129127127129129131132137137138139138140139140138141140141140140140139137137138137135134134134134133132133133131133131132133126127129129131133128131131131126126127128126127133131132132125126125125124124126126126129124125124123125121122125124124124122124123123126124123124124125125123123123124124124126123122124123124121121122123123122122124124124120116117116117118118119117117116114114117114115113112109108111112110109111109107106109110110106104103108 97111105119115117109108123116103114114106111117122124110102113109116103113119113114111112114107124127119114107107113101104106107107107106111112111111111113110108110108106 88100102 98 96100102105102 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181172173175175175175175176176177175175175172170168999999999999999999999999999999999999999120120122123120120116114116117116117125128131133134134137138141144142143145145145148148148148146145146144144143142141140140138137136135136137136136137136136136136135134132130129133132132130128127127128128128128126124126128127126126125124123124121123120124123121122122122122125126126126125125127128130130129126126126124124122120119118118116118118118118116114120121120117114113113113114112112112120999134131130130131131129129129129127129130130129130130131133135134139139140141139140139139140139140140140140140141138140141141139136135134135135135132131132133130128133133132131132132129129127132131130127132134131129132131132124125126125126126125125128128130128127127128128122121126125115119123118120122125120119119121122121122121122122123125124122124121121122124121124120117118120120122123121119120116118118122118116118113119114110110112114110111116115113111112113112113109106103107108108103104105107104115107111109115122126118117112108109120119116117114119126126102105129115108113110115125114115115107117115113112114107108110113114114114107111113110108113114113113107107104101 99103107103106109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172173175175175174174174176178179176177175174999999999999999999999999999999999999999999124116117121118115114115114114112113120126126132135135138139141139142142142144146144147147146144144144144142142143143141139139138136135136135136135135134133134133133132131130132132131131129123127127128128128129125124125127128126126125124123122122119119124122122122122125123124125126126125125127127128128128127127126126127124124121121120120121120120119114110116112113114113112106105107108112108121126125127128129130130131134131131131131130130132131131132134135135139138139139140138138138139138139139140140141140141141141141140137135134136134133131132132132129129134134136133133131130129129128129129129131131131130132131132131131126132124130131129131130130128129126125123123128124124125118121117119121118117117119121117118122121121121125118120117118116123124122119118122121120122121119120120119118115118118122121124120115115113112112112111107113115115115114111111107107110109105105106114106104106106114108113114118124120121122106115111102116116116118110111110107109 98116105107111114119124109106112126125116117116108110107106113114106116116116113112109111115113107108109110108104111114111108109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172172170170173174172173173175177178178178177999999999999999999999999999999999999999999999126118121122116112117118116116115114121123126130133133136139141142145145142142144143143145145145144144144143143143143141141140138137136136135135134133134131130132132132131129129129128128127128127128129129129128124126127127127128123122124122123120120121122122119120119122122125124124125126127128128127127127127124123124125125125122122119120120120120119113114999116112113113112109105107117109119129127122123123121128130131128127130130131131132132131129131132135139138138137138139140139139138139139139139140140140140140140139139136134134133134132133129131131134134131129130128130130130130134128129129131133134131131128129130129131130126125129128126128128128127128124122117116125123125125126125122121123118117118117120117119119118118118119117118114115115114122121119118119120121118120120116116116119120121122121118118116114118117116113114112111109116116112112112111110108107106108109111110107106108114111104112113120113113120119112 99101114108106109113109101100100107115103103101114121124114118100110106108111110111115104107113114114114114118111113113112116112106111107106109111114114113113114128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172172171170170170171172175175176176178179181999999999999999999999999999999999999999999999999120121122117119122121117117116116120126124125124129132135137139143143142140141144142142144144144143143143142142141141141140139138138136136135135135136136136134132132131130131128131128130125124124127128128128125127127128128125124123122121120122118119118119119119118119120126121123124125125128127127126125121118118127120120121122123120120121121120119114115114113116115113120120999999999114119123124120119121124128132130125126127130130130132132132132132132133138138138138138138140139139138138139139139138138139139140139140140137135134130135134130130132133133134133129130132129129130130133129133132129130129131131130129130131130130127126127127124126126120121129121120119125124125125127126123121121121119115115116116116117118120117112116117115120119119114119119123117117120121122120121121122121123123124123122118116118118119117117118113115117116117114118111118116115111114117113111109111110109113116113111112116120119121119117119110100 99100108112122117105 95 98102118102101103115115112115131120111115114109108116119115115116111113110114114116112112113110108109116113111113116116116116115114126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170171171169168168169171173174174175175177177181999999999999999999999999999999999999999999999999116109120118114121117115115115115117120121120121123126129131134136137136138139139141143141144144143143143142142142141141140140140139138138137137136135136137134133132133134133131129128130125125124124124128126127127127128127125124124123120121123122119122122122122123124124121122124123125124125126124127122117118119119118117119119121118120119119119118117114116118114113999999116107999115116121123118116117119123125125123125128130131131129128129129129131131130132135137138138138137139139139137137138138137137138137138138140140138136135136134129133129129132131132129128129130127128129130129127132131129130133132132131127127128126124127126128125122124126125123125123122126125126126126127123124124121117117117117114118119119123120121114113116115117120126118119122123121119121122120119122120121121122122122121121121120121118118115116119115116116112113112108115116114115120108111111115112110119120119117112108113115116119126131132120116118117117114113114114116113104103121121106125102104108109120111114115110116116120116115116111116115113113113112112111113116112109115117114115115107114114115115116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170171171170169168171170172174176178177176178177176999999999999999999999999999999999999999999999999114125123117113119119113113111113116118119119120120122124126129132135136136137138140142143144143143142143142143143142141141140140140139139138138137136135135136133134136135134133131130126126125123124125127126127127127127127127124123121120123121119120123121121120122121121123124124124124124125126122122115116115116116116116117119120120120118116116117116113112114114999999999116112114120119121119117115116119121124126127129131132131132130131130131132131131132131133136137136137138137135138137137137137138136137137138138139139136136135136134133134133129132131129129130129130128130130130129132133129129130130130130130129129124126127128131131130126125130130121123123125122122125123123123124124123121124123123115120120119119116118119121115116117115115117116117116120122121122121119119122121119122121118119118115116120123121120116115118114111118114114115112114112115114114109110114111115114123120113111115112113113116113119120115113124115113115115111113119122104123116115118116117129104106109114114112116119120112113114117116117112113115113113114114115113109106114116112118115110112118115115115114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172169168172176176177179180181180181180179178999999999999999999999999999999999999999999999999134131130118114120120115113112115117117117119119120120120122125126128132134136136138140141143143142142142143143142142143143142141140139139138139138138137136134137138137135133133134132129127125128122123123124123126127127128128127125122121120121118117122121120119118120121120121123121123124125125121118116116116114114115116118117118117116116117115117117114109107108999999115112112116119119117115116117118120124128129131132132130128127128129129130131131131131132132133135136136137137135137137137136138138136137137138138138139137136135135134134135133134132132131130129131130130130128129131130128132132133130131128127129128129127129129127131131124125125128127126125129127127125126125122121122119120121120117119117118119122120120119120120121119114114116116116117119121121122121121118119119120122119120117115117116117118119119123115120118115116119115114113116113116113113112111109111116112117118119116119113114114114115117117119114118113125118115117115116120117128114119119112115112111107116116118114117114113118112115116115116114114115117115115114117113114114113115118114113117116116118115116121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167168169170173180180180180181181182182182183179173999999999999999999999999999999999999999999999999130116119112116118114116115116118117118118119119119120121123124124126128131132133138140140141140142142141142142144144143142141141140139138138138138137138136137137137136131132131130130129128129126123122124125125124126126125125124122120118118117116116116119119118119120120121120119121119121122123119118117115112110113113114111114115116115115111110114111108999999999999116115117116117117117117116120124127128132133134131128127126127127128127128129130131132134133132130130132136133133136136138137138137137136137138139140140138136135135135133135131133130130132132132132132131129128131130127129130132131132131127126127126127128132133129131129128126128128128130131129131126131126127125119118116118121122121120120120118119116120119119121119119118112116115115116118118113117120122115119119119120117116119117118114116118119123117117123122113117123118113113117117118112116115113110111113116114116123120113115112112112114108115113111116110114113112126118117116116125126125121117117115111113117117116116114115114114112117117109110115116115112116117116115114115114116115116117116117116114114114115144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167169169170171181178180180181181179182182181180173999999999999999999999999999999999999999999999999123117112105114113113114116118119120120119119118120122123125125125125126129130132136137138138139140140141143143143143142141140140140140138137137137138138138138138137136132132134132131130129126128126126125125124125124124124125124121116114113112112110114115119119120121119119116116115117117118120119117116112109107107109109110109112111110110108999999999999999999999117118124125115115115116120123126126128132134133132131130128129128127129129129129128130130132133133134132132133135136135135137136137137136136137138138140138138134136135135134133134133132130131132131132131131132130132131131128129129129128130131130129128127131131132131132131131128126126126127128123130126127122126122124122125120118119119121124120117118119118120121118118119120114113119113114115116113116117115113119121119120115117121124113108109113114118117117116117116114114118118116116114116116119124118117115116116118119122122113116115112114112112116111114110111116115120116118111109117116118112118115112116114117117116116114113114117115112116116115108108109117105117116119119116115116114116119118117115115113114113113141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168169171173176181179180180181182180183183182179175999999999999999999999999999999999999999999999999999122122116105109116115116118120123124123121120122126126128127128127129132132133134137139136137140141143144144142141141140136136136137139139138138138138138138138137134134133133135133132133131130127127127125125124125125124124123121116114112113118113116116117119122121119121118118116115114116118116115112106107105106107106106108107106106106106113999999999116115115117117118126117116119122123125128131131133133132131130131130133131129131126127125127128128128131132133135134132134137134135136136137137136137138138138137136136134134135134135134132131132132130132130130131132132132132132132131129130129131131131130130130130131130129131128129130129127127126125122125127130130128128121121122128125121118119122122121118118121119120121119120113115115114110112113112111111119115113120120121124116118121124126123117113113110111115116114112121116117117119119118117113116119121122117118120117118117110113111117117117121113112112111110110108115120114112114115112117115117121121118114117119116117115119115112112113111113116113113115116110110116112113117115115115117115113119118119115114113113113110146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170168173177180179179180180181182183182182181181999999999999999999999999999999999999999999999999999126121110107114116115115117121126129129128128129132130131131132131132133133134137138138140142143144144144144141140139138136136136137138137137137138138136137137135134134134133133135134133132130128127127126126126124126124122118118116116114116119120119118119123121121122122123119118114113111109114107109109109107108108108106107105107110108106113999116117118119120120120122122119119123126128131134133132131130131131129129131130130129128123123123125125127129129131131135134133135137136136139139138138136138139139139136137135136135136135134135134133133132132132132131131132131131130132130130132129129130132131132132130128131129127128126126125127130128127124125125124127129129129126124122123123123117118124124123120120121119118117119117118117113113114113112111113114117116116122116118115114115115124126122121118113114113117119117120122116115114112117111114113115117121120118118115115110108112110109116116117121119109116117118117117116112116115118120114116112112116118119113113114117116115120111112109117113117113116118112110110113110112115116114115115116118119114115116117118113114113113107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171170174174177178178179180181181181181180180179176999999999999999999999999999999999999999999999999999999113106107105114118115116124128129131133131133131130132131131131131132132133136136138141144146146146146144141139139138138139139139139138137137138137137135134135134135135135136135135135134131131129127126126128126124124122118116116116115118119119120119121120122123123124123118119119115111111107110111108108103105108110110107106104103105103112114122118126127128120126131121121123126128129132134131129127131133132131128132131129131129128119122126129126125126126129133131130132134134137138138137136133134136139136137135136136135133133132134133134131130129129129131131131130133132132131129127129130130131132133131130129130128129129129129126127126127128128124126122123127125124124126123121124123122121124123123123119123121119119119122122121122119114113115118119109114119121114119116117116117115123125122124124115113114116117119121120117119121122121119120118117113121130122118118113110114112111113117124123124123121114118116115112113117117114117117121116113113116113118115111117115116115114111110112112109113115116117112112112114113113116114114114115115116118116118116117113112114114115105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177172174176178178179180181183184184184185179178178180999999999999999999999999999999999999999999999999999999999111114110114116114119127132132134135132133132133135132131133135133134134136141144147148148148148146145141139139139139139139139139138137137133132131132131131132133132131131129131130130131131130127124125127125125124122122119118116117118116116117118119120120120118119120121119117116112106104111110110106107107107107108108107105102 99103109113119121120119121126129128120121125128129129132131130129129131133135135131132134129129125127126126128130131124127128131130129132134134134133134135135135135134135135134136135137136135133134133134135135134134131128130130130131130130131131130129128130130131133132132131132131132131130130129128127129129127126126124128127125124124125124125124123126126123122121123123117119120121118118119122123123122124119115123123124128123118127124121124122120121120122121126125124115115114121116121119121119117120121119120119122119118120118119119119119113112115113116119112111119118122122112116115108111110113113115116117114119117119115114114115113113111113113111108108110113117114116112115109111112112113112111113112118113114114115115113115114114115114114124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173175178180181183184185185186185185184184180180180999999999999999999999999999999999999999999999999999999999116111107110117121122124128130133135134135136135136134134136138137138140144147147148148147148150149146143141140140140140140139139139138137137137135135134134133132130132130128126128127126127125123126123123124124125125122111118117118120119118115116118118117118117119121115112105107107107104103108105104100103104999108106106102104104100102109114116118120116124118125122125128127127131127128127128128132135137134132135129129131129125130130130130130130129129132134132135133132137139133134134134135135135135132135135136136134137136135134134135134134133131131131131131129128128130130131132133132134133130130130131129129128127128128124125126127128127127127125125124124123124125125123124124123126126125121119118120121119117119121121120119123123128124124122124129116117118122120121122122118117117120114121121117116120119120117113114119120116118117117118121122122121119117114117119117115112113114117114114113116120121118116116115113118118115114114112106114113114115113115118118116113115114112117109115116113111111110111112115109116116110110114113114110111109118113115115115114115107106121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170174178181182184184185184184185184185184183181181999999999999999999999999999999999999999999999999999999999999127124125103124123126127131130134135135137136136136136137138140142144146148149148150149149149151150147144142141141143141139139140139139138137137136136137133132132131131131129130130127126126125126127126125127127125120118119117116118119118115115118116115116113113111107104104106100103104107107102108 97 97101105106101 95102102103 99 98101114111112120121118121123124119124126129128129128128129131133129133137134133132134134132131130128128128130130132136136136137136133135138138135135135135135135134134133133135136133134133135134134135134134133134133133131130130130129131131132133132131132130129129129129130127128128127126126126127128125126127127125127126126126125124125125125124123123123123123122117117119121119121121121122123124120123125120121129122119130128123119121122123121120118119120119122119116115119120120119118119119121120119118120119115116116120119119115120119115115116114115116120115116116119118117118116113111116113114117113113112112110114107107109119115115114112111113114111114115110106109109107102111111111110109111113115114113111114114114114116116116118109115117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172175181184184184185183183183183185183182180174999999999999999999999999999999999999999999999999999999999999132134125115125123128128130130135135137137136137138136137138140142145148149148150150151150150151150149147145143141144142141140139138139138139138137137136134132133131130129129127128125126125124124121126124124125124119118121119117115118116113117114113114111106109110104105 99100102102103103102108107101 99 91 95 92 87 86999100 99 99103103102107113114114123124121121121126130128130131132130132132131132136134133131129130131133133132132126131132133137136136135135136136134136136133134134135135135135133133132133134135133136137134133132133132132132131130131130130132131132132132131134133134130130128127127126126126126125126125126126125127127126126127126126125124125124124126126124124123123124124123121120118118120120126124124118122124119119120121118126118122124125123123121122121119121119120121120120119115119120120118117116118118115117118115113112115115113109115116117113115114119119118117116118118118123121113117119115115113115115114115116118114113111117119122116117110114113111112112109113114113111111110105104113118117109110111111113113111113117112113113114115117110110116121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169172179181183184184184185185183182183182181179999999999999999999999999999999999999999999999999999999999999999136133129131127124129130131131133132134135136137139139140139141143147149150152149150151151151151151149148146143142142144144142139139139140139139137134132131128129129128128127127125126126124121121123124126126124121121116120120117117117117116115116114112107101 99107104100 98100102100 99 98 99100 97102 99 95 96 87 88999 94100 89 97102104 97111115116117122122120124126128128130129130130132135133133134135134132132130130131131132130132131132133137136136134134130132136138135136137137134134134134133133133132137137137136135135135132133129130131130131131131132133133133134135132133133132131128128128127127126127127125126128127127130129126125125124126126126124123126124126125125124125125118120125124123121121118119121125122120118115121120120119116118117118121123123124122122118118120123120118121121123119117113116118117122116116117118119118116115117118115114115114112115114115116114117117119121121120122124113115122117118119115115121127115116114117121116117117117116112115108113104109112118112112113110108107117118116114112112111111112116106112111112111112114115115113113113113120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167172174177180182184184184184183183182182180180180999999999999999999999999999999999999999999999999999999999999999999135136133126125129130133130127129132135135137139143141142143144146148150150150150150150150149150150148147146145144144145142141141141142142141138134131130125125125126125124125122120122122121122121123124122122122119123121120117116116116116114114111110104100 98100 96 97 96 98 99 96 99101 98 98100101 98 99103 98 98999 99 95 97103114112107111117113120123121131128128128128129129130132132131134133135135136137136134134130132131130128127131131129135135135136136135135137137136134134134135134133133134133133136136136136134136136136136136132132131132130131130130131131133133131131129130128128128129130130129127126127129130127127128128126123125125125126125124123126126121121122122123122122118120122122122120117119119120118121121116118119117118116118119123123121121122122122123123121121122120123119118117116117117116119115124118117122120116116118116117116117115113112115117114112113118117116117115119119119119121115119118116116119115117116114117117118117113119117118115112101 98104103113115110114109110111112105117113112110110112108112110112112113113113113113116113116114114114122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173167174173176178180182182182183183183183181181179180999999999999999999999999999999999169172172174173174176178999999999142134153143130128127131130126130133135135138141142141141142143147150149151151150150150149148148148144144147147146147146145142143143143143143141136134133132127127128125126124123122121123122120122122121122122123123123121116111112113112112110111112109108103102102102 96 94 95 94 92 95 95 94 94 96102102 99 99101 92 93 96 92106109107108108113115118127130131127126127129130130130131131132134135135136136136136134135136137137138137134138137136133133134132134133132136134135137137138138137134134134132131132135134135132133134134133134134131133133132134134132131134133133132129130129129128129129130130129129127127125130128131125123124124125124124123124124124123122125124122122122120121125122122123124122119123123123121117119120119119120119120116117119120122123120121121121120120124122124121121121118116114121123117117117120118121120121117118118118117118119120118117112119117115117116120121115119119122114114118123117119119119117115117117120118117114116112115115113113116116100116114116121128124127108112105107114108111112109109109111110113112114113113113112112117116116116115125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165171174178179180181183182183184183183183182182183999999999999999999999999999170170170168172173173174176178178180999999134137139133126125127127127131132135136138141141142144145145148150150151151149148149149148148148146147148146146145144144143144144144145144143141136140129129128130128126123121120121122121122122122123124122124125123119120117115114111111109107106108107107104104105103 98 94 94 92 96 95 91 89 93 97 96 98 98999102102 91 95102103108111114114120119122122126128127128128129128128129128131132133132135135135136136134136134132128128132131129132129129132133134130131135135137137137137137134133132131132131132132134133134134135132132131133134134131132131132132130131131131130130129129127128128128129128128128125124125126131132126125124121122124124124123124123122122122124123122122121120122120119121122120119122119119118121121121122117120117119120120125120125124121121121121119123119121123120121120121120114119121115116114119119116117118119122120120119120119118118115113112115119118115120116120116114115123117120119118114116115113117120117119118119119119119113116121119117116116119122124124127128126110115110113112109105114115117118110110110111110113112109110110110112114113115106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163165172174177179180181181182183184184183183182182177999999999999999999999999172170172173173174175175176175173175179178161139136140136126125127126127131130131134137139141142143144148148149150151150150148147147146146147147146146146145145145145145146146145146146147145142138134131126128125122124124123123124123121124124124127126125126124121118116114112110106103107106106108105101101103101101102 99 99 94 93 88 89 92100115106 95 98 94 96 86 98 98105104107117119122127124124128128128129128128127128128127128130130131131134134135135133131131131129127127132131133133131132134135132133131135136135135134134135135134134134132132129132132133134133132131130130132131132130131130130129129129129129127127128128128126127128127127127125126126126128126126127126125123123125126124123124122122122124124125121121119122122123120121117116118118119117122121120117121120121117120120121119123121122121122123120121121123115123124122118116122116117117115113116117119116118119120117120117119116119115111117116115114115116122117119115117115117118121119123120113114116116119118119122117121117118118121116117122109116118121115119118121117117108114109103111113122116110114107117111112114110111109110108112114112115114124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168173175176177179181181181182182183183183182182999999999999999999999999999999174174175175175175173174171172171173175173167151149133125124126127129130130133138138139141143145147147150149151149148147147146143143142143142146145145145143143143143144146149150149147146146142139134132124129128129127126125126125125124125124126127128126125123119114113109105106105100100101102105101100101 98 98100100 97 93 91 89 93 89 95110109107 98 89 85 87 91 98103109116117120121124127127127128128127127126124127126123124124127124128130130131132131129130130132131130133132131131129130131131131132136132131131130131134132133133132129128131130129130132131132132131131131132133134132131130128129129128128129127128126127126126125126126126126126125125128128124127126126126127126125124125125126125128126128124124122121122122124124124122122122123118120120120122117117116122120122119120123120120120122121121119120117117114117121124120119117116120117115116114119119117116119118117117122123122121124120115118113113117120117119119119115115117115121117115117122117118116118121114122119121122118115111110111115115118117118118117119121115113111111114127106112113119107110110113113114109114112113116116115109114113113117112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171173174174175176179180181182182183182183183183999999999999999999999999999999166173173174176176176173174173171169170172173168155999147128121124128130133133135138139139141144147148148150151151150149147146144144142143145145145147148146146145144145146148150151152150151148147143141139133129129130130130128128126128129126125126127128126126124119116112110106105 99 97100 98 97102103 99 95 98 97 97 99 99 97 92 87 76 80999 77 81 82 82 91 85 88 91 98100109115118120120120120121126126127125124124126125124123125124125131123124128133133128129127128131131130129130128130133128129129130131131131131135134134135132131132131129129129128131131130127127128130130131132130135134131130129129129128128127127126126125126127125126126126127124126128127127126126126126126125122124124125125125125126125126123122121122120122122119121122119120121121121120120120117123123124119119121121121121122116120119120122119120120117118123123116119118127115119118120118114120116121117116117122121121121118118118122116116114116115119118118116117118121116117114113114116118115112115117116119120115115116117119113109116116118119120117117119118111116116117120119116113109111117115114112114113113113113116118117114121118113113119113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172174172173175176179181182183183183183183183183999999999999999999999999999999171172173173179177176176174172170169170170169164158146145131127123127129131133137140142141142145149148148150151151152152150148148145144143146149147147147149148145143144146149151152153152151150150148146144142137131129131130128129128128129129126127127127124125123119115112110 98100102102 98 98 96 95 98 98 95 96 95 94 99 97 93 88 89 82 82 76 74 77 85 83 81 87 98 97 91 98112116117123122121120120121123123123123122121123122124127128129126126124126128127127125124125127128128131130127131127131129129126130128129128128129132134134131127129126126126128128126128126125125126129129129128130130129130128129129128129128127126126127126126127127126125125124125125126125126126126125126124123124123124126125125123123122123127124123122121121119120125123118119118120119123124120123120121120120120118119119121118119118119122119119123117117116118118126126125120112119120119118120118117118119120115118123119122120120115113113116116117120118121118121119118118121121120119120120118117119117116119117117111110110115116115119116116122115115116109110111113113113120109111112116113119108106110113111113111107113117112113110117114120115123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170173172172173174175179181183183185184184185184183999999999999999999999999999169170176174174176176175174174172169168169169168165159155123130127124126129131136140142143142144147150152150151150150153152152151149148147149149148149148148148145144141142145149152152153152152153151149147145144143133129126129129127128126125127127126126123126125124120114112104100104 94100 96 99 95 92 95 97 96 95 95 98 97 93 88 88 83 80 77 74 78 80 79 74 70 71 93 98 98105111115121122121121121121120121121121121120121123121118124123124124125124123126127125124123125126126128131132132135132129130130128127126127127129128130129128128126124126124128124126125125126124128127127127128129128127128129129125127127128127126124125127127126125127125125126123126129126125126125125125124123123122123123124125125124124125125125126123124125120119121124125119123119120123123124124124124125124121119119123121118120121121119120119124117115122117125124119116121121113115115119120117117119117120120121122120121121120121119117117115117118117118117118120116120117122118119123118118115116117118115119117116116114113114115114112116116114112113114112109109109122122117119111110118112104101108112115114113117106111112111112113116119120120116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168172172172173174178179181182183183183184184183183182999999999999999999999999167169173175176175174173171172171169167167166163159154149136138129127130132133136139141143146147149150151150149148148148150151151151151150150149149149149147146144144143145147148150151151152151151151147146147145143142135125127125125126125125126123123124126125125123118115109104101 98 99 99 92 94 94 91 95 94 97 99100 96 94 93 85 81 78 76 75 83 85 76 73 73 73 84 72 95 90 95107116123121120121119118118120121119119118117119120122122121121122121124126126126127129130128129130135134134131132132131132130131129128126127126126129127127127130126124122127126127125126124123127125124126125128126127126127126127127127129126126126131126127126126124123124125125126127122125126125126125127123122123126124123124123123121122123125120124124125125121123122122123124120119122124123124121121123123122120118120119119124122121119121122121120117116125121115116115117117114113113117119116118119120118122120121120117120117120118116116119117119115116115117120116116119119115114119119116119118116117116118116117112111119120115115117117116116114117121115114116119124122121119121118122115110108111110115115116118117115112115110119119121120121125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163169170170170174177180180181183185185184184184183180179999999999999999999168167171175175175174172172172171171167167166163159154152144134134134129130133134137141143144146148149150149147150151149150150151152152152152152151149149149148145145145146148150149152152152155151150148146146146142142144141131121122131126126124123123123124126125122119117114109102100 95 88 83 83 91 89 89 89 90 92 96 95 96 91 89 84 73 76 73 79 78 78 74 74 74 80 82 74 95 91 95104115121120120117124117118119119113116118119119120120120119120122122123125126126125124129129130131131131132130131132135133132131128125121128128128125129127129135132130131134127127128128127126127124129129127127124124126126125127129128129127126126127126129131130125125126125130126126127125124125126126127126126126131130123124121122124126123122122125126127127126126125125122123123126124125124120119123125125124122121122118118119119118117119120122122123118117117115122114113114115117119118115115115115117117120122119115117114113117115116120120116114114116116116117116116117116114118122118117119116118119117118116118114117117114113119119112113118111115112111111114117122119122119123120121120122119120113115114115116118115114118119119118118117116128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167167169171172174178179181182184185186186186185184183181181999999999999999999165170174174173173172172172171172171171168166161154151147139136126128123128134135139141142144145146145146146146150150152150152152152153153153153151150151151151149149150149149151153154154155153149145142137135138137142141140137126123122126124124125125126124123121120118113109106102 98 92 93 92 87 87 89 90 90 94 94 94 92 93 90 86 79 72 75 77 79 76 76 81 76 80 82 83 77 84 96101108115121117118117117123116118118120120121121120119119120120120123122124126127128124128129132133132131131132131131131131133133133129123123127128128125126130129130133139127132133132134128129126124126126130127127126125125126126127128129130128127127127131130128125129125125127128127126127125125124125123127125127126128125125125129125127125128122124125124124127127124126125122120123127128129128125125126120124122125123121121122121122120118119118117126124116115119118117116118117115116114115114115118116115115116121115119117115117122119113114115116115116119114116113115117120118117118116119118117112114117121119115115112113119117116119119115121118114112112114109113117121117116117119115117116117116117109111112111106105116111119117118118118118119128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168170172171171171174178180183185185185186186186186186185184183183179999999999999162168173174173173172172170169170170170170168164159153149146143137137140134132135138138142143144146147147146149147149150155155155153153153153152152151151152152154155155155153153154154155157154149142134132127125131135139141141139134131127127126129127127122123121119118116111106105101 98 93 94 91 89 92 93 93 95 96 95 92 75 87 89 85 79 71 74 75 75 77 79 80 78 91 85 83 88 92 96107108119119118117116116116117119119119119121122119120121121119120121124125128127127125125125127129130129135130131131130134131130130129129127127126126125125132134136132129128128131137135132127125126125128129127126126124126125128128128127128127130130130129130125125125128128125125126126125128129126123123127124124125125125124125128126125124125125125126123122122122121119124124121120121121121120121122122121121122121122121125122122123122120121119115119120117118118123118120122116116119115114115117117115114114119118117116117118118116115118118119114115116114114116116115115118118118117118117116118116114118117118115121121112118113116112123120109114114113115115110111117113115117117116114116116115118108105109108114111112110114115119120119123122122116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170170173174174175174174178181182184185185185186186185186186185184185185183999999999999166174175174173172173173172171172170168167166163159155153151151148153144142137136139139142144144146147148149150151152153152150156155154153153152152152153154154155155154154154154155156156155149139131129130122124132136137137137137137133131127126121125126123120117113112108109109104100 96 91 90 94 96 93 92 92 92 91 88 88 76 82 86 82 77 77 75 75 76 75 79 77 76 84 87 86 90 96102112115121120117116115116117118120119120121123121120121122122123129126127128129129128124124129128134131130128131130130129132132131130138135130128128128127126132134129129134131133130127126129130133133136131130132132126125126127127129129127127125128129129126130128129126129128128129130129129129128127124125124125125124124123124124123125123124123123125123123124123125124125125119125120122123123123125124124124123123123125126121122122121118118117118117118118118119121118120120117117122119117121116119118115117121120115117117119117116117115115117114115115115114113115120116117115121118116117120117117115116120119117115115115113115115115111112107122115112115116115116113113112117117111114117114116118122110111114117116114112112114117119120125125125122121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169170171174176176178178176184183184185186185186186186186186185184184184184184999999999999168175176175174174173174174173173170167166166164162159157156154150144154140141140142145145145144145148149150151153153155155155154154154153153153154155156157157157157156155156156155157157151142135133129127123131133133136139138137135129125122122122124124120118113109106107109106100 97 91 87 87 89 95 82 78 82 88 91 89 82 86 81 83 77 78 77 76 77 74 75 77 86 95 90 91 95 91102110114117119120118116115115117120122121121121122121122127124124124125127128130129128128128128128130130132131129129130131130127129130130138131130129129128122132132133128129129131127125128125142141138125125135136130127127126124127128130131127127126126126128127131128128127129131132131126129129129130130129123125125127125126123125124124124123123123126126125125126125127124123127128131129127125124129124128126124122123124123122124125124124121116119119120121119120119119121118119120120114119118116115118122118118120114120116116119119117117116116116114114118115113116119115119118117117117116115121118118121120116121118116113114113116112110117115119120119115113116118115115112119120117114113120119114115112111118117112104116110117119109115116118120115117114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169169170174178179181181181181184184184184185185185185185185185185184182182184184999999999999168174175174173173173173173173172170168165164165163161158156153149153145144143142143147146147148149151151152152152153153154155154154155154153153153154154155157156157157157158159158158155148132124135132125124127129134138138140137129127125121120122122116113112106104106108108100 96 94 90 89 95 94 88 88 82 79 81 87 87 80 81 80 89 87 88 83 85 88 85 89 83 92 87100 97102 98104116111120120118118118116117122120121122122121122122122122123123124125126130131129130131130131131134133132133129131133130130128129130135135132131126128133134130132130137127127130132132133124133131136128130129131130134129126123128127127128127132134128130135128129128130129126127128128129128127127127128128127126125126127124124125124124125125124123125124125128126126126125123125124129129126124126127126129126127123124124123123124124124124122120119120123120120120119119117124122122119119121121122117116117119119115115114117115119120118118117116116115116114117116116116117116117116117117119117117118116117118118119119116119117118117115117122122118119121121119118121120121123108107112117116109123110113109107114119121111112115118113115118120121122121124117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172169171171171177179180181183183183184184184184186185184185186186185184183182184185999999999999999173175173175174174173172172173172170167165165163162160159157156153152151150149148149151150150151152154156156157156156156155154155155155155154154155155155156158156157157158159159157157152144132133132127126129131133135137137135129126131122124118115116113108112110113110112110 99103 95 95 92 88 80 77 83 83 82 80 80 80 78 81 87 86 89 96 78 89 87 91 90 93 94 96100101110106111115119120119118118118117118118121121122121121122121122122122123125123123128131129131132130130131131133134132133135132129132131131131133138133137130136134135130129138132132129129130133134130131126129129129128129130125130131127130130126127129128126129127127131129131127126130128129128130130129130130128128127125125129129127123125128130128126126124126126127127127125124125124126127131131129126127128130130127124125124126126124123125125127120121123123121123121120121120120121120119119121124121124116118119117119118117115115119119117122117118118116116116115115117117114114117116117117119120120119119118119118118117115115117118122119114119116117122121121120113120123121121123114110111112113111120119115115115113117117110114116114114124120119125122121122121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172172174172173178180181182183183185185185186186186184184186187187186185185184186181999999999999999174174174174175173172173172171170168167165164163161160160160160160159158155155154153153152153155156158161161162161160161160159160158157157157157158158158158159161158157156157157156154149142131129131133134136139138139137134132125128128130125125120112117112117119116115115107103 98 89 87 78 78 77 78 78 70 79 85 79 84 83 80 85 85 90 91 86 87 86 87 90 93 92 94 98104111115114116118120119118118119124119122125122122122121123122121121123123124123124127130131132130135131131130127131131133137135129130133133134133136134139138139137133128129131125127124130131132130132129129130130127125125128131130131134134129123126126123125127127126133135128132128136129129132132131130135132133134132131130128132133128126129130132130130125132133130129129126126131124128131135135134130130130131134129125124125125124123123124123123126124124121119121124125124125122120125122123124120122122122118121118118117114119119117118118117118118118117116116118117116117116117117116116114118119120121120119120118119116119115117122123122114115121123119119121120118122122119113109110117113114115117115128115133116113112112116115111122120122125124118118126122129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169176176174172175180180183185184186185185186187187187187185187189190188188187187187999999999999999999171172172173174173173170170170169167165165164163163162162163163162162161159158158158158156156157158161162161161161161162162162161160159159160160160160160159158157154154153153153151147145139132132135137138138140138136136133131128124124121120119123125126126126122120119117106100 87 85 79 78 77 76 78 76 80 84 79 85 86 85 86 90 91 92 95 94 91 91 89 95 98101104108110115119120119121124119118119120121120121120122122122123123124122122124125125125125127128130131131134130131131130132133134137140138134134133132133136135138133139137134133135125128126132130131134134133133128129128129126125129138138129138139127142133127123124127127135135137129128128129131131132133130131131132133134135134134131134130128134129136133130130126133132129127128129131130131131128132133131129133129131129129129129125128123121123122122124122123124123124123124126126126129124128123126127128124124121122119117117117114115118120118117118117118116116120118116118119118118117119119117116119120118119122120119121115117118121123119123120120119122116117112115120118119125127126111114119115114122123128116115117116119116115117114111121120124119120124125119126123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175173172173174173176182183185186188188189187188189189189188187189190191191191190189185999999999999999999999169169171173172171169169169168167167166165164164165164164164164163162161160160160159159159161161162161162162164161160160158159159158160159159159158157155154151150149147145143146144141134133135137139138138137135137135136134132130128126127127128129129129130125119122117105 98 86 85 81 80 80 78 74 76 82 89 80 83 91 96 96 97 98101100102 99 99 99 99104107110114114118118120121123122121122129122123123122122123122122123123124123125125126126125127129128128126126132132133132133139139137137136134138134134133133133135139138138136136137138135130131134132133133134135136135129132133129135130131131138138138123123129129128128130127125129129130129129132133132138135137133139135134135133134133132133133134136131133127129127131127128128127129130131132131129130129128131132130129124125123125127126125123121123122122119121121122125123126121122125124126124132124125125126124123123123119119118119115117118114115117117115117115117119118119121118122120121119119118117118122118119118120121120118120121123123121124120124124124118120118114115119117123124114115113114115114116117118130115116118115117118118119121120116117119115118118119124128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172174179176174177185185186188190189191191190190190190189190191191192192192193191190999999999999999999999999168167171172170169169169169168166167166166165165164164164165163164163162162160161162162162163162162162163163162159158156155155155156157156156155152147146145141141144141139139139135132133136137138138139138139139137138138138135134132131133132129130130129124122121119110105 96 85 83 83 81 79 77 70 75 78 82 90 95 94 94 95102 98 97 99 99102105106109114114116117119119121122123123122122125125125124125125125126125125125125124127127127127129129131130134133130131134134134137138134137136137139139138136135135137137138135136138139137140140135134135133133130132134134132136138136138130131133129130128128125129127126126128128128125132128130129139130139134136138130132137137131134134134134134134139132132131129128128126128130131131131133133130129133129134129128131126128124123128122121128128126126127123120121118122120120124124123128122123125127122124126123122129122125122121120122122121122118117118118118117117117119119121115117118119122117120122120121121122122120122118116115112118116118123125122124124123124117120118120115118119121123118122114112117115115118114114131121123118112117121116122123123117115117122119119122118119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172174174175178180177179185186187187189189190192191191190191191192193193193193194194192192999999999999999999999999999168166170171170168169169168168167166166166165165164165164166167165165164162163164164163163163162162164164161157155154152151153154155155154151146142137135130128133131135130131133131132136138137137137137137137136138139140139137134136136133130130129130129122120117113105103 92 87 93 94 91999 95 92 89 87 90 93 96 97 96102105102106104106111111112115116119119118121123124124125125125126126125124124124125126127125125125126128128127128130133132132133135130127131131133136138136137138140139142141137137138138137139141138137140142141139139138134137136135131132133142139141142138139142132132132130131128129126124127122126125124126125128128130130141140139141132131134133135134134136134134134133134135132131131129128135135136129127132134133133134134134130132124128122124127126122127125124120121129123125125122121126124121122127120124124123127127125123125123125124124123123121125120119123119119121121121117117118118118119122118117121120121122124125122124123123120118118117118118116122117122124126121125122123116119125113120119125122125122121116116117115116116119121129132129123123122114119119120124119119118122119118123117124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172175176178181184180182187188188188189190192192191192193193193193193193194194194193193192999999999999999999999999999999167170170168166166166168167167167167165165166165165165166167167166165165165165164164165164164164165163161159155155153153153155154154152147141138137136133129128131125124126127131133134135136135134134133133131131133133136136136134132130133132130129128124118112109107101100 92 98 98 90 96 99 96 90 95 97 96 99 99 99100109109112109108106107111117117119120122123124124125126126124125124124123124123124124125125125127127130130129131134133133134137140133130128131132133136135133136138140141137139137137138138138139140140139138143142142142140134137150138137138139138139135134140152131133131137139129129136133127126126128132128128129125126129135136136140139132134133134133134134134134133135135137139135133131134131138139134134136131135133134130129128126125128125127127123126124124122125125126122121122123123123124123124123124125127126126128126125126122124124125124120120124122122124123123122120119119121119120119118120120123122121123124123124123122122119123116119119118119119118124124124123121123124120120123121123122123123122123118119120117117120116118120120120120117120124119114120120124124116119119118115120121117123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175174175178182185187184185189189190190191192192192193194194193194194194195195194194193192192191999999999999999999999999999999167168167166166167167166167168168167165165164164164165166167168168168167166166165166165165164166165164158156153154155155156155153149144143144141138140136130130128127126129132133133133134135133131128124122120122120124126130131133132131131131131123117106111100100104 99 96101101 95102 95 93 91 96100102107104106110112112108109108113112114116119120121121122122123123124124125124125124123121122123124126128129129130133135135132134134136134133138139136136138136134136137135136136136137137138138139139139140140140140140140139139139139139139145150151153143139140144147134139132136139132140139130133135135134134132129130131129141130129131132138142146141132134133133134133135135137134136135137135134134132132135137137134127129131133130129131127126127126125124124121119121121124123120124125121120120118123125122121124122124125129126123124125125126126125125122123125123127125124122123120122123123123122121120127124129122123122122123122126126125124123119120118117119119120120120122122120121122122120122123122124126126122123124124123124125114115116118117117117118119117114122118132121121117114116119121118118117117124127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177177177176174176182185186188187187191193195195195196194194194194194195194195195196196195194193192190186999999999999999999999999999999164167166165164164164163167169168166164164164165166166166167167167166167166166165164166166165166166163159156155156156156156154152147142144144149149146147139130132130128129131131132131130129124121120126126120119118117122121124126127128128130126123116118100102 99 98102 98999 94 95100 98108 94 99 94 99104106108108111108111104103106109111114116120120120120121123123124124124123124123124123122125128127129130132136134134133133139138137137135137137138139139139137138140139136135136136136134139142143138136140142141140141140142141141139144143147149147141137144147150143140144149151133139130127130134135136134132138131132131138129137137132132138137138137147145130134135137138135135135136134139135132135132133131133133132131131127128127128127123124129127125124124121121124125124126124119119119121118125121123123123122125123124124125127125125130125125128126123125123123128124123122122123124122124125120120121120122122123122122125124126126124122123121120120118119120119120122123123122122126125126127126123126124128126126132127126126126117121124115113120118116117119119122119114115114115117120118118116117115116124118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173177177176177177180181184186189187192194196197198197196197196196195196196196196197197196195193192192191999999999999999999999999999999999162163164164162163161162167169167166165164165166166167167166167165165166166166165165165166166166165164163160158158157156155153149144139141142143146151150147138129128129130130129128126126120120122123120118114116116114115115118119122124127129128124113105 94 98 98 93105999109 95 93 97100102101 99 98101106106108106106109108108102100106109114117117119119119120123126127125123122123123124127125127129130131132135140134133132134138137137136135136134136137138138141143132137136139141137134137139140138135139140141142141142144144144141140143143141141140142140141134155149154143142142135133130133138135134138132129135135135134135133136134136139139139139137141139140142136140140140137142139134135134136129130134133130131130131131129130128127127125123126125126125126122120126125126123126116121121121118120121121123122123123123126123127128130130130127124125128127128127123124124123123126126125124121123123124128121122123121122123122124122125123123124122120118119120121122121121120121122121123126125127127122127121122124124124124125124126128126127117126123122120121120119121121117115116114116118114115123120118119120125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177178178178179182182183186188190189190195196197199198198198197197197197197197197197197196195193192191190999999999999999999999999999999999999160162163162162159163169170169167167167166166166166167165165165165165166166166165166165165165164164163163161160159156154151147148148147145147150154153152147139127127130129125122124121117122127126115113115116112113113111113117120122124126126122107104 97107106103108100105 93 92 97 99 99102104102106106102 99100107110112107102100105106111114117119120121122125127127125124123124126127130131132133131132135136135135136134136134131134137137136135135138139142142142139141137136141136138143141142136137139143141144146148148145144143144143141142145145142145146142149139138139143144143137134134130130133135135132135136135137134132135136136141140140142142142143137141142144144136144136140142135137136131130133134131130132132129129128133132128131123145131123129133124130126121124123123119125125122126120125124121121122125123126123125126125129126129125124126123126128124126125123124125126126123124124125123122122124125126127128125126125124120121123121122120121125123124123121120120119124124125124128125127128129125129126125126127123127127125122123127125124124123122121120119131131114118118120116118119119122127123115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180174175177178183183185186188188190188189194197198199198198199198198199197197198197196197196195194196194999999999999999999999999999999999999999169999999161163160165169170169168167167167167167167167166166165164165166164162160160159159158159160162163164162160157154152150150151153152152154156156154153149143131129124122120122120120126132129119117115116115107110111114114117116121124125117107109 99106113104110100 94 96 92 94100105103104101105105105102105106113112109104106121112113116117117119122122125125126125125127128131132132134134134134134136135136137136136136134133136134134137137135137139141139139140140139136140141139143144142140137143146144145146144143143144144141142143144145144146144146148146147143147140141141141138137135133141134135135135136135136134132135139140142143145146142142139138139143144139142141139137143136135139133131132127127129130132126124125128131129128129125128126127128128126120128123126126124125124123123121120119121124125125125125124124125125126126127127127127126129126125126126126125121123124126125125125128125134130125126129128127128128128126121122121123123122125123123123121121120120121125124124125129129130130127127126124124126127127126124125125126130128121120119121121120122119117119118116117116121119121120121119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174174176182182186187188187188189190186188194196199201200199198197201199199199198199198197196196195193191999999999999999999180183182999999999999999999999157161161165169169169169169168168167166166168167167167166164163161162162159158157157157156157158160162162162158155155156154156156156157158156155155151148145138131129128126124125128134130118114109116117110110112111111112114119123121120111103103105101110 97 98103105 99108106108108108107107105106109110111111109109106110115113116117118119123121124126126126127129131132133133134136136136135135136137137137136137136137136135135139137136138138139141140137137133132141139141138146143143142146144145145146143145145145146148146146145145146147146147148149147145145150141141143140139140136136135135131136133131133134133137139140141139144145145147146143142141140137144140138139138142139134134128128127128131127129135134126126130130130128129128128128128125129127125128122125127126132123123125124123120123121124126130123127125124124125124126125126127127126123127127127127124125125125125126125128128128132128126127129125127129127126126126126123123124122121121121121122117118121123123123122123125126125126124125122121126125129129125123125127125125124122121119119126119123122122118119120118117116117112115118121 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178175177178181186188188188187188189191187188195197198203202201201202204203204203204205204200198197197195999999999999999999178178180180179178178178178999999157160159164169169168168169169169168167167167168166166163162163162161161160158157159160160159158157158160162162160158158157157157156156157155152150151151149148144143142139137135133136134131114115113110110110110109116110118113117112113117112111103 94100102104105101103104110114112108109110108110111114114113112109113113111116119120121122124125125125127127129132133133133134136137136136136137137138138137138137138138136138141140139139141141140141141143140141138139140143144144146145147143145147147147145146147146147149149147144144147147152145144145146145145143143144149150145141138134139138137136132138138134134136141142137143145142145149145143143146142141140138139139137138135135133129129128129132135129129130132129128129130130128126125125125127130126127127123125126131130128126127123125126121122122122123126124125123128128127127125124126126127127127126125125125126126123125126127125125128128128123127128128127128131130126125125125125125123124120119122126128119120120121120120123125127128126126126124129131126132130128128127127126125124123124123122122122121122124120121120122123120117118121122118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180176177179179182186187188188188188191191188189194198200201202202204205210210211207208208208206203199198195999999999999999999178179179179179178178178177999999999160160163166169168168168170170169167166168167164162161163165163162162160158158160159158158158158158156159161162160158158158157157158158156151146146149150151150148148146144141145120124137126112112110111109110109117105102105112113118115108105 99 94102108104 99106106110110113113114112112114109108114118117114114115115119122123123124125126125126127128130131132134133136135135137136136136136136137138136138138138137138139142141141141140141141140141139140141141143141142145145142147147145148147145146146147152152150147147148146149150149151151149154147147147143144145148147149142142143142138135134135134136134133136135143140138139141144145145145143149142148145140137136137136135136130130130129128129122122125126127125127126125127128128125127124129129125129126127125131131128129123120124123123123119120121124124125124123128125126125126123124128126128128127125126126126128125127128125126128129131130129124125123126128126129129125126126126127126124123121123127123118119117116118121122125124127125127134128126127128130132129129131129129125125126129123122128127130131126121123123127123124125126124123127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176178177177178179184187187188189189191191191189190194199200202203204209209208208209207209208207205204201199196193999999999999176178178179178178177178178177179999999157162161165167168170170169169169168168168166161162164165164163162162160157158158155152150150154155156155158161162160160158159160159160155151148147147148150149147145145147147149139136133135124112111108104107102 98 88102102111112112111103105100104110115114114113113112109109111110111116115112112114117115115116116118122125126126126125126126128128129131132133135136135135136137136137136135137138136137137137138139140140141141144144143142140142142141140142138140143144143147146147150147148150147148150147150149150153148149149158152153154151154151150146149146142146144147148145142143143139143139139139137135134135143144146146148146144146148144147146142141140145140141134132132135129128132130132130127127129126129126125127125119126131130125130131121128132131131132127133128121127125125125123121125123122124128128125124125125127127126126125127128130129129128128127127128128129128128128130128129129130129128135127129122129127127130130129125124121124121123126123120120119120121121123126127129130132134133135130132132130136134133129131132128130130128126131132130127124121122124125124125124125124126127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178176175175176179184186187188190191192192192190191197199202202206206208208207207209206206207206206204202199196193999999999999177172173176178178178178178177177999158161160163166169170170170168168169168167166164162163163163163162162163159157159157153150147145148152153154154159160162163160160161160159160157152146140141141140138135136139143148130140137127126117116103106103 97 89 97103106112115113105109120107107108118118120119119115119116118118117116115113116113113115115115116122125126126126127127127128128131133133133134135136135135136136136137138138139139138138137139139141141142142143145145145143141141144142138142143141144143139139145147145148146147148150150150149151150149149149150151153156154156155156156150158155152156154154150141140145145143146142142141140138140144145145147148143144148151149148153142144137136138136135131132130130130130128132132132130132130128127126126127129128130131129127127125121130131130134127124129122124123121124124123121124122125126124125126124126126127127125125127127129131131129129131132129129130130128130129129129132130130128132132132127127128128129129131125125124122125126123123121120119121119121121125126127131134132132134136134133135134134133133131135129130129130131128129132131129123123126122127126125125127127126129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175176175171174175178184188187188190191191192193191192197199201206207206209208207205204204205203204204204201198195192999999999999173171174176177177178178179178178167160158161163168170170169168167167166166165165164163163163162162162162162157157158156154149144140143148151153153160161163163162160160159160159158153142138138138138135132128128135142137128123113119113114999999999111106 98106110110111106108112116118120123126130131131130126121118121126122123121118115114113115112115117123126127127126126129129131132132133134135136135136136136136136137137138139139140140140139140141142143143143145146148146147144146143147146147147146141142143144148150149152151149150151151150151151150148150153154157158155156156154160158155158154158158156157154154148147143146147146142140143144144148147150145146149145149148149149147143132135136137137136136135132133130129128128130132132130129127128128129129127129130131129131132129130125130131127125124126123130128124123123122127136124120124125125127126127126125125125123124129128126129132131130131135134136131134130129130128128130134131132131133130127132129128127129127126123125125125124121120122121121119121122126127127131132134135138135137135134133132133130131130131131129130130132133133125131133130129126126124125126125127126129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174171172173174174176182183187188189191192192191193193192198201206208207206210207206202203205203203204203201199198194191999999999173170172176178179179179179179178178170161159160164168170169168168168168166165165165164163164163163163162162161158157158156153152145140144146150154155159161163163162161160159160158157148139140142142138134130127126138138124119108109103999999999103107115105114107113109115113113120121124126129134138137132125119113110115110115106115122123118117116117114120125128130130130130131133133133134135136137138137137138138138138139139140139139140142142140143143145145144145145147148147147147148148147148147147143143142144145149146148148150150149149149150150151153150154155159155159157157157159162161163161161162159155157158158150148149147148149150147147147147148150147143144143146146147147152145142138138137137136137137138134132134133134130129130127130128128129129130132131129129129130128129131126126128128129127127126124132127125127131128125124121128122124126124126126130126125127125129131127128137132131137135133138133134132130130127128128132132133130133133129125124126126128125127129127126126126123123125125119118124125123125126128127133137134133137136131132135137138132133132136132127130129132133133132133133133128126130128128126125128129128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173172174176177177178181184187188188189192192193194194192193200203205207206208210209204203204203202202202201200199198195192188999170170169173178180180180180179179177174170162161163163169169170169168170171169168167166164164164163163162162162160157156157157155153146145146149151155155159163165164163161159159158157156152142143143141134131124131134137135129118113121999999999100106112104103109106112108111111118121124130131133142142137130126119117124117112111115116111124120116117115112121125127130132132133133134135135136138138139139138139142141140139140139140140141141143144144145146148147147146146147148146147147148146148148147144143144144147149152152150150153149148149150151150153156156158160160155158159158161161161161161161162162164163161159159157155151148153150151150150148147148149146145144143145145148152149148145142137138135136138137139133133135133133130128129127129130130129131130132131130131129130131130134131131128126127127126125130132127126128130128128129127126125124125122125127128127128128130129129129133136135130135133136136131134134136134135133135130130130129136131130128125129126126125128127126125127123124124124126123122124124126127126128131129137134140137134131136135132133135133130135130137131131132132130128132131126128133131130126129129126130129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171174175176177178180183184185187188190191193193192194194193196200201202204207208211210206205204202201201201200199199198197194191180169164167174177178179179180178177172168164164163164161164169170169169168168170169170170168168165165164164163161159158156158158157154151150151149152154156160163163162161160158159158157156149145146142135127121120127133132134128123999999999999122119114102 96103108109111112113118120122126139135140148146138132129122122120120113115120116117116125121119119118122125130133134135136138136137139139138140141142142143142142140141141139140141142142144146147148148149148146146145145145147147146147146146147146146147147147149151151150152151154154150150151153153153157156159159157156160161162161161161162161159161159160161164162159156156155152152153150150150149147147145144147148149148148147151148147145142140138136137136136135134132133132132133132127126128128129128131130129129130133132132131131134129127129127131125124132132126129130132129128129131132127126125126128123122126126125125127132129133134135134129130131134135134134133135136136133135131130130136137129127126130127127126128129130130127131129131124123124124127127125126128129129130134135134138137133132135133130135136135134133134133132130133130128127127123124128131131129128128128124124128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179174175176178182185184187187188188189191192193193193194195193195198200202205207210211210208206205204202202201200201200197195195195192186184171172176178179179178177174170165163164164165163165168169169169169170170171169169169169167166164163162161159158156157157157155153152152152154156159161163162162162163162161158153153149150151148140124121123125125123124119999999999119118129122125102101102112116120120123126130131134145144147153152148139137130136127126117123124120123114125122121120121125130133133136137138139139140140140139140142142143144144143142144137139143144146145148150149149148149150147148147146144148148148149147147147148148148146151149152151150151149150150152151154155156156157157159159159160161162164163161160160158160158159164164163162162158157153153155154152153152152149149148146149148148147150149149149147146144141140141139137135134133134133134130131133130127128131128127127127128129132133128132133131132131129125126127126124121127122128133126128131129129126127126130123120128128127123122124127131130133134133129132134136131144136134137138136135140141130134130128129129133131127132129130130128130132133129129129124126126123124122126128128133130129134130137140136134132130133131131132135134131134139130128128132129128126127129130132130129130130135128129133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171175176178180184187187186187188189190191192193193194195196196194196199202206209210211211211210206205204202201200201201200197195196195195192190187170171176178179177177176175172170168164164164166167167169170170170170169169169167166167164162161160160158158156156157158158156157156158159160162162163162162163163161159160157154152152153150146132124118116128122131999999133129126133129130117101104110116122126128130133138145153154155155155156152141141135129134134132133134123130120127125122122124126133135136138141142140142144144143142142141142142142143144144144142144146147150151149149151151149152151149147149147147144149146149146149150150150150151152152154151152153155152151152151153156156156156157162161162166165166162163163163160160163163160160163162161161159157159158154152151153152153152151151151152150150148150151152149149147147141140138137136136136136135134132131136134131132130131128130130132129130129128130131130128131129132132123125126127123124129129130129126129129127127128128127123125125124120121125124125126127131132131138132132131133134135136139136137138134130126126127131129130136139131133131130131132131129131131128127128131130125127125126130135137136132136136138140138138134138132135129134131132134134131127130128127129128131131132132133135134136136139138130133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169171176177178179184186188188188188189190190191192193194195196196197195197202206210211209208209209209208205203202200200199199202204204201197197193191190181173171175178178176175174173172169164165165166165166166170170170169169168168166165163161160160160161160159156158157158157158158159160159162163165164162163162158156156159158159156154152152999146135119109138116113116110116130107 94 97 95100109105109117117127130135139143148153154155156157159153148146143135135135131134133133127124127126123124125130135137135138139143142145146145145145145145145144143143145145146145147148148152151151152152153151152150150148149150148147145144144149151151151151151152155156153154151152152153154154154156157156157158159161162165166165163161161160161160160159160159160158158163159160162161160159156152155153155155154153153153152150154153152154147147148148143143140138138141142140141136135129129135135130130130132134134129131134129131132131132134131132131130130130125125124127126126130126126126126130134126127126125126126124120126124125127129127127131132135131134132132136135138137144135140135135133129130129136133133134127129128126136133134134136134133128126131131129129132136135127132138143139135134141142144143142135136134133132131131136135133129129127129130129135139132137137135137145139138135150 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174171174177177179181185185188187188189190190192193192192193196195196198199200204206212211208207205204207207204203201198199200201202202202198999195195191189183169170175176176174173172172172171167165165166168168169170169169169169169168167163160160160160160161160158157156157158159158160160161162163165165164164163158154154154153155155157154999999999999139130117113111115107103116114100 99 92101107109114114122127132139145146147149150153159161162158156154149147143137136134129129131122127125125124123126132137137137140141142144144148149148147147148148148144144144147148148148149150150152153153154152153153153150149149150149147149149150151150152154155150157154157156154154154153155155156154155156157157160161164163166164162162162163160157159159159158157159158159159159160162162161161160158150155155157151154153153153150155155154155147147148148143145146139141143144141138136134133138138133130131132136134131128133132130131134134134133132132133133130130130130124128129129126128124125128128129130131126127129126122126127127127129128128132132133131133133133133134137145143139139140135136134134131130133134133133134134135137132132133134132135132127129131132129133133132130130132144144138135135142141142140139136136136138136131135135132138133130131129131134135134137135138136136140142141139147 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183176172175174178179181184185188187189189190191192192192193194196194196198198201204206213213210209207204203205205203999197199199203207205999999999999999190190188183170171173172170170171171170170169167168168170169170170168169168168167167165164161159159160162163162161158156156158159159160162163163163164163161161160155153155999149152155156152999999999129133124109109117107104 98 98 94106100 98110110116117122132143147153151150150148150158158160159157155154151151149148143139135135137125127127126126125129134138137139139141143145147150152151150149151151151149149147148148147148149149149152155154153153153155154152151153153151153148154154150152155158157156156153155153155154153154153154156154155158157161164163161161162160161162164160159159158158156157158157158159159157157161160162162160160152157158158156154154154156152153154151154146147148149148148144143147145142144144143142138145140131134134131129130129131131135136136133133136136137135134137134135132132127126129129127131127128130127131131130129128128125125126130132132128126126130132133129137133133133134137138139143137138142138138137138135133133136138135135132133135136137139132132139131133132132136136140139136135142139139135135138142140147146141139142138146132132137133138138133133130142140136138138137135142142142145138140142145 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173178178176179176173177181184185186188188188187189191192192192192193194194196198196200206210214215212213214210207206205201199198999200206207999999999999999999999189190187181165168169169169170168167167169169169168170170170169168168168168168166165166164160159159161164162160158157157158160161162161161162162163161160158156154152153999999999999999999127129131128124113109108100108 97104 99 96107108107110113117128137144140144158153152151154160161161160158152151154154154152150150148145143138137127126124123125128132136135135137141144145146148150152151151151151151151150149150149148148149151153154156154154153154156154152155153155154158154154155156157158156155152156155158158155152153153157153153154159158156158160163164164164161162160162165159157160157155157159158159158157158156157159160160155159154156158157157155152154155153153152152151147148150151149148149147146144142145146143140143141141139137132133135132133133134138136141139134135136136137136135134133134132133129129130132134124131134131132130134132129130129131127129130130130130131134130131129130133134134137137137141147142138146145137138135135138136136135134131130133142144137140136140140137134132133140139142141141141142137136138149146144143144145145141140142136140141135140141141139137148148144141141138134130141135144139144147147146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171171176178179179177177181182182184184186187189188188190191192192193193193193193196196201206208214216217218216216215214208204202203999204207208999999999999999999999999189188184177165163165166167165164166167169169168168170169169169169169168168167167167165162160158159161160159160161159158159160160161160158159158156154154154154999999999999999126126123126128129125122118116107103 99 97103 95108111114111113117124133138145151159161160159159162161161164164164160158158158156155153149151152149144137131132130128124131134136136138135136141144144147148151153153151151151151151150152152151151151152153154156155155155154156156155154156156156157157158157156157156158158162159157157161159155156158158154155155156156156154156157159163164162159161161160161159159157161157157157162158158156158159159160158156157153153152152153151149153152151154152151150151151151152151146145148152149146146146149145146142141141140139139135136137135138138140139139137137135137137136134136135133136136135135135136137136133133136136134133132130131129128128133135133134133133135133131133133133135133136141137142144141145146145140143141142140140139139135139134137137138139141137140140128137134135137137145150146158157156151151147146153155153151148149146144143144152138143138137144145143142142142145143133134139138145143149147147149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176172175178179179178175179182183183184186186186186187188189190191190191192192191193195193197204206213217218218217218218215211209206202203204205208204999999999999999999999999192187184173161161163164164163163164167167167166169169168168169170168168168166166166164159155157159159159161165165164160159159159158157155156156154150999999999999999999127123123125125128127126125120113104 99 97 98120 96110119113118115125130131136143152156157157157158157158160163163164162156159160157153155152152153151151147140136131130131131134132136138138137140141143144145147152153153152152151152152153154154153154155156155156158153156155156157157156154157155158158155157158155156159159162165163159161161160157156157156156158158157156156160158161162165162158158161158156157155155154158159158162155159160158160161158159161159154155157157153151153153155153154155153147152152151151151150150151150151147149148147143144147148146147142141138143140143140142143139142142140140136134135137136135135134135135135137135137137137136138136138132131138130132132131138138134133134137135135135140136138135138142146141143144147148151145143149143147147145140140139142142140144139139143141142145142143160147150146148148147146150149151160142144152152147152153151152147146147146142140139146140139138137135136133138144141142141147146148147143156 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170170172179181181180179178178185184183186187187188186186187188188190190191190191192191194196197204207213215216212214216217217217215212207206205205206209999999999999999999999999999188189185175158161161164164162165165165165166166169168169170169169169168167168167164158157153155159166166171173173167162158158155150150155158158153999999136999136135136132129129130130132132126117107108102103105125108111113117116122121124132138146149153156156156155155157158161163163163162161160157154155153153152151151150151146139135135135133133135138138137138138139143143145150152151152154153153153154154155155156158158159158156156155155158155155155155157161161161160160155155159158161165166165160161160160163163158162161159158157154156159161163168165162162158157157159157156157156156156160158156156158153157159159157159160156156155157154153153157155151152156153150151148150150143144152150151147146150153153153148149147147146145141141144145146144144142141143143142141137135136138135139139139138136139141142143141139142140137135134140141141137139135134135135138134135143143139141145147140143142146143144142149150147147151150148149149144142146143138140146145142143142143144145148158161157158150155162149149151151156154147149148153150144151149149147148147141140141140143139141137138140140138138139142144140141144142143143151 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172173174174178181180180180180182180185186187188190191190189187188188190191192191191191192194193196203208212212213212213215214215217219217214209206205206208212999999999999999999999999999187187184173160161161162163166165165161162162164165167168169169169169167167166162158152154159166171175176175176175169163161160154149148151999999999145138139142141137136133129132134135130122117128124130113105125104107108119122124129129143151154156156157156157158159160159158161162162161162159155155155155152151147148149150150148143137135134131132133134137138138139142143144148151152152154154154153155156156157158159159158157157157158159155156156154154159162162161160160162161162161163166164165164159163162164164164163162162163156159157159161160160164165165164163162163161158160158157157161160155156154154156158157157157152158157157158159154154155152153153155157153151148149149148148149149151150152154155156155154152152150146147148145147146144144146148145143145143140139137137137139139142141137140143144139142141145144144142140141142143145145140146143136136137137137150152150145144147146143144149149155152149151153153156154159157152147152154143142152148150144156139141146145150150157153152155161158154158157159155155154150152159153152151149150150147138149141139146139140138139145139144138139137140145140139136140146145146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178170172175176178181181181183184184184185185189190190193191190191191193194194194194193192194197194198206212216213213213213212212214217219219217216211207207210214999999999999999999999999999999187187184174164163165162164167166163162159158161165166167168169168165165164160159161165169172172176176175175176173169167162157153149999999999141143142145146144140137134134134134132129126119130119131132124107112112116122128135139143153154157157156157158158159159158158158159162160161161157156155154153151149145145147149149149148142136138133132131134138140139139142143142148149149150151152155156158157158158159160159157157157157158159158157158156155160164163163159161164162162160164165161166167168167168167166166167166166166164161159159160160160161163164161162163165166165166164163160157163162157154153155155160159161161159160159158157155160159156158156155157155155153150150149149150148152152152153153150154153150152151150149149148146148147149147147146143142143139143142141139138139143144145144143144142142147145149146147146148150149145147147144143148150151148142140142153153151153151143147153152153154157157153153156162167155154149144145154151150156156157148143155146165157150147151153156158152155158159156151154152161158158157152153152159156151150150147148145141142142147153151141141144149148143141139145143143148147 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176178177176172176178179181184186187186186186186188192194196194194194195195196195196197195197199200196200208213216218217215213213213213218218217217217216215212212214999999999999999999999999999999999185186185182173163162165167166165164163160161165166167166167166164165164162165168173174174173176177177176177176172168165160153999999136141142144144143145145141138133136136136133127117117121123132131138141130139145130133137145152158156157157157157157158158157156157159157159162163162155155155153150149147145145146149149149150146138139135132132135138139138142141142145148147149148148150155156157159160161160161160161160163160158158157156156157160162160162165161163163161162163164165162165167168163165166168167164166166165166164159160159159157161162162164164164165166165163161160161161164165168164161156155155158160161163159160159156156156158157157157154154155156156155153153153151153151153153151152148156155153153151151151151150149147149149149150149147146146145144145145140139142142139142145146144145146149148153149145148144152156150152154149152154150156158153150150160160161158151152153147155146155158161159161166164160152150149154146150152156161146152147148154158157151151156159159158161158154156161160157164153156158160155156151151160153155154152149148149148147145145148144143148147148147148144142141153150145152 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178179179178176177177177181184186188189190190187187189190192194194196196197199199199199197198199200205199204210214216217218218217215216217220219217218218217216215213215999999999999999999999999999999999999186187186182181174164165166167164165161167167167167167166166162163166169174177176177177176177179178177177176172170162155999999146145143144143143145145143143140136136135135130129130130129130140135137146143145138140146149151154161158157157156158157157156157156157159158159161164162157157155153149147146145146148149148150151147143143137135136138139139141142144144146148149150150151156159159161161162162162162163163161162160160159158156158157160161157161164163162162163164164168166165164168165168168168167167168166163165166166164163162162156158160162161165162162164165164162161162164163170168163164159156154156156158158159159160158157155157158157153153155155154156153154152152154153155152151151152153154154153153152152153150147146148146144145149149149144143146146141139139143143143143144146144144152151152151154154149149147154159159159158159162162156162163161159166158163162160163156156156157160161160165169169157157160153152151150157154157159158157156155156156156157153153160161164164168168166167168160158156154162162156154155153160154153148148151146146149152152153148149145147144147149150157148150156146145146152 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175174174175174174178179180184185188190190190191190192190190194196197199199200200201200201201203204206204207213214215216218218219219219220219217217216218218215214214216999999999999999999999999999999999999999999187185185180172169166170167164161168167167167169168167165167173176175177176178177178178999999178176172169168153999140143147149148145144144144143143144143140137133125125130129137140137137140140140139138138139143150154158157154155155154154157157158157157159159158159161163161158156154150148147146146146147148149151150145143139137138140140138141144145146148149150152154157159158160161161161163161160157161162162162161161161161159160162160157160161161164163164164165166165167168168169172171170167169169171166168167165169166165163162161159157159163165163163166163167164165163167166168167167161157156154154153157158160163160159157155159160156157157158156155156157154154154155155156154153151152152154154151151151152152148152148150148145145145148147145140136140146144143144144143144150152148148154156156151152149149150156155157159163162167169169167166163155157163163157165170168168167160159159156165172172177162157157163161154152157156152150153158150156157156161162157161164163165170164168166164163162158158156160154155153158156154153152152153153149148151152158153154152151148149155155159152147149149143145151140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176177177178177177177177178179181184188188191191192192193193192192191194196199199201199200200199201202205206209214209212212214212213214218221224221219217216216216215215215215999999999999999999999999999999999999999999999999999186185184179177170166164164165166165165168170170171176178178177179180180178179999999999999999167169167148144147147147147147146145146146145146145143138128123122120127131144137140142141137138139141147146142146150155153153152154153153154154156157160166159159160163164160157157156151149147147146146149150151152150145140138139140140141143144147147149150153154156159160160157159161160160158159160160159161161161159162160161156160163161158162164161163164165166167168167167168171173173173171172172171172173169168171170168166163162160160160162160162162162162161164164162163167164165166165164162160158156157156157158161160160159157161162161160159158157158158158159158154156153151154154152152151151150152152150150148150149148148149148147149146146146145144143145143141142143144146147154149152152157157155154154153154156155156156164163170168169165169162160166174168166167172170169167164165163167167165169180176159159158163154154160161159156156156153161158153157160159161165165165166165163164164163164166165163156157154161156155154153149152154151147151153143142141142141140151151151152153150149150152151150155136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174176178177177177178179179181183184187190191195196194193193193192193193194197199199201200199201197198199205208211216213210211213213214214216218221220220216215217216216215217215999999999999999999999999999999999999999999999999999999999187189183181177173174172170172171171172174177177175999180180181181181999999999999165166168169167154141143144145144146146145147147147149140135130123121125126127130134141139142140137139138137139142140138149154153152150153155155154156156157158158159161160163166161157156155153150148147146149149150150149148145143141141140141144146147148149152155156158158159156158155155157160161157159161160161163162162162160163163160159160162162162161162163166167167168169169168169173174172172175167171173174174171170172169171172166163159160162162162161164162164166169167165168170169165163162164168167162161161159158158158161161161161163163159159158153154158156154157159158160156152157154151153149151150154150149151151149148150150147146147147148146146146147146147145143144144144153151153150152157157155156157159158159163161162161168163171167165171170169170176174177175175172170169169164168175174170167169175171160160161154155162164162157159160160159158159157159160168163167168168168169166165166169171168163162160160160153145146150153159149147150142148144142152155142142149157150151148149150154161154154148155159 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172176177177177178179180181183186187193193192192196196194193192193194194194196198196197198201202202198200201204211214215211210212215215216216216217219221220215215217217215215217216999999999999999999999999999999999999999999999999999999999999999185183184183182181179178177175181183184999999180180182181182999999169167166164163163165167161148140140142143145143145149151150142133125126124129128132136134140139140138139136139143142140141139140143146148147152155156157156156155157159160160162160165166162157156156155152152149150150151150150148146143142142141142146146149148151154156157157157157158157158157157163165164164166165163166162165162160161158162160158156161161162162163165168168167167169170172173175174172171178173173175175175171172173174173173167167163168167165166164164164168168166172171169169170166167164165167165166163165164160158157161162163162163163159157155156155157157159158156154153154158155154150152148150153149152151153151148149149149148148146147147147143147147145148145144145145153151151151154154153157157160159160166164164162165162170170173170170175175172174175172169175172166166170175174178178178178170170173170159167169163156154160162161155160158155160160159169169169166165166168168164166165170168166164160161160158161154148150149156155152154144145157148150150148146146152152148153152152151154160161157156152161 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171175177178178179180181182187190191191193194194195194195193193194193194195196196196198197197199202203201201203206212214209213212214216218218217217217218219219215217216218216216217215999999999999999999999999999999999999999999999999999999999999999999999999999999183181181181182182183999999179180181180180177999173172169165164163163162163163154143141144146145141145151151148147134130131132127134130130137142140138134140145153155155155156153154151149151155156156157157158159157160160161160163161166166161156155155154154152152153152151150147145144143143144146146148149151154157158157158157157158158157157158159164164165166167165166166168167167160161163165164163161163164163164168168169169169169168171174176175174173175172174175175176175174174174173172172168167166168168167167168167169168171167165168171169170169164164163161165164167165165166156163157157161159161162162158157158156155158154154152152155158154156157156152153156152150151153152152153153152152152148145149149147143147146145145146145151156160149154157158159157156154161162164170169168164163174176169169171173171170172173173173173173174170173170172174176176175172171171168168171170166152153152163163161158159151156162159161170163167169160168163162168168176175172170163164163161160161154150157154151150150150137143151146141148149146150159152153153156154155156157158156159156166 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176170174177179181183184184186188191193195197197197197196196194194195196195198199201201203202198200202202204203207207213216221216214216217218220219218218217218218217217217217217216217214999999999999999999999999999999999999999999999999999999999999999999999999999999999186185185185999999999999184181181181999999178177173170168164161159160162161156150144147149145141149151148143137140145145146138125128125137138134138143154156158160159158158160158155156157157157157162164164164164164164161163163161166168163156154155153153154154153153150149147144146144141143145149150155159160161161159159158158157157157159163167169169168168169168171165164169170167165166167167168164164167167166168168170170172169169177177176175174173173177177174178178173174175175174173175173171168168168167168170169170170167170171169170161164166156160162160160161164165160158153157164163163162162162161157157155156156159156155156155159161159154157154154158156155152153152151152153152153155155152149150149148145145146146143141153155162151152158158155156170156156159172166170177165168167167168166170171172175174171168169171174170166167170167167169173172170172174170169168170173166157157158158158157159159157158164162168169168168168169169166169170171176174171170166164159160159157156156148146145147153162154154155147151152152158155157155155155157164166163145165161163153169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177173173177180183189188189192191194197199200199197198197198196195196198200201202205207206208205205204204206208209211216218221218215216217219220219218218217217218216216217218218999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184183181178999184180179180177174171168159152151999999158150148154153146145152150145137136143145146143135149141143145145146148155159159161161160161160162162160161160159159163166165164168169171171167167163162169171166159156154154153153153152152150149147146146147146145148152157160161161160158159158159160160160162161164169172173174173173171170171170170171172172172171166169167166167168168169172172173175175178178178174176178179176177176177176175174173176175176175174174172170170168168167170170170171166170168168173170165168164163163163160162161167163163162162166164159156160161160160163161161156157159159160157157157157156155153155155158155154154153156152153154153153153153150152147150145144145148146148147149154152154151150157156157161162176168171173165170168166165166170175173170170171168172170171172172173170174168169170168169171170176171171170173171166164161157156155157157158162162166167166167168172167171170165174173167172172167167166164163163157157156156152151156154154166151146148156157155160163155155161162159164166168159162164165156158162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175178178178180186188190189192193192193197199199201199197197197196197200202202202204209210212213214213211212213214214215220218218219218216217218219219219220218218218216216218218215999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184184181999999180178179180179179178174165156999999154154152155157153148152152150146143140146145149150150145145155155154151157161159160162162161161159163162165165160160161164165164166170173174172170166164164167171167160156154153153153151150149148149149149149149149151156159161161159158159160161161162161160163168173176178173176178177175176174172169171173172173174173170174173172170170170171173175176182182181181180182175175181181175179176178177175175175176177176175174174173171167166167171171171170169170171169171171166167167167165161161159165163163163163166167165162160162162160161162163164159160162161160159155158155155158156157156156156156155153152153154153153153153151150151151150150151150147148148150152154159155153153155158157160162169170162164175176172166165165169171169170173165166172173171172177176172172173173169170172171172176171170168170167159161158154152160162163162164166165166166164167170170171169168171172172173171168167169167165160158157162159154152152149147144150153159156151155161161156156163163162162166161161157159156155156159 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180179179179178179183188190192192195196195196198198200200200200201198202204205205204203207209211214217218218219219219219219220221220220220221218217218218219219219219219218217217218218217999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181175179178175177176177176175175169162157156156154153154157156153155158156151150146150150149152153154154154158160159161161163162163163164161160160161161167164162159161165168166165168170171170168166165165167171171170165157152154153150148148149152151151149150153155160162164159159159160162163164164161163167171173178180180181183182182181182180176177177175173171174172175177178177177178179180181177170184183182183181175176179178178178179182179177175177176178177177174175175168169167167169171171171171171174173170169168168169167164165163163166166166166168169169166166164161163161165164162162160162159157161160162155155156158157156156156157157156156155154154152153153153151149152151150151155151150154153157152154153160155157162165166167170167172174165172176174174172172170171171172167168171172175170174174172172174171172169171170173176178176170169171167162158158155155157162163164163166169166167169170170168171166167170174173177174178172172168163161158149146160151151149148140146151152155157155155159162162163162162161165168164163168165162159157158 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181182180180181182187190192195195197198199199201200202203200203205204205204205206207207209212217217220220219221220220221221221221222221221221221220219219220220220220219219219218217219218999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179179179176172166170166167161158156156156156156158159160157156159161159157157156156158158160158161160160162162161163164164162165165166164162163162163163164160159162168170169167168168167167166165167167167169170170170165156155153152154154153151152151151153154156161163165164162162164164164166167166170172172177178181184185185186185184185185184184182179182179178178177174176180181179180180180173176182185183177180181179178179179179178181178176178178178179177177178175176176173171172172169173172173174176175172171167166168167165163162163164165162166165167167166169163162162159163163165161161163155159159161157158155160156157156158157157156155154155154157154152151153154150154152152151151152151152152152158160156155157156163167165170173173176178173173166169171166169169171174169168170169169173170171173173172172171171169170170176176177175171174176174167164161157159159157160161165162163168170171172173169167164172173171173176174173168171175174166163174152155152149147151149150153160158153160158158160161159161162163166167166171164164161156158169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178177181182182184186186191194194196196197197200202202201201202203206205206207207208210210210210215217218221221221222221221222222222222221221222223224224224224223221222222221221221220219219219999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183183183180179171164160157156158157156156158161163164162158159161161163162162159160161160161162163162162163164164164164164163169172172168171168167165164162161166166172174173172172172171170169170169168169169171171170171169160156155155156155151152154156157160162163165165167165165165167166166169171175175175178178177183185185186189188186185186186183180183181180180177177178178181181181180179173176182182179179180179178177176176176175179177176182181181180180177174177178176171171172171174172173173176173172173172170165166165162163166164163165163168167167165162162162164164159166163162160158158156163159157161161161161160159159159157159156155157158158157153154155155155153151156156152155155153155153158156153155157162161159161169164173174178178181176167170171171169173173173173171175176174174169171171172172172172172172174174175174175181177177175173166165165161160160161162163165167168167172171167170167166169174174173174171171172176176174169169169167165161156160159161158157158162159162163163160168170167164162165165171163167166161166168160159 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178178180181180181183185189193193193195197197199200201201202202203205205205206207209207210211212213212215218220222221221222222223224224223222221221222223223224225224221999999222222222222221220221219999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186187183999164162157157157159161159161163164168168166165166165165163163166164164164165164164165166166165166166165166164165170177178178177174173167167166164162167171173174175176177177177176175176176174174173173174174174173169160156156156155156154156158158160160163166165166165167167167169170172177181184186185185184186187187186188188188185187179184181180181183182180180178177182182181174177183182181176178179177175172175173174174174175177176179176178177178172172172174173170169172171173173174175176176174173172167170167162160163164165162166163165166165165162164165165159160164161160159160155160157159158162160159160159161159159157158157158158158157157157157157156158154153155156154153156156156157159156158160157161165165170171178175177178177180176174166176172173175171171170175176172173172171172173174174174180177177175173174176176176175176174174169169165162160161159160161165167170167166169169170170173172178173173172170178176179172173173172167166164163160163162157158157157160166165165166163166168167169160161167170174176167168172155163186 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227224999999999999999999999999999999999999999999999999999999999999999999999999999999999181181182181181181181182187191192194195196198200201201204203203203204207204204207209208209209212213214214217220222224222222222223224224224224223223222223223224223223223221999999999999227228225225225222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163162157160160161162164167173180186187188186179172171170168167165166165166166165166166167166167166166167166167172181192184183184185183176173170171164174177174175178179179179180178178179180181180178176175174175176175173168164162159158157158159161161163163166166167168170170175179182183186188188188191192191189188190189189190188186183180181182181183181181178179176182181184180184184184176179175173175174168170174174172172176177178176175179180179179177175176176177173173176175174173174175176175173170173168168166165167166164164165168165164165165165165166166165164162162163164161157160160161161163162165163162164160159157158157162160157159159158156157158159155158157157158161161161155159163164162163159164166166169172173181178178177183172179181176170173171176169168171172170171172173174175176176173180179181179176176176176176176176176173172171169166164161161159160162167168168168169171170175174173176172170173173174175175176174172172170170168170169163163161163163162164167162162166166160164164163169163170175170171172158175169185169175 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999216216999999217218999999999999999999999999999999999999999999999999999999999999999999182183183182182182182183186188192195196195195197199200202205204204204203204203204207209209208209210212214215217220222223224222222223223225225224224224223223224225223222222222223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164160161162159163165165168170176184189193190193191194188177170166170164170169167165165166167167167166167166166168169169181190188188179194182190180175174171170177179174179178177176176177179179180182183182180179178178177177179178177172172170167164163162162160163164166166169175178181184186187189187191190193192193191189191192190190190189185183183180180179182182183179183182181180183183185185182176175175171172167172175177176172170172172173176176175175179175179179176174175174179176174174177175176175174175174170171167165166165166164166167165165162165168164165165166164163163163161161157162164165162163161161166164164164162159158157158161156154155157156157158156157157159160157157161158158159164164165166165168170169174177179175179180181179185174176177177172171172171169172171172170172176177178175175180176174179184183181178175177174179176175173172171170168165165163162161164165166165169168169174173173177173172173176175172170173174172175174176172172168170163163164164164163168167167167166164164165164168172171174175169167168168169185171166175 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211213210211210212216999999999999999999999999999999999999999999999999999999999184184182183185185183183184183185188193195194196198198199199200200205205205203203204205206208209212212213213214215214218221223224225224224223225226224224224224224225225222220221222222221223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164161161162164166170169175180183188191192193196195195193190172169172171167165170169168166166167166166166166166166168171176189188197199199193185183189190186181172174183176177176175175176178179180182182183182183181181180179180180180178179178178177177174170171171169171173179178184186183186189187194191190191191192190194195198192192187188189188181181178178177182182183183182179186184182188186184184168169170170170169174173172173173174175174172174174176174175177180176176170175173177175174174174173175173173173174171169173170163166166165162167162163165166166165165165163164164161166162162160163163165162160164163164164163165161159158159159158156153154155158159161159159161160160160159163162162163164166165166168169177171176177181183181181182185186177175173172172171171173172171169170172174177177177176178177178179183178182178181180178175178179177174169170168167167166164162163164166167167170172174174174176175173172175179177175173174173175175175172170171170169167164160162163165165167168165165166166166173171169173176171171188177171184170162169179 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208207999202203207208212999999999999999999999999999999999999999999999999999999186188187186186188189187188190188190191193194195199201201200201203202205206206205206209209210211209210210213210215214218220220222225225225224226226226225225225225226226222219221222223222222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179177178999999999999169165165163163162160163169172176180184188190192195197198200199198194191190180169169167169171172172168166167167167166167167167170182189192199199202200193192192194191192187177177182176178177176177177178180180181183184184185185184182180180182182181179181181181182181182181181182182184186188187188189190191193195190192194196198197198193193190190194194190182181181183182179183184186186178181185186183181171169168169168170172172173174173172170174170173175172171173175175178177176174176178176176176174174174178174174174174174174175175172169167166165170164165163162164165163165164168167166161162165163162162166167167165164162168169164163163162162158159160157156156156158159160161163163162162163163163165164166164165168168168173171173178178180180180185184186186181180177174172171167165167166170170173170176178173176177179179179180179183182177180177177176177176175173172170168168166167166165168167167169171174173173174179175175174174177175175175175176174178172174173171170170171167164168167167165165167167165163163163172172168172176172166185193194182173169163171176 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213205204202201199200201202199196999999193999999999999999999999999999999183184184187190190191188193195193193192189191193194192196195203202201200202202203207209208210213210209209210209208211211213215219220220221224226228227227227226225225226226225226223223224224223220219999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177175178178176174170170169169168168169167169171174177180185187189192194197199202205203203203198198191182177174172174175173170169169168168167167167168169179191193198199201202202204200201198197198188187174181178178178178178177178177180182182183185186186186184184184183184184184186186183183186187187189188189190189190192194191193194195202197201201198200198197191190190188189190189184181184184181186182183185187182176186182178180174170170170167168167171172173170169170170174175170173172176178174176178175176182174176177175175175175177172176177173173173173174173171171171168167166164164165165165161165162165166165164163162161162165167169171167166167169166166166162162165160162159159159160160161161162163163167165165164162166166166168167167170170174174176176178177184182181185182184184182181179175171167169166166166166166175172175177181178184185181180181180185180183179178176173172171173173172169165165163168171169173171169170172174175171175177175178178175173176177176172174177182173174172170171176173169172171169170170169172169162164167166171172169182174170164169175178180174172169171165 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210202201200198198197196195195194193193191191191192189999999999187187186184184185184186191193193191193193194194192192193195194194197197201199201201202202202208208210211211210210210209211211211213214217218219220220222224226228229230227225226225226226227226226227223223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178178179179176173172170169169172173174173176178181183186189192195198200202203202202206205204204203203198189174177175172171171169165168168168168168167168183193196196196198202203203204202200198196197190192183181179179176179179179177179178177179181184186188189189188188188187187188189190188189189190190191189191193191194193192192193194195194194195195194193191196192189189188187188183185183179182186182184185187185184182182182178177174173170172174171172169170171167167169173169171171173171174172176178177177176183177176182175175175177175172177179174173174175172174173174175169166166165166166167166165166165166167166165168163163163167170170170172169170167168169167166163162163163162161164164165164164167167167170167167167167167166168169170170172173175176176178182181184180182182180179187182179177172169173170171172173170169169173174180179181185183183186185178186186180184179177172173174173172172167164165167170170170173171171173172172175177180179179183176175175176176182187180179179178171173173172180180170169169167170172165169166165164165169174178173176175174169171171171180183166166165169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208206999999999202202198199197195195195194194194193193192191191190190188186186187188185185186185185186188192192193192195192194196194195195195195195196195198198198203200204205206206209211212213213212212212212213210215218218219221221221222223224230230228227226224224225227225224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189184181181180178176173173169173174175178182185187191192192194198202203203205205206206205208205204204206201190185178173170173174174170167168168169169168169172189196194196196199200204205204200199198192194190189190184180180178179180178180179179179178179182184186188188191192191191191191190191191192193194193195196195202196195193195200200194194194194195193193197195195193192191189188187181183184188196187184191191189188185184184181185175173174175175173174170170171172171168173176174173172175173174175177177182181180178175182175177180176180172174173174171171172173174173174173172174171167166170171165166167168165167168165162163164168166166170170169167171168166166165169165166164163161165162167165166166167166166169169167169169169169170172172167170178176178175179182181183184183181182181180187184183178173170172173170169169172169170174178176180181183183186183186182184184184178175174174171170168170169168167171173173170170173175172171172176178176178179181180180181176172171172178182178175174177176173171174172172169170169172165166167165167167164167170170178169174175174173175173187183165188181187 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207209210207203200198197195193192193194195194192191191191190189188190190188187185186186186186187187192195194195193194193194197195197197195195198199199198198200200200199203205206207209209212211210210210214212215215216221222221222222222221223226226225226227227224225224225999999999999999999208209213999999999999999999999207205208209210999999999999999999999999999999999999999999999999189188184182180179177175174174175180185189192196198199201201202203205205205205205206207209208208207203207203202193186176179179170172172171171171169170169170171178187194195195194196200205206201198196194191194191186181187182181179178180181181181181181180180181183186188187189189192192191191192194195194196197195197198202196195195197193205198197198195195191196195195198197185190188189190188185186188190191190193186186187188185185185185182183179175176171179175173179174175177172175173176172175176174175177177175182182182183184177184182178182179172174173173173174174174178174176176173176174171169168168167168168166163164162167166169166166165167167168170171167168166165164168165166164165167166165167166166166167166165169170170170170171171172171172171172175176181181179179181185181181185184181182188187187182175175173172171167172172173176175175175178179181186183180184184182183181173176171171171171169169168169172174173171172175177177176176175177180177182180182181179175178174173175171180174174176180188179175177174175170172171172166167170169171171169172159165171175180178173177179180177171191189183188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205207207205202197196195194191192193194194193191191190190190187187190190188187187188189188188189191195195196195193193193195197197196197196199200200198201200202202201202206208209209209208210211211210211217218216219220220220221222221222220222223224227226225225225225225224223999999999999999209208208211999999999999204202203203203204206206206999999999999999999999999999999999999999181187186181178178178176175176180188192196198198201200201203203204204204205204204207207210204205205205205208206204196183179177177173174173171169170168169170170175185191192193194195198202205204197195192190188188189190179188180179183182182182181181182183181181182184185187189188190192194194194195197198197198199199201198199198198195196199200195198201197197194196198197196187192190191191190187187184190186185184183184183177178187185179182177177174177176175175175176175175176174175175174173174174175176177179177176178178176176183177177177181177172172175174177176174173175172178173173172176176173170168167166165166163166167168164166166166165167167167169170170169168169166169167169168169167168167164167166169168167168169169171172171176172174175174174174175174176178179179181179185193182187186189183188184189189185178177171169170171172172172175179181182182186187183183180183183185184180176180173173172170171174176174174172172172172172176179176174175177177179181179179179177174174172174175176179179183183180174175179176175179176172174176169167162174183167167165172183175186192172168171177186185185181183178 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999201205205203202199195195193194194194196196193196193191191191188189189190190190191189189189192190190193195194195195196196196196198198199198198201201199200203200202203203208212213212209213214209209210207211218219216218218220220221219219222221222223224226226225225224225227226999999999999999206207207207208208999201200201200201200200201203204204205204999999999999999999999999999999999184185183178176178179178179184191195197198197197198199201203204205205205205205205207209207205207208208207206206208191187177175173175173172172170169170172171174181188191195194194194198201203200195199196188184183185188183189183181182180181186186181183183182182184188187188189190193195198197197199201201203204205202207204204199202199199196204205201201201199199199195196197187192193195195193193193195193192191190184184186185184189186188187185181181183182181181182181180181175175172174175175175175177178177176176177178180177176177183184183183183175178177176174175176175176174176173172173174175176174173167166166164164165165169168165167168169169167169170171170169169169171171172172174174174172172169169167168167168170170170173177175175173178175175174175176178178178180180185186188185186185187187186191192192191188184172172171172173174174176176181181180183185188180183186187184182182182181180177174176177176176176176172173175171174174179180179178177178178178181179180179177176179178176180174172178180177176177181178179183179174168166168163163162157174171177175174185175179181182187180187190195182188171189 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210207205202202202202201197196195195194196196196195195194195195193192190190191191193193193193192191190190193194194195196198198198199198198198196197198200199199199202200204203207211213210212209210208207206208207213215216216218217218217218220221222222223224225226225225224223227227232999999999999999208208207208208208208202202204201201200199202202200200201201201201199999999999999999999999179182183178176177179180182187191196198199198196196197197199202201204206207209208208208205207206207210210207207205206200192182177176173172171172171171170171175178189190193194195193196197201202198198196191190188184183183185186187190183180182180181184186185184185187187189191192193196198196198201203204204207210207207204198198196203202202207206201201201201201196199195194192197191197197198195193194193193195194193197194185192190189186192190182187181181183181181179177179179180175174171175176176176177176177175178178179178177177177178178178181176177174175178176176175170179176174176172175174175176175175175170170169171170169169171171172169171171171169171174177172172174176175173175179177179180177177174169170169171171170171172176173174174175175175177176177181178179182182183184183189189187186188190191191190189187186181174171175174173173174175182181181180185185185180184183184182185184182179181178177177177176174175174175175174174175175181179178179182181178182181179176176179180178179179178182180181185183180182179184184177171170166166166167177177171174180178182191195181179194196190197196195199198181182 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211210209209207203202202201199198198198199199199198197198197197198196196195193192192194193193193193192191190190193194195197198200200201200198198198198199199201199198199202201202203206209210211212208207206206207209211217215218217216218217218218219220222223223226226227225224223999226227227225999999999999999999210208207206205205204204202201201201202202202201200200200199200199195999999999999999181181181179179178179181186190194198198197195194194196198201202203204206207207207207208206207206209211209209210208206202201188179178177178177175174176177178181186191191193192192193192198200202201200193192191187184182181181185187189187187183179179184186189188186186187189190194195196197201204205206204211209210205207200198198196200202203204203202201204202201199201198197197198199200200199199197189194195194196190197192198192193189193186193192189186182183180181183181178178178178179178176174175174175175177177178174182182178176176175183178178175173172177176178175177177178175175174172175174174173173172174173176177178176177173174176177173173173175173173177174176176177176176178180180179180180179179177176172172172173172172174174176177179180178178180180181181184183187186182183188186188187189189194192191189189188186179173175172173173175177182182180181180183183184181181184184184184184183185182182180178178178177174171173174176178177180182179177181183184183185181181179176178179177182179180182176181184189186185175179185183170169170170173176177175184182178179188195196193198200200202201195191190197185191 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210210208208206204203202202204204203202204209211206207204203202201200199197196196195195195193194193194194194193193195195196198199199199200200199198198198199200200201199200201201205204209213213214213212209211208209213214216217219219217220218219220220222221223224226228225225224223225226226225225224223999999999999999999999204204205205205205202202204204201202202201202202200200199195194193191999999181178179179179179179183188191194198197195194194195196199199201205204206207207208208208207208206207210210207209208208205198197188180181181182179182182182183188191193193193192192194196198201202204202197194191187187184179178179184187188190187186185190191191191190187185187192195195197201203206207207209208207206205198199201203202203206201200201202201202201203202200198199197198194194193193190188189194191188184185187192190190189191187190191195188190185185176175175177175175175174175174173175175175175176173177176173175176176175174175177175176175173177176176173173177175177175173176173176172176174174177174174178176178180180179179183181178180178177177178176176174177179177178179178180180184182181181181179175179177178177177178181180179181183183185185186186189189186189187186189187187188190188191192193191191191189187181176175172172175175176179180183185181182182181182184184184185183185188185185184185182183182181178179181180184179186179178182182181182185183185186183181180181182183181183184187188187181188183178178178178174172170168170172172173177181180183192194201202198198205202198197197185193198202203 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208206207205204204203203204207207208209209207207208208208208207204203200200198197196196196195195196195195193194194195198199199201200200200201201201200200200201202203203204204204205206205208212212214215215213211212213215218218219217218219217219219219222222222223225226227226226224224226227225224223225223999999999999999999999999205207206206205203204204204204203203203202202202200199197195195194190182174176178178177178180184186191194195195194194194194196199201202203204206207208208208207207208208209212210210208209208204201201193185181184185185186185185187191192192192191192192195195198202198201202203204196190189182179177176180182183184189191191193191191189187186187195196198198200203205207208205204203200209200195202202204200202202204203203204203201202203203202201200202203196195195191191188191191190189198195197196193195194195196196194193192191187187186182180180183180178177179179178178179177177176177173172172176175175180174172174174172173175176176175175175175175174173174175179177176173175178181177178182180182182184184185185186184183182183183184180179179180182180181180182184186189185182182184182184184185183185184185187185189190188191192190190189190192188190190190191191191191193190190190189193192191190190186179174174174176177180181181180187183185184185186188187186184183185187187186187187188186185181182181184181183181184181184183182186189186184187186184186186186189187185184191190189190190181182182202187187183177178171175172170175178182182188199197202200201205205205205204206191189191191197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207206205206204205205205206209210210209209209210212210211211209210206205203203202200197197198197196197196195196196197199199201201203202201202202202202202201203203205204204205205206208207207210211214215217218216214213214217219220220220219220219218219220221221222222223226227227228228228226226226225226226222999999999999999999999999999999999208205206206206206204204203203203202202201200200198196195192181177177179179179180179182186189193195196194194194195198199203202204204206206206207207207209211212215215214211208209209208206204202193186185187189189189189189191191193192192192194194195199198201199199200203202200196187183183181181177183183184186187188188189187186187194197199200201202202206209206207204201202200198203203201204203203204207203205202204205205205206207207208210206208203199192198194194193193195203200199201201201200200197198199199196194196198194194187188194195189183183186188185186182189189188190192194191186190184180184180180182182189189192187187188189189182182182186185183181184189189189190188189190188188192191190191192188187188189190189193191187188189190195193187186193197195194194192191193195198196193192192193197196195195197198196194193194194192192193195194197197198197196193194194195194193195192191187180179178181182181185182184183183187186186187189189189189189189190188188191191192191188185187187190186188186184184185189189190187186187185187188187191190190189188190196196198205195184183197197190193188194193188186196191185179182194190197198198197198203209208205198196194198197197197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210207206206205205206207207208212213210212213212212213214214213212210207205204204205203201200200200200200199198198199199200203204205205206204203203204203202203204204204205206207208208211209208210213213214216219219215215216219220219219218218218221221220220221221222221222227229229229229230229229228227228226224999999999999999215215999999999207207207208208206206204204203203203202202200200200200199198194186178180182180180180179181184187190193195193193194197200200204205206204205205206206207209209213215214211208204204204206206206206203197190188187189187188190190190191193192192193192193196196198201201200200200202201203200193189183183181185187185184184185183184187188195200200201201203204205206207211207205204204200200202202203205204205206206207206205207212214214213211206212212210207210208207208206198197198192193194194193196197196198198195194196196192195195189186190188192191188186185185182179181179184185188190191192192180190189192188187185187187190190192189185185185185190180183183183184186185195191186188189189187188191186191188187193192189190197195195196197193193194196197191190190195194194192192192192192193194194193195194197195196195195197198199197197196196196195196198198198199199197198197196197196196197196195194186181182183184182183183182186187187187188189190192192190190189189188188188189190190189190189187184192190190185181187185190193195192188187188188190189193193189188189190195195199195194197197194198192196190196202198187204190191202198192190195197198199200200200203202202199203198196200200 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208208206206207207208210211213213214219219219219219219218219220216214208209210207205209206204202205206206205204203201202203204204206208208208208208207205203204203204205206207209207208209210211214211215214215218220221218217218218220220219219221221222221222222222223224225226227231231230230230232232231229229227999999999999209207211214216217217216215212212209204204202202202202203202201200199200199200199198190179181183183183181183181183187190193193193194197199200202205206207206205205205205207210210209208208205203202203203201203203206204201195192191188186186189191190190191192193193192193193197198199201202202202202199202204204202195191190191192188186190186187186186194199202201203203204205208209211212209207206202201202202202204205200204211206213207211212214214216214214212211214217215210208207210209209210205203201198196194196201201200201203197197198200198198198198198198194186191186190187187186184188186190186189193189192189190189188184187191190190191192192190189189190192190186187184183180188188190191186189190191190189186184185190186188191190194198196201199197199198197197197195194194196198196195196195195195195196194195195199197196198197198202201202200201201200198201200202202201200200200199198197198200196197197195194189183184186185184186185186188189190189189190191193192192191190190189191191191190191195192191188185192192189192187191192194195193194191193191190191191193192190192192196196199200197199201198198198191185185194198204198191197196209204196199202203198202205203203210210207207205205209199197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208206206206208210212213215214215215215216216216216216216217218216213211211211210211211210206204203207209211210208207203205206207209212214214214213210208207207207205207208209209208210210212214214213214216218219221220219217218218219219219220222225223223222221222223225227228229231232231231231232233232230229226999999999999216220227228225218214214215214213213210205203202202203203203203202201200199200201199195183181183181179179179181187189191194195194197199200202203208207207208206205207209210211209208205202201203202200199201201202203205202199196192190187187190193191191193192192193194193195194196200199201203203203202202205205206207204206203197195191191191188193196199202203204199200200206211213214215211205204201199204199203205206206205209207212211217211215211211211212214215215213212212212208204207209208209209206210203201198202204205206206203200201201201198198203202199197187195193191189189186188194195187183191192188189192196191189188189195191191191192191193189188196190188187178183190185190188181189189190186191191190190192190192188195199195198201202203200200202196198199198197197198199199198197198195197198198197196195196199198200200201201205202204202204202199200201203205205203203203201200199198199199198198194194190187183183184184186187188191189189190190190190189190190191190191192194196193196196195195194193191192195195193191192190192195193194194193200192195196195194192190190191191197200199208196184189197203202198196204202205199203186205204196197204197203209211206204205211204208208207207210210203 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208207207209210212214214215215214214215216217217217217217218218217215215213213212212210209207207208211212213213211208208208209208213215216217216215212212212210207207209209208208210211211211212213214216218219220221221220219218218220220220222223225224225225226227228228230231231233235233233232234233232230229227222999999221228234232229227999999999211211211210210206202202202202203203203202201200198198200199198189181182181180179181184191191191195194196199201200202207208207207209208209210210212210208206203200200200199197200198200201202203203201199194192190187188193193192193194194193194195195197201200200201202203204204207206206204205208211204198195194193193194193197203200202202204205205206209214219214210212202202203204208206209211210209206208212215210212210217214217220223222212211216214209213213213212215213212211214211206205199204208209210209202197202203200206203200199198197199199196194196193196196196182187185186191191196198193197189199197194192195194196193190191186183175185181183183181184186190190187189190192192193193195194196198200203204204204205204202202199198201201201201199199199201202201203199200198198198201199198199203202203204204204204206204204205206206207206204206206203204202200200201202199199198197194189187184184183184185187188188188190191191191190191195196196195198197198198200200198199200199199199199197198195194193193192192194195195193196200200198195195193197194197191197195200200188187192200203200195202202200195195192200197198199200206209209210210212210213214212212210209209208208202 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209208209212214215217216216216214215217217218219220219219219220218216216213213212214211212211213214215215214212211211210211212216217219218215215214213215211209208210211210209211211214213214216217218220221221222221222221221221223221223224225225226227228228229228230232233234235236236235234235234233230229227225224227234236232226227999999999999999999208207210205202202201201202203203202202202201199198200199194189186183183184188192193195194194196198202201201203206208209208209210211213213210209207202200201199200199199199200201201202203204202201195192191188189195195194194194194195195197198199202202202202201204204203205205206204204205209204198196197195195195196203205204203204206206213211213216220216213209206206206205205209212212210211215216210215215211214219214215222219218216215215209209212210215213211212210210214213209207205204210208207207200201205205203198199200201195200197191192190191193192194191191190189191195193192196198199197198194195193195196195196195194191188183190185186186187190192192190191191194196195195196198200203206208207207208207210208203208206205205206203201201203203204202204205204202199199203204202205205205205208209207203204206206208209209207207209208208207206206204202202203203202201201199194189187185185186185186187188188188191191192191192193198200202203201201204205200204203198197200200203201201201199199199199200196198198196199200203202204203195195196196191198200203199200193195193194204202203201203201195199189195199204207207211211212213213213210212211208209211211211202207206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209208209211214215216217217222221220221222222223223223222222223225224220218220219218217215215216217215214215214212212212211212215216219220219218215215214213211212210211212212210211212215216218219220220222223222223224224221222222224224224224227228228227228228229230233235235234236237237236235236234234232230229228230240238227226225227999999999999999999209209209205203204202201201203203203202202200199198198198196191187182188187189193194197194195198200202201199201204207209210210210211212214210207205202200198199201201202201202201202202202204204202198195192188190194196197196197196197199200200201201203205204206206206209207207207206206205206209206201196198197198202205206204203203202212213216213214217218213213210210209207209205203214217211211214214214217213218220220222222221221218216219222219215217215212209214209215214216215215212210212212208208204205207212202198198202200196199197191193198199195198201195194191195198198195197198200197197197197198196199200194195194196194194190195196192191189192191194194193194197195196198199199205205209213211212212215213210211216214212212212209206205207205206206207207207206205206204205207207208206207208211207207208210211210211213212212211210211208208207205204202201203203202200198196190190186186186186188188189188188189193194194197199202202203204204206206209207209205203205204204206207205203203206204205200197199199198200202203203208207201196200196193201205202202199191210203199205202204202202201199198195199204208210208210210211212209208210211212209211207208208207201200 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208208208210214215217217218221221221221223223224223223223222223222223224219218216220218216215215216216215214215215215213212215217218220221221220218215213214211215215212213215214215214216219219220221222222223222223224222223222222225225225226226227227228228229231234237235236236237238238238237236236234232230231233238242999999999999223218215216217218999208209208206205204204203203203203203202201201200198198197198197190187190190191196196193194197200201201202200200202206210210209212213213212210205202201201199200202203203202202202202202203203203202201196192189192195197198198198198200201201202202203207205206207209210209210211212212210209207207211207204199200202204205205205202204205210216215215216222219215213208212205213208204205208211212214214220217214219226224226225221218218222216220214222221218220213212211217213216216217218216216212211201207208204208207201197195200197196194191197202199194202201193194190198204200195197195196199197196196198199199197194195197199198196194194193195194191193194193197200197196196195199198202204207211214215211214218217217212216218219217214215214213210209208206209207206207208207207208210210211210209211211210208213212212213214214214213213213211211210208207205204206205204205203202198195193192192187188190188187188188191192194198202203204203207206206206209207208209208209206208208208207207207206205206205204203202203203204206205207208206204200201200202204205210205204200199203199201197200202201201199198200201204205209211211211212213212208213211215214210207202207211207202200 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208209208211214217218219220221222222223223223224223222220222222225226224224224222220219217216217218217219219219219217215215216219220221222222222221217215214214213215216215216216216217220220220221221222224224224226223223223223225225226226225226227227229230230234238236236235236236237237236237235235235234233233237242243999999999999219219218217216210999207206207207204204202203203201201201201201202201199198198198197191189194193197197197196196197199198198198198199202207210210210212215216211209205202200200201202202203203202201194202202202202203203197194190189191196197200201200200201202202203204205210212212215213214215213211212214213212211211210212213211205202204206204204204204206213218216219220226225222221220214214214211211208208219215217218220222216222228223224227218222214222224216218219219222218216211210215219217219223219218217212215213214213209209206204202199200193195198198199204201201199195195200198199203202198197197197199197196197199201203200199201200201197196197198199197196197197197198199201197196198197198203205207211215216216214218221220220219217220220218219219220217213211214213211209209209209209213215211210210210212212212213212214212215215214214214214214214213212208208208206206206206205204203201200198191190188186189184183189189191192193195201204205203205207207209210211211211211213213211210209212210209208209207205202205208209206202206208210211210210203203200201201200207210210202208202201202204202203202198199203199203204206210206209210210212212212211214215215215212207209204202200201202 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206209209213217217218219220223223224224224226226226225226225225228230229229229225224223219219219218220219219219220220220220222222223223224224223222220218217216216216217217217217219218219220219221222223226226225225224225225225225226226227227226226228230231235237236236239237237237237235235235235234235235236238243244244999999999999221222999216216999999206207207206203204204203201202200198200200201201201199199198196192191197196198198196198196197197196196197198200204208210210211213215216211207204203202201202202202202202202203194202202202203202201195193191192193197199200200201201201203205209214214218220222222222223224222219219215218218217217216215214216217213209206205205205205209209214217221223220220220221219213217219219211212212217217215216217220219222219221222222222222222224224221219221221220216215217217215215212216219220221219217218215216212213210208212213205203199200197202204207207203204201204200210205200199195196200200197198198200201201201200202202202200202202200202197198198197199198201203201200200201198199201205210213215217214216219220219220221221219220220222222222220218218219217214215212211211212212212214213214212212213212213214215214215216216215214213214213212211210210208207206206207205206200201199195191191188190191192190189190192195199199201203206206208211210212213214214215214215215214214214212211211210211210207207208208210206206207209210210212211204202205207205209211210208218204207203205208207201200200199202202206207211210212212210212214215212212214210210209213209206202202206202206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257253258256999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999206208212215216217219218219221224225224224227226226227225227226225226227228228226225223223221222219220221219219220219221222223224225224225225225224224222220218217218219220219220220219219220220221223224227225225224225225226226226226227228228227229229231236239236237237238237238236236235235235236235234237239243245245241999999999999999999999999999999999204207207205204203204202201199199201202200201201200198199198196193195197198198197197199198198197197197199199202206209210209211212215215214208205205203202202201202202202202202201202201201201200198197192191192193196198197198201200203208215220225221224225227230229228228227226226225223224221219220219217215217218211213206211214210209213215219222220221219219220220217212221219215217221215212219210215219218220221219220216218223226222222218221222222217219220221219218211217221222221219216219221216218213209216219214209208209206203203206209209209208211207205207210210204203200199201201200204204204203202202202203206206204206209208207205202203202200199202201203203205203203202207207209212215216217221220222223223223222221221221222223223224223223223220219218214212212214213214214216214215213213217216216213214214213212212213212213213215210210210210208207208206209209205202204202193194194194194192190190191193196204205206208209211213213213215215215217217215218217216215213215214212212212213208209209209208207210211208210211212210206210212208210210206206211210206205202208207207206203203204203208214213216213209209209217213210211213215211210209210208204205204204207210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262258260259255255250252256259999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212210207206211214216217218220218218221225225225225227225226226223226225225227228229226227226222224223223220222223222220223221222223225225226228228228228227227224223221219219221221221221220219220222223224225225228226224225226226226226226227227229229229230233237240239238240241241242239237236236238238237236237240245246999999999999999999999999999999999999999999203206207206205204203201201202203202200200201201200199199198196196197197198198198198200198199198198199199200204205209210209209208213215217213208205202202202202202203203203202202201200200199198199198193192192195197198200200204210218223223225226227229232233233233233234232230229230230226224223222223223220218217220220220223222218224217217219220220218218223223225225225226222227225226228223219215217216216215219215213212217223220218220221221219219219219219221218218221221222220218215217221220217217214215213207213209212215211210209207205209211210208211211208209209207205206206205205205207205204207206209207203206208210211212212210208206206206201201202203204204207207205207208209210213215214216219221222224223224224224224224223224224225226224225224222219218217215217214214216215214215214218218217217217215215213212215215213215215216216214214213213210210210209209206202203203195194193192192193193194195199199205208209211209211210212215214215216217218218217215215215213213214212211210211210209210209208209209211209215215213210210212211211215212210210211216208205203206208208210209206211208213214215215214210210215217211209215212212211210205205210207208210212215206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259258256258258258257255252251258262999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999215215213212209208212214216218220220218219220225226225226230226225226224225226224226228227225226229224224224224223223224223223223224224224225227229230231230229228229227226223223222222222222221221221222224224225225226228227228227226226226227227228229229230230232236241242240241242243244244241239239241242240239237239246248999999999999999999999999999999999999999999999202203206206205204202201203202201201200200200200200198197197196198196197199198198199197196201201199199201203206208210211211209209212214216217213208205202202203203203203203201190186199199200199199197199199199199200203209216221226226226227230232231233232233232234235235234235234232231229228228225226226223222222218223222225224220222225224227226225228226228229231231230228233232231232227225222222220222217219219219216217224219218222223221221217218218217214216217212214219218220220220218222221219215215217214211209213213213214211212213204212211212216213216215213211208206208208209210211209208210208208208207210209210211215215214211211210209207203203202204206207206207208209208208210214215218221219222224224224224224224225225224225225226224224223224223221221219217218214216217215214215215217217216215218216216215215215215215214215215216215214214211211212212211209205203204198192193192191194196194197197202205208209211212210209211212212215216217218219215217216216215215214213212212211212212210211212211216215213214216213211211212214214211211210210211210213213205204207209211214210212214219214216214212212211213216215212215219216210212209212208209207210210212209207 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261255257262261258257259258257255256260259261999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999215215213212210209212216218220222222222223224227226226227230228229228226226225225227229230230229229226226226226226226226224224224225226226226230232231231229228228228228227226225224225222223222223223224226227228228229230229229229229228228229229229230230232233235240241243241242244246248247247245245245247245245245248251250248999999999999999999999999999999999999999999999999206206207206203203204203202202200198200201199197195198200199198198198198200198199199199201199201203205207209212211211210211210211213218219216211205205203203202203203188190185201201200201201199198203203207215221223225227229232234234235233232231232233234233232233235236237235233231233229226229225228226222220225225227227225227232229231230229233233233232233234231235231228230231231232230224223228222220222219218220219224226225223223220216221219220219221224224219218219218220224222223219216218212217217213213215218216215215211211212215215214218218219216215214213211213213213214215211210211209209208212214213215215216216217215213213211210208206208208207209209210212209210209212214217219220222224224224223225223224225225226227225225224224223222223223223223220218219218217217218217218218216216216216217215215214215213215215214216216214215212212212213212211210210206207203198194193195197199199201202203209212210210210211214212213214215217217219219217217216216214214215214213212212213214212212213212214215213215216214215214216216216214211210209212211210206205208210212215216217218217216216215215214214215217218216216215213213213212211208210209209211212209209208 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261260257257259258258257257255259259261262262262269999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999211212212213213213211210213216218221219219221223221225228228228229229230233230228229227230230231230230228227226225228227227226228229227229229226230232232232230228227227228228227227226227225224224225225226227228229232232233232232232231231232231231230230231232234235237242243244244246247248248250249251251252252252253253253254252249999999999999999999999999999999999999999999999999999205207206204204204202202200199200200200198196198196198200200200199199198199202200202201201200205204207209211212212210210211212213215216219222218212208205205205203191189201199203204204205205206209216221223225227229233236237237235236233233232232232232232232232234235236237236235232231230227226230227222231229222224230230230234232232237237234235235237238239238239237238237238236227226231230233220225226224219220218223222224225225220219220218219219222223220219217218215218220220219217214218217216218218217216216217214210212216219220218217217219219219217216216216217216217218216215214213212214209212216217217217217218218216215215214213213210210211209208209214214212214213211211218217219221224225224222223223224225224226227225223224223225223225225224223222221221219219217218219218216215215215216215215214213213214215214213214214214213213214213213213212211210209210206203198198200204204200202205210211212212213212214214212213216216217218221218217217215216216215214214214216215214214215215215214213213216216219218217218215215215217215214214214212211207206212215218218219218217216217216214216219218218218218219221222224219217217215212211213213211214213213214 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257258258255255256257256256256257258259260263264999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217213212212213213212213212213216219218219219220222223224227227227228229231229230230231230231231231231231231230229229228229228229228230229230230229231231232232233231229229229229229228229228228227226228228229230233235235236235235235235235234234233234233233232233234237238240243244247246247247248249250250252253253254254255256256256255250999999999999999999999999999999999999999999999999999999204206203206204202200201200200199197197198199197196197198198199199200200202203202203202203205205206207211213213211210212213214214216217220221221219214210207205198197202203205205207208213217219223224226228232235236238237237235234234233234232231232232233231231234238236236236237236230224230221228231229231226227233235234237231237239238235237233240241241241240238237229239238235235237238233235232229230224220218221220224225223223221221220221219221220219222220219217220218220221221219220219218218220219225220221219217219219220220219217220219221222218220219221221221221218217217219216216211210215220219219220221219218218218218217216216215214213209209211214217215213216212216216218220222222222224224223223224224223225226226226225224225227226225225226225224221221221219217216217218215215213216216214214214213214215212213214214215214214213214214214212210210211209206201200201202203203204205210211213214214215215215215214216218217219220221219218217217215215214213214214216215214214215215214214215213214214218219216216215215217216213214215213213211212211215217216222219221218220217221220219218221219218221223224223223221219219216213214216213213214211211211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256255252255254254255255254254254255255257260264999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212213214213214214214213213215216221222222223222224226228230232231231230228230230233233233233232232231233231231230229229229228229229229230231231232233233233234234233232232231231230229229229228228228229231232234235237238238238239238239238237237237237237236236235235235237239239243245247248248248249249249250252253254255256257257256256256252999999999999999999999999999999999999999999999999999999203203202204205202201200200200198199199199199197196195195195199199201203200203202203203204204206206209211213213213213215214215215216217218220220222223221215209199200208212212215217215219223220224228229233235237237238237236235233236236236233232232233233234233233237235235235236237232236237235232227232231234230233231234236237237237240242241239238240241240240238235235236238236237235236234237236235231228224222220222223225221222222219223223220220220220222220221217218220219219218218218218220216221217216226223222224224223223222219217223223224221223222224224224224224223223222222221216217218218221222222222220220219219219219217217217217215214211211212215214216217219217219217218219221219221223223224224224224223224226228228226227227225226226226227227225225223222222218217218217215214215214213211214215215213213213214215215217216215214212211212212212212212210208208205203204206207208209210213216215214214213214214216217217219220220220219216215216215215211211213215215215215215215215216216215213216216216218216216216216214214213212215212213213215218218218220219218219221217217219220220222222222223224225225225221218219218214213213215216218214212214215 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256255254253252252252253252252252251253254255257258999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220217216217216218217216216217217218220219221221222222223222224226228227229229230230233234235235235232230231232232232231230230229230230230230230234233236235235236236235234233233233233233231231231230230231233235237238240241240241241242241242241241240240241239239238237237238239240243246248247248248249249249249251254255256258258257257257256254999999999999999999999999999999999999999999999999999999999203205206208206204203201200200199199199198197196195195195199200200203200200201204204205206206205209212213215216215216215216215216217218218220223224224225220206202208214217221224222222220224228231234234237239238235237236236235235237235228229227227232231231229230232232231235237243242243241239238234236233241244233240240240241240241239238240237239238239239238238236236238236237235235238238237237235231230227223221224226229228227226224220225225225227226224223223221221218217220222222222221222223226226228227226227220223219223218219223225226224225225225224226226225221223222221220220221218223224222223224223223222221220218218218217216215214212213212213213214215215214217216218219219220222223224225224222223223225228229229228227227225225227227227227227226225223224221219216216214216215213212215215215213212215214215216217216216216214213213215215215213212211211211209209209207210210211213212213213213213215213214217217217218219220220220216214215214213212215216216214214215215216216216217215216217217217217217218218217214213210207213212211215217219218216221220218219221222216223222220225224223222223227225225220223219219216216213216214220216210212216 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256261261259256253252249248250251251252250248247250253254255999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225224226226222221220220220221222221221223224223222222223223225224224225222225224226229230231234234236231231231231232232229233232231231228231232234234233236237239238238236236237237235237237237237236236236235237236235236238241242244243243243244244244243242242241241242241240240241241241242244246249249249248249249249249250252254257258258257256255254254999999999999999999999999999999999999999999999999999999999208207208208207205206201199200201199199202202203204202201201203203204203204205208208207207209209208211214216216217216216217218219219219220222224226225226227219216214212214217221223223220228231236237238238241239235237237237236235236233227227224231231225225228228231232232235240241241243242240236236237240243241245247243240242243243242242241238238238238238234238237237235236237235236236237238236237234233229227226226227229230230231229228227229227227226226219222222223222221223224225224226224228226226228226229228226221217220218219222226226225225227226227228226225222221222220222219222223226227224223224222222222223222221221219218216216215214211211211212212214213214216216218218219220222221223224223223222221224228229229228227226226227226227228228228226226222222221219217217216214214215214213212213215214216219217216215215216216215217215216217216215213213213213211211210210209211213212212214218216216217215216216216217218218220222220217214214214213217216214214213213214215212212217218218217218218217216216215211211214210208210209213212216217220222219219217216219220218216217219217224224226225223226221224221220216217218218216215215216215215215218 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256256252259256257254252250249250251251250249245243246248252259999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233227224225225226225227227226223220223223223224223224223225225226225227227224225223224225226227231231232231232233234233234235234236237235234233233234235237240234239239240240238239238239240239238238238238239239239239238239240241241243243244244244245246245246248248247246245243243244244243243243243243244246247247248248249250251251252252253253257260260259257999999999999999999999999999999999999999999999999999999999999999999209209208208207206203202202203205210208210210209210209210210210212211209209212210209211213212210211214217216217218217218219220220220221224226227227228229223223228223218216219222222223231235238241241242241240239241240239237237232231230228229230230224225227231233233236239239239240240241240241238240243241241242242241241241241240239239238236237239238235236235236234237236237237237237237238235234236234231229227227229230231233232229231233232231229229227224224223224226222226228229227228226228228226227228229226224223222220218217220223226228229229229229228228226227226224221220221223226227226224225226223222223222223222220219216216215214213212212214215213214215216216215217217218219220220222223223223224223223226228228226227227226229227227228227227226225224221221219218217216215215214214213214214215216215216217214214216217217220220218217217216218216217215215215213213212213212213215216219219218217216215216217218218221223224224221218215215214215216217214215215215214217212213219220219218219219219220218217213212212213210210210214214219219220223218218218218217217219220220221221222222225224225226222223225217216219217217219219219216218217217219 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261256254253254251252251252253250249250251251250252244242245248999999999999999999999999999999999999999999999999999999999999999999999999999999240242999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225224225223224227229229230236236234229230227226228228228232230231231230231228229228227227227227229231231233233236232233234234234234236233235235235234234239239240239239242243244242240241241241242239238238239240241242242242241241241243243245245246247246247247247249250250247246244245244245246245245244244245245246247248250250252252253252253253254254255257258258258258258999999999999999999999999999999999999999999999999999999999999211210210209208207204203203207214213212212212213212212212215215216216214215217215216218215214214213213217217220219220219219221221220221224228230229229229228229231230228225227229226230235239241242244243244243243243242240238237233232231231230231226227230230229230235233231233234236234237234235235236238242242240243241242240236237240238239237237237233235234234235236238236235236235237237238238236237236234234228229230230233235234233234236235233234232230227226225229230228225229229231233232230228230231231230229228227225224221222224227227228229229229230230228228229228226225223224226226226225221226224222223223221222223220217216216215215213213214215215216216214215216216217215216217219221221223224224224223222223229227228229227228227228226226226227226224223221220219217217216215214215215215215216216215214214216214215217217218219218218220218217217217218218216213214215214214215214218218218220218217217217217219221222221222225225221217217218218218218218218219217217219220219219219220221221221217216217216216214214214217215216215214217220219220220219220218217220221220220218218222224225223228224223226225224224222218218219219217217219219218220220 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253262260253252252252253252252253251248249251248247245243243247999999999999999999999999999999999999999999999999999999252252253250246252245240243239243246245999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231229230228223224229230231233234233234233231228228229231234235234235235232232234235234233232229230230231233233233234234233235234235232234232235235235234238241240239240242244245247246239242244242243240239241243244242244245245245244244244246246246246247249248250248248249248247246246245246246247247247246246248247250253254255255256256256255255255255256256256256258257256258254999999999999999999999999999999999999999999999999999999999208210210211209208204203206209212212214212213212210212212214216219221225227228225225222218215214214215215218218219220220221221221221221224230231231232232232231233231231230229227232236239241244243244245245245244245243241238237236233232233233234232231231230229231233233236236238237235235236236237238241242240243244243237238238239239237237237238237234236235237237236236237236236237237237237237237237236235235231233232233234236236237238236235235234231231229228229229229227228230230230232231230229230231231231232231230229226223224225227231227229229230233232230231230230225230228228226226226227223225226226224222223221221220220219217216215215215216214216215215215215215217217217215216217219220220222223223223222226228229228229227227228227226227226225223223221221220218217216216216216216215216215216216216216217218216217218219219218219220219218217217217218217216214215215216216215217220220220221219218218216219223222221222222223225221218217221220219219223222222220223221223222220220219219216219217215216216218215217214217212214216217217219219220220221221222220222222219220221220224224225225224226226225223225224226224222224220218218218218221220221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266262259256254254253254254253252250251249248248247245242240243245248999999999999999999999999999999999999999999999249251251251251249247247245244244242243243243999249252999999999999999999999999999999999999999999999999999999999999999999999999999999231227229228225226228228230231234234235235234235234235236237237238238237236238238237236234235236236234231233234233235235234233234230230234234234234236236237242242241242242242242248246246247245244244244245245243244245248249246246246245247247248248248249249249249250250250250250249249249250249248249249249251252253256256258258259259259258258257257256257256257256256255257258261257999999999999999999999999999999999999999999999999999999999209210211211209208206210209211213212213211212211211214217220228229232234228233233232230226223219216216212212216219218221223223223223221224229231232233234230230231230231232231233234237241244244245245246245244245246245244237238237236235235235235234233234232232234235237239238238238238236237238238240241242243245245240243237239242238238237237237234234236237236235236236237235236235236236237238237237237236238237235234233234235236237237236236235235233232232231230231230229229231232232232230230230233232232234234233234233231228227225226227225227229230232233230229228230228230230230228229229227225227228227224222223222221221221220218215216216215216218218218217216215217218217218217217216218219220220221221222224227229228229230228228228227225226225225223222222222221221220217217218217218219219218217218218217216217217217218218219217218219218217216215215218217217216214216220220220218218219220222219220223224223226225224227227228224223216217219220219221222226229224222222225225223219219217215217216216221222219217219219214213215218220220223223223222219224223223225223224225225224225225227227223227228225227227227227226225225225222223223223221222222 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262260257255255255255255255255254254253251250247244242241245999999999999999999999999999999999999999999999245245253246248248245244240238238239240240240239242245245247249246248999255999999999999999999999999999999999999999999999999999999999999999999999228226226228227226228229232235235233234236237238238239238238238237239239239239236235234236237236234234234234234235234233233234233233234234235234235235241246243243243243244247248249246244247246246246247245246250249249249248249247250249248249249249249250250251251252253254254254255255255256256256256257256256256258258259259259259259257257258258257256255255255255255255258262258999999999999999999999999999999999999999999999999999999999999210210208208206207208209210211212210211211211218220227231231229233232231232232232234233231228225218214213212218219215220221222222223225226231234233233232232233233230230234236239242244245246247247247246246248246245246241238239237237237236237235235235234234237238236240239239238238234235237238237239241241242244241242241242240239237236237237235232235234237237237236235237237236237236237237236235236235235237238237234234235232232234237236236236237234232231229229231232231230231232231231230231231231232232235233236235233234229228226225226229229232233231230230231232232233231228230230230229230228229226226225224223222222222220218218216216216217217218218216217215216217217216217217217217218218220221223223225226228230231231229229226226226225225224223222221222222221220221222221220220221220219220220221219217219219218219219219218218218216216215214218218217217215219220220220219220218220222223225226229229231230232229228227225225224217220222222225226225228226225225226227226224224219217218220217217222222221220219219219218219221222219220221222222222223222224224225225225226225224224225227227228227222224226227228229229227224224225226227225225228 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257256253254256257256256257256255256253253251247244242240241999245999999999999999999999999999999999246244245244243240242244241238235233233234233234235235238238240244248247248250250999999999999999999999999999999999999999999999999999999999999999999230225224226229229229230227234233233235236238238239239240238237240241236235236237236237236237237236236237236235235235234232233233234234235235232234237239242244245245243245246244245244245245248246246245247249249247247248249249251249250249249248249250251252253252254254254253254255254255255256257257256256256257257258258260260260259258258256256256256255255254254254255256261261257999999999999999999999999999999999999999999999999999999999206209210209208207207207209210212212211211211211220230228230231232231228228230231231233232232232230226220216218216213215216221220221221224226231237237237238238238237235235238239242244244245247247247246248249249250248247241242241241240238237237236235235234237238237241241241241240239240244243241242243245246247247243242244245241240241241238236235235236237236236236234232232236235236237239239238239238239239239239240239237238239237236236236237236236233234233234231233231231232232232231229230230231233236236238237238238237234231229224224229230231232230229232233233231233232233231231233232233233231231230229229226225223223223221221221218217218217217218218219217216217217217218220218218218220220221221222226227225228230230230230230228229228227227223223224223224222222221222222223221221222221221222221221221223223220219220220221219221220218220221217222220219217216218218220221220220223224224229230232232233234235233233233225225228228224222222226229229227226226225227225227226226226222221221222220223222222221219221220220219222221221221219222224223224224223223226225225227226226226226225226227227226224225227227228231230228227226226227229228229228 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256254252252253257256256255256257254254253252249244242241240242243248254261253999999999999999243243243239240243242241240241238236235233232231230230230230232234237238239242245249251251250999999999999999999999999999999999999999999999999999999999999235233229225230230230232231234235236236237239241241241240240237240243243238235236237238238237238237238237237238237236235232231233234234231230235237239240241242242247247246246245243243247248247246247247248250250250250251251250250252252252250251251250251251252252252255254254253255255255256257258258257257258257258259259260260260259258257256255255255257256254254254255257259263260999999999999999999999999999999999999999999999999999999999208207210211207208207208209213214212212213214213217229231232228231231230227227229231231231232233231231230226221219220216214214219219218221224227233236238237240240241242241241243241245246245246246247247247249249248253252250248245241241243239239237236237237237240242242242242240241240241244245243244245246247247248246249247247247242244242236237236236235236236235236237236233234237236238238238239241240239242242242242241241239240242238236235237234235235234235234234232234235233233233232232232233235235237239239238238239239239237233231227227228233234232232232231231231232233234232233233234234234233234233232230229229228225225224224223221220219219217216217217218218217217217218219220221220221222221223221221222225227230232231232232231232231229228227227227227226226227226227224223223222223222222225225226222226227226226227226223224227226224221221221220217215219220220222220221222222223226229230230234233232234234234234235232230229229227226222223226227226227228226227228226226228227227226223221223222222223221221219219220221218222221222223221223224225225225226226227226226228226226228228227227226227226227226229228229230229227227229229229230230230232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256254251252254257255254254256255255254252252249246243241239239240245250252256999999999999999244241241240238237238239241240241240236235237237230228227228227228229233232235239242246248250250999999999999999999999999999999999999999999999999999999999999235232236229229232232234237236236236236239243241241242241240242241244242239237236238238239239237238238237238240238239237232234235236234235237239240240240241243246246246246246246244246245247248249250251250249250249250249251250249251251251250250251251251251250252253253256256255256257257258260260261260260259259259260261261261259260257256255255255257257258257256255255257260263999999999999999999999999999999999999999999999999999999999999205204210212210207210209211212213213214213214216225236236233231229229229229228228232235231232234233233233231226221220219216218216220223226228230232236237238238240239240242243244246246246247246247247247247249247249249250252250249246242242241241239239239240239240243244244244244242240242244245247246247246248248248246248249249245241240238238238237237237236235237238233234235236237236239238240240239243241241242242242242242241242241240239238239235235236236235235235236237238234234233234236237236237238239240239240239240238237237235231227227228233232232233233235233233233232232232233233235235234234233233231230232231229228227226225224223223221218218217217218219218218219221221221221222223223223224226224224224227230232234234234233231232231231229232231231229228229229229229227227227227228228227230229230229227234233233230232231232230228227230228230229229226223221223225225224224225228228232232235235235230232234233233235233232233233230228224225225227227227226227228229234232230229228228226224224223223221220220220224221220220222221222223224225225225226226227228227227227228226228229229227229228227230228226228228228228229229229229229229231231232231 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277277275999999999999999270999999261259255251252254255254255255254258257256254251248245243241238237239241247256262999999999999999242240239236236235238239240241240240241243239238236232227226224224225226226228231236238241243244999999999999999999999999999999999999999999999999999999999999999999999229230230232233235236239237237240239242242239240240241241241243244241238237236236237237237237236237239238240241240239238239238240239240241240240241242242246247248246246246245245247248248249250251251249250251250251250250250250250250251252250251251252252254255255257256256257258259261262262261261260260261258259262262261260259258256255255257258260258254254257257259262260999999999999999999999999999999999999999999999999999999999999203207210211209209212212213213215216213216218221233238236232229227229230228230229235234233233232232232232231229226223223220226225226229231230232233234237237238240240239239244246248248249248248248247247248249249251253253252251250247245243240241240239238238242244241245243242241238241241241245245245244245245246247247247248246243241242240240241239237237236237237236234234236236234236236236238238239239239241240242241241241240240239239240240238236237238236236237236238239238236236236236237238239239240239239240240240239238237235233232231227227234231232233235234233232232234233233233233233234236236234234234234233232231230229227228227226225223222220220219220220221220223222222222223224225225226227228227226227226231234234236235235233233232232232233233231231231230230229229230229230230231232233233236237237236238238239239238236236237237235234234237237236233232230229228228227228230231231234234234233234232233233237235235238237234233231228224225223226227225224232234234234235234234236229235231229227225223224224223225220221223223222221223225225225226227228228227228229230229229230233234232233234235233231230229230230229230230230230231231232231233232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274276275276999999268268266265262259255255253253254256256255255254256259258256253246243241238236234238244248254999999999999999241243242240239237235238241242240238242243244243241241234237226223223221221223226227231234237241252999999999999999999999999999999999999999999999999999999999999999999999999999230233233235238237237241239241241237240240243243241242243246242240238238237238238237236235238239240240242238237240240243241242240243243242242241244246247248250250248247249247248250250251253253251253251251251251251251251250252252252251252252253254255256256255256257258260261262262262262262261261260260261262262261260258257257256255256257258259259259259258260262260999999999999999999999999999999999999999999999999999999999205206209211211209211210211213213214213216214217231237234234231231231230231230231231236237232234234229228228231231226223224225226227227229229231233237240243242245246246245244247247248249249250249247248246246248249251253253252252250247246246245244242245244244243242241245245243243246245246246246247249250248247248248248249251250246248246241241241239241237238240239239237237237238239239239240240241242240242242242243240240239241240240241240240241239239239238237238239239239239239239240241241242241243242240240240240240240237236235232232230228231234232235236233233233234235235235235235235235235236237237236235235235233232231231231230229229229229227225224223223223222222222222223223225225226227228229229229228228229232235237240238239237234234234234234233232233231234233233234234231232234235236236239239238239241240240242242241240238238237235234237236239239237238237235232230231233234235236236234232233232233232234234238238237236236232233229230230230231232230231234235235236235234234236234237232232229226226225222223225222220220221221220224225225225227227229229228229230230230234236237239237237238238238237235234232232233232232231232232233234234236235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274274277275273272269267261260258258258258257256255254254254253253254258259258256252245242240238233232240999999999999999240242246242245242241242242245245241241237237243244246243242242239241229226222221219220223225227231237242999999999999999999999999999999999999999999999999999999999999999999999999999999999230231233235237240238238239241241241242244242243243243244246242240239238238238237237238240241241242242240239239245241244243242243243243243242244246249249249249250249248248248249250251254254253250251252251252251255251252253252252252252253254256255255254256258258261262263263263263263262262262260261261261261261260259258257257257256256257258259259258259260259999999999999999999999999999999999999999999999999999999999209211211211211212213211210214215210216215215217226240240235233229230231230229229230231235236237237238233230234231230225229228230230231232233237239241244246247248251252251249251250249248250250250249247248248247248249252254254254254250247246246247246247247246245244244244244244244245245247247247247248248249248251249248251248250248246249239240239241240240239239240240239239238238238238240240241239240241242241241241241240240241241240241242244245246244242242241241242244243242243242244243244244247247247244243243243242240240237236234233230231232231233234235235235235235235235235236237237236237236236237237237236236236235234233233233233232232231231230230229228228226226226225225224226227227227230231232233230230231231233236237238239239239237235234234235235235235236237234235233235235236235236238240240240241241241242242243242241238238237238236237239239240239240239238240238235235238236236236236236235234232235235233233240236236237232232234232231231230230231231233234236238239238237237239236236233229228228227226230229226222221221221220222223225225226228228229230230230231233237238239240242239241242242241240240239238237235234234233234232233233233235237 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277277276278275271269266264261260259258258258257257256253254254252251253256257257254250243241239238237232999999999999999999239246243244245246250245246247246244246246241244244244244241242239241234232229222216219221222225232242999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232234236239239240238237239241242243243242243243245244243241239239239239238237238240241241240240243244244243243245244245245244246246246245248248249249250251253250250248249249251254254253252250251252252252252252252252253251252253255254255254255256258259260262263262262264264263263263263261261261262262260260259259257257257257258257257257258258260261263999999999999999999999999999999999999999999999999999999211213214212212211213212213215217216212217215216225236240239236232230231232233230229229232236238239236237235234233232230231238235237237239242242244244246248249250251252254255255254255254253250251250250249249251249250253254254255254254252249247246246248247247246245245244245244244247247244246246247248247249248249249251249249249250248247249244243244241241239241241239240240240239240239240241240240239240241241240239240240242242245246248249247247249250247248247246245246246245245245245245245246248246246246246246246246243243242240237236231229230228229233234233234234235235236237238238239238237237238237238238238238237236236236236235235236235235234233233233234232231231230231230229229229230230231234233234233232233232234234236237239240238239238238239238239236236235236237235234234236236239239239241241241243243242241241246243241240240238236236236237238237240240240239240239240240239240239238239238236236237235236234236237234237235235233236235232231230230226230231234236235236239240237239241241238235233231230232231229229227223223224224224225225222224224228228229230232233237239240241242243242241243242241241240242240242240238237237235234235236234234235238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274276277276274271268266264261260260260258258256256255256253255253251252255255257255251247244241242241239238248245244243244244245246248249250249249252250252249252250250247249244243242244241242243237233228218215221221226234243241241999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233234237237239237237240242243243244243243244246244244243240239239239239239236240241242242243243241244245245244244245246245245244244247248250249251252255256255254254253249249254255254252252253253253253251252253252253252253254255254254256258257258260262263263264264264264264263263262261261261262261260260260259257255255257258257258258259260263263999999999999999999999999999999999999999999999999999999999212215214212212215213214219218219220221221221229236243241242238234232233232234234233231233234234239235236236233232233234233238240242244246247248249248251253253252253255255255256256256256255254252251251251252253250252253254255255255255254251250247244248247245245246246246245246246250248248249248248249249251250250249249250250249249250249250247245244243240241240241241239240240240240240240241241240240240241242242243245247248248249251252250252251253254253250251250250247250251251249246245247249249249248246250248248248246245243240239236232231231228231233232232234235233235237238238239240239239239240239239239239240239239238238239239239239237237237236237237236236236235234234233233233233233234235237235235235235235237236236237235237239240239241241241241241239236236240239238238239239239241241242242242242244244243244245245244242241240239238236237236236238241238239238238239239241242241240241241241239240239239238235237238235241237236234237235233229229226225228231234236234237237242239241244242239236236233233231232230229230227227228227227227227227228229230230232234236237239240242244245243244244246245243243243242243242241239239238237238236235235236238239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278276277276276274273271269266262260259259260256256255258255255256255250250252253252252248244244240241242244246249250248249250250251251250249249247248249249250254252253251251250249249247247242243242240235228219214218223230236237235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234237237238239240243243243244244244247247247244246245243242240241239239240242241242242242243244244244243244245246245245246246246247251253254256257258258252254254252252254255253253256253253252253252253252252250250253254254254257257259260263262262262263263265264264263264263262262262263263262259257260259257255255257257258258260260261263999999999999999999999999999999999999999999999999999999999215217212214213213217217217219217219219221222227231242244242242239234236235233234236236234234233234242241239239235236235240243245247247247248250250254253251254253254254254253254253255256257257257255255252254253254254251252254256256255255254253251248246246246247247247247247247247246246248249249248249249249250250250250250248249248249251250250252250245245243243243242242241241241240241240241241241240242242244244244248250250251252252252252252254253254254253254254253251250253252251250249248251251250249248250250249250249248246239238240237234234232230230233232234233234237237238239239240240240241242242243241241242242241241241241242241240240238238237237238238238237237237236236236236236236236237239239237237237236236236237237237237238240241241240240241240241242241241241241242239240242242241242242243244244245244245245245246246245243241240238236236237237239240239237239237239240242242241242241243242240240240239237237237240241240239237237238234235230229229230230233236241239237239242243245245244239238237235236234235231229231230230230228230229230230232234235236238240240243242242245246246246243245245245243241243245244242241242240238238238240240238238238239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277275276276275276273270267263261257257258258257256255256256256255252249253252252251247246243240240241244247249251252252253253252250248247248247247248250250250250250253253249248247250249244247243242236229215215219222226231244999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232234237238241239241242244244243245247247248247248246244242241240240241242243242242242242243245244244245244246246245245247248250250255256258258259259259255257257256253253252254257254254253254255254253252252253254253255254255258257259261261262264264264263264264264263263263263262262262263262259258260259256255256257260259261261259261261999999999999999999999999999999999999999999999999999999999222221219217216217216214216218223225226229230233239245243243242242237238237235235236237236235234234240241240242236236239246249250250250250252253253254254254253253254254253253252252253255255257258257256254254253255255252252254256256255256255254252255252250250247248248249248249247248247249250250249250249248250251250250251251251251253253250250252252250247244243244244243242241242242241241241241241241243245247249250252251251252253254254256258257256254254253253253253253253252251251249252251251249250248249249249251250249247246246243241238235234232230231233232233234237239239238239240241242243244245245244242243243242242242243243244242240239237238239238239239239240238239239237236235237238239238240238238239239239242241240240239239239239242242242242241240241241241241241242242242242243243241241243244244244245245245246245247246247245243243242240241239240241240240239240241240240241242241241240243244243242243242240237240241241241238237236238235235232232234231232235237238240242244244244244243244242239238238235236235233231233232231232231232232234235236237240240242243244245245245246246247246245245246245245245244244244244244243243241241241241241242242241241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275275276276275275275268266265260260257256256256256255255255255255252248251251250248247245242241238243245247250253253254255252252251250248249247247248250251251251251254253253249249251249247247247242243237224213216218223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231236240240241242245244243243245247245248247247247244242241240241241241240242242242242243245245244244243246246246247249252252255257258259260259259258257258255256255252250253255257256255255255255254254256256256255254255256257258257261260262264265264265264263263262263263262263261262264263263260262261258257256259260261258260261263999999999999999999999999999999999999999999999999999999999999224222221218218221223221224228230233233235237237243247246243244244243242241238239239239239239239240242241240242244246250252251252252252255255255255254254254253253252253251250251251252255255257257257258257256254254256254254255256255254255254255255256254253250249248248249249249249250249249250252253251251251250251251251252253250251251252252253252251252249248246245245244243243243243242242241242243244247248251251251251251253254254254255256257256255254255255253253252253252250250249250249249249249248248250250250250250248245245245240239235235232231228228231234234237239239240241241241243245246246247246246245246245245245245245245243241241241240239239239239241241240240241239239239238239240241240240240240242242242241242241242241242240240242241243241242241241241242241242241242246245246246245244244244245244246247247247247246246247246246243243243242239240240239240241241243242242241242243244244244244245242241242241237237238237236237236238240237236237236232232234234237240241244245245244245245244239240239238236237236235235234234234235234236237239240241242243244245246246248247247248248247248247247246246246248247246246246245244244243243243242242242241240242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271277276273270274271269263265263259257252253252254254253250251252247248248247247245241238233234236244248249252253254254252252254253252250249249251253254253255255256254253252252250248245245244242242238229217216220223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232235237240243245245244241244246246246245247247246243242241241241243242243243243243243243244244245244244245245247248253255257257259260261260258258257256256257257255253253255257256255256255255255254256257257257256256256255256258258260262263265265265264265262263263263263263262263263264267265261260259260259259260261262260262262258999999999999999999999999999999999999999999999999243243241999224225222220222221222221224229228231237237237241246249248246245244244244243241242244243245244246246246244245246250253254254254254256257256257257255256255254254253253252251250249249251251255256256257258257257255254255255255254256256255255255254256255255256251251249249250249249250251249250250252252251250250251251251252252251253253252253254254253255253252248248247245245244243244243244244244245246248251251252252251251251252253254255256260258258257256255254253253253251249250250248249248249249249249250250251250250249251250248248245241242240236233234232233234236238238240240240241244245248248248249248248247248247247247246246246245243243242241241241239238241241240241241241240241240242243244244243244244244244243244243242243242241241241241242243243242242242242242242242242243245245247246246245246245247247246246247247246245246247248246245244245243242243243241243242243242242243244245243246246245244245246245243243237238240239238238237240236240239238233233234235235238238243245245245245245245245243239239239239238238237237237236238238239241242243243244239239247241240241242242244249249248248248247249247248248248246246246245246245245245244243243242242242244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279282281279275268270268268266257259254249251253253252249250249249247246244243241239236232230237244245248251252253254254252252252252254251250249250251251251251250249251253252246248246243243242241239229225219219224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235238242242243245242242243247248247247249249247245245245245245246244244246245245245244241244245244246245245249247254257257259260258261260259256256259256255257257257255256258255257254255255256257258256256257258256257256256258259260262260264265265265265264263264265264264265264264264266266262260999261261261262263262262264264262999999999999999999999999999999999999999999999238242242240234229227226223225225231230225229233236238236240244244246250249250247246247248246245248247248248247251251253254254253255254257259258260260258257256256256256256255254253251251251252252251252253255256256255255256256255255255256255257255254256255256257256257256256251250250250251251252252251252251251251250250251251252252253254255256255253254255256254254253252252250249248248248246246246245246247249250252253253253251251251250253254254256257257260255257257256255255254253252250251251251251251250250248248249250249251251250251249249246245242243240239238235234234234235238239241242242244245246250249250250249249248249248249249247245245249246245243244243243242241241241242242242242241242244245245247247248247248248247246245244244244245244243242242242243243243242243243243243243243244245246248247247246246246246245246247248247246248247247247244246247245245245245246245245243244243244246247249248246246245245247247245243240240241241241242240238236237236237235235234236236238240240243245242241242242245243244240241239239239241239239239240240241241242245246246238240247248248247248249249250250249249250250250250250250251249250248248247246245246246245245245244244244245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288279269267274274999256258256255251253252252251251250251247245244242240238234235230240241246249250250251253253252252252252252251251249248250250251251249250251250249251246243240238236235238227224218220999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234237242243243244242242246249250248249250249248245246247248248248248248248247245245246245245245246248247248251252255257259260260259259261259260258257257258258259258255256257257256255256256258259260260259256258259259259259260260261263263262265265265266265264265265265265265265265264265264264999999260264264264262263264262263999999999999999999999999999999999999999999999240242240242237232230230231233236236235232232234237239239240246244244248250252252251249250251248248251252253253253253255256256258259259258260260260260260258257257257256257256256254252251251251253253252252252253254254255255256256256256256256257257255256256257258257258257256255253250252251252253253254254254254253252253254255254258255253254257255255255257255256256256254254254253251249249250250248248247248248250250252253253252252251251251251252253255255257258258258258257256256255254252253253252252252252253251249249250250250252251251251248248246245242242241242240237235236236237239241242243243246246248250250250251251251250249249251249249249249249247246246245243243243243243242243243243243243245246249250250250250252251251250249248246245244245246244244243242243244244243243244243244244245245246248249248248247246247247247246247247247247247248248249246247249247245244244245244244243244245248249248250249247245248247246246246243242240241242242241240239237240236236238238235238239241241244244241245245244244244244242241242240239240242242242242242243243244246247247248249248248248249248250252252252252251252252252252251252252251249249249249247247246246248248247246245245245246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262261260255254254251251251251252250250246242242239237235230234242245247248249250250250251252252251251251251247247248251254253253254256255255255251248246244238236236227221218221221229233999237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235239242244244242244247249250249250251249249248247247248248248249248249249248250248248246246247247248249251254258259259258258258258256259259261258257261259259259257254256255258258257258260261262260258257258258261260260261260263266266266266267266267266265266266266265265265265264265265264999999999264265265265268263261999999999999999999999999999999999999999999999999243241241241236233232231229236238236237237240240240243242241248242245248251253254254252252254252252254255254254255256257256255258259259260261261261262261259257258257257257257257255254252251253252253251251251252252254255256256256257257257258258257256256258258257257257258257256255252253254257258259259260259257257256255255255255257257259260260259258258259260259259257257255254254253252251250251250249250249250251251252252251251252252253253253254255257257257258257256259257256255254253253253252251250249250251252252252251251251251252252252251249250248247246246244242241238237238239241242242243244245247249250251251251251251251252252251251251251249250249247246246245245245245245245246247246247247248248250252253253254255254254254253251250249248246246246244243243242243244244243244244244244244245246248249248248248247247247247247246247247248248247248246246248247249249247244245245245245247247247247248250250247248248249248247247245242240241241243242242240241240240239238238238238239241241244243247244246246245245244242242242243241243244245245246245245246248248249248248249249250251252252254254253254253253252252252253252252252253252250250249250248248248249247248246247247247248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258260257257257256255256250254254253251246246245246239239234234239240246247249249248248250250250250250252249248247249249250250252254253257253253249247243242238233230221223220224230232999999999999999999250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236240243244244245246248250250251251250250249249249248249249249250249250250250250248246247248248249250253257260259259256259258259258256257258258258257258260260259257258259259257258259261262261260259258258258260259257262262264266266266267268268268268266266266266266265264264265266266263999999262265263265268267999999999999999999999999999999999999999999999999999999241239239240236233233231228239240241241242242243245245247248244243247248251254254255253253253253253256255257255257257258259259260260260261262262262262261260258258258257257258257256256254252252252252251251251252254254255255256258258257258259259258257258258256256257259259258257255258259261263264264263262262260261259259259259259261262263262262262263262262262261259259258256256255254253253252251249249250250251252252253251251252252252253253252254255256257259258256259258257255254253252251250248247248246247248249252253252250249251252253253252251250250248247247247245243240240239241241242243245245245247249250251252252252251252252252253253252252252251250249248248248248249250251252252252251251251251252253255256256257257257257256255254253252250248247246245244244243244243244243244244245246246248248249250250250249249249249249248247247248248249247246245247250250250250249249246246247246248247248249249248247248249249250249250248245245242242243244242242241240241243237236239240239241241239245247247245247244244246244243243244245246247247248247247249249249249249249248251251252252253254255255255254254254254254253252251253252252252252251250250250250249248249248247248248249248249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257265262261262261258257255255257255252253251253249999999241239235236238242245247247248248248249249249250251250249251249250251252254252251253253252248247247249241238232225222226230231233246999240241247246257253251999254251999999999999999999999999999999999999999999999999999999999999999999999999999237241245245246246248250250251252251251249250251249249250250250248251251251249248248246250249252253256261261260260260260253255259258258258260259257259259260260260260260258257257260261260260260256259259259258259261262263265266266265268268268268267265266268267265265263265266266266265999263263266266267999999999999999999999999999999999999999999999999999999999999999240239236234235229231235239241243244245246246247246247244243247249253253254254254253253254253253255257257255257258258260260261261261261262262262263263262261260258258258259259258258258255253252251252252251252254255256256256258259258259260259259259260260258258258259259258259261264265267266267265265265263263263262263263263263264263264265264267264265264263263262261260259258256255254254254252252251251250250253254252253251252251252253253253254254255258258257259256256257255253251250249249248248248247247248249249250252251250250253253254252252251250249249249248246245242241241242243244244245245246247249251252252252252253253253254254254254253253253252251250250251251252253253253253253254254254253255255256256257257258258259259258256256255253252250248247246244244243243244244245245246248249249250250250251250251250249250250249249248247250250249249249248250253251252251250250247247248247248247249249249251250250251251250250249248245242243245243243242242242241242241238239241241243242240242247248247245245247247246246246247248249249250250250250251251250251251251253253254254253253255256255255255254255255254254253253254254253253252253252251251250249250249249250250250249248248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253255269263265264262261259258261258256257256999999999999999244240237240240242243244244246245246246248249247244248248250250251255252252253253254253252251251254250245240234227226232232235236240241241244247252253255251260256999999999999999999999999999999999999999999999999999999999999999999999999999999239243244245244249251250250251251252251251250249250250250249252251252252251249251250251254257261263262259257261262260260259260260259259261261259261261261261262262260261262259261262261260259261260260261260261260260265265266266267268268268267267266266266268268266265266265266265265263265266268272999999999999999999999999999999999999999999999999999999999999999999238237237234234229232236239242243244245248245244243246242243251252253254254255256256257255255255257258258257260260261261260261261261261260263263263263264264262260260260259259258259259259256255254253252253254255257256256257258260260260261262261259261261262262262263264264266268269270270270270268268269268268266266265266265266265265266266264266266266266265264264262261260259258257255255254254254252249248250253253252251250249250249250251251251252254256258258260260258258254252251250249249248249248248248248248247249250250250250251253253252252251251250248249250249247245245243243243244244245245246248249251252252252252253253255255256256255254254254253252252252252253254254253253253254255255256255256256257258258258259259259260259259258257256255252251247246244247245244245246245246247248249249250250251251251250249250250249249249250250251252252250251251251251250251252250250250249247248249250250250250250250252251251252251251250246246244244244243243244243243242242241240241242244244241241247246246247249248247248248250251251252252249252250252252252253254254255256256256257257256257257256256255255256255254255256254254254254254253253252252250251250250250250250250251250250252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265275271262266266264264262260262260260999999999999999999999999999242241241241245245245245243243245246245246245245246248250251251252255255254256252253252253252248247246239236234238235232234241243246248250246251251251252251999999999999999999999999999999999999999999999999999999999999999999999999999999999241245244246251252250251251252253251251252251251252252251253252252252253252253255255257261261262260262260262261257260260260260260260260259260261260261262263264264262263262260261261261260262262262260260261261263266267267266266267268268267268268266266268267267266267266265265265265265266269274999999999999999999999999999999999999999999999999999999999999999999238235237227234233232233239240242242243242242244243242251248252255255252254257258257257257257256258259259260261262261261262261262262262262264264265264264264265263262260259259259260260260259258258257257257257258258259260260260259259260260262265265264265265265267266267268270271271270271270271270270270271270269267266265266268267268268269270270269270270268268268266265265264262259258256257256255254252251252254252252253252252252252250251252253254255255258261262261260257255252251250249249249248247247246247248248249250250250250251252252252253252253251251251251250251250249245244244244245246246248249251252252252252253253253256258259259258256255254254253253253253254254254254253254255256257257257258258259260259259260260258258259259259259258256254253251248248246246246246246246247247248248249249249249250249248249250250251251252253253254254253253254253252254253252253252250252251251250250251250251251252253252252253252250251251249248245246243244246245244244241245243242241242242241242243246246248248249250249249250251252251252251252252252253254254255255255257257257257257258257257256256256257257256255254255255254253254254254252252252252251252251251251250251251252251252252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280273275261265266265266266265263264263261999999999999999999999999999999999239244245246244243243241243242241243242245248247248249253254253251251252252252253254253251248247246244240239239240240243243247248242246247249250255248253248248999999999999999999999999999999999999999999999999999999999999999999999999242244248248252253253252251252251252251251251254253253253250250250251251255256257256259261258260260259258260259258260255256257258257258262259262261262263263264264262261261262261260261260263263262261260261263266267268267266266268268269269268268269269269268267267267267266266265265267268268999999999999999999999999999999999999999999999999999999999999999999999999236234231241233234232236240242242244241243245245252251253252254255255258258258258258259258258260261261264263263263263263262263262262263263266265265265265265264265263262260260260261260260261261261261261261261260261261261261261261261262264266267267269269269270270270270272272272272271270270271271271271271270269267267268270270271270272271271266269269268267266266266266265264263260259258257255256256253251252253254254252252251252252253252253254255255258263262262261259256252250250250249253248248248247247248249249250251250251251253253254253253253253252253252252252252250249248247246246247248251252253253253253252253253254259261261261260258255254254254254253254253254254254254254256257257258258260260261261261261259258259258258258258261260259257255253249248246246246246246247248248249247248248248248250250251251253253254254255255255256257255256255254255254253254254252252252253254253251251250251252253254253253253252251251250251250249248246247247246246244243243244240243243244244241243245245247249251251252252251252252252252253254254255255256256257257258258258259257257258257258258257257256257256256256257254255255255254253252251252253252252252252251252252252251253253252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271264261264266267266266264265264263999999999999999999999999999999999999999999999999999999999999999999238236234237239245246247253252252253253254253252252253253256257253253247250247244241241243244244243245243244245244247250248999251999999999999999999999999999999999999999999999999999999999999999999999999999999244245247253252253254253249249250250250250254254254250253252251252254256258258257260261261259263261260261260258257255255259259258260263262262261262263263264262262262261261261262263263264264263264263261265266269269268266267268268269268268999999269269269269268267267267268266267267269999999999999999999999999999999999999999999999999999999999999999999999999999233233231234231232234238244245245247246246247250252253256256254258258259260261261262261261261262262262263263264263264264263264264264263264265265265266265265265267267266264262261261261261261260261263263263263263262263263261262262262263267268269269270270271271271272272271272270270270270271271271273272271270270269269270270271271272272271267267268268267266265266265265265265263263262262259258257256255254253255255254251253253252252252253253254256256258262262263262258256253252251250251250249248248249249249250250251251251253253252254254254254253254253254254253253253252253252252252252252253255254254254253253252252253256260261261261260259257255254255255254254254254254255254255258257258258259261262262263263262261260259259257257258259259260259257254251248247246246246247247247248248247248248249250251251254253256256256255254258256255257254255253253254253253254253253254254254254253253253252253254254255254255255253252251250251252251249250248248246248247245246244243244242242242244245245245246248250252251252253253253253253253254254255255256256258259258258260259259258258258258258258257257257257257257256255255255255254254253253253254254253253253253253252253253253254252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262262265265267267265266271999999999999999999999999999999999999999999999999999999999999999999999999999999999229237242246251253254257252255254255255252254251251256253254250250251249246242243242240240240244241242242243245248250252257252999999999999999999999999999999999999999999999999999999999999999999999999999245247253252256257250249253254255255251252253253254254254254255255256256257258261261263262263262263264264263262259257261263262262263262261261262262262263264264262262263263263263264265266265266265266266266267267267267266264267999999999999999269270270270269268267268267266267999999999999999999999999999999999999999999999999999999999999999999999999999999999234236235232233235236241245245246248247247250252254256258256258260261261261260262263263265264263262264264264264264263263263264264265265263265265266265265266266265267267266265264263262261261261262262263263263263262262262262264264264267268268268269269270270271271271271270271270270271271271271272273272272271271270270270270271272271269269267266265266265264263262263264265264266265263262262261258257258257253253256252252252252252253253253253256257256257261261262260257256253251250249250249248249250250250250251252252251251253253253252255255255254254254254253254255254255256255255255255255256256256256255253253253253254258262262262262261260259257256256256255255255255255255257258258258259260262262263264265264263261262261261260259258258260260260258256253249248246246245247247248248248248248250251252253255256255257256256254254255256254255254253254254253252251252253254255255253254253253253254254255254255253254254252253253252251252250250250249248248249247247245245244244243243245245244246245247247250250251252253253253253254253254254255257257257258260259260259259257260259259259257257257258257257257256256255255254254254253253253253253254253253253254254253253254253254253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274276272271272273273272274999999999999999999999999999999999999999999999999999999999999999999999999999999999230233239246248250252252251252253255256256256256256255257254253252251252249247242245243238240241241239239240240245249250258253999999999999999999999999999999999999999999999999999999999999999999999999999246247250250250255256251254254256252252253253254254256256256257256256257258259260262264262259259261264263262259260260262263264263264263262262261264263264265265262265265264264266270269268268265266266267268267267268265267267999999999999269268270271271269269267270269269270999999999999999999999999999999999999999999999999999999999999999999999999999999999230234234236237238238239245246247249249250251252253255257258258261263262261262263264264265264265264263263263264266265265264265265266266264265265266265266266267266265266266266266266266265263263263262262262263262263264264264264265266267269268269269270269270270270270271271272271271271271271271271272273273272272271272271271270271272271270268266266265265264263262262262262262264265265264263263262261258257258256256256255255253253253252253253254254256256257261263262260258256254251251251251251250250250250250251251252252252252254254254254255256256255254254255255255256256256257258257257257258257257257256256255254254254255261263263263263263261260258256257257257257257258258259261260260261261263264265266266266266264263262263262262261260259259259259259257254251248247246246247247248248248249250252253254256257257255255255255253253254255254254252253254253253253253255254254254254254254255253254254254256255256254255256254254253252252252251250250249248248249248248249248245246246246246245246246245247249251249251252251252253253254254255256257257257259259260262262262260260259260259259258258258256257257256256256255254254254253254254253253253253254254255255254255255254254254254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272278272273273273999999999999999999999999999999999999999999999999999999999999999999999999999999999236231235237245249251252252252253253257257258258258258258258255255253254253252248245245243241241241240238236238239243248250250999999999999999999999999999999999999999999999999999999999999999999999999999999999246248250252256256257256255257256252253254255256256257257258257257256255258260259261259259261263263263264263262263262263264262262263264263263263265265266266266270264267270266265265265269270268269269268269269269269269270999999269269270271271271271268268266270267999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229233236238239241239243244247248247249252253253254256257257260260263262264262263264264265264265266266264262264265266265266265265265267266265265268267266267267265265266266267267267267267267268267266265266266265266266265265265267269270269269269269269270271270270268270270270271271271272272271271272272273272272272272272270271270271271269267265266264264263263263262263263263264264264263263264263261261259259260257255256256255253253253253253255256257256257262262262260259255254253251251252252251251251251251252252252253253253255255255255255255256255254256256256257256257257258258258257258258258258257257257256256255255257263263263264263263261260259260261261262262262262262261261261261262263265266266267267266266265264264264262262261261260260260259259257255252249248248248248248249249250251253255256257257257257256257255254253254254255253253252252253252252253254254252252254254253255254254254255256257257258256256256256255255255253253253251251250250250250250248249248248248248248248248249247247248250249251251252252252253253253254255256257258258260260261262262262261260260260259258258257259258257257257256255255254254254253254254253253254255255255255255255255254255256255255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235235239242246249251253251251256256257258259258258258258259257254255256254252251248249245243241240239236235236239241244249254259999999999999999999999999999999999999999999999999999999999999999999999999999999246246248250252256257257256257258256256254256257257258258258258257257255259260258258259262262264264266266266264264263262262262264264263260262265265266267268269269268269269269270269270270272272272273272272271270271271271273999999999269269270270270269268999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232233234240243245243243246248251251250251257256257257259259260260262263263264263262265265264265265265264265264265265265265265264266265266267266268266267267267266266266267267268268268268269269269269269268268269269269269268268269270270270269270270270270270269270270272271271272272273273273272271272272272273272273272272270271271270272270268267265264264264263263264263263262263261262263262263263263263261259259259257256256256255254253253254255256257255257262263261259258257255253252253252251251251252252252252253253254254255255256256255256255256256257256256256257257258258258258258258258259258258258257257257257256256259263264264263263262261261262262262263263263263263262262262262263264264266266267268268267266265265265264263263263262262262262260260258257253251249248249249249250250251254255257258258258257257257256254254253255254254253253254253253253252253255255254253253254253255255255255256256255258258257258257257255255256254253253252252251252251250250251248249250250249250250251250249250251252252252252253253254253254254256256257258259259261262262262262262262261260260259259259256258258257257257256255255255255254254255255255255256256256256256256256256257258257257256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237239243245246247251253250255256253254257259259259259259259258257258255256259258256254248241243239236237234234235238999246999999254999999999999999999999999999999999999999999999999999999999999999999999999999246245246250253255257257258259258259259257257257258259259257259258259260259260261259261263265265265266268268266265263264264264264263260262262266266267270270271269269270270271271270273274274274274273273272272274272271269273999999999267268268265999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233232233239241246247247251252255258256254254257259261261260260261262264263263266263265265265265264265265266266265265265265266265265265267267267267267267267267267267267266267268269269268270270270269269268268269270269270270270270271271270271271271270270270269269269270271270270271272272273272272273274274273273273272272270271271271271273273270266266265265264263264263262263262262263263263262262265265265264263261260260259256257257257257258257258258258257259262263263259258258257255255254253252252252257252253253254255255256256256257257257257257257257258257257257259259259259260260259259259259259259258258258257257256257261264264264263262262263263263263263263263263264264263263263263264264265267268268269268268267266266265264263263263263263264264261259258256253251250250250249250250252255256258259260257257257257257256255255255255255255255254254254253253253254255254255253254255256256256257257257258257257259259258258257255253253253255254253252252252252251251251252252252252252251252253252252253253252253252252253254254253254256258257259260261261262262263262263262261261261260259260259258258258257259258257256256255255255256256256257257258257257257258258258258258258257258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261262259256252999999240243243244243246250251253252252253253254257259258259261260259259255258257257260258254257254249247242238238234233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246245247250252252254254256258259259256258258257259259259260260260261260258261262261262265266267266268269269267266266264263264261260260261264266267269271271266269267269271272273273274274275272275275276274272272273273273275999999999268272271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236236235240240242246251253253256256261260257257258260264261261264262264264263263266262264266265265264265266267267266267267269268266265267266267267267265266266266267267267266267268268268269270271271270269270270269269269270270270271271271271272271271271272272272271272274273271271272273273273274273274274275274273273273272270270270270272273273270267265265264264265264264263262262263263264263262263263263265265265263262261260259257258258258259258259259259257260263264263262260261260258256255255255254253253254254255255256256255256257258258257257258258258259259260263264266267267266266266266264264263262261259258258258258258261265264263262263264264264264264264264264264264264264264263263264265266268269269269268268267267266265264263263263264264264263262259258255254251252251251250251253255257259259258258257257257258259259260256256259258258256256255253254253256256254255256256256256258256256256257258259258258259259258258256255255254254255254253252252253252252252253253253255254253253254254254253254254254253254254254254255255256257258259260260260263263263263263264263263262262261261261260259260260258258258258257257256256257257258258258258258258258258258259259259259260259260259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264263260261260255253250243241241245247244246248252252254253253253255258258260259259260259260260256260258256256261260256256252247249245242235235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247251253253253255255256259256258258259259257258258257260257259260260260261262263264266266266267267268269268266265265264260260262262263265264267267265269266269269271271273274274274276276275275276277277276276275275274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236242235242241245249252254255257257261263257259259259262262264263264264265264266266265267267266265265265265266266265270269270267266264267270269266266266266268267265266265265266267268268269269270270270270270271271271271271271274274274272274274273271273273274274274275274274274274275273274274276276274275274274274274274273272271272272273274270270267265265266266265265263263264262263262263263262263262263264265265265263262262262259260259259259260259259259258261264264264263261261261261257257256255255255256256256256256256257257258258258259258258259259261264267269270271271271270270270270270269269268267266263262260260259258260263264263263264264264265265265265265265264264264264264264264265266268269269269268268268268267265264263262263263265265263263261259257256255253253253252253254255258259260259258258258258259260260259259258259259259257257256257255257257258255255256256255255255257257258258256257258258259259258257258257257255254254255255253253253253253253254254255255256255255255255255256256255256256255255255255255256257258259259260261262263264264265264264263264264263262261262261261260260260259259258257257256256257257258258258259259259259259259259259260260260261260260260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267268265265262259260256253251250248248248250248248248247251254254254252253258257258259259257259258257256259259259260262262261260256251246248247243241246253999252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246245250254254254258257256258258256260260256254259260259257260259259259261262263264264267266268268267268268266268266265265264264263263263262263266266268269270270270271272274274275277278277276276276277278277276275274271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999237239244240244242247243252253252258258260261264263262261261264265264267266267266267270269270268270270270271269267269271271270273267270266265268267267266266265266267267267267267269270270270270270270268269269269269270272273272273274274274274274273274275274274275276276276276277277277278277277277278277276276274274273273273273272272272272272273271272271271269268267265265263260261260262262263262261262261262263264265266265265263263262261260260260259259260259259262264265266264263262262263261258256256257259258257257257258258258258259258258258259260261264267270270273269269271270272272272271271271271270270269267266264262261258260263264264265265265265266266267266266266264264264265265265265266268270270269269269269268268266264262262262263264265265264263262259258258256254254254254254256258259260259259258257259260260259261260259260259259259258259259257258259258258257257256257256256258257256257257257258258258259259259258259259257256256255255255255255256256256254255256257256257257257257258259259259258258258257256256257257258258259260261261263263264264265265265264263264264263263262262261261261261260260259258258258258258257257258259258259259260260260260261261261260261261261260261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268269269267265263261259257257256255253253252251252251250248252252253253253254255259258258255258259257258258260260260262261264262264264261257254251251245244247253249264999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248248252255256255255257257259259260255259257261261260261259259258261262259262263264266268269269270268268268268267267267264262262262262261266267265265266268271271271273272272271276277277276275277278277277276275273274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243243244245244248247254256255259261259261262265265265266266269271271271270271271271273270273273270272270270270267266266269270270273272271271270270269267267267270270268267268268269269269270270270269269269270271271272271271274275276277277277278277278278278278278278278279279279280280280279280279279280278277275271271269274273273272272272271272272274271273272269267266265263263263262262263264263264263263262263265266266267266263262263263263263263261262260260259262265266266265264262262262262261259258259259259258257258258259259259259259259260262264266270270271271271272272272272273273273273273273273273272271270269267265263261260262264265266266266266267267267267266266265264265265265265266268270271270269270270269268268265264263263264264266265264263260259258258257255254254254255256259260260260259259259259259260260259261260260261260260260259258260260259259259259258257256258257257258258257258258258258258258259259260260259259258257256255255256258257258258257257257257258259259261260260260260260260259259258258257258258258259259260261261262263263264265266265265265264264264264264263263263262262261261261260259259258258258258258259259260260260260260261260260260261261261261261261262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270269269268264262262262263261259258255254252253253251251251253254256254255255257257255258261259258258260260259261263263263265264267264265261259259255250249251251254263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247249253255255256254255254259259258256257257258258257257258259260260261261262263265268269269269270270267271269268267266264264263263264266267268265267267267272271273273274273275273277276276278278279277275275276273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243245243245250250250251252257255258260261261263266266266268269273272273273273274273273274273276276274276275273274274273271272271273275273272272271272272268268269270270270269270270269270270270269269270270269271273273273276277276278279278279280279280279278279279279279280281280281281280281281282281280281280278274273273273274272271271271272271271272274273274274271268267266265265265264264264264264263263264263263265266266266266265265265265264263263263261261261260263267267267265265264263264263265264262261261261261260260260259260259259259261263266267268269270270271272272272272274273274275274275275275274274273273272270268266264263263264265265266266266267267267267266265264264265265265266268270272272271270270270269269267265264264264264266266265263262260259259258257256255255256257258261261261260259260261259261259262262261261261261260261259259260261260260260260260260259259259259259259258258259259259259259260261260261261260260259257256257257258259259259259258258258259260260261261261261261261261261260260259259259259259259260261261262263263265265265266267266266265265265265265264264264263263262262262261261260259258259258259259259259260261260261261261261262262262262262262261261262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271273272271271268263263262263261263261260257253253254254252252252255255255252256256257255257259259261262259260261261262261267267268267271270270265265266259254253253252254257999999999999999999999999999999999999999999999999999999999999999999999999999999999999999249249252256255254255255254256258258258256256258259260260260258260260260261263265267269268269268269266267268268267267265266266262267266267269269269270270269270272273274275276276277277278278278277277277275274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244243244251252253254258261259260259260263264267267270268269270272273275277276276276277277276276277277277277275275276276275277274276275275274273273274273271271271271270272272270269270270270270270270271272273274276275276278279279279279279280280280281281281282280283280283282281281282282283282283278281277282278274274274274275272272272271273271273274273272275274272272270270266268266264265265264264263264263264264264265265266266267266266266264264262262262262261262266268268268267266265264265266266265264263262262262262261261261261261262263264266266268268270270271272273273273275276275275276276277277277276277277276275273272270268266265264265264266266267267267266266265264263264265265266268270272273272271270270270270269267265265264265265266265264262261260259258257257257258259260260260262261261260260260261261262261262262262262262262262262261262262263261263261261261261262261260260260260260260259259260260260260260261261261261261259258258258258259259260259258258259260261261261262262261262262263262262263261261262262262261260262263262264264265265265266267267267266265265264265265264264264263263263263263262262261260259259259259260260260260261261261261261261262262262262263262262263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266270273273271267264262263260259260262259256253255255254253254256255258259260261261261262262263262265266265261262265266267268268269269269270270270269267260254247255251253256263999999999999999999999999999999999999999999999999999999999999999999999999999999999999252249252255256255255256255256258259257259259260260259259259263261261263263264265267268266267268267267269271272269999999270270269268266267268268269270270271273273274275275276277277277279278279278276275274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242247250254255256258260263263264261265265265266269270270274276275278278277278280279278278279277277277277278276276276276276278277277277276275275276277277275275275273272272271271271273273272273275275276278278278277277278278280280281281281281281281282282282281282283282282283283283283284282283281280281281280278277278277275276274273272273274274272275272272275274274275274272271270271268267266266265264265264265265265264266265266266266266265265265264263263263262264267269268268268267266266267266266266265264264263263262262262262262262264265266268270270270275272272273274275276276276277277278278279278278279278278277276275274272272270268266265265264265266266266265265264263264264264265268271272273272272272271270270271271269266265266266266265265263262260259259258258259260260261261262262262261262261261262261263263262262262263262263263263262262263262263263263262262262262262262262261261261261260260260260260260260261261261262263262261259260259259259260260260260259261262262262262262262263263263264264263264264263263263263263262262263264265265266266266267268267267266266265265265265265265265264264263263263263262262261260260260260260261261261261261262262262262262262262262263263263263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271999999999999267270271271269267266268265265264264260257256255256256251251252254257261263264264266266262264266268268269267266266265267268269268269269268267268267266263259258258257257261265266999999999999999999999999999999999999999999999999999999999999999999999999999999999999250250252256255256255256256256259259258258258260260260261264263263262264265266268269268267265270270269272269270270270271272270268269267268269268269270271273274274274274275276279278277278279280279276276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248251252255258259262260263262257264262268269270275274277277278277279279279279281279278278278276278280279279279278277278279278279279278278278278279279279278277276276275275274274273273273274274277278278279280277279280280279280282282282283283283283282283283282282282281282283283284284283283280279281279280283280278278278277277275272272273274274274273273274274274276276275276276275274272271269267266266265265265266265264265266266267267267266266267266265265264264265269269269268268267267268268267266266265265264264264263263263264264265267269270271271271271272272272273274275276277277278278278279279279279279279278278278276275274273272270268265264264264264264265265264264264264265266268271273273273272273272271271272271271270267265266267267266265263262261260259259259261262261262262262262262262263262262262262263263264263263262262263262263263262262263265265265264264264264263264262262262262261261262261261262262261262262262263264262261260260260259260260261260260260262263263262262262263263264264265265265266265265265265264264264265264265266266266267267268268268267267266266266265265266266265265265264264264264263263262262261261261261261261262261261262262262262263263263262263263263263265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272270269267269269270269268269270269269267266265263260259261260258256255256253257260263265267266266268267268269269268272270262265263265266267266268265266266266267265265264264259257259264269264266999999999999999999999999999999999999999999999999999999999999999999999999999999999251254252254255256256254256257258260260260259260260261262263264264262262264266266268269270269270271272273271272270271272272271269267268268268269270270271271273272273274275277278277278277278276278277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252258254257259262261262262263265269270272274275277278278277279281280281282283282281279279280282281280282281280281279280279280281281280279280281281280279279278278278277277276277277277277278280280281281281281282281281282281283282284284284283283283281281281282282282283284285283284284284283282281283281285284279280280277277275272274274273275275274275274275275276277276276276277275274273272271270269268265265266265265266267268268268268268268267266266266265266267270270270269269268269268268267267266266266265265265264265265266267270271272272272272272272273273274275276277278278279279279279279279279280279280279279279278277276274273271270267265265265264265265264264264264264266269271272273273274273273272272272273271271271268266266266266265264263263262261260260260262263262263262262263263263263263262263263263263264263264263263262263263262263264265266266265265265265265265265265264263263263262262262262262262263263263264264263263262261261260261261261260261261261262262262262263263263264264265265265266267267266266265265265264266266266266268267268269269269268268267267267267266267266266267266266266265265265264264264263263262262262262262262262262262263263263263263263263263263263263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271271270271270272270267264266268267270267267262266264265265264262259256262260261264266265266268270269269269271268267269268269268265267269266264264265265266267265265266264263260259261263261264999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254255257259259260260261259262262263260262262263263264264264263264265267267271271270271271272274274274274274274273274273271268270269269271271270271272272272273273273277278279278276275275276277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253255253256259261263262265269272275275276276278278279279281281281281283285284283282282283284284284284284281281281281280281282281282281282282283283282281280280280281281281279279279279280280281281281282283283283282283282284285284283286284283282281281281282282282283284284284284285283285284284283284283282283283281280278277275275275275275275274274275276275276276277276278277275277278277275274273272272270268266265266267268269267267268267267267267267266267267269270271271271270269269269268268267267266266266267266267268269270272272272272273273272272273274275276277278279279279280279280280280280280280280280280280279279278277276274273271269267266265265265264265265265266268269270272272272273273273273273273272272272271270268267266266267266264264263264263263262262262263263263263264264264263264264264263265264263264264264264264262262263265265265265265266266266266266266266266266265265266265264264264263263263263264264264264264265264263261261260261261261262262262263263263263264264264265265265266266267268268268267266267267267267268268268268268269270270270269269268268269268268268267268268268267267267266266266265265264264263264263263263262262262263263263263263263263263264263263263264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268271275273272270269271270272272272274269268267264263261263265264264264264264263266268269270271271270270271272269266266268269268270270271271268266266265264265265263265266264262259260259258258272269266999999999999999999999999999999999999999999999999999999999999999999999999999999999254259261265266267265263262262263263264264264266266266266265265265267269269269272271273272272273275275275275276276274274274273270270271271272272271271273272270272274277277278275278277275275278279999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255257256259261262266270275275274276280277279276281281282283284284284284283284285286285281284282281281281281281281281281281282282283283283282283283282282282282282281280281280280281280281282281282283283284284283284284284285284284285284282281282282283282283284283284284283283284284284283282282284285281284283279276278277276276275275275275275275274275275274275276277276277277278279280279278277278277275274270269268268267269268268269269269268269269268268267270271271271271271270269270269268268268268267268268269270271272272272272273273273272273273274275276277277279280280281280280280280280280280280280280280279279279278278277276275273271270267266265265266266266267269269270272272272272273274273273273273273273272272271270268267267266265264265265265265265265264264264264264264266265265265264265265266266266264264263264264264264264264265266265266266267266266266267267267267266266266266266266266266266266266265265266266265265266265264263262262261262263263263263264264263263264265265266266267267267268267268268269268268268268269269269270270271271271271270270270269269269269269268268268268268268268268268267266267266266266265264264264264263263264263263264265264264263263264264264264264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267267274274274271269270269268268270272273275271269267265270271268266265265266266268266266271271271271271271268268268270270270270272271272271271272270266265263262262262263264263262261262260261262271263999999999999999999999999999999999999999999999999999999999999999999999999999999999999254256259263265266265263261264265265264265266266266265267268268267269271271271273274275274274277277276277278277276276275274275271270272272272273272273272273272271275277999999277279279278280281279278999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258259260261262267273274275277277279280280278279281283283284284285284285286285284284284285285285282284283283283282283283282282282280282282283283283282282282282281281281280281280282282281282281282283284283285284284285286286285284284283283282283283284283282282283283282282284282284282283285283283283281282282282281279277279277275274274275275276275275275274276277276276277278279280281281282281281280278277278277274271269269269269269269269269269269268268268270271272272271271270270270270270269269270270271271271271272273272273273272273272273273274274275276277279280281280281280280280280280281280280280280279279279278278278278277276275274272271269268267268268268268270270271272272272273274274274274273273273273273272272270268267266267266265265266267267267267267266266266266265266266267266265266266268267267265266264265264264265265265265265266267267266267267267268268268267266267267267268267267267267268267267267268268267267268267266264263262263263264264264265265265265265265266266267267268268268268268269269269269269269269269270270271271272272271270270270271270270270270269269270269269269269269269268268268268267267266266265265265265264264264264264264265265265264264264265264264265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265267270273273269273271273272270272272272274276271270267268265271266269268269264268269270267272271268266267270271270268270271271272273273272272272272270266264262262262260260261260262260261263266267999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251256256260263267266267266264267264264264267269268269270270270270271273273273275277277277278278277275276276277277277276276275273274275274273276275276999999999999999999999999279281283282281282280999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275276999999999999999263264263262262264271274277275279278278281280282282283284283285285285286285286285287286285285285282282284283284284283284285285283284283283282282284283282282281282281280284286284284281283285281281284285287286284286287287287284284285285284282283283283284283282282282283282282282280280283282284283282282285284283281283281280280279277275274274275275275275274275276276275276276278279279279280282282281280281280280280278277275273271270269269269269268268269268268268269270271272272272272272271271271270271271271272272273273273273273273273273273273273273274275276277278280281281281281280280280280281281279279279279278278278278278278277277277277277276275273272271270270269270270271272272273273273275275274274273274273273273273273271269268267267267266267267267268268269268268268268268266267267267267267267266267267268267267267266266265265266266266267267267268268268267268268268268267267268268269269269269269269269270270269269269269269269269267266265265264265265265266266266266266266265266267267267267268268268268269270269269269269270270271271271271271271271271271271270271271270271270271270270271271271270270271270270270269268268268267267266266266265265265265265265265265265265265265264265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270268268267267269271267272274273275274274269270274276277275276272269270272271268269269269270271270271271270272269269270271271269270271271273271272273273273271269264264263262261260258260261260261260260266272273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255256256260267270269267268267267266264265268269271270269270271271271273273275278278277277277278277275275999999999278278277276275273276999999999999999999999999999999999999999280999285285281999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272274272999999999999263261263262263265269274277276278279281282281283283284286286285284285285286285286286286285285285286285283283283284284285285284284284284285285284283283286283285284284283286285286286286285284284285285286288286286286286286285287285285285284284282282282284284283283283284283283284285283282284284284285283285285284282284283282281281279276274274274275274275275274275276275276276277277279279280280280281280280281281281281281280279277275273271270269269269269269269268268268270271273273273272272272271271272272272272273272273273273273274274274274274273274274275275276277278280281281282280280280280280280280279278279278278278278278278278278278278278277277277276276274274273271272272272273274274274274275274274274274274274274273273274272271269268269269268267267268268269270269269269270269267267268268267268268268268268268268269269268268267267266266265266268269269268269269268269268268268268268268268270269270270271271271272272272271271270270269268268267266265265265266266266266266266267266267267267267268268268268269269269269269270270270269270270271272272271272272271271271271271271271271272272272272273273272272272272272272271271270269269268268267267267267267267266266266266266266266266265265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269268269269270268274275277276274277275273271272276275274273271270266268268268271271272271267269272268269272271270271271270270270270270271270271272271272271270267265263260261261261259259257258259260266272273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255259260262268269270271269269266268267265267267270270271271273273272273273275277278279278278278278999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271271278999999999999261261263264264269271273276277277280277280284280280285285285285283281283285286285286283286285286285285283283283284285285282282282282282285285283283286286286282282282285285285285285284284284284286284288287287287286286288285283287287286283283284282284283283283284285282282281284285285285284283284285285283284284281283283282282282281278276275275274275275276275275275276276278279279278279279281282281281282282283282282282281280280280279276274272270269269270269269269268268270271271272273273272272272272273274273273273273273273274274275274274274274273274274275275276277278279281281281281280280279280280280279278278278278278278278278278278278278278278278277277276276275275274274274275275275275275275274274274274275275274274274274274273272271269270269269267268269269269270269269269270270268268268269268269270269270269270269270270270270269268267268268268269270269269268268270270269269268268268269269269270271271272273272273274274273273272270269269268269267267266266266266266266267267267267267267268268268268268268269269270270270270270270270270270271271272272272272272272271272272272272273273273273273273273274273273273273272272272272271270269269269268268268268268268267267267267267267267267266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273272272270269273273276278278276275274274276276276271273268273272267265267270270275269271272272272274273273272272271271272272271271271271272272271271270270268269269267265261261260259259256256256258264269273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258259263260263269270273272271272268269269270271271272272272273275276273274274275278279279279279277277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270272999999999999999262261264267270272274275277279280280284282281280285286286286286286287283286286287287286286284285285283283283284282288288282285283283282283283286286287286286286286286286285286285285285284284284287286286287288286286285286286286287287286284283283283282282282282284283283284283283284283284284283283285285281281281286287284284285284281277276275274275275275275275275277277278278279279278280280282280281282283282282283282281281281281280280279278276274272271271270270270269269270271272272273273273272272273273273273274274274274274274274274274274274274274274274275275276277278280281281281280280280280279279279279278277278278278278278278278278278278278279278277277276276276276275275275275275275276275275275275276275275275275275275275275274274273272271270270269269270270270269270270270271271271269268268269269269270271271271271271271271271271271270270271270270269269268268269270271270270270269270270270269269270272272273273274274275274274273271272271270269268267267267266267267267267268267268268267268268269269268269269269270270270271270271270272272272273273273273273272272272272273273273273273273273273273274274274274274274273273273273272271271270271270270270269269269269268268267267267267267267266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273274273273270270270273275278277276275275268271271270277277277279273268270268270272275275276274276275276273273272273271271272273272271271272271271273271270268269269271270266263262257256254254254253256263268270999999999999999999999999999999999999999999999999999999999999999999999999999999999999260264265268268270271272274275277271270271275274273273273271273275276277276276276276277280281279279999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283273271273999999271999999999999999262265269271272272275277281280282283283285284284285285286285286287283287286286288287284285282285286285282287287288288288289287288287286286286287287288285287287286286286287287287285285285288288288289286289288288287285286285288285287285285284284284284285284284285284284282284284284285284283282281282283281284285286286283285284283279277275275276276276275275276277278278278278278280281281282283283283283282283283283282281282281281281281280279278276274272272271270269269269269270271272273274273273273273274274274275275275275275275275275275275275274274275275275276276277279280280281281280279279279279280279278277277278278278278278278278278279278278278278278277277277276276276276276276276276276275275274275275275275274274275275274274274275274273271270270270270271270270270270269271271272272272271271271270270270271272271271271271272272272271271272272271270270270270270270270274272272271270271271271271269269271272273274276275276276275273273273272272270270270268267267267268268268268268268268268269269270269268269270270271270271272271272272272273273273274274273273273273272273274273273273273275274274274274274275275275274274274274274273273272272271271271271271270270269269269269267267267267266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272272272273272270269273275279278276275273273271271271274274277277277276272272271273275277279275276273274274273272273272272272272272272272271273271272272271271271271271272270267265257253252252252255260263265265999999999999999999999999999999999999999999999999999999999999999999999999999999999999266269271270268270274273275278277274274273277277275275274275275275275277276276275275279279281280999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278274275272999269999999999999999265268272272274276275278279281284284284284284285286287285285287288286288287287285285285287285285286287288287287287288289289288287287284286285286286285288286287287287287287287285284285285285285286289290289288289290286286286287287287285285285284284283283282284285284282282281280284282283281284281282281281282281284286284285285283283280277275275275275275276275276277278278277278279280281281281283284284283283281282282282281281280281282282282281280279277275273272270269270270270270271272273273273273274275275274274275275275275275275275275275275275275275275275276276277278279280281281281280279280280280280279278277277278278278278277278278278278278278278278277277276277276276276275275276275275275275275274274274274274274274275275275275274274274274273271270270270270270271271270270271270271271271271272271270270271272272271273272271272272272273273273272273273272271271271271271273273272270271272273271271272270271273274275277276277277277275275275273273272272271271270269269269269269268268269269269269270270269269269270271271270272272272273273273273273273273274274273273274274274273274274273274276275275275274275276275275275275274274274274274274273273273272272272271271271270270269269268268267266267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279273272274275276274271272271274277277271272272272272272272273272273273275276273272270273276278278278275274274273273272273270270272272273272272273273273273272271270270270269268269265264257254252251250253258257257257999999999999999999999999999999999999999999999999999999999999999275268268267266265267270273275273274274275274274274275275277276277277276277277277277278278278277278278278278279277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284999999999999999999999999999999999999999999999999999282278280999999280278277275273271270273999999270270271272272272274276277279279284284285284284284286287286285286286288285285285286285285287287286287286288288287287287288289288288287286285286286286286287288289287286283287285285288285285288286289289286286287287286286286287288288287285285286286285282283282283282283283283281280281281280283282283282282282281281284285285284285285284282279278276274274275277275277277278277278278279279281281282283285285284284284283283282282281281281281281282281282282281280279276273271272271271271271272272273274274274275275275276275275275275275275275275276275275275276275276276276276277279281280281280281280279280280280280278278277277277277278278278278278278278278278277277277276276276276276276276276275275275275275275274274274274274273274275275275274274274274274273272270271270270270269270271271271270270271272272272271270270270273272272273274273273273273274274273274274274274272271272271271273272271271273273273272272273273274275276277278277278278277276277277276275274273274273272271270270270269269269270270269270270269269269270271272272272272273273273275274274275274275275275274272273274275274274274274275275275276276275275276276277276275275275275275275275274274274273273273272272271271271271270269269268268267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280277277277278278275272272269270270270272271271269270271270270269270272276276276274274276277278279278276276274273273273272271271272271273272272272271271270271271270270270269268265260257256252252249249251253259256256999999999999999999999999999999999999999999999279278999999999272277271264263265270273276280280275279274273277277278280278279279278278278278279279279280279278278281280279279999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279999999999999999999999999999999999999999999999999999279279278999999999999276274274272273271999999271272274274273273273276278278280282285285284284285285286286284285285286285285288289288287286286287287290288288288288287287287290288288287287287286287290289287288288291286288289286290289288289285289287288287287287285285286285286286288287288287286286285283286284283283283283284283281279281282282283283282282285282283284283282284285284284282282280277276276276277276276276277278279279279280281283285285285285285284282282283282282282281281280281281281282282282281282280276275274273273272272272272273274274275275275276276276276276276275276275276276276275275276275276276276276277279280281280280280280279280280279279278278277277277277278278278277278278278278277277277277276276275276276276276275275275275275275275274275275275275274274274274274275274274274274273273272271271271270270271271271272272272273272273273272271272273273274274274274274273274275274274274274274274274274273272272272272274273273273273274274274274273274275276277277278279279279279278278278277276275274275274273272271271271270270270270270270270270269270271271272272272272273273273275275274275275276275275274273273273274273274275275276275276276276276276276276277277277276276276275276275275275275274274274274273273273272272271271270270269268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281281280280278277276273270266264265267270270269269267268267268268269272276274278276276276277277279279279279277273270272272272272272273273272270270271271271271271272272271270268262259257255250250249247250253257258255255256999999999999999999999999999271999271999273273275273274273999999266268272273275278276279279277277277278279280279280280281281283282282283282282280281280280280280279999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282281279280999999999999999999999999999999999999999279278278278279999999999275276271270273272273274273275275276277276277279278281283282284285286286285286288287286286285286286289288286288287288288284288291289288288288287288288288286287289288288289288286291291289291289291288287286286288289290289289290290290288289289290289289289289287288288288288286287286286284283281283284283284281282281283282282283283282284284284283284284285284285283282281282279278277276277276276275277277278279280280281282284285285285284285283283283283282282281280280280280281281282282282282282281280277276275274273274273273273274274275276276277276276277276277276276275276276276275276276275276276276276278279280279280279280280280280279279278278278278277277277277277278278278278278277278277277277276276276276276276275276275276275276275275275275276275275274275274274274275274274274274274274274273272271272272271272272272272272272273274273273274274274274275275274274274275275275275274275275274275274274274274274272272273273274273273274274274274274275276278278279278279280281280281281279279278277276276275275274273272271271270271271271270270270270270271271272273273273273274274275275275274274275275275275273275274275276276275275275277277277276276277277277277277277278278277277275275276277276276275275275275274274274273273272271271270269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283282284280277276276273263270270265269271270268266265268269268268268270272275276277275276275276277276278279277273272272273273274272272274273272271272272272272271271270269268267266259253249251253254245248251255258257258999999999999999999999273270281281999274274275999276275269268264267270272274280275281279277278275277278280280279280281280282283284284283284283283281280282279279279999999999999999999999999999999999999999999999999999999999999999999999999999281281284283999999999999999999999999999999999999999999999999999999286287999281281281286278999999278999999999999999999278279278278279999999273275274270999272270274275275276277277277276278277278279281282285286286286286287288287289289289289289289288288288288288288287290287290288288287288288286291288289290290289291288288289289289290287291287284285286288288287287286287288287288286283284287285287287285285282286286286286284283285283283283283284284284284283283282282283282282283284284283283283283284282282282282281279278277277277276276277278278279280280280282283284285285283283284283284284283282281281280281281280281281281281281282282280281280277276275275275274273273274275276276277277277276276275276275276275275276275276276276276276276276277278279279280279280280280279279279278278278278278278278277277278278278278278278278277277276276277277277277276276276276276276276277276275276276276276275275276275274274274275275275274275274274274274273272272272272272272273272272273274272273272274274274275275276276276276276277275275275274275276276275275274274273273273273273274273274274274272275277278278279279279279280281281282280280280280279279278277276275275274273272272271271271270270270271271271272273273273274273274275276276275275276276276276275277276277275275276276276276277277277277276277277277277278278278278277277276276277277277278276276276275276275275274273272272272271270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280277277277276275265265265266266265264265265266267266267268269268269271272271274274275277274274279278275273273274274274273273274273272272272271269268268269268266265262258257257247251249249243244253253252258268263999999999999999277270999999282277999278275278276273270267268268271275275276278278277999280277279280281280280281282282284285284284284284282283282281280999999999999999999999999999999999999999999999999999999999999999999999999999999277279278281283281272999999999288288279999999999999999999999999999999999284281284281279999999999999999277999999999999999277277276276278279999271274275276275275272271271273276278277278277278279277278280282284285286286287287288288290289287285289289289289288288288289289289287288291291289288288291291289291290291290287291289289289289288290290287287286286287288287285285287288287287287287284287284290286285282286286285285282285286284284284283284285285285283283283282282281281282282282283282282283283282283280282283283280280279278277277277277278277277279280279281282284283284283282282284283284284283282282282281282281281281281280281282281281282282282281279277276276275274274274274275276277277277276276276274276275275274276276276276276276276276277278278279279279280280280280280278278278278278277278278278277278278278278278278277277278278277277277277277277276276276276276276276276276276277277277277276276276275274275275274274275274274274275275275274273273273273273273273273273273273273273275274275274275276276277277277277277276276275276275275276275275275275275274273273273273274274274273273277277278278279279279279280281281281281281280280280280279279278277276276274274273273273272272271272272272272273274274274274274275276277277276276276276277277277277277277277277277276276276277278277277276277277277277277278277277277277276277277277277277277276276275275275275274273273273272271271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278279281278273269266268267265262263264265265266266266267268267266269270270269270272274275276276278276275274274274274276276274273273274273272269267267268268267263262258253250248247249250247245246253253260999262999999999999274269999999271278272273275275274273272271269272273275276276278280279999999279279277279281282282282282284285286286285283283284283282280999999999999999999999999999999999999999999999999999999999999999999999999999280279277278279281279276273999273275283283279999999999999999999999999999999999999289283282273274272276276279277276276275276279280278276279277276276276280281280272275278276273273276277277279279279278279279281283283286287287287289290290289285285286290290288287286287286288288285289290291290290290292290291291286288288287287292289289291290286285287286287291289286288286287286285288288287286287287287286286285289288282283286284285285286286285285285285284284284283283281283283281282282282281281282283283283281281285283283283281280278277278278277277278279279279280280282284285286286282283284284283284284283283282282282282281281281281281280281281281281281282282281280279277277276275275275275275275275276275275276277277277277276278278278277278277277278278279279279280280280280280280279278278278278278278278278278278278278278278278278278278278277277277277277277276276276276276276276276276277277277277277277277277277276276276276275275275274274275275275275275275275274274273273273273273273273273273274274275275275277277278278277278278277276276275276276276275275275275275275274274274273273274274273276276277278278279279279280281282283283283282282281281281281280280279278278277276276275274274273273273273273273274274274275275275275276276276276276275276277277277277277277277277276277277277277277277278277277277277277277277276277277277277277277277277277277277276276275275275275274274273273273272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276279278276272271270269266266265264266269268268266267267266267270271271273274273274276278278278276277276276277277276275275274274273271270269269270268265263262259253251248248248251248246245999999999269999999265266263270264265271999272274275272274275273273273274274275276277279280281280999283282283282283283283283285285285286287286282281282283281281999999999999999999999999999999999999999999999999999999999999284282283282999280280278277280282283280281999276276280283286999999999999999999999999999999999999999999999276276279274281281281281283283282285284281279280281279280280281278279278272274274279278275277277278280281279280280280282283284287288289289290289291290289288288288289286287288287289289288289289288289291290290291292294293293293292292290290289291291291290292291291291291291291290289289287289289291290290290290290290288289287286287287285287286286286286286285285286284284284284284284283281281281282282282282282282283282282283283284284284283281280279279279278278279278278279278281281283285285284284284284284284284284284283282282282282282282281281281281281281282281282282282282281280279278278277277277278278277278278278279279280280281281281282280280279279279279279279280280280280280281280280280279278278278278278278278278278278278277278277277278278278278278277277277276276276276276277276276276276277277276277277276277277276276276276276276276276276276274274274275274275275275275274274273274274273273272273274274275275275277277278277277277277277277277276276276276276275275275275276276275275275275273275276275276277278278279280280279281282282283284283283283282282282282281280280279279279278278278277276275274273273273273274274275275276276275275276276276276275276277278277277276277277276276276276277277277278277277278278277277277277276276276276277277277277277277277276276276276275275275275275274274273272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279278274270270271270270269270270267266266267265265267267267270273275277277277279279278278277279278276276275274272273271270270269270269267264261260254252251249254255253248247251255260259263263266266258260268270274271273275275274274275276275273273273277277278279280284282282282284284284285285285287287286287287287287284999999999999999999999999999999999999999999999999999999999999999999999281281282279278282999999999999999281281280282999999275278999999999999999999999999999999999999999999999999999280276276280282283281285287288288285286286285283283283283283283284284279277271272271275274275277279279280279279279278279282283285286289287287289288287287287288284284289289287287288289289289289289289290290291290290289290290290290290290289291292291292287287290288289288289289290290289289288287286287286287286286286285285286282283285284285287287287287286286283285284284284284283283282281281283281281281282282282282283281282284284285283283282280280279279279278278278278278280280279283283284285284283284284284284285284284283283283282282282282282281281281281281281282281282282282282281281281279278279279279279279279280281280280281280281281281281281281281280280280280279280280282281281280280280279279278278278278278278278278277277278278278278278278278277278277277277277276276276276276276276277277277277277276277277277277277277276277276276276276277276275274274274274275275275275275275274274273274274273273272274274274275276277278278277277276276277277277276276276277277276276276275275275277277277277275276276276277278278279279279280281282282283282283283283283282282282282281281280280280279279279279279278277275275274274274274275276277276276277275276276276276276277277278277277277277277276277277277277277278277278278277278277277277276276276276276276276276276276276276276276276276275275275275275274274273272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275277277275277277275276275277275274272274275270268267266265267272274276277278277279279278279279278277276274274274275272273272269269266265265264260260263259258263261261261261259259258258257259257257257261264265264266267273273273273273273271274271272275278279281283284999280282284286286287288289287286286287290288288285999999999999999999999999999999999999999999277272272999999271276999279280278280284283999999999999999999999281281279999999269272279999999999999999999999999999999999999999285286288279279284285288288288289289289289290291285289288287286285284286285285281278277275271273273274275278279278279279278279281281283286287288289287287289288288288285287289289289288288289290290290290289290289291290290287289290290288290288289291293292292292293290291290289290290291291290290289289288288288288286287286287286284284284283283286287288287281284284285284285284283284283283281283281281281281281280281282282282283283283284285284285282282281281280280279278280280280280280280281283285285285285284284284284285284284283283283283282282282282282282281282282282281282282282282282282282282281281281280280280279280279280280280281281280280281281281280281280280279279279280280280281280281282281280279277278278278278277277277277277277277277277277277277278278277277276276276275275276276276276276276277277277277277277276277277277277277277277276277277277277276275274276275275275275275275275275275274274274274273273274275274276276276278278278277277277278277278277277277278278277277277277276276277278278277276277277277278278278279279279280281282282283283283284283284283283282282282281281281280280279279280280279279278277276276276275275276277277277277277277277277277276277277277277277277277278277277276277277277277277277277277277277276276276277277276276276277276276276276276275275275275276275275275275274274273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280281278280281282281282281283282279279280278273271269267265267271272275275275276275277279279279279279279275275274276274273272272271270268267265262270270272273274273275268270272271266265252259258261264267268267265266267272270271279273274271273276277278280282283286287999283285287288288287287288285285286286288288287285999999999999999999999999999999999999999278277999276999267268270280278284284289292297999999999999999999999999999276277277273274279999999999999999999999999999999999284286288288288287288289290290288287290289289289292292291289290291291289289288287285280276277274275274274274276275275277277279279282281281283285288290290289290289290289289288288289290289289290289289291291290292290289290289288290290295290290288293291292293292293292295293293293293294294293294293293293292291289291290290290288287287289288286285286288287287288287286286286286285286285285284284283283282282283282282282282282282283283283283284284285284284284282281280280280280280280280281281282283285286286285285285284284283284284283282283283282282282282282282282282282282281281282282282282281282281282281281281281280280280279281280280280280280280280281281280280281281280280280280279280281279280280280280279278278278278278277277277277277277277277277277277277276278277277277276275276276276276277276276276276277277277277277277277277277277277277277277277277277277277276276277276275275275276276275275275275275275274274274274275275275276276277276277277277277277277277277277277277277277277278278279279279278279277277277277277278278278279279280280282283283284284284284284284284283283283283282282282282282281281281281280280280279278278278278277277277278278278278278278277277276277277277277277277278278278278278277277277277277277277277277277277277277277277277276276276276276276276275275275275275275275275275275275274274274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284287284283287287287283284283284282284282278275270269269268270272273273274276277278279279280280280280278277277276274273272271272271270269266266273275277278276275280280281280273266267264269267267268267270267267269267277278274273277277277280282284284285286287289289288288289289289288287288287286286285286286287285283999999999999999999999999999999999999999279278269267269266267999999284285290294293999999999999999999999999999999278282282280275281999999999999999999999999999999999284288290289288287290290292292292291288288288292291289288289289291291291291290287287284278280279272274276276276276275275275277278279280280282283286288289290288289290290291290289289290290288286290290291290287291286288285288289290290291290289290292293293292292290294291290290288291291293291291291288291292290289288289289287287287287286291290286287288287287288288287286286286286285285285283283284283283283282282282283282282282282282284283284285285286284283283281280281281279280280281281281282285286286286284284284284283283284284282283283283283282282283283282282282282282282282282282282282281282281281281282281280281281281280280280280280280280281281281281281281281281281281280280280280280280280280280279278278278278278278277277277277277277277277277277277276276277277277276276276276276276276276276276277277277277277277277278278277277277278278278278278277278277277277276277276276275275276276275276276276276276275275274274275276275276277277277276277277276276276276276277277277278278277278279278279279280279277278277278278279279280280280281283283284284284284285284284284283283283283282282283282283282282281281281281281281280280279279279278277278277278278279278278277277276277277277277277277277278278278277277277277277277277277277277277277277277277277277277277277277276276275275275274274275275275275274274274274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284285286288287287287287286283282281278275273267266265266266271269272274277278279280281280280278279279278277276274272272272271271269268267269274276276279279278280281281281278268269270272273273271272272271272273271272274277276281284285286287288289288289289291291291292291290288288288288287286286285284283284999285285284286999280281283282280282999999999273279268262261261999999999291999999999999999999999999999999999999999999999280278279275999999999999999999999999999999999289289289288290291286291291290289293292289288293290290289289290291292292292291289291290287285283280278277279278278275275275276276279278280281282283286287288290290291292292292290290287288287289288287291290288287292292288289290288290291291289289292293292292294294288290290290291291292292293293291292289288291289288290289288285285287288291287289289288288287287288289287286285285285286285285284284284284283282282283282282282282282282283284284284285285286285285283282281279280280281281281282283285286287286284284284284284284283284283283283282283283283282282283283282282282282283282282282282281282283282282282282282281281282281280281281281281281281281281282281282281281281282281281280280280281280280281280279279278278278278278277277277277277277276277277277276276276276276276276276276276276276276276276276276276276277278278278278279278278279279279279279279279279279278277278277277277277277277276276276276276276275274274274274275276276275275276276276277276276276276276277277277278277277277277278278278279278279278278278279279279280280281281282283283284283283284284284284284283283283283283283283283283282282282282282282281281281280280280280279279278277277279279278278278277276276277278277277277277278278278277278278277277277277277277277277277277277277277277277277277277277276276275275274274274274275275274274274274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283288287288288288287286285284283281280275272269265266267267267270272275277277279280280280278278277277277277275274272272273273271272272270271273276277278279279280281282282281279277277278280277275275278279279279278278280283285287287289289289290290290290291291292292291290288285999287287287285283279278999999999999999288287284284285286285284284282281268265264261262264999999999999999999999999999999999999999999999999999999999999277277279284287999999999999999999999999999288289288290290291291291292291292291292292293290290290291291292292292292293293293291291293290287285284283280281280277276276275275276275277279280282283284286289290291292293293293291291285289289289292289288290289290291285287286291294292287289291291291292292293294293288293290291290290290293293293293291290290290289288289289286287289287287289287288289288288287288287289288287286286286286286285285285284284283282282282283282283283282283283284284283284284285284286284282281281281282281282282283285286286287286285284285284284284284284284283283283283283283283283283283283282282282282282282282282282283282283283282282281282282282281281281282282281281281281281281282281282282282282281281280281280281280279279280279278278278278277277277277276276277277276277277277276276276277276276276276276276276276276276277277277278277278278278278278279279279279279279279279278278278278279279279279278278278277277277276276276276276275275274274276275276276276276276276276276276276276276276276277277277277277277277277277278278278278278278278278278279280280280281282284284283283284283284284284283283283283284283283283283283283283283282282282282282281281281280280280279279278278278278278278278278277277277278278278278278278278278278278278277278278277277277277277277278278278278278278278277278277276276276275274274274274274274274274273274274273274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288289287286286285285285284283280279274273268265267268269270273276278278279279279278278277278276276276275273273274274274274273273272272272273274275276277278279279279277278278278279281280279279280280281283285286288289290290290290291291291291291291291290291291291288285283999284285284283282278282999999999999999999292290288289287285281280276276269273274270272271999999999999999999999999999999999999999999999999999999999284285286288287286288290999999999999999999286285289290290290292291292292292292292293294295290291291292293293293294294295294295295294294292291289290287286283283280280279278279278279279279280283284284287289290292292294295294292292292292292292291290290291291291290291292290291294291292289291292292293293293294290291291293291294291295296296294292293292292292291290292290289288289290288288288289289289288289288287288288287288286286287285285285285284284282281282283283283283283283283283284284285286286285286285285284283282283282283283283284286286286285284284284284283283284284284283283283283282283283283283283282283282282282281281282281282282282283282282282281282282282282281282282282282281281281281281281281282282282281281280281280280279280280280280279279279278277277277277277277277276276276276276276276276277276276276276276276276276276276277277277277278278278278278278279278279279279279278278278278278278278278279279279279278278278277278278277277277276276275274274275275276276276276276276276275275276276276276276276276277276277277277277277278278277279277278277278278279279279279280280283283283284283283283283283283284284284284284284283283284284284283283282282282282282282282281280280280279279280278278278278278278278278277277278279278279278277278278278278278278278278278277277278278278279279279278278278278278278277277276276275274274274274274273273273273274273274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288288289286286286284285284283281278274270264266268269271273275277278276279279278277277276276275273274274274274275275274274274273273272273273274276276277277277277278279278278277278279281279279281284286287289290291291291290291291291291292292291291291290291290289285282281280282280279278284284999999999999999999999293288290293999999279280279278282283281276273999999999999999999999999999999999999999999999999999999286283286288290289289289289288999999999999999999286287289291292292293293293294293293294294295295295291292292293295293293294293294295295294293291292293292290289287284282281282280279279278280279281283283284285288288293293294295295294290291292290291290289292292291291291289288290287288290291292291292292292293292292292293293294294292294294293293294291294292292290290292291291288288289288288289289289290290289287289290288289288288288287287286285285285284283283282282283283283283283284283283282282283284285285285285286284285283283284284283285285286285284284284284284284284284284284284283283283283282283283283283283282282282282282281281282281281282282282282282281281281281282282281281282281282281281281281282281282282281281281282281280280279279279280280279279279278277277277277277277277277276276276276276276276276276276277276276277276276276276277276277277277278277278277278278279278278278278278278278278278277278277278279279280280278278279278278277278277277277276275274274275276276277277276275276276275275275276276276277275277276276277277278278278278277277277277277276277278278279279279280282282283283283283282283283283283283284284284284284284284284284283283283282282281281281281281281281280280280279279278278278278278278279278278278278278279279279278278279279278278278278278278278278279279279279279279279279278278278278278277276276275274274274275274273273273273273273274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283288288285285285285282284285284282278275270264267269270273275276277278278279279278276276276275275275276275275275275275273273273272273274274275276276277277278277277278276279276278999999274276280283285288290291292292292293291291292292291292292292292291291291290287283278276274275278277999999999999999999999999999999999999999999999999999276276278282283283999999999999999999999999999999999999999999999999999999999287284285286289288289290290289291999999999999999289286290289290293293294294295294295295295295296291295292294295295296295294295296296296296295296294294295293293293293289287286284283281279280282282281284285284286288288291291292294294293291292292292291291289291292291292291291289288290289291292292293293293293293292291292293293294294294294293293292293293294291291292290292292291292289289288288290290290290290289289288288289289289288288287286286285284284284284282282282283283283281281283282283283284284284285285285284284285286286285286286286285286285284284284284284285284284283284284284283284283282283283283282283283282283283282282282282281281281281282282282282282282282282282282282281282282282281281281281281281282282282282281282281281280281281280279279279279279278277277277277277277277277276276276276277276276276276276276276276276276276276276277277277277277277277278277277278277278278278278278278278278278277277277279279280280279278278278279279278277277277277276275275274275276276276276276275275275275275276276277277276277277277278278278277278278278277278277277277277277277278278278279281282282282282282282282283282282283283283283283283283283284284283283283283283282282281281281281281281281280280280279279278278278278278278278278278278278279279278279278278278278278278278278278278279279280279279280280280280279278278278278278277276275274274275275274273273273273273273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284287287285285284285284285283281278275269263267269270271274275275276277278276274273273275276276276276275275275274273273271272273274274275276276277277277276281278275273999999999999999999276279285287289291293292292292293293291292293292292291291292291291290288284280274274275282999999999999999999999999999999999999999999999999999999275270265266273279281999999999999999999999999999999999299295294294293999999999285284288288287288288290289288288289289289288291290292290293291295295295295295295295296296297294294297295295296296297297297297297298297297297297295296293295296296292291289287284281282282281279282283284286287286287290291292294295296296294292291291291290292292291290290292292290291290291292292293293294293293292292292292293293292292292293294293293295293292293295295294293292293292290290287290290290290290290290290289290289290289288288287286286286285285284283283282284283283283283282282283283284285284284285284285285286285286286286285285285285284285285284284284284284285285285284284284284284284283284283282282283283283283283283284284283281282281282283283283282283283282282282282281282282282281281282281281282282282281282281282281281281281281280279280279279279278278277277277277277277277277277277276276276276276276276276276276276276276276276276277277277277277277277277277277277277278278278278278278278278278278277278278279278279279278279279279279279278277277277276275275275275275276276276276276275276276275276276277277277277277277278278278277277278277277277277277277277277277278278278280281281282282281282282282282282282282283283283283283282283284284284283283283282281281281280280280280280280280280279279279278278278279278278278278278278279279279278279279279279279279279279279279279279280280280280280281281281280279278278278278277276276275275275275274274274273273273273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285286285285284285285284284283281277275267264268269271273273273274276276276276277277277277276275275275275275275275275274273275276276275276277277278279279279280279278999999999999999999999282285287288291292295294295295294293292292292291291290290290289289288285279277282999999999999999999999999999999999999999999999999999999999999282277272263261273280279999999999999999999999999999295296296294293293298293999289288288289289288289289289290292292293292292291290290293291292291293296294293294295298297297297298299299300297298297298298294298299298298297298298298297297297296293292292290288285282280283281281282285286287288287288290292293294295296296294294293294294294293294291291292293292293292291293293293293293292292293293293293292292292292293293293292294292292291293294292292292293292292292290289291290288289287290290290290290289290288289288288287286285286286284284283282281282283281284283281282283284285284285284284284285286285286286285286285284285285285285285284284284284285285284285284284284285285284283283283282282283283283282283283284284283283282282283283283283283282283282282282282281281281281281282282281281282282281281281281281281282281281281280280280279278278278278277277277277277277277276277276277276276276276276276276276276276276276276277277277277277276277277277277277277277277277277278277277277277278278278278278278279278278278279279279279279279279278277277276276275275275275276276276276276276276275276276276276277277277277278278278277277276277277277277277277277277277277277278278280282282281282281281281282282282282282282283283282282282282283284283283282282281281281280280279279279279280280280280279279278278278279279279279279279279279279279279279279279279279279279279279279280280280280280281281281281281280279279278278278277277276276276276275275275274274274273273274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280285284284284283285283283282279276272264265266269271272272272273274275275276275275276276277275275275275274276276275274276276277275276277278279281281280280278276279999999999999283283284285286288290292293295295294294294293292292291291290290289288286285281279273282276999999999999999999999999999999999999999999999999999999999999999999281263260269275275278278999999999999999999999296297296294291290290289295291292291292291291292291290293292293294294294293294292294290291292293294295295294295295295296296299300301298298299300300295299300300298297298298300298299297298297297293294292290285282281281282282284285286287287287289291293293294294296296294292292292293292292293292291290292293293292293292293293293293292293293292291293293293294295294294293293294294292293294292292292291293292292293291290292289288290290289289290291291290290288289288288287287287285285285285284281282282284283282282282283284284285285285285285284285285285284285285285284285284285285284284283284284284285285284285285285284284284283283284283282282283283283283283284283284283284283283283283283284283283283283282281281280281282281282282282282282282282282281281282282282281281280281280279279278278278279278278278278277277277277277277277277277277277277277277277276276276276277277277277277277277277277277276277277277277277277277277277277277277277277277277278278278278278279279279279279279279279279278278276276275275276275275275276275275276276276276277277276276277276277278277277277276276276276276276276277277277277277277277278281282281281281280281281281282281281281281282282281281282281282283282281281282281280280280279279280279279279280279279279279279278278278279279280279279279280280279279279279279279279279279279279280280280280281280281281281281281280280279278278278278278277277276276276275276275275274274274275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285284284283284283282280277275266266267267268269270270271270272273273275275276275275275276276276275277278279278278278276279276277279279279279280281280281281282281285286285285286287287289290293293295295295294294294294293292291290290289287283279277279275271274276281999999999999999288289999999999999999999999999999999999999999999999259265272271267271999999999999999999999298295297293293292292291293294293294293293292292292291292293293294295296296295295295295293293295296296295294297297295297295299297298299298298299300298299300300300299298298298299300299299299298296291292291288286284283282283283285286287287287287289291293294294294293294294294293291293293293293293290292293293293293293293292292292293293293293292293294294295295295294294292293291293292294293292293293293293292292291290292288288287290292290289290290291291289289289289288288288287287286285285282283283283283283283283284285285285285285285285285285285285284284284284284285285284284284284284284285285285285285284285284284284283284283283284283282283284284284283283283283283284284284283283283284284284283283282282281281281281281281281281282282281281281281281281282282282281280281280279278278278278278279278278278278277277278277277277278278278278277277277277277277277277276277277277277277277277276277277277277277277277277277276277277277277277278277277279278278278278278279279279279279278278278279279278278276275275276275275275276276275276275277277276276276276276276277277277276276275275276276276276276277277276276276277278280281282281281281280281281281281281280280281281281281281281281281281281281281281280280280279279279279279279279278279279279279279279279278279279279280279279279279279279279279279279279279279279279280280280280280280281281281281281281280279279279279278278277277277277276276276276275275274275276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280286283282286283282281280279274269269269269268268268271272273273273274274273277276276276276277277277277277278279279278278277279276277275278279282281281282281283284286287288288289290291291292294295296295294294295294294292290290289289287285281279279277275271273275279283296999999999299299999999999999999999999999999999999999999999999274272277282281287999999999999999999297296298294294298296296295295295295294294296295295297295296296297297298297297298297296296294296297296296296296298296295295296297298299298299300299298299300300301300302301299298298300299299297295294291288286289287286284284283284285286287287286287289291292294295295294294294295295294294293294294293294293293293293292292293293293292294292294294294294294295295295294293292291292292294293296292292291293293292293292292289290290290291291291289289290291291291289289289289288288288288287287285285284283284284285285285285284284285285285285285285285285284284285284284283284284284284284284284285284286285285285285284285284283284284284284284284284283283283284284284284284284284283284284283283284284284283283283283282281281281281282282281282282282281281282281282282282282281281280280278277278278278278278278278278278278278278278279279279279278279279278278277278277277277276277277277277276276276276276276276277277277277277277277277277277277277277277277277278279279278278278279278279278278278278278278278278278277276276276275275275276275275275276277276276276276276276277277276276276275275276276276276277277278276276276276277278280281281281281280280280280280280280280280280280280280280280281280281280280280280280280279279279279278278278278278278278279279279279279279279279279279279279279280279279279279279279279279279279280279280280280280280281281281281281281280279279279279279278278278278277277277276276276276276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285287281282282281281280277274272272271270267268270272273274273275274274275275277276277277278277279277278278278279279279279279279281282281281281283283283284285286288289290290291291292293294296296296296295295295295293292290291289287284279277276285273276275276277999999296999999999297298294999999999999999999999999999999999999999999274273277285288285288999999999999297298295297298298297298298297296295297297297297298297297297298298299299299298298298298296295295296293296295297296297297296296297298301298300299299299298301301301302302300300300298298299298298296297295293292288289288289287285283283285285286287286287289291292293294295295294296295294294294293293293293293293294293293293292294292292292293294294294294294294295295293293292291292293293294293293292292291293293292293292291289291291291291290290290290290291290289289289289289288288288288288287286285283285285285286285285285285285285285285285285285285285285285284285284284284284284284285285285285285285285285284284284285285285284284284283284283283282282283283283284284284284284283283284283283284284283283283283283282281281281281281282282281281281282282282282282281281281281280279278277278278278278278278278278278279278279278279279279279280279280280280280280279279277277277277277277277277276276276276277276276277277276276277277277277277277277277278279279279279279279278278278278278277278278277277278278278278278277276275276276276276277277276276276276276276276276276277277276276276275275276276276276277277277276276276276277279280280280280280280279279279280279279278279279279279280279280280280280280280280280280279279278278278278277277278278278278278278279279279279279279279279279279279279279279279279279279279279279279279279279280280280280280281281281281280280280280280280279279278278278278277278277277277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281284283282282280278277276276276275272270270269270271272273274275275274274276276277276277277279279278279277277278278277276278279280281279282281282285283285287287290291292292292293293294294296297297295296296295295296292291290288285282279278274285280282283283285286999999999999999999999295298999999999999999999999999999999999999999999280286289291289292292999999999295296296298298299300299299298297299299300300300300299299300300300300301300300299299299296295295296294296297297297297296297296297297299297298300299299300301301300299301301300300299300299298298297299297296294292291290290286286284284284285286286286288289290292291293293294295295295295295296294294294294294293292294294294294292292293293293293294294295295296295294295292292293293294294294293293292291293292293293292292290290292291291291290290291290290291290289289289290289289289289288287287287285285286287286287286286286286286287286285285285285285285285285284285284285285285285285285285285286285284284284284284284285286286285284284284284283283283283283283283284283283283283284283284283283284283283283283283282282281281281281281282281281281281281281283282281281281280280279278278278278278279278278278278278278279279280280280280280280280280280280280280280280280280279279278277277277277276276277277277277277277277277277277277277277278278278279279280280280279279279278278277278278278278277277278277277277277277277277277277277277277276276276276277276277276276276276277277276276276275275275276276276276276276275275276276277278280280279280280279279279279279279278278278278279279279279279280279280279279280279280279279278278278278277277277277277278278278279279279279279279279279279279279279279279279279279279279279279279279279279280280280280280281281281281281281280280280280279279279279279278278278278278278277278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280279280282282282281281280279278276273271271271272272271272273273273273274275276278277277279279275279277276277278277281277277278278281281282282282284284286288289291292292293294294294294296297297297297297296296296295293291289286283282999286278285287287288288289288288999999286290999999290297999999999999999999999999999999999999999285289289292293292292294293296295296296297301298299301301302302302302301301301301300300300301301301301300301300300299298297297296296296297297298297297297298297298298298298299300299300301301300299300300301300300299300302299299299298298297296293292291288288287288286285285285286286289289290292292294294295295295296297296295296294294293294294295294293294293293293293293294294294294295296297297296295295293295295294292292293292292293293293291293292292291293292293291290291290291290290290289289289290290290289289289288287287287287287286287287287287287288287287287287287287286285285285285285285285285285285286286287286286286286286287285284285285285285285285285283283284284283282282283283283283284284284284284284284283283283284284283283283283282282282282281281281282281281280281281281282282281281280279279279278278277278278278278277277278280280281280280280280281280280280280280280281280280280280280280280280279279278278277277277277277277277277278277277278278278278278279280280281280280279279278279277277276277277278277277276276276277276276276277277277277277276277276276275275276276276276276276277277277276276276275275275276276276276276276275276276277278279280280279279280279279279279278278278277278278278279279279279279279279278278279279279279278278277277277277277277277278278278278278279279279279278279279279279279279279279279279279279279279279279279279279280280280280281281281281281281280281280280280279279279279279278278279279279279278279279280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278280283281284284282282281280279277272272273274272274273273274274275276276277278278279279278280280280280281281282281280280281281280281282282283283284285288290291293293293293294294295296297296297298297297298296297296294291289286284289999999281285287288290290290290287280278282287999287294296999999999999999999999999999999999999289288293294294295296297297298295296298299300300300302303306305304304304302302303302302302302302302301301301301300300300300300299297297298298297297298297297298297298298298300299300300300301301300300300300301301301301302302301300300298298298296296295291289288288287286286284284286286288289290292292293294295294295297297297296296293294294294294295295294295293294292293295295294295295295298298296295293294294294294293292293294292294293293293291294293293292292291291291291291291291291290290289289289289289289289289288287287287287287288288287288288287287287287287286287287287287286286286286286286286285286286286286287287285286285285286286285285286285286285283285284282284284283283282282282282282283284284284284284284284283283283284283283283283283283282282282281282281281282281281281281281281281281280280278279278278278278278278278279280280281281281280280280280280280280280280280280280280280280280280280280281280279279279280280279279279278278278278278278278279279280280281281281280281279279278278278277277277276277276277276276275275275275276275276276276277276276277276276276276276276275276276276277277277276276276275275275275275275276275275276277275277278278280280279279279279279278278278278278277277277277278278278278278278278278278278279279279278277277278278278277278277278278278278279279279279279279279279279279279279279278278278279278278279279279279279279280280280280280280281281281281280280280280280280279279279279279279279279280280280280280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283284285284283281278276278275273273273274273273273273273274275277277278275275276276276277277280279277280279280281280279281280282282283284285286289291292293293294295294297297297297297298299299299299298297296296294292290287284281281283286287288289290289288284285286280279282281295298999999999999999999999999999999999285288293296297294296297298296297298298300300302304304306305304305305304304303303303303302302302302302301300301301301301299300300299299299299298297297297299298298298298299299299299300300300301299299297300301300301300301302301300301299299299297297296295293291290287287288287284283284286289290291291292293295295295297297297297296295295295295294294294296294295293293292294295295295295295295298296295295294294294294294293293294292292294293293293292292292293293292291291291292291291291291290290290290289289289290290289287288287288286286288288287287288287287287287287286286287287287287287288287287287286285286286286286286286286286286286285286286286286286286285286285284283284283283283282282282283284284284284284284284284283283283284283284283283283283283283282282281281281281281281281281281281281281281280280279279278278278278278278279281281281281281280280280280280280280280280280280279280280280280280280279280280280280279279280280280280280280280279279279279279280280281281282281281280279278278278278278276276276276276276277277276276275275275275275275275276276276276275275275276276276276275276276276277276277276276275275275275275275275275275275275276277277278278279279279279278279279279278278277277277277277277278278278278278278278278278279279279279279278278278278278277277277278278278278278279278279279279279279279279278279279279279278278278278278278279279279279280280280280281281281281281281281280280280280279279280279279279279279279280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285285284282280275275271269270269269269270271271273274275276274275274275275276275277278282280280280280281282281280281282282283284285287288290292294295295295294296297297297297297299299300300299299299298298297296295293291288286286286287288290291290290289289290999999999999295297999999999999999999999999999999999289293295296294295295296297298301301303303304304305305305305305304305304306304304304303303303300301301303301301301301301300300300300300299298298299297298298299298298298299299299299300300301300301300300299301302300298301301302301300300299299296294296296293291290288288287287286285286289290291292293294294295296297297298297297296297296298296295294295295294293292292294295295295295295294294296296294294294295294294294293293294292294294294293294293293292293292291291291292292292290292290289289289289289289290290290288288287288287287288288288289288288288288288287287287287287285287287287288288287286286286286286286286286286286286286286286286286287286286286285285285283284283284284283282283283283284284284285285285284283283283283284284283283283283283283283283282281280281281281281281281281281281281280280280280279278278278278278278279280281281280280281280280280280280280279280280280279279279280280280279280279280280280279280280280280280280280280280280280281281281281281282281281280279279278278278278277276276276276276276276276275275275275274274274275275275275275276275275275276276275276276275276276276277276277276276275275275275275275275275275275276277278278278279279279279279279279278278278278277277277277277277278278278278278278278278278278279279279279279278278278278277278278278278278278278279279279279279279279279279279279279278278278278278278278278278279279279279279280280281281281280280281281280280280280279279279280279279280280280280280280281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285285282277275272271271270269268266269271273275274276273274275275275277278278279280281280281282283281282282281282283285285286287288289290293294295295295296297297298298298298299300301300299299301299299299299300297295293292291288290291292292293291291292290999999290294293999999999999999999999999999999999289289292292292293294295297298299300302304305305305306305304306306305305303306304304304304303304302303303304302302302302302302302301300300300299299299299298298298298299298299299300300300301300300300301300301301302302303303300301298300300299299296296296296296294292292291289289289289291291292292293294295295296298298299298298297298298298299298296295295295295293293294295294294293294295296295294296294295294295294293295293292293293295295295293293293293293293292291292291292291291290290289289290289288290290289289289290289288287288288289288289288288288288288288288287286287287286286287288288288286286286285286286287287286287287287287286286286287287286286285285285285284284284284284284284283283283283284285285285284284284283284283284283284284284284284283283282282282282281281281281281281281280280281280280280280279278278278278279280280281281281280280281280280280280280280280280280280280279279279279280279279280280280279279280280280280280280281281281281281281281281281281281280280279279279278278278277277276276276275275275275275275275275274274274275274274274275275276275275275276276275276276276275276276277277276276276275275275275275275275274275275277277277277278278279279279278278278278278278278277277277277277277278278278278278279278278279279279279279279279279278278278278278278278278278278278279279279278278278279279279279278278278278278278278278278279279279279279279280280281281281281281281280280280280280280280280280280280280280280280280281281282282281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282286286284282280278276275273269268266269274275276277275276276278279276277279278280280283282283285283282283284285285286286287288288289290291294295295298297298298298299299299298300300300300300299299301302301300300300301300297296295295296297294295295295295292999292290292291999999999999999999999999999999999289291293294295295296297300300302304305305306306306306307306306305304304305305306307303304304304304304302303303303303304302302302302302301301300299299298298298298299299299299299299300301300299300301301299301301301300299301300300297300300300299299298299297294295295294294293291291291292292293293294295295295295297298298298297298297297298297298296295294295295295294294294295294293295296296293295295294295294295293294294293293293293294294294294293292293292293290292292291292291290290289289290289289290289289289289289289288287287287288288288289289289288288288287287286286286286286285286287286286286286286286286286287287288288288288287287287287287286285285285285285284285284284284284284283284283283284284285284285285285285285284284284284284284284284284283283283283283283282282282282281281281281280280280280280280279278278278279280280281280281280280280280280280280280280280280279280280280280280279279279279279279280279279279279280280280281281281281281281281281281281281280280280279279279279279279279278278277276276275275275275275274274274274274274274274274274275275276275275276276276276276276276275275276276276276276276276276275275275275275275275275276277277277277278279278279279278279278278278278278278277277277277278279278278278278278278279279279279279279279279279278278277278278278277278278278278278279278278278278278279279279279278278278278278278278279279279279279279279280280281281281281281280280280280280280280280280280280280280280280280281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288285280278277274273271269267268270273274273274274275276278278278278278279280281281281283284284284284284284285286288288289289289291293294295296297298299298299299300299299299300300300300299300300300300302300300299299299298297296295296296296297297297293286293290999999999999999999999999999999999999999290293294295296297298300302303303306306306307307307307306305306305305305304305305305305304305305305303303303300301302303305303303302302302302300299300299299299299299299299300300300301300300300300300300300299301301302301301300300300299299299299300298297297297296295295294294294293293294294294295295295296296297298298298297295297297298298297297295294294295295295295294294294292293295294293294294294294295295294294294293293293292292293293294293293292293293291291292292291291290290290289290290289289290289289289289289290289288289288289289289289288288288287287288288287287286287287286286287287287287287287287287287288288288289289288288288288287287286286286286286285286286285285284285284284284283283284285285285284285285285284284284284284284285284284283283283283283283283283282282281281281281281280281280280280279279278278278279280280280281281281280280280280279279279279279279279279279280279280280279279279279280280279279279279280280281281281282281281281281281280280280280279280279279279279279279279278278277277276275274274274274274274274274274274274274274275275275275275275276276276276276276275276275276277276276276276276276276275275275275276276275276276277277277277278278278278278278278278278278277277277276276277278278278278278278279278279279280280279279279279280280279278278278278278278278278278278278278278278278278279279279278278278278279279279279279279279279279279279280281281281281281281281280280280280280280280280280280281281281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287283280278274273271271271270272274273273276277275278277279279278278279280279281282282284284284285284283285287288288288289290291293294295296298299299299299299299299299299299299301302302301300300304303297297298299299298297297297297298298298298297296294286999999999999999999999999999999999999999292293297295297300301301304305306306307307306307306307306306307306306305306305305305304304306305305306306307305304304303303302303303302302302301301300300300300301300299299299300300300301300301300301301301301302302301302301301300300300299299301300300299298298298297297297295294295295295295294294294295296296297298298299298298297296297297298298297296295294296296296296294295294293293295293294294293294295295295294294294293293293294293293293293293293293292292292292292292292289290290290290289289290289289289290290291291290289288289289288289289289288288288288288288287287287287287287286288287287287287288288289289288289289288288288289289288288287287286287286286286286285286286285284285285285284284283284285284285285285284285285284284285284284284285285284284284284283283283283283282282282281282281281281280280280280279279278279280280280280281280280280280280279279279279278279279279279279279280280280279279279279279279279279279280280281281282282282281281281281280280280280279279279279278279279278279279279278277277276276275274274274274275275275275275275275275275275275275275275275276276276276276275276275275276275276276276276276276276275275275276276275276276276276276277277277277277277277278278278277277277277277277278278278278279279278279279279280280280280279279279280280280279279278279278278278278278278278278278278278278278278279278278278278279279279279279279279280280280280281281281282282281281281280280280280280280280281281281281281282282282282281282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999999999999999999999999999282278275276272272272273272273273275275277277277279279280280279280277277279280281282282284286286287288290288288289290291291292293295296296297298298300300300300302302302301301300302302303302302302302301300300300300300301300300300298299298299298297296291999999999999999999999999999999999999999290292295297299302303303306306306306307305307306306307306307307305306305305306304305305306305305305306306305306306305305303303303303302303303304302302301301301301300300300299300300299300301301300302302301301301301301301302300301298301300300299300299299298297297297296296295296296295295295294295296296296297299298298298298297296296297297297296296295296295296296296295294295297294293295295295296295294295295295295294294293294294295295295292293293293292292292292291290290290289290290290290289289289290290290290290291291290289289290289288289290290289288288287288288288287287287287287288287287287287288288289289289289290289289289289288289288287287287287287286287286286286285285285285284284285284284283284285285285285285285285284284284284285285284284284284284283284283283284283283282282283282282281281281281280280280279279279279280280280280280280280280279279279279279279279279279279279279279279279280279279279279279279279279279280281281282282282282281281281281280279279279279278278279279279279280279278279278278277276276276275275274274274274274275275275275275275275275275275274275275275275275275276275275275275275275276277277277276276276276276276276276276276276276276276277277277277277277277277277277277277277277277278278278278278279279279279279280280280279280279279279279279280279279279279279279278278278278278278278278278278278278278279279279279279279280280280280280280281281281281282282282281281281281281280280281280280281281281281281281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289999999999999999999999999999999279277276274274275275275274272274275277276278278280280278280278276277278279281282283285285285287287289288289290291291291293294295296296298298299300300301299301301301302300304303303303302300300300300296297295297301301302300300300302301300298297298294999999999999999999999999999999999999999291296295302302304306307307307306307308308309308307308307307307305305306306305305306305307306306305305306306307306305305304305304305302303304304303303303302302301301301300300300300301299301301299300299301301301301301301301300300301299300300299299299299296299298300297297296295295295296296293296295296297299298297299298298297297296297296297295296296297295296296293292293293293293295294295295296295295295295295294294293294294295294296295295293294292292292292292291291292292291290290291290291290291291291291291292292291290289289290289289290289290290289288288288288288288288287288288287286288288289289289289289289290290289290289289289288288287287287287287287287286285284286285285284285285285284284284284285285284285284284285284284284285285284285284284284284284283283283284283283282282282282282282282281281281281280280279278279280280280281280280280280279279279279280279279279279280279280279279280280280279279279279279279280280281281281282282282282281281280280279279279278278278277278279279280279278278278277277278277277277277276275274275275275275276277275275275275276275275275275275275275274275275275275275275276276276276277276276276276276276276276275275276276276275275275276276276276277276277277277277277276277277278278278278279279279279279279280280280280280280280280280280280279279279279279278278278279278278278278278278278278279279279279279279279280280280280280280280281281281281281282282281281280280280280280281281281281281281282282282282282281282282282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288999999999277280999999283279278277277277276273274276276277278279279278278278279278279278279280280282283285286288288289288289288289290292292293293294295296297297299299299301300302301300301303301303302301302299300299299300301302301298301302302301301301302301300297298294292292999999999999999999999999999999999999294300301301304304307308308309308309310309308308309308308306307306307306307306306307307308306306306306306307306306305305306306306306304304304303303304304303303302302302302301301300299297299301300301301302301300301301301301299298302297300300300300297297298298298298297297299296296297295295295295297298298299298299299298298297297297296296297297298297297297298293294294294295294295295294294295296294295295295295293293296294295296295296295295294293293292292290291293293294294292293292293293292291293292291291291292292291291289290289290290290290289290289289289289288289289288288288288287287288289290289289289290289289289290290290289289289289288287288287288287287286286286286286286286285285285284284284284285284284284285285285285285285285285285285284285285284284283283282283284283283282282283282283282282282282281281280279279279280280280280280280280280279279279279279279279279279279279279279279279279279279279279279279279279280281281281282282281281281280280279279278278278278278278279279279280279279279279278278278278277278278278278277277277277277277277277277277277277276275275274274274275275274275274275275276276276276276276277276277276276276276275276276275276276276276275275275276276276276276276276277277276277277278278279279278279279279279279280280280280280280280280280280280280280280279279279278278278278278278278278278279278279279279279279279279280280280280280280280281281281281281282282281281280280281281281281282282282282282282282282283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999999999999284284286284280280279278278279279278277279280281281280281281281280281281281280282285286287287288289290290288289288290291292292293293294296298298299300300302301303302302301302302301301302300301300300300303302300299298302302302302302302301300297296298296294296999999999295294999999999999999999999295299302303305307306307309310308309310309309309308308308307307306307307307307307308308307306307306306306307306305306307309306307307306305305305305305304304304303303303302302301301301301299301301301301302301301302300301297300300300298299299300299298298298298298299298297297296296297296297297297298299299299299299299299298296296296297295297297298297296293296294295294295295296296296295295296295295293295295296294295295296297297296295295293294294292292293292294294294295294294293293293293292293293293292292291292292292291291291290289290289289290290290291290290290289288289288289289289288289290290289290290290290290291290291290290290289289288289288288288287287288288286286286286286286284285285284285285285285285284284285285285285285285285285285284284284285284284283283283284283282283283283282283283282282282282281281280279279279280279279279279279279279279279279279279279279279279279279279279279279279279279279278280280281281281282282281281281281281280280279278278277277277278279279280280280280281280279279278278278278278279279279278278277277277278278278278278278277277276275275275274274275274274275275275275276276276276276276277277276276276276276276276276276276276276275275276276276276276276276276276276277277278279278278279279279279279279279280280280280280280280280280280280280280280280279279278278278278278278278279278279279279279279279279280280280280280281281281281281281281281281281281281281281281281281281281281282282282282283283283283283282282283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289293292999999999284288284283281282281281280279279281282282284284283283284284283283283283284286287288289289290290291291291292292293293293293294296298299299300300301302301302302302302304304304303303304300302304303302302302302302302303303303302302301297297298297298296296999999999298999999999999999999999296298300303305307305308308309309313310309309308309308308308307307308308308308308308308307308308307307306306306306307307309308306307308306306306306306306304303303302303302303303303302301301300301301302302302302303302302300297300300299299300300299299299298298298298299298298297297298297297297298298299300300299299299299299298298297297295297297297297297297297295296296294295296297296297296296295294293294295296296296296296297297298296296294293293293293292294293293294295294294294294293293292293293293292292292291292292292292291291290290290290290290291290291291291291290289289289290289289289289290290290290290290290290290290290289289290290289288289289288288288288286286286286286286286286285285285284285285285285284284285285285285285285285285285285284285285284285284284284284284283284283282283283283283283283282282281281280280279279279280280279279279279279279279279279279279279279279279279279279279279279279279279279280280280281281282281281281281281280280279279278277277277278278279280281280280280281280279278279278278278278278278279279279278278278278278278278278278278277276275275275273273274274274275275275275275275275275276276276277277277277276276276276276277276277276276275276276276276276276276276276276276277278279279278279279279279279279279280280280280280280280280280280280280280280279279279279279279279279279279279279280279279279279280280280281280281281281281281281281281281281281281281281281281281281281281282282282282282282283283282283283283282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293293293292292289285285284283282281280280282282283284285285286286285285285285286286288289290290292291291291292293294294295294294294296297299301300300299301301302302303302303303304302302300299299299299303302300301303302302302301301302300299299296297297297296295999999298298999999999999999999999295299302304304306309310311311313312312310310309308307308307308308309309309309307308309309308308307307306306306307308308307308307307307307307307307306305305304303301302303302300303301301301302302302302302303303302302302301298300299299299300299299299299297298299299298298297298298299299298298299300299299300299299299298298298298298297297298296297297296297295295296295295295297297296296298297296294296296297297296297295296297297297296296294293293292293293294294294294294293294294294294294294292293292292291292292292292291291290290290290291291291291292291292292292291291290291290289290290290290290289289290289290291290290290290290289289289289289289289289289289289286286288287286286286286286286285284285285285285285285284284285285284285285285285285285285285284284284284284284284284283284283283283283283283283283282282281281281279279279280280279279279280279279279279279279279279279280279279279279279279280280280280280280281281281281282281281281281281281280279278277277278277278278279279280281280281281280279279278278278278278278278279279279278278278278278278278279278278277277277276275274274274274274274275275275275275275275276276277277277277277276277277277277277277277277276276276276276276276276276276276276277278278279278278279279279279279279280280280280280280280280280280279279279279279279279279279279279279279279279279279279279279280280280280280281281281281281282281281281281281281281282281281281281281281281282282282282282282282282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292295291290289287285284281279279281282282283284286286286287287287288288289288289290292291292293293293294295295296295296296296296297299300300300301301302303303304304304304302301300301301302304302303302302300303301302302302300299300301300298299297298293999999999999297303999999999293291294297300303304305306307308309309309312312312310309309307308307308310310310309310310307308308309308307307307306306307307309308307308308308308307307307306305305305304304303302300301301301302301302302302302302301301300301300299299300299299299299300299299299299298300300299299299300300299300298298299300300300299299298298298300300298298298298297297297296296298295294295295296297297297297296296297297296296296297296297297296296296296297296295294294294294293292293294294294294293294294294295293293293294293293292293293292292292292291291290291291291292292291292292292291292291291291289290290290290290290290290290290290291291290290290290290290290289290291290290289289289287287287287287286286286286285285285284285285285284284285285285285285285285285285285285285284285285284285284285285284284284284284284283283283283282282282281281281280279278279279279279279278279279279279279279279279279279279279279279279279279280280281280281281280281281281282281281281281281280279278277277277277278279279280280280281281280280279279278278278277278278278279279279279278278278278278278278278278277277276276276275274274274274274274274274275275276276277277278277278278277277277277277277277277277277277277276276277277276276276276277278278278278279279278279279279279279279279280280279280279280280279279279279279279279278278278278278278278278279278278279279279279279279280280280280281281281281281281282282282281281281281281281281281281281281282282282282282282282282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294292288288286286285282280279279280282282283284284285286288289288290288290290291292292292293293294295296297298297298297298298299298300299299301300301301303304305304304304302302300301302303303304303303302302303303304304305305304303302301299297296297297294294999999999300999999999295296295296301304305306308308309309309309309308309308309309310309310310311310311310310309307311311309308308309308306308308307308308307308308308307308307307306306306305305305304301302302303303302302303303303303302301301302298299299300301299299298300299299299298300301300300299299299300299299300300300300300300300300299299299298299298298298298298298298296295296296296296296296298298299298298297297296295296296297297297296297296296296296297295294294293293293293293293294293294294293293294295295294295295295294293294293292292293292291291291292292292292292291292292292292291292292292292291290291290290291290290289290290290290291291291290290290290290290290290290290290289290290288289288287287286285285285285284284284284285284285284284285285285285285285285285284284285285285285285285285285284285284284283283283283283283283282282282281280280279279280279279279279279279279279279279279279279279279279279279279279280280280280280281281281280281282282281282281281281280280279277277277277277278280279280280280280280280280279279278277277277277278278278278278278278278277278277277277277277277277277276276275275275274274274274274275276276277277277277277278278278278278277278278278277277277277276276276276276276276276276277277278278278278278278279279279279279279279279279280280280280280280279279279279279279278278278278278278278278279278278279279279279279279279279280280280281281280280281281281281281281281281281281281281281281281282282282282282283282282282282282282282282282282282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293289285288284283282280279279279280282283283283285285287288288289290292291293294294294295295294295296296298298298298298298299299300300300300301301303302302304304304305305304301301303304304304304304302302302302301302301302303301301301301301300299298298296295294297294299999999295295298297300304304307308307307309310310310311311310310311311311311312310310311311311310310310312311309308309309312309307308308308308307308307307306306305306305305305304305304304301302303303302302302302302301301301300301298300299300300301301298300300300300300301300300300300299300300301300301300301301300299300300300299299298298298298298297298296297298296297296296297295296299300300298298297297297297297296296297296296296297297296297297296294295294293294294293293294293294294293293293294295295295295296295296295294292292292293292291291291291291291291291291293293292292291291292292292291291290290290290290290290290291291290290290291291291291290290290290291290290289289289290288288288287287286286286285285284284284284284284284284284283285285285284285285285284284284285284284285285284284284284284284283283284283284283283283283282280281281279280281280280279280279279279279278279279279279279279279279279279279280281280280281281281281281281281281282282281281281280279278276276276277278279279280280280280280280279280280279279278278277278278278278278278278278278278278278278277277278278277277276276275275275275274275274275276276277277277277277277278278278278278278278278278277278277277277276276276276276277276277277277278278279279279279279279279279279279279279280279279280280279280280280279279279278278278279278278278278278278278278278278279279279279279279279279280280280281281281281281281281281281281281281281281281281281282282282282283283283282282283283282282282282282283282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289285285284283280279279279278280282283281282285284286289286288289290291293293295294294295296296297298299299299299299300299300300300301301301302303303303303304304304304303303303304304304304303303303303303304304303304303304303304304303303303301300298299298299298296999292295297297297299302305306306305307310310308311310310310310311311311311311312312312311311311311310310309310309309310310310309311308309308307307306307308309306305305305305305305305304304303302303303302301301301302301301300299300299299300300301299300300300301300301301301301301301301300301300300301301301301301300299300300300301300298298297298298298298297298297296296296297297297297298297298298297298297297297298297297297297297296297297297297297296294294294293294293293294294294293294294294294295295295296295296295296294293293292292293292292290292292291292293292293293293293292291292292292292292291290290290290290290289290290290290290290291290291291290290290290290290290290290290289288288287287287287287286285285285285285284283283284284284284284284284284285285284284284284285285284285285284284284284284284284283284283283283284284283282282281281280281281281281281280279279278279279279279279279279279279279279279280280281281281281281281281281282282282281282281281281280279278276276276277278278279280281281281280280280279280280279278278277278278278278278278278278278278278278278277277277277278277277276276275275275275275275276276277278278278277278277277278278278278278278278278278278278278277277277277277277277277277278279279278279279279279279279279279279278278279279279279279280279279280279279279279278278278278278278278279278278278278278278278278279279279279279279279280280280280281281280280281281281281281281281281281282282282282282283283283283283283283283283283283283282283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288285285285284282280277277278280281283282286287289288290290290290291291294295295295295296296297298299299299299300299300300301301301301301302300301301304305305305304303305305304304302304303303303304305305305306306306306306306305305304304304303300301301301301300298296295296298297297303305305307307307308311311308311311311310311310310311311311311312311310311311309310310311310310310309309310312308308308308308308308307307308307306306305305305306304304303301304302302301301301302301300302301300300299300298301299300300302301301301301301302302302302301302302302302302301301300300300300301300301302298300300299299299296299298298298298296296298298298298297299299298298298297297297296297296297297296295296297296296296295295294294293294293293294294295294294294294295295295295296296296296294294294292293292293293292291292292292293293293293293293293292293293292292291291291291291290290291290290289289290290289290290290290290290290290290290289289289289289288289289290290289288288288287286285286285285285284284284284284284284284284285284284284284284285285285285285284284284284284284284284284283283283283284284283283283281282281281282281281281280280280280280280279279279279279279280280280280280281281281282282282282281282282282282282281281281280278277277277277277278278278279279280280280280280280280280280279278278278278278278278278278279278278278277278277277277277277277277277276276276276276276276277277277278278278278278278278278278278278279278278278278278278278278277277277277278278278277278279279279279279279279279279279279279278279279279279279279279279279279279279279279279279279279278279279278278279279279279279278278278278279279279279279280280280280280280280280281281281281282282282281282282282282283283283284284283284284283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293290289288286286287284283278276272276278279283287286291293293294294295294294294296297298299299299298298298299298300300300300301301302302301302302302304304304305305304304304304304304304303303305305305305305306306306306306307307307306305306305305304305303303303301301301300299298298297297300305305307308309310311311310310310311310311311311311311312311311311311311311310307310311312310310311311310308311308310310309309308307307307305307306306305305305305306305304304304303302302302302301302302302302302298298298301302300301302302302302301302302302303302302302302302302302302302301301300300299300300301300299298299299298299297298299297298298297297298297298297298298299298298298297296297296296296297297298297296297296296294295294294293294293293293293294294294294294294294294295295295295295296295294294294293293293293292291292292292293293293293293292292293293293292291290291291291292291290290289289288289289289289290290290290290290290290289289288288288289288287288288287287287287288287288287286286284284284284284284284283284283283284284285284284284284284284285285285285285284285284284283284283283283283283283283282283282282282281282281281281281281281280281281281281281280280280280280280280280281281282282282282282282282282282282282281280281280279278277277277277277278278278279279279280279279280280280280280280279278278278278278279279279279279279278278278278277277278277277277276276277276277277277278278277277277277277277278277278278278278278278278278278278278278278278278279278278278278278278278279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279279278278279279279279279278278278279279279279279279280280280280280280280281281281281282282281281282282282283283284284284284283283283283283283282283283282282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295292291290290289287286280279276271270274277281283287289291292292292293293292293294296297299299298298298299301300300300300300301301302302302302302303304304304304305305305305305305304305305304304304305305306306306306307307306307307308307306306306306305304304304304301300301299300301299999301304304306308309309310309310310308312311312311311311311311311311311310311311311308308311310313313311311310307307308310311307309308309307307306306306306305305305304304304304304304303303302302301301301301300299300300300300300300300301302301301301301301302302302302302302302302302302302301301301300301300299301300300299300299299299300299299297296298297297296298298298297299298299298298297298296297297296295296297297298297297297295295295294294294294293293293292293294294294293293294294294295295295295295295295295294294294293292293292292291292292292292292293292292292292293293292293291291292291291290290291291289289289289289289290290290289289290289289288288288288288288289286288289288288288288289288287288287285284284284284284284283284284283284284284284284283284283283284285285285284285284284285284284284284283284284283282283282282282282282282281281281281281281280280281281282282282281281281281281280281281282282282282283282282282282282282282281281280281280279278278277277277278278278279279280280280279279280280280280280280279279279279279279278278279279279279279278278278278278277277277277277277276277277277277277277277277277277277277277278278277278278278278278278278278279279279279279279278279279279279278279278279279279279279279279279279280279279279279279279279279279279280279279279278279279279279279280280280279279278278279279279279278278279278279279279279279279279279279280280280280280281281281281281281282282283283283284284284284284283283283283283282283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300299297296294294292290285283277273272274275277280283287289291291292294293294293291294296297297297299300299300300300300300301301301302302303303303303303304304305304305305305305304304305305305305305304304304305305306306307306307307307307309307306308307306307306306304306305303302301301301302999301305306305306308308310310311310312309309312312312312311311311311310306310311310308310312312311309309309309309311310310308308308310310308306307306306305306305305305304303303304303303303303303301301300300300299301301300303302302302303303302302302303303302303303303303303303303302303301301301300299300299301301300298300299299299298298298300298298298297297297298297299299298298299298298297298297297298297297297297297298296296296295296295294295294294294294293293294293294293293294294295295295294294294295295294295295294293294293292293292291291291291291291291292292291293293293292292292291291291290291291291290290289289290289290289286289290289290289289288287288287287287288287288287287287287287288288288288287286285285284283284284284284284284284284284284284284283283284284285284283285285285285284285285284283283283283283282282282283282282282282281281281281281281281281281282282282282282282282281281282282282282283283283283283283283282282282282282281281281280279278277277277278279279280280280280280280280280280280280280280280280280279279279279279279279279279280279279279278278278278277277277278278277277277277277278278277277277277277277277278278278278278279278279279279278279279279279279279279279279279279279279279279279279279279280280280280280280280279279279279279280279279279279279279279279279279279279279280280279279278278278279279279279278278278278278278278278278278278279279280280280280280280280280281281281282283283283283284284284283283283283283282282282283283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300303298300300300298295296293287285279278276276277278279284288290292293294295295296294295295295296297297299299299300299300300301301300302302303303303303303304305305306305305305304305304305305305305305305306305305305305306306306307307307307308309308308308304305307307307307306306305302305304302303301302304304306307307308309310310309309312312313313312312312312312310310307309311311309310309309309309309308310309309308310308308308308307307307307306306306306307306305304304303302303303303301302301302301301300300300301301302302302302302302302302302303304303305303304304304303304304302302301301301299300299300300300297299299299298298299298298297297298297297298298297299299299299299298297297299298298298297298298296297297297296296295295295295295295295295294294293293293293293293293294294294294294293294294295295295295294294294294293293292291291291291292292291292292292292292291292294292292291291290290290290290290289289290290289290290290289289288289288288288287287288288288288287288287288288288289288288290288287286285285285284284284285284284284284284284284284284284284284284284284284285285285285285284284284283283282282282282282282282282282282280281280280280281281281281282282282281281282282282282282282283283283283283283283283283282282282282282282281281280279279278278278279279280280280280280280279280280280280280281280281281281281280279279279279279279280280280280279279279279279278278278278279278278278279279280279279279278278277278278278278278279279279279279279279279279280280279279279280280280280280280279280280280280280280280280280280280279279279279279279279279279278278279279278278279279279279279279279279280279278278278278279279279279278278278278278278278278278278278279279279279279279279280280280281281282282282283283283283284284284283283283283282283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302297298301299300300298296295292291288284278278276278279279284290293293294295297297296295296296297297297298298298298298299299299301302302302303303303303303304305305305306306306305306305305305305306305306306307307307306306306307307306307308308309309309308308306306308308307306306306305999305306303999300304305305307308309310311311312312309312313313313312312312309310310309308310310310309307308309309308311308309309310309308307307307308308308308307306305306306305305304303304301303304303303302302303302301302300301302301302302302303303302302303303302303304304305304305303303303303302302301301301300301299300301300300297298299300299299300299299297296298298298298299298298299300299298298300297299299298297298297296295297297296296297296296296295295295295294294294293293293293293293294294294294295293293295295295294294294294294294293292292292293292292292291291291291292292292292293293294294293292291291291290290289289289290290290289290288289290289288289289287288286287287287287288288287285285286287287287287288288288288286284286284285284284285284284285285284284284285285285284284285285285284284284284284284284283283283282282282282282282282281281281281280280280281281281282282282282282282282282283283283283283283284284284284284283283283282282281281281281281281280279279279279279279279279279280281280280279279280280280280280281281282281281281281280280280280280280280281280280280280280280279279279279280280280281281280281280280280280280280280280280280280280280280280280279279279280280280279279279280280280280280279279279280280280280280281280280280280279279279279279279280279279279279279279278278278279279279279279279279280280279278278278279279278278278279278278278278278278278278278278279279279279279279280280280281281282282282283282283283283284284283282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999294295297299295293293295296295296295294298296291290284281279277278277280284288291294296295296295295296297297297297299299299298298298299299300301301302303303303304304303303304304305306307306306305305306305305305305306307306307307306306307308308308308308308308308309308307306308308308308307306306999999999304302298303305306306307308308309309308311311312313313313313312312309308309309309308310310309309308309308309309308309307308309308308307307308307307307307306305306306306305304303304304302303304302302304303303303302302301301302301302302303303302302302302302304303306304304304304303302303303303302301302301301303301303301301300298300300300300299299298298298297298298297298299298299298299300300300298298299297297298298298298297297296296297296296296296296295295295295294294294294293293293294294294294294293294295295294295294294294295293293294292292293293292292291291291291292292292293293294294294294294293292291290289290289289289290290290290290288288290289288287288288287286286286287287287286287286287287285286287288288287289288286285285285285285285284285284284285285285285285285285285285286285284284284284285284284283283283283282282282282282282281281281281281280280280281281281282282282282283283283283284284284284284284284284284284283284283283282282281281281281281281280279279279279279279278279279280281281280280280280280280280281282282283282283283281281281281281282281281281281281281281281281281281281280281281281281281281281281281280280280280281280281281280280280281280280279279279279279279279279279279280280280279279280280281280280281281281281281281280280279279278279279279279279278279279278278278278279279279279279278278279279279279279278278278278278278278278278278278278278278278278278279279279279279279280280280281281281282282282282283283283284283283283282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295295294290999999999296301296294291293291288286283280276276276278282284289293295296297297296297297297297297298298299299299299299300300301302302302303303303303303304303304304305307306308306306305305306307306306307307307308308307307307307308308308308309308309308308307308308308308308308307304302999303303302298303305305307308308308309309308308309313312310309308312312309309309309312308310310310309309309307307308309309308308307307308308308307307306307306305305305305305304305303303304303304304303304304303304303303302302302301302302303303302302303302302303303303302304304303303302303303303302303305302302302304303303302299301301300299299299299299299299297298298300298298299299299298299300300300299299297296297298298297297297297297296296296296296296295294294295294294294294293294293294294294295294294295295295294294294293293294294292294294292292294294294294292291290292292293293294293294294294295294293293292290290289289289289290290290289290288288287287288287286286287287287287287287285286286284287285285286287287287288287287287286285285284285285285284284285285285285285285285284285285285286285284285285285285283284282283283282282282283282282282282281281281280281280281281282282282283283283283284284284285285285285285285284284284284284283283282282281280281282281281280280280280279279279278279280280281281281280280280280280280280281282283283283283282282282282282282282282281282282282282282282282282282282282282282282282281281281280281280280280280280281281281281281281281280279279279280279279280279279280280280280280280280280281281281281282282281281281280280279278279279279279278278278278278277278278278278279279279279279279279278279279279279279278278278278278278278278278278278278278278278278279279279279279279280280281281281281281282282282283283284284284283282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300293291291999289286284278275277279279282287293295296297298298297298297298298298298299300300300300301302301302302302303303304303303304304304306305305306306307309307306307306306306306307308307308307307307307307307307307307306308307307308308308308307308308308308307304304305303304302303305306307309310311311311312310310310313309310312312312311310311310310310310309309310309308307307307309308308307307307306308307307307307306306305305306305306306305305305305304304304305304304304303304303302302302302302302301302303303303303303304303305303303303303303303303302303302303303303303303302303303300300300301302299300299299300301300300299299300299299298299298299299298299299299298296299299298297298297297297297296297296296296296295294294294294294294294294294294294294295295293295295296295294294293295294294293293293293293293294294293292292291292293294295294295295295296296296295294294293292291290290289290290290290290290290290291290289288289287286286286286286287287287286286286287287288287289289288288287287286286285285285285285285285285285285285285285286285285285286285286286286285285285284284283283283283283283283283283283283282282281282282282282282282283283284284285285285285285285285285285284284284284284283283282282282281280281281281281280280280280280280279279278279280281281281280280280280280280281280281281282283283283283283283283283283283282282282282282282283283282282282283283283283282282282281281281281281281281281280281280281281281281280279279279279279280280279280280281280280280280280280281282282282282282282282281281281281280279280279279279278278278278278278278278277278278279279279279279279279279279280279279279278278278278278278278278278278278278278278279279279279279280280280280281281282282282282282282283283283283283283282282282281282281281282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297293293288999999999282279279279281284287292295296297299299299298297297297298299299299299300301302302302302302302303304304305304303304304305305305306306307307307309306306307306306307308307308307307307307306308306306307307306308307307307309307307307308308307308307306306307306305305306307308308310310308309309310310310312312313311313312309308312310310311308310309309309308308307307307307306306306306306307307308307307307306305306305305303304305305305302304303304304304304304303303302302303302301302302302303303303303303304302303302302301303303303303303303301303302303303302302302303302300302299298300300300300299299299300298300298298299299298298298299299298299299298299298299299299299298298298297297297297297297296296295295295295295295295296295295294295295294295295295295296296296295293294294294293293294295294293294294294292292292293293294295296296296296296295296295294293293293293292291291291291290290289290291292288288290290289289288287286285285288287286285285285285286287287287289286287287287286286285285285285286285286285284285284284286286286286286286286286285285285285286285284284284284284284284283283284284283283283282282282282282283283283284284285285285286286286286285285285284284283284284284283282282281281281281281281281280280280280280280280279279279280281281281281281281280281281281280281280281282282283283283283283283282283283283283283283283283283283283283283283283283283282282282282282281281281281281281281281281281281281281280279279279279279279280279280280280280281281281281281282282282282282282282282282282282282282281280280280279279278278278278279278278278278278278279279279279279279279279280280279279278279278278278279279278278278278278278278278279279279279280280280280280281281281281281281282282282283283282282282282281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288286284999284279282283286291293296298297298299300299298298297298299299300299300301302302302302302302302303304304304304304305304305305304306306307307308308306307307307307307308307307306306306306306306305304308306305305307306306307307306308308307307308308308307306307306306307308309310310310311309311309310310310310311311313309310311312311309310308308309308309307307308307307307307307307307307307307307306306306306306306306306306305305304304304304304304303304303304303303303303304301302303303302303303302303303303303303302302303303303303302302302299302302302302302302303304302303300300300299300300302299299299298298298298297298298298298299299299297299298299298299299299299299298299298298297297297297296296296295295295295296296295295295295295296295294294295296296296296296294294294294294294294294295295295294293293292293294294295296297297297297297297297296296295295295295294293291290291290289289289290291290290289291287289287288289287289288287287288286287285284288286286286289288287287287286287286285286286287285286284284284285286286286285286287286287285285286285285285284285284284283284284284284284284284284284283283283283283283283284284285285286286286286286286286285285285285284284284283283283282282281280281281280280281281280280281281281280280279279280280281281281281281281281281281281282281281281281282282283283283283283283283283283283283283283283283283283283283283283283282282282282281281282282282281281281281281281281281281280280279280279280280279280279280280280281281281281282283283283283283282282282283283283283283283282281280280280280280280280279279279279279279279279279279279279280279280280280280279279278278278278278278278277277277277278278278278278279279279279279280280280281281281280281281282282282282282282282281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283277281284287291294295298299299299301299300300299299299299300299300300302302303302303303303303303304304304304305305305305306306306306307308307307307307307307307308306308306306306306306305305305305307307306306307306307307306307307304307307308308308308308307307308309310309309310310311311313311311310311312311312313310311310311308309310309310310309308307308308307307307307307308307307307307307307306306306306306306305306306306304303304304304304302305304303303303303304303303303302303303301303303304303306303303303305303302302303302302303303302303302303301303304302301303302300301302300300300300299299300299298297298300298299299300298299297298299298300300299299298299299299299299298298297297296296297296296296296296296296297296296296296296295295297297297297297296294295295294295295294293294294295294294294294294295296297298298299298297296297297296296296295295295296294292291290290287288289288289291291291290291290289289289288288287287288288287287288287287288289288288289289289288287287287286287287287286285285285285285286286286286286286286286286285286285286284285284284283284286285285285285285285285284283283284284284284285285286286286286286286286286286285285285285285284284284283283282281281280280280280280280280280281281281281281281280279279280280281281282281281281281281282282282282281281281282281283283283283283283284283284283283283283283283283283283283283283283282282283282282282282282282281282282281281282281281281280280279280280280281281280280280280281281282282283283283283283283283283283283283284284284283283282282281281281281281281280280280279279279279279279279279280279280279279280279279279279278278278278278278277278277278278278278278279278279279279280279280280280280280280280281281282282282282282281281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290288281280282286289293296297299300299300300299300300299299300299299300301301302303303304304304305305304304305304304305306305306306306307307307307308308308308307308307307308307306306306305305306306305307307307307307306307308308307307307306307307307307308308308308308309310311310310311313313311311313312313310310312310311310309308310310309310310309308307307306307307307307308307308308308308307307308308307306308307307306306306306306305305305304305304305305305304304304304304304303303302302303303303303301302304303303303304305303303303302302301302302301302303301302303303303302300301300302302302302300299299298301300300299299299298299300299301298300300299300300299301300300300298299300299297297296296296296297297297296296296296297297296295297296296297296297298297297296294294296295295294294294294294295294294294295296297297297298298299298297298297296296296295294295295295293293291291291290290289289291290291288292292291291288287288287287286288288286286286286286287288287287287287286286287286286286286287286286285285286285286286286286284285285285285285284284284285285284284283284284284285285286286286286285285284285284285285285285285286286286286287286287287286286286285285285284284283283282282281281280280280280280281281281281281282281281281280279279280280281281281281281281282282282282283283282282282281282283283283283283283284284284283283283283283283283283284283284283283283283283283282282282282282282282282282282282282281281280281281280281281281281281281281282282282283283283283283283283283283283284283283283283283283282282281282281281281281281280280280280280280280279280280280280279279280280280279279279279278278278278277278278278277278278278278278279279279279279279279279279279280280280280281281282282282282282281282281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294291290284281281283285291296299301300301299300300300300301300300299299299300300301302303304304304304305305305305305304304304305305306306306307308307308308308308307307307308307308307306306306304304305305305306306306306306306307307306307306306307307308308308308309309309309310311311311311310313312312311312312310310311310311310308308308310310309309310309308308307307307307307307307307307308307308308308307307307307306304306305306306305306306305305304305305305304304304304304305303304304302302304304303303304305306303303304303304303303302303302302300300304304302302303302303303301301300300301299299300299299299299299299300300299299295299300299300300299299300300300300301300300300301299298299298298298298297297297297296296296296296296297296296297297297297297297297296297297296295296297296295295295294294295295295295296296297298298298299298300299298298299297295296296296295295295294293291291291292291291290291291291292291293292291290289287289289289288287288286289287287286287287287288288286287286286286286287286286287287285286285286286286285285285284285286285286285284285285286284284284285285286286286286286286286286285285285286286286286286286286286286287287287287286286286285285284284284283283283282281280280280281281281281281281281281281281281280280280280280281281281281281282282283283283284284284283282282282282282282283284283284283284284284284284284283283284284284283283283283284283283283283282283283282282282282282282282281281281281281281281281281281281281281282282283283283284283283283283283283283283283283284284284283283282282281281281281280281281281281280280280280280280280280280280280280280280280280279279278278278278278278278278278278278278279279279279279279279279279279279279279279280280280281281281282282282282282281281281281281280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291999999296288286285285287291295298300300302301300300300301301301301300299300300301301302303304304304304304304304305304304304304305306306306306306306307307307307308307308308307307307306306306306305306305305306306306307306307307308308308307306306307308308308308308310310310310310311311311313314314313311311313312312312312311310309311308309309309309309310309308308308308308308308307306307308307308308308307307307306306306305307307306305307306306305305306305305305305305304304304305304303302302304303302303302303307304303303303303301302302303303302302303303303303303302303304301302301301301300300299299298299298299299298298298299297299297298299299296297300300299299300301302302301300300299299299297299298298298298298297297296296295295296296296297297297297297297296297296297297295295296296296295295294294295295295296296297297297298298299299299300299299299298297296296296296297296295293293292292292292292291291290292292292293294293292289288289289288288289289289288289287286287289288287286287287286286285285286285285286287287286286286286285286286286286285286286285285286286285285284284284285285285285286286286286287287287286286286286286286285287287286286286286287287286286286285285285284284284284283282282281281280280281281281281281282282281281281280280280281281281281281281282282283284284285285285285285285283283282282281283283284284283284284285284284283284283283283284283283283283283283284283283282282282282281281281281281281281281281281281282281282282281281282282283283283284284284284284283282283284283283283283283284283283283283282282282281281281281281281280281281281281281280280280280280280280280281281280280280279279279278278278278278278278278278278279279279279279279279279280279279279279280280280280281281281282282282282282282281281281281280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999999292292290288290290290291294297299300302302301300301302300300299299300300301301302303303303303303304304305305304304304305305305306306306306306306307307308307308307308307307307306306306306306306306306306307307307307307307308307308307306307307308308308309308308309310311310310310310312313313313312312312312312312311310311310310311309309310310310310310309308308308307308308308307308308308308308308308307307307307308308309309308308308307307306306305306306306306306306305304303302304302303304303304303302303303305303303303303303302303301302302302304303303302303303304304304300301302301300300301299299298301301298298298298298298300298298297297300299299299301300300301301302301301301301301300300299300298298299299298298298297297296296296297296297297297297297296296297297296296296296296296296295294294294294295296296296297297297297298299298299300299300300299297297297297298297297295294295294292292290292290290291291294294293293293292291290288288288289289289290288289289289289289288288289289288287286287287286286286286286286285287286286286286286286286285285285285286285286285285285285284285285285286286287287287287287287286287286287286286287287287287287287287287287287286286286285285284284285284284283282282281281280281281281282282282281281280280280281280281281281281281281283284285285285286286286286285285285284282281282281282283283283283283284284283283283283284283284283283282283283283283283283283282282282281281281281281281281281282281281281282282282282282283283284283284284284284284284283283283283283283282283283283284283283283283282283282282281282281281281281280281281282281281281280281281281281281281280280280280279279279278279279279279279279278278278278279279279279279280280280280280280280280280280281281281282282282282281281281281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303298293292292291291291292296297297300301299300300299301300299300299300301301302304304303302304305305305304304306306306305306307306306307307307307308308308308308307306307307307307306307306306306306306307308307307307307307307308308307308308308308308309309310309310310310311311313313313312312312312313314312310311309310311311311310310310309309310310309309308308309308308308307308308308309308308307307308308308308307307307307308308306307306306306305307306307306305302303303304304303304303303303304304304306302303303303304303303303303303303302301304302303303304304303303301301301302300300301299299300300301300299298298299299299299299297299300300300299299300300301300301301301301301300301300299298297299299299299298298298298297298297297296298297298297297296296297297295294295296297296296294294295295295296296295297297296297297298299299299300300300300297297297296297296296297295296295295293293291291292290291291292292293294295293293290290289288288289289289288290289289289288287287287289287287288287286288286286287287285286286287286287287286286285285285285285286285286285284284285285285285286286286286286287287287287286286286286286286286287287287287287287287287287287286285284284284284284284284283283282281280280281281282282281281280281280280280281281281281281281282283284285286286286286287286287286285284284283281281282282282283283284284283284283283283283284284283283283283282283283283283283283283282282282282282281281281281281281281281282282283283283283284284284284284284284284284284284283283284283283284283283283284283283283283282283282282282282282282282282282281281281281281281281281282281281281281280281280280279279279279279279279279279280279278279278278279279279280280280280280280280281280280280281281281281282282282282281281281281280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999999999300294295295293293292297297299298299299298299300300300299300299300300301301302302303302302303304304304305305305306306306306307306306307307307308308307308307307306306307307306306306306306306306307307307307307307307307307307307308308308308308308308308309310310310311311312312313312313313314312312313313312310308310310310311311311310309310310310309309309308309309308309308308308308308308308308309309309309309308308306307307307307307306307306306306306305306305304303303304304303304304304305304304304305303303303303304303304304303304304304303302304302303303303301302303301301301301300301301301299299299299299298298299299299298299298299300300301299299299300299299300301300301301302300301299302301299298298298298298299298298301297298298298297297297297297297297297296296296295296296296296295294295295295297297298296296297297297298299300300301300301300298297297297297296298298297298295292293292292293292292292292292292293293292293292292291291290290288289288286287290289289289287289287286287287287287286287287288289286287287285286286287287286285286285285285285285285285285285285285285285285286286285286285286286286286286285287286286286286287287286286287287287286286286286284284284283283283284283283282282281281281281281282281281281281281280280280281280281281281283284284285287287287287288287287286285285285284282282281282281282283283283284284284283283284284284284283284283283283283283282282282283283283282282282282282282282282282281282282282283284284284284284285284284284285284284283283284284283284284284283283284283283283283283283283282282282282282282283282282282281282281282282282282282281281281281281280280280280280279279280280279279280279279279279279278278279279279280280280280280280280280280280280280281281281281282282281282281281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295307304295999296296294296295293294297299298297297297298299299299298300299300299299301301301302302302303304304305305305305305305306306306307306306307307308308307307307306306306307307306306306306306306306306307307307307306307307307306307306307308308308309308309309309311311311311312312311312312312312311312312313312311310311310310310310310311310310310310310310309308307308308308308308309308308308308308309309309310309309309308308308307306307308306306306306306305307307306305304304304305304304303305305305304304304303304304304303302304304303304300304303304304303304303302301302301300302302302301303302300299298299299300299301299299299297299299300300300301300300300299298300300300302302301301301300301300300299299298298298299298298299298298299298298298297297299298298297297296298297295297298298296295295295296296297297298297296297297297297299300299300300300299299297297296297297298298297298295293292293293293294292291291291292291292292292291292291291291290290290289289289290291289288288287288287288287288287287287287288288288287287287287287287287286286286286286286285285285284284285285285285285285286286286286286285286286285286286286286286286286286286285286286286286286287287286285284283283283283283283283282282282282282282281281281281281281280281280281281281281282282283285285286287287288287287287287287286285285284284283281281282282283283283284284284284284285285284285284284284283283283282282282282282283283283282282282282281282281282282282283284284284285284285285285285284284285285284284283283283284284284284283283283283283283283283283283282282283283283282283282281281282282282282283283283282282281281281281281280280280279280280280280279280280280280280280279279279279280280280280280280280280280281281280281281281281281281282282282282282281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304302296296296297295293295296298298297298298298298298299299298297299299300300301301302302302303303304304305305305305305306306306306306307307307307307306307306306307306307306306305305305306306306307307307306307306307308307306306306306307307307308309309309310310312311311312312312312310312311312312312311313311310310311311310310310310309311310310310309309309308309309308308308308308308309308308308309309309309309309309309308308307308308308307306306307306307305305306306305305306305304302303304304304304304303303303304304304304304304304302303303303300303303302302302300301302301301302302300299301301299298298299301301300299301299298299299300300300300299300300300300300300302301301302301302302301300300299299299300299298299298298298297298299299298298298297296298298298297297298296297297298296296295296296296296296297297298297297298297298300299299299299299299299299298298298297297296298296294294295294293293292292291290291291291293292291291291291291290289289289290287288286286288288287286286286286286286286287288287288288288288287286287286287287287286286286286286285284283283283285283285285285285286286285285285286285284285285286286286286286286285286286286286286286286286285285284283283283283282282283282282282282282282282281282282281281281280280281281281282283284285286286288288287288287287286287287287287287285285283281281282282282283283284283285285285285285285284284285284284283283283283283282282282283283283283282282282282282282282283283284285285285285286285285285284283285284284284284284284284284284283283283283283283283283283283283283283283283283282282282282282282282282283283282282282282281281281281281281281280280280280280280280280281281281281280280280279279279280280280280280280280281281281281281281281281281281282282282282282282281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307303297297298297296296298298298297298300298298298297299298298298300300301301302301302303303304304305305304306306306306306306306306306306306307307306306306306304305305305306305305305305306307307307307307306307307308307307307306306306306306306307308308308309310311310310312312312312311312312312311312310310311312311312311310310310310310310310310309309309309309309309309309309309308308308308309308309310310310309309309308308309308307307307306307309307306306304305305304304306305304304305303303304304304304303303303304304304303303304305303304303303303303303302301302302302301302303301302302302302302300299298299299300299299300299298299300300299300299300299300300300300300300300300300299301302302301300300300300300299299299299298298298298298299297298300295296298297296297297296296296297297297296296295296296296296296297297297297297297298299299299298299299299299298297297298299298297297296295295295295294294292292291291292291291292291290291291291291289290288289289289286287289289289287286285286286287286286287287288288288288289288288288288287287288287287286285285285285285285285285284285285286285286286285285286286286286285284286286286286286286286287286286286286286286286286285284283282282282282283282282283283283283282282282282281281281281280280281282283284284286286287287288289288288287287286287287287286286286285285282281282282282283283284284285285285285285284285284285284284283283283283283283282282282282283283283282282282283283283283284284285285285285285285285284284285285284285284284284284284284283283283283283283283283283283283283283283283283283283283282282283283283283283283283282282282281281281281281281281281280280280280281281281281281281281281280280280280279280280281280280280280280281280280281280281282281281281282282282282281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306305300300299296297300298297299297297297299299300300298299300299299301302302303304303305303304305305306306307306305305306306306306306305307307306306306305304305305305305305305305305305306307307307307307307306307307307307308307306306306307306307308309310309310311311311312311311312311312312312311312311312313312311311311311311310311310310309309309309310309310309309309310309309309309309309309309310310310310310310310308308309309307307305306307307309309304305304305306305306305305305305303305305304304304303303303304304303302303303304304304303303303303301302301302302301301301303303302302302300302301300298299299300299300300300299300300299299300300299299299300299299300300302300301300302302300301300299300300301300299299299299298297298297298298297299298297297297296296296296294295297297295296295296296296297297296297296297297298298297298300300299298298298297297297298298298298297297297296296295295294294294293292292292292291291292291292292292292290291288288290286287289289289290289288287288286288286287287287288289289289288288288287287288287287287287285286286285285285284284286285285284285285285284285286287286287286285285284286286286286286286286286286286286286286286286285284283282282282282282282282282282283283283283282282281281281281281281282283284285286287287288288289288287287287287286287287287286287286286286283282282281282282283284284284284285284284285284284284284284283282283283283283282282282282282283283283283283283282284284284284285285285285285284285284284284284284284284284284284284284284284283283283283283283283283283283283283283283283283283283282283283283283283282283282282281281281281281281281281281280280280281280281281281281281281281280280280279280280280280280280280280280281281280280280280281281281281282282282282281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306301299300300301300301297298299299299298298299300300299299300300300301302302303303305305305304305306306306307305305305306306306306306307307307307305306306305305305305305305305305306306307307307307307307307307308307307307307306306304304306307308309310310309309310312312312312311312312313312312313312312312313312311311312311310310311310309308308309310310310310310310310310309309309309309310310310310310310309310310308308307311308307308308307307309308306307306305306306307306303304304304304304305305304304304304302303303303304303303303303304303303303302301301301302302301301301302303302302302303300299299300300300300299299299300299300300299299299300300299300301300300299300300300301300302302301300300301300300300300299299299298298299299298298298298298298297296297297296297297296296297297297296296296295296297297297297297296296297298298299299300299300298298298297298298298297297297296297297296295295294294294294294293293293292292292292292293292291292290289289289288289290289290289289288288286289289289289289288288289289289287288288287288288287288288289289288288286286285285284286285285285286285285285286287287287287287287286285286286286286286286286286286286286286286286286285284283282282281281281281281281281281282282283283282282282282281281282283284286285287287287288288289288287287287288287287287286287287286286287284282282281282282283283284284284284284284284284284284284284283282283283283282282282282281282283283283283283284284284285285285285285286286286286285286285285285285285284283284284284284284283283283283283283284284283283283283283283283283283283283283283283283283282283283282281281281281281281280281281281280280281281280280281281281281281280280280279279279280280280280280280280280280280280280280280280280281281282282282281281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999309308305299297300302303299297298299298298298298299300299299300300301301301302302303303304305304304304304305305305306306306305305306307305305308307307305306305304304304305305306305305306306307306307307307308307308307308307307306307307306304303306306307309309310311310310312312311312311312313314313311312312312312312312311312311311310310309308308308309309309310310310310310310310309309309309310310310310310310310310311309307308308308309309308307308308307306306307306306306306307305304304304305303304305305305305304303300302302303303302303303302304303303302301302301302302300301300299300301299302302302300300303298300300301300300302301299301300299299298298299299299300299299299300301300301301300301301300301301301300300300299299298297298299299298298297298297296297295297295295296296296296297297296294296296296297297297297297298296297297297297298299299299300299299298298298297296295296297297296297296294295294294294294294294293293292291293292292291291291291291291289289289287287287289289289288289287287287287287287288289290290289287288287290290289287288289287287287288287286287286286286286286286285286286286286286287287287287287287286285285286286285286286286286286286286286286286286284282282282281280281281280280279279280281283283283282282282282282283283284285285286286287288288288288287287287287287287287287287287286287287286284282282282283282282283284284284284284284284284284284284283283284284283283282282281282282282282284284284284284284285285285285286285286286286286286285286285285285283284285285284284284284284283284284284284284283283283283283283283283283283283283283282282283282282282281281280280280280280280280280281281280281280280280281281281281280280279280279280280280280279280280280280280280280280280280280280280281281282282281281281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305301293296297300302301299299298297298300298299300300300302299300301301300302302302304304304304303303305305306307307305305306305305304306307307307305306305303304303305305305305305306306306306307307307308307307307307308306305305307307303302303303304306309310313310311311311313312312312313313312313312312311312312311311311311311310310309309308309308309309309311310310310310309309309309310310310311310310310309309310310308308309309309309308307307307307307306306305305306306305305305305304304304304305305304304303301303303303304303303303303305303303303303302302302302301302302301300299299300301300300301301300300301300301301300301301301301300301299298299298298299299299299300300301300302302302302301300299300300300300300299299297297298297297297296297296297297296296296296295296296296296296296295297296296296297297296297297298298299299297296298299299299299299299299298296297296298298297297297297296295295294294293292294294294292291292293292291292291292291293292292290288288287287288286289289290289288287286286287288289290290289286287289289290287288289288289290289289287286286286286285287286286286286286286286286286287286286287287287286286286286286285287286286286286286286285286286284283281281281280280281281280280279279280282283283283283282282283283283285285286287287288288288288288288287287288288287287288288287287287287287285283283283283282282283284284284284284284284285284284284283283284284284283283283282282281282282283284284284284284284285285285286286286286286285285284286286285285284284284284284283284284284284284284283284284283283283283283283284283283283283283283282282282282282282281280279280280280280280280280280281281281280280280281281281280280280279279279279279279279280280280280280281280280280280280280280281281281281281281281281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304298292295300300300299298298298297298299297300300300299300301300302301303304302303304305305304303304304305306307306306306306306306308307307307305306306305304304306305305305305305306307306307308308308307307307306306306306306305305305303302306300303306308309311310311311310311312312313314313312312312313312313312312311311310311310309309309309309308308309310310311310310309309310310310310311311311309309310310308309309308308307309308308307308307308307307307307306306305305305304304304304304304305305305304304303303302304303303304304302304304303304302302303303302302302302302301300299298299299300302302300301301301299301301301302304302301301301299299299298299299298298299300300301301301302302301302300299300301301300300299298298297297296297297298297297297297296296296296296296295296296296296296297296296296296296297297298297298297297298298297299298299300299299298297296297297298298298297297296296295294294295294294294294294293292292293293291289294293291293292291290289287288287287287289289286286288288286287287288289289289289288287288288288287287289290288289290287287287286287286286287287286286286286286286286286287286287287286287287287286286286286286286286286286286286286286285285283282282282281281281280280279279279279281283283283283283283283283284285286286287288288288288288288288288287287288288287288288288287288287286285283283282282282281281282283284284284284284283283283283283283284284284283282283282283282282282282284284284284285285285286285286286286284284285285285285285285283284284284284284284284284283284284284284284284284284284283283283283284284283283284283282282282283282281281280280280280280280280280280280280281280281281280281281281281280279279279279279278279279279279279279280280280280280280280280280281281281281281281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299297297298296296295295296296299300298298300302301301300301301302300305305304304304306307305308307307306307306307308307307306308308306310306305306308308306305305305304304304304306306307308308308308309307306305306305305304303304302999999302301304306306309311311312312311312312314314314313312312312312312312311311311310310310310310310309309309310309310310310310309309309310309310310310309309310308309310309308306309308308309308308308306306306306306307307306306305306305304304304304304304304303304304304304304304303302304304305306303303304303303301302303303301301301301301301301299299300300300302301301300300301300300301304301303302301300300299299298299298299299299299300300302301302302302303302302302302301301300299299298298297297297298298298298298298298297297297296298298297297297297297296296296296296297298298297298298296298298297298299298298300301300300300299298297298297298297296296296294294294295296295295296295294294293291293293294292294293293292293292291290289289289289289289288290290290290289290291290290289289289289288288288288289288289288289290291288288288289288288286286286286286286286286287287287286287287287287287287287287286286286286286287287286286286286286285284284283282282282280281281280280279280279280282283283283283284283283284285285286286287288288288288288288288288288287288288288288287287288288287286284283283283283282281281282282283282283282283283283283284285285284284284284284283283283282283282283284284283284285286285285285285286285285285285285285285285284284284284284284284284284284284284284284283284283283284283283283283283284284283283283283282282283282282281280281280280280280280280279280280280280281280281281281281280280280279279279279279279279279279280279280280280280280280281281281280281281281281281281281280281280281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304999999304304298299299299297298297297298298299300300300300301301301300301301303303302305304304304304305306305306308307306307307307307308309307308307306309307303306305304305304305303303304304305306307307307307308309308308307306306305304303299305999300301306306306306307310310313311311312312312314314314313313313312312312312311310310309310311309309309309309309310309309309310310309310310310309309309309309310309309308308308308309306308308308309307307305306306306306306306305305305306306305305304304304304304303304305305304303303302302303305304304305304302303301302302303303302302301301302301300300299299300298297300299300299299299299300301301302301302302299299299298299299299300299300299300301301301301300301301302301301301300300300298297297297300297298298297299298298297297296297297297297298297297297297297296296296296297298298298298298296298299298297297298298298300300301300298297297296296297297296297296295294295295296296295296296295296295293293293293293294293294292295293292291291287286289289289290290290288288290290289290289289290290289289288288289289289289287288290289288287286289288287286286286285285285286287286287287286287287288287287287285285286286286286286286287287286286286286285285284283283282282281281281280280279279280280282283283283283284283284284285285285286287287288288288288288288288288287287288288287287287287288287286285284284283284283282282282283283283283283283284284283285285285285285285285284284284284283283283283283284284285286286286285285285285285285282284284285285285284284284284284284284285284284284284284284284284283283284284284283284284283283284284283283283282282282282281281280280280280280280280279280280280280280280280280281281280280280279279279279279279279279279280280280280280280280281281281281281281281281281281281281280280280281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300999306305302300301300298297297297298298298299301300301300300301303301303302303303303304305305305304306305305307306304308307307307308308308307307308306304306304306305304305304303303304304305307307307307308307307307307307306305306306304303300305305303305307308308308309310311313312312313313313315314314314313313313313312311311311310310311310310309309309308308309309309309310309309309309309309309308308309309309309308308308308309309309309307306308306306306307307306307307306306305306306305305304304305304304304305305304304304304302302303304303304303304303301302302303303302302302302301300300301302300299301299300300298299299300300300301301302303301301301299299298298299299299299301300301301301301302301301303303302301301301301300299298298298298299297299297299299298298297296298297297297298299298298298298296296297297296297297297298297297296299299298298298298298299300300301300298298298297298298297297298297296295295296298296295296296296295295295293295294295294293294295295294293292293291288289289289290288291291288289289289289291289289289289290290289289289289289288287288289288288287289288287287286285286286286286285286286286286287287287287286287287284286285286286286286286286286286286286285285284284283282282281281281281280280279280281282283283283283283282283284285285286287287288288288288288288288289288287287287288288287288287287287286285284285284285284284284283284284284284284284285285285285286286286285286286286286285285284283282282283283284285285285286285286286285284284283284284285285285284284284284284284284284284285284284284284284283283284284284284284284283284283284283283283283282282282282282281280280280280280280280279280280279280280280280280280280280280280279279279280279279280280280280280280280280280280281281281281281281281280281281281281281280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305305301300297299298299298297296297297297298299300300300301301300301303304302303300302303304304303303306306304302308307306310309310307309310308306306305307305305305305304304305305305304304305307307307308308308307307307307306306306307306305303302306306307308308309309310310310312312311312313313313314314313314313313312313312310310310309310310310310309308308308308309309309309309309309308308308309309309309309309308308308309309308309309308307308307307307307307307306306306306306305304305306304305304305304304304304304304303303302302303303304303304303303302303303303304303303303302302302301301301301301300300300296298298298298298299300298300305305303302303300299299299299298299300300301300301302301301300302302303304302301301302303301300300298299300300299299299298299299298298299300299300299299300300299299299299299299298298299298299298298298298299298298298298298297300301300300300298297297297298297297298298297295295296297296296296296296296295296296294295295295295295295294295295293292294293292291291291290289290291289290290292290292290290288289289290289289288289289288287289289289288287287288287288287286285286286286287286287287287285286285286286286286285286286285286285286286286286285286286285285285284283282282281281281281281280280281281282283283283283282282283284285286286287287288287288287287287288288288287287287287287287287287287287286285285284285285285285285285286285285286286286286286285286286287287287289288287287287286285285283283282283284284283284285284286285286284283283284285286286285284284285285285284284284285285284285284284284284283284284284284284283283284283283283283283283282283282282282281280280281280280280280280280280280279279279280280280280280280280279279279280280279279280280280280280280280280280281280281281281281281280280281281281280280280280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303301300300299298298297296297297297297296298299301300299299300302301302302302303304304305304304305303304303306306306306306307308308308309304307306305305308305305304305304306306304303304306307307307307307308307307307307306305305306305303302306306307307308308309309311310310312310312311312313313313313313314313313313313311312311309308309309310309310309309309309309309309309308309309308308308308309309309308307308307308307308307308308307307307307305305306306306306306306307306306306305304305304305305306306306305304304304303303304302305304303304302303301303304303303304304303303302302301301301301301300299299297298298297300298300299301299303303305303303303301300299299299299300301300301301301301300301302302303304303301301300299301300301301299299299299299299300298299298298299299299298299298298299299299299300299299299299299298300299297299299298299298298298297297298300301301299299298298297298298297297299297295294295297297296296297297296296296297295296296295295295296295294295295294291293293293290290288288288288289288288289289289291289291289289289289289289289290289289287289287287288288288286287287287286286286285286287285284284285286285285284285286285285286286286285286286286286286285285285285285284283282282281281281281281281281281281282283283283283282282282283284285286287288288288287287287287287287288288287287287287286287287287286286286285285285285286286287287287287287287287287287287287287287288287288288288288288288287287287286285283282282283282283284284285285285285284283284285285286286285285284285285285284285285285285285285285284284284284284284284283284283283284283283283283283283283283283282283282281280281280280280280280280280280280279279279279280280280280280279279279280279279279280280280280280280280280280281281281281281281281280280281281281281280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307305300297297297298296296295295296297296298298298298301301299302300302303301302302302303304304303304303303303304305306306306306307307307307306306306305304305304305305304304305304306304304306307307307307307307307308306306308305305306305305305999305307308309309308308310311311311311311312311313312312313313314313313313312312311311311309309308309309310310309308308308308308308309309309308308308308308309308309309310309308306308307306307307307307307307306307305305305306306306305305306306305304305306305305305305305304304304304304304305304304303302303303303303303304303303304303303304302302301302301301301300299298298297296296294298298298299299301305302303303302301298299301300298300301301301302302302301302302303303303301301300299301301302299300300299299300300300300300299301298299300299298300299298298299299299300299300299299298298298299299298298299299299299298299298299300301300300300299298298298299298298297296295296296296296296297297298297297297297296296296295294295296295295295294294294292293292291290291287288289288290289289288289289289290289289288288289289289289289287289289287288289289288288286286288286286287286287286286286286285285285284284285285286286286286286285286286285285285285286285285284283282282282281281281281281281281281282282282282282282282282282283284285286287287287287287287287286286286287287287287287286286286286286286286286286286286287288288288289289288288288289289289289288289288289288288288288289288288287288287287286285284283283280282284284285285284284284284284285285286286285285285285285285285285285285285284285285284284284284284284284284283283284284284284283283283282283283282282282282282281281280280280280280280279280279279279279279279279279280279279279279280280280279279280280280280280280281281281281281281281281281281281281281281281280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302301296293297297296295296296296295296297297297298299301300298302301302303301301302302304304303303304302303303305304306306306306308307306306303305305304305304305303303304304305305306304306306306305307306307307308306306308308307306306305305300999999308309309309309309310311311310310310311312312312313313312314314313312312311311312311309309308309309310310310308308308308308308308308309309308308309308308308308308308307307306307306306306306306306306306306305305306305305305305304305304305306304304303305305305305305305304304304304303303302302303305305303303302304304303303303303303302303302301301300301302301301299298297296295296297298298295295299298301301301302300302299300301302300301301302303303303302302300302303303301301301300300300302299300301300300300299298300301300299300300301300299300300300299299299300299299299300300299299300300300300300301301301300300300300300300300301300300299298298298299298297297296296296297297297297298298298298297297297297296296294294296295296295295295293294294293292292289289289289289291289291289289289289289289290289288287288288290289289288288289288288289289288288288287289287287286286286286286286286286287284285285286286286286287286286286286285286286285285285285284284283282282282282281281281281281281281282282282282282282282282283283283285286287287287287287287286286286286286286287287287287287287287286286287287287287287288289289289289289290290290290290290290289289289289289289288289289288289288288288287286286285284283281283282282284284285284285283283284286286286286284285285285285285285285285285285284285285283282284284284284284283284283283284283283283283283283282282282282282282282281281281280280280280280279279279279279279279279279279279280279280280280280280280280280280280280280281281281281281281281281281281281281281281281281280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300299293292291294294294294295296295297297298298299298299300302302303302302302301301302303304305305304303304304305306306306306307306306306306305304304303303304304303304303305305304304304305305306305306306306307307307308307307308307306305304304305307309309309309309309310310310310311311311311312312312313312312312312313313313312311311310309309309309310310309308308308308308307307308308309309308309308308308307307306307306306306306306305306306307306305306305304304304304305305306306305306305306306306305305305304304303305304304303302302301302301305305303304303303303302302303303303303303302302302302301301302303301304298296296296295297297296294301300305305302302302300302302302301301302302303303304304302303302302302302302301303303302302300300301300301301301300300300300300301300301302301300301301300300300301300301300300301300301301302301301301302301300301301301300300299299300300300299298298299298298298297297297297298297297297297298298299297297297296296296296296295296296296295295294294293294294294292291291291292291292291291291291291291289289288288288288288289290289290290289288288288288289288288288286286288286287287286286285286285286287286286287288288288288287286286286286286285286286286285284284284283283282281281281281281281281282281281281281280281281282282283283283285286287287287287287286286286286286286286287287287287287288287287287287287287288288288289289289289290290290291290291291291291291290290290290289288289289289288288288287287287287286285285284284283284285285284283284283284286287286287285285286285284285286286286285284284284283283283283283283283283283283284282283284283283283283282283283282282283283282282282281281281281280280279279279279279279279279279279279279279279280279279279280279280280280280280281281281281281281281281281281281281281281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300300295295294293294294294295295295295297299299299299298297299302301303302302302302302303304305304305304305303304304305305305305306305304305305305303303303303303303303303303305306305305305305306306305308307306306306307308307307306306305305306306308308308309309308309309309310309310310310310311312310311312313312312312312313314313313312310310310309310310310309309308307308308308307307307308308308308308308308307307307307307306306306306306306307306306305306306305304302304305306306306304306306306306307305306304304304304304304304303302302302301303303302302301301302302302302302303303303302302302302302302302302303301300299297297298296295296296295298299299304302301301300302302302302301302301302301302303301301302302302300300300300301301300299299300300301301300300298299300300299300299299300301300300299299300300300301301300300301302303303300302302302302302301301301300299299298300299299298299299299297297298297298298298298298297297298298298298298297297296296296296295296296296297297295293295295294294293292291292291291291291290291291290289288288288288288288288290289290290290290288288288288288287289289288287285286286287286286286285286286286286287288287284285286284286285286286286286285286286286285285284283282282282281281282282282282282282282282282281281281281281282283283283285286287287287287287286287286286286286286286286286287287287287288288288288288288288288289289289289290291291291290291291291290291290289290290289289289289289289288289288288288287285286284285285283283285285283284284284285286287287287286286286285286286286286285286285284284284284283284283283282283282283283282284284283283283283282283284283283283283283282282282282281281281280279280279279279279279279279279279279279279279279279279280280280280280280281280281281281281281281281281281281281281281281281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295293290293295294294293293295295295297298298298299298298301303302302303302302301302303305304305305305305303304304304305305305305304304304304303303302302302301303303304303305304305304305304305305306306306306306307306306306305305304304305308307308308309308308309309309309309309309309309310310311312310310311313312312311312312312313311311310311311311310310309308309308307308307306307307307307307307307308307307307306307307306307306307306306306307306305305306305305304303303304305305305305306306305305305306304304304304304304303302302302301302302302301302301301302302302302303303302302302301301302302302302301302301298298297297297295294296295295298299299299299301301302302302302301301302302302301302301302302301301301301301302301302300299299298300301300299300299299299299299299300300300299300299300301300300300300302302301302302302302301301301302302300302301301300299299299299300300300300299298298298298298298299299298297296297297298298298298297297296296295297296295296298297297297295295295295295294293292292292291290292291291291290290290288288288289288289289292289289290290291289289289287288288289289288287288286286287285285285287286286286288288288287287288287285285288285284286286286286286286285285284283282282282282282283282283284284284283283282282282282281281282282282282284285286286287287287286286286286286286286286286285285286286287287288288288288288288289289289289290290291291291291290291291290290290290290290290289290290289289289289289288288288285285285284285286286286286284285286284286286287287287287287286286286286287286286286286284284284284284283283282283283283283282282283282283283283283283283283283283283283283283282283282282281281281280280280280280280280280280280279279280279279280280280280280280280280280281281281281280280281281281281281281281281281281281281280281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294294294293294293294293292292294296294297298298297298297298302302301299301302302302304302303304303305304304303304304304304305305304304304303304303301301301302302304304304303303304304303305305304307306306307308306306306306305305305305306304307307307307308308309309309309308309309310309310309309312311311311312312311311312312311312312312311311311311310310309309308308307308307306306306306306306307307307307307307307306307307306306306306306305306305305305305307305306306304304303304304304305305304304304304305304304304304304305303304302303302301302302300301300300300301302301301301302302301301301302302302300299302300298297297298296295294295294295297298299298300301302301302301302301301301302302302302300303302301302302301300301300300301299300298300300300299299299300301301300299300300299298299299300300301301300300301302302303301301301301301302301301301301301301300300300300299301301301300300299299298298298298299298298298297297297297298297297296296296297297297296295296296297297297296294295295295295293293292291292292292291291291290290290290290291291289291290291292289292289290290290289289290289290290288288288287288286286287286287287288287287288288288288288288287288287287286286286285286286285285285285283283282282282282283283283283283284283283283283283282282281281281282282283285285286286286286286286286286286286286286286285285285286286287287288288288288288289289289289289290291291291291291291291291291290289290290290290290290290290289289289289289288286285287285285287287287285285285287286287287287288287287286286287286286286286286286286285285285285285284283283283283283283283283282282283284283283283283284283282283283283282282282283282282282282282281281281281281280281280279280280280279279280280280280280280281281281281281281281281280281281281281281281281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293293293292292292292292293294295294295296297298297298298301303302300302302302303303303302300302303304303303303304304305304304304304304303303303302302301301302303303304304303304303304305307305305307306307308306306307306305306305306305306305306307308308308308308308308309309309309309309309310312310310311311311311311312312311311312312312312311310311310310310309308308307307307306306306307307307307307307307306306306307307306307306306306307306306305305305304304305306304304303303306305304304304304304303303303303303303304302302302304303303303302301302300301300300299301302302301302301302302302301302302301301300300298298297296297296297296295294294297298300299301301302302301300301301303303304303302302303304303303302303301302302302301300300300300301300300299300301302301300300300299299300300301300300300300300301300301302302301302301302301301301300301301301301301301300300300300301301302301301300300299298298298299299298297297297297297297298296297296297297297297295296296297297298297296295295296296295294292291292292291291290291291289290290290292289290291289290292290290291291291290289288288287290290290290288288288288287286286287287288285285286285285287288288288289285286285284286286286285286285285284285284283283283282282283282283283283283283283284284284283283282282282282282283284285286286286286286286286286286286286286286286285285285286286287287287287287288288288288288289290290291291291291291291291290290289290290290290290290290289290290290289289289286288288287286287287288285286286287288288288287287287287287287287287287287286286287286285284285285285284283283283283283283283283283283282283283283282283282282282282282283283283282282283283282282282282282282282281281281281280280280280280280280280280281281281281281281282282282281281282282282282282282281281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290292291290292291291292292292293293295296297297296298297298300301301302302302303304303302301301300300303303303303303303303303303303304303304302303302302301301301301302303303303303302303304303304304304305306305305305304305303304304304304305305307306306306307308307308308307308309309308307310310309309309310310310310310311311311310311311312312312312311311310310309308307308307307306306306306307307307307307307306307306306307307307307307307306306306305304305305305306306305305305304304306304304304303303302302302302302304303302303303303303303302303303301301301300299301300301300301302301301301301301301301301299299299297297299299297298297299298297296294302299301300299301301302301300301302302301303301300302302301300302302302301302300301301300300301300299300300300301301300300299300298298299300300299300299300300300300301301302301302302301301301302301301300301300300300300301301300301301302302301301301300299299298299299299298298297297297298297297297297298298298297296297297297297298297296295295295296296295294294292293293293291291292291290290290292294294290291291291292291291291291291291288290289291290291290289289289288288287286286287287287288287285285285283288286285288288285285287286286286285285285284285285283283283283282282282282283283283283284284284284284284284283282282282282282284285285286286286286285286286286285285286286286285285285286285286286286287287287287288288288289289290291291291291290291291291289290290291290291290291290290290290290289289288285288288288286288288288288288287289289289289287288287287287286286287287286286287287287285285285285284284284283283283283283283283283282282283283283283282282283282283283282282283283283283283283283283283283283283283283283282282281282282281282281282281282281282282282282282282282282282282282282282282282281282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295291290289289290292291291292292292292293294297296297297297297300300302301303302301300299302301300300299301303302302302303303302303303304303303303302302302302301301303302303302303303303303303304303304305306305306306305304302301299303303303304303306307305306307307307308308308307308309309309310310310310310310311309309309311310310310310310311311311311312312310309309308308308307308306306306306306307307307307306306306306306306306307307307306307306306305305305306306305304305305305304304305304304304304302302302302303303304304302302302304304303303303302301301300300299299300300300299300300301301301300300301300299298298297297299300299298298300297297297297295299301301300301300300300300300302303302301302302301301300303302301303301302301301301300300301301301302300300301301301299299299299297298299300299299300300301301301301301300301301300301301302301301301301301301300300300300301301301300301302302302302302301300299298299299299299298298298297298297297297298298298298297298297297298298298298297295296295296295295295294294293293293292291291292292292292293292291291290289291291291290291289290292291292291291290290287290290289288288288287286287288288288287287287287287284286284285286287286286286286287286286285285285285283284283283282282282283283283283284284284284285284284284284283283283282283283284284285285285286286286285285285285285286286285285285286286285286286286287287287287288288288290290291291291291291291291291290290290291290290290291290290290290290289289288289289289289289289289288289289287287289289289287287287286287287287287288287287287287286285285285285284285284284283283283283283283283284284284284284284283283284282283283283283283283283283283284284284283283283284283283283283284283283283283283283283283283283283283283283283283282282283283282282282282282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291289289288290290290291290291291291292293295295296297298299297298300301301302302301300300302300299299301301302301302302303302303302303303303303303301302300301301301301303303304303303304303303304304304305305303304305305304302301999301301301303304306306307308308309308308308310309308310309309309309309309309309309308309309310309308309310309310310310309310310310310309309308307307307306306307307306307307307306307306306306306306306306307306307306306305305303304306306305304304304305304304304305304304304303304303303303303302305304302302303303301301302302301300300300299299299299299300300300300301300300301301299298298298297298298299300299302300299298297297298299300300300302303302304300301302301302303302302301302303304302302303303304302301302302301301302302302301301301300300301298299298298298297300299300300300301301301301300304303303302301301301302301302302301301301299300300300301302300300301301301301301301301300299299300300299298298298299298297298297297298297297298299298299298298298299297296296295295296295295294294293293293293294294294296294295294295295295293294293292291292290291292291291292291291290289289291290288288289288289287288287288288287287287287287288288287288287288289287287287286286286286286286285286284284284284283282282282283283284284285284284284284284284283283283284284284284284285285285285285285285285285285285286286286286286286286285285285286286287287287287288288289289290291291291291291291290290290290290290290290290290290290290290289289289288289289289289289289289289289288288289288288288287287286287288289288287288288287287286285285285284284284284284283283283283283283283283283284283284283283284284283283283284284284284283284284284284284284284284284284284284284284284284284284284284284283284284283283283284283283283282283283282282282282282282282282282282282283282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293290289288288289289290290291291290291292293292293293297297298299297297298301302301302301301300298297297299301301302301301302303303303303303303303302303302302301302301301301302302304304304303304304304305306305305304304304305304302300300300299999301304305305306307307308308308308310308309308308308308308308307308308307308308308308308309309309310309310309310309309310309308308307307306306306307307306307307307307306307307307306306306306306306306306306305305304305304305305306306304305304304304304305306304303303304303303304303303303301302302301302303301302301300300299300299299299299299299301301300300300300301300298298297298297297297298300301300300299298297295296298300300301301301300300300301301301301303302301300301302301302302301302302301300301302301301301301301300301301300299299298298299298297299300299300299299300301300300301300300300302301302302302301302302302301301300301301301301301301300300300302302300302302301300299300300300299299298299298298298298297297297297298298299299298299300298298297297297296295294295294293294295295295295296293293295295293295294293292293292290290291294292293291291289290291291291289289288288288288288287289288288288288287287287286289285287287287287288288288287288287287286287286286286286286286286284284282283283283284284285285285285284284284284284283284284284284284285285285285285285285285285285286286286286286286286285286285285285285286286286287287287288289289290291291291291291291291291290290290290291291290290290290290290289290289289290290290290289289289289290289288289289288288287288286288288288287287287287287287285285285285285284284283283284284283283283283283283283284283283283284284284284284284284285284284284284284284284284284283283284284284284284284284283284285284284284284284284284284284284284284283282283282282282282282282283282282282283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287999282999284285286286288289289289290290290290290290292291292294295297300299298299299302301301301300298296298296296298301301300301301301302302302301302303303303302301300300301300300301301301304302303304304304305305305306304304305304305304302301300300999999303305306307307309308306307307308307307307307308309308307307307307307307307307307308308308308308309310309309309310310310308309308307307307306307307306306306307307307307306307306306306306306305306306306306307306306306303306305306305304304304306304304304304304303303303303303304302303302301301302301302302301301301301300299299299299299299299299300300300299300300300299298296296298297297298298298301300300300300298293291295300300300302301301301301301301301301301300299299300302301301302302303303302300301300300301301300300300299299300299296298298297297298299300301299298300300301300301302300299299301301301302302302302301301301301300299301300301302301301300300302302302302303303301299300300300299298297299298298298298298298298298299299298298298299299298298297297298297296295295295294296295296297297297296293295295294295294294293293293291293293294293291292291291288289290290290290290290288288289288288288288288287286286288288289288286286285288287287288287287288287286287286285285286286286286286285285284285285285285285285285285285284284284284284284285285285284285285285285285285285286286286286286286286286286286286285285285285285285286286286287287287288289290291291291291291292291291291290290290291290290290290290290290289290290290290290290290289290290290290289289290289288289289288288289288287287287287287287287286286286286286285285284284284283283283283283283283284284284284284284284284284284284284285285284284284284284284284284284283284284284284284284283284284284284284284284284284284284284284284284284283283282283283282282282283283283282283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296287286286999282284283287288289289289289289289289291291292292293295296297297298297298299300299301301298298298298296294298300300299300300301302302301301301303302301301301299300300300300300302303303303303303304304303305306306305304304303305304302299999999999999306306306306307308308307308307307308308307304307307307307308307308307308308307308308307307307308310309309309310310309309309307308307307307306307306306306306306306306307306306306306305307306306306306307306307307307305304305305305305305304304304304303303304304303303304303303302302302302302301301301302302302300301300299299299299299299299299300299300300299300300299298299298297297297296300300297299298300299299298295292295299301301302303302301301301301302301301301302297300303302301301301302303301301302301301299299300300299298298299299298297298298297298300300300299298299300301302302302302302302301301301302301301301301300301300301302302300301301301300301302302302303303303301302300299299300299299298300298298298299298298298298300300299298299298298298298297297296297296295297296297297297296296296296296296294294295296293294293293293294293293294292293291292293291291291291291291290291290290288288288289289287288285287286288288285286287288285288287288287288287287286286286286286286286286286286286286286286286286285285285285285285285285284284285285285286286286285286286286286286286286286286286286286286286286286285285285285285285285285285286286286287288289290291291292291291292291292291291291290290291291291291291290290290290290290290290290290290290290290289290290289289288289289289289288288287288288287288288287287287286285286285286284284284283284283284284283284284284284284284284284284284284285285285285284284284284284284284284284284284283284284284283283283284284284285284284284284284284284284283283283283283283283283283283283282282282283282282283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278278279283284286288287289289289289289289290290291293295296296297298298298297299299300300301299298298298297297298299301300300300300301301301301300301302301300300300301302301301302302302302304304304305304304306306306306305304305305304302299999999305306306306307306307307306306306307306308306307307306306307308308308308307308308307307308307308308309308309309308309310309309308308308307307307306306306307305306305306306306305306305305305306305305305305305305306306306306304305304305303304304304303303302304304304304303304302303302301303303301302301301302302301301300300300299299300300299299299299299299299299299299299298299299298298298297299298298300300300300299299299295300303301302302302301302304304303302302303303302301302303304303304303302301300301301302301301301302301300299298298298298298299300299298298299300300300301300301301302302302302301301302302301302301301301301300300301302302302302302301301301302302302301302302303303302299299299299299300300298298298299299299298299300299298298298298297297297298297296297297297297296297297297296296297297297297297297297295294294295295293294292293293293292291291292293293291291292290289289289289289288289289288289288288287288287288286287289288287288288288287288288287287287287287286286287287287287287287287286286286286286286286286286285285285285285285286286286286286286286286286286287287287287286287287286286286286286285285285285285285286286286286287287288289291291291292291292292293292291292291291290291291291291290290290291290290290290290290290290290290290290290290290289289289289288288289289289289288287288288288288287287286286286285285284284284284284284284284284284285285285285285285285284285285284285285285285284284284285284284284284284284283283283283283283283283284284284284284284284283283283284283283283283283283283283283283282282283283283283283284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999280278280281284285285286287288289288288289289289290291293294296296296297296295297298299300300300299298298298297297298298298299299299301300299299299298299300300300300301301301301302302302301303303304303305306303305306306305304304304303301301999999305306306307307306306307305305305304307306304306308307307307308307307308307308307307307307307309309310308310310309309310309309309307308307307306306306306306306306305305304305304305305305305305305304304305305305305305304305304304304303303303303304304303303303302303303304303303302302302302300302301302302301302302300300299299299300299299300299299299299299299299299299299298297299299298298299298299299300301299299300300300299299301302302302303302302301301301301301302300299301301301302301301301300299301301300300300300300300299300300300298297298297297299301299298299300299299300300301301300301300299299302301301302302301302302302300301301301302302302300302301299301302302302302301302303303303301300300299299301300298298298298298298299298299298299299299297298297298296296296297296296296295295296297297296296296295296297296297297295294294294293292291291292291292292292292291292291293291290290290288289289288288290288289289286287286287287288289287286284286287287287287288287286287286287287287287288287288287287287287288288287287287287286286286286286286286286286286287286287286287287287287287287287287287287287287286286286286286286286286286286287286286286287287289289290291291292292292292292292291292291291291291291290291291290290290290290290290290290290290290290290290290290290289288289289289289290289289289288288288288287287287287287286286286285284284284284284284284284284285285285285285285285284285285285284285285285284284284284284284284284284283283283282282282282282282283283284284284284284284284283283283284284283283283283283283283283282283283283283283283284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999280283283284285285286288289289288288288288289291292293295296297298297296296296297299299299297298299299298298298297298298298299298300300299299299298299298299299299300301301302302302302302303303304304303303303303304304304304303303302301300999306305306306306305306306305305304305305306307307307307308307307306307308307306307307307307307307308310309310310309309309308308309307307308307306306306305305306306305304305306304305305305306304305304303303304304303304304303304304303304303303302303304304304303303303303303303302303302302301302301301300301300302301301301300300300300300300300300299300299299299299298298298297297298299299299299299299299298297299300301302300298300301299301302303303302302301301301301300301299299299301300300301302302302301301299299298300300300299299299300301299297297298300299301299300300300300301301300298301300302300301299301301301301302302303304302302301302302300303301302302301301302303303303302303302303303302300301300300300301299299298299299299300299298298299298298299298298298297296296296296296296297296297296296296296296297296296296296296295294295294294292293290292291291291291292293291290290289290289288291290290289289289288287287289288287288289288288289288287285287287285286287288287286286287287288288288288288288288288288288288288288288287288287287287286286286286286286286286287287287287287287287287287287287287287287287287287286286286286286287286287288287286286287288289289291291292292292292292292292292291291291291291291291291290290290290290291291290290290290290290290290290290290290290290288289289290289288288289289288288287287287287286287286286286285285285284284284285284284284285285285285285285285285285285285285285285285285285285284284284284284284283283283283282282282282282282283283283283284284284283283283282283283283283283283283282283283282282282283283284284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288282279283284284284284287288288288288289289289289291292294295296295297295294296296296297297298296296298298298298297296296297297297297298299299298298298298299299300300300301302302303302303302302303303303303303302303303303302304303299302302999309305305306307306306306306306305305305305306307306307307308307307307306307305306307306307307308308308309309310309308308309307308306307308307307306306305305305305305305305304305304304304304305305304304303304304304304303304304304304303303303303303303303303303304303304303303303303303303303302303300301302302300301300301301301301300300300301299300299300300300299298298298297297296296298299298298298298298297297299300301301300299300301301300301302303302301301301302301302302300299299300301301301301302303302301301303299300298300299300300299299298297299299299299300301299300301298301299299301299302301301303301301303302302302303303300301302303302303302303301302302302302302303304303303302302303303303300301301301300300300301299299300300300298298298299299298298299298298298298297296297297297296296297296297297297297298297296297297296295294295295293292292292292292291291290290292292290289291289292292291290290289289290290288289289287288289288289288289288286289289288287287286288287287286286286288288289288289289288289288289289288288288287288287287287287287287287287287287287287287287287288288288288288288288288288287288287287287287286286287287287288288288287287288288289290291291292292292292292292292292291291291292291291291290290290290290290290290290290290290290290290290290290290290290290290290289289289289289289289288288288287288287287287287286286285285284284284285285284284285285286286286286286286285285285285285285284284285285284284284284283283283282282282282281281281281281282282282283282282283283283283282282282283283283283283283283283283283283283283283284284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289282279282284284284286288289289289290290290290289290292295295297297295293296295296295296296298297297297298297295296296297298297296296297298299298298298299299300300300302302302303302301303303304302303303302303303303302303303301300301302303999305305307307307306305305305305304305305306306306306307307307306307308307307307307307307307307309308309310310309310307307307308307306306307307307305304304304305304304304304304303304304304304304304304304303304304304304303303302303303303303303303303302303303304303303303304304303303302303302302303302302301302301301301301301301300300300300299298299299300300298299299299298298297297297296299297298298297297297297299300301302301301302301302302302301302303303303303302302304302301300301301300298299299300303302302300301303300298299299299298300298298298299298298298299301299301300300301300302302301301300302305302302303302302303302301301302302304302302302303302302303303302301303303303302303303304304303301303301302301302302301301301300301300299298298299299300300299299299299299298297298298298299298298298297299297298298298298297296296297295296295295293293292291290292291289290292292289289289288291290291289290290291290287287290289288288288288290289289289288288288287287287287287287287287287287287288288289289289289289290290289289289288288288288288288287287288288287287287287287288288288288288289288288289289288288288288288288287287287286287288288288288288287288289289289289291291292292292292292292292292292292292292291291291290290290290290290290291291290290290290290290290290290290290290290290290290290290289289289289288289288288287288287287287287286285285285284284284284285284285284285285285285285286285285285285284284284284284284284284283283283282282282282281281281281281281281281282282282282282283283283283283283283283283283283283283283283283283283283283284284284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297292287282283284283284288289290289289290290291291291291292294295296298294291293293295294295295296295296293295294293295296296296297297295297298299299299299300300301302302302302301303302302302302304303301301301302303304303303304302302304304304306305306305305306305305305305304304304306306306306307307307307307307307308307307307307308308311309309309310309309308307307307308306306306306306305304303304304303303303303303303303303304303304304304304303303304303304303303303303303303302303303303303304303303303304304304303304304303303302302302302302300300301302302301301301301300300300300299299299300299298299298298298298298297296295296296296298297298298298298300300300302302300302303302301304303302301302300301302301301301301300299299298299299299299300302302302303303299300300300299300300300300299298298299300301300298301301299301298303302302302301302302302302304302303303302302302301302302302303303304301302303305305303302304304305305305304305305304304303303301301302302302301300300301300299299299299300301300299299299299300300300299299300300300299298299299299298298298299299297297297295296296294294294294293291291291290290292292292290290292292291290290290289287287288290288289287289289290291290290289289289287288287288287288288288288289289289290290290291290290290290290289289289289288289289289289289289289288288288288288288289289289289289289290289289289289289289288288288287287287287288288288288288288289289290290290291291291292292292292292292291292292292291291291290290290290290290290290290290290290290290290290290290290290290290290290289289289289288289289288288288289288288287287287287286285285284284284284284284284284285285285286285286286286286287286286285285285284284284284284283284283282282282282281281281281281281281281281282282282282282282282282282282282282283282283283283283283283283283283284284284285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291287282283282282284287289290290290290290292291291291293294295296297294293292291293294293292293293292293296296295297297297298297297297298299299299300300301302303303303303303301301302302301302304303303302303303305304304304302305304306305305306305305305305305305305305305304305304305306306307307306307306306306307307307307308308309311309308308310309309308308307306306307306306307304304302304303303303303303303303304302302303303302304303303304303304302304304304303303303302302302303303303304304304304304303304304303304304303303303302303302302301301301301302302302301301300300300300299300299299299298298297298298297298297296296297297299298298298298298299300300301301299298300303302302303303302301299300303302301302302301302299298298298298298298300300300302304303302302301302302301301302302301300302298299301301300302303299303302303303302303302302302302301301301302306305304303300303303302303304303302302304304302302304304304304305303304305304305304304303303303303301301302299301301301300300299300301300300300300300301302301302301301301301299300299299298298298298298298297296296296296296296295295293294294294294293293294292293294292292290291292291288290289290288288290290290289291291291291291290290290289288288288289289288288288288289289289290290291291291291291290290290289289289290289290289289290289289289288288288288288289289289289289289289289290290290290290289289288288287287288289289289289289289290289290290290291291291291292292292292291291291291291291290290290290290290290290290290290290290290290290289290290289289289289289289289289289289289289289290289289289289289288288287287287286285285285285285285284284285285285285285286285286286286286286286285286285284284284284284283283283283282282282281282281281281281281281281281281282282282282282283283282282282283283282283283283283283283283283283284284285285286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289286284285283283286288288290290291291291290291292292293294295296297295290289290291292290292291291292293296297298296298298298298298299299300300300301302302302303303303302302301301301302302301302302302303303304303304304306305304304305306307306305305305305304304305305305305305306306306306308307307307305306306307307307307308309309310308309310310307307307306306305305305305305304303303302303301301302302302302303302302302302303302302303303302302303303304303303303303303302302302302302302303303304304304304304304303303303303302301302303303302302302301301301302301300300301301301300299300300299298298298298298298298298298298298298298299299299299299300300300300300301301301301302303301302302302303303302304303303303303303300301301301300300301300301306303303305306304301302303302303303303303303300301300301301301302302303302303303304304303303301302302303303301303302302303303303303303302306304303302302301302303303302305305304304305305305304305303305304303304302303302302301301301301301300300300302302301301301302302302302302303302301301300301301300300299298298297297297297296296295295295296293295296294293295295294294294294294294293293293293294291292288290291290291291291290292292293292292292290291291290290288289289289289288289289289290290291291292291292291291291290290290290290290290290290289290290290289288288288288289289289289289289289290290290289290290289289289288288287287287288288289289289289289289290290290290290290291291291291291291291291291291291291290290290290289290290290290290290290290290290290290290289289289289290289289289290289289289289289290289289289289288288288287287287286284285285284284285285285284285285285285285285286286286286286286286285285284284284284284284283283283282282281281281281281281280281281281281281281282282282283283283282282282283283283283283283283283283284284284285285285285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288287285283284284285285286288290291291291291291292293293294296297298296297289289291288288290292292292292294296297295295297296297299299300301301301300302302302302303303302302302302302303302303303303303303304304304305304304305307306306306306306305305305304304304304304305304305305305305305306306306306306306306307306305307307309309309308307308310310307307306306306305305304304303303303303301302301302302302302302301302302302302302302301303304303303302302303302302302302302302301302303303302304304303303303303303303303303303303302302301303302302302301302302301301301300299301301300299299299300300300299298298299298298298297297298298298299298300299298298298300301301300300300298300301301301300300302300303303302302303303303302301300299299299299301299301302305305306304304301305300302302302302303302301302300300302301301303304303303303303302302302305303305302302303303304304305304303303303303304302302303302303303303304305305305305305305305306304304305304304302301303304304304303301301301302301302302303302301302303304304303302302302301301299300301301301300299298298298297296296295293297295295294295293293291292293295296295296293294291290292291291289292289290290289292291292292290293293293291290290290290291291289289289289288288288290290290290291291292292291291291291290290290290290290289289289289289289289289288288287288287288288288288289289289290290290290290289289289288288287287287287288289289289289289290290290290290290290291291291291291291291291291291290290290290290290290290290290290290290290290289289289290289289289289289289289289289290289290289289289289289289289289289288288288287287287285285285285284284285285284285285285285285285285286286287286287286286285285285284284284283283283282282282281281281281281281281281280281281281281281282282282283282282282283283282283283283283283283283284284284284285285285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293288286281280283284284285287290291291291292292293293293294294295295295295292284288286287286289291294294295295296296297297299298299299300300301300302302303303302302303302302301301302302302302302303303303303303304304303304303306306306305305305306305305305304304304304305305304304305305305305306305306306306306306306306306305308309308308307307307307307306306307308307305304303302303302302302301302300301301301302302301301302302302301302303303303304304304302301301301301301302302302302302302301302303302303302302303303303303302302302303303302301302301303303302302301302300299299301300299300299299299299299299299299299297299297298296297298299299298299300300301302302301303301302300301302303299300303300301303301300302301303303303302302301299298299300303304305305306306304303303301301302302302300303303304302304304303302301302303303302302303303303302303305303302303305303304304305306304304305303303303303305303303303304303303304306304304304305306303304305305304304302301302301302303302302301303302301302303302302302303303303302303302301300300300299300301300299299299298297297295296296295295295294294296293293294293293294294295295295294294291292291294291291291290290289291292290293292292293293289291289290291290291290289288289289288288289290290290290291291291291291290290290290290290291290290290289289289289289289289288288288289289289289289289290290290290290290290290290289288288287287287288288289289289290290290290290290290290290290290290290291291291291291291291291291290290290290290290289289290290290290290289289290289289289289289289289289289290290289290289290289289289289289290289289288288288287286286285285285284285285285284284284284284284285286286286287286286285285284284284284283283283283282282282281281281281281280281281281281281281281281281282281282282283282282282283283283284283283284284284284284284285285286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296288999278280282284284285287290292291292292293295295294294294295295295295291284286285289288288290293294295296295297296297297298299300300301302302302301303302302301301301302301302302303303303303303303303303303304305305304305304305305305304305305304304304304304304304304305304304304305304304305305304305306306306306306306306308308308308307307306306307307306307306305304303303302302302301301301301301301302301301300300300301301301302302303303304305304304304303302302301301301300302302302302302302302302302302303302303303303301302302302302301301304302302302302301301302302301301301301301299300300299298298299299301299301297298298296298298299299299299300300302302301302303300300300300300302299302301299300301300302302301303304302302302301300299299301301305303305304303306305302301304303302301302304304304305304304302300301302301302302301302303303302304303303304303302303302303306305304303306304303302303303304304301302305303305305305304305304306304303304304303304305305303302303302301302301303301303303302303302301302303302302302301300300300301301300301300300300298299298297295296295295295295296294295295295294294295295296294293295293294293293293294292292290291292294292292293294293292292291291293292292291292292291290290289289290290289291290290291291292291291291290291290290291290290290290290290290290289289289289289289289289289289289289289290290290290290290290290290289288288288287287288288289289289289289290290290290291290290290290290291291291291290291291291291291291291290290290290290290290290290290290290290290290290289289290290290290289289290289290289290289289289289290289289289288287287287286286285285285284284284284284284283283283283284285286286286286286285285285283284283283283283282282282282281282281281281281281281281281282281281281281282282281282282283283283284283284283284284284284284284284285285285286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297298999289999279281283283284287289290291290291292293295295295295294293293294294292284281287287288290291293294295294293295297298298299299300301302302302302302303302301301301301302302302302303303303303302303304304302305306306304304304305304305305306304303303305304304304303305305305305304304305305305305306305305306306306306305308308308308307306308306306306305306306305302303302303303302301301300301301301301302300300301300300301301302301302303304305305305305305304304303302301301300299299301303302301301302301302303303303303303302302302301301302302302301303302303303301302302301301300301300298298298299298300300300300300300299299297298297298298298298299299300301302302301302300302300301301301300301301300302302302303303303303303303302302302301302303303302305304306303303305305304303303303303304304305305305305304302301301303302303301301302301304303301303305303305303304302302302302305302302304303303302303303303303302303301301304304303304305306306304304303301301303304303303302303303302302303303302303303301302302303301300302301301302302300300300301301301300300301300300299298297296295295296294295295295295294296296295295295295295293293294294294293293293295292293294292293294292294292291291291291292291293291291292292291290290290290290291291291290291291291291291291291291290290291291290290290290290290290289289289289290289289289290290290290290290290290290290290290290289289289288288288288288288289289289289289290290290290291290290290290290290290291290290290291291291290291290290290290290290290290290290290289289290289289289289289290290290290290290289289290289289289289289289290289289289288287286287286286286284284284284283284284283283283283283284284285286286286286286285285284284284284284283283282282282282282282282281281281281282282282282282282282282282283282283283283283284284284284284284284284284284284284285285286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293290283281279281284285286287288289290290290291292295296297296293291291291293292289284283288288288290291293295296297296297300298299299300301301302302302302302301301299299299300302302302302302302302301301302303302301303305305304304305304303304304305303303304304303303304303304304304304304304303305305305305305306305306306306307306308308307307307306306306307305305304303303303303303302302301302301301301301301301301301300300301301302302302303304306306306306306306306306305305304303301300300302301301301302302302303303302302303303302302302302302302302302303303302302302303301302302301300300299299298299299298298300300299299300300300297297297297296297299300298300300302302302301301301298297297300300300300300300301301301301301302301301301301302302303304301303303304304304304303302303303303304304305304303304304306304304303301300302301300302302301303303301301301301304305301303302302302302303303302304304303301302302301301303304301302302303304304305305304304304303302303302302302303302304302304304303304304304302303301301302302301301300300302301301302299299299301298301300298298298295294295295296295295293294292293295296296297297296295293293293294293293293292295294296295295296294295294293294294294294291291294291292292292291291291291292291291291292292292292292292292291291290290291291291290290291291290291290290290290290290290290290290290290290290290290290290290291290290289289289289288288288288288288288289289289289290290290290290290289289289289289290290290290290290290290290290290290290290290290290290290289289289289289289290289289290290289290290290290289289289289289289289290290289289289288288287287286286286286285284284284284283283283283283283284285286286287287287287285285284285284284284284284283283282282282282282282282282282282282282282282282282283283283283282282283283283283284283284284284284284284284283285285286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297293999999285285280280280284285286287288290289290290295292294296300302295295999287290291291290286286287288289291292294294295297297296297298299300300300301301302301301300301300300299299301302301301301301301301301302302302302302302303303304304305304304303304305303304304304303303304303304304305303304303303304304305305306306306305306306306308307308308307307306306305306305303305303303303302302302302303302302303302301302301302301301301301302302303304305305306307307305305306306307304306306305304303302303304304303302302302303303302302302302303302303302302302302302303302302302301301302302302301300299299301300301300298299299299298300300301300299298298298298299300300299301302302301301300298301299296297298300301300300299300300300301301302303303300300304305305302300301303302303303303302301302302302302303305303304304304304304303302301301302302301302301301300303302300302302301303303303303303303302305302305302303302302300301301301304302301302303304302304303303303302303303303302303302304303304303301303301303301302302302303303302301302300300303301299300301300302301300299297299300298298297296294296295294293295292294296294295295296294297293293294294294293294293293296295296296294296297295294294295293292294293291291291292292292292292291292292291292292292292292293292292291291291291291291291290291290291290290291291290291291291291291290290290290289290289289290290290290290290290290289289289288288288288288288288288288289289290290289290290290290290289289289289289289290290290290290290290290291291290290290290290290290290290290290290290290290290290290290290290290290289289289289290290290290290289289288288288288287287287286286287286285284284284284284283283284284286287287287287287286286284284284285284284284284283283283283282282282282282282282283282282282282282283283283283283282283283283284284284284284284284284284284284284284285286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286284283282282281282282284285286287288289290290290290292292296297300302999999999999999999288290288287287287288290292294294296295296297297298299300300301301301301301300301301301301300300300300301301300300300302302302302301302302303304304303304304304304304305305305303304305305304304305305304303303303302303304305303304305306306305306306306307307306307307307307306306306304304303303302303304303303302304303303304304302303302303303302302304304305306306307308307306306307304307306307306307306304303303304304304303301301301301302303301302302302303302303302302302303302303303302302302302301301301301300301299302300302301301301302301299301300301301300299299299299300300300300304302302301300300299300298299297299299298298299299299300301301302301302302303301306305305305304305302304303302301301304303302303303302303303304305305303303303302299301301301302301302301301302302302302303303303303305302303302302303304304302302302302303302300302301301302303303303302302303302303304303303303303303303304304303306303301301302301302302301302303300302301300303303303300300299297300300301299298299299298298297296294294294294293295293295295295294295294293294294294294295294294294295296293294294295297295296296295295296297296295295295294294294294293293293293291291291292292292292291292292291291291291291290290290290289290290290290290290290291291291291291290290289289289289289289289290290290290290290290289289288288288288288288288288288288289290290290290290290290290290289289289289289289290290290290290291290290291291291290291291291290290290290290290290290290290291290290290290291290290290289289290289290291290290289289288288288288287287287287286286286285284285284284284283283284285285286286286286286286285284284284284283284284284284284284283283282282283282282282283283283282283283283283283283283283283283283283284284284284284284283283283284284284285286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288277279281281281282283285286287288289289290290290291293294297299999999999999999999999999285288290288286289290293295296296297298299297300299300300301301301301302301301301301302301300301301300300300300300300301301301302302303303304303303303303304304304305305306305304304303304305305305304304304303303302303304305305305305304306306306305306306307307306307307308307306305304303302303303303304302304302304301304304303303303304302303303304304304304306307307307308306308306306305305306307306306305304304303302303303302299300300301302301302302302303303303303302302302302303302302302302301301301301301299300299298301299300301301301300300300301300301300299300298298299302300301302301302300300299298297298298298297296296297297297296298300301302300301303300300300303303301304302302301300301300301303299303303303300301301303304304302302302302301302303304302302302301302302301301301301302302302302301302304303303303303302302301301302301302303303302302303303303303303302304303303303303303303303303305304302305303302302301302303302303302300300301303302302301301300300300300300300300300300299297296296296296296296295295295295296295296296294295294294294295294294293293294293296293293294294295295296296293295294294293294294294294293294294294292292293293293292292292292292292292292292291291291291291290290289290289289290290290290290291291290291291291291290289289289289289289290290290290289290289290290289288288289289288288288288288289290290291290291291290290290290290290289289289289290290290290291291291291291291291291291291291291290290290290290290290290290290290290290290290290290289289289290290290290290289288288287288288287287287287287287287286285285284285285284284284285285286285286286286286286285284284284283284284284284283284283284284283284283282282283282283283282283283283283283283283283283283284284283284284284284284284284284284285285286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284277280282282283283285286287288289291291290290290292292296298999999999999999999999999999282287289288288289292294296297297297297298297299299300301301301301301302301300301302302301301301301301299299300300300301301300301302302303303302303302303305304304304303304302302303303304304303305305303304303303303304304304304304305305305305306305305306306305305306306307304304305304304303303303303304303303303302301303304304303304304303304306305305304305306306308307307307307307306305305306305305305304305305305303304303303300300300301301301302303302303302304303302302302302302302301301302301301301301301301300300300300300301301301301302301301301301301300299299300301301301300300300302301300300299299298298297298297298296300297297297297299299298300301302302302302301302303299300302302301303303302301304303303302301301303302302302303302303303303303303304304303302301303302302300300301302302302302301301303303301302302301303301302302301300303303303303303304302303303301302303302302301301302302303304303303301301302304303303302304304302302302300302302300300300300300300299300300299299300299298297295298294294295294296296295296295294295296293294293293294294292292293293293295296296295294294296296296294295294295295293294295294294291293292292292292293292292292292292292292291291292292291290292291290289291290290289290290291292291291292291292291291291291290289289289289290289290290290290290290290290290289289289289289289288288289290291291291291291291291291290290290290290290289289290290290291291291291291291291291291291290291290290290290290290290290290290290290290291291290291290290290290290291290290290289289288287287286287287287287287287287286286285285285285285285285285285286286285285286286286285285285284283283283284284284284284284284284284284283283283283283283283283284283283283283284283284283284283283284284283284284285285285285285286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290280280280280281282283284285287288288289289290290289289290291293297299999999999999999999999999285286288288288290292294296296296296296298298298299300300301301301302301302302301301301301302303302301301299298299300301299299300301302302303302302303303304304302303303303303303303303303304303304304304304304303303304304303303304304304305305304305306305306306306306305306304304303304304304302303302303303303302303304303303302303303304304305304305305304305305305306306306307307307307305304306306305305305305304304306305304304302300299300300301300300301302302302303302302302302302302302302301302301301301301299300299300299300301300301300301301303301301300301302300300301300301301301301301302300299300299299298298297297298297297297296297297297298297297297298300301301303300302301301302303301300302301301301301302301301301302302301303303303302305304303302304304304302302303302302302302301302301302303302302303303302301302301302300301302301301301301302300301301301300300304302303304300301300301301303300302302301301301303302303302302303304303301302299301301301301300301301301300300299298299299299299298299299293293293297294295294295296294294296297297295296295295292291294293292295292296297297297295294296295294295293294293294295295294293293293292294293293293293293293293293292293293292291291292291291291291290291290290291291291291292292291292292291290291290290289290289289290290290290290289289290290289289289289289289289288289289289290290290290291291291291291291291290290291290290290290290290291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290289289288287287286286286286286287287287287286286285285285285285285285285285286286286285286285285285285284284283283283284283284284284284283284284284284284284283283283284284284284284283284284284283284284284284284284285285285285286286286287286287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279280281282282282283285286287288288289288288288289289290293296301999999999999999999999999999282285287287290292294295296295297297296298297299301300300301300300302302301302302302300298303304303301999999299299301301300301301301301303303303302302302302304302300300303303303304303304305304304304303304304304303304305304304303304304305305305305306307306307306306305305305303304304303303302303302302304304303303303303303303303303303304305303303304305305305306305305306306306307307306306305306306305304305304304306305304303303301301300299300301301301302302301302301301302302302302302301301300301301300299300299297297300301300300302302300303303300301301301302302303302302301301301301301299300300300299300300299297298298297297298300300300299298298298299299300301302302302303300300301301300301302300300301301301301301301301302302303305303302304304305303304304303302302301302302304303302303302304303303301303304302302301303303299300300299300300300301299300299301302302301301303303303300300302300302300302302301301301301302302302302302303303303303304302303302300300302300300301299299299297298298297298299299296294296295296296296295296296296296297296295295294294295294293294294296293294295297297296295294295295295293294294294294295295294294294295294294294293293293293293292292292292292291290290291291291291291291291290290291291292292292292291292291291291291290290290290289290289290290289290289289290289289289290289289289289289289290290290291291291291292291291291291291290290290290290290291291291291291291291291291291291291291291291290290291290290290290290290290290290290290290290290291290291291291290290289288287287287286286286286285286286287286286286286286286286286285286286285285285284285286284285285284283283283283283284283283284284284284284284284285285285284284284284284284284285284284284284284284284285285285286286286286286286286286286286286286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279280281283283284285287286287287288289287287288289289289293296999999999999999999999999999999999285289291292294296296296296297297296297299299300301301301300299301301300301302301300299303304303301300302301299300300300301301301300301302303302302302301301301300302303304303302302303303304303303304303304304303303304304302302303303303304304304304304304305305304304303303302302303303302303302301302302303304303303303303304303303303301302303304304305305305306306306307307307307307307307306304303305304303305305305305305303302301301300299301300301302302301301302301301302302302302301301301300301301301300300299297298299300301297299302302302301302300301302302302303301302302302302301299297300301300300301301300299298298298297296297301299299298298298298298301302300300302302300300301300300301301301300301300301301302301302302303302303302302305306306305304303303303303302300302303303304303301303304303301303304302302299300302300300299300301301300300299301302302301302302302300300302302302302301301302303303303302302302303302304303304303301303303302302302301299301300300299298299298299298298298299299298298297297293297293294294296296298298298298297295296293295293295294294292292292293295294296296293293294295295293293294294293294292294294295294296294293293294294293293293293292291292291290290291291290292292291292291291291291292291292292291293292291291291291291290291290290290290289289289290289290289290290289289289289289289290290290291291291291291292291291291291291291291291290290291291291291291291291291291291291291291291291291290290290290290290290291291291291290291290290290290290291290291290290289289288287287287287285286286285285285286286286286287287287287286286286286285286286286285285285285286285284284284284284285283284284284284284284284285284285286286285285285284285285284284284285284285285285285285285285286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288287299292288283280280280281282284286286286285285286286286286287287288290292293999999999999999999999999999999999999285291292292293296295297296297296297295299300300301300301300300302301299300302302302302303303304301301302302301301300301301301300300301301303303302301301300300299302302303302303303302303304304303302303303303303303303304303302302302303303304304304304303304303303303302301301302302303302303303304304303303302303303304304303304303303303304303304303304305306305305304308307306306307307307307304306305306303305305305303304303303302301300300301302302302302301302302301302303302301301300301301301299300299300300301299299299299300300301299299301300301300302303302301302303302303300301299302299300300301300300300300299298298298296296300300298298298298298297300300299298301299301300301301301301300301302302301301300302303303303303303304304302304303305305305304303303303302303303302302303303304303303300301302302302303302303300302300300299301299301301300301301301301302301300303300301300301301303302301301302301302302303303303303303302304300302301302300300298299298297298298298299299298299298299298297299299299297297296297295295295298296298298299299298295295294294294294293292294293294294293295296296294294298295295294292293295292293295295295295295293294294293294293293293293293293292291290291291291292293293292292292292291292292292292293293293293293292291291290292291291290290290290290290290290289289290290290290289289290290290290291291291291291291292292291291291291291291291291291291291291291292292291291291291292291291291291291291291291291290290291290291290290291290290290291290290290291290292291290290289289289288288288286287287286286286286286286286287287287287287287286286286285286285285284285286286285285285283284284283283284284284284285284283284284285285285285286287285285285284284284284285285284285285285286286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287295299289285282282280280282283285286287285283284286285285286286286288290296999999999999999999999999999999999999283290292292294294295295296296295296297297298299300301301298300301301300300301301301302302302303302301302302301300300300301300300299300301301301302301302301301300299302302304303302302303303304304303302303303304303303303303302303303302302303303303302303303303302302302301301301301300301301304302304302303302302302303303303302303303303303303303303304304304304304304305304305306306307307306304304305304304303303303303303303303303304301300299301301301301303301302301301302301300303301300301301300299298299299300300300299299300301300300299302302302303301302302302302303302301301300301299300300299300299300299298299299298297297296296297298299299297297297301300300300301300301299299300302300300301302300300301301303302303303304305306306303305303305304306305304305305304303303302301301302302303303303303303304301301302303302303302301299300301300300301299301300302301301303300302301299298299301300302302302302302303304303303303303303303302302301300298300297300298297297298297298299296297299298300299299297300298297298298299297298297298299298298297298299298296295293294293293292295294295295293293292296296297296296296294294294295294294294294295295295294294294293293293293292293291291291291291291291291291291292292293292292292292293293293293293293293293292292292291291292291291291291291290290290290289290290290290290289290289290290291291291292292292292292292292291292292291292292292291292292292292292292292293292292292292292292291291291291291291291291291291292291291291291291291291291291291291291291291291291290289287287287287286286286285285286286286286285286286286286286285285285284284285284285284285285285284284284284283283283284283284283284284284284284284284284285285286286285285285285285285285285285285286286286286286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285292291289288286283280281283284285286287284282283284284284284286285289293296999999999999999999999999999999999999287291292293293295296296297297297298299300298300301302300300999300301999999300300301301302303303302301301301300301301300300300300300300301301302302302301301300300300301300303303303303303303303303303302302302303304302302303303303303303303303302302302302302302302302302302302302301301302304304304304304303303303303303304303304303303303303303302303303304305304304304305305305306306307306305305303304303303304304304305303303305305305302301300301301301302301300300301302302302302302301300300300300298298300300300300300299299300300298299299299302301302302303302302302302301301302302302303302301300300299299298297297299297296296297297299300298298298301300301301299299299300298299299299298300299302301301301302303303304304305304306307307307304305306305306305305306303305304304302301302301302303303303303302302300302302301302303302301301300301301298299301301300301300300301301302301302300299302302303301301303304304305301303301301303303302301300299302299299298295295295295294294296295300298298299299300294298298298297298297297297297300298299298300299299297295295294294295297294293295294294296295295296296296295296295295296296295294295292293292294295294294294294293294293293292292292292292292292293292291291291292292293292293292293293293293293293293293293293293292292292293292291291291292291290290290290290291291291290290291291291292292292293293293292292292292292292292292292292292292292292292292291292293293293292292292292292292292291291291291291291291291291291291291291291291291291290290291291291291290290289287286285286285285285285285285285285285285285285285285285284285284284284283284284284283284284285284284284284284284283283284284284284284284284284283284285285285286286286286285285285286286286286285286286286286287286287286286286286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289288287284281280281283285286286285283282281284284285284288287293296999999999999999999999999999999999999286289292294293295296295295297295299298298300300301301301300298300301299301301301301301301301300302302301298302301301301299300299300300301301302303302302302302301302301301302301302302302303302302303303302302302303302302301301301302303303303303303302302303301301303302302302301302302302302302302303303303303303304304303303303303303303302303303303302302304304303304304304305304305305306304305305303304304305304304304304303304303302302302302302301301300299299299300302300302302300300301300300300300300299300300300301298300299300300300301301301304302301303302302302303303303303302303302302303302300299299299298297298297297299297297298298298299299297297297300297298301300300301298299301301300303300301302303303304305305306305306303304305307306305306306305304305304305304303304303303303303302302303303303302300302301301302302302302301302301298299299298301302302299300302301300300301301302298301301302303302303303304303303301301302303303302301300299299299298297297295295295295291295298299299298296299299297298299300299298298298299300299298299297299299297299296296295295295295294295295294295296295296298298297297296296294295294294294294294293294294294293294294293293293293294294293292291292293294293292291292292292293292293293293294294294294294294294294294294294293293293293293292292292292292291291291291291292292292292292292292292292292293293293293293293293293292292292292293292292292292292292292292292293292292292292292292292292292292291291291291291291291291291291290290290291290290290290291291291291291290288286285285285285285284285284285285285285285285285285284285285284284284283283283285283283283284284285284285284284284284283284284285285285285285284284284285285286286286286286286286286286286286286286286286286287287287287286286286286286286286285286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283282282281281278278279282283285287286284284283283285286289288290291294300999999999999999999999999999999999999289291292295295296294296296297297300298299300301301300301301300301302302301301301301301302301301300301299299300301301299300300300302302300301301302302302303300303303302301303301301302302303303303303303303302302302302303302302303302302302302303302302302302302302303303302302302302301303302302301303303303302303304304304303301304304303303302303303303303303303303304303303305304304304306304304306304306304305304304306305305304305303303302304302300301301301301302302301301302302302302302303300300299299300301301301300299301300301300300300300301302303303302302303303303303303301304305304303302303301300299299299298297297296300297300297297298299298298298301300298302302300301299301301301300301301301302303303303303306306306303303305306304304303305305305306304304306305304304304304304303304302302303303302302300300301301301301302302302302302301301301300301299299300299299300301299300300302301301301302303302305304302303303302303302303303301302301299300299298298297296296297296295297297299299298297298299297298297297297296298296297298298298299298298298296297298299297297297295295293294295297295297298298299298297297296294295297297297297295295295295295294294294294294294293293293293293293292293292292293293293293293293293294293294295294294294294294294294294294294294294294294293293292292292292291291291291291292292292292293292292292292292293293293293293293293293292293292292292292292292292292293292291291292292292292292292292292291291291292291291291291291291291291291290290290290290290290291290291291291291290287286286285285284284284284284285285285285285285284285285285284283283283283283284284284284284284283284284284284284284284284285285286285286285285285285285285285286286286287287286287286287286286286286286287286287287287286286286286286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281281280279277275274276278282283286286284283284283285288289289290291294295999999999999999999999999999999999999285289288289291295296293294296296297298297298300299298299300300299301302302301301301300301300300302299301303298299300300301300300300301303301301301302299302301301304303303302302302301302302302302303303303303303302303303303302302303303304302302304302303303302302302303302302303302303303302303303303302303303303303303303303302302303303304303303303302303302304303301303304304304304303305306306305306306304304303304304304304303303304304303303301303301301301304302301301302302302301300302301301302302301300299299300300300300300299299299301301301302301303303304302303303303303302303303304304302303303302301300299301300297297297297297297298299298302301301301301302302303303301300302302302300301300301302302303304305306305305305304303304304304304305306306306305305304305304304305304304304302302303302302303302301301298300301302301302301301302302302302300300298301298298300301300300298300300300301302302303302303303304304304303304303304304302301300299301300301298299297297297299297296296297297297298298295298297298300297298299299298299299299298299298299298299298299298298297295293295296295295298296296299299300299298297297296296297297297295295294294295295294293293294293294293293293293292294292292292292293293292293293293294294294294294294294294295294294294294294294294294294294294293294293293292292291292292292292293292293293292292292292293293293293293293293293293293293293292292292293293292291292293292292292292292292292292291291291291291291291291291291291291291291290290290290290290290290290290291291290290289286286286285285285285285285284285285285286285286284285285284284284284284285284284284285285284284284284284284284284284285284285285285286286286285285285285285286286286286287287287287287287287287287286287287287287287287286286286286286286286286286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288277279280280277275275274276279283286287284283283283283284288292290290291293999999999999999999999999999999999999999287289288290292296296295297294296297297297297298299298296299299299299301301301302301301301300298300302303301300300300300300301300300301301301300300301299302303303301303304302303302302302302302302302303302303302302303303302301301302303303303302303303303302303302302302302302303303304303303303302303302303303303303303303302301302303303303303303303302302303303303303303303303304305304305306303306305306304305304303305303303304304302304304303303303301301301301302302301301301301301300300300300302302301302302301300299299300300300300300302302303302301301302302302304303304302304304303304304303303304301301301302302301297298297299298299299302302300302303302302303303303302300301300302299301302302303304305306305306305305305305305305305305305305307306305305306305304305304305306305305304304301302303302302301301301300300300300301301301302302302302302300298299300301301301301301302301302301300301302302303302303304303303303303303304304303301301300300301301298299299298296297298300298299299297298299299294295297299298299297299296298298300299298297297299298298298299298296297296292295294296296297296297297296299299298294297298295297297297294293293294294294293295293293293292292292292293293292293293292292293293293294293292294295295295294295294294294294295294294294294294294294294295294295295293293293292293293293294294293293293293293293293293293293293293293293293293293293293293293293293293293292292293292292292292292292292292292292292292292291291291291291291291291291291290290290290290290291290290291290290290289286286286285284285284284284285285285286286285286285285285285285285285286286284285285286284285284285285285284285284284285285285285285286286286286286285285286286287286287287287287288287288287287287287287287287286286287286286286286286286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273273273275277276275275274274275278280284286287283281282283283283288293293292294297999999999999999999999999999999999999999290290290290295294295295295295297298297296297297299299300299299300300299300300299301301299299302300300300300300300301300300301301301300299299298300299300302302302300301301302302302303302302301301301302302301302301303302302301301300302302302302302302304304303303303302302301302302303303303302302301302302303303303302302301301301302302302303303302301302302302302302303302302304304304303304303305304304303303306305304305303305301304303303302304301301302300301301301299301302301301301301301302302301301302300300300300301301301301301299301302302302301302302304303301302302303303302302302304305304304302303304303303302301300298297299300299302300301303302300301302303301301301300300302302304304304304306305307306305305305305305306305303305306304304305304305305304304304304305305305305304304304303303302302301300300299298300300301299299302303302302302300301301300301301300299302300299300300300301301302301303303303304303303303303303303301300300299301300298298298297298297296295294297298299297297298298296298298298299300297297298297296300296299299298299297297298298298297296296294295295295296295298297297296297296298298297297296295295293296295295295294294291293293293292293293293293293293293293293292293293293293293294294293294295295295295294293295294295295294295295295294295295294295295295294294293294293293294294293294294293293293293293293293293293294294293293293292293293293293293294293293294293292292292292292292292291292292292292292292291291291291291292292291291291291290290290290291290291290291291290290289287286286286285285285284284285286286286285285286286286286286286286286287286287286287286286285286285285285285285284284285285285285286286286286286286286286287286287287287287288288287287287287287287287287287287287287286287286287286286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289278265267269271271272272272275277280283285287287283280279280281279287292293293297999999999999999999999999999999999999999999290289290291295295295294295295298298298298295298297298301299301301300299299299298299299299299298300301300302300301300301301301302300300299297300301299300301301301300300300301301302302302302302302302302301301302301302301302301301300301302302303301303304303303303302302301301303301301302302302302302303302303302303302301300300300301301302302302302302302302302301302302303303303303302302302303303303304303303301304304302302304303303302302302301301301300301299300302302300299301301301301301300301301300300300300301301302302301300300301301301301302302303303303303302303301301301303303303303302303302302304304304303302302302302299302302298301302299299301301300300300301301299301302303304301303304307306306304305305306305304306306305304305304303305305303305304303303304305304306307303304304304303303302303303301301300300301301301300298300301299301301300300302300301301301300301301300298301301301301301303302303302303303302303303303303301301299300300300300300298297297297297297295296296296297299299299299298299299299298297298298298298297297299299299298298295295295298293296295293296295296297298297296297296296298298296295295295296295295295294296295293296295292292292292292292292292292293293293293293292293292293293294293294294295295296294295295295295294295295295295295295295296295295295295295294294294294294294294294294294294293293293293293293293293294294294293293293292293293293293294293294293293293292292292292292292292292292292292291291291291291291292292292292291291290290291290290290290291291291291291291289287286286286285286285285284286286286285286286286286286286287287287287287286286287287287286286287286286285284285285285285285285285286286286286287287286286287287287288288288288288288288288288288288287287287287287287286286286286286285285285284285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277275267266265268269268270271271271275279282284286288287281279278278280280285292294293297999999999999999999999999999999999999999999290289292293295295295294296297298297297297298298299299299300300300301299301299299299300299299298298300300300301302301301300298299300299299300300299302301301301301301299300299301300302302302302302302302301301301301301301302302302300301303303302302302302304302303302302302301302302302301302302301301301301302302302302301300299300301301301301302302302302303302302302300303303303304304304303304303303303304302304303303301302301305305303303303302303301300299300300300300300300300300301301300300300301300299300300300301301301301301300301302303302303303303303304302302302301302302303303304302302301302302304303304301303303302302299302302302302301300301300300299299300302302301302302305306303304305306305305306305306305305305305305305306306303304303305304305305303302304302304306304306304304304305304303302302302302301301301301302301300301299301300302299302302302300300300302302301301301301301301301303302303302302303302302302302304302300299299300298298298299298297296297296297298297296295297299298299299296295297297299296296299296297297297297296297296296295293296295294293293293293294295297298298297296296297294297295295294294294293294294294295294294296294291292292292292292292292292293293292293292293295294293294294294293294294295295295296295295295294295295295296296295295295295295295295295294294295295295295295294294294294293293293293294294293293294294294293293293294293294294293293293293293293292292292292292292292292292292292291291291291292292292292292292291292291291290290291291291291291291291290291290288287287287286286286285286285285286286287287287287287288287288289287288287287287286288288287289288288288287286286286286286286285285286286286287287287287287288287288288288288288289289288288288288288288287287287287287286286286286285285285285285284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290284284283276271271272272271271271271272274277281284286288287285279278278275287284285293294295999999999999999999999999999999999999999999289288290293293295295295294295294295294297296297298298298299298299301299300301299299299300299299298298298298300301302302302301300298298299298300302300301300300302298300299299300300300300301301302302302302302300300300301301301302301301301302304304304302303304304303303302304302302302302302302301300301300302302302302302302300301301301300301301301301301302302302302303304303302303304304304304303303303303303305304302303303304305305305304303302302302302300299299300300299298300300300301300299299299299299299300300300302301301300301301302302303303303304304303303303302301301301302303303303302301303301303303302302303303303302303302302303303302301301301301299300300303303302303304304303305305305305304305304304303304304305305304303307306304304303302305305303305305303304302302301304303302306304304304303304302301301301301301301301301300301300301301301302301301301301302301300301302301302301301301301302302303303303303302303303301302302298298298298300299300299297298297297298298299297297296297297299298299298297297299299299295297297295298298298296296295296296294294294294294293294293294296297298297296296299300299298294293293293295292294293291292294294293294291291291292292293291292292292293294293293294295295294295294293294294294295295295296295295294294296296295295296296296296295295295295295295294294295295295294294293293293294293294294294294293293294294295294294294294293293293293293293293293292292292292292292291291290291291291290291291291291292291292292292291292291291290291291292291291291291291291291291289288287287287286286286286286287287287288289289290290289289289288288288288287287288288289289290289289289288288287287287286286286286286287287286287287288288288288288288288288288288288288288288288288288287287287287287287287287286285285284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283284279277274273273273273272274273273274276279282286288289288282277277278276279285289293295302294999999999999999999999999999999999999999289288290293295295295296297296296296295297296296297299299298298298301301301299300298299299300301302301297300301300302302302302301298298298299299299302301301300300300301300299300300300299299301301301301301302300300300300299301301301301301302303304303303303303304304305304303304302301302302301301300300301301302302302301303301301301301301301301302302302302302302302303302303304303304302302303304303304303303303303302301303301302304305304303303303303303302301299301299299299299299300300299299298298300300300300301301301301300301301302302303303303303304304304305303303302301301303300303302301301300301301300302302302303303302303302303303303301300300301301299299301302302304304304306306306305304304304304305304305304304304304305305304303302305305302304305305306304305303303302302305304303304301301302303302302302302299301301302301300300301301301302302303304302302302302301301301302302301300302302302301302303303303303302303303304301302298298298298298298298298297297297296296296300297297297296299296297298298297299298298298299298298295296297297296297296295296296294294294293292294293296297298298297295296297296297296294293294293293293292292292292294293293294293291292291291291291291292292292293293293294294294294294293294294295295295295295295295295295294294295295295295296296296296295295295295295295295294294294294294294293293294293294294293293293293294294294294294294294294294294293292292293292292292291292292292291291292291291292291292292292292292292292292292292292292292291292292292292292291292292291291291290288287287287286286286287287288288288289289290290289290289290289289289289288288288290289289289289290290290289289288287286286286286286287287287287287288288287288288289289289288288288289288288288288287287287287287287287287287286286285285284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280280287283278274273274274276274273274274274274274275277279283287288289287281277278279279282286291293295299305999999999999999999999999999999999999999289290290293295295297296297297297296296296296297298298299300299300299302300300300299300299299301300300298300300300302302302302298297297297299298299299300301300300300301300301300299299300300301301301300300301302300300299300301301302301301302302302303303303303304304304304304304303303302302302301300299300302301301301302301301301302301301301301302302302302301300301301303303303302304303302303303304302303301302301302303302302302305304304303303304304303302301299300299298298298299299299299298297299298299301300301302301300300300303303303304303303303303304302303303304302301303303303303302299301303301302301301301301302302302302302303303302301301300301302301301301302304305304305306306305306305305304304303303304303305304305304305304304303305305306306305306303303303302302303304303304304305304301301303304303302302301301301301302302299302303300301301301303302302304303302301303303302301302302301301301301301302302302303302302301300300299299298298297297298298297297296296296296298298298296298296297297296296297296296299297298299297297297297297298295298296298296295294294294294295295297296295295295298298299296296296296293295293293293294294291294295293292292292292292291291291291291292292293294293293294294295295295294295294295295295295294295295295294294294295295294294295296296296296296296296296295294294294294294294294294293294294293293294294294294294294295295295294294294294294294293293293293293293291292292292292292292292292292292292292292292292292292292293292292292292292292292292292292292292292291291291291289287287287287286287288289289289289289290290290290290290291290289290290291290290290289289290291291290290289289289288287287286287286288288287287288288288288288288289288289289289289289288288288288287287287287287287287287287286286286285285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279279276276277277278280280276276275276275275276279283285287288286284280277279283284288288291295296297999999999999999999999999999999999999999288290291290293295295295296296297298296297296296296298297299299301299299301300300300300300299300299299299299300301302301301301299297300300298298300300298298300301301301301301301301299300300301301300300299301301301301300301301301302302302302302302303304304304302303304304304305304303303303302302301300301301302301301300300300301301302302301301301302302301302302302299302300300300303304303303302302303303301303302303303302304304303301304302304302303303303303301299300299298298298297298298299299298298298299300301301302301301301302303303304302302303304303303303303304304302301303303302302302300300303300300299301302302302302303303303304303302302302302302303304304304303305305305305305305306306305305304305304303304302304305304305304305305305304305304304304305306304304303302304304304303304305303303303302302303301302302301300302302302302301301300301301302302303302302302303302303301303302301300301301301302301302302303303303302301301299299298297298299297298298298298297298298297297299300297300298300297297297298296298298296298297298297298297298297295298295296296295296293296296296296296296297296295298297297296295294295295294294291294293293292293290292291291292292292291291292291292292293292293293293294294295295296296296296295295294296295295295295294295295296296296296295295295296296296296297296295295295295294294294294294294294294294294294293293294293294294294294294293293293293294293292293293292291292292292291291292291292292292292292293292292292292293293293292293292292292292292292292292292292292292292291291290288288287287288288288289288289289289290291292291292291291291291291291291291290291290291291292289289289290289289289289288288287287287288287287288288288288288289288288289289289288288288288288288288288287288287287287287287287286286286285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282279277277277277279280282282282281278277276276277278282285286285284282279277276279287290293293292295295296999999999999999999999999999999999999999288293292292295295295295296294298296296296296296297297298299298300300299301300300301301300300300300299299299300302302301300301301300300301300297299300299298298299300300299299300300299300300300300300299301301301301302301301301301301300300302302303302303303302302302303304304304304305303303302301301302300300301301300300300300300301301302301301301301301302301300301299302300300303303303304304303301301301302302302302302302302301302304300301302303302303303302301299300299299298298299298298299299297297298300299300300301301302301302302302303302304303303302302303303302302303303301301303303302303300301300299301302302302302303303303303303302302302302303304303304304304305304305306305305305306305304303303305304303304304305305304305305304305303305305304305304304304304304305301304303303304304304305305303304301303301301301301300302301301302302301301303302301302302304303303303302302300303301301301301301301301301301302302302302302301302299298298298297298298296297298296298298299299299296297295297299300299299300296296299298297298297297298296295295297295296296295295293296297295296296295296297297297297297298295296295295295294293293293293295294294295292293293293293293292292289291291291292292292293293293293293295295295295295295295295294295294294294294294295295296296296296296296295295295296296296296296295295295294294294294294294294293295294293293292294293294295295295294294294293293293292292291292291291292292292292291291291292292292292293293292293293293293293293292293293293293292293293292292293293292293292292292290288288289288288288289289289289289288289290291291293292291292291291291291291292291290290290288289289288288289288289289289288288287288289288288287287288288288288288289288289289288289289289288288288288288288288287287287287287286287287286285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277277277277278279281283285285285283280278278278278282284284282281281280278275276282288293293293292294297295999999999999999999999999999999999999288293294294294295296294295295295296297296297298298297298299299300300300300299299300302302301301300300299299299299299301301300300302299301301301299298299301299299299299298301299299299300300300300300301299300301301301302301299301302301301302302303302302303303303303303302302303304304303302304302302300302301302300300301299299300301301301302302301301301302301300301299301302302302303302304304304302303304302302302302301302302301301299302301301302302302303302302301301297297299296296298298298298299299298299299300301302302302303302302302302301302302303302303303303302302303302301301304303302303303300300299303302301302303302303303303303303302302303303303303305305303304305305305305305305306304304306304305305305305304305306304304304304305304304305305304304305303305304303302304303302304305304304304305303304302302303303303303302302302302303303302304303302303302303304302302303302302302301302300302301301301301301300302302302300301301300300299298296297296297296296298299299299298297298297296296298297297297300300297298297298298299298297295295295296297297296296296296294295296296295296296296296297297298298297297299298296294294294295293293295294293294294292292292293292292292292292292292292292292293292292294293295294293294295295295294294294293294294294294295296296295295295296296295295294295296296296296295295295295294294294294294293293293294294293293294293294295295295295295294293293292292292291292292292292292292292292291292292293293292292293293293293293293293292293292293293292293293292293292293292292293292292292290289288288288289288289289289289288289289290291291292292291291291290291291291292290290291290289289289288288288287288289289289288288287288288289287288288288288288288288288288288288288288288288288288288288288288287288288287287287287287286286285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279999277276277278280281281283285286287286285283280279280281282283282281280280279276277282287291293292293293295295295298999999999999999999999999999999999295295295294295294294295295296296296297297298297299299299299300300300300301300300300301302302302300300301299298298300299299298303300301299298299299300299298300300301300300300300299300300301301301300300300299300301301300300302303301301301302303302300304303303303302302303303303302302304302303303302303303302303303303302303303303303302302302302303302303302302301301302303301302304302302302304302303304304302302302302303303302303303300302302302302302301303303301300298299297298296299297298300300300299299299301301301300301304302302302303303303303303302304303303305303302302302301302305304303302302300301302302302302302302302303302303303303302302303303303304304303304304304305304304304305304304305304305305305305304304304304304304304304305305305305304302304303304303304304303302303303304304305303304303303303302302302304304303303303304302304304303304303302302303304304302303302303302301301301301300300300301302300300302302301300300302300299299299297297296295296297298299299300297298298296298299299299298298299297296297297297297297296296295296296295296296295295295295296295296294295295296298299298296298298297298298298296296295295297296295296294295294294293294295293292292293292292292292291290293293292293294294294295294295295295294295295294293294294294294294294294295295295296296296296295295295295296296295295295295295294295294295294293294295294294293294292294294294295296295295294294293293292292291292292292292292292292292292292293293293292292292293293293292293293292292292293293293292292293292293292292292292292292291290288288288289289289289289289289288289290291292292292292292291291290290290291291291291290289288289289288288289289290290289289288288288289288288288288287288288288288288288288288288288288288288288288288288287288288288287287288287288287287286285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999999999999999999999999999999999999999999999999999999999999287999999999280278278278278279281282282283284285287288288288287286282280280282281281281281280280279280284288290292292292293294295296297298999999999999999999999999999999292296295289293293293294295296297298296297297299298299299299299301300300300302301300299297300302302300301301300300298301299298301300299298298301298299299298298298298298300300300299299300299299299300300300300299301300300300301302302302300300302301301303303302302303302302302302303303304305303303305304304304302302302303302302301303301302301301301302302301301302301302302302302302302302303302301301302303302303302302303303303303303302304303303302302301301300303302300297298298297296300299299300300299299300299300300302301301302302301301303302302303303303303303303303305304303304302303302302303303301301304303302300300300303302302302303303302301300302303304303304303305304305305304305305305305305305306305305305304304302303305304304304304304304304305305304304304305304304303302302303303304304304303304303303303303302302301303304303303302302303304303303303303304303303303304304303304302301300300299300301301301301301301302301301301301301298299298297297297296295298297296297296298298299298297297299296297297295297296296295295294295297298296295296295295296296297296295296296296296296296296296296294294295297297297297297296296298298296297296294295295292292292293294294292292292292292291293291292291294294293293294294294294295294295295296295295295295294294294294294294295294295295295296296296295295294294294295295295295294294294294294294294294293294294294294294294294294294295295295295294294294293293292292292292292292292292292292292292293293293293293293293292293292292293292292293293293293293293292293292292292292292292293291291290289289289289289289289289289289289290291292292292292292292292291291291291291291291291289288288288288288288289290290289289288289289288288287287287287287287287287287287287288288288288288288288288288287288288288288288288288288288288287287286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300999999999999999999999999999302289999999288285284284999289285282280279280279280280281283284285285285286287289290290289288287283281281281282282281283284284284287289290292292292292293295295296298298999999999999999999999999999999292293289287292293295293294297299298296297297299299299299299299300300298300301300298297299301301301299298298296299299300299298301300300299298301300300298299299296297299297299300299300300300300300299299300300300300300301301302301301300302302302302302302301302301302303303302302303303303304303303305304304303304302302303302303302302302300302300301301302302301301302302303303303303303302302303302303301302301301304303303303302303302302304303302302302302303302302302301299299298298297299299298299300299299299299301302302301301302303301302303303303303304304303303302303303303304305304302302302303303303301303302301301300300303303304303302303302301299301304304302304304303303304303304304304305305305305305305305304304303303304302303304303304304303304304304304304302304304302302301300303304303303303304304303303303304304304303303304304302304304303304303303302303303302302302303303303302302301301300300299301300301301301301300302303302302299298298298297296297298296296296296297297297298298299297296297296297297297298297295294295296294295295296295295295295296297297296296297296296296296296296295294294295295297298298297296296296296298296295294296296295295293294293294294294292291292291293294293292293293292293293296295295294295294295295296296296295295295295295296295294295295296296295295295296296295294294294294294294295295294294293294294295294294294294294294295295294294294295295295295295295295294293293292292292293292292293293292293293293293293293292293292292293293292292292292292292293293293293293292293293293293292293292292292291290289290289290288289289289290290291291293292292293292293291292291290291292292292291289288288288288288288289290291290289290289289288288287287287287287286286286287287287287287287287288287287287288288288288288288287288288288288288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297999999999999999999999289295999999285285284283282281281282282282282282282282282284285286287287288288289290291291290289288285283283283284285286287287289289290291292292292292292294294295296298298298999999999999999999999999285291290292291292293293294295296297297297296297298298297301299299299299299299300301301300300300299300301300300300297297297297298301301300298297298299300300301301300295296298299300300301301301301300300300302300300299298301301301301301301302301302302302302302302303302303303302302303303304303303303304303303303303302303303304302301302301301302302303301301301301301302301304303303301302301303303302302304303301303303302301302302302301302302302300301302303303303301301300300300297298298299298298299299296297298298299301301301302302303303303303302302303303305305302303302303303303302304303303303301301301302300303302301300302301301303302301301302302302302303303303306304305304304304304304305305306306305306303303304303304302303301301303302304303302303303303304304305305304303303302302303303302302303303304303303303304304304304303304304303303303303304304303302303302301301303303303301300300301300300300300300300301301301300301302302302301298298299299297297297297296299298296297297297298299298296297297299299297296296298297297295295296295296296295296295295295295296295295296296295295295294295296297297295295296298298298296296298296296298297295294295295295294293294295295293293293292293293294293294293294293295296296295294296295296296296297297297296295295296296296296295295295296295294294294295296296295294293293293294294294294293294294294294294294294294294295294294295294294295295295295295295294295294294293293293293292293293293293293293293293293292292293292292292292292292292292292293293292293293293293293292293293293293293293293292291290289290290290290290290290291292293293293292293292293293292293291291291292292290290289288288288288288289290289291290289289289288288287287286286286286286286286286286286286286287288287287287288288288288288288288288288288288288288287288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294294999999999283289289298291287287284285284284283284284284284284284284285285286286286287288288289290291291292292291290289287286287286287288289290290291291292293291293291292293295295295296298300298999999999999999999999285284290290292293293293292293296296296296296295297298299298300299298299298299298301301300300300300302301298299300300297299299301301300301302299297300299300300300300300299299299299300301301301301301301301301300299301300299299300300301301301300300302302302301301301303302302302302303302303304303303304304303304304304303304304303303302302302302302302301301301300301301301301302303304302303302303303301303302303304303302303302302301303302301301300301300302302301301302301301300298297298298298298298298297296297297298300300301301301303303303302303302303304305305303304303303304304303303303302302302303303302303304304302304303303303301303302301301302302302303302303303304304304304304304304303304304305306305305304303303304303303302301301303302302303305303304304304305305305304303302302302302302302302303303303303302303303303303303303304304303303303302303303302301300302300302302302302300301301299299299299299299299300300301301300301302302300297298299298297297297296298298298298297298296298296296297297296298297298297298298297296295294295296296296296296296296296294295295295294295294294294294294294296297297299297298296297297295297296296295295295295294295294293294294294295294294292292293293294293294294294295295296296295294296296295297297297297297296296295296296296296295295296295295295294293294296296295294293292292293293293293293293294295295294294293294293295295295295295294294295294295294294294294294294293294293294294294293294293293293293293292292292292292292292292292292292292292292292293293293293293292293293293293293293293293293293292291290290290290291291291291292292293293293293292293294292291291292291292291291290289288288288288287288289290291291289289289288287287287286286286286286286286286286286286286286286287287287288288288288288288287288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293292291289999999284285283282285283282284284284284284285286285286285286287286286287286287287288289290291292293293293292292291290289289289289289289289290291292292292291291291292293295293294295296295296294293999999999999282282283287289292293293293291294296296296296297297298298300298300298299299300299299300301301300300298301301300300299300300300297300300301301301301300300299299299299300299299299299298299301301302302302302302301302300301301299299300301299300301299301301300301301301301301301302301301302302303304304304304304304304304303303304303302302302302302302303302301301300301301302302302302302302302301303303302301302303304304303300302302302300302301301300301300301301302302301301301301299299297297296297297298298297298298298299300301301301302303304303304306305305305305305303303303303303303304302301301302301301303303301303303302303302300302303302302301301302302302303303304303304304305304303303304304304304305305305305304304303304304303304302302301301302301302303304303305305305305304303301301302302302302302303303303303302303302303303303303303303303302302304303301301301301298300301302301300300300300298299298299298300300299299299300303302301300297297297297296297297297297298298297298298297297298298297297297298297297297297297297296296295296295295296296296297296296296294295294295295295295295294295294295295297295297297298298298297297296297296296294294295295295295293294293294295294293292292293293293292293295296297297298298297297297297297297297297297297295295296297295297296295296295295295295294293293295295295294294292292292292292292293294294295295293294294294295294295295295295295294296295295295295294294294294294294294294294295294295293293293293293293292292292292292292292293292292293292292292292293293293293293293293293294293293293294293294294293292292291291291292292293292293293293292293293293292293292291291291291291290289289289288289288287288288290290291290289289288288287287286286286285286286286286286285285286286286287287287288288288288288288288287288288288288287288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290288291999999999284280281281281283283284284285286287288289289289288288288287288288287288289289290291292292293293292292292291290290289290289289290291291292292291290290291290293293293294295295295294293292288999999999281288285288289291293291292291293295296296296296297297298299298299299299300300300299301301301300300300300300301299298298300296296299300297298298299299299300299300299300298300299298298300300300302301301301303302302303302299299300299300300302301301302301300300301301301301301302301301303303303304305305304304304304304304304305303303303301303303303302304303303302302302303303303303302302300302302303302302301303302303303301301301300303302302302300301301301303302302302303302300297297296296296296297297298297298298298299299300301301302303305305306305305305305305305303303305301303304301302301300300301301300301302303300300302302302300303302302301301301302303304304303304304304305304303303303303304304304304305305302304303304304304302302301302300301301302303303303302304304304303304304301303300302302303302303303303303302303302303303302303303303302302301301301301301301299301300301301300300299300299298299300300300300300301300300301302301300296297297298297296298295297298297298298298298297298298297297298297297297297297297296297296295296295295295295295295295297297294295296296295296295294294296295294295296296298297297297297297299297296297296298296295295295294293292292293293292293293293291293294295295295296296297297297297297297297296296297297297297297296297296297297296296296296294294294294293294294294296294294293292292292292293293293293294295294294294294295295295295294295295294295294295295295294294294294294294294294294295294294294293293293293292291291291292291292291292291292292292291292292293293293293294293294293294294294295294295294294293294293293293293293294294293293294294292293293293292293293292291291291291290290290290288288288287288288288290291290289289289288287286286286285286286286285285285285285285285286286287288288288288288288287288288288288289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290288999278285276279281282282283284284285286287287288289288288288288288288287287287288288289289289290291291291291291291291291291290289289289290290291291291290290290291291290292293294292293293293293292290290289999999283284289289289293290290292292293294294295296295296297298298298299299299300300299300301302301301300300300300302300296299299299298300299298300300299300299299299299299300299301300299299299299300301302302303303302303302303302299299299300300300302302300300301301302301302302302303301301302303304304303304303304304303304304305303304304302303303303304303303302302302302303303303304304302304302302302304303301302303304302303300302301303302301301301302302302302301301302301300301299298297297296296296296296297297298299298299299300301301301302303304305305304304303303303303304304302303303304301301301300301301303300301300303302303302302303302303302301301300301303305305305303305303304303304304304304304305304303304304304303304305303303303302302302300301301301302303303303304303303302303300302303301303302303302301302303303302302302303302302302303302302300301302298299302300300301301301299300299300299300299299300300300300300300301302302301300297295296296297297297297297297298297297297298298296297297298297297297296296295296296297297296295295295296295296296296296296296296296296296295296296296296295295296298295297296297297298297298300299298297297297297296296295295295293293293293292292293293294295295296296296296296298297297297297297298297297297297297297297297297296296297297296296297296295295294294294294294295295294293292292292292293294293293295294294294295293294295295295295295295294294294294294295294294294294294294295294294294294294294293293293293292292292291291291291290293292291292292291292292293293293293293294294294294295295295295295295294294294294293294293294294294294294294295293292292292291293292291291292291291291290290290289288289289288289288290291290289290289288287287287286286286285285285286285285286286285286286287288288288288288287287288288288288289289288289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999296293295289287282280280279280282284286286285286286287288289289289289288288288288289288288288288288289289289290290290290290290290290290290290290289289290289290291290290289290290290291291291292292291291294293294292292292290999999282287290289289292289290291291293294295295296295297296297299300299300299300301300300302302301300300300300301302302299299298297299299299300300299300299300299300299299300301302300299298298299299301302301302302302302303302303302301300301300301303303301300300302303302302301301301301301302303303303303305304304304303304305303302304303302303302303304304302303303303303302304303303303303303303304302302300301302302303302303302301300301302301299299301301301300301302301301301300299297296296295295296295295295296298299298298299301300300300302303304304304303304302302302303303302303301301301301300301302302303303301301302303302301301299303302302301300300300301302304304305305305305305303304304304304304304303306305304304304304303303302304303302302301301300303303302302302303303303303302303304303302303303303301302302302303303302302301301303302301301299301300298298299301299299300300299300300300299299299299298300300300300300301301300301301299296297297297296297297296297297297296297296297298296298298298297297296297297296298297297297297296297296296296297297298295295296297298298298298298298297296295295297298298295296297297296296298297297297297297297296297297296296295294294294292293292293293294294296297296296296296297296297297296296297297298298297297297297296296297297298296296297297297296295294294294293294295295294294292292292293293293293294294295294294294293294294295296296295295295294294293294294294295295294295294294295295294294294294293293293293292292292291291291291291292292292291292291291292293294293293293293293294294295294296294295295294295294294294293294295294294294293294294293293292292292292293292292291292292292291290290290289289289288288288288289290290290289288287287286286286285285285285285285285285285285285286287287288288288287287288288288288288288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294297999293290290288288284283283284285286287288287286287287288288288288289288288287288288290288288288288288288289289289289289289289289288288289289289289289289289289290291290290290290290290290290289293292292292292293294290292291289999999283286288288289293289290290290293295296295295297298297296297299298301299300301301300303302302302300300300300300299299300297297297298299300300297298300298299298299300300300301301298297298298298302303303302303302303302303302302301300300301301302301303300301302302302301301302302301301302303304303305304303305305305305304305304304303303303303303304304303305304304303303304302302302303302303302302302302301303303303301302302301302300300301300300300299299301300300301301301300298296296296297296296294296295296297297298298298299300300300301304303304304304303303302301302300300301302300301301302302303303303304303303302303303303302301301301302301300300300301303304306305304304304305305304305304304303304304305304304303303302303303302304303303303302303302302303303302303302302302302301303303303303303302301303302302301301301301301302300300301300300299298300299299297298298299300299299299299298297297297298299298300298299302301300300300300298296297297296296297296297297297296297296296297298297297298297297296296298296297297296297296296296296296296297297296295295295297297297299298299298298298297295297297298299294295295294297296297297299298297298297297298297297295295294294294293293294294295296295294296296296296296297296296296296296298296296297297298297296297298298297297297296296297298297296296294294293294295295294294293292292293293293293294294294294293293293294294294295295295295294294294293293293293294295294294294295294294294294294294294294293293293292292292291291291291291292290292292291292292293292294294294294294294295295295295295294294294294295295294294294293294295295294294293293294293292293292292292292292291291291291290289290289289289288287287288288288289289289288287286286285285285285285285285285284284285285286286287288288288288288288288288288288288288288289288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296292292291291288286285286286288287288289289288288288288288289289288288287287289288288288288287288288288288289289289288288287288287287287287287287289288288289290291291290290290290290290290289289290291291291291291291290292291290284292285287287287290291291290289290293295295295294295297296296298298300298299299300300300303302302302301301300300300299301301298298298298296298300299299300299300299302300299298299298300300299299301303302302303303303303303303302302302301299301301302300301303300302301302300301301302300302302302303303304305303303303303304304303304303302303302304303304303305304303304303303304304303304303302302303302302302303303303304301300300302301301301301301302300301302300300299299301300301298296296294296295294295294295295296296297298298299300299300301302302302304304304304303302302301300302302301301301302303303303303301301302303302302303302301301301301301301301302302304304306305305304304304305304304303303304304304304304305304303303302302302302303303302302302303304303303303303302302303302302301302302301301301302301301302300301300300300299299298299299300297299299298296297298296297299298297297298297297299297298298297298300301301300299300301299295297296296296295296295295295296296296296295296296297297297296297298297295299298296297297296295297296295297296296297296297296297299298298298297298297297297298297297298298294296296299300297296297298298297297298297297297297297295296294294296295295296295295295295295296296296296297296297296297298297296296297296296297297297298297297297298297297298297297295297295294294294295295294293293292292293293293293294294293294294293294294294294295294295296295294294294294294294295293294294293294294294294294294294294294293294293292292292292292292291292291290291291292293292292292293294294294294293294295295294293294294294296294294295294294294295293294293293293294293293293292291292292292292291291292290289289289289289288288288288287289289289289288288286286285285285285285285285285285284284285285286286287288288288287288288288288288288288288288288287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293293292293294292292289287288288288289291290290291290290289289289289289289289288287288288287288288288290289289288288288288288288288287286287287287288288288288289289291291291290291290289290290289288289290292291292291291290291289292288288288286287287287288289291292291291291293294294294295295296297297297298300298299299300300300301301301301301300300300299299299299298298297300298299298299298300300300303300301300302301300300301299300301302303305303303303303303303302301302301302301302303302301301301302303302301301302302302302302302302301303305304304303303303304304305304303303303304303304304305305304303303305304304304304304303303302302302303303304304302301302301300302301300300302301302302302301301301300299301301299297297295295294293295293294294295295297298299300299300300301301303304304304304304303303302302302301301302302302301302301302302302301300302303302302302301301300301301301301302303302304306305305305305304304304304303303304305304304303303304303303301301301302302303303303303303303304302303302302302303302302301301301301302301302300300302300300300300300300299297299299299298298298298299298298297298299299298298298298298298297298299300300300301297300302300301296296297296296297294295295296295295295294296295297297295297298298296296297295298298296296296296296296295296296297296297298298298298298297298299298298297296298297298299298298298298298298298298298296298299297297297297298297297296296295295295297295296295297296296295295296296296296296296296296297297297296297297297297297297297298297297297297298297297297297297296296296295295296295295294294293293292294293294294293294294295294294294294294295295296296295294294294294294294294294294294294295293293293294293294293293294294293293292292292291292291291292292291292292293292293293293293293293293294293294294293291294294295295295294295295295294295294294294294294294293293292292292292292292292292291291290289290289289289288288287287288288289290289288288287286286286285285286286285285285285285285286286287288288288288288288289288288288288289288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304999999298293999999292293292292290294293292292291290289289290289290291291290290291290290290290289289288288288288288289288288287287289287288287288288288288288287288288288288288289289289289289290290291291291290289289290291290289289288290291289290290291290289291293287287288288286286288289290290290290291289291292294296295295296297297298298299298298299299299299300300300300301301299299298299300297298297299300300297298298299299299297300301302301302301300299301299299300301301304306304304304303303302301302301302301302298302302300301301301301301301302302302302301301301302303304304304303304303304304304305304303302301303303302303302303303304304304304304304302301304303302303303303302303303302302301300300301301302301302303303302301303301301300301298300298297296294293293294293295294295294296297299300300300301302300301302302304304304303302303302302302301300300300301303301301301301302302302302303302300300299298299301300301301303304305305304305305306305304304305304303302305305303303304303303303303302302302302303303303303303304305304303302301303302303303302302300302301301301301300300300300299298299300299299298298297297297298296297295297297297299298298298298298298298298298299300301301299299300302300298296296295296297297296295294296295295295294297294296298295295299297295294295295296297295296296297297294294296296297297298298298298298296297297298297297297297297296296298298298297296296297297297298297297297297297296296296297297297296296296296296297296296297295296296296296296296296297296297296297296296297297297297298297297298299298298298297297298297297298297297297296296295295295295294294294293293293293294294294294294294294293293294294295295295295295296294294294294293293294294293293294293293294293292293293294294293293292292291292292292291292291292292292292293293292292293294294293293293293294294294293293294294295294295294295294293294294294294294294293292294294292292292292292292293292291287289288288288289289289288288288288289289289289288287287286286286285286286285285285285285285286287287289288288288288288289288288288288289288288288287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999305305999305999999999999999999306999999999999999999999999999999999999999999999999999999999999999296296299293291288289288290290999289293294292291288288291290290290290290291290290291291290290289289288288288288288288288289287289287287287287286288288287287287288288289290289290288290290289290291291292291290290289289291291288289289288290288289288289288289290290290289289287289287287288292290290290290290290291292294294296296295297296297297298299300298298298298299298299301301299298299299299297298298297299298298298300299299299297297300301302300301301301301299299299301301300304305306303304305303303302301302302302303302302302302301302302303302300301301302302301302302302303303304304304304303303304304304304303303300303303304303303304304301303303302303303302302303304303303303302303303304302302302301301301302301303302301301302302301301300300300299297299297295294295293294294295294294295297298300300299299300300300300302303302304305303303302303302300302302300301301302301301300302301301301302301302300300299298299300299302302303303304305305304303304303303304304303302305303304305304305302304303301302302302302304302303302301301304304304304303302302302301303303302302301301301301300300299299299298298298299299296296297297297297296295295296298298297298298297299298298298298298299299300299298299298301299297296296296295296297296295294294295294296295294296296297296297297298297295295296296297295297296297298298296296297298300298299298299300299297298298297298298298300298295299300300301297296298299299298297296296296297296296295296296296295295294295296297296296295297296296297296296297296297297295295297296296296297297297297298297298299298297297297297298297298298298297297296296295296295294294295294293294293294294294294294294294294294294294294295295295296296296295294294294296293294294294294294294295294294294293294293293294293293292292292293292292292291292293293292293293293293293294293293293292293294294293293293293293295295294295295294295294294296294295294295294293294294293293293292292293290291287288287287288288288289289288288288288289289289289287286286286285285286286285285285285285286287287288289289288288289289289288289289289288288288288288288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304301304305305303304304301298999999999999306999999999999999999999999999999999999999999999999999999999294291290291293293292289286290288291289292292287286286287290290290289289289289290290291290290291290289289288288287287287288289289289286284287286286287287288288288287289290290290290290289290290289291292292291290289289290289290289289289289289288289288288289291290290292289289289288289289290291291290290288290290292293294293296295297297296296296298299299298297298299297299298299299298298298298299299298298298298298298299298299299300300300299300302301301302300300300299301301301301303303304303302304303302302302302302301303303303303302301302302302301302302302300301301302302302302304304303304303304304304303304304304305305305301302304305303301301303303303301304303302303304303303303303303303302304303302302302302302301301301302302301301301302301301301301299297297296295295295294294294294294295298299300300300300302300301301303302302304303304304304302302301302302301300302302300300299299301302300300299300301299298298299299300300302302303303304304305304304303303304302302303303303304303303302302302302301301301302303303301302302302302304304304304303304304303304303303302302301302301300299299299299298299298299299300298296295297296296297297297297298298298298297298297297298298299300299300300299299300300301299298296296296295295296295295295295296295294295295295295296297296297298296295298295299297297297296296299299298299300299300300301299298301299298300299298299299298300299299299298300299298295295300300297297295296297296297296296296296295295296296297295296296296296296296296296296296296296296295296296296296296296297297297298297297298298299298298297298298298297298298297296297297296295295295294294294294294294294293294294294293295294293294294295296295296297296295297295295295294293294294294294294294295294295294294294293293295294294293292293294293292293292293293293294293293293293293294293294294293293293294293293293293293294294293295294294294294295295295295293294294294294293292292292293292291289290288287288288288289288288288288289289289288289289289288287286286286286286285285285285285286286287287289289288288288288289289289289289289288288288289289289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295301303303304303303304304304304303301999999303304306307308306999999999999999999999999999999999293293294287289290292298297295292290288288288289291294293295292288284287287289289290290288289289289290292290289289290290289289288287289287289289289289287287288288287287288288288289287287291290290290290290291291291291292292291290289289290290290290290289291288288287287290291291289290291290290290290289290291291292292290291292292292293294294295296296296298297296296298298298297298299297297298299300300298298297299300299297297297298298299300299301301302302302300299301301302302299300299301301301301300302303301301303303302302302303302302300302303302303302302302302302302301302302301302302303301301301304304304303303303304303304303303304304304304304305303304302301302304303302302302303303303302302302302302303304303302301302302302302301301301301302301301301302302301301301299297297297296295294293294294296295297297299302301301301301302302301302302303303303304304303303301301301301300300301299301301299299300300301300300300300299299298299300300300301302302302304305303304303303304304304303304302303302303301302302302301301301301302303302302302302301301303303303302303303303303302301302301302301301301301301298298298298298297297298298297297297296295297297296297297298297297297297298298298298299299300299299298299299300300298296296295295295295295295294294293293295294293295295297295295294294294297294297296296297296298295297297297298299300298298301300299299298298300298298300298300298297301298300299298298300300297296298299299299295294297296296294294294294295294295295295296296296298297298297297296296296296296295295295296296296296296296297297298298298298298299298298298297297297297297298297297298296295295294294294294294294293294294294295294294294295294295295295296297296296296296297296297296296295294295297295294295295294295294294294295294295294295294294294294294293294293293293293294293293294294293293293292294293293293293293293292293293293293293293294294293293294294295295294294295294294294293293293292293293291289288288288288288288289289288288288288288288288289289288288288287286286286286286285285285286286287287287289289288288288289289289289289290289289288288289289288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298295296299300301303304303304304304303304303304305306305306307308307999999999999999999999999299292291291291291286291291293294293291290288288289288289291294291289292289287287288289291290290288288290290291291292290289289289289288288288289288288287288287288288288288287288288289288287287288291291291291291291291291292292292292292291289289290290290291289289288288286288287288287289290290290290290290290290290291291291291291292291291292293294295297298295295298298296297297296297298299299299296297298299298298299296298297298298298299299300300300301301301297297299299301301301301300300299300299301302300303302303303303302303302302302303302302302303302304301301301300301301301301301302302302302301302302303303304303302303303304303303305304303302304304304305304303303301302302305302303302303302302302302302303303302304303303303304303302303301301302301301301301300302301302301301300298298296296295294294295294294295296299300301302303303303302303303303302302301302302302303302301301300300301301300300302301301300302302302301302302301300301300299299298299301301302302303304304303304302303303303303302303303303304301301301300301301301303303303301301302303302302303302302302303302303302302301301302301301302302301300299298298297297298297296297298298297296297296296296295296297297297297298298298299298299300300300298299300299299299296295296294295296295294293295292292291295295296295296296293293296295294297295299297298298298300298298298299299299297298298298300299298298299298302299300300299300298300301300299298299299299300300297296295296296298297295295294294295293294295296295294294296296296297297297297296295295296295296296295296296296296296296297297297298298298298299298298298297298297298297297298298298296295294294295294294294294294294294294295294294295295295295295296297297297296297296297296296297297297295295295295294295295295295294294296295295296295295294294294294294293294294293294293294294294293293292292293293293293294293293293293293292292293293293294294294294293294294294295295295294294295295293292292292291290289289288288289288287289288288288288287287288287289289288288288288287286287286285285286286286285286287287288289288288288288288289289289289289289289289288289289288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300297299299300300301302304304304304304304304304305304307306307307306999999999999999999999999297293295293292291291289291291290289289288288286286288289290290290289287288289289289289289290290290290290291291292291291291290289289288288289288287288288288287287288288287289289288289290289289288288294292291291292292292294293294293292291289289289290290290290289288288288287287289289289289288289291290290290290290291290292292290290290293291291293294295298298295295296297296296296296296296299297300297297298298299299298298298299299299299298299298299300300299300299301298300301301302300299302301299299301301300301302302302304302302302301302303302303302304303303302302302300300302301299301302300302302302303302302302304304302303304304303304305305304303301303303304304303304304303302303302303304303303302302302302302304303302303303302302303303302301301302301304301302300302302301301301300299299297296296294295295296296296298299300300300301301302303304302302301301302302302301304303301302300302300301300301301301300302303301302301303303301300302301302300300301302301302301303304303303303303302302302303303304303303304302301302300301301301300301301301302301303303302303302302301301301300303302302301301301302302301301301300299298298297297297294297296296296297295297297296296296295295297297296297298299299299300299299299300300300299296294294295295296296295295294293293293294294295295294295297292296296296296296297299299298298298300298299299298299298299298298299300300299301301299301300300300299299297299297297299296299297298297296296298296296297296296295295296295297295295296297295295295296297297297297297297297296296296295296295296295296295296296296297298298298298299298298298297297297298297297298298298298297295294295294295294295294294294294294295295295295296295295294295296297297297297297297296296297297297297296295295295295295295294295295295295295295295294295294295295293294294294294294294293294294293293293292292293293292292293293293293293292291291294293292293293293293293294293294295295295295295295295293294292292290289288288288288287288288289289288289288288288288288289290288290289289286286287286286286286286286287287288288289289289288289288289289289289289289289288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302300300300301301302302306305305306306302304306305305306306305999999999999999999999296999297294293291293292290291288291291291290288288288287287289289287287287288288290290290291291292291291292293293294294293292292292291291289289288289288288288286287286287288288290291289291291289288289289291291291292293294294293294295294292291290290290289291290292290289288287287286290290290290289288289289290290291290291292292292290290289289289290292295296297298296295295298297297297296297298298297299297297298298298299299299299298299299299298298299301300301299300300301300301300300300301301302299299299299300301299299302302304303302302301301302302302303304304304303303302302301303302302301302302302303302301302302302302303303303303304304305304305304303302303305304304303302302303304302302304304304304303303303302303302302302303303303302302301301303303302302303303302301302300302300301300300299298297297295296298296296297300298298300302302303301302303302303302302301302300301302301300300301300301299300300302303301302302303303304304303303302302302302302302301303303302302303303303302302303302303303302301303302302301300301302301302301301301301302300301301303302303303303302303302302303303303303303302301302302302301302301300298298298298298298296296296296296296298298297295297295295296298297296297300299298299298298299300299300298295295296295295296296295295295296294294295295295295293296297295296296298297298297299299299299299299299300300300301301300300302302301302302301300300301300301300301299298301297297299296299299296298294296298298296296296295295296298296296296295295297296297297296297296298297296297296295297296296295296295295295295295296296297297297298298298298299299298297298297298297298298297296296295294294295295295295295294295294293294295295296296295295295296297297297297296296296296297296297297297296296295295296295296294295295295295295295295294295295295295294293294294294294294294293293293293292292293292293293293293293292292293292292292293293293293293293293293293294294295295295295294294294293292292290289288288288288288288289289289288288288288287287287287289289288289290288287287286287286286286286287287288288288288288289288288288288288288289289289288288288288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302303302301301302302303304306305304306306305302304306306306306307999999999999999999999999296293293291291289291292291289289289290290290289288289286287288287286287288288289290291292293294295294296295295295295294294293293292291291290289289289288288286285285286287288290290290292290287287288290292293291294296293293292293294294293292291290290289291291290290290289286286287286287289289289288288289291290289291291291292292290289289290291291291293295297297296294295297296297297298295298298298297300298298300298298298298298298297300300298299298301300300299299302299300300299299298299300301299300298300300300300302301301303304303303300301301302301303303303304303303302302302304301301302301302303302302304301304302302302303303304304304304305304305304303303305304304304302303302304303304302304303305303302303303302302302302303304303303302303303304301302301302302301301301300300300301299299299299298298298299296297298299300299301301303301301302303303302304304302303302299300302301300302301300301302301302301302301301301303303302305303302303303303302301302303302303301303302303302303302302302302302303303302302303303301302302300301302301301302302302302301302302302303303303303303304303303303303301299301301302302301302301301299299298297298298298297297297298297296298296297297296297295298297297300299299300299298299300300300299297294294295295295294294295295295294293294294294295295294295295297297297298297296297299300299300299300300300300300299300300300300300300300300301300298299299299300300300301299300300299300299299299297297298297298296297298296295298298300300297296296296297296296296297297297297296298298297297296295295295296295295296295295297297297297298297298298298299298298297297297297297298299297295295294295295294295295295295294294295294295296295296296295295296297298299299298297296297297296295297297297296295295295295296296296295295295295295295294295295294294295294294294294294294294294293293293292292293293293293293293293293292293292292292293293293293292293293293293293294294294294294294295293293290289288288287287287287288289287288288288287287287287286286286288288289289288288288287288287287287287287288288288288288289289289288288287288288289289288288288289288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302999307302302302299302303301302305305307304304305305305306306306306307308308307999999999999999306300298293293293292290288289291292292290290292290290289290290290289287288286287289289289291293294295296297296297296296296296295294294293292291291290289289290288287286286286287286287289289288290289288286289290292294291293293293295294294296294294292292292289290290291291291289288287287287285285287287288289287289289290290291292291292292291290288288291292291293295296296295298298296297296299297297298298298299298298298299299299298297298298299300298300299298299298298299299300298299300299299299298299301300300301300299299302301301302303302302302302303303302302303303302302302302303303303303303301301302301303303303303303303302302302302303303303302304305304304304305305305303304304303303303303304304305304305305304302303302302302302302302304303303303304303303303303302303302302302301302300301302301301299300300300298298298298299300300300301301303302302302303302303304302302302302301299302300301302300300301302300302301300302301301303302302301302302304303303303302302302302302303303302302303303302302302301303303301301301300302300301300301300301300301301301302302301303303304304303304303303302303303302303302301300301301301301301301300299298297297298297298298299297297296298297298296297295296297297298297298299299299299300297300300300298296295295295295295295294295295295295295295294294296295295295295295295296297297297297299300299300300300300300300299300299300300300300302300302301299300299299299300301300300300300300300299299299297298296299299298297297296298298299299299299298298296298298297299297298297297298296299297297297296296296296295296296296296296297296296297297297298298298298298297297297297297297298298297295294294294294294295296295295295295295294295295294296295296296296298298299299297297297297297298296297297298297296295296296296296295295296295295296295295295294294296295294294294294294294294293294292293292291292292292293292293293292292292292292292291291292292292293293292293293293292292294293293293293292291289288289288287287288288289288288287288288288287288288286287288288289290289289288288288288288288288288288289288288289289288288288288288288289288288288288288288288288287286287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303302308305305306302303303304304307306306306305305305306306306306306306308308309308999999999999999308302297292294294292290289289289289290291291292292293293294294291292291291290291292292293293294295295296296296296296296295296295295294293293292289290289290290289287287287287287287287287289288289289288287289291294293292293294293294294295294294294291291290289290292291291291289289288289284287285285286287285286288289290289291291291291293292288287289290291293295295297297298294297297298297298299297298298297299298298300299299298299299299300300300301301301299300298298299300300299299299299299298298299300299300299299299299301301301301302302302302303302303302303303302303301303303302303303303303303303303304301301302303303303302303302303303302303303304303303304304304302302304303303302302303304304303304303304304303303303303302302301302302302302304305305305303302302303302300301302302300301302302302300300299301299299297298297299299300300302303305304302303303303304305302302302303300300301300302302301301301301300302302301300301302301302301302303303304303302303302301302302301302301304301302303301301302301302303302299302301301302300300301300301301301302302302302301302304303303301302302302301301302303303301301300300301302301301301301300300299298299298298298299297298298296297296297297297298298298298299300300300300300299300301301299298296294296295296296296297295294295295296295296297297295296296297295297297297298298298298299301300300299299299300300300300299301301300300300300301300301300300301300300300300300300300299299300300299299298298296299296298297298297298297297296297296298298297298299301297297298297298296297296297297295296296296297297295296296296297297297298297297297297297298297296297297297297297298297295294295294294295295295295295295295295294294295296296295296297297297298298299297297297296297297297296297297298296295296296296296296295295295295295295295295294295293294293293294294293293293293292292291292291292291292293293293293293292293293292292292292292292293292293293293293292292293293293293292293292290288288287287288287289288288288287288288287287287287286287287287287288288288288288288288288288288288289289289288289289288288288288288288288288288288289289289288288288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304301302303304305303302302303302303304306306306306306305306306305305306306306307308309308306999999999999999999298294294292292288288292290290292294293295294296295296296294294294294294294294294295295295296296296296296296295296296295295294294293292290289289290291290287287287287287287286287288290288289291292288290293291293291293296292293294293292293292292291289291291291290291290288287286283284284287288287285287288288289289289290292291292291293291289286289290294294295298296297297298298299298297297298299298299298299298297299299299298298298299300299300299299299299298300299300300299299299298299299299299299299300301303301299301301300301301302302302302302302302301302303301302303303302303303304303304304303302303304301303303302303303303302303303303304303304304304304303303303304304304303304304304304303302304304304305304302304303301302302301302302303304305304304304302304303302301302302302301303303304302303301301301301300300299300301302302302303304305305304305305306306303304303303302301301301301301301302300302298300300301302303302303303303304303304304303302302302302301302301301302302303302303302302301301302300302302302302302299301300301300300301300303303302302300303303302302303302302301302302302301301301301301300302302303302300301299298299298298297297297296297297297297296295296296297298298298298299299298300300300300299300298298297295295294296297296296296295294295296294297297296296296297295297296297297297297298298297298298300300299299299299299300299299298299301299299300299299298299299298298299300300300300300299299300300298299299298297296296296296297296298296297295296297300300297300300300299298298296298297296295297296296296296296296297297296296295296296297297297297297297297298297296296296297297297296295294294295295295294294295295294294294293293293295295295294296296296296298297297296297297296296296297296296297297295294294296296296295295295296296295295295295294295295295294294294295293293293292291293292291292292292293293293293293293293293293293292292292292292292292292293292293293293293292293292292291289289288286286286287287288288288288287287288288287287286287287287287287288288289289289289289288288289288288289288289289288288288288288288288288288288289289288289289288288288287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306301302301299301303302302303303304305305306307307306306307307307306307307307308308310308308999999999999999297296292290290291291291292293294294294294296296295297297298295295295295296295295296296296296297296296296297297296296296296296295294294292290289289289290292288287287288288287288288288289290289291291289290291291291291291291292293293293292291291291289288289289290289289288288288285284284284287285287286287287287288288288289292290292292290292290288288291295295295297297298297298298299298297297298300299301301300298297298299299297297298298299298300299299298299299299299300298298299299300299299299298300299299301302300300302299301300302300300300300302303300301304303302302302302302302303302303303304303304304304302302303303303303303303303303303304304304305304304304304304304304303303304304303303304303304303305304304303303301303303303303303305303304304305305304303302303302302301300301303303303303301304303304301303300298298302304302303304304305304305305303305305303304305303302303300300301301301302300300301300300300301302302303303302303304304304304303303302302302302303303301300301302302303303303301301301302302302303302302301301300300299299299302301300302300301300302302302302303302302302302300301300300300302302302302303302301300299300299297298298298298297297298298298298297296297297296296298299298300300299300299300298299298297297295294295296297297297296295296296296297295296295297296297297296296297297298297297298297298298299300299299300299299299298298298302301299299299298299297298299299299300300299299299299299298298296297297296298298298296296296298298297296296296296296297300299299300299298298295297297296298298297296296297295296296297297296297296296295296296296296297296297296297296296296297297296295296295294294295296295295294295295294294293293293295295293295296296297298297297297296297297297297297297296295296297295295295295296295296296296296295295295294294294295295295294294294295295293292291292291292293293292292293293292293293293293293293293293292292292292292293292292292292293293293292292291291290288288288286287287288287287288287288289288287288288287287287287287287287288288290289289288289288288288288288288288288289288288287287288287287287288288288288288288287287287287287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304306300299300298299301302302302304304306304307306307306306306307307307307308307308309308309309999999999999999999999290286286290292290290294294295295295295297298298297296296296296296296296295296296296296296296295296296296297296295295296294295292292290290289289290291288287287287289288289290289289289288290291292292291292292292292291290293292291290290290290289289290290289289288287288290288286286285285287286286285287287287287287289290290290292292293291290291291292292295296296296296299297297298297298300299300300298299298300299299299297297298297298298299299298299299299298298297298298299299299300299299299299298299298300299300297300300298299300300300302303303301302302302302301302302302303302302302303303303303303304304304303302303303303303303303304304305304305305305306304305303303303304303304304304303303303304305305304303303303302304304303303302302305304303303303303304302302302303302301302303302302304305303301301301302301300301303302305305304306305306305307304303302304303305302302301301300300301301300301302302302301303303302304304304304303303304303302302303304301303302302301301302302302303302302302302302301301303303302301302301299301301299300301301300300299300300301302302301302301302301302300300302300301300301302303301301302300299299300299298299299299298298298299299299297298297297298297298297298300299299299299299298298298296296295293295295297297296296296296296296297297297296296295296296296295296297297297297297297296297298299300300300299299298298298298298298299297299297296296298297299299298298298298298299298296296295296296296296296297297296295298298296296297297296295299298296298299297298297297297297297297297297296296296295297296295294296297296296296296296296296296296296297297296296296297297296296295295294294294296296295294295294294294294294293294295295296296297297298298297296296296296297296297297296296296296295295295295295295296296296295296295295295295295294295295294295295294295295294292291292291293292293292293293293293293293293293293294293292293292292292293292292292292293293292292291290289288287287287287286287288287288288288287288287286287287288286287286287286286287287288288288288288288289288288288289289288288288288287287287287287287288288288288288288287288288287287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304302298298298299301300301301305304305304306305307306306306307307306306307307308309308308307306303999999999999999287284282288290290291293294295296296297298299298298297298297297296297297296296297296296296295295295295295296295296294295294293292292290289288289289290289287288287289289288287288289289289290290290290293293293291291291290292292290289289290289290290290290288287286287285289289291289287285286288287286287287288287287287290288291292293292292292290293292295294294294295297297296296298300301302302301299299300299299298298299298297297298298299299299299299299298299299298300299300299298299299300301298299299300302302299298300300298299299301301301302302300301302301300301302302303303302303302303303305304304303305305304305302302302302303303304305305304305305304304304303304304303303303303303302302302303303303304304303303303303304302303302301302303304304303302303303303302303301301303302302303302303303304302301300301300302304304304304305305304302303305304304302304303304304303305302300302300302301300301303302303303302301303302303303303303303303302302302303302303303302301302302301302302303302301301301301302303300301302303302300300301300301301301299299300301300301301300301301301300301301300299300300300299299301300301301300301300300300299298297299299298298298299298298299297298297297297296298296298299299299299299298298297297297297294293294295297297296295295294296296297296296296297296296296296295296296297297297298297297297298299299300300299300298298299299299298300300299299299298298299298299298300298298299299296297296296296296295296296295296297297298296297297298296296296297297296297299297297296297298295297298298297296296297296296297295296295296295296295295296296296296296297296296296295295297296296296295295294294293295295295294295295294294294294294294295296296296296298299298297296296296296296297297297297297296297295295295296295296296296295296296295294294295296294295294295295295295295294294293291292291292292292292292293293293293293293292293293293293292292292292292291292293291292291291291290289288287287287286287287287288287287288288288288288286286287286287286286287287287287288288288288288288288288288288288288289288287287287287287288287288288288288288287288288288288289288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302302300299299299302301302302303303304306308308307305305306305306306305305306306306306304305306999999999999999291288283281283287289292293295296297296298298298299299297297296297296297297296297296296295296296295295295295296294295294293293292291291290289289289289289289288288288288288287287288290289289290290290291292292293291291289290290291289288290290291290290290290291289289291289291291288288288287287288287287288288287286288289289291294296294294295291290294293294291293295296296296296298298300300301301301299301301301300299297298298298296297298299299299299299296299298298298299300299298298299298300300298300300300300302300300302300299298299300300302301300300301300300300302302301302303302303303304303304304304305304304303305301304303303304304304305303305305305306305304305305304303304304304302303303302303303304304305304303303304303302303303303302303304304305303304304305304304302303303302303303301303304304303302302302303303304303306304304304304303302305303305302304303305304304305305303301301301303301299302302303303301303303302303303303303303303303303303304302304302302302302301302300302302301301300301302302301301301300299302302300300299299298299298298299299299300302300302302301301301301299299299301301301301300301301301300301300299299298298297298299300298299298299300300299299296296295296297298297297299299300299299298297296298298294295294296297297297295295295297298298297298297298297297296296295296296297297297298296298298298298300300299300300299299299300300300298298299299299298297298298299299300300299299299299298298298295296295295298296296296297297296296297296297297296297297297297300297296299300299298299296297297297296296295294295295296295295296295295295296295296297296296296296296295295295296296297296296295295294295296295295294294295294294294294295296296297297297298298298296296295296296296297296297298296296296295296295295296295296295296295295295295294294294294294295294294293295294294294293292292292292292292292291292292292292293293292292292292292292292292292292292291291291292290289289288287287288287287288288288287288288289289289288288287287287287288287287286287287287287289289288289289288288289288288288289288289289288288288288288288288288289289288288288288289288289288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301299300299298299300301303304304304305308309308308307305305305305305304305305306306305304304304303302999300297293294288284280287289290293295297298299299300298298299298297297297296296297296295295295296296295295294294294294294293293294294292291290290290289289289289287287287287288288287288288289288289290289289289290292290290290291290291292289289291290290290290291290291293291290290291291289289289287287288288287287287287287288288289291291295294296293293292292294294292294294297295296297297298300300301300299299301301301297298298297297299298298297298299298298298296299299299299298300299297299299300300301298298300299300301301300301300298299297300300303302299300300301300299302301302302302303304303305304305305304306305305303304303303303304303304304304305305305306306306304305304305304305305303303305304304303303304304305305303303302302302303303303302303304305305304303304305304303304303303302302302302303303303303302302302303303305303304305305305304304303303303303304303304305305304304303304301302301302300302300303302304304305304303302304304304304304304302304304304304302301301301301302302301303302303301302302302302302302301302302299300300298300300299298298299299300301302301301301301301300300299300300300300301301300301300301301300300298299298297297299298297299299298299299300300300296296295296297298297298299299299299298298297297297296294295296295297297296296295297297298298297298297298297297297296296296296295297298297297298298298299299300299300299299299300300300300299300298299298298298299299299299300299299299298299298298299296295297297295295295294297298294293296295298296296298297298297298299298299298298299297298297297297296297295295295297296296297295295295295295296297296296295295296296295295294295295295295295295295295294295295294294294294294293294294295296296296296296297297297295295295295295296296296296297297296296295294294295295295295294296295295295295294294293295294294293293293294294294293292292292291293291291291292292292292293292292293292292292293292292292292292292289292292291288289288289287287287288288288288288288288288290289289288288288288287287287288287287288288287289289289290290289289288289289289288289289289289289288288289288288288287288288288288288288288288288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304301297298297298299298299301300302303303305306308309309307306305305307305306306305306306306305305303304304302301301298295293289282281286290290293296298298298299300299299299298298297297296297295296296296297296297296295294294294294293294292294294292291290290289290290290290290290289286287288288288287287288289289288288289291291291292290290289289291289291289290290289290289290290291290291292290291289289289288289289288288288288288288289288288292291293293293294295293293291294293295292297297298295297298303300302301302300302301301296298298299299297299299298297298298298298298298298300300299299300300299301300300300299299299300300300300300301301300299298299299299301301299301301301301302302302303303304304305305306305306306306305304302303304303303303304304305304303303304305305306305306304305304304305305305305305304304304303304304303302303304302303303303303304303304304304304303303303304304303303303301302301303302303301301300301300302304304303305305305306305305305303303303304304303304305305303303303303302301301301301300302302302302305303303303304304305304303304303302303303302303303303300301301300301302301302301300301301302302302301303302301300300301300299298298299299301301301301300302301300300299300300299299300300301301302301301301300300300298298300297298298299299298299299299300299300300297296296297298299299298298299299298297296297296298296294294296297298294295296296297296298297298298297297297297297297296297296296297298297298297298299298299300301301299299299298298301300297299298298299300299299297298297299299299298298297297296297297298297297296295295296296297296297297297298298295298298299298299296296294296296297296296298296297295296295295295296297296295294295298294295296295295295295294295295295295295295295295295295295295295295295295294294294293293294293293295295296296295296296297296296296295295295296296296297296297295296296295294294293296296295295296295295295294293293293294294293293293294294294294294293292292292293292292293293292293293293294293294292293293293293293293292292292291290289288288288287287288287288289288288288288288288289290289287288288287287287287287287287288288288288288288289289288288288288288288289289289289289289288288289288288289288288288288289288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300303303301299299299301298298301300302301303305306306308308305307306306306304306306306306306305302303302301303302301301297294296999282283285289292295298298299299299299300299298298298297296298296295296295296296296296295294293294295294294294293293294293291290290291291290291290292292289288288289288289289289290289289289289290290290291292291290289289291291290290289289289289288289289290292292292291289289290290290289289289289288288288288289289288291292294294294294294293291294294294292293294293295295293296300301300301299300300299300300297300300297297297296297298298297296297296300299298299299298301300300300299300298302300300301299300300301300300300299298298298299300301300299300301302302302303303304304305305303303305305305305305305304304304305305303303304304303304303305305306306306305304305305304305305304305304304304304303304304304304303303302302302304304304304303305305304304306301304304304303303302302302302301302301300300301301303305303304305306305306305305305305305305305304304305305304304304303303303303303302303302303303304304305305304305304304304304304304303302302302302303301303302302302302303303304303302302302302303303303302303302301300301301300300300299299300300300300301301301300300300301301301300301300301301301302302301301301301300299299299299298298298298298299298299300300299299299299299298298298298298298298297297297297297296296297297296297296297297296296296297297297297298298298297297296296296296296296296296296296296296296297297298299299301300300299299298299299299297297297298299297296296298297298298297296298297297297296297297297295296297297297297297297297297298298298297298298298298298299297296295296295295295296296295295294294293294291292293294294295295294294295294294295295294295295295294294295295295295295295295295295295294295294294294294294293294294294296296296296296297297296295295296295296296296296297297296297296296295295295296296296295296295295294294294294294294294293293294295294294294294294293293293292292293293292293293293292293293293292292291292292292291292292290289289288287287287286287287287289287288288288289289289289289288288288288288288288288287288287288288288288289289288288289289288288289289289289289289289289289289289289289289289288288288288288288288288288288287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300303304302302301299298300298296300300300302303304305305307302309308307308308308305307307307303305304302999999999300999999999999999999999999999286290296297299299300300299299299300299298298298296298296296295296296297296296295294294294294294294294294293292291291291291291292292292291292293291289289288288290288289289288289290289289289291292292293290289290291291290290288289289289290290290289292292291291290288290290290291290290289289290289288289290289291292295295296296295293292294294291292295293292293295298300297298300300299300299299299300299298298296296297297297298297296297296296298298298298297300299300300301298299299300301301300300300300300300299300299299298298297299301302303301301302302302304304303304305303304304304304305305304305305303305304303304303304305304303304304305305305305304305306304305304305304304304303304305305304303303303303303302303304303304304302304304304305305305304304305303303302301301301302302302301300301302302302302304305305305305305305306304306305305305305304304303304303303304304304304304302301301302303304304305305304305304304303304305304304303303304304303301300300300303304303303303303303303302302303303304303303302302301301300301300299300299300300300300300301300300300301300301301300301300300302301302302301301300300300299298298298298298298298298299299299300300299300299299299299299299298298298298297297296296296296296295296296296296296295296295296297297297297298298297296296296296296297296296297296295296296295296296296298300299300300299299299299298298298298298299299299296297296297296297296296295297296296297298297297297297297297298298296297296297297295294297297298296298298297295296295296296294295296297296295296295294295295293291292292295296296295295295295294295295295295296295295295296295295295295296295295294294294294294294293293293293294295295295296296296297297297296295295295296297297296296298296296297296295296296295295296295296295295295294294294295294295294293294293293294294294294294293293292292292292292292292292292292292292292291291291291291290290290290289289288288288288287287287287288289288288288289289290290289290288289289289288289288289288288287288289288288288287288288288288288289289289290290290290289290290289289289288289288288288288288288288288288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301300300302301301300301297300297300300299301301303303305307307305312307309306309306307308308306999999306999999999999999999999999999999999999999999999293295297300300300301300300300300299299299298297298296296296296296297296297295297295294294293294294294293292291292291291291292292291292291294291289289289290290289291291287288290290290288289289291291291290290292291291290289289288287289289291291292292291291289289290290291291290289289289290291291290291290291293294296295295294293293294293292292296295292291293299300299299299300297298298299297299300299297297295297298297299299297297296298298299299300299300301300300300300300301299300302301301301300300299300299300300299297297298300303302302302302302303304304304305304304304305305303304305304306304304304305305304304304303303304303304304304305305305306306305305304305305304304305305305304304303304303303302303303303303303303303304304304305307307304304304303304303302302301302302301301300301301301301302303304305304304304305306305306305305305304304304304303303303304305304304304304303304301304304304303303304304303304304304304304303304303302301304304304304304303304304303304303301302302302302304303303303303302301301300300300299299299299299300300300300300300301300300302300301301300300301301301301301301300300300299299298298298298298299298298299299300300300300300299300300300299298298298298297296296296295296295295295295295295296295295296296296296297297298297297297296296297296296297296296297296296296295295296299298299299300300300299299299298298298298296299298298297296298298297297296298296295295297298298297297297298297297298297297297297297297297297297297297297297297298298298295296296295297298298297295294295293295296295294294293294297297294295296295295295295296295296296296296295295295294295295295295294295295294294294293292293293293295295296295295296297297297296296295294295296296296296296295294296296296296296295295295295295294295295295294294294293294293294295294294294294294294294293293293292291292292292292292292291291292292291291291290291290289288288287288288287288287287288288288288288288288288289289290289288289289289289289289288288288288287287287287287288288287287287288288289288289290289290289289289289289289289289288288288288288288288287288287288287288287288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300302299300300299299300299299295298299300301303302304306307309310307308310308308307306307307307999999999999999999999999999999999999999999999999999999294296298299300300300300300300300300300299298298297297297297298297297296297296296294293292293294294294293292291291291292292290291291291290293292290290290290291292291288288289290290290289288290291292292290289292291291289291289289291288290289290294291290290290290291291291291289289289290291291291291291291291290292294294294295294295293291292293293296295294297296298298297297299298299298298297298301297294295297296296299300300298295297297298297298298299300300301301299299300300301301301302301301301301301300301300299298297298297297297301302302303305304305305304305306307305306305304305306306306305305305305305304305304304303304303305305305306306306306308307307306306306306305306306305306305305303304304304303301303303304302305305305305306306307306304305304304304303303303302301302301301302301299301303303305305305304306306306306306306305306304304303304302304304304305305305304304304305304304303304303305304304305304305304303304303303304303302305303305305305305304304304304304303303304303303303303303304303303302301301301299299299300299300300300299300300300302301301301301302302302301301302302302301300300301300299299298298298299299298299299299300300301300301301300300301300300300299299298297297297296296296295295296295295295296296298296296296296295297297297297297296297297296297296296296297297296296296297298299299299300300300300300299299299299298299298299299298297296296299299299299299298298298298297297295294296298297297297297297297297297297297298297296297297297297297298299296296295295295295295294295295293293295294295294294291295295295294295295296295295296295295294295296295294295295295295295294295294294294293293293293293293293294295295296297296296298298297296296296295294295295295296295295295296296297296296296296296294295295294295295295294294293294295294295295294295294294293296294293292292291291291292291290291290291291291290290290289289289288288288288288288288288286287287287288289288288288288289289289289288288289289289289289288288288287288287287288287287287288288288288288289289289289290290291291289289289289289289289289289289289289288288288288288287287287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302302300296298301298299299299300298298300301301302302304305306306307307305306306307306306306308307999999999999999999999999999999999999999999999999999999295296297299300300300300300299300299299299298298298298298297297297297296296296295294294293294294294294294292292292292292293291292292291290289293290291290291291292289289290290290290290291291292293292293290290291291290291288289289289290289289290291291289289291289291291291291290290290291291291292292292290289290289292292291293294294293292297295294297296295295296296298298298294295298299298297296297296296296295295296296299301300297298298297298298299298301301301301301302300301300301301302301301302301301300301299299299299298298298297300302303303304305304305304307306306304305305305306305306307306305306304306304304304305304304305304305305306307306307306307307305306306305306306306306305305305303303304302303302302303303305304306306304304305306304304305305304304304303303302301300301301301301302303304303305305306304305306305306306306307306305305305305304304304305305306306305304304304306305305306306307306305305305304305304305304305304304302304302305306305305305305305305305305304304304304304303304304304303302302301300300299299300299299300300301300301301302301302302301302301301301301302302302301301301301300299299298298299299299298299299299300301300301301301301301301300300301300300299299298297297297296296295296297296296296296297297296296296296297297297297297297297297297297297297296297297297297297298299299300299300299300300300299299299299299298297298298299298296296299300299299298298298298298293294295294297298298297297297297297296296296297297297296296297297297297297298295295294295295296299295296297295292294294294294294294295295295295294291294294296295295295294294295295295295294295295295295294294294294293293293293293292293295295296296296296297297297297296295295295294295295295295295295296296296296295297295296296295295294294295295295294294293294294295297294294294294294293294294294293292291292291291291290291291290290290290289289289289289289288288288287288287289288287287287287288288289288288289289289289289289289289289289289288287288288287287288287288288288288288289289289290290290290290291291291291290290291290290290289289290289289289288288288288289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301299299298298301298299298299301296297301301300301302303304305305304305307308309307307308308999999999999999999999999999999999999999999999999999999999297298297298299300300300300299299300300299300298299299299298297298297296296296295294293294293294295294294294293293293293291292291291293289289291292292291291291291289289289289291290290289291291292293292293291291292293291290289289288289289290291290291290289288288290291293292291290291291291292292292292292291290290289292291291292295289294293294296294296296297296295297297296299299299296296296297296296297295294294298297297299300300299298296298298299297299300301302301302302299301300300301302300301301301301301301300300300301301298300299301302303304305304304304306306307306305304304304305305306305305305305304303304305305304303303303305305306305306305306306306307306306306306306305304306305305304304303303303302301302304303305303304304304303305306304305303305304304303302301301300300300301301300301303303303305305305304303306307306307307307306307305305305303305305305305306306306304305305305306306305306306306306307306306306305304305305303303303304305305305306306305305304305305305304303303304304303304304304303302301301300299299299300300300300300300300301301301301302301301302302302302301302301300301302300301299299298298298298298299299299299299300300301301300301301301300300300300300300300299299299298297297296295296296296295296296296297296297297297297297297297297297297296297297297297297297297298298298298299299299300299300301301300300300299300299297299297299298298297299299299299298298298298295296293295296295298298298298298298297297297297297297297297297297296297296297298298297297297293295297297297297296296293294293294294292294294294294298294293296296294293293295294295294294295295294294294294294293293293293293293292292293293294295295295296296296296296297297296295295296294295295295295294295296295296295295295297296296296295295295296295294294295294293294295295295295294294294293293294294294292292291291291291291290291290290290290290290289290290289288288288289287288287288288288287288289289290290290289289290290290290291290290290289288288288289289288288288287287287287288288289289291291292293291289290290289290289290290290290289289289289289288288288288288287288287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300299299298298297297298299299297299298297302300298299301303304306306307307303303303306309999999999999999999999999999999999999999999999999999999999295297298299300300301299300300300300300300300302300299300299298299298297297296296296295295295294294295295294294292291291292291290291292292289292293290290290292291293290292289290289290291291291291291292288291290290292292291291289288289289291291291291290289289289289290292293293291291291290291291292293292292291290289289289290291296295288291293295294295295296295295296296294296298300298296296293293294294296294298298297296296299296295297297297298296299298299299297296301303302302301301301301300301299301303303301301302302301302304300301301301303303303304304303305306305306306305304304305305305307305306306305305305304305304304304304304305305304305306306307307307306308308306306305305305304304307303304304303303303302304304302303303303304303305306304305304304304305304305304302301301301301301300302302302302303305305305304304305307306307306307307306305305305304305306305306306305305305306306306305307306305306307306306306305306306306306305305305304303305305305305305305304304305304304304304303304303303304304304303303302301300299299299299300300300301300300301299303301302302301301301302302302300301300300301301300300299298298298298299299299299299299299301301301301300301301301301301300300301301300299299299299298298297298297296296298297298297297298298298298299298298297297297297296295297298298298298298299299299299300299300300301300300301300300300299298298298298299298299300299299299297296298298294295295296296296298298298295298298297297297297297297297296296296297297297297297297297297297297297297297298297296296294294293293294293292294294292294297293294292296295293295294293294293293292294292293292294294294293293292292292292292292293294295295295296297297297297296296296295294295294295295295294294295296295296296297295296296295296296296296295296296295296296295295296296296296296295295295295295295295294294293293292292291291292291291290290290291289289289290290289288288288288288288288287287289289289289289289289289290290290290289289290288289289289287288288288286287287287287287287288288289290289290290289290289289289289289289289289289289289289289288288288288288288287287287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299298297299299298298299299298300299300299301301299300301302299303304304302298299304999999999999999999999999999999999999999999999999999999999999295296297297299300299299299300300300300301302302301301299298298298298299298298298297297296296297297296295295295293293293292290294293292293289290293294292291291290291291289293290290292291292292292292292290290291290292292292293292292287290289292292290292289290289289290288293294293292291291291290291293292293292291290289288999292290293295291293292294294295294295295295296295295297297299295295295293293293293294298299298298298298299296295295297298299297298300298297298300299302305302303301302301300302300301302303301300301301302302303302302302302302304303303303304305305305306304304304306306306306306305306305304304304304304304302302303303304305305306306307306306307307308307305306307305305303304306302306304302302302302304303303303303302302304304303304308305304306306304304306303303301301302300300301301301302302305305305305305306306307306305307306306306305306305306307306306306306306306307306306305306306306307307307307305306307306305305304305305304304304304305305305305305305305305305304304305305304303304304304305303303302301301300301300299301300300301301300300303302302301300302300301300301301301300300301301301300299298298298298299299299299299299300300301301302301301300300300300299300300300299299299299299299298298299298297295298297298298299299299299299299299299299298298298297295297298298299299300300300300300298300300301300300301301300300299299299299298298299299299298300298299299298298298297295295295297298298298298298298298296296296298298297297297296293297297296294294297297298297299299298298299298298297293294293295293293293293293294293294295296294294294294294295295294293292293294295293292293295294292293293293292292292294295295296295295296297297298298297296296295296296297295297296296296297297297296296296297297297296296296296296296296296296295295295296296296296296295295295295295295295295294293292292291291291290291290290290289290290289289289288288288288287287287288288288286288288288289289289289289290289289290289289289289289289288288288288287288287287287287287287287289290291290290288290290289289289289289289289289289289289289289289288288288288288287287288287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296299298299297298297299299300300300300300300298300300299298299299300297300300298296999999999999999999999999999999999999999999999999999999999999293294296299299304301301300300300300300300301301299301300299297298296298298296297297297297297297296296295295295296295293293292296292292292293290291291293293296292292293290288292292287291289290292293293289288290290290293293293293293293291292291293293293293292290290290291293291294295293292293294292292294294293293292290291290290291292293296294294293294294292292296296297296296297296297298297297300292296293298298298295298299299295296294295295297299298298296299299300297302299297301303302300301299302304301302303302300301301301304303302302303302302302303303303304304304307306306305305305306305306306306305306305305305305305304304303303303305305305306306306307307307307308306307306307306306305304303305304304305304303302303302306305303303302302304305308306306305304305305304302306304303302302302300300299301302303303305304303304305305305304305305305305305304305305306306306306307306306306306307307307307307305304307308308307307307308306306305305304305304304304305306305306306306307307306305305305305305305304305304304305304304303303302301302301301301301301301301300300302302301301301302301301301301300301300301301301300300299298298298299299300299300299299301301301301301302302301301301300300299300300300299299298299298298298298299297297297298298299299300300299300300300299299299299299299297299299296300300300300300301299300301301301301301301300300300300299299299299299299299298297299299299299298298299298298297297297297298296298298297297298298296294298293293297297296296296296297297298298298294295294299297295296295295294295294294294293292294294294294294295295294296296294294295295295295295295295295295294295295294293294293294293294295296296295296294295296296296297297297297296295295294296296296296296295296296297297296296296296296295295295295295295295295296295295295296295296296296295295295295294294295294293292292292291291290290289290290289290290289288289288288288288288288287288288288286287288288288288289289289288290289289289289289290288288288288288288287288287287287288287288287289290289289290290289289289289289288289289289289289289288289289289289289289288288288287287288287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297299297297297297299299299300301301301301301301300301300301299299301298298300298301299999999999999999999999999999999999999999999999999999999999297296299299300305306305301300300300299300300301300300299299298297295297297296297297296297298297295295296295294294294293293293292294293290291290291292291291292292291291289289289289288288291290289287289290292291292290292292292293292290289289294291292291291290290290290291293292292292293292292292293294295293293293291290290289290292291292293295295293296297297295297296297297297298297296298296299295296297294300299296294298298298296295295295295297297298300300300301300297303300301302300303301302300303302303302302301301303302302303301302302304304304303303304303305305306305304306305306306307305305304305306306305307305305305304305304304303304305303305305306306307307308307307309306306305305305305306307305305304303303302303304305305304305303303303304306307306304304305305305304305304304304302302303302302301302303304304303303304303305304305306306306304304304304303305306305306308306306306307307307307307307306307306307307307307307308307306305306305305304305305305306305306306306306306307306307306305306306305305304305305304304305304302302302301301301301301301302301301302302301302303302302302301301301301302301301301300300299299299299299299300300300300300301302302301301301301301301301300300300300301300300298299299299299299299299298298298298298299300301301300300300300300300298302299298298300299298298299301302300301302301302302301302301302301301301301300300300300300299299299300300300300298297299299299299298298298297298297297298298297300299298298298297298299298300297297298299299299299298296298299296297296298297296295294293293295294293293295294294295294294292297296295295292294293294295293294294294294292292292291291291291291292293294295294294295295295296296297297297297296295295295296296295295295296296295296295295296295295295295295295296295295294294295294295295295295295296296296295295295294294294294294294293293292291291291289290290290290289289287288287288288288287286288288288288288289287288288289290289290289289289289288289289289288288289288288288288287287287288288287288289289290290289288288288289289289289289289289289289289289290289289290289289288288288287287288287287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297296296293298297298299299300301301301302302301302301300302301301300300298299296296300999999999999999999999999999999999999999999999999999999999291297298300301301300307305304302300299300299299300300300300299299297297297298298296296297298298297296295296296295295295295294293294293292293291291291290295295290290289292292292286288288289291291289289291291290292292290293292290290292294291290290287289291290289288288289290291291293295291292290293292292293292292292290289289289291293291290291292294295295295295294298298296298298298297296297298297296295295295298298298297297298296294293294299298305303301302307301303301300303299298300300297301301301299303300298302302302303304301303302304305305304306303304303306306306305306306307307307307306305306304307307308307306306306305306306306305305304304304306306307308307308308308307306308307306306305306305304305305305305304302304307306305305305305306304305306306306306306306306306305305304303302303302302303303302302303304305304304304305304305305308305305306305304306305307306307306310307306306307307307308308307307308307308307307308308308308307307306307306305306306306307307307307306306305306306307307308307306306307305305305306305305305304303303302302302301302302302302302303303303303302303302302303302302302302302301302301301301300300300300301302301302301302303303303303302302302301302301301301300301301300300299300299299299299299299300300299298299299301301301301301301301301301299301299299298299299300301300302303303303303301302303302302303303302301301301300300300300301300300299300299300299298299299299299299299298298298298299299299300299299299299299299299299299298297298298299299298299298298297295298296298295298298298296294294293292293293290295292297297294294295294294294294294294294294290295292294293294293293291291290289290291292295293293293294294295296295296296296295296296295295295296296296294295296296296296296295296296297296295295295296295295295295295295295295295295295296295296296295295294293293294294294294293292293292291290290289290290289289288288288288288288288288288288288288288288287289288289290290289289289289289290289289290289288291289289288288288288289289290289289289289290291289287289288289289288288289288289289289289289289289289290289289289288287287287287287288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298298297296297299300300298299300300301301302301301302302302300300301299297296295296299298999999999999999999999999999999999999999999999999999999291298297300300300302303307301304302301302301300301301300300299299296296296297297296296297297298298297296297297296296296295294293292294293294292291291292292295291292292292289290289287291291289293294289288290290291292290290292291293291293291289288288287287288290289289288289290292291291292292292292292292293292293292290291290290291292292292291999293295295295295295294297298297297298298297295296297296294294294298297296297297297294297292293296300299303302299299300300298299293301301306305302303302301298298296297301302302301302300302302303303304304303303302302303305304305305305305305306305306305304304305304306306305305307307306306305306305306305305306307308308307308307307308307306306306306306304303307302306304304303302305306306305307305306305305305307305305305305305304305305304303303304301302302302302302303303305305305305305304305306307307307308307307307307307307307307307307307307308307308308308308308309308308309308307309310308309308308307307307307307306306307307309309307307306305306307308308307308307306306306306305305305304304303303303303302302303302302303303304303303303303303302302302302302302302302302302301301301300300300300301301301301302302303303303302302302302302302301301301301300300299299299300299299300299298299299299299299300299300300301301301301300301301301300300298299299300300301301301302302302302302302302302302302302302301301301301300300300301300300300300300300299300300298299299300299298299299298298297297299299299297299299296296299299299298298298298295298298298298298295294298299299297298297297295296293293295295293294295294295294295295294294294293293292293292291295294293292293292293292292293293293290292293293293292294295295296297296294294295295295295295295295294295295296296296296297297296296296297296295295295295295295295296295296295296295295295296296295295295295294294294294295294294293294293293292291291289290289290289288289289289288289288288288289289288288289288288290290289289290289290290290289289290290289289289289288288288288289289288290289289289289289290290288289288289290288288288288288289288290289289289289288288289289288287287287288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297298296297300300297299298300300301300301301300301302302301300301300299298297295296298999999999999999999999999999999999999999999999999999999295293298299300300301302308307305303301301301303302301300299298298298298297298297296297297297298298298297297297297297296295294294294296294294293292293293292293291290289293286294292292291291292292290290288288288290291292292292292293291290289290287286288288290288287289288291289290292291293293292291292292292292292291291291292291291293291291292294294294294294294293294294295297296297298297296296297297295294294293296296294295294294294300299295302298300300299299299294299306299305299300299301303304300298298297297301302299298301301300302304304303303302302303302303304304304304304305304305304305303304304304305303305304304305306306306306305304305306305304306307307307307308308308309305307306305306304303303302303303304304304306306305305306305303306304304307306305306304303305305306305305302302301303301301302302303304305306306305306307304304305306308307308306307307307308307308307307307307307307307307308309308307309308309309309309308308308308307306306306306306306306306307307307306306306306306307307307307307307306306305306305304304303302303304303303303302301302303303303304303303303303303302302302302302302302302303303303301301301301300300300301301302303302303302303303303302302301302302301300301301300300297299299299299299298297298299299299299300299300301300300301301300299300301300300298299299300300301301301301302301300302301301302302302302301301301301301301301301300300300301301301300300299302302300300300299299299299299300299299300297297296297296297297299298299298299299299298298298298299298298298299299295298298298297296297293293295293294296297294297296296294292293293292291292292294291293295293293292292293292292293293294290291291291292295295295295295295296295294294295295295295295294295295296295296295296296295296297296297297296296295296296296296295295296296295295295296296296296295295295295295295294294294294294293293293293291291290291290289289289289288289288288288288289289289288289287287289289289289289290289291289289289290289289289288289288288289288288289290289290290290290289289290289289288288288289289288288289289288289289289288289290289289289288287287287287287288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299300299299300300300299298301301301300300301300299299301301300300300299299297294295297999999999999999999999999999999999999999999999999999287293299298300300302303302307306305300301301300302300301299299299298299299298298296297296297298298299298297297297297297297296294295294296294295293293293293293292290291288289287292292292293293293289291291290289290291291291292292291291291289289289288289289290290289288289290290289291294293292294291291292292293291292292291291292292293292292292293295293293293293294294293293296296296296297298297297297297295293292290296296294294299295294296296299300297298299299301297299299301299300299298300299298299297299297299299299302300299300302300302304303303301301302302302303303304305303305304303303303304304303305304304303304304305305307306305306307305308308307306307307306306307308306307306307306305306304308303304303303305303306305307306306307305306305306304305307307305304304305304304306306303302302302302302302302302303304304305305304305307305306304306307307308308307308307307307307307307307307307307307308308308308308309308308309309308308308308308308307306306306307306307306306306307307306307307307306306307306306306307307306306306304304303302302304303303303305303301303304304305305305304303302302302302302302302302303302302301301301301300300300301301302303303303303303303303302302302301301301302300300301300299300300299298298299299298299299299299299299299300300300300301300299298300299299299298298300299299300300301302302301300300301301302302302302301302302301301302301301300300300301301301301302301301300301300300300299299299300301300297300300298297296297297298299299299296295295299299299299298298298298298299297299298298298297297297294294294293293293295295295297295295294294293293292291292291292293294295294294293292292292292292294293293289291292292295295294295295295294293296296295295294294295295296297295297296296296297297298296297298297297296296296297296297296296296296295296296296296296296295295295295294294293293294294294294293293292292293291292290289289289288288289288289289289289289289289288288287289289289289289290288288289289290290289289289289289289289289289290289290290290290290289289289289289288289288289288289288289289289289289289289289289289289288289287287288287287288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300300300301299299298299300301300301300300300300298300301299299298300300299296296297999999999999999999999999999999999999999999999289292292293302304306299301302302302306303301301300301302300300300300298299298299297296298297297298297299299299297298298296297296293293295297296295296294294291292292291289288293288288289293292292293293290290291290291291292290291291292291290289290289290290290289290290289288290290289289292294292293294291292292292292293291292290290290292293292293293293294292292294295294295293294294296296296297298298297297296294294293294297297295294293297294294297295296297297297300300297299301299300295298298299299297297298298297299301302300298301300301302301303305304301299302302303303306303304304305304304302303303304303303303304302303304304305307305307307308307307305306306306306307306306307307306304305305303306304308306303306305305303306306304305304305305305305307306307306306305305304304304305303305304302303301301302302303302304304304307305305305304304307304306306308307307307307307308307307308309307307308308307307307308307307309308308307310307309308308310308307307306306306306306307306307306306306307306307306307305306304304304305305306305304302300304303303303303303304304303304304305305305305304303303302302302303303303303302303302303303303303300301301301302303303303304303302303302301302302301302302301301300301301300299300299300299299299298299299298298299299300301299300299299300300299299300300300299299300300300300301301301301302301301301301302302302302302302302302302301301301301300301301300301301301301301300301301300299300300300300300299298298298299299298300295298299299295297296294296297299299298298298298298299299299298298298297296296296293294293294294294295295296297297294294294294293293291290293293294293293293292292293294292293294290294292291292295295296295293295294294295294295295294294295296297296296296297296295296297296297297297297297296296295295297295296297297296295295295296296296296296295295295294294294294293294293293294294294292292292292290291290289290289288288288289289289288289289289289289288288289289290289290289290289289290290289289289289289290290290291291290291290289290289289289289289289289288289289289289289289289289289289290289289289289289289288287287287287287288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301304304298300297296300299300300301300300300300299299299300299299299300300300297293295999999999999999999999999999999999999999999293292295296295305299298302302302301306304302300301300302302300299300300299300299299299299298298298298298300299297297298298297297297295295296297297297295295294293292292290289289288290289289291290293292291290291291291292291292292291292291291290290292288291289289289289288288290290288289291292293292293293291293293292292292999999999999291292293294293294293293293292292294294295294291293292296296296298298298294296294294297294294293294292298294294295297296297300297297299299301299298299298300301295299302296297297295296299296298299297300300303302302301303303303299301302302302304304304304304303303304303304305305303303303303305306306306306306307307306306307307306306305305307305305306306305306306305306309308305305306305305304305305305304306304305305305306307307307306306305304305304304306303304303304302301300302303301301304305305305305307306306306305308307306308308308308307308308308307308308308309309308308308308308308308307308308308308308308308308308309307305306306306306306305304305306307307307307306305306306306305304305305305305304303303301304304303303303303303302303303303305305306305304304303303302302303303304303303303302303303303302302302302302303304304304303303303302303302302300302302302302302301301301300300300299300300300299298299299299299300300300300299301300300300300300300300301300300299300299300300300300302302302300301301302301303302302302303302302302301301301301301301302302302301302301301301302302301300300300300300300300300300300297298298298297299299297300297296296296296299299299299298298299299299299298298297296295296296297294296292293295298295295295296295295295295295292291290291292293294293293292292293292293293293290295293294296295295296294293293295294292294295294294295295295296294296296296296296296297297296296296296297295296295295296296296297296295295295295295295295295296295295296295295294294293293294294294294293293293294293292291289290290289289289289289289289289289290289289289289289289289290290290290289290289289290290290290291291290291291292290290290290289290290289289289289288289288289289289289289288288289289288289289290289289289289288287287287288288287288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305305300300299302300299300299300300299298298298297298299299300300299299296294293295999999999999999999999999999999999999291293294295300306308305299300302303302306302302302301302303301300300300300300300300300300299299300299299299297298298298298298298297297296296298298297296295294294294293293292291291289290291290289290293292291291292291292292292291292291291291292290291291289291290291291288289288290289287290293293291291292293291293293295999999999999999999999999292294298289294293293999293295294295292292292293297296296296297296294296296293295295294295295294299295296298296296298297297298300296297303301299299298303299299298299301299299298297297299301300301300303303302302303302304302302301301304303304304303304304303303302304302303303304305305304307305307307306307307307307307307306307306306306306306305306308305305307305306308308306309306304302303304305305304305305306304306307308307306307307304304305305307305304305305304302302302302302302304304305304305307307305305307306309308309308309309308308308309307306307307308307308308308308308308308308308308308309310307308307308308307304306306307306306306304305306306307307308307307308306305306305306305305305305304305304303305305303304303302302303303304303305305304305306303302303303304304303303304304303304303304304302303304303304304304304303304305303303303302301303302302303301301301301301299300300300300300299298301300300300300300300300301300300300300299299300301300300299299299299300301301301301301300301301302302302302302302303303303302302301302301302302302302302302302301301301302301302300300300300300299300300300300300300298299298298298298297297300295297297295297299299298298299298298298298298297296296295296296297296296296297296297297294297297296294293293296294292291292293290291292293293293294294292291294295294294294296294293293294294291294292293294295294294294295296296295295294297296296296296296296297297296297296296296296295296296297297296297296296296296295296296295295296295295295294293293294294295294294294293294292292293290290290290290289289289289289289286289289289288289289289290290290290289290291290288290290290291291292291291291291290290290290290290289290289289288289289289288289288288289288288288289288289289289289289289288288288287288287287288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306300305303294305300299299299299298298298298299298298299300301300299299299297296295295294292999999999999999999298293295293295297298306307307298299300302303303303303300304302301301299299300299297299301301300299298298298298297298298299299298298298297298299297296299296296296295295295294293291292291291293291291291291290291291291292292292292293293292292292292292291291291290290292291291291290289289287289289289291289290293294293291292292293999999999999999999999999999999292293293293293999999295295294293292291294296295297298296296297297296294298292295296298297300295296294295296297296298299299299297301303292298297300295300298299298299300300299299301301301300302303303304303301307304303301302302304303303304303304304303303302303304303305304306305306308305306306307306307307307307307308306305306306306305305306307306307307306306307308306306306304304303305304304305304306306306306308306307306308306307307307307307305303307305304303302302302302303304305305305306306306306307308307310309309310309310309309309310309307306306306307307307307307307308308308308308308309310309308310308307307307309308307307307306306307308308306306306306307306305305306306306305303303304305304301302303302304304303303303303303303303304303303304304306305305305304305305305304304305304304305305304304304304305305305305304304304303303302302303302302301302301301301300301300299300299298299300299300301300300300300300301301300301300300299300300300300298299299300300301301301301301302302301300301302303302302302302302302302302301301301302302303303302302302302302302301302301300301301301300300300300300300300298298300300301297298298297297294294295299297297297298298299298298298299298297297296295295295296295295295297297297295297297296295295295293294295295294293292291292296292293293292295295295294295295296294293296293294295294294292292293294295296292294296295293294295295297295296296296296296296297296296295295295296296295296296296296296296296295296295295296296296296294295295294293293294293293294294294293294294293294293289290291290290289289289289289288289288289289289289289290290289289290290291290290290291291291291293291291292291290290291291289291289289289289289290289289288288290289288289289288289289289289289289289289289288288288287287287288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300303301298300300299299299298300298297298298299299300298300300299299299297297298296295294295295296296999999292295298296297299298305302306301300300303302303302302302301301301300300299299299299300300300297298297297298296296297296297298298298298297297299298298298298295296295294295295294293291292291293290291291291292290293292292291292292292293294292293292292292292292292291292289291292290291291289289289290290291293295295293292292291294999999999999999999999999999999999999999999999999999296297296294294293296297295296299297299296297297295295293298298298296302297297294297297299297299298298298299299301297297298298296298298299297298296300300301300300300297300299305301300303304301302302302303303302303303304304305304305303302304305306304306304306306306305305306306306307307306308307307306305305305305305306306304305305307307306307306306304304303303303305305305306304305306307307307307307307307307307307307305305307307303304305304301302304304303306305305305307307306307307307309310311311311310310310309309307308306306306307307307308308308307309308308307309309309309309309307304307309306308306308307306307307306306306305307307306306305304305304305306304303303302305303304303303303302302304304301301304303305305305305304305306307306306306306305305305305305305305305305304304305305305305305304304303302304302302302301302302302301302302301301300299299300300300300300302301301300300301300300301300301301301299300300300299300300300300301301301301301301301301301301301302302302302302302302302302302301301301303302303302303302301304303303302302299301301301301300300300300300299300299298298301301298297298297298300296298298298295297295298298298299299299298298297296295295295296291292296296294296297297296294295296293294293294293293294294293293295292291294292293293294295294294296295294292293293293295294292292293295294295295295295294296294295296297295295296296296295295295295296295295295295295295296295296295296295296296295295295296295295296295295294293294293292293293293293294293294295293292293292290290291290290290289290290289288289289289289289291291291290290290289290290291294292291291291291291291291291291291290289290289289289290289289289289289288288288289287289289288289289289289289289289289288287288288287287288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297302301301300298298298299298297297298300299301301301300300299299297296298300298298296297298297297291295297299299299298298305306300305300301301304302304302300300301300300299301299299300300299299297297297296297296296297298297297297297297299295299297297297297296295296294293294294293291291290292290291292291291293293291291291292292291295292293293292292291292291292291292292292291291292290288289289290291292293294294293293291294999999999999999999999999999999999999999999999999999294295296296293294297297298296297297296298296297296295294297297297297299299299299296297297299299297298298297298297299299296297295294298298297298299296298299302301302301298298298302301302304302302307303302301302303303304303303305307305305305304305305305305305305306306305305307306306307307306306306306307307306307305306306304305305305307308307305306305306304303305306305305305305306306308308307306306306306306306307305307305305306307306302302302302303303304304303304305305307307308308305306308310310313314312312312310310308308307305306306307307308308309308309308308309309309309310310308306306308309308309307307307306307306306307305305306306305305305303304304304306304303304304301305306304303304303302303304303300302304304305305307304307307306307307307307307306306306305306305305306305305305306305306305305305304304303302303303302302302303302302303301301300300300301300301301301302301301300300300301300301301301301300300300300300300300301300301301301302302301303301302303303303303302303302302302302303302302302302302302303302302302302302302302301302301302302301301300300300300300300300298299299298298302301297296297298297296298296297295296299298297298298299299298298297296295295295295295295296294295297296298296296295295295296297295293294293293295296292294293293293294295293294296296294294295293295293294293293294294293295297294294296293292295296296295295294295295295295295295295295295295295294294295295296296295296295295295295294295295296295296295294295294294295292292292292293293295295294294292292292291291291290290290290290290290291289289289290290289291291291291291290290290292292292292294292291291291291291291290291291291289289290288290290290289289288288289289288289289288289289288289288289289289289288288287287287287287287288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296301299297296297297297298297300301301300301297299299299299298296297298299300300296301301300299296302304298300299298298298301300300301302302302302302301303302302300300300299299299299299298298297297296297296295296297297298298297298299298298297297297297296296296294295295295293292291292292291290290290292292292292291292292292292292292292292292293292292291291290291292291292292293291290290290292293294294294294294294293294999999999999999999999999999999999999999999999999999296295295294293293295297299298296295296294295295296293291294298293297296296297299302292295299301296297296296296297297296296297295295297298296296295296297298300300301303301301303301301296302305305299299300302305302303303302303303304304304304303303304306306305304306306305305306306307307307307306305306307307307307304306305306305305307306307308307307306306304305305306306305306306307308308308307308306306307306308306306307307306306307308305305303304303305303303305304304305307307307305305308309311309314312311311313312309309307306306306306306306307307307308308309309310310309310310309307307308310308307309309308307306306307305306305305305305306306305305304307306305307304302304305302304303302302301302304302304305303303304305305307307307307307306307307307307306306306306305307306306306305306306305306306305304304304304302304303303304302304303303304303301302301301301301301300299301302301301300300300300300300301301299300300301300300300301301301301302303302302302303302302302303303302303302302302301302302302302302302302303302302302302302302302301302301301301301301300300300300300300300299300301299298301300297296297298297298297296295296297296298299298299298299298297297296296296296295295295295296297297296298297292294294294296295294294295292294296295291295294293294294294294294296294292294294295294294292293293294294294294295296297295295294295297295294297296296296295295296295295295294295294294293294294295296295295294295295295295295294296295295295294294293294294292291293293292292294293294293293292292290291292291290290290290290290292292289290291291291292293292293292291292293292292291292292290291291291290291291290290289290289289290290290289290288289288290289289287289290288289288289289289289290289289288288287288287288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293292297299297297297297297300301302300301299298299299300298296294295297298299299299301302302302305306306301299299298299299298298300301302303303301301301302301300299300300298300301299297297297296296296294296295297297298297297298298297298298296296296296296296296295295294294292292292293292291292292292292292292294293291291292292292292291292292293292291292292293292292292293292291290290292292293295294292294295296297298999999999999999999999999999999999999999999999999999296295295294294295295296298295294296294298295295295293293294298301296299297296296296295294294298297296296297296296298298299299295298296296296297297296297298296301301299302300299304298299301298302301301299297300303302304303302303303303303303303303306305305305305305305305305306306306307307307306306306305306305305304306305307305304305306307308306306305305306305305305306306305308308308311308310310310309307305305306305306308308306307306307308306303304305306304304304304305307306307307308310308310310312311311313313309310308308305306307307307306307307307308308308309311310309310310309309309310310309308308307307307306305306305305305304305306306307306305305305305305306307305304304302304304302305302302304304304304304303304304306307308307307307306306306306307307306306307306307306306305306306306304305305304304305303306305302304304304303303304304303303303302302302302301300300301301301301301300300299299300301300300300299299300300300300301301302302303303302302303303302302303303302302303302302301302302303303302302302303302302302301301301302302302301301300300300301300299300300299300300300300301300299298296297299296296297298298296295297297296299299298296299298299298297296296296297296296296297295298295294297297294296295293295295295295296296294296294293295297297295295295295294296294294294294296295293294294291293293292294294295294295295294296296294296296294295295295294294294294295293294293294293294294294295294294293294295294295295295296295295294294293294294293293291292292293293294293293293293292293290291292292292291291291291291291292292291292293293293293293293293293292293293293292292292290290291291290290290291290290289289289290290290290290290289289290289289288289288288289289288288288288289289289288288287287287287288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297293291298299301299298297297296298300300301301299300299299299299297296295296295296295297300301302303305307306306300300298298298299299301301300300302303303301302301300300300300300300300298297298298296296295295294296296297297297296296297297298297298297298297297297296293295295293292292292292291291290291294294293291291291291292291291292292292291292291291292292292293291291290292294292290290292291294293292292295295297296999999999999999999999999999999999999999999999999999999295294294295295294296298298298298300298298298297295296296297300300299299297296294294295293293295300299297298297297296295296295295295302299297297296300301300298298300300302301297301299301302301300299302302302301302301303303303303303303303304304303304305306305306305306306306307306307307307306306305307306305305304305306305305305306303307307306307308308307307305305305306305307308306307311310309308309307306307306306306306307308307307307307306307305305304305305304305305307305307307307310309309309309309311311311311309310308307306306306305305306307307306307307308308309310309309309309310309310309309308308306308306307307305304304305304305305306306306305305305303304306307305304304302303306305301304303301300304305305303303304307307307306306307306306307306306306306307306307307306306305306305305305305304305304304304306304304304304304303304303304303303303304303302302302301301302301301301301300299299300300300300299299299300300300301301301301303302303303303303304303303303302302302302302302302301302302302303302302302302302302302302301302302301302301302300301300301300300301300300301300300299301299299299297297297300296297297296296296296298298298299296298298298298298297296296296296297296296296294295293294297297295295293292295293294293295295295293294294294295295297296295294294296294295294294294293293293292292293292292295294294295295296295295296296296294296294294295293294294294294294294293293293293293293293293294294294294294294294294295295294294294294294294293293292293292292293293292293294293293292292290293293293292293291290291291291292292293293293292293293293293293294292291293293292291290290290291290291290290290290289290291290290290289289289289289289289288289289289287289289288288287288288289289288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294296300301300300296298297296299300298301299301300299299298299298298297296297298297297299301301301301304306303300301300298298299300301301301301302303302301301301301300300300300299299298296297297296295295294295294296297297298297296299298297298297298298297297296297295295295293292291293293295291292293295292292291291291291291291292291291290291291291294293293293292291292291292292291291291290290293293290290293295296297999999999999999999999999999999999999999999999999999297296295294295296294297297298299297298298298298298297297296296296296299297299300297296294294294295299299300299294297299296295295294293295298294298297294299297297301299299298299301301300301302301299299302301300300300299302304303303302302303303303303304305306305306305306305306307307307307306306306305306306306306305305305305306304307305306308308306307307307307306307307304305305309306305311312308307307307308306306305307308308308307306307306306306306304304305304305306306306306308307309313311311311310312311312311311309308309309307306305307307307307307307308308308307310309309309309310310311311310309309309309309307306307307306305306305305305306306306306305305305303304305305305304302305305305303305301303302304304305305304304305306306307307306306305307307307306306306307307307306306306306305305305306305305305305305303305305304305305304304304304304304304304304304303302303302302302302301301300299299300301301299300299299299300301301302302302304303304302304303304303303303303303300303302302302302302302302302302302302302302301301301301301302301302302301300300300300300300300300300301300300299301298298299297295296299300297296297297297299299298299298298296298298298297297297296296297297297297296294295293293295295294294294294294294294293294295295296294294294294294296296295295296295294295294295294294294293292294293292294294294292293295295295296296295295294295295294294294294294294293294294294292292293293292293293294294293293293294293294295295295294293294294294294292293293292292293293292292293293292292292292292292292292291291291290292292291292292293293293293293293293293293293293291292292290291290290290290290290290290290290289290291290290290289289289289289289288289289289289289289288288288289288289289289288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294297297300299299301297297299300302302300300300299300299299300299298299299299299299299300301301304306305307300298298299299299299300300302301302303303301301302300300300300301300297297298297296296295294293295295296296297298298296296297298296296297297296297296296296295295295293293293293292292293295295293293291292292292291291290291290291291292290293292293293293292292292292291293291290292291292289291290292292296297999999999999999999999999999999999999999999999999999294297296295296297296297297299298299296298298299297297297297297297297298298299297298294295294298293298300298299299297299298299299303300294298295297299299298300301300301302300300301302302302303299300301301300301302303301301304302301302302303303303303303304305306306306306305306307307307308307306306306307306305305306305303305305305305306305305306307307306306306306305306304304305305305308306307305306307308307307308307308308308309307307307307306306306305303305305306306305305307307306308312310310309312313310312309311308308308307306308304308309308308308308307307307307309309309309309309310310311310309309309309309308305307306304305305305305306305306307307306305306305303304304303303302303302305305304304303303303305302308305305305307307306307306306306308307307308307307306307307306306306305306307306304304306306305305305306304304304304304304303303304304304304304303302301301302302302302301301300300299300301301301300300300300300301301302301303303304303302302303303304303303303303302303302302302302302302302302302301300302302302302302301302302300302301301301301301301300300301301301300300300300300299300299298295299300300296297296297300300299299298298298298299298298297298297296296297296296297296297296296296292292294294295294294294293292293294294298297296294293294295294295296294293294294294294293293293293293292293294294294293293294294292295296295295295295295295294296294294293293293294294293293292291293292294292294293292290293293294292294295296293293294293293294292292292292293292293292292292292292293292292292290292291290291291292292292292292292293293292293293293292293292292292291291291292290290290290289290290289289289289289288289290290289288289289289289289288288289289289289289288288289289289289289289289288288289289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296300300302298300300298299302300298299301299299299299299300300299300300299299300301301300301304304304305300297298298299300301300299302301302303302301301301301300299299299299297299298297297295295294294294294295295297299298298296297298298298296297297297297295296295294293293293294294293292293294291293293292291290289290290291291291291293291290291291293292293293292293292292291290291292291290291290291290292294295999999999999999999999999999999999999999999999999999999299300298297298298295297297298299298299296296297297298297297297298300299296294297294292293296300296296296292298298298299300298298298303293297294295296297297296299299300302305304299302305303301300302301300301303300301301301301301303303303303304304304305305305305306305304305307306307308307307306306307308306307307306307305305305304304306304305307307308307306304304303304308304306307307306306305304306307306306308309309308308308311310308306306307305305305303307304305306306309307307308310310309309312312309311310309309308308307307308306306307308307310308308310307308308308309309308309310310312310310309309310310309307308308304306305306306307307307306306307306306306304307303304303302301306304303304306303306303303305305305306305305306307306306306306307307307308308307306306306305306306306307307307305306306305304303303303302302304304304304304303303304304304302302302302302303303302302302301301300300300301301302300299300300300299300301300301301303303302303303303303303303303302303304302302302303302304302302302302302302302302301302301300301301300300301301301301301301300301301300300300300300300297300298299297298298299298298296298299300299299298299298296297296298295298298296297297297297296296297296296292296293295293294295295294294294294294294296296297296296295295295294295295294294294294293292293293293289290292292293294293293294293293291295295295296295295295296297297293293294295294293294294292291294294293292292294292291293294293293293295294294294293293293294292293292292292293292293292292292292292291292292292291292290290290291291291292292292292292293293293293292293291292291291290290291290289289291290290289290289289289289290289290290290289288289288288289288288289289289289288289289288288289289289289289289289288288289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292295298299300299298300297299300300300298298299300300300299300301299299299300299300300301302302303303305303300297299299299301301300301301302302304302301301301300300300299297297297298297296296296295295295295294295296297297298297297297297298298297297297297297296295295295295294293294295290292292291292292291289289291290291290291293292292292293293293292292293293294294292292292292291291289291290291290291292293292293999999999999999999999999999999999999999999999999999999300300298297297296297297298300300299299298298298298298297297298296302295297294294296295299297295296295293294295294299298296296297300299296296298298296296296298297297297299300300300303300299302301301300300300301301301302302302303303302303304304304305305305306304305304304304305306308307307307306307307307307308307306305306304305305304305305306307306308307306306304304303304306305304304306307304306306307306306308309308307308308310308310309307306307306304304305305306307307308307310309309309309309311312310309309310308309308307307308306308309308309308308309310309308307307307310309309310310309309309309310308309308309308309307306308307306306306306306306306304305306306305304303303305306305305304304306303306305305307305305306307305305306306306307307307307308308307308307308307306307307306307307307306305304304305303303303302303302304304304303303303304303303302302302303302302303302302302301301300300301302301302301301300301301301301301300301302303302302303303303303303303303303303303303302302303300302302302302302301302302302302302301300301301302301301301301301301301301301300301298300300300299297300298300299297298296295297298298298299298299299299299299299296299295298298297297297297297297296294297292293292293294295295296295295294293293294294295293294294294294296295295294293295293294294294294292292293289290290292293294294294294292294293292295295296295296297297297296296294294294293295293293291293293294293291292291293292292292292293293293293294295294293294293292293293292292292292293291291292292292291291291292291292291291292292291292292292292292292293293293293291291292291292291291290290291290290290290290289289289289289289289289289288288289288288288289289289289289289289289288288288288288289289289288288289289289288289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290299299298299298297299298299301299299300298300300300300300300299301301302301301301301302302303302306304302298300301301302301302302301300302301302301300301299300299298296296296297298297296296296295295296296295296297298298297298298298299298298298298297296295295295292292292293292292291291290290291292291290291290292291291289292293293293293293293292292292292293293292293293293291291290290289292290291294291292294292999999999999999999999999999999999999999999999999999999300297296297297298298298300298299299297299299298297297298298297303296299301295298299300300300298290292291297296300298295301302298300301297297297295297296296298301300299302301301303301300302301301299298300300300302301302302301303303304303304305306305305306305305305304304305307306307307306307306307307307307306308305305304305305305305306308308308307307304306306304304303304305304306305307305306307307307306308308308310308309310310310308307307307305304306306306305308308309308309309310310310311310311308309309309308307308308307308308307309309308310309309309310308307308307308308309309308310310310308310310308311310310309308307308307307306307307306306305304305306305306305303303306307304306307308305306305306305307307305307306306305306305307307307308307308307307308308308307307307307307307307307306304304305304301302302303302302304303303303303302303303302303302302302302302303302303302301301301301301301301301302301300301302301302301301302301302302302303304304303303302303303303303303303303303303303303303302301302301300301302301302301301301301302302300301302301301301301301301298300300300299299302299299298298298297299296297299300299299299299299299297300300300299299298298297297297297296296296294293291293292292294295295295295295295295295296296292295298294295296295295294293295294294294293292292292291291288289292292293292293294294294294293292294295294295296296295294295296296293292293292293293293293293293293292292292292292293294293293292293293294293293293293293292291292291292293292292291291293291291291292292289291291291291292292292292293292292293292293292292291290291292291291290290290289289289289289290289289289289289288289289290289289289289289289289289289289288289289289289289288289289289289289289289289289288289288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289299297297297296297298299298299299298299300300301301299299300301303303302301301302302302302303304304303303301300301302302302301300301303302301301301300300300299298297296297297297298298296295294295296295296296298299298298298297296297299297297297296295295295294294293293291289291291291291290291292292290291290290290290291292292293294294294293292292292292292292292292292292292291289291291291290291291294294293999999999999999999999999999999999999999999999999999999999999297298298297297298298298300300299299299298298299298298297297300300300295294297294300297297294295297290294297297298298296298298301298297297299299301302297300301300303304300300302303298301300301301300300300300302302302302302302303304304304305306306306306306306306306306306308307308307307307307306307306307308308306306306306305305305308308306307309307306305305302304304303303305305304304306305306308307307309310310308309308308308308307308308306305306306307304308308309308309308310311309311311310310309309309309308308308307308308308308308308308309308308310310308308307307308307307307308309309310309310311311311310310307308307308307308308308307305306305305306306306307305304307306305303303304302307306307307306307306309306305306303305306308308307307308307307307307307309309307308307307307308307306304303304303303303303304302302304303302302302304303302303303303303303302303305304303303302301301301302302302302302301301302302301301300301302301301301302303304303304303302303303303302303303303303303303302303302302300301300302302301300300301301302301301300301301302302302301301300298300299299296299299299298299299299299298296297299299299299299300299300299300300299299299298298298297297297296296296295295292293293294294296295295296296295296296296296296293296297297298296296295295295295293293293293294291293292288292293293293294293293294294294294292295296295294296295295295296294294293293292293293293294292293292292293292294291291293292293292293293293294294293294292292291291292292292291292291291292291291291291291290292292291292291291293293293292292293292292292292291292292291291291291291291290290288290290289289289288289289288288289290289289289289289289289288289289289290289289289290289288289289288288288289288288289289289289288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295295295297299298299300300298300299300301300299300300301302303302301301301301302302302303304301299300301301302302301301300301301302301301300300300299298298297296296296297298298297295294295297296296296298298297298298297295296298297296297296295294293292293293293291289290291291291291292292292292290290289290291291292293293295293294293292292292292292292292292292291291291291291291292290291294296295295999999999999999999999999999999999999999999999999999999999999298298297295296298298299301300301300299298299299298297297300301298294298296299295297297295297296298297295295299294299300298298298302300299297299300302300300302302301304304300301300300302301303302302300299301302302300302302302304303304305305306306306306307307307306306306307308307307307306307307308306306307306307306306304305306306307307306308307306306305305302303304306304304303306304305305306308306307309310309308309308309309308307308308307304306306307307307307308309308309310310310310310310310310307309310309308307306306307309309308308307308309307309309308308309309308306308308308307310309309310310310310309307308308309309308309308308307306306306306307306306306306304305306305304305307307306307306306306305307305305305304304306306307307307307306307307307308307307307307307307307307307305305305304303302302303303304304304303303302302304304303302304303303303303303303304304304304302301301300301301301302302303302302301301301301301300300301302302302302303302302302303303303303303303304303303303300302303302301301301301301301301301301300301301300300302301301302301301301301300299299299296299298301300299300300299298297300299299299297295300300299299300300299299299298298298297297296296296296295295295295293294295294293296297294293295293293295295295295296295296295295294297295294292293293292293292292290289293292293292293293292293293294294294293296295293295295295295295293292292295293293292293293294292291293293293293292293292293294293293292293294293293292292291291292292291292291291291291291292291291290291290291291291291292292292293292292293293293291291291291291291291291290291291290290288290290290290290288289290289289289289288289288288289289289289289288289289289288287289288288287288288288288288288288288288289288288287288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294297298302299298301301300299300298300301300300301301302304302302301301301301301303304304301302301301300300300299300300300302302302301300301300299297297297297296295296297298298296296294296296296297297296297297297298297297299297296295294293293293293293292291291289290290290291292291291293291289290290290291291293295294294294294294294293293292292292292292292291291291291291291292290291295296296295999999999999999999999999999999999999999999999999999999999999999297298297296298295299300300300296299300300300298298297303300296297299299299300297297300299296298296294296298294301301302300296299300302300298305299301302300302301302302300301302300301300301300301300301302303301300303302304304303302303305305306306306306307306306306307307308308308307306307306307307307306306304306305305305308307306306306307307306307305305305304304307304302305306304305305307306306307309309308308309308308309309306307308308307307308309308308308306307308309309310309310311310310310310309309309307306307307308308308308308307308308310310310310309309311310309308309309308308309308310309309310309309308307307308308307307307307307307306306306307305307306304307305305306305307307306306306306307306307306305306304305306306307306306307306308307306307307307307306307307306306305305305305305302303303303303304303303303303303303304303303303303303303302303303302303303303303302302301301302302301301303302301303301302301300302300300300302302302303302302302302302303304302302303302303304303303302302302301300300302301301301300301301300300301300302301301302301298301300299299299298299299299299299299299298299299299299296298298298297299299300299299299299299298297298298297297296296296296296295295296296293294295295294294292295294294293295292292293295296295295294295296293293293293293292293293291289289292294294295293293293293292294293294295295294294295295295295295295291293295294292292292292291294291292293293293293293293293294293293294294293293293292292292292291291291292292292291292290291291291290290290290290290290290291291292291292292291292290290291290290290290291290290290288289289290289290289290289288289289289289289289289288289289289289289289289289289289288288288289289289288289288288289288288288288288288289288287288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297297298301300299299301300301300299301300298299301301301303302302300301302300301302300300296300299299299299299299300300299302302300300301300300298297297296296296295297297299297297296294295297294297297296296298297299298298299297296295296294293294294293292291292292291291292291291291291294293290291291290291292293294293294294293294296295294293292292292291291291291293292292292292292293293297297294999999999999999999999999999999999999999999999999999999999999298297294296295297295299300300300296299300300299300297298299302297299301298299299300299302301300296296297295297299296298304302299297299301303299300299298300299301299301298299301300300301302299300299301300300299301303303303302303303303304303306305305306307307306307306308308308307307307306307306306307306306306304305305306305306306306305306306306308307306304304304305305306307306304304305306305307309308308310309310310310310307307308308308308307307308308308308307307307308308307308309308309309308309309309309307307306307308308308307307309306308310309309309310311310310308310309310307310310308308311309309309309309308309307307307307308308307308308307308307306305307305305305305306306305307307306306305306306304307307306306304305305306306307306307307308307307307307306307306306306306306304304305304304304304303304304304304302302303303301301303303303303303303302303303304303302302303302302302301301302301302302303302302301301302300301300300301301302304302302302301301302301303303302302303303302302302302303301299299301300300301301300301301300300301300301301300299300301301300302300299299299299299300299300299298299300296300299297297298299299300299299299299299298298298298298298297297297297296296296296296297296294295294292293292293295295294293294293294297295297297296294295298296294293294294294292293291290294294291294294292293292291291292291291291294295295295295295295294294293292294293291291292292293293292292293293293291292293294294293293292294293292292291291292292292291291291292292292290291290290289290290290290290290289290291291291291291292292291292290290290290290289290290289289290290289289290288289288288288289289289289289289289288288288289289290289289289289288288289289289289287288289289289288288288288288288288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298294296299302299298299301303303301295301300300300299300302302301301301302301298303300299297298299299299302301299300301302301302300300300300300298298297296296296295296296296298295296296294295296296296294296298298298300298299298296297295294293294295293293293292293291291291292292290291292293291290290291291292296293294295294294294293293294292292292290291292291291292292292294293294293295298301299999999999999999999999999999999999999999999999999999999999999297296296295294293297299299300300301300300299299299299301299298296297298297302298298297295299295299297296295300296296296303303302297299298299300300300300302301303304301299301303302301301300300298299300300301301303302303303304303303304304302303305306307306306307306308308309308307307308306306306306305306306306305305305306305305305306306305305306308306304304304306306306307308305305305306308306307307308308309309309310310310309308308308306307305307308308308307307306306307307307309310308309308309309309308307307306307307308307308307305308308309312309309308310308308307310311310311311309310309310308309308310310308307308306306306309308308308308308308308307307307305306306305305306305306307307307306305305304306306306305306305304305306306306306308306307307306306306306306306305306307306305304306303304303303303303303303302302302302302301301303303304303302302303303303303302302302302303302301302301301301301302302302302300300301301302301301301302301302302302302302302302303303302303303303303302302302303303301302300301300301301301301301301301301302302302301302300302301301301301300300300300300300300300300300300300297298297297300300298299299298300299299299299297299299298298298297297297298297297296296296297296295293293292295294294296294294294294294295295296296296297296294295296295294295295292290291294292290295292291291294292292292292293293292292295293293294294294294293293293293292291292292291292293293293292292294293293292291293293293294294293292292291291291292291291291291291292291290291291291290290290290290290290290292289288291291291292292289291292290290290290290290290290289289290290289289290289288289289288289289289290289289290289289289289289289288289289289288290289288289289288289289289289288288289288288288288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295303303302299299300301302300297297295300300300300301302303301301303302300301302298297298300299299301301300300300302301301300299299300299298298298298297295295295296295296297296295294297296296298296296297299300299298300298297296295293294294294293293293293293294292292292291291291291292290291291290291291293293293294295296295292294293292291291291291292292291292291291292293294295298301301999999999999999999999999999999999999999999999999999999999999999298298300300294294299299298301299299299298299299300303298298297295296297298295297298293298292297297297299298299298296299300300300298297299300300298301302301300302302302301303302302301301300302300299298300301301301299301302304303303304303303304304306306306307307307308308307309310309308307306305305305306307305305305306304304303305303305305309306305306304304304306306307306306305306305306307308308309308311310310309309309309309308308308309307307306307307307307306307306306307306307307307308308307310308308306307306306305306306306308305308308310310309310310310310307307310310311310312311311311310308309309310309309309309307308308309309308308307308308308308306306306305307305304308307307306307306307307304306304305305306307305306305306306306307307306306307306306305305306306306305306307305305303304303303304303303303302304305302301303302302303303303303302303302302303302301302302304303303302302301301301301302302302302300301300300301302301301301302300300302303303302302303303302303304303304304301302303303301302302301301300301301302301301301301303302303303304303302300302301301300300300300300300300300300300300300299297296296296296296297297298299299299296299299297298299298298298297297297297296296296296297296297296297294294294295294294295294294294295294296297298297296296296296295295295293296290291292291291290291291292292294293293295292293293293294294293291293293291292292291292291292292292291292292292293292293292294293291292290294292294293292290291291291292292291291292291291291291291291291291290290290290291291290290291291290290290291292293292292291290291291291291289289290290290289291291290289289289288289289289289289290290289289289289289290289290289289289289289289288288289289288288289289288288288288288288288288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302298300300301301301303297297295299300300300303302302302302301302300299299298298298298299301302299299299299300300301298298300300298298298298297296296295295295295295295296299296296298297300301299298300299299298300298297296295293294294294294294294293295293293292292292292291290291291290290290290290292292293294294295295294294291292291292291292291292291292293291293292295297300300300999999999999999999999999999999999999999999999999999999999999299302298297299292294296299296299299300300300298298299299304301296298296299298298298300299295294295299297296298299298296296300299300299300300300301300300299300300302301301301303301303302300301301300298299299301300301301302304305304303305303305304306307306308309307307305307306308308308306305306305305306305306306304304304304304303304304306306308307309306307309306306304306305305306306306306306307308309308310309310309310309309309309309309309308308307307306307306306306306306307306307307307306305307307307308307305306307308307307307307308308310311310310310311309309308307308309310309312309309310311307308307308308307307307308307308309309308308307307307306307307307306306306305306306306307306307305305306306306304304304305307304305305306306306306307307306307306306306306306305305304306303305305304303305305303305302304303304302302302303300301304304304303303303302302301302301303302303304304302302301300301301301301301301301301301300300301301301300301300301302301303303302303302302304304305302302303302302302303301302300302301301301301301301300300302303303302303303301301302301301301300301301300300300300300300299300296297296296296299296299297298299299298299298299297298299298298298297297297296296297296296295296297296296297295295295294294295294294294293295295297296296296296296295295297295295295291291293295291291291294292291293292293293293293293294294294294292295292293293292292293293293293293293293292292292291293292293292291290291294293293292292291291292289292292293292291291292291291291290291290289290289289290291291291291291290291291290292291292292291291291291290290290289290290290289289289289290289289288290289289289289290290290289289289289289289289289289289290289288289288289288288288289288288288288288288288287287287287286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296301297296296300300302297298295295300300302302301302303302301299298300299298299298298299299300299298298300299299299299297300299298298298297296296295296295295295295296295297298296296296296299298298298299298298298297297297297294294295295295295296294294295293292292292291291290291291290291291292290291290292293294294294294293292291293292292292292291292293293293294294296298300300298999999999999999999999999999999999999999999999999999999999999295299296293297298298298300299300300299301300298300299306304300295296297299297297299300294295294295297297299298299297296301299297298298298299301300302299299302303303302300300300299301301301300301301302301300299300300302302303303305304304304305305306307305308307307306304307307308308307307304306305305306306305305305304304303304305305305305308308307307310309306306308307307305306308306306305308308307309309308310309309309308308307308308307308308307307306306306305305305306306307305306306306307306306307306307306306307308306307308308307309309311309307309310310309310307307306310309307309309308309311309308308309308309307307307307308309309310309309308308307307306305307305304306306306307307307306306306306305306306304304302306306304305306305306306307306306306306306305305305305305305305305305305306304303306304305304304303302303302302302302303303304303304303302304301301300303303302302303303303302301301301301299301301301301301302302302300300299302301300301303301302301301303303302304304304302301302302302303303302303302302302302300301302301301304303304302304302303301301302302301301301301301301301301300300300299299296296296296296299296297295296297297297298298300298298298298298298298298297297296296296295296296296296296297296297294294295294294294294294296296297295297297296296295295297296294294295295292294291291291291291291292293294292292293296294293295294293292292292292293291293292292292293291292292292291292292292293291291292292293293292291290290289290290291290292292290291290291291291291291291291289289289291292292291291292291291292293292291291292291291291291291290289288288290290289289289289289289289289289289289289289290289290289289289289289289290290290290290289288289289288288288288288288289290288288287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291295297296297297297297296295297301302303302302300299298300300301299299299298299300299300298297297298299299299300298300300299298299297297296295295295294295296295293296292296296294297299298298298299298299299296297295297295295294294294295296295292290295292291292292291292291291291290291290292292292292291292292294294293292293294293293292293293292291292294295295296298300300297999999999999999999999999999999999999999999999999999999999296296298298299296298298295298298299299298299299297297300299298298296298299298298301298300297294296298295297298299299297296296298299300298299299300300301300303305306302302303300300300300301301301301300302301300300299301302303300304304306305305305308309307307307306304306305307306307307305306305304306306306307306305306304305304305306306307306306308306304308306309308307307308309306306305304306308308308309310310310310310310309308307307308307307307307306307307306305305306305305306304305304306303308307306306307307307309307309310307309309308308308307309310310309309309308307307311307307309308309307309309307307307307308307309307307309309309310309309309307306306306307307306307306306307308307307306307307306305305307306305306305307305306306306306307307306306305305305305305306305304304304306306304306305305304305304304303303303302303302302302302303303305303303303303303303302303303302302303303302301302302303301300301301301301301302302301299299299300302301302302303304303303302305304304302302303303302302302303303303302302302302303303302302302301301303304304304302303300302301302302302302301302302301301301300299299299299296296296296299298299299299295299299299298299299299299299298299298298298297297296296297296296296296297297297297297294295295295296295295296296297296296297296296294298297295294293292296293290291290290290292292294293293292293294294294294294293292293293292294293292292293292292294293291292292291292290292293292291292290292291293290291290290290290291291292292292291291291291291291291291292289291291291289291291291292292292292292290292292293292291291291291290290288288288288288289289289289289289289289289289289290289290289290289289289290290290288289290289290289289289289289288288288288288288287287288287287287287287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298290292295296298297297297296297298302303303301299299299299301299297298299299298299300298297298298299299300300299300300299298299298297297296295296296295294294296294292296296296296294297298296298298296299298297296295295295294294294294294296295295294294294292291290290291291291292292291290291291292291292291291293293293293294293294294294294294293293293293295295999299299299299999999999999999999999999999999999999999999999999999999999298295300297300298299300299300296298299299298297298298299298299298298298298298300299299299303303294299299297298300297299299297298300303301300303300301303301300303301305302300301301302301302300301301300302301301301302302302303302302305305305305305307306306307307307306306305306307305306306306307305307307307308305305307305306306305307306305305305307306305306307309308306304305306307307308307306307307307309310310311308310311311311309309307306309307307306307307306305306306306305305305305306303305306305306306306306305306304309308308307309308309308307307309308309309308309309308307307304307308309309304308305306307306306307307307308308308310310310309308308307308308307307306306306307307308308307307307307304305307308306307308307305305306306306306307307306306306305306305306305306307307307307306305307306305305305304304303303303303304303303303303303303304304305303303302303302301302302303304303302302302302303302302302302302301302302304300300301299301303302302303303302303302303304302303302302303304303303302304304303303302302302302302302303302303304303303304304305305302304303303302302302302302302302301301300300299299299298298299295295298298298298298298299299298299299298299298298298297298298298298298297297298297297296297297297297298297295296297298296296296296297297296295298297297297298298295296295296294295294295294290290291291294294294293294294294292293293293293293292293293292294292294293293292292291292292292293292293293292293293291293292292290289290290291291292292292292292292291291291292292291290291291291291291290290290290290292292292294290290291291292291291291290289290289288288289288290289289289289289289289289289289289290289290290290290290290289289289289289289289288288288288288288288288288287287287287287287286287287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297289299295297297296296298300298303303302298298299299299300299298298297298299299298299298298299299299300299300300298298297297297296297297295295296295294293293293296295296295292296296295297298296297297296295295294295294294294294294294295295295295290291290289290291291291291291291290290291291293293291291292292293293293293294293293294295294293293292295295999999301299304302999999999999999999999999999999999999999999999999999999296295297296299297297301301299296296298299298301301300299297297301299299298301300300299298304303294297297298299299301300301302301303303300302301300301304303306303305303301302303300301302302302302300301302302302301299302303303302303306304305303306307305305307306305308305304306306307307306305306305306306306306306306308306306307305305306305305305307306305305307309308307306307306308307307308306307309308308308310309310310311310309308308307308308308308307307306306305306305306305305304305306306305308305306307307306309306306309308307307308308308309308308309308309309307309309307307306306306306308307308307307308306307307307307308308308308309310311310308308308308307308306307308306307307309307308306306303307306306307308306307306306305305306306307307307305306304304305306307306306307308306306306307306306305305304304304304304304303302302302303304304304304303303305304303302303303303302302303303303301301301300301301302303302302303303304300300301300301303303303302302301301302303303303303302303304304304303303303303303304303303303303302303302302303304304304304305304303301303302302302302302302302302302302301301300299296299299299295298295299298297298298298298299299298299298299299298298297298299298298298298298297298298297297297297298299296298296296296297297296296296297297296297298297296296297296295295293293292292293292291291290294291294294292294293292292293292293293293292293292291292292291294292292292291293291292293293291294292292292293293292292291288289289291291292290292290291291291292291291291290291291289291290289292290290290291291291292291291290290290291292289289289290289288289289288289289289289289289289289290289289289289289290289290290291290290289289289289289288288288288288287288288288287287287287287287287286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294291296295295296297299298299301301301299297298298298299297297297298299299298299298298298300300299298299298297297296297296298296297295295294294293293294293296294294294294295295293294294293295297295295294292294295294294293292294295296295294291290289290290290290290290291291290291290292292294292292292291293293293294295294294294294294294293294295296999999298301306305999999999999999999999999999999999999999999999999297298296296295298298298297302299297298300298298301301301302301300299301300300302300304300301301300302297298302303303301302301300299301303304301301307304304307304303301303303303304303301301301302303301301301301302301300301300302302302305303304304305305306304305306307308306308306303306307305306306305306306306307306307308307309307306306303303306307306308307306307309306308308307308306309311308310310308309310311310310310310310310310310307308307307308307308307308306307306305305306305304307306306305306306306305306307308307307306308309307308309308309311309309309309309309306306309309308307306306306305308308306307307306306307307307307308307308308308310309308308309307309308308306307308307306309308307307306308306308304307305307306306306305306306306306306306306307306305306307307306306308307306307306306307306305305304304304304304304303304303303303304304305303304303303303303303304303304303301303304303302302300301302301303303302303303304304301301301300302303303303303300301300303303304304304305304303304303303302303303303304304303303302303303302301302304304304304303303303303303303303303303302302302302302302301301300299299299300299299299299298298298298299299298298299298299299299298299298299299298299298299298298298299299298297298297298300298300298298298298296297297296296296298298297297296293296297297296296293292293293294292290291290293293294294292292292293293292293294292292294292294293294293292292293293292293291292291291291293293292292292293293293291291290291289289291290289290292292292292291291291291290291291290290290290291289291291289290291292290290290291291290290290289289289289288289288289288289289289289288289290289289288288288290290290290291290290290288289288288288288287288288288288288287287287287287287287287286287286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295291294295296296296297296294303297298297298297297297296296297298299300299299300300298300299298298298297298297297297294295297296296295294294294294293294293292291293293292297290290294295296296295295294294292292294292292292293292291291291292291290290290290290291291291291291291291290291292293292292292292293293293293293294294294293295294295296296999999999299300999999999999999999999999999999999999999999306298300297296295297297298298298297300299299299300302301300300300300300300298300302302302301299299300301303301301299301298299302299302302301300301302299304303303299303304309305303303302303304300302301303303302301302301301301302301301301305303304304305305305304303303303305307305305308306305306308309306306306306306306307304308307309309307308307306306307307307307307308309309307309311310309308310309309309309309309309310310310309309310310311311309308308307307306307310308306307307308305308305306307307304303305306306306305305305306305306308311308309310309310310310310310309310309308310305307305306307308307309310310309309308308308307308308308308308308307309310306306304309309312308307306306305305306307307308307308309307306307307306307306306306306306307306307306307307307306306306307307307307307307307307306307307306306304305304303303303305302303301303304303302304303304304304303303302303303304304302302302302302302301301301302302303302303303303303301301303303303303303304304303303301303303304304304304303304304303303303303303304303305303304305304302302304303303303304303303303304302304303303303303303302303302302302301300300300300299299299299299299298298298299298298299299299298298298299299299298299299299299299299299299299298298299299299299299299299299299300298296296297297297297297297297297296297295296297295294294295294296294295294293291290293293293295295293293294293292294294293292294294291294295292294292292292292292291290289290288289292289292292290290288291292290289289289290289290291290291291290291291291290290290290289289290290290289290290289290289291291291290290290290290290289289289289289289289289289289289290288289289290289289289289290290292291290290290290290289288288288288288288287287287287287287287287287286286286286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297293295293296295295294294301297297298297294295295295295296297299299300299300300298299298300299300297298297297296296295294295296294293293292293292292294293292293292291292288294294296295295295295294294295295296292291290290290292291292291290290290291290290290291291291290291292292290291291292293292292293293293294294294294293293294293294296295999999999999999999999999999999999999999999999999999999300301300298296295295297298299295293299297298301299300294297300300301301301300299300300302302302302302303301307304301302298298299297303301299302302302299300303302302300303304308309310304303301303303303303303303303303302302303302303302303304305303303303305304303303302303305305306307304307307307305308306306306307305304307307308310309309310309307307307307308307308308309310308310310311310310310309309309309309309308310309308308308307310309311311311310311309307309307307308308305308311309306306309308301308308301307307307311305307306305306305308309309309309308309309310309310310308309308310307307307308307307310308308310309308308308308308307309308308305308309308309309307308309309310309308308306306306307307306307307307309309307307308308307306305307305305307307306305306307306308305306306307305306306307307306306306307305305303305303301303301304302302304304304304303304303303303303301301303303303304303303303302302302302301302303303303304303303304304304303302302303303302303301304303303303303303303304304304304305305305304303303305304305305303304303303303301303303303303303303304303304302304304304303303303303303303302301301301301300300299299299299299299298298298298299299299299299299298298299299299298299299299298299299299299299299299301299300300299299299299299301300297297298296298297298298297297296296296295295295293292293295295294293294293293292292292293292294293291293294293294291293294294294292293292292292292291291291290289290289290289289290289289289290290291290291289289288289289289290289290290291290291290290290291291290290290292292291289290292291290289291290291290289290289289289289289289289288289289288289289289290289290289288289289289289290290290290289289289289289290289289288288288288288287286286286286286287286286286286285285286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299288293294296292295296298298298297297295295295296295295297295296296298299299300298301301299298299299298297296297295295295293295294293292293294293293293292293292293294294294294296297296296296295295296295295294292292292292289291291292291291290291290290289289290289290290291291292291291290291292295293293293293294294293293293293292292292295295294999999999999999999999999999999999999999999999999300299297296294297297300300300298297295298298299300299298297297296297298296301301301301300302302302300301301301302305305300302302301300303302301300301301303304303304306303310305305305300307301302303301304303302302302304302304303304303302303304305303304304305303302303303303305305305306304307308307306308308307304307306306306307309311309305306305306307305308308308307308310308310310307312312308311311310310308309308308310310309309309308310311310310311310309311308307309309306308306302307309307307310308306305301304306306306307309308307304307308308309310308309308309308308309308309309308307307308308307309307307309307307310309308308307308309307309308308307308308308309310310308309308308309308309306306306306307307309309307308306306308306307309306307307306306306307306306307308308303305305304306306306306306306307306306307304304305305302303302305305305304304304304304304303303302303302302303303303302302302302302303303303303302303303303303304303303304304304304302302302302302303303303302303303303303304304304304304305304305304304304304304304303303303303302303303303303303303303303304304304304304304304303303303303303302302302301301300300300300299299299299298298297298298298298299299299299298298298298299298298298298298299300298299300300300299299299299299298299299298298300298296296296298297297296297296296296296296296296295294295294293294294292293294292293292292292293292291293294294293293293292293294294292293293292290291292292291290289290290289290290289289287288289290289288288288288289290290290290290291292292290291290290290290290290291292290291290291291290291289289290290289289289289288289289289289289289289289288289290289290290289287289290290290290289290290290290290289290290290288290288289289289287286287286286286286286286286286286285285286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292296299293295294294295298294295298297295295296297296294295295295294296297298300298299300299299299298297297297297296296296294295293294292292293293292295293292290291289288295293294293296295295294294296296295293292293292292289291292291291290290290290289289288289289289289289290290291291290291291292292293293295293294294293292294293294294295294296999999999999999999999999999999999999999999999999999290295295296299300299301301299299297297298295296297302298299297297300298302301303301300297301299298300297296298302300300300301300297298302301297300300302305303304302303302300308309303302302302303303303302302304303304302302303302301300301302303304303303304302303304304304303304302305307305306304305305304304303303303303303304306307303304303304304304305306308307307310311309309309309308310309311310309309308307307308309310309309308309309311310309310310310311311310308305307309305304304304306308306306305303299301307306307305307309307307307306307308310308307308309308308309309309309308307306307306307307307309307309308309308307307308307308309310310308308308307308308309309306309308309309308308307307306306307305307307307307307307306307306307306306306306306307306307305306306306306305304306306306306305305306307307306307304303307302301303304304304304300303299301302300303302303302302302301303303302303302302302301302301303302303303303304303304303303303303302303302302301301300302302302302302303303304304304304304305305304304303304304304304304303302303299301304303305303304303304305303305305304305303304307307304302302302301301300300299300299299299299298298298298297297298299299299298298297298297298299297297297298297298299299300300301301301300299298297298298299298298296298296296296298295295297297297299296296296295295296295295294292294295293293293292292292292293292292294294293292294293294292292294294293294292292292291291291290290291290289289291290290290288288288288289288288288288289290289291289290291291292292290290291290292291289290292292291290291292291292290290290290290290290289289289289290289289288289289289290289290290289289289289289290289290290290290290289290290289289287288288288288288287286286285285286285285285285285285285284284284285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299291293295294294296298297296295297295295297299297295295294295297295297298296296297298299298299297296296298296296296295295293293294292293293293293293296291290289293290291293293294294294293293293295294294291292293291291290290291291291291290290289290289289288289290289289290291291291291291292292292292294294294294294293293292293292293293292295999999999999999999999999999999999999999999999999999297297296298298298301299300300300299299297297294300300304299303302302300302297302300301299299293298296297300300303302300301301301300300301300301299301303305306306305302302300303299301304302303303302303304304305303304301302300301301302302302301303303302304303304304304305304304304305305304305304305305303304301301303302304305306304303305303304304306305305305306307309310308309308309308309311308309309308308308307308308308308308309309308309310309309310309309310310308305305305306303302302304304303303304303305307306303305307301303306306306306307309309306304308308308307307307306308306306307306306307307306307307308308307307307306306307308308309308308307307307308308308307306307308307307307306307306305306306306306306307306306306308306308307306307307306305307306307307305306305306307303305305306305306306306306307306307305307306303304305303303303303301301300301301301302303303301302303305303303303302302301302299302302302301303302304304305304304303304304303302303302301301300300302301302303304303304304304304306306306304304304304304304303302303303302301303303302301301303301303305302304304306306304305306307304304302302301301300299299299300299299300299299298298298298298299299299298297298298298298298298299299298298298298298299300301301300300299298299298298299299298297297298297297296298297296297297296297296296296295295295295294292294293295292293292293293292293294293293294292292292293292293293294294293293292293292291291292290291291291291290289291289290291290288288289289287288289289290290290290290291292290291291291291290289291291291290290291292291291290290290289290289289289290288288289289289289288288288289289289289289289289289287288290289289289289290290289289291289289288287288288288286286286286286285285285285285285284284285285284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290293295297295297298299293295297296296298298297296295294295297293296294295296298297298298297298296296297297296295296294292292293294293292293291295293293291293293291290294292292294295293293291294295294293293292292291289289290290291291290290290289289289289290289289290291291290291290290291293292293294294294293293294293293292291293292293294999999999999999999999999999999999999999999999999298298299295297296298299298298297300300299300296301298302299299300295299299302301295298299299299300297300301299300300302302301300299300300303301302301302303305307307303302306305303303305304303303303302304304303303304303301302300301301301301303300302302302302303304303304305305306305304305306305304304302303303302304303303302306307303305304304304304305305306305306305306309307308308310309310309309309309308309308307308308308308308308308308308308309309311310308309309309307306307306304303302302304305304303304304301304302301302303303304304308307307309307307308308308307308307307307308308308307306308307307304306307308309307307307308306308308307307307308308308307307308307306307307307306308308308307305307307307306304306307307307308308307308307306307307307307308308307305306307306306305303305304304305308305305306305306305305306306304306306303299300304302301301303302303302304302302303303306305303303303303301302303302303301302300304304304305304304304303304303303302302302302302300303303302303304304304304305305307305304304304305304303304303303303302303300302302302302302301302303304305302306306306305305306305306305302302299301300299299299299298298299299299299298298298298299299299297299298297298298298298298298298298299299298299299300300300300299300299298298299296298300298298297297297294297296296297296296296295296295295295295294294293293290293293292292292293293292292293293290291292293292293293293293293294292292292292290292290289291291291290290289288289288289289289289288288288288289289289289290289290291290290290290290289291290290291290289290289289290289289289289289289290288289288289289288289289289288288288289289289289289291290289289289289289289290290289290288289289288288288287288287286286287286286286284285285285284285284285285284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292296298292296295296295295296297297299298298298296294295294294295293294295295296297297297295296295296295296294292293293292294294293294292293292293292293293291290290287293295294293294291291292291293293292293290290291289290291291290290290290288289289289290290290291290291290290290290290292292292293293293294293294292291292293292293293999999999999999999999999999999999999999999999999298298297297298296299298298297295299297298297295299298296298298300296298300301300298296300297299297297304304301302299302303299300299303302302304302302304304301303310307305306304304303304303304304303302304303301302304305301301302302302302302302301301304302303301302302303305305306305303306307306305304302303303303305302304303305306306303304306305305304305306304306306308308307310309309308309309310309309309309308309308308308308308309308308309309309308307309309309310306306307306306304307304303303303300305304304307301299301302304304302302306304306310308307308306309307307309306306306306305306304307305307306306307308306308309307306308308308308307307306307305307307308308307306307307307307307308307307307307307307305306306306307307307308308306307307307307307307307307307305307305305306304304305305307305305304305305304305306304306307306307305300304301302300300300303302302302302301303302303303303302302302302302299303301303302302303305303305304302304304303304304303302303302301302303303303304304304305305306307306306304304304303303304304303301302303302301301302300303302303303305304304304305305305305306305304305303300301298301300299299299299298298299299299299298299298299300300299298299299298299298298298296297300299299299300300299298300300301300300300298299297300298298296295298296294293296295295296294294296296295295295295296294294294293293293292291292292292292292292291291291290292293292292292293292292293293292291291290291291289290289289288287290288288287287289288288289287289288288289290288290290290291290290289290289289290290290290290289289289289289289289289289289289288288289289288289288289289289288288288289289289290290290290289288289289288290290291289290289290289289289288287288286286287287285286285286285285285285285285285285285286284284285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295298294294295297296297296296297299301299298297295295295296295293292296295297298297296296297296294297296293293293292294293292293293292291290293292293292292292291292292293293293292293293293295291293293292291290291290289290291290290289289288288289288290289288289291291290289290290291292292292291291293293292292291290291290292293291999999999999999999999999999999999999999999999299298299297297296296294296297295296295296297298296295296295297297299302301302301302299299300299298297296302301303302302301296300298296303303302302303302301304301304307303303303303303305305304305304304303303302303303304303302302302301300302302301301301301302304301300302303304305305303306307306307307305304304304304304303304304305306306304304304305304304305306305305305307307308309309308309308308311310309309308309309310308308307309308308308308309309309309308309309309307307306306305303304305304303302302302303304306303299299303304308308305302306306307308307306306307306304304305306306305306305303305305306306307307308308307308307307307307308307306306305306306306307307307307307307307308307308307307307308307306306307307306306305307306306306306307307307307307307307307305305306305304305304305305305305304303304304304303304306305305304307303304306304305304301300302303302302302302302303302303303303302302303304301300303303303303303303304303305302302303304304303303303304305304303301304303304303304305306305305306306305305305305304303304304303303303303302302301303303304304304304304305305306306306306304305305304305302301301300300300299299299299298298298299299298299298299299299300299298298298296298298298299297299299298299300300300299299299300301300299299298300300299295295295296296296294295294294295295295295295295295294294294295294295294293292291293292292293292292292292291292292290292292292292291292291292292292292291292290290291291290288290288289290290288289288287288290288288288289290290291289290291289291290289290290289289290290291290290290288289291290290290289289289288289290290290289290289289289289289290289289290289290290290290289289289289289289290289289289288289289288288288288288286286287286285285285285285285284284283284284284285285284285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296294294296295297297295295299300299298298295296294294293293294293294295297297297298296296296296296296294292294294293293292292291291291290291292291294292294290291292291293294294289290291294293292293293291291290289289290289289289289289289289289289289289288290291289290288288289290290292292292292291293292291291291290291291291291292999999999999999999999999999999999999999999300299297298293295294295296297296296299298297295293290295294299300301300300301298300296298298298296298301299301300298301297298297296299303295301306305302301303304303306303305303301302307304304305304303304302302301303302302302302301301301302302301300301300300302301303302304303304306306306305306307307302303303305304305305303304306306305305305304304305305306307307306306306307309309310309308308309310311311310308309308307307308307308307308308309309309309308310309308307306307307308306303305303304303303303304301303299297302302303303308308305305305307307303306307305307308304305303306306307305304305305305306307307308309308307308307306307306307307306306304306304306307307308308306307307307307307307308306306306306305306306304305304306305306306306306307308307308307306307306306305305305304304306305304304304303304304304304302304304304303303300304303306306306305300301300303302303302302302304303304303303303303302303303303301301302303302303304304303302303303303304304304304305304305303300301303302303305305305305306305305305304303304303303304304301302303302302303303303304303303303304305305305306305305304302302302301299299298296300300300299299297299299299299299299299299299299299299299296296297297298298298297297298298297301301300299299302300300300300299299300300296297297298296297296296295294294296294295295295295294295295295296294293295295293293293292293292293293293292291292291291291291292291292292291291291291291291291293292290291291290290290290289290291291290289290289290289289289290290291290291291291290291290290290290289289290290290290289290290290291289289289289289289289289289290289290288288289289289290289290289288290289290289289288288288288289289289289290290289289289288288288287286286286286286285285285284284285284283284283284285285285285284285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297295291293296297295295295298298298299296295296295293293292293293293294296297297297297297295296296296294293294294294293291293292292291292291290291293292291289290290291293292294290291292295293294293293292291291292290288290290289291290290288289289290289289291291289290289289289290290291291292291292292292291291292291293293291293290999999999999999999999999999999999999999999999299299298299295297297295297297297300298298294301296297294296299296299300301302300303299298302296303303301300298298295298298296302297300299302304304303304299304305306303302303302303302302302304303303304303301301302301301301300300301301301301300300300300300303301301302303303301303304304305305307307304303302302304305305304305305304303304304306305304304305305307307305306308308308310310309308309309311310309309308306307307308307306306307307309308309307309309309309307308308308304303303303301302300302303297300297295297300301301306303304306305305305306303304305305304305303305306304306307308305304305305305305306307308307308307307307306305306306304304304305306305306306306307306305307308305305305307306305306305306305306306305305999306305306307307306308307307307307306306305305305305303304305303303303302302303303303302303303305303299302303303304303303302301301301301302303303301301303303303303303303303302302303304302300302302303303303304303302303303303303303303304304305305306304304304304304304305304305304304304305305304301304303304303303303301302302302302300300301302304304305305305305305306306304302303301302300300299299300301300298298297298299299299299299296299299299299300300299298298298298297299296298297299298298300300299299301299298300299298299301299296297299297297297296296295294294296297295294295295295293295295296294294293294294294294293293293293293293293292292291291291291291292292292292292292292291291289292290291291291289290289289289289291291291289291287290289289289290290291290290290291290290289290289289289288288290290289289290289290289289289289288289289289289289290289289288289289289289289289289289288289289289289289290289289289289289289290288289289288288290288286287286285286286285285285284284284284283283284284284285285285285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294294288291296295295295298298298299298295295295293294296294292293294293296297295296298297297296295294294294293294294293293291293292292291290292292291292293290294290290292292292289290292288291293294293293292292292289289290290288290291290290290291291289289290291289290289289289290290291291291290291290291291291291291294293291291294297999999999999999999999999999999999999999999298298294295293296297297296296295297297294295297295296295297301299299301303300300303298297299303300299302298300296296299299300302297302299305304301305304304303305305303304303305301302303303304303303302303302301301303302303301301301302301300301300301300303303302302302305304303304303305305306304306305304306305303305306305304303304304306305306306305305306305305305305306307308307309307309309310310309309308308307307306307307307306306307307307308308307308307309309308307307308306306303304302302302302298297300299296301300300300303301306303305306306306304303305303303303306304306303304305305304305305305305305304305306307307307308306305306306306304304305304303304305304305305307307306307305304305305305305305306306306307306304305305306306306305305305307304306306307306305305304303303304304304304303303301303303304304304304303303302303302304305305303303303302303302302302302302303303304303303303303303303303302301302303299301301302301302304303303303304304303303304303304305305306304304304304304306305305304305304304304304304303303303303303305302303302301302300301300304304304305305306306305305307303301302302303301300300300297300301300298300299299299299298300299298299300300300300300300299299298298299299299298298295299297298300300298298299300297301300300300298297296297297296297297295294295294295296297297295294297295294294294294293294293294294293293293293293293293294293292291291291291291292292292291291292292291290290292291291290290290291287288288290291290290289289290289289289289288290291291291289291292290290289289289289289289289290288288290288290290289288288288288288289289289289289288288289289288290289289290289288289289289289289289289289288289289289289289288287288288288287286286286285287285285285285284284284284284284284284284284285283284284285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292294293295296297294296298297298299298294294292292292292292291294292292293294296296297296295295294295295294293295294294292291292291292290290290290293292292291287287291294291295291291287290294292293292292292291291291289289290289288291290290291292292293291289289288291291290289289289291291291290291290290290290290291294293293294295297999999999999999999999999999999999999999999999294293999999296295295295294295294295296296296295294296294295294300299305304300298293295303298295299299298301301300299299302302299298300304302302303304304302306306303303303304301304305303303303301302300302302301302302302301302301301301301301301302303303302302301302303303304304302303305306306305305305305303304304306306304304304305305305306305306305305305304304305306307307309309309307308309310309309309308308307306308307308306305306307307308308309308309309309308307307308307307306304305303303300299299300299301299299299303305303303304307303304304303303302303304307305305304305305306306306305305304306305305306305305304307307306305305305307303303303304303305305304305305306307308307305305306305305306307307305305305305303304306305306305305304305306306306307307306306305304305304305305305305304304304303303303303305301302302303303302303304304303303306303302303303303304303302302303303304304303302302303303302301301302302301302301303304303302303303304304304304304304305305307304304305305305306304304305304304304304304304304304303304302302302304303301303302303304300303305303305306306305306302303304304302303300302303301302300298300300300300300297299299297298299300300300301300299300300299299298295298297296297296297296298300297297297296298298298299298298298298297297297296296295296295295295295295294296292294295294294294294295295295294295293293293293293292293294292294293291291291291291292293291292292292290292290292292292291292290291289289289289290291290290290289291290289290288289289290290291290290291290289289289289289288289290289289288290289290288289289289288288288288289288289289288289288288288288288288288288288288289289289289288288289288288288287289288288286288287288287286286286285286285285284284284284284284284283284284284284283284284284284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294294291297298295297298297298299298296294293292291292292293293292291290292296296297297294295294296294293293294294294291292292293292292292291293292292293293287289288292293293292290288289294293290292292293291291292291288289291291289290290291291291292288288290291292291290289289290290290291291290290290290290289290292293292293294295999999999999999999999999999999999999999999999295292293999293292293293292292297295294294295294294295296299296296297299297296297298299297301299299301297298296299299298302302302300300301301304303303300303304305302302302303300302303301302300301302302301303302301300301301301302301303301301302302304303304303304304303303301304303302306305306305306305304303304302304303303304304306306305304305304305304305305305304304305307307308308308309309309309309309308308307306306307306306306305306307308309308308308310307308307308307303303305303304305303300297299299300301299298304303303304303302303303303302301305305306307306304305304305306305305306304304304306306306305306304306307307306304305304306304303304303303303305305306306305307307307305304305305305304306305305304305305303304306305306306305304305306307306305305306305305304304305304304306303304303303303302302303305302301301304303302303301304301304302303302304303303303303302301304303303303302303303303303302301300301303301301301303304303303304304304304304303304305304305306307304305305305305304304304304304303304304304303303302304304303302301303301301301301304303304305304305306306306305301302304304304303303303301300300303300299300299300299300300297299300300300300298300299299300300300298298298298298297297295297299300298301298297297299298297296299299297298297297297296297296297295296294294294295293295296294295296294295295296296294295294293293293293293293294293293293292291292291292292292291291291291290291290291292291291291291291291290290290290290290288289290289289290290290290290290290291289288290290289289289289288289289289288289287290289289288288289289288288289288289289289288289288288287288288288289289287288289288288288288288288288288289289288288289288289288288287287287286287287286285285285284285285284284285285284284284285284284284285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293297290295295300295296298297299298296293295294293292294294293294292291292291295295296295294295296296294291294294294292292293295291290289291293293289289291291292292293295289295294287288287295292293291292291291291291288291292291290290289290291290291290287289289289290290289290290290291290290290290290290290289290292291291291294296295297999999297305302999999999999999999999999999293292999293290292290289291292294294294294294294293295296295296299299300297301298300299296296297302300298299297299297300298301302300300298300299304301304306306305301303304302303302302302300299302304303302301303303300302302302303303301302303302304303305304303303304302303303304304303304304305305304303303303303303303303303304306304304303302304305304304304304304304305306307307307307308309310309309308307307307307306306305306305305305307307307308308309308305306308307306307303304304305304302299299302301301301302298304303304303303302303304305303302305304304306304304303303304305305304304303304304305304305305306305306307306306306304303304304304303303303303304304304306305307304306306304305306305305303306305305304304304305305305305305305305306305304305305304305305305304305304305303303303302303303301302302303302303299304302302301304301302301300304304302303304303304303302301302304303302303304303302302302301301302302302302303303303303304304304304305305304304305306306306305306306306305305304304304304303304304304304304303303304304304303302304303302302302301305302304304306305305304303301304302302303303301300300300302301301300300300299300300301300298300300300300300300297300300299300300297297297298297298295299296300299299297298296298297297296299298297296296298296296297297295296296296294294293294293292293295296296295295296294295294294293293292292292293294293293294292292292292291291292291291291290290291290291292291292290291292291291290291292291291290290289289291289289290290290290290290290290290290290289289290291290289289289289290289288288288289288287288289289288289289288289290292288288288287289289290289288289290289289289289289289289289289289289289289289289288288288287286287286286285285285285284285284284284284284284284284284284284284285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289299300301300300298298298298297295294296297296295294293294296293292293292293295295296296295295296296295292292293294292294295294292292293294292290290291291289291291291291291291291287289293296293293292291291291291288289289291290288292291293292291289287289288289287288289289290290290291291290289290290289290290292292291291289294295294999999999297302300999999999999999999999296297296999292291292288292295294296295297298296296297299297298296298300298302299299296294294297301300301298297300300302300298300298302301300303303305298301304303304302304300301301302303304302304305302302302303303302301301302303302302302303301303303302304304303303304303303303303303305305302304305305303303303303304303301302303304304303304303305305305305303304303304304306306306306307307308309309307307306307305305306306304305305305305306307306306307308307307307307304306303302304303305305302298299302301301300300301302301303303303301302301302305307306306304306306306304304303305304304305304304303304303305305306306306307306306304305304304306305304303303303304304305305306305305305304305306306307305304305305305304305305304305305305305307306304305305304305305305305305305305305305303304301303302303302302303303302301302302300301300302303301301302302302302303303302304304301301303304302302304304301303302303302302301303303303302303304304304305305305305305304304304305305306305305305305305304304304303303303304303304303301301303303303304303303303302301302302304302305303303306304305301307304303304302302303300301299298301300301297299301300300299298300300300300300300300300300300299298299298298297297297297298295296298299299297296297298297298297297299297298298298298298297298298296296296296295294295294294292295295296296296295295295294295293293293292291292293294292292291290291292292291291289291291292291291292292292292291291291290291292291291291292293291291291291291291292290291291291290290290290291291291290291290289290290291289289289290287288290290290289289289290290289289289288289290290289289288288288289289289290289288288288288289288289289289289289289288288288288287287287287286286286285285285285284284285284284284284284283283285284284284284285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290284290295296296296297297297297297294295296296295293293293293295294292293291291293295295296295297297300297293294293294291293295295295296293293294290292291291292293289292293292293291290291286294290293290292290291290290292292292291289290290291294291290288288290289288289290290291292292292292291290291290291292292293293294292290291292294295999999298302298300999999999999999999297298295293298297294293292296297296296300299296295295296299298293297298300299300299298299293301298299300300298296294297299300301300297301299302302302305301300305301302301303301302304303306302301301301302302303302301301301302302301301303303303305305304304304304304303302304303304304305302303303304304305303303304303302303303303303304304305305305304303304303304304304304305305306306306307307308308307306306307306305305306304304305306306306307307307306307307306307307305306306305304303303302304304305300304304303304302301302303304302302303301304306305306305304304305307304304304304304305304304304304305304304306306306306305306306305306305305306305304303304303304305303304304303304305304305305305305304303304304304304304305305306305305304305305305304304304304305304304304303304304303304302302302302302302302303303302303301303303302301303302303301303302303301302301303302301304303304303301302304303301300301303301303303303302303303303304303304305305305305305305305304305305307304304304304304304304304303303303303302302303302303302303303304303302303303302302303304303305303304306306303303302302302304302302301301301300301301301301300299299298300300299298301301300300301299300301299299300299298298298298298297297296298300298299298298297298297298298297296298297299299297298297297296295294296296293294295295294294295296296296295295295294294295294293294293293293293293294292292292292293292291292292291292292292291291294293293292293292291292292292292292293292291290291292290291289290291291291291290290290290291291290290289289289290289290290289290290290288289289289288288288287288288287288287288289288289288287287287288289288289288288288288288288288288288288288288288288288288287287287287286286286285285285284284284284284284284284284284284284284284285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284292294295297300298298297295296296296295295294294293292293291292294293293292291292292295296293295296298297293293293294294295293292293293293291292290291294292291291289290291288286286294284285291293293293293292289290290292292293290290291288291291290290291289291289288288290290290291292294294293292292292292293293296297296296291291292293294999999298301305999999999999999999999296295300298298297298299294294299301299293298297296296295296296296295296298295297296296298298298297296298301298298299301300298299300301301304302303303303302304302304304305304301301303304306300302301301304303301301302301302301302302302303304304303303304303305304302302302302303304304304304303305304303304303303303303303304304302303305303302305303303304304303304304304305305305305305307306307307307307305305306305305304305304304304305307307307306305307306307306308305306305305305304304302303303305303303299305302305302300302301303305304304303304306305304304304304305305304304303305305306307306304303304304306306306306307306305306304306305305305304304304303304303304302303304303304304306305306305306304304304305306305306306305305306304304303303303304304304304305305304304304305303304304302303302301302303303303304304304301303305302302302302303302304303302303301303303303303303303303302303304303302301301301302302302303303303303303304305304304305305306305306305305305305304306304305304304304304304304304303303302302303303304303302301304304304304303304304304306304304307304304304307305304304304303303303303300300301300300301301302299299300300301301301300302300301300303301301301301301300301299299299299299298298299299300300298299298298298299299297298297298298298297297299297298297296295295296294293295295294294295294294294295294293294294295294294294293291292293293293292292291291292291291292292290292293292291291291292292291292292292292291291291292292291291291290291290290291290292290290290289289290290291290290290290289290290289289289289289288289289289288287289288288288288288288288288288288288289288287288288288288287288288288288288288289288288287287288287288288288288288287287287286285285285285284284284284284284284284284284284284284284284285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284288289291295297299297296296297298296295295294293293293293291291291291291291291292290293293294295296294295294293293293293292292293294294291290292291289290289291287290288285285290287290290290290292292292293292289289289290291290292292293290291291296292290290290290288289291292293292291292293291291291290290291293295295296290294292292293293293294297302999999999999999999999999999298297293294298299297299297297298297300293294294295295294293295295298295296293296296295300299297295298297297300301301297299299299298300301301300299304303303303303302301302302302302304302302304303302300302301303301302302302302302303304304304306303303304305303304302301304303303304304302302303304304303304305305304305304304305304305305305306304304304304304304305304305305304305306306306307306307307306306306306304305305304305304304307306306306306306307307306309306304304304304303305303304304304304301300304304303302302303304305306306305305305305306305304304305306304304304304305304306303304304305304305306306306307306306305306306305306306306304302305305304303303302303304303305304306306306305306304305306306306306307307307306305305304304304304303305305304306306306305304304304303304305304303302303303304305307307305305303305303304302303303304302303302302303305304305304302303302303303304303302303302303303302302302303302303305304304304305306306307307306306306306306306307305305306305305305305304305304304303303303303304304304304305305305307305305305304306306305306306305306306306304304304304304304304303300302302301301301301299299301301301300303302301302301301301301300301301301300300300299299300301298299302299300299298298299296299298298297298298298297298297298298297297296297296296294293292293295295294294294296295294295294294294295294294294292291294293293292291291292291291292291291293292291292292290290291291293291295292291293292291291291293291292290291291289290290290290290290291290290290291290290290290289289289289290289289290290289289289288288288289288288288288288287288288288288288287287288287288288287287289288287288288288288287288289287288287288288288288288287287287286286285285285284285284284284284284284285284284284284284284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281288293295297298296296296295297296296295295294292292290289289288291291289290291290290293294292293295294293294293293293292293293294292292291296293291288291292291290289286288288290283290287290290290291293290290290290290291292290291293285291291295292289289291290289289290292293292292292292291290289290290289291293292292293292290290291292294295299999999999999999999999999999999300297295298301297299999999999999298297292294294296295294293296294295295297295297298297297297296299296299300301299298295300298300299301303299301303303302302301303303302300301303302304303302302301303301303303304302302301301302303303302303303304305304303304303303302302302302303301301302301302304303304304304304303305304304304305305305304304304303303304303303303304304305304305304304305306306307307307305304302302304304304305305303306306304304305304306306307307308308305305307305305305305305304304304301303305303302303305304308305306306305305304306304306306307305305305304306305304306303303302305305306305306305307307307306305306307306306306305305304304304303302303302305305304305305304306304304303306305306305306306305304304304304303304303303303303304305304303304304303304304303303303302302302302302304304303305306305303304303303302301301301302303303305304302304304304303302302303303302302301301301303303302302302304305305304304305305305305306306306306306306306304307308305305305305304304303303303303303303302303303303303303304304305304304304305304304304305305304306307303303304305304304304304303303302302302301300301301299299299301301301300300302301301300300300301301301301300300300299299298300299299299300299300299298298297297297298297296297297298297298298300298296296297296295295294294293295292295296295294297295294294294293292293294294293293292293293293292292292292292292291291292293289291292292291291291291292292292290292291291291292292292292291291291290290290290289290290290290289290290290291291289291289288289289289288288289290289290288288288287288289289289288288288288288288288288288287287287288287286286287288288288288288286288288289287286288288287288287287287287287287286286285285284285284284284285284284284284284285285284285285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284291294295295295295297297299297296296295293291289289289289290289290290290288289290289290292292292296295292292291292293294295292292293292293293292289291292288288288287288287291289287289288292292292290289290290290290290291292293290294293291291294291291292292290289289291292291291292293291290290289289291286288291290290294295290291291292294294999999999999999999999999999999999294294290289292297999999999999999999294295294295294296296297295294294293298295293295295296296297298296300300299298295295297298299302301299300300302301301300302302302300302302301301306303303301300301302301303302303302302300301301302301302302303304303302303303303302302302302303301302303304305304304305304304304304305304303304304304304303304302304303302302304303304303304304304304304304305305306307306303302301303304303304304304304305305307304306305305304305307309308307306305306305303303306306305305303303303305303303302303305306306305305304305303304304304304303304303301304302304303301305304306305306306305305306305307306306305307308307306304304303303303302303303303303303302304306305304302303305304304304304304305305304304304304304303303303303303303303303303304303302303303302304302303302302303303301302302304304305303304302302303303301302303305305302302302304303303303302302302302301302302302302303302304303303303306305306305305306306306307307307306306306307305306306307306306305304304304303303303303303302302302302302303304305306304304304303305305305305305305307303303305304304304305303303303302302302301301301300301300299300301300302301300301302301300299301300301300300300299299299299297298300300299298298298298297298298297297296297296297298297297298297296297296297296295295296295295294293293295294294295295296295295293293292293294292293292292293292293293292292292291291292291291292291291292291291291291292292292292292291292290291291292291292291292291290291290289290290289290289289290290291289289290290289288288289289288288289289289289289289288288287288288288288288288288289288287288288287288288288287287286288287288288288288288287287287288287287287287288286287286287287286286286285286285285283284284285284285285284285285285284285284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286290294295296297298297298297297297295293290289289289289289290288289289290289289289287291292292294291292292292291292292296295294293289292292293296294293295291286286290287288289290288289284292291293289290292290290291290292293292292294292292293292291292292290289288289291291290289290292292290290290289289290291290292293293293290293290292293292999999999999999999999999999999999999292292299296999999999999999999999999292295294296293297296296295293291294290294295298296297298296298300299301298300299297298302299298297295299299300298301301302301300303302302302302300303302301301301300300301302300301301300300300300301301302303305302303302303302302302302302302303304305305304304305305304303305305304303304304304304303303305303304303302304304304304304303303304304304304304304306304303303301303305303305304303304304303305305305306303305305306307307308307307306303299304305303304304303304305305304304302304305304303304303304305303303302303303303303303303304303304303303303305305305307308307305306306307307306306307307306304304304302303303302303303303302303303304305304305303304304304304303304304304305305304304304304303302302302303304303303304303303303302304304303302301301302302301303302302303303303303303303303302301302303304304302303303303303304302303303302301300303302302303304303303305305303303304306306306306306307306307307308307306306306306306307307306307306305305304303303303303304302303302304304306306302304303303304304305305305303305305302303303305305304305305304303302302302301301302301301301300300300300300301301301300300301301300300300300301300300301300299298298299299299299298298297298297295298297298297296295297298298298298298298296297297296295295296295295294294295293294295295294297294293294295295293293294293291292292291292293291291292292292291292292292292291292292290289290292291290291291291291291291293291291291292291291291291291289289290290291289289289290290291290290289289288289289289288288290290289289289290289287288288288288289288288288288288287288288288287287287288288288287287287287288287286287287287286286287286287287287286286287287286286286286285285285285284285284284285284285284285285284285284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284289294293292296298300300299298296294290289289289289289288288288288289290290289288288289288292293295293294292293292293294293290294291290291292289290290294292287287289288288288288289288287293292287290290292292291291289291293293291294291293293296292292292290290290290290291291289289290290290289289289290290292291291292293291290294293294292293999999999999999999999999999999999999999999297296999999999999999999999999999294294999294296294298292290295999999291295296295298298297298297298300301299298297299299297298298296295299298298299299300301303304304302302302300300302303302302301300301300300302303302301301301302304303303304299303303303303303303303304304304304305304304305304305304304304303303304304304304303304304303302303303304302304303304303304304304303303304303304304304304303303303304304303303304304304304305305304304305307304307307307308308304303304302300305300303300305305306305305306305304305306303304305304304303304304303303304302303305304304304303303304306305306306309306307307306308306306307307306306304304303302303304302301303302302302302303302304302303304303304304304304305304304303303303303302303303303302303303304303304304303302303304303302301302302302302301302300302302304303304303303303302303301302302303302302303303300302301300303302302300302302303302303303304305305304305305305305307306306306306306307307307306306308306307306307306307306306305304304304303304302303303303302305305306304304304304304303304305304305305305305302303303303306304303303300302302302302302302302301301299301301301300301301301301301301301301300300300300301301300299298299301298299298298299298298297297298298298298297297298297298298298297298297296297297296296296295296296295294295295295296296295294292294294294295293293293293292292292294291291292293292293292293293292291292291291291292291290291291293291291291292292290290290291292292292291291291291291291291290290290289289290290290289290289289289289289289287288289289289289289289288287288288288288287288287288288288287287288288287287288288287286287288288288288287286287287287286285286287287287286287286286286285285286286284285285285285285285285285285285285285285285285285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291295295297299299300299300295291290290289290289289289288288287288289289289288288287286290293293292293293293292295294292294298290293290291292291290288290289288289290288288289289288290291291290289291292292291291290290292293291289291292292292289290292290290290290290291290289290290289290291289289290290292292289291291292292294293294294291292288293999999999999999999291289294292999999999999999999297301999999999999298294999999999999999291289292999999999293297300298298298297303299300301302300300298300298298298299300295298297299300301301301304305303302302301302303302302302301301300301302301304303302304303304303303304303302304304305303304304304304304304304304304303305305304304304303303305303304303303302304304302303303303303302303303305305305305304304304304303304304304305303302303304305303302302303305304305305304305306307305306305305307308303306305302304305302304303305305306304307306306304304304304305305305305304303302304302302304304304303303303303303304303303304303304304304305306305306306307306305305303303303303303304301300302303302302302301302302304302303304303304304304304304303303303303302301304303305303303304304305305305304304303303303302303301303303301302303301303303303303303303303303303302302301302301303303303303301301300300303302303302302303302304304305304305305306306306306305306307306306306307306308307307307307306307306306307307306305305305304304305303303303303303305304304305304304304305304303305304304305304304304302304304303305303302303303303304303303303302302302301302302302301302301301301301301301301301301301301299302301300299300301299300300299299298297297299298297298298298297298298297297296298297298297297297296296297297296296296296298297296297296296296294295294295295294292292292293293292291292293291292291292293291292291292292292291290291290290291292290291291291291291291291291291292291292292291291291290291290290292290290289289289290289289289288289289289289289288288288289288288289288287288288288288287288288289289288288288289288288287288288287286287288288288288287287287287287287287286287287287287287287286286286285285285285285285285285285285285285285285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297293293294296300300300300299298294291290290289289289289290289289288288287287287286287286288288291293294295294292294297295297297294289290287290290290290291289289290288288287288291288288289291291290289289290290290291289289292292289290291291293291293292292292290290289289290290289290290290290290291290291292293292291290290291291999999292292289289289291291999999999999291292292295293293295999999999999298299298999999999299297999999999999999999295291999999999296297295299299300303297300299301302300300299297298298297299298296298296299301301301303303302305303303302302302302302301301301300300302302304303304304303302303303305304304303301304303304303303304304303304304304304304305305304304305306306303304304303304304303305304303304304303301303305305305305305305305305304305306304303303304304305304304304303304303305304305306305306307307306306307306307307306307302306306305305305306306305305305306304304306305306305305304304304303303302304303305304303301302302305304304304305304304304303305303305305304305305304305305305303303303302303302302303302302301301301301303303302302303304304304303304304304304304303302303304305302303303303303304305304302303304304301302302303304303302303303303304304303303302303303302302302302303302302301304303301301301301301303302303304303303303303304304304305306306307307306306306306306307306307307308308307307307307307307307307307306306305305305305305303303303303303305305305306305305304305304303305305305305305304303302303303304304304303304304301303303303302302302302302302302302302301303302301302301302301302302301301301301301300302301300300300300299298299298298298296297297298298298297298297298297297297297297295297296296297297296296295296297296296296297296296294295295294294294293292292294292292291293292292292292292292292292291291290291290291291290291291291292292290291291292291292291291292291291292292291290291292290291291291290290290290290290289290290290290289289289289288288289288289288289288288288288288289287289289288288289288289288287287287287287288288288288288287286286286288288286288287287287287287287286286285285285285285286285285285285286286285285285285285285284284285284284284284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293294296299299299301301298295292291291290289289289289290287287288288287287288287287287287289291291293292292290292294296294296291290288289290291292292292290289290289288288288287289291290289289288289290290290289291291290290291291292293292291292294292292292290290289288289289290289291291291291291289290291291291290290290292293293290290292291291289289293292999999293295295293293292294297299999999999295296295999999999999999999999298297296292294291999999999295298301302300300302300300304300299299299298297298297297298298299299301298298299301302302303306304302302303302302302302300301300301302302304303302302301302303303302303305303303303303303302303303304303303304305304305303304304303304307306303304305303304304306304304303304304304304304304305305305305305305305306306305304303303304304303303304304303304304305305305305304306308308306304304307302306307307305305306303305305302305304305305305303305305304306305304305304305305304303303304305304303302301302305304303302304302302304304303302305305304304305303305304305305303302303302302302301301300301303301301302301302301301302303304303304304304304303304304302305304304303303304304304305302304305304304301302303302301303302302303304303303304303304303303302302302303301300301301303301300302301301302303302303304305304304305305304305306306307307307306307306306306307307307308308308307307307306306306309307307307306305305305305305304303303305304305306305306304304304304304303305304304305303304303303303303303303303304303303301303300300302302302302302302302303303303303302302303302301301300302300299301301299299300302300300300299299296298299298298296298297297299298298298297297297297297298297296297297297297297297296295295296297295296296296295295295295294294294293292294293291292292292291291292292291293292291292291293290291291291291291292290291292291292292292292291291292292293292292292290290291291290291291291290290290289289291290290290290290289289289289288288289288289288289288287288288288288288288289288288289289289288287288287287287288286288288288287287287288289288287287287286286287286286286286285285285286285285285285286286286286285285285285285285285284285284284284284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292295299297300300301301297294291290290288288289289289288287286287286286286287286288289288288289291294292292291292296295294295290291290290291292292291291291289288290289288287288285286287287288288290290290290290290292290290290291292292291292292294293292291290290290289288289292291290289289290290291290290291290290289291290291291289290291290292289289294293292297295298296293292290295295296295999999999292295294999999999999999999297297296296296294999295292299299299299299300298299297300297300300299300297298297298298300299300300301300300301303303303303304304304304304304302302302301302301303303303302302302301302304303304303302301301301302302302302302304303306303304304304304305304304306307304303304304305304303305305304303304305305304304304305305305304306306306306306306305306304304305303304303304304304304303304303304303306306307305305305301303304303301303302302303306306303306306305303303304303305306306305304305303303303302303303303302304303304304302304304303303303302303304305304303304304304303304303303304302303304304304302303301301301301302302301302302301301301999301303303303303304305304303302303304303303303302303304304305305303305303304304303302302304301302302301304303302304303303304303302303302301302302303303302301302302302301301301301303303303304303305305305305305307307306307307307307306306306306307307308308308309307307306306307307307306307306306305304304304305305305305304305305306305305305305304304303303304304306302305304304303303303303303304302301300301300299302302302302303302302304304304306303303302302301301301301301303301300300300299301301299299299299298299299298298299298297298297298298298297297297298298296297297297297297296296296296295296297297296295296296296295294292294295295295294293293292292292292291293292292292293291291291292292291290293292291291293291291292292292292292292292292291291291292291292293289291291290292291291291290290290290289292290290290290290289289289289288288288287287288288287287288288288288289289289289289288288287289288288287288286288288287288287287287287289287287287287287286287287287286286286286286286285285286286286286286286285285285285285285285285284285284285285285285 999999302301299296296303298295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291296299298300300301299296294291290289288288289288288289286287287286287287287287290289288290289292290291291292293291293295294293293289293288291292291291290290287290289288288287285286286287287288290289289291290290291291291291291292292292291293294294292290290288289289288290291290288290289290290290290289289292291291290290288291289999999999999999999999292292300297298297293292999999999293295294999999292292293294294298999999999999999297295298297296293294297298299298298302300300298299299298298298298298298297297302301300300301302302302303302302303304304304304305305303303302303301303302303303302302303301303302304303304304303303302301302302302302301302304303305305305304303305306305306304305305307305305305305305302305302304304304305304305305305305306306306306306305306304306305304304303304303303304304304305304305305304308306307307305304304303303304303306306302303305305300302302303303302303305305306304305303303305303303303302302304303304303303304304302303301303303302304306305304304306304303303303304304304304303303303304305303302300302300301302302301301301299999301301303303303305303305305304304303304302303303303303303303303302303304302303303302304300303301302302302302303303303304303302302303302302301302302303303302303302303304302302301304304304304303303304304305305306306306306308307307307306306308307308309308308309308311311311307309307307307307306306305306306305305305305305303303306305306306305304305304303303303303303303305303305304304304303302302302302300303302302302302302302303304303304303304304304303304302301300302303302301302301300300299301301299299299298298298298298298298298298299297297297297297296296297298297296297296296296296295296296296296296298296296296297295293294293294295295294293292291292293291292292292292291292292292292291291291291291291291293291292291291292292291292293292292292291291291291291291290291291292292291291291291290291290291290290289290290289290291289289289288289289287288288287287287287288288288289289289289289290288287287287288287287287288287287288287287288287287287287287287287287287287286285286286286286286286286286285286286286285285285285285285285285285285285285285285286285 297298296298297298297296301295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290297298299299301300298295293292290289288288287287288287285288287287286286287290290289288290291290292290291292291292293295295295292297296294291292293292292290287287287289291289285286286287288288288290289289289290292290291293291292293290293294294293290290290290289288288289290289288289290289288288290289291290290288289290288291290291291999999999999999999999297296296297296293999999999291291291291999999291294297296297999999999999999298297300296298294293297297295299298299301299300300302301300299298299298299299300300300300301302301300303303303303303303302303304304303304303303302302302303301302302303302301302302303302303304303302302302301302303303303304304305305303304304304306306308306306305304303302303303304305304304304303305304305305306305307307307306306305306305304305303302303304304304305304305304304304303305306305307305305306305305304303304305304303303303303302302303303303303304304304305305305303303303304304303302302303303303303303303303304301301304305306303305305303305304304305306304305303303303302303302300304305301300301302301300302302301301299999999301301301301301304304303304303304303304304304304303303303303301302301301302303303302302301303302302299301302302302302303304302301303302303302302302303300301304304302303302303303306303304305304302303303304303304305306306307307306306308307307307308309309309311309307309311308309307307307309307306306306306305306305306305304305306305305304304305304304303303303303305304304305303304305304303302303301304303303302302302302302302302302302304303304304304303302302302301300301302302302303302302300300300299299299297298297298298297299298297298297298297297296296297297298298296295297297297297297296296297296296296296296296296295294294293294294294294293293291293292292291291292290290291292291292292292292292292291291291292292291292291291292292293292292291292292291292291291291291293292292293291292292291291290290290289290290290290290290289289289289288288288288288287287286287288287288288288288289289287288288287287287287287287287287286287287287288288287288288288288287287287286286286286285286286286285285286285286286286285285285285286286285285285285285285285284285285 300295296297295295293295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291295298299300300300297295293292290288288287287287288286286287286288287288287288290290290291292292290292291290291293294296294294292296292294294294293291294292292288286289288286286286285287287288289288287289289290290290291292293291292292293293293293291290289290290288288287287288287289288290288289289290290290289288289289289291292290290999999999999999999999999291293296296293291999289290290291290999999288295295295297300999999999999999297296296298297296296297294300299296295298298300302301301299299297299297299299301300301301301300300302302302304304303302303303305303304303303302303302302302302301302303302302303303303302302302303302302302302303303303304305305306305306304305305305306307305304301303303302303302303304302303304304305305305306306306307307306306305306304304304304302304303305303304302305303303302302302303304304306305307306303306306305305304304302303302303304304304303303304304304304303304304304303304304303302303304304304303303303304304302302303304304305305305304305303304304304303302303303303302302302301303302301301300301302301302302302301300298301301301301303302303306304303305304303303304304304303303303302301301301301302304304302300302301303300300301302303304303302302302304302303302303302303302302301300301302302302304304304305304304305303304304304305305305306306307306305306307307307309308307309311311306307308308310309307307307309306305305304304304304305307305306305304305304305304304304304302305304303305304304304303304304303303301302302303302302302302302302302303303303304305304304304304303303303302302300302302302302303303302301301298299299298298298299299297298298297297298298298296297297297298299297298297296297296297297297296296297295296295296295296295296296295295294293294294293292292293293291290289291291291291292292292292291292292292292292292292292291292291291292292292291291291291292291291290291291291291292292292291291291292292291290290290291290291290290290289289289289287288288288288288288288288288287288288288287288288288289289288288288287287287287287287287287287287288288288288287289288287286286286286286286286286286286286286286286286285285285285285286285285286285285285285285285285285 999296297296294292293295285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290295298299300300300296295293292289289289287287287286286286287287288290290289289290290289290292289292288289290290290293294293293296293293293293294294292291293291290287290288288287286285286286288288288289289289290291291292292291293293293293293292294291291292289289290289289288287288290288288289289289290291289290290291292291292294293291288291999999999999999999296999297295293292291291290290290291293294292292295294296297999999999999999300297299297296296294300302298298296296299299300301301300297298299299299299299300300300300299301302303302302302303302303303303302302302302303302303301302302301301302301302302302302304302301303303302302302303302303302303303306306305306304305305304305305305303304302302303303302304304305304304304305305307307306306306306306306304305305303304303303306304304304304304303302303303304303304303304304305304304304303305305304303302302304303302303303304304304304304304305303304305305304304304305303304305305304303302301302303302302303304304304305305305305305304305305304304302302303304300301300302301299300300301301301302302302300300301301301302301303303304303304303304303303303303303302303302302302302302302303303304302301301302301302301302302303304304304304303302304303303303303303302303303302301301302303303302304304303303305304304305304304305306306306306306306305305306307308308307307309312312307308308308310310307307306306306304304304304305305305307305306305305304304305304305304304302303304303303303303304304304303303303303303303302302303303303303302303303303303302304305304307306303303303302302301301301299303303301302302300298297299298298299300299299298298298298298297297296297299298295297297298298297297297295297297296296294296296296296294295296296295296296294293293295293293292292293293292290291291291292292292292292292293292292291291291291291291292292292292291292291292291292291291291291290291291291291291291292291291292291292291290290291291291291290291291290289289289289288289288288288287288289287288288288287288288288290289288289288288287288287287288287286287287287287287287288288287287287287286286286286287287286286286286286286286285285285285285286285285285285286286286285286286286 999294296297292292292295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292296299301300300296296293292289288288287288287286286287288291291291292291290291291289290290289290290293290290289290293293293294293292292292293292291290291291292289291290289287286286286285287287288290289289290291293293293292293292292292293292292291291291290290288289289288288288289289287290290290289291290292291291292292293294292290290291999999999999999999999999294293292292291291291290291291294294293293295999296297999999999999999999999304292299299295299301299300299299300300300300300299297297298299299299297298301301299299300302302301300301300302302303303302302302303303302303301301301301301301302302302302302302301302302302302302302302302302303303304306302306305304305305305307303304303304302303302302304305303303304305304305305306307306306306306305305304303303304303303304305305305304304304303304304303303304304303304305305305305304305306303303302301301302302302303303305304304305304304304303303304306305304306304304304306304303303303302302301301303302303304305304304304305305305305304305305304302301302302301301302300299299299301301301301301300302301300301301301302302304303303303302302303303302302302302302302302301303302301301301301302302301303300301301302302304303305304304303303302303303303304305303302302303303303303303302302304303302304306305305304305305306306306307306307306305304306307309308307307308310306311308307311311307306306306305305304304304304305306304304305305306304304304304303304304304303303301303304303302304303304304303303303302302301303303303303303303303303303305304304304304307304302303302303302300301301300301301300301301299298299297298297298298299299299298297297298296297296298297297296297296297297298297297296296297296295297296296295295295295295296296295294295294295295294293293292292292292292291291292292293292292292292293293292292292292292291292293292292292293293293292291292291291291291291291291290291290293293292292292292292292291291291290291290291291290290289289288288288288288288288287288288288287288287288287287288288287287286286288288287287287287288286286286287286287287286287287288287287286286286286286286285285286286286286286286286285286286285286286286286286286286286286286287 999295296296293292293295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291297301301299300295294293289289287287287287287287287288289292292291292292290291290291291290289289289292289290289290292292293293292292294292292292293291291288290289289288288287286287285286286287287288289289290292294293293292292292292292293292292291291291292290291292289290289289288290287290290288290289291291291290290291292292293291294293295999999999999999999999295294293292291291291290293295293294293295296296294297294292999999999999295999296295299294298296298301302301298299299300297298296299297298299300298300300301301301301301300301302301301301303302301300300302302302303302301300300300300299301301302303302301301302302301302301302302303303304303304303305303303303303306305305304303304306303302303303303304304303303304305304304304304306306306306305305305303303305304304303304304304304304304303304304304304303303304303304304303303304305303303304302302302304304303303305305304305305304304305303303303304303306306304304305306306303302303303301301303302302302303303305304304305305306306305302304304302302302302303302301300299300298299299300300300299300300301302301302301301303303303303302304302302303301301301302302301302302302304302302301302302301301302300301301302303304305305304306305303302303304303304304302304304303303303303302303303304303305305304304304304304305305305308305306307306307306307309308308309311310311311311311311310307306306305305305303304303304304305305303305305304304304305304304303304303303302304304304305305304305304304303303302302302302304302303303303303303303304304304304307306304302302303302303302301301302300303300300300300299298299300298298298297299300297297298298298296296297298298295298298295296297297297297296296297296297295296296296295296297295296293293294295295294293293293293293293293293292291292293294292292293292293293292293292292292291292293293293293293292292292293292292291292292291290291292290291290291291292292292292292292292291291291290290290290289290289289288288288288288288287287286287287287287288288287287288288288288288287287287287287287287286285286286287286287287287287287286287287287286286286287286287287287287286286286286286286287286285286286286286286286286286287286286 294295294294294293292291295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291297299300299297295294294290288288287286286288287287288290290292291291291292290290290291291292289289290289291289291292292292293291293292291290292292294292290291289286287287288287287286286287287289289289289291292293290293293292293291290291291291291291290292291293291290292289288290289290289289290290289289291294293292291290294292291292293295999999999999999999999295293294292292291290293293294294294295294295296295294292291291290289289293999293295295292293295296296299300297293301302297298300298297298299300300300300300301302301302299301301302302303302302301300300301300301302301301299300299299298300300301302302302302302301301302302302302300302302303303303303303304304304304305306305304303304303303304303303303304303303304304303304303304305305305305307307305304303304304305304304303304304304304303303305304303303303304304303302305305304304303304304304304303304303304304305305304305304303302303305303305304303305305303303305306301301302303305301301302301302302302303304304304305305306305305304305302303301302302302301300299299300300299299298298298299300300301303300300301301301302302302303303302302301301302301301302302302302302303301302301303302301302303302303302303303303304305303305303302303303303304304304304304305303303303304302303303304304304305304304303303304304304303307304306306305306306307309309308310310310310306310312311309308306305305304304305304304305304305305305304305305304304304303303302303303303303303303304305305304304304303304304304300301301302304303303303303301302303303304303305301300301302301302301302300300301298300300300299299301300298299298298298298299299298298299297297297298298297296297297297296296297296296296296295296296296297297296297296295296295295295294294295295295294293293293293292293293293292292293293292292292292293293293292292292293293292292293293293292292293293292292291291292292291290291291291291291291292292291292292293293292292292292291291290290290289290289289288288289288288287288287288287287288288287287289288288289289288289288287287287288287287286286286287286286286286286286285287286286286287286286286287286286286286286286286286287287285285285286286286286286286286287287287 292293294295291289289290293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295291294297298299296295295293290288287286287288289287287289289290290291292289291291291290292289289290291290291291291291291292292292292293291290293292292293291293286288289288288287287287287287287288289289289291292292292291292292293294292290291291291291291291290292291289291290289290290290289290290290292290291291294292292292293293291292293293293999999999999999999999296292293292292291292293294295295295294293295296298296294292293291291999999999294293292291291294294294296297298296298296299299299299297297299300301300300298300302301300300299300301302302303300301300299300300300301301300299299298299299300300300301302302301302301300301302300301299302300302302301303301303303304304304304305304303302303302302303303304304303304303303302302303302304305305305307306305304303302303305304304304303304303303303304304303304303303304302303304305305304304303305305305304303304304304305305305304304304303305305305305304304305305304305303304304305303302303301302301301301301303302303304304305304305304305304303304303303303302302301300300300298299298297297299298298298298300299302298300301300301301302302303303302303302301301301302302302302301302302302302302303302302302302301303303304304304304304303303304303303303303303303303304303303303303303303302303304303303304304303304304303304305304305305306306305305305306308309310305306310309306306306310309309309305303303304302304304304304304303305305304305304303304304303304301303303304303303304304304303305305304303302303303302302302301302302301303303302303302305307303302301302300300301302299298299299299300300300300299299299299301299299298297298298300299299299299298298298298296296298298297296297297297298296296297297297297296297298297296295295296295296295296295295295295294293293293293293293293292292292293293293292293293293293293292294293292293293293293293293293294294292292292291291291290291291291291292291291292291291292293294293292292292292291291290291291290290290288288288288287287288287287288288287288288287287287288289289289288289287287287287288287287287287286287287287287287287286286286286287286286285286287287287287287286287286286286287287285285286286286286286287286287287287287 291292290292291289287288293999293294293999999999290290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299288289292297297297296294294293290289288287287286288289287289289290290290293293291289289288289290291289290291290292291290293292291292293293292290293293291290290291290289290289287286286287287287287288290288290290291291292291292292292294292293292293293290290290290292291292291291289289289289289289292291290290290288289292292292291292289291291291291290999999999999999999294293293292291289292292293294294294292293292293297296296295294292291289999999291288285288290291289289295297297297298298299299299299299299298300300300299299300299299300300301298298301303301301302300299299300301301300300299298298298298300300300301301303302302302301301301300300302302301302302302302301302302302303304304302304305303304304304305304304303303304303302302302303303303305305305305306306304303303302303304305304304304303304304304303304304303303303304304304304303305303305304304304304304305305305305305306305304304304306305305304304305303305305302304304304303303302305301301300303302301303302304304304304304303304305304304303304303303303302301301300300299298299298297299298300298299301299299298299301300301301301302302302302302302302302301304302302302302303302303303302302302303303303303303305304303304304304305304304304304304303303303303304303304304303303303302303304304304303303304303304305304303305303304305305305306304305307309310305310310308307307310305308307307306304304303303302303305305304307306305302305306303305304304304304303304304303303303304303304304304303303303303303302300302301301300302302302303302302306305304303301301301300300300300297299299299299300299299299296299298299298298298298297298299299298298298299297298298298296298297295296296295296297297296297297296297295298296297295295295295295295294295293294294295293293291293293292292293292293292292293293294293293293293293293293293293294294294293293293294294293293292291291291291290290291290291291292292292292292292293295293293293292292291291291291292291290289289288288288286287287287288288288288288288288288288289289288288288288288287288288288287287286286287287287287287287287286286285288287286287286287287286287287287286286286287286287285286285285286286286287289287286287287286 293293290291290289287288291292292290293292290290290290291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297294294294297298297296294293291289288288287287288288287288289291290289290292294294294291291291291290289289290291292291291291293292293293293293293293291288291290292290290289287287287287288288287289290289290290290292288291291291291291292292290292292292291290290292292292293293291291289289289290290290290290290290291290290292292292291290290291291292293999999999999999999292292292291291999291291292293293292294294293294296295297298296999288289286999288287293293294295296296300999296295297298298298298300299299299299299298298300299300300300301300299300302300300300301301299299301301301300299299298297297299299301301301301302302303303302301300301301302301301301302302301301302303302301301303302302303303304305304305304303303303303302302302303302303303305304304304305305303304303302303304303303304304304304304304304304304304304304303303304304305304305305303306305305304305304305305305305305304303304305305304304306304303304304301303304304301302301304303305302302300303302303304303303304304303303305304303302303303303302302302300300300299300299299299298299300300300301300300299301303302301302302302302302302302301301301302303302302304303302302303301303303302302301303303303304304303304304304303304303304306303303304305304305304304304304303303302304304304303304303303302304304304305302302304305306307306303306307308309309310310306308307308307308306305305304303305303305304304304306305307306301305305304304304304304303303304303303302303304304304304303303303303303303302302301300301301301301302302302301301303302301304302300299299298299298297297296298299299299298297298299299298296297297298299300299298298297298298297299298298298299297297296296297297297297297297296296297295295296295294296296296295295295295295294294292292293293292292292292292292292293293293294293293293293293293294293294294294294294294294294293293292292291291291291290290291291292291292292292292292292293293293293293292292291292291291291293289289289288288287286288287288287287288288289288288288289289288288288288288289287288289288287286286287287287287286286287286286287287287288287286287287287287286287287287286287286286286285285285286286286286286287286287286287287 292291290290288287287288290290291292292290290290289290291291290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296295296296296295295292291291289288287287289288288291289289290290290292291291292293291292292290289290290291291290291293293293293292292292292292292291291291291288290289288290289288288287288289291290289289292291288290290291292291291292292292291292291292290291290291292289291290289290288289290290291291289290289290291292290290291289291290290292292292999999999999289292293292291290999292293293293999292295295295295294294999999296295999291290283286286999999999999999999999999999999295298298298299300300299299298299299299299299300299299300300299298302300300299299299299299300299300299299300298298298299300302302302301301302303302302301301301301302302302301301302301301302302301302301303302303302303305305302304303305304304302302303302302302303303305304304304305304303303304304304303304303304304304304305304304305304304304304304304304305305304305305304304304305305306304303304303305304303304304306304305304303304304304304303303303303303302303305303302301301301302302302302304304304304303303304303303302303303302301302302301300300299299299298300299299300299299300301301301302303302302302302302302302302302302301301301302302303303303301302302302302303302302302303303304304304303303302304302303305305304302305303304305305304304304303304304304304304304304304303303304305305305303302303305305306305305307303304307310309310309310305305305305306305305303303302305304303303304305304304305307305306305304303304304303302303303303303304303303304302303304302302302303304302302301301301301300301301302301302301301302301301303299298299299299298296297297298298298298298299298298299298298298297297299298297298297298299297300299297298298297297296296296296297297296297296296296297295296296295295295296295295295294295295294293292292292292291292293292291292292292293293293293293293293294294294294294294294295294293294293293292292292292291291290290290291291291291291293291292292293293293293293293292292291291291291291290290289288288288288288287288287288288288289289289289289289290289288287287287289287289288288288286287288287287287287287286288287287287288288287287288288287287287287287287286287286285284285286285286286285286286287287286286287287 291291289288289288287288289291291291292292291290289289290290288288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292292292295295294295293291291290289289286286287288290290290289293292292291290291292290293292291291291291289291290290292294293294293293292294293290293292291292291290290288287288288288287288288288290288289290291289290289290291291291292292293293292292291291291291292290290289290289291292291290291291291291290292291291290287288289287288289289289291292289289999999999289290291292290999999293293294292999999293294294295295294999999999294294290288286287293999999999999999999999999999999296296299298300300300301300298299299300300300300300299299300299299299299299298300300298299298299299299298299299299298298301301300300301301300301301300301300301302301300301300301301301302302302301302302303302302303302304304305305306304303304303302302302303303303303304304304303303303303303304304304304304303304304305305304305304304304304304305304305305305305305304305306304304303304305303303303302304303302303305305305304301303304304305306304303304305303303304304303303301302303304304303304303304304305303305305305303303303302301302303303302302301300300300299300299300301300300300300303303303303302302302302302302302303302303302301302302303302302302302303302302302301302302303303302304304304302303303303303303305305305304304305304304304304303304304304304305303305303303304304305304304305305303305305305305305304305305307306306309308308309307304306305305304303303303303303303304304302304304305305305305305304304305305304303302303303304304304305303302303302303304301302302300302303302301302301301300300301301301301301301302304304299298298298298296297297298297298298298298298300298299299299298298298297299297296296298298299300300298298298298297296297296297296296298297297296296295295296294297296295296295296295295295295295293292292293292292292293293292293293293293293293293293293293293294294294294294294295295294293294294293292291292291291291291290290291292290291292291292292292293294293294294294294292292292292291291291290288289289289288287287288288288288288289289289289289289289289289287288288288288288288288288288288288287287287287288287288287287288287287288287288287287287287287287286286286285285285285285286285286287285286286286286286287287 291290287287288288287289289290290290289291291290288289289291291289292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291292292297294293293293292290288288286285286289290289291290290292291291290292293291290293293293289290291290291291292293294293293291292293293292291291292292291291290291289287286287288289289290290289290289290292288290290289290290290292292292292292291291291291291292291292291292292291292292291292291292289288291290291291999284288288290290289291290289287286999999287288291293293291290291292295294293293293294294294293294999999999999999295291289288290293296999999999999999999999999999999297300301301301299300299299300301300300299300299299297300298296298298298298299300299299299299299299300298299297297298299300300300301300301300301299300300300300300301300301301301301302301301301301303302303304303303304305305305304303303302303302302302303303303304304304304304302304303304303304302303303303304304304304305305305305304304304303305304306305304305305305304303303303303304303302304302301304301304306304303304304301303304305306304302304304304305304303303304300302304303302304303304304305305305306305305304304303302302304302303302301300300299299299299298300302300300300301302302301301304303302302302302302302302300301302302302302303302301303304302302301302304303303302303302304303302302302303302302304304304304304304304303304304303303304304305304304305304304305303303304304304305305305302306304306305303305307305308309308307308308306305305303305304302302302302303303304307306304304305305304304305304304304304303303303305304303304304303303303303303302302302302302301302301301302302300300300301300300301301301301303300299299298295298298295298298298298299298299298299299298298299297297299299299297297297297298300299300299299298297297296297297297297297296297296295295296296296295295296296295295296294296296295294294293293293292293292292293293293293293293294293294293293293294294294295294295294294295294295294293292293292291291291291291291291291291292292292293292292292292293293293294293292292293292292291291291290289289289289289288288288288288288288289288289288289289289290289286288288288288288288288288288288289288288287287287287287287287286286287287287287287288287287288287286286287285285285285285285285286286286286286286287285287287 292290286287287288289289289290291290290291290290290291292292292290291291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290292293296293291291291290289289287286286290290290290291291291290291290291292293292292292293293292292290291291292293295295294293293291292293293293291292291290291292289287288286288288289290290290290291290291291290290290290290290290291290291291290289289291291290290290292291292293291291292290290290290290290291290289290999999290290288290289290290291287289288289289289291292292291290290292294296294296294293293294294294999999296298999999999289291291290292999999999999999999999999999999999299300301301299300300299300301300300300300300300298299299297298299299300300300300300300299299298299297297297297298299298300301300300301301301300301299300301301301301302301301301302302302302301301301303304303303305305304304303303302302302302303302303304304304304303304304303303303304302303302303304304305305305304305305304304304304304303303303304304304304304304303304303303302303302302302300303300304305303304304303303301302304303304305305304303303304302306304302300303303302303305305304304305305307304306305304304303303301305302301302300301301298299300299300300301300300301302301301302300302303302301303302302301300300300302301303303302303302302303302302301304303303303302303303303303303304305305306304304302303305303303303303304304304304304304304305304304304303303303304304305304304304303304305304305306305305306305306306305305307306304304305304304305304303304302304304304308304304305304304303304304304304304305304303303305303303304304303303302302303303301302303302301302301301301300301300300301301301299301299298303300300300298297299299299298298298298298297298298300296299298297297298298297296297296296298298299299300299297298297297296296296296297296296296296296295296296295295296295294296293294294295295295293294293293293293292292292293293293294294294293294294294294293294294296295294293294295295294294294292293292290290292291291291291290291292292292292292292292292293293294293294293294292292291292292291290290290290289289289289289288288288288289289289288288289289289290288288289289289288288289288287288288288288287288287287287287286287286287287287287288288287287287288287287287287285286286286287286286286286286286286287287286287288 290290286287287288289288289289290290290290291291291291292291292292291999290295293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287291291296296296290289288289288287287286287290289289290292291291291291291291291291292292292292292292291291290290292293295294294295293291294294293293292291290291291291291289288288288288289290291291292291291291292291290291290290290290289291290290290288289289289289289291291293292292291292292291291290290290291290290290288290999999999290289290291287290291290290290292290291291291289290291293293294295295295293293294294293999296297299999999999999290293291292293297999999999999999999999999999299300300300299299299300300300299300299299299298298298298297298299300299301301300299299299299299298297297298298297298299300300301300301300300302300302301302301302301301301302301301301302302300302303302303304303304302302303303303303302302302301303303303304304303304304304303303304304304303303303303305304305305304304304304304305304304304304304303304302303304304303304303302302304304304304304304302302303304304303302303300300303304307302302304304304305303299300304303304302302302304305305303304304305305305304305303304302304307301301301300300300298300299299300300300300300302302301301300301302302301301302302302301301301302303300301301304304303302302301301301302304304304302302303303304304305305305306304305303304303302302302303303303303303304304304304304304304305304303304304304305306305303304305305305306304305308305307306303306304304304302304304304304304304303301306305305305305304304304305304304303304305304303303303304305304305304303303302301302302301301302302302302303300301301300301300300301301301298302301299301300299299299296299298299297298299299299298299300299298298298297298298298297297297295294298299298298298297296297297297296296297297297297298297297296296296296295296297295295295293295294295295293293294293293293292292292292293294295294294295294295294294294294295295295295294294295295296295295294293293292291291291291291291291291290292291292291292292292293293293293293294293292292293293293292290290290290290289289289289289288288288289290289289289288289289289290289288290289288289289288289288288288288288288288288288287287287287287287288288288288288288287288288287287287287286286286287287286286288287287287287287286287287292 289288285285287289289288289290289290289290291291292292292291292292289288291290293290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286289293295291291290288288287286286287287289290290290291291290291292292292291292292291292292292292292292293293292292293294294295295295295297294295293294292291291291291291289290290290291291292292292293292291291291291290289291290291291290291289289288289289289289289287289290292292291291291292290292293289290291292291289289291294294290291290291292291291292292292292290289290292291291290291294293293296295294292293295294294294294296295296999999999290292293294294297297999999999999999999999297300301301302301300300300300299298298298298298298298299297298299299299299300299299299299299298298298297297298298297298297300301300300300300300300300301300301302302300300300301301301301302301301301302303302303303302302302303302303302302302302302302303303304303303303304304304304304304304304305305304304305304304303304304304303303305304304305303304304304304304304304303303302303302303304303302302303304302304303302303305302303302305304304304303304305304304303300304305302303299303304303304303304303303303304303304303302304301300299300300299298300300300298298301299299301301301300301301301300301300301301302302301299300302304302302301302304303302301303302302303302304304303302302303302303304304304304303303303303302302302302302303303303303304304304304304304304303304304303304305305304305304305303303305304304305305307305303303303306305304304303303305303303303303304304305304303304305305304303305305304304304304304303304303303304304304304302303304303301303302302301301302302301301300300300300301300300301301300303302302301301300299299296299298298298299299299300299298299298298296297297298299298297296298295296296299297297297296296297297297296296297297297297298298297297297296295295295296295295295294294293294294293293293293293293292292292293294294294294295295295294295295295295296296296296295295295296296295294293294293293292292292291292292292292291293292292293292293293293294294293293293293292292293292292291291290290290289290290289289289289290289290290290290289289289289289289290290289291289289288288289288288288288288288289288288288287289288288288288288288288288287287287288288287287287286286288286286287286287287286286287287287286288290 285287286287287288288288289289289289290290291293292292293293293293291288286288296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282285284289293290289289287286287287288288289291290290291290292291290292292292292293291291292292293293293294292293292292293293294295294295296296294294293293292291291291290290291293292293293293293293292293292291290290290291292290290291290290290289289289288290290290288288288291289291290291291290288289289290291292293291291291999291291290291291292291293294293293293293291290291292293290999291292293295297294294292295296294291294293294295295295293999291292295294296296297298999999999999999999300300300300301300300300300299299299298297298298297298298297298298298299300300299299298298298298298299297298298297297297298300300300300300300299300300299300301301301299300300300302301301301301301302302301302301302301302301301302302302302302302302303304304303302303303304304304304303304303305304305304305305306306305305304304304303305305305304305304305304304303304304303304303302303304304303302302302303301303303302302304303303302301302304305303305307307306307303309302302302301302304305303304304303305304303304303303300304303299301300300300299301301299300298298299298300301301301300300301300298300302301301299299301303299304303302303303302302303301301302302301301303303303302304303303304307304303303303302302303302301302302302303303303303303304304304305305304305304305304304305305304304305306306304305305306305305306304305305304304306304303304304300303304303303304304305305305305305305304302303303304304304304304302304304305304303304303302302303303302302303301302301302301303301300303302304301301301302301300302301299302300301300299299300299298298298299300302299299300297299297296296299300299298297297297297297298298297297297297297297297297296298298297297298298297297296296297296295296297295295294294292294293293294293294293293293293294294294294294295295295294296296296296296296296296296295295295295295295295293293293293292292292292291293292292292293293293293292293293293294293293293293293292291292292292292291291290291291290290289289290290290290290289291290289289289289290289291290289290289289288288289288288288288289289288288288288288288289288287289288289288288288288288288288288288288288286287288287288287287288287287286287287286288289 285286285286287288287287288288288290291289289292286293291291291291290286282285287291296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283285288286287287286287287287288289290290290291291293292292291292292291292293292293292293292292292292292293292292292293294296294295295295296295293292291291292291291291293294293293293292294293294293291291291291290291291290291289290291290289288289291290292288288287289291290291289290291291288288289289291291292292291289999294294290291290293293293294294294294293292291291291292291293999999999297297295296294295294294294296295294294294293292293292292295296296296297299297297999999999999300300299299300301300300300298297298298298297298297298298297298298299299299300300298299298298298298299297298299298299298299300300300300300300300301299299300300300301300300300301301301301301300301302302302301301302302302302301302302302302302301302303303304304303304303304303304304303304304305304305305305305305304305305305304304304305305306305306305305304304304303302302304304303302303303303303300301302302304303302303303302305301303306305304302304304306305307307308302304302303303303303304306305305303303304303302303302303301301303300301300301301301301301299298299301301301300300300301301302301300301301300300301302303302302303303303302303302303302301303303302302302303303304303304304303303303302302302302302301302302302303302303303304304304303305305305304305305305305305305305305306304307307306305304305305305306306305306305304304304303303304304303305304305305304304305304304306305304305303303304304305305305304304304304305304304301303302301303302302303303301301304301300301302302302300300301300300300300300302301301300300297300300299299299298299298299300300300300300300298296298298299298299300297299297297298297296297297296297297297297296297298298297298297298298297297296297296296296296295295294294294293293293293294293293294294294294294295295295295294296296296296297296296296296296296295296295295296295295294293293293293293293293292292293292292293292294293293293293294295293294293293292293293295292292291290291290291291291291290290290290290290290290289290290289290290290290290291290288288289289288290288288289289289289289288289288288289289289288288288288288288288288288288288288288287288287286286287286287287288287286288288287286285288 285283287287288288287289288288290291290289289291291291291289291292290284284999287289295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278279282282287288287287286286287288289290291290291291292292292292292292293293292293293293292292294293292292293293292292293294295295296295294295294294292292292292291291290293293292292288293294291292293292292291290291291291290285290291290290289289290290290291291290288289291289292291290290288288288289291291292292292292291294295293291292292293292297296294294294292291290292293293292294293999999999299298299297297296296297296295297295294294293294295295297296999297298299298298999999999999302298299300300300300300301299298298298298298298298298298298298299299300299300301298299298297296297298299299298298300298298300300301301300302301301300300301301300300300301300301301300301300300301301301301301301302302302302302302302301302302302302303304304304304305304304303304304302303304304303304304306305305305305305305305305304305305305305305306305304304304303303301302302303302302301300300300302302302304303303302303304305304304306307308306305307305305304305306304303303303302302303301305304304302303302302302302303303302303303301302302301301299301301301301302301301301301300300300299299302302301301301301301302303303301303302304303302300305304302303303302302302303304305302302303303302303302302302303302301301301302303303303302304304304305305306305305305305305306306307306306306307308304307305304304305305307307305306307305303304304305304305303304304305303305306305305304305304305305304303304305305304305304304304305305304303303303302302305304302301301302301300302301301303302302298300300301301300299300303302302301302297301300299300300300300297297300300300300298299300299299297299299300299297298298299297297297297296297297297297297297298298298297297298298298297297296297296296296296295295296296295293293293293294294294294294294295294295295295295295296297296296296296296296296296297296296296295296295295294294294295294294294293293293293293292293292293292293294294294294292293293292292293293291292293291291291291291291291290290291291290290290291290290290290290291291291290290289289290290288288289288288289289289289290290289289289289289288289288288287289289289289289288288288289288287288288287286288287287286286287287288286287287286289 289288288289289288288289288288289289291290289289291291291289288290286287291286286286292294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281276275276278279284285285286286287290290290290292291291291291292291291292292292293294293291291291294295293293291293293292292293294295296296295295294292294293293294291291291291293291291291288294294293292293292293292292291291290291291290290291289288288289289290291291289289289291289290290290289288288289289291288291292291290289293295290293294293294293295295295296295294293293293292293293293294999999999999295299999299299298297295296296296294296296296295295297297999999298300298999999999999999300300300301301300300300300299299299298299299299299298298298299299300299298300300298298299298298296296297298298298298298297299301301301300301301301300300301301300300299300299300300301301302300301301302300302301302303302302302302302302302302303303304304304304304305304304304305304304303304304305304305305305305305305305305306305305305305306304305305305304304304304304303303303302302301301301300302302303303302303304303303305305306306303307307305303303306306304305306306301303302301301301302303302302304302301302302305304301303303303300302301300299299301301300302302301300302301301301302300302302302302301303302302302303303302302302303303302301301303303302303302302303303305303303302303302302303302302302302302301301303303302303302303304305305305306306306305305305306306307306307307307307307308305304305304305306307307305307308306305303304304305304303303305305305305304306305304305305306305306304305306305305305304305306305304303303302303303304303304304305305302300300302305302302303302302301299300302300300301300303302303301297301300301301301301303300298302300299299300299297299299298297299299297297298297299298297297297297296295297296297297298298299298297297298298298297297297295295294296295296295295297295294294294294294294294294295295295294295294295296297297296296296296296296297297297296296296296296295295294295295294294294295293293293294292294293293293293293293292293294293293292292292293293292292292292292291291291292291291290291291291290290290290291290290290291291291290290289289289289289289289288287290290290290289290289289288289288289289289289288289289289289289288287288288288288288287286288287287287287286286287287287286286287290 289288287288290289290289289290290290289291290289289290292291290291286287291288287294286292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276276276278278280281284285286288290290291292291292292292291291291292291291292293293292293292293290294294293292291293294293294294295295295296296296295295294293292292291292291292293291291291291290292294294294292292290291292291291291290290291291290289288288290289288289287290284289290290292287289290291288288290292294288294292286292294295296292292292294294294296296294294294294295295294295294293999999999999999999999999999999295295295295296295296297296296296299999999298299299298999999999999999999299301301300300300300300300299299300300300300300299297298299300300299299300299299299299299298298297297297298297298298299299300300300300300300300301300300300301300300300300301301301302301301301301301301301302301302302302302302302302302303304304304304304305304305303304304304304304304304305305305304304304306306305305306306306305305305306305304305305304305303303304302302302303303302301302302303303305304304304302303304304304306308308306310304306307306306306306304303303303300301301300302302301301302304303302302305302302301302302301302301301303302302302301302302302301302302302301301300303303303303302302301301302302301301302301303301304301303303303301302302303303301303302303303302303302302302303302302302302302303304303303304304304305306306305305306305306305305306307306307306307307306307305305306305306306309307304306308308303304304304304305305303305306305306305306305305305305305306306304305304306303305305305305304303302302303304302303305305306302303304302304304304301302302302301300301302300301301303301302302303298298302301302302302303299300303301303300300299296301301297299298299295297297297300298299297297297297297297297297298299299298299298298297298297297298297297295296295297296296295295295294294294295294295294294295295295295296295294295296297297297296296296296296296297296296296296296295295295295295295295294294294293293294293294293292294293293293293293293294293293293292292293292292292291292292292292291292291291291291290290290290291290290292292291291292291290290290289289289289289289289290290289289289289289290290289289289289289289289289289289289289289288288288287288288287287286286286286287287285285285286286286285285290 289288288289290290290290290291291290290290290290289289290292290290288288288289288290295293289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274276275277279282283284285287289291290290290290291291291291291290292291292292292291291290290291292291292293293293293293294294293293293295293296293295295295293293292291293292293292291291292290290292292294294291290291291291290290292289293291292290289288289288289288289290292290289288290293289290290289290290291294299293290290292291295295295294293294293293295297295296296297296297297296295293294999999999999999999999999999999293294295296296296297298297296298299999999298298298999999999999999999999999300301301300300298299299300299300301299300298298301300299300299298299298299299299299299298298298298297296297297298298300299300300300300301300301301300300300300300301301301301301301302301301302301301301301302302302302301301302302303302304303302304304304304304304303303303303303304304304304305304304304305304305305305305305304304304305305304304303303302301303303302302302302302303302303302303304304303301302302302303303304306307307308306306307306305305303306300301302300303301302302302302300300300303301300302303302302302302303301301302303304299301303301303302302302300301301300300300300302303302302302302302302301301300301302302301302303304302301301302303303302302301302301301301303304303302302302302303302302303304304303303304304304305305305305307306306306306305307306307308307307307306306306306306306306305306302305304304304305303304304304305305306306305305304305305305305306306306304305305306305305306305305305304303303303303302302304304303304303305305303304304301301302302302302302302300299301301302301304303300301298302302302303301299303304303301302301299297299301302299300300298299298298298298298296296296297295298298297298298300298298299299298298299298296296296296296295294296295295296295295296296295295295295295295295295295295296295295296297297296296296296295297296296297296296297296296296296296295295295295294293293293293293294294293293293293292293292292292293292293292292292291292292292291292292291291291292290291290291290290290289290290291291291291291291290289289289289289289289290289290290290290290290290291289290289290289289289289289289289290290289289289288288288288288287287287287288288287286286286287286287286286287290 288287288289289289291291290291292290290290290288289288289290288289289287288288290289292292294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278279277275277276277280282283285286288289290289289290290291290291291291291291292292292291292292292291292293290291292291290294295294293293293293293295296293294295293293292292291291290293291290290290291292292291292292291291290291291290291291290291290289290291289289287291290291289293288291294290291291288290290292294291292999294291293293291293293292291293295295296296296298296296297297297297296293290999999999999999999999999999999999295294296295297298297297297298300301302999999999999999999303303999999999999297298298300300300300299299299300299299300301299300299300297298299299299299299299300299299299296296298297298298297298299300300300301301300301301300299300299300300300300300300300301301302301301302302302302302302301301301301301302303301302302302302304305305304303303303303304302304303303304304304304305305304304306305305304303304304304305304304303303302303303303303302303302303303304305304303304304304300302302302303303302304303307308305306305305305305305304304302302302302302302302302301299301301301301301302302302301302303301302303303303304303304304305302302302303302301301302302302301303302304303302303301302301302302303301302302303304302303302302303302303301303302301302301301303303303302302302302302303304304303304303304303304305305305306306306306305306306307308307306306306307306306305306306306304306304306303305304305304305304303304304305305305306305305306305305305306305306305304305305306305305306306305304304303305303303305302304301303303301304305301305303301300300300299300301299298301301301302302303302300301300299300300300299300301303302302301301298301300300299299300299299299297297297298298297296296296296298296297296298298297297299298297297297296295296295296295295295296295294294295294295295295295295295295294294294295295296296296297297296296295296295296297297296296296297296296297296296296295295295295295294293293293294294294294294293293293292292293293293292292292291292292291293292291292292291291291291291292291290290291290290290291291291291291291291290290288289289288288289289290290290290290290290290290290289290289290289289289289289290290290289289289289288287288288288287287287287288286286286287286287288286286286289 288287289289288290292290290291291290289291289290290290289287288291290288287291290289292293293999999999999289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283282278278277276277277281282282284286289289290290291290288290291291291291291291290291292292292293291292291292293293293294292293294294292295292293293294293295295293294293291291292291291290292291290291290292292292292292292291290290291291291291290290291291290289289288287290288290289289289291291292291290291290290292293292293291999291290290291292292291292291294295294296296297295294296296295295294293292293999999999999999999999999999999293293294294296297300298298298300302302301999999999999999999301301999999999999302298299300300300300299299297297297296297297297297297298297296298298298298298298297298299296295296296297296296296297297299299299301299300300300299299299299300298299300300300301300301301301301301301301302302301301300300301301302302302301302302303302303304304304302303303303302302302302302303303304304304304305306306306304303304303306305305303303303303303303303303303302301302304304305304304304303302301301302301302302303302303305308305306306304305304302300301301301300303302302302302301301300301303301302301302300300301301301304304301304303301302303304303302303303302301300300302300301302302303302301302302302303302302300301302301303304303302302304303302301302303302302303302301302303304302303304303303304304305303304304304304304306306305304306306306305305306307305306306305306307305307305304305305304306305303304305304303304304303304303304304304306305304305305305304306305304305304305304305305303304304303303303303303302302302303302304301302302302301300303302300303301301301301301300300300300301299299302301302302301301302301302301301300300301303302301302301301302301301298300300298299299297299299298298297296297298298297298298298298298298298297297297296296296296296296295295296295295295295295296295296296295296296296295295296296296296297297296296296296296296296296297296296296297297296297296296296295296294295295295295295293293294294294293294293293292293293293293292292292292291291292292292292292291292291291291291291292292291292290291290290290290291290291291291290290290289289290289289290290289289290290290290290290289289290289289289290290290290289289289288288290289289287288288288288288288287287286287287287286286287286286287288 288289291290289290289290290290291291289290290290290290289289288290285290289289290287290295285999999999294297289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274276282281280280280280282284284285287289290290290291292291291291291291291291291291291292291292292292293292293293292293293293294291294293292292292293292294295293294293294293290291292291290289292291291290292293294294292292291292290292291291293293291291292291293292290292292291291291291289289291291292290291291290291293293294292293999292294291292292293292292292292294295296295296298297295295295294295294294292296999999999999999999999999295295295294295296297297298298999301301301301999999999999999999300300301300300300301299299299300299298299298297296296297297296296296297297298298297298298299298298298298297297296295296297296296297298299299299299299299300299298299299298298298299299300301300301301301300301300300301301302301301300300300301301302302302302302303302302302303302303303304303302302302302302302303303302303303304304305304304305304304303303303305304302302303303304304303303303302303304304304302303303304304301301301302302302302300303304307303304301301302303299299299302303302303302302301302302302301300300300300302300299299300300302299299300302301301302303303301301302303301300301302302301301301301302302302302303302303302302300302302302304304303303303304302302303303303302302303302302302304304304304303304304304304304303303303304304304305305304305306306306306305306305306305305307305305304306304304305305304304305304305304304304303303303303303304303303305305304304304306306305305305305304305305304304304305304304303303304304303303303303303302301301301302302304304303301302302302302302302302302301302301301301301303303302302303303303300302303302301301303303301302300301300302299301301300297299300300299299298297297297298298298297299299298298299299297298297297296296296296296296296296294295296296296296296296296297297297296296296295296296297297297298296297297296296296297297297297296296297296296296296296296296296296296295295295294293294294294294294294294293293293293293294294293292292292292292291292293292292291292291291291291292292291291291291291291290290291291291290290291290290290290290290290289290290289289290289290290290289290290290290289289289290290290289289289288290289289288289287288288289287288287286287287287286286287286286287288 289288290290289288290290295290292291289291293291289288290289291290289292291290289291287286290999999999294294289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272278282283284284285284284285286286286288289290291291292292291291292292291291291290290291292294293293293292292293293293293293293294294293294292291291293293293292294292293294294292293292291290289293292291292293294294294293292291291291292291292293294293289289291292291291292295293291291290289288291292290291292290291291290292294290999999295295292293293293292292293292294297295296297296297294295295295294293294294999999999999999999999299297296296999999296297296298298298999299302302302999298298999999999300300300300299299298298299299300300300299298298297297296296296296296297298297298298298297298298298297297296296295296296296296296297298298298299299299299299299299299299299299300299300301301300300301300300300299301302301302302300301300300302303302301301302302301302302302302302303303303303302302303302303303303303303304304304305305306305304304304304305304304304304303303304304304303304304302303304304304302303304304303301303302301302301302302301303300302302302299300302300300302303303301302302302302303301300299299299298301301300299299297299304301301301303302303303303303301302303302300301302301301303302302302302301303303302303303303302303303302303303303304302303302303303302304303302303302302302303304304304303304304304304304305304304305305304304305305306305306305306306306306306306307305306305305305306305305305305304304305304304305304303303304304304304304303304304305304304305305306305305305305305304305306306305303303304304303304304304304302302303302301300301302303303303302301303302302302303303302302303302302301302302305303302302304303302302302303302302302302300303301300302303300301300299301300300300298299298298297299297298298297297298298298298299299298298297297297297296296297297297296296296296296297296296297297297297297296296296296296297297297298298297297297297296296297297296296295296295295295296297297297296296296295295295294294294293293294294294294294293293294293294293293293293292293292292292292293292292292292291291291291291292292292291292292291291291291291290290291290290290290290290290289290290290289289290289289290290289289289290289289289289289288289289288289289287289288288289289288287287287286287286286286286286286287286286286289 288289289290290291291293294290293293292292292292291291289289288291291290290290290290288288285290293283297289289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270271273276281283285286285286286285286287288288289290291291292291292291291292292292291290290290291292293292291293292292293293292293293294294294294294293293294294292294294294293293293293290291292291290294290290291295294294292292292292291292291293293292293293292288285287292289290290294291289292290288287290294293292291290291292293291291295304999297296294291293291293293294293295297295296295297296294295294293289292296295999999999999999999999298296296999999999999999297298298299999302303303302300300300999999999300300300300299298298297297297300300301299299299298298296296297297296296297296297297296297297299297297297297297297295295296295296297297297297298299298298298298298298299299299300300299300302300300301301301301300301301302302302301301301302302302302301301301302301302302301302302303303302302302302303303303303304304302303304303303304305305304304303303304303303304303303303304303304304304305303304303303302303302303303302302302302302302302301302301300301299301304301299300303300303300303303303302301301303299301299298297301301301299298299298297300301302301301302301302303303302303303302302303303303303303303301301301301302303303302303302304304302303303303303304304304303306303304303303302303304302303305304304304304304305305303304305304305304305305304306305306305306306306307306305306306306307306308306306306305305305305305305305304304305305304303304304304305304304305305306306305305306306306306306305305305305305305304303305304304304304304304304303302303302303303302302302304303304304302302302303303302302302303303303303302302305303303303304302302303303303301302302301302301301301302302302299299302301301300300299299299298298299299299298298299299299298298299298299298298297297297297297297297296297297297297296297297297297298298297297297297297296296297297297297297297297296297298296296296297296296296296296296296297297296296296296294294296294294293293293294294293294293292292293293292293293293292292292292292291292292292291292291291292292292292292292291291291291291291292292289290291290290290290290289290290289290289289290290290288288290290289289289289289289289289289288289289289288288288287288288288289288287287287286286287286286286287287287287288287290 290289287292293291293292292293293291293292295293289289290288289290291291287288288289286288291291296296297289290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275278279281283285286286286286286287287287289289290291291291291292292291291292292291291291290290291290290291291293292292293293293293292294295292293293293292293294294295293292292292293291288290292291292294291292294292292291291292291292291292291292291291290291290290291287291290288290293291290289290291291291292291291292290290292292293294292999999999297294294293292295292292295295296295295295295295294294294295294294294999999999999999999999297294296297999999999999999297297297999999302303302300301301302301999999300300299300299299299299298300300300299299299299297298297296297297297296297297295295297296297297297297297298297296296296295297297298297296298297298298297299299298297298298299300301300300301302301301301301302301301302302302301301301302302301302304303301302302303301302302302302303302302302302301302302302303303302302303304303303303303304303303302302302304303303303302303303303304303305304304305304303303303303303303303303303301299301303300300300301302302301303302304303302302302302302301301301301301302299299300298298299301300302299298301302300302303302303304303303303305304305305304302303305302303303302301303302302303303302302302303304303304305304305305304305306305305304304305304304303304304305304304304304304305305305304305305305305305306306305305306306306305306306307306306305305306307308307307306306304305305304305306306304305304305304304304304305305305305305305306306305305306306306306306306305306306306304305305303304304304304304305305304303304303304303303302303303304304304303303303303303303302303303303304303304303303305303303303302303303304304302301301300300301301299302301303300301302302301301299299299299300298298299298298299299299298298298299298298298298297297297297297297297297297297297297298297297297298297297296296296297297296297297297297296296297297296297297296297296296296296296295295295295296296297296295295295295295294294294294294294294293293293292292293293293293292293292292291291291291292291292291291291291292292291291292292292292292291291291292291291292291289290290290290289289289290289289289289290289289290291289290290289289289289289289289289289289288289288288288288288288289289289288287287287287288287288286287287287287287289 287289288292292292293291292292289294293294291290290287289289290287289288288289288289287288290291288295297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279279280282282283284285287288287287287288288289290290290292292292292292292290292292292292291290291291291290290290291292291291293293293295292295296294293292292292294294294294292291291292292290286292292294293295294292292291292292292291291291291292291291290291290290290292289289291292289290292292291291288288290287290295291292290290291292293298293999999999297294292293293294293293294294295295295295294292293294294293293294293294999999293292295999999294296999999999999999999295296295999999301300300299301298301299999999999299299298298298297298298298299299300298298298297297297297296296296296296296297296297296297297297296296296297296296296296296297297297297296297297297297298298299298298299299300300300301300302300301300301301301301302302301301302302302301303302303303302303302301302302302303302303302303303302302302302302302303302302302302302303302303302302302302301301302303302301302302302303304303304303304303305304303303303303304303303302301301301302302300298301300301301302301301302302301301301300300300300298302301300298299298298297299299302300302300302301301303304302303302303304305306303303304303303303302302302301303301302303303301302301301303303304305304304305304304305305305305303305304303304304304304305305304304304304304304305304305305305305305306306306305306306306305306307307307307306307307306306306306305305304304305304305305304304304303304303303304304304305305305305305306305306306306305305306305305305304304305304304304303305304303304303304304303304303303303304302303303303304303303303304304303303302302302303303303304304305304303302302301301303304303303302301301301301301299300300301301300301301301301300299300299299300299298299299299299299299299298299299298298297298297296297297297298298297297297297297298298298298298298296297296297297297297297297297297296297297297297297297296296297296296295295294295295296295296296296294296295295295295295294294295295294294293293292292293293293293293294292293292291292291291291291291291291292292291292292292292292293292292292292293292292292292292291291291291290290290291290290290289291291291291292290291289289290290289290289290289289289289288288289288288288288289289289288288287288286287286287287286287287287287289 292290290291293295293294289290291294292291292291292289292289291289288289288288288288288287286289284286289290999999293289999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999999999999999999999282283282282283284284286287287289289288288287287288289290291291292292292293294292291291291292291292291292291290290290291291291292291292293294295295296295293293293292292292295295294293291292292291288291292294293293294292291292291291292292292291291292292293293292291291290289290291291292290291291294289292291289291291289290291292293292291292293293294294999999999999298999999295294294295293294295296296295293292291291294293295295295295999294294294293999999294295999999999999999999295295999999999301300300298300299299301999999999999298297294296298298299298299298299298298296297295297297295295295296297297297297297297296296296296295295296296295296296296296297295295296297297297297298298298298298298298299300300300299300299300300300301301301302302301301301302302302301302301302302302302302302302303303302302302303302302302302302301301302302301301301301301302302301301302302301302302302301301302302302303303302303303302304303303304304302303303302302303302302303300301302300301300302300301300302302302300300300300301300299301300298300300301300298299300300300302301301302300301302303303304303304304305305303303303302303301303303303303303302301303302302301302301302302304304303303304304305305304303304302304303303304304304304304304304304304305305305304305306305305305305306305306305306306306305305306307307306306306307307306306305305305304304303303304303303303303303303303303303304303304304304305304305305305305305305305305305304305304303304304304305303303303303303303304304302304304304303303303304304304305303304304304303303303302302303303304304304304305305304303303302303303304303303302301300301304301299301300300301301301301302302301300301301300300300300299300300300300300299299299299299299298298298297297297298298297298298298298299299298300299298297297297297297297297297298298298297297297297297297297297297297296296296296295297295296296296296296296296296296295295295295295294294294294294294294293293293293294294294293293292291291292292291291291291292292292291292292292293293293293293293293292292292292292292292292291290290290290290291291290291291291291291291291291291290289290289289289289289289288288289288288288287288288288288289288288288287287287287287287287287287288287287289 292291290292295295293291291291290290290292292292292291288288290290291292289288286287288289287288286283285287288292291289286287288288999999999999999999999999999999999999999999999999999999999999999999999999999289293999999286286285284284285285285285286287288287289289289288288289289290290291290292292293292293292291291292292292291291291290290290290291291291293293293293292294295296295293293292293294294294295294293292293292292293295293293293293293291291291290291291292292292292292291291292292289290290289291291290291289291289291294291292291292291291293292291290294293294294288296999999999999294295294296295296296296295295296296295294292292290293294294291295295999296296295295295999295295999999999999999999295296295999999999301300300300301299300999999999999999298297293289296297298298299299298298298297296297296296295296296296296296297297297296296297297297295295295296296296297296296296296295296297297298298298298299298298299299299299300301300300300301300300301302302302302302301302302303302301302302301301301302302303302303302301301302301302302303303302301301302301301301300300302301301301302302301301302302301302302302303303303302302302303302304304303303302302303303303302303302302303302303302302302302303302302303303303300301301299301301300301300300300301300301300300299300300302301301303302303303303303304303304304303305304304304304303302301303303304304303302302302302303301302302304302304303304304305304305304303303304304304303304304304304304304304304305304305304305304305305305306305305305305306306306306306306307308308307307306306307307306306305305304304303304304304303303303303304304304304304304304304305304304305305305306306306306305305305305304305305305304304304304304303303304304305304304304304303303303305305305305303303305304305304303303302303303303304304305303304305304304304303303304304304303303302302302301300300300300301300300302302302301302303302303301301301300301301301301300300300299299299299298298298298298298298298299299299299299298299299299299298298298298298298297297297297298298297297297297297297296297297296297296296295295296295296296296296295296296296296296296295295296295294294293294294293293293293293293293293293293293292292291291291290292291291292292291291291292292292293293293293293292293292291292292291292292292291291291291290290289290291291291291291291292291291290290291290290289290288289288288289287289288288288287287288287288288288287287288287287287287287287288287287288 293291293293292292290290289290292290291293293294290287290293288290289293286290286289287287289289284285286288287286288999999284284285288999999999999999999999999999999999999999999999999999999999999999999999292290289284285285285285286286286287287288288288288288289289289289290290290290291290292293292292291291293292291291293292292292291290290290290291292292292292293293293293294295295295292294291294294294294293293292293293292294294292291291292292290290290290292291291292291291292291291290291290290290290291291289289290289292291295297294292291290291292292294293294292294293999999999999299298295294294296296298296295296296296296295295294293291293296295296295295293295294294296296295294296298999999999999294294295999999999999300300299301300299299297999999999999297297293291295297298300299297298297299298297297297297297297296297296296296296297297296298297297295295295295296296297297296296296295295295297298298298298298299298298299298300300300300300301300300300301302302302302301302302303303302301302301302301301302303303303303303303303303303302303303302301302301301301301301301301302302302302302302301302301302302302303303303302302303302302303303304303304302302302303303302303303302302305303302303302302303301303302302302301300300301301302301302301302302301301302301301302302301302302302303303304303303304304304304304304303304304303303303302302302303303303304303302302302303303302302304304304305304304305305303305305304304304304304304304304304303305304305304305305306306306306305306306306306305306305306306306306306306307309308307307307307307307306307306305304305304305305304304303304304303304304304305305305305304304304305305305306306306305305305305305305306305304304304304304303304304305304304305304304304303304304303305305305305305304304304304304302302303304303303304304305305305304304303303303304304304304303301301302300302299299300299299300302303303302302302300302301302301301301301301301301300299299299299299298297298298298298298299299298298298299299298299299298299298298298297297297297298298297299297297297297297297297297297297298298297295297296295296296296295295295296296296296296296296295295295295294294294294294293293294294294293293293292292292291291291291291291292292292292292292292292293293293293293293293293293292292292292292292292291291291291291290291291291291290291291291291291291290291291290290290290288289288288288288288288288288288288288288288288288288288287287288288288288287288287288289 294291292293293291291296294291293292291289291292288286292290293295290290293292289289288287289287286288291287287290287999999284283285287289999999999999999999999999999999999999999999999999999999999999999296293289287286286287286287286286286287287288288288288289289289289290290291291291290292291293291291292291292292292290292291291291290290290291290291291292293292293293293294294295295295295291292294293293294294293293294292292293293292291291291291290290289290290292292291292292292291290290291292291291290291291293290291289291291291290292290291292292292291291294296292296299999999999296298297296295295296296298298299297296296294294294293295290294296295298297295294294295294296294295296296298999999999999294295294999999300300301301304305301299300297999999296296295297294999296296299297297297299297299297297297296298296295296296296296296297297296296297297295295295295295295296296297297296297296297296297298298297297298299299298299299299299299300299300300300300301301301301301301301302302302302302301301300301301302303303302303303302302303303302303303302302302302301301301301301301302302303302302301302302301302301302302303302302301302301301303303304304304303303302303301300303304303304302302303303302303303303304303302300302302302301301301303302301302302302301300301302302301301302302302302303303303303305305304304304305305304304304302302302303302303303303303302301302302302303302302303304304304304304304304304305306305304304304304303305304304304304304304304303304305305305305306305306306306306306306306306306307306305305308307307307306307306306306305305305305306304304304304304304304304304304304305304305304305305305304305305305305305305305306306305305305305305304305304303304304304304304304305304304304304303305304305305303306306304304303304304303302303303303305304305304305304305305304304303304305304304303303300301301302302299301302299299303303302302301302302301301301302302301302301301301301300300300300300299299299298298298299299299299299300299299299299299299299299300298298297298298298298297297298298297297297296297297297296298297296296296297296295295295296296296296296295296296296296296295295295296295295295294293293293294293292292293292292292291291291291291292291292292292291292292292292292293293292293293293293294293292292292292292291291292291292291291291292291290290291291291291291291290289291290290290290289288289288289288287289288288288288289289287288288288288288288288288288287287287287288289 294295295294294295298296296295291291291290290291292291291292293290292287295293293290292290290291291292289291287287286286284287286287285283282285999999999999999999999999999999999999999999999999999999999999291290291288288288288287287287287288288287288287289290289290290289289291291292292292292293292293293292292292290291291290291290291290290290291291291292291290293294293293294294295294294294294294294294295295295293293292292292292290290291290292290289289289290291291290292292291291292289290290292290288290290291291292289289290289290291291291292291290291291293295290999999999999292297295296296297296297297299296297296298297295295296295293288296297297298297297295296296297294295296297297299999999999999294297999999300299300301301999303298302299297999999293296295297297999296297298297298298298298298298297298296296294297296296296296296296295296295296296297294295295294295295296298297297297297296297297297297297297297298297298298298299299299300300300299300300300300302302301301301302302301302302301301302301301302303302302302303303303303303303303303302302302302302301301301302302302302302302301302302302302302302301302302302302301303302302302303302303304303303303302302301303304303304303303303303303302302303302302302303302301302302300299301302302303302302302301301301302302301302302301303302303303304304305305305304304305304303302303302302302304303302303303303302302303303302301302304304304305304304304304305305304305305305305305304304303304304304304304304304304305305306306305305306306306306306305307306307306306306306308309308307307307306306306306306306305305305305304304304305305305304304305304305304304304305305305305305304305306306306305305305305306305304305304303304304304305304304304304305304305304304304304305304303306307305304303305305304303303303304305305305304304304305304304304304304303304304303303302301301300302299300300300301302302301302301302300302301302302301302302301301301301300300299299299299299299299299299299298299299299299300300299298299299299299299298298297298298298298298297297298297297296296298298297296297296297297297296295295295295296296295295295295296296296296295295295295295295295294295295293294293294293293294294293292292291290291291291291291292291291292292292292292293293291292293294293293293293293293292292292292292292292291291291291291291291291292291291291290291290290290291291291291288289289290289289288288289289289289288288289289289288288288288288288288288287288288290 294291289291290294297292292292291292292288289290288290290292294290289293293293291294293293291292294288289285290290289283281286284286282283287286283285999999999999999999999999999999999999999999999999999288288289290290291290288288288288288289288288288289289290290290290289289290291293292293293294292292293292290291291292291291290291290290290290290290290292292293294294293293293293293291293293290290294293293293293291293293291292291290290290290290289288290289290291290291292292290291291290289289292290289290290289291291291291289290290291291291291292292292294293294293999999999999295297296293295295295295296296295296296296294295294292290293296298297296298296294294295295296293293294296297999999999999295296999999298300298300301999999999999299297296295295295296297297295296999297298297297298298298299296298298295296298297297296296295295295295295295296296294296295295294295296296296297297297296298297296296295297298297297297298298298299298299299300300300300299301303302301301301301301302302301301301301301302302302302303302302302304303303303303303303302302302301301300301302302302302302302301302301301302301302302302302302301301301301301302301302302302302302302302301302303304304304303302303302301301302302302303302302302302302302303301302302302302302302302302301302302302302303303302302302302304303304304304305305304303304303303303304302303303304303302302302302302302302303302302303305303304305303304304303306305304305305305306305304303303304305303304303304305305306305305306305305306306305306305306307307307307307307307307307307306307306306306306306305305306306305305305305305305305305305304304304304305304304304305304305306305305305305305306305304305306305304305304303304304304304303304304304305304305304303304304307305304305306305304304304305304304304305304305306305303304304304305304304305305304304303303303301301301303302300302302298301302302301302301303301302302302302301302302303301301301300300300300300299299299299299299299299299299299299300299299299300300300299299299299298298298298298298298298297297297298297297297297297297296296297297297297296296296296296295296295295296296296295295295295295295295295295294294294295294294294294293293293292292291291291291291291291291292292292292292293293293293293293294294293293293294293293293293293293293293293292292292291291291292292292292291291291292291292291292291290291290290290289290289289289290289289290289289289289289289288288288289288288288288288288290 293293294293294293292291292291288291289289289288289286286295293294291290294291293292293288287288289286290291290293293285282283283286284285286284275285285999999999999999999999999999999999999999999999285288287288290291290290288287288289290289289288289290290290290290290290289290291293292291291294292293292292291291292292291291291291291291291291291291289293293293293294293292291292293291293293293293294293294294293291292292291289288289289289290289289289289291290291290290291291290290291291291289292289289290290289291290291292291289290291293293292292292293295296293999296292291296296296295295293293293294296294295297298295295293292292294294296296296293296297297293295294294293295999999999999999999999295292999999300297297300999999999999999299297295296295295295297296291294296298297298999297297298298298298297297296297297297296295296295295295295296296295295295295294294294295294295296297297297297297296296295298297297297297298298298299298298300300300300301302302303302301302302302301301301301301300301302302301302301301302302302303303303303303303303302302302301301301301301301301302302301301302300300302301302301301301301301301302301300300302302302302303301302302302301302302303304304302303301302302302302303302302302302301301301302302302301302302301301301301301302302302301302302302302302302302303304303303304304304303303302302302302303303302302303303302303303302301302304302303302303303305304303304304304304305304304305305306305304304305305305304305304304305305305305305305306306306306306306306306307307306308307308307307307305306307306306306306307306306306306305305305304305305305305305305304305304305305304304304304305306306305305306305306305305305305305304304304304304303303303303304303304304304304304304304305306305305306305305304304305305305304305304305305306306304304305305305305305304305305304304303302301301301302302301302302300303302302301302302303302302302302303302304303303301301301300301300300299300299299299299299299299299299299300300300300300300300301300299299299299299299299298298298298298298299298298299297298298297297297297297297297296297296296296295296295297297296296296296296296296295295295296295295295295295294294295293293293293293293292291292292292292291292292293293293293294294294292293294294294294294294294293293294294293293293293292292292292291291290292293292292291292292292291291291290289291290290289289289289289289289289289289289289289289288289288288288288289288288287288289288 296295296295294294294292295294292292286284284285289286288293294292291288290292289289290287288290288289287289289288286284280278281285285287283285277284999999999999999999999999999999999999999999999999287289287287288289288290290288288289290288290290290290290290290290290290291291293291291291292292291291292291291289291292291290291291291291292291292293292293294293295296295294293294292293292293293293293292295294293292291291290291289288289289290290289290291291291292291290292292290291291293293292291291290292290290290290290290289290292291292292292292293293294295999298297295296295296297297297294294294295294295296296294295294294293293298296295296295298293300296296294294294293999999999999999999999293294293999999298297999999999999999999999298296295296296295296295296293293296298297300999297298298297297298297298297297297296297297296296296296296296296297295295295294294294295296295296297297297297297296296296296297296297297298298298298298299299300301300300300302302301302302301301301301300300300299300302301302302301302301301302302303303303303304303302302302302301301301301301301300301302301301301301301302302301302301301301302301302300300302302302302303303303303302301301302303303303303303302302302301302302301301302302302302302301301301302302302302303301302302303302302302301301302302302302303303303303302302303302303303302302302303303303303304303303303303303302302302304304304305304305304304304305304304304305304305305306305305305305304306305305304304304305305305306306307306306307307307307307307307308307307308308308308308307307307307306306307307306306305305305305305305305305305305306305305305304305305305304305305306305306306306306305306306305306305305305305304304303303304303304303304304305304304304305305305306306305306305305306305306306305306305305307306306305306305306306305305306305305304304304304303303302302303303302304303303303303303303303304304302304304304304304303304303303302302302302301301300301301301300300300299300300300300300300301301300301301300301299300300300300299299299299299299298299299299299298299298298298297298297297298296296297296296297296296296296297297296296296296295295296295295294294294294294294293293293293293293292292292291292291291291291291292292292293293293293293293293293293293293293293293293293293293293293293292292292292292292292290292292292292292291291292292291291290290291290290290290289289289289289289289289289289288288288289289288288288289288288287288288288290 294296293293294294298293296295290291293284293293290290292292290292290287285291289290290290289293289289289285286283284285280277281279287289285285289999999999999999999999999999999999999999999999999290290289286287288288288290290289290290290289289290290289289289290290291291293291292291291291292291291291291290291291291290290291291291291291292292293293293295294294294294294294292293292292291287287292292293293292292291291289288288288288290290291289289290291292291290290290292291290289290290292291291290291289289290289290291289289290291291291292292293297296296999999294294293293294296296296296298294293294295296295294293294296296296293294294294294296298300299292292292294291293999999999999999999999292294999999295296299999999999999999999999999295296295296295295295295999999298298296297297298297296297296298297297298298297296296297297297296295296296295295295295295295295296296296297297297297297298297297297297297296296296297297298299299299300299300299300300300299301303303303301301301301301300300300300301301302301301302301301302303303304304304304303302302302302302302302302302301301301302301302302302302302302303302302301301302301302302302302302302302302303303302303301302302303303302303303304302303303303302302302303301302303302302301302302303302302302302303302303302302303302302302302302303303304303304303303303303303304304303303303304304303304304304304303304304304304305304305306306306306305305304304305304305305305306305305306306305306306305305306305305305306307307307306306307307308307308308308309308308308308308309308308308307308307307307307306306307307306306306305306306306307306306305306305306305306305306306306306306306306306307306306307306305305305305305305304304305304303304303305305305304305305305305306306306305306306305305304304306305306307307306306306305306305306306306306306305305305304304303304303303302302302302303303304303303303303304305304304305305304303304304303303303302302302302302302301300300300300300300299300299300300300301300300300300300301300300299299300299300299299299299299299299299299298299299299298298298297297298296296297297297297297297296296296297296296296295295296296295295295294294293294293293294294293292293292292292292291291291291291291291292292292293293293293293293293293293293293293293293293293292293293293293292292292292292291292292292293293292292292292291291292292291290290289290290290290290289290290290289289289289289289289289289289289289289289288288287287287289 295293294295295295297294294294292292290287297293283292292286290291291290288288285283286286288288288293289289287286286286286280282281282289287284291999999999999999999999999999999999999999999999999999289288286288288288288288289290290289289289288290289288290289290290291293293292292292291291290291292292292291292291291290289291291291291291292293293293293293295294293293293294294292293292289291290292294293292292291292290290290290290289290289290290289290291291291291291291291291291289288290291291291291290288290291290291290290290289290291291292294294294295999999999293294294294294295293298296300298295295296295294293293294295295294293294292295295295292296293292292295295293292999999999999999999999295293999999292295296999999999999999999293293295295295296293294295296999999296296295999297297295296296296297298298298298297296296296295295297295295296295295295295295295294295296295297297296296296297296297297297297295296296296297298298298299299299300299299299300300300300300302301302300301300300300300300300301301301301301301301301302302302302303303303302301302301301301301301302301301301300301301303301302301302302302301300302302302301301301302302301302303302303302302301301301302301302301303303304304302303303301302302302302303302303303302302302302302302303303302302303302303303302302303302303304304304304304303304304303304304303304303304304304304303303304304305305305306306306306306307306306305305304305305305304307306304305306306306305306306306306306306306306307307307307306307307308307307308307308310308307308308308308308308307307307307306306306306306307306306306306305305305306306306306306305305305306305305304305305305305305306306306306306306306305305305305305305304303303303303303303305305305304304304304304305305305305305306304304304304305305306306307305306305306305305306305306306306306305305304304303304303304302301300300302303301302305305305304305304304304306304304304303303303303303302302302302302302300299299299299299299299299300301301301300300300300300300301301300299299299299299299299299298299299299300299300299299298298298297297297297297297297297298297297296296297296296296295295295295295296296294294294293293293292294293293292292292293292291291291291291292292292292292293293293294294293293294293293293293293293293292293293293293293292292292292293293292293293293293293293293292292292291292292291291290290289289290290290290290290290290289289290288290290289289289290289289289288289288288288290 291293295295296297297296295296295294294293296296293292291287285286290290291286289289289287286288286288285287285283283284283288285282284288288286999999999999999999999999999999999999999999999292999290288286287287289290289289288289290289289289289288289289289290290289291290293293291291291290290291292291293292293293292291290291291291292291294294293294294294293293293294294293293294294293290292292292292292292291290289290290291291290289289290290290291291291291291292292291291292291291289289292291291291290290291290290291290291291290290290291293294293293999999999999291293294296295294296297296296297295295295293292294293292293295294293292293294294295289290291292291292293293293293999999999999999999293292999294292294295293294292289288290292292294293295294292294295297999999999295295296297296297298297297297298297298298297296296296296296296295295295295294295295295295295295296297297297296296296297297297296297296296296295296297297298299298298298298298298298299299300300300301301301300301300301301300299300300301301301301300301301302303302302302302302302302301301301301301300300300300300300301301301301301300301302301301301301301301300301301302301301999301302303303302302300301301302302304303304303304303301301302303303303304302302301301302302302302302302302302302302302303303303303303303304303304304304304305303304303303304303303304304303304304304304304305305306306306306306307307307306306305306306304306305303305306306304305306306306305305306306306306306306306306307306306306307307308308308308307308309308308308309308308307308307307307307306306306307307307306305306305306305306306306305305306306305305305305305305305306306305305305306306305306306305305305305305305304303303303304304304304304305304304305304305305304305304305305305305304304305305305305306306306306305305305306306306306306306306306304305303305303303302302302301301305302302303303303306304305305303305304304304304303303303303303303303302302301301300300299299299299300300300301300301300299299300299300300300300299300299300299299299298299299299299298300299300299299298298297298298297297297297296296297297296296296296296295296296295295295295294294294293294293293293295293293293293292292292292292292291292292292292292292292293293294293294294294294293293293294293294293293293292293293293294293293293293293293293293294293294294292292292293291292292291291291291290290290290290291291290290290290290290290290289289289290290289289289289289288288288291 291293295295296296296296295294293294292291290289291287294287287284284290287291289288289289288286285285286287288285283282286281285284285284288284999999999999999999999999999999999999999999289291289289286287288289289291289289288289288289288290289290289290290291291292292291292293291291291291291291290291291291291292292292290291290291292293294294293294294292293293293294295294293294295294293292292290291291292290289290290289290291289289288290290290290290290291292292291291292291291291291290291290291291291291290289291290290289291291290290292292292292999999999999291291292294295295296296296294295295294294295294294294293293294293293293294294293296296294293294292293295295294292291290999999999999999999289999293294295296296295292291290291291291292294295295294294296294293295999999999296296297297297297297297299297297297296296295296296295296295295294294294295294295295295295297297297297296296296296297296296296296296296296296297297298298297298299299299299299299299299300300301301301301300300301300299299299301300300301300300301302302303302303302302302302301301301301301301300300300301301301301300302301302301301302302302301300302301300302302302301301302302302301302302301301301301301303303304303303304303302302304304302302302302301301301301302303302303302302302302302303303303303303303304304304304304304304304305304304304304304304304304304305305305305305305306307306306306307308308307306306306306306306306305305305306306305306307307307307306306306306307306306307307306306306305307307307308308309308307308307308308308308306307306307307307307306306306306306306306305305305306305305305305305305305305305305305305305305305305306305305305306305305305305305305305304304304304303303303303304303304304304305304304305305304304304304305304304305304304305305305306305306305306305305305306305306306306305305306305305304304305302303302301305303304302302303304303305305306306305306305304304304303303303303303303302301302302300299300300299299300300300301300300300300300300300300301300300300299300300299300300299299299299300299299300300299299299298298298298297297297297296296297297297297296296297296296295295295295295296295294294295295295294294293294293293292292292292293292292291292293292293292293293293293294293294294294294294294293294294294294293293293293293293294293294294294294294294294295294294294293294293293292292292292291291291291290290290290291291290290290289290290290290290290290290289288289289288288288289288290 293296296295295294295296295294295294292293291290289287286289290290289288288287289288288289288287287289286289290288282285288280286286284285286285999999999999999999999999999999999999999999288288287287285286288290289290288288287288288288289289288289290289291290291292291291292291291291292291290291290290290290291291292294292293294293293292293294294294293292292292293294294293293294293292292291291290290290289291290290289289291289290289289290291290290291290290290291291291291290292292290290290290290290291290289290291291289290290291291292294292294999999999999293291290292293294296294295296296296295294293294296297294292293293293292295295295294296295294293291293293292295294293292292291289999999999999999290292293295297299295294294291290291292291292293295294296297294293999999999999297297296297298298297297297297297297297296297296295295295295294294294294294295295295296296296296296296296296296297296295296296296296296296296297296298297297298299299299299299299299299301301301301300300300300300300300300299300301301300300301301302302302303303302302302302301300301301300300300299300301300300300301301302301301302301302302302302302302302302302302302302302302302301300301302302303301302303304303303302302303303303303302302303302302301302301302302302303302302302303302302303303303303303304304304305305305305305305305305305304305305304304305305305305305305306307306307307307307307308308308307306307307306306306306307306307307306307307307307307306306307307307306307308307307307306308307308307307308307307309308309309308308308307308307307307306307307306306306306306306305306305305305306305305305305305305306306306305305305305304306306306305305305305305305305305305305305304304303303303304305304304304304305305304304305304305305305305304304304304306305306306306306306305305305305306306307307306307305306306305304303303304303303303303305305302302303306303303303305305306304305304304304304303303303303303302302302302302300301300300300301300300300301301299300300300300301301300301301300299300300300300300300299299299300300300300300299300299300298299299298298297297296297297298297297297297297296296297296296295295296296296295295295294294293294293293293292292292292292292292292291292293293293293294294294294294294294294294294294294294294294293293293293293293293293294294294294294294294295294294293293294294292293293292292292291291291291290291290291291290290290290290290290290290290290289289289289289288288288288288288289 295296299295295296296297295294293294293292292291291290289287292293292291289287289288289289288286290289286286286285286287288285283286288288288291999999999999999999999999999999999287286286287287286287288286288289288288288288288287288288289289288290290291290290290291291291292291291290292291291291291291291291292292292292293294293292292291291294295292292292291291292293293293291292292291290291291292292291292291290290289290290290290289290290290291291290290291289290290290290292292291290290290290290290289289289290291291290291292292291288292292999999999999296294292293295294294294293296296295295294294294294295295293292294294292290295294296294295295296294297292295295295295293294292294291292999999999999290291290297295296296293293293294293293292292294296296295296296295999999999999999296999297298298298299297297297297297295297296295295295295294294295293294294295295296296295295295296296296296296296295295295295294295295296297296296297298297297298299299299299299300300300300300300299300300300300300299300300301301301301301302302302302303302303302302302302301300301300300300300300300300300300301301301301302302302302302303302303303303302302302301302302302302301302302302302302303302302303302303302302302302302303302302302302302303302302301302302301302302302302302303303303303304304304304305306305305305305305305305305305306305305305305305306305306306306307307307307307308307308308308308307308308308307305306306307307306306306307306307306306307307307307306307307307308307307307308309308306309308308308308307308308307308308307307306307306306307306306306306306306305305305306306305305305306306306306306306306305305305304304305305305305306305305304305304305305305305304304304304304304305305304304305304304305305305304305305305305304304305306306306306307306306306305305305306306305307307305306306305306305305305304304303303303303303305303303303306306302303305306307305306305305304304303305304303303303303302302301301300300300300301301300301301301301301301300301301301301301300300300299300300300299300299299299300299299299300300300300300299299299298298298298297297297297297297297297297297297298297296296296295296296296296295295294293294293292292292292292292292291292293292293293293293293293294295295295295294294294295295295294294294293293293293293293293293293294295294294294294294293293293294294293293293293292292292291291292291290290291291291290290290290290289290290290290290290290290290289289289288291289289289 294296299297296296298299298296295296295295293292293290291287291290289296291287294288288288287288290290289291284284287289287283286284288289288287999999999999999999999999288288288290288289289289287288288289289288288289289289287287287287287287288289289290290291291292293291291291292291292291291292293292291293292291293292293294291291291292293295292291293293291293291293293293291291290290290291291290290291291290288288289290291291290289289290291291291291291291291289290290291291291290290289289290290291290289290290291291291292292291290294999999999999293292293293294295294294292294294295294299291293293294294295295293293293293292295292295294293296296296294297296296296297293293292292293293292999999999291290290999999293294295294294294294294294296999294294296295297297293999999999999999999999297297297297298298297297297296295295295295294294294294295294293294294295295295296295294295296295295294295295294294295295294295294295296296296297297297297298300299299299299300299299299299299299299299299299299300300301300301300301301302301302302302302302302302302301301301301300301301300300300301301301301301301301303303302302303303303304304303303302302302302303303303301301301301302302301302302302303303303302303302302303303302303303302302302302302303303302301301302302303303303303304305305305305305305305304305304305305305305305305305306306306306306306306306307307307308307308308308308308308308308308308308308307307306307307307306306305306307306306307307307306307307307307307308308308308309309308309308309309308309308308308308308307307307307307306307307306306306306306305305305305306305305305306306306306306305306305305305304304305305306306305305305305305305305305305305304304304305304304304304305305304304305305305306304305305304305305305305305305306307306306306306306306306306306306307307306306306305306305305305304303304304302302302301301302305306305303303303303303307306305304304304304304304302302303303302301300300300300300300300301301301301301301300301301300301301301301301301300300300300300300299299300299299299300300300299300300300300299298298298298298298297297297298297297297297298297297297297296295296296296296298295296294293293293293292293293293293293292293293293293293293293294294294295295295296295295295295296295294293293294293294294294294294294294294294294295295295295295294294294294294294293293293292292292292291292291292291292290291291291291291290290291290290291290291290290289289289289289289289289 297297298296296297296298297294296296295295295294291293291290290292291290293293292291289289292289286290285289285286287286284284285285286288286286999999999999999999999286287289288289289289289289287289289289288288288289289287287287287288287288288288288289291291292291292291291291290291292291292293293292293293292292292293293293292294293293294294291291290291293293291294294291292291290289290290290290290291290288290288289290291290290289289290291291290290291291290290290295292292291291290291291290291290290290290292290290291292293291291999999999999293292291292294294294295294295296294293293292291292293295295295294293293293293294295293292293294295295297296298297297299296293292291292293292292290290289290294295293293293295294293294294294294294295297294293296296296295295999999999999999999999296296297298298298297297297296296296296295295294294295294294294294295296294295296295295296295294296295295294294294294294294295295295295294295295296297296297298298299298299298299299299299299300299298298298299299300301300301300301301301301302302302302302303303302302302301301302301301300301301301301301302302301302302303302302303303303304303303303302302302303303303303302302301301302302302302302301302302302302302302303303303303303303302301303303303303303302302302302303303303303303304305305305306306305305305305305306305305305306306306306306306306307307306307307307307308308308308309308308308308308308307307308307306307307306307307305306306306307306307307307306306307308308308308308308308310309309309309309309308308307307308308309308307307307306306307307306306306306306306305305305305305305306305307305305306305305305305305304305305305305306305305305305306305305305305304304304305305305304304305305305305305305305305305304304305305305305305305305305305305306306306306306306306306306305306306306306305305305305305304304304304304303302303302303301302304305305302306303304306303305304304304303304303303303303302302301301300300300300301301301302301301301300301301301301301302301301300301301300300300299299300300300300300300300300300299300300300300300299299298298297298298298298298298298298298298297297298298297297296297297297298296296295295294296294294293293293293293293295294293293293293294294294295296296295296296295295296295296294294293294294294294294294294294294294295293295293294294295294294294294294294294293293292292293292292291291292290292292291291291291291291291291290291290290290290290290290290289289290290290 296297299298298299299298296295295296295296296297295292292295292293294292295294293291291291291293286289288286287286286286287287285286286287286286999999999999999999285287289289290289289287288288288288288288288288288288288287288287287287287288288289290290292291293292291291290292290291291291292291292292292292293293293293294293293295295294291292293292291291293293292293292291291292291290289291289289291291289289290290290290289290291289290290290290290291290290290290291290291291291291289290291292290291290291291292291291292291291291999999999999289291291291293295295294295294294294291293294292292293294293293293293294293294293295292294294297295296297297295295297297299299293295296293291292290290291291292295294293292293294295295294293294294294297297999293294293999999999999999999999999999999999296297298298298297296296296296295295295295294294295294294294295296294295294295295295294295296295295295295294294295294295295295295295295295296296296297298298298298298298298298299299299299299299298298298300299300299300300300300301300301301302302302302302302302302302302301301301301300300301301302302301302302303302302302302303303303303303303302302302303302303303303302303302302303302301301302301302301302302303303303303303303303303302302304304303303304303302302302303303303304303304305305306304306305305306306306306305306307307306306306307307307307307307307307308308307308308308308309308309308308308307308309308307307307307306308307307306305307307306308307307308308307308308308308310308310309310309309309308309308306306307307308308307307307307306307306306306306306305305305305306305306306306305305305305305305306306306305305306305305305306305305305305305305305305305305305305305305304305304305305305305305305305306305306305305305305306305306305305306306306306306306307306306306306306306306307307306305305305304304304305305303302302302302302304305304305305305306304304304304304304305304304304303302303303303302301302301301300300301301301301301302302302302302301301302302302301301301300300300300299300300300300300300300300300300300300300300300301299299299298297297298298298298298298298298298297297298298298297296297297297297295296295295295295294294293293293294294294294294293294293294295294296296296296297297297296296295296296295294294294295294294294294294294294295293295293293294294295294295295295294294294294294293293292292291291291290291292292291292292291291291291291291291291290290290290290290289290290290289290 299297297298298301300299295296295296294298297296293293292293294294293293293294292290291292291291288290290289286287286286288287286287288288286286999999999999999286288289288289290291291290289289289289288288288288287287288288288287288290290289289290289291292292292293291291290291290290290290291292291292293293294293292294294294293296295295292293294293293294293292292292292291291292291290290291290290291292291290290290290291290294290290290289290291291291290289290290291290292291291291290291291291291291290292291291290290291292292999999999999291290290290292293293293293293293294293291293293294292293291292292293292293294292293295294297296295295294295294294296298297298296292292293293293292292291291291292294293292294292296296298294293292294297295296999999295295999999999999999999999999999999999296297298298298297297296296296295295295295294294294294294294295294294295295295294294295295295295295295295294295294294295295295295295295295295296296297297297298299299298298298299299299298298300300299299299299299300300300300301300300301301302302302302303302302303303302302302302302301301300301302302302302302302302301302302303303303302303303302302302303303303303303303302303302303302302302303302302303302302302303304303303304305304304303304304304303303304303303303303304304305304304305305305305306306305305306307307306306307307307307307307307307307307307307307307308308308308308308308309309309308309308309309308308308308308308309308308308306307307308308307306307308308308308308309310310310309309309309308308309307307307307306307307307307306306306306306306306306305306306306305305305306306305305306306305305305305306305305306306306305306305305305305305305305305305305306305304305306305304305305304305305305305305306305306305305304305305305306306306306307306307306306306306305306306306307307306307306306305305305305304305303303303303303303303305302304305304305305304304305305304305304304304304304303304303302301301301301301300301301301302302302301302302302302301302302302301301301300300300300300300300300300300300300300300300300300300300300300300299299299298298297297297297298298298297298298297297297298297297297296297297296295296296295295296295295294294294294294295294294294294294295296296295295296296297297297296297297296296295294294295295295295295295294295294294294295294294294294294294294294295294294294294294293292293293293292292292291291292292292292291291291291291291291291291291291291290290290290290291291291 298301302301300299300298297297295297296293298296294295295295294293292292294293290291291291290288287289290290289289289288288286286287287287285287286999999999999287289288287288290291289291290289288287288288288288287287288287288289288290290289290290290291291293292292291291291290289289290290291291292292292293293293293294295293293295295292294294294293292293292291292292292292292290291290291291291291291294293290290289290290288289290290291290290291290290290290290290291291292292291291291291291290290291292293291290291291291291999999999999290290291292292293294294292293293295294293293293294293293293293293295293293294293293293295296292294293295291293296297297296296295296293294294294291293292290292292293294293293294294295298295295291293296295293297999999999999999999999999999999999999999999297296297297298298297297296295295295295295295294294294294294294295294295296296296295295295295294294295295294294294294294294295295295295295295295296296297297297297297297297297298299299299299300299299300299299299299300301300301301300300301301301302302302302302302302302302302302302302301301301302302303302302302301301302302302303303303302303302303302303303303303303303303303303302302302302302302302302302302302302303303303303304303304304304304304303303303303303303303304305305305304306304305305306306306306306307306306307307307307307307308307308307306307307308307308308308308309308309308309309309308309309309309309309309310308308308309310309309308309308308308308308309308309309308309309310310310309309309308308308307308308306307308306306307306306306307307307306306306305305306306305305305305306304306307305306306305305305305306306306305306305305305305305305305305305305306307305305306305305306305305304305305305305306305306305305305305306306306306306307306306306306306306306306306305306306307306306306306305305304304305304305302304304304304304306303304304304304305305304305305304305305305304303303303303302301301301300301301301301301301301302302302302303303302301302302302301301300300300301301301300300300300300300300300300300300300300299299299299299298299298298297297298297298298298298297298297297298298298297298297297297297297297297296295295296295295294294295295294293295295295297296296296296296295296297297297297298297298297295295295294295295296295295295295295294295293294294295295295295295295294294294294294294293293293293292292292292292292292291291291291291291291291291291291291291291291290291291291291291291292 300305306301301299298298298298298296292294298298295297296295294294295291293292293291292291290288288289288288287289288287287288288288286288286287999999999286287287286288288287289290289289290289288286288287287288288288288289289289288289290290291290291290292293292293292290291291289289291291292292293293293293292293293294294294293292292292294293293293293293292293293292292291291291290291291292292292292292292289291289289288288288290290290290291290291291290290291291291291292292291292291291291292291292292292292290291292292999999292291291291291293293294294294294294293293293293292291292294293293293294293294294294292292293292293296296294292293292293294297295296296296296294293294293294295295293294294295296999296297294296299298294293295295295296296999999999999999999999999999999999999999296296296297298296297297297296295295295295294294295295295294294294293294295295296295295295295295294294294294295294294293294295295295295295295295295296296297296296296296297298298299300299300299299300300299300299299300299300300300300300300300301301302301301302302302302302302302302302301301301302302302302301301301301301301302303302302302302303302303302303303302303303303302302303302302302302302302301302302302302302302302302303303304304304304304303303304304303304302303303303304305304304304303305306306305306306306307306306307307307307308308308308307307307307307307308309309309309308308308308309308308308308308309309309309310310309309310310310310309309309309309309309309309308309309308309309310309309309308308307307307307307306306308306307307306306307306305306306305305305305304304305305305306306305305306306306305305305305305305306305305306305305305305305305305305305305305305304305305305304305305305305305305306306306305305305304305305306307307307307308307306306305306306306305306305305306306305306305306306305304305304304304304304305304305306306304304304304304304305303305304305304304304303303303303303302301300300300301301301301301301301301302302302302302302302302302302302301301301301301302301301300300300300300300300300300299299299300299299299299299298298298297298298297297298298298298298297297298299299297297297299297298297296296296294296296296296295294294295295294295295295295296296296295295296296296297297297298297297297295295295295295295295296295295295294294294294295295294295294295295295294294295294294293293293293292292292292292292292291291292291291291291292292291291291291291292291291291292292292292292292 303301302302300301300299298299296297293294298295297297294293296292295293291291291291292291293290290291291292291289290290288287288290288287287284287287285286287286287287288289289290289289290289288288288288287287288288289288289289289290290290291292292290291292292292292291291290289290290291293292293294293293293294293294295293292291292292293292292292292292292292291291291291290290290292291291293292292292291290290289289290289290291291290290290290290290290291290292291291291292291292291290291292292291292292293292292292999999999291291292292293294295294294294295295294293293292292291292292293292293293292293293293293293292292294294294295295293292293293294294295295294296296294296296295295296293293293292999999999999294295296295294293296999296295295999999999999999999999999999999999999999297296296297297296297297296296295295295295295294294294294295294294294294295295295295295295295294294294294294294294295294294294295295295295295294295295295296296296297297298298297300299299299299298298299300299300299300299299299299299299300299300301301302301302302302303302302302302302302301302302302301301301301301301302302302302302302301301301302303302303302302303303303303301302303302301302302302302302301301303304303303303303303304305305304304303304303303303303304303304305305305305304305304305305306306306307307308307307308308307308307308308308308308307308307308308309309309309308308308308308308308309308309309309309310310310310311311310310310310309309309309308308309309309309310308309310310310309309308309307307307307307307307307307307307306306306306305306306306306306305305305306306306306306305306306307305304305306306305305305306305306306305305305304304305304305305304305305305305304305305305305305305305305306305306306305305305306307307308307307307307305305306306306305305305305305305305305306305305306305305306305305305304304304304304305305303304305303304304304304305304303303303303303303303302302301301300300300301301301301301301301301302302301302302301302302302302301301301302301301301301301301300300300299300300300300299299299299299299298298299298298298297298298298298298298298297297297297299298299298297299299297298297297296295295295296295295295295295295297294295295296296297297296296296295297296297297297298296296296295295295295295295295295295295294295294295295294295295295295295295295295295295295294294293293293293293293292292291292291291291291291291292292292291291291292291291292292292291292292293292293 999303302305301303300297299297298297297297298297296296296297294295295294292293290294293291290285288291290292291291290291289289288289289287285286285286284285286286287288289289289289290290290289288288288288287287288288289289290289290290290290290292291291294291290293289292291291290292290292292292293293293293294294291293294294292293293293293292291292292292292292292292290290290290290291291290292290290290290290289290290290290290290290290290290289290290291291290291291291291291292292291291292292291291292292292292292292999291291291292293293294294295294294294294294294293292294294291291292293294294293293292293293292293293294294294294293293293294293293296295294293293297296297296296294294296294999999999999999999999999294296295294292999999999999999999999999999999999999999999999999999999999999999297297296296296297296296295295295294295295295295294294294293294293294295295295295295293294293294294295294295294294294294294294294294295295295296296295296296297297298299299299299298300299299299300299299299299300299299298299300299300300300301301300301302302302303302303302302301302301302302301301301300301301302302302302302302301300301301302302302302302303303302303302303302302302302302302302302302302303302303303303303303303304304304305304305304303303303303303305304304306305304304304305305306306306306307307307307307307308308308308307308308308308308308308309309309309308308308307308308307308308308309308309309310310311310311311310310310310310309309309310309309309309310310309309309309309309308308307307307307306307307308307308307307307306305306306307306306306306306307306306306306306306306305306306305305305306306305305306305306306306305305305305305305306305306306305305305304306305305305306306306305305306307306306306305306306307308308306306306306306306307306305305305305305304304304304305305306305305305305305305304304304304303303304302303302303303303304303305306303303303303303303302302302302301300300300300300301301301301301301301302302302302302301302301302302302301301301301301301302301301300300300300300300300299299299299299299299298298298298298298297298298298298298297297297297297297298299299299298298298298297297296294295296296295295296296296296294296295295296296297297297297296296296297297297297297298298296297296296295296295296295296295295295294295295295295296295295295295295295295295295295295295295294294294293292292293292292292292292292292291291291291291292292292292292292292292292293293293293293 999999301302301298297296295296295295296293294294295294296297297296295295294294296294294290291290292289287291293287289288289289289287289289287286286286287286288288288288289289290290290290290289288288289288287287287289289289289289290290290290291292293292293292290293293291291291292290292293292292293292293293293292292293292293293293293292292291292292292292292292292292290291290290290291291291290291290290290289289289290290291290290290288290290290291290291291291290291291291291291291292291292291291292291291292293292292291292292293293294295295295295294293295294294294294294294294292293292292294294295293293293293292293294293294294294294292292293294295296295295293293295296296295295295297296294999999999999999999999999293293295295294999999999999999999999999999999999999999999999999999999999999297295297297297297297296296296295295295295295295295294294294294294294295294295295295295294293294294294294293294294294294294294294295295294294295296295296296296297298298298298298298298298299299299299299299299298299300299300299300300299299299300300300300302302303302303303302303302302302302302301301301301301302302301302302302302301301301302302302302302303303304303303303304302303302302302302302302302302302302302303303303304304305304305304304305304303303303303303303304304304304304304305305304305306306307307307307307308308308308309308308308308308308308308309308309309309308308308307308307307308309309308309309310310310311310311310310310310311310309309310311309309309310309309308308309309309308308307307306306307306307308307307307307307307306306306307307306307307307307308306306307307306306306306306306306305305305305305305306305305305305305305306306307305305306305306305305306306307306305306304306306306306306306304306306307306306306307307307306306305305307305305305304305304304304304304303304306306306306305305305305304304304304303303303303302303303303303303303303304303304303303303303303302302302301301301300300300301300301301301301302302302302302301302302302302302301301301301301301301301301301300300300299300300299299299299299299299298298298298298298297297297297298298298298298297296296296297298299298298297296296297297296296295295295295295295296296296295295296296297296297296297297297297298297297297297297297298296296296295295296295295296295295295295295296295295295295295296295295295295295296295295295295295295294294293293293292293292292292292292292292291292292291292292293292292292292292293293293293293293 999999999296298296296296296294298296295294294296296297295297295297296295295293294292292293293291293291291289289288289288288289290288288287287287287288287287288288288289290290289290290290290290289287290289288288289288288288290290290291291291290291293292290288293292291293294294292291294291290291291291293293293293293293292293293293293291292293293292292292292292293292290290291290290289291291291291291291291290289289289290289290289290289291290290290291291291291291291289288290291291292292291291291292292291291293293292999290291293294293294294295294294293293293294295295295295294295294294292294294294292293292292292292293293294292292293293293294294294295294294293293294295296296295296295295295999999999999999999999999295294298296999999999999999999999999999999999999999999999999999999999999999295295297297297297297295296296295295295295294294294294294294295295295294294294295294295294294294295294294294294294294294294294294295295294296296297295296296297298298298299299299299299299299299300299299299300299300299299300300299300300300300299300300300302302302303303303303303303302303303303302302302302301302303302301302302302301301302302302302303303302303303303303303303303302302303302302302303302302302302303303303304303303304304304304304305304304304303305304304303303303303303304304305306305305306307307307308308308309309308309309309309308308308308308308309308309309308308308308307307307308309308308309309309311311310310310310310310311310309309309309309310309310309309310309309309309308308308307307307307306307307307308307307307308307307307307307307307307307307306307307307307307307307306306306306305305305305305305306306305305304305305306307306306304306305306306305305307307307305306306305306305306306307306306306305306305306307307306307306306306306307305305304305304304304304304304304305306305307306305305305304304303304303303303303303302302303303303302302304302302302302302302302302303303302301301301300301301301302301301301301302303302303302302302303302303302302301302301301301302301301301301300300300300299299299299298298298298298298298298298298298297297297297298298298297298296296296296298298297297297296297298298297296296295295296296297296296296296297296296297297297297296297297297297298296297297297297298297296296296296296296296296295295295295295295295295295295296296295295295295295295295295295295295295295294294294294293293293293292293293292292292292292292292292293293293292292293293293293293293293 999999999297298296297297297295294295294294294296295295296296297298297295294294294292291292291289290290288291289292291289288287289289288288289288288289289288289289290289289291290290290290290289288288289289288289289289288289290289290291291291289290293293293292291293293293294294293290292291292291291291292292292292293291291292291292291292291291292291291291290291292291290290290289289290290291289290291292291290290289290290290290289290290290290289291291290291290290289289289290291292291292292291291292292292291293291291290290291293293294294294295295294294292293293295291295295295295293292293293294294293291292292292294292293294294294294293294295293294294294292294292293296296294293295295296999999999999999999999999999295295999999999999999999999999999999999999999999999999999999999999999999999999294296297297296297296296296295295295295294294294294294294294295294295294295295294293294294295294294294295294295295294294294294294294295295296296296296297297297297298299299298297298299299299299299299299299299299300300300300299300300300300300299299300302302302302303303303302303302303303303302302302302302303303303302302303302302302302302303303303303303303304303303303304303303302303302303303303303302302302304304304304303302303304305304304304305305304304305304304304303303304304304304304305305305306307307308308308309309308308309309308308308308308308309308308308308309308308308308308307307308308309308308310310310311311311311310310310311310309310309309309311311309309309309309309309309308308308308307307307307307307307308307307307306307307307308308308308308306307306307308307307306306306306306306306305305305305305305305305305304304305305305306305307304305305306306306305307306306306306305305305305306307307306306306306306306304306306306306306306306307306306305304305305305304304304304305305307305307307306305305305304304304304304304303303303303303302302302304302302303302302302302303303303303302301301301301301302301301301301302301302302302302302302302303302303302302302302302301302302301301300300300300300300300300299299299299299298299299298298298299298297297297297297297297298298297296296296297297298297297296298299298296295295295296296296296297297296296296296297297297297298297297297297298298297298297297297297297297297296297296296296296296295295295296295295295295295295295295295295295295295296295295295295295294294294294294293293293293293293292293292292292293292293293293293292293293293293293293293293293 999999999298299298296297295295294295295294294296296296296299298297297295295294293293291291290291292289288289289288288290288289288288287289289287288289288289289288289289290290291290291290289290289290289289288287288288288288288290291291291291290293292294293292290291290293295293291290291291291291291291291292292292291290290292291291291291290290290290291291290290291291290291291290289290290290290290291291290289289290290289288289290291290290289291291291290289289290289288290290290291291292291291292292291292293294292291292292293293294294293294294295293293293293295295294295290292294292292293292294294294294293294293293292292293292295292293292293292295293293292294292293294294295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296296296296297296296296295295295294294295295294295294294294294294295295295294294294294294294294294294294295296295294294294295295294295296296296296296297297298297298298299299299299300299299299299299299299300300299300300300300300300300301300299301301302302302302302302302303303302302302302303302303302303302303303303303302302302302303303303303303303304304303304303304303303302303303303303304304303303303305304304304304304304304304305305305306305305304305304304304304304304304303303305305304305306306307308308308309309309308307309308308308308308308309308308308308309309308308308307308307309309309309309310311311312311311310309311311311311310309309309310310310309309309310310308309309309308308308308307307308307307307308308308308307307307307308308308307307308307306306306306306307306305305306306305305305305305305305305305305305304304304305306305305305305306306306306306305305305306306305306305306306306307306306305306306306305305306305305304305305305305305306306305305305304305305304304305306305307306304304306304303304306306303303302303303303303302303303303303302302302302302302302302302302302301300301301301301301301301301301301301301302301301302302303302302302302302303302302301302301301300300300300300300299299300299299299298299299299299298298297298297297297297297297297297297297297297297297297296296297297297297298296296296295295296295296297296297296297297297298298299298297298297297298298298298297297297297297297297297296296296296296296296296296296295295295295296295295295295296296295295295295295295295295295295294294294294294293293293294293293293293293293293293293293293293293294293293293293294294293 999999999300300297297297296296295294294293295296295297296297297299298296296294293292292291290291292289291290287285287289287288290288289288288289289289288289289288289289291291291290290289289290289290289288288287288288288288289289290290290292293293294296294291290292290291291292290290290291292292291291292291291292292291292291290290291290289289289290290290289290290290291290290290289290290291291290291291290290289288289289289289290289289290290291291291290290289290289290290289289290291292292292291291292292293294999292292292293293294294295294293294294293293293294293292295293292293294293292294293292293294294294294294294294294295295291292292292293295293294293293293292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295296296296296296296295295295295294294295294294295294294295294295295294294294295294293294294294293294294295295294294295295295294295295295296296296297297297297298298298299299299298300300299298298299299299300299299300300300300300300301301300300301302303302302302303303303303303303303303303303303303303303303303302303303303303303303303303303303303303304304304304303303303303303304303303304304304303303304305304304304304304304304305304304305305305304305305304304303303304304304304303304305305305306307306307307308309309309308307308308309308308308307309308308308309308308308309308308308308309309309309310311311311311311310310310311311311311310310309309310310309309309309309310308309308308308308308307307307307307307308309308308308308308308307308307307307308307307306307307306306305306306305306306305305305306305305305305305305305304304305305304305305304305306305306305305305305305306305305306305305305306305305306306305305305305305304305304304304305305305305305305305306305305305305305305304305305305305304304305304305305306306303302302302303303303304303303303302302302302302302302303302301301301301300301301300301301302301301301301302302302302302302302302303302302302302302302302302302302301301300300300300300300300300299299299299299299299299299298298298298297297297297297297297297297297297297297296296296297297297296297297296296295295297297296297296297296297297298298298298298298298298297298298298298298298297298298298297297297296297296296296296296296296296295296295295295295295295296295295295296295295295295295295295295295294295294294294294293293293293293293293293293293294293293293293293293293293293293293 999999999302301299296297295294294294294293294295295294294298296297298296296294294292292292293290292293292290291288289289288289291290290290289289290290288290290289290290291291290291290291291290290288289289289288288288289289289290291291292293291293293294293292290291292293292290291290291291291291291290292291291292291291290290290290290290290288289290290289289289288289290290291290290290290290290289290291290290290290289289289289289289289290290292292290291289290292290290290289289290291292292292292292293293292293291292293292292294293294294293293293293293294294293294294295294294293293292292292292292293293294295295295295294294294292292292292291293292291293292293290291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295296296296295296296296295295294294294294294294294294294294294295294294294295295295294294294294294294294295295295295295295294295295296296296296296296296297297298297299299299299299299299300299299299299299299300300300300299300300300300300301300300302303303303302303303303304303303303303303303303303303303303303303304303303303303304304303303303304304304304304304304304304303303304304304304304304304304304305305304304305305305305305305305305305305305305305304305304304304305304304304305304305306307307307307307307308308308309308308308308308307307307308308308308308309309308309309309309309309310310310311311312310310310311310310311311311311311309309310310310309309309309309310309308308308308308308307308308308308308308308308308308307308308308307307308308307307307306306306307306306305305305305305304305306306304305305304304304305305305305305305304305305305305306306305305305305305304305305304304305305306305305305306306304305305305304305305304305305305305305305305305306305305305306305306304305305304305304304303304304304306306302303301303303303302302303302302302302302303304303302303302301301300300301301300300300300301302301301302302302302301302302302302303302302303303303302302303302302302301301301300301300300300300300299299299299299299299298298298298299297297296297297296297297298297297297298298298297297297296297297297297296296295296296296297297297297297298298298298298298298298298299299299298298298298298297298298298297297297297297297297297296296296296296295295295295296296296296296296295296295295295295295295295295295295295294295294294294294294293293294294294294294294294294294294294294294294294294294 999999999999302300299298298295295293293293293295295295295297296295296295295294295294293292292293291291291290292290290287288290289289288290289289290290290290291290291291292291291291289291290290290290289288288287288289289289290291291293292292292291291294291292291291292292291291290290290289290291292291291290289290290290289287288289289290290289289290290290290289290290290290290290290290291290290290290291290289289289290289289289288290290291291291292290291289291292292291290290290290292292292291292293293293293292294293291293293293294292293293293293293293295294294294294297295294293293293292292292292292293294295296294295295294294292292295293290293293294293291293292999999999999999299299999999999999999999299297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295295296295295296296294294294294294294294294294294294294294294294295295295295294294294294294294295294294294296295295295295295295295296296297297296296297298299298298298298299299299299300299299299299300300300299300300299299300300301301300301301302303303303303303302303303303302303302303303303303303303303303303303303304304303303304304303303304304304304304304304304304303303304303304304304304304304305305305305305305305305305305305305304305306305305305304304305304304304304304304305305305306306307307306307307308308308308308308308308308308308307307308307308309308309309309309309309309310310310310311311311310310310310310310310309310309309309309310310309309310309309310309309308309307307308307307307308307307308307308307308307307308308307307307308307307307306306306305305305305305305305304305304304305305305304305305305304305305305305305304304305305304304305305305305305305305305304304304304304304306305305305305305305304305304305305305305305305304304305305305305306305305305305305305304305306305305304303303304304303304304304303303302303302302302302302302302302302302303303302302302301301300300301301300300301301301301301301301302302302302302302302302302303303303303303303302302302302302302301301301300300300300300300300299299299299299299299299298298298297297297297297297297297298297297297297297298298298298297297297297297297297297297297297297297298298298298298298299298298298299299299299299299299298298298298298297297297297297297297297296297296296296296296296296296296296296296296296296296296295295295295295295295295295295295294294294294295294294294294294294294294294294294294294294294294294294294295294 999999999999302301298297297296294294294295296296294295295296296295295296296295295295292295294292291291291290290289291292292291291292290291291291291290291289289290290291292291290291290289291290289289289289288288288288288290289291292291292292291292290292292292292291292291292292290290289289290291290291290290289290290290289288289289289290289289290290289289290289290290291291290290290290290290289289289290290290289289289288288289288289289290290288290291291292292291292291291291291291292292291291292292292293294295295294292293294294294294293292292294294294294294294294292293292294294293292292293293293293293293294295295294293293292292289291291291294296292290291293292999999999999296297296999999295290999999298294294292294293999999999999999999999999999999999999999999999999999999999999999999999999999293295295296296296296295294294294294294294294294293294294293293294294294295294294295294294294295294294294294295296295295295295295295296296296297297296297298298298298298299298299298298299299300299299299300300300300300300300300300300301300300302303302303303302302302302303303302302302303303303303303303304303304303303303303304304304304304304304304304305304305305305304304304304304304304304304305305305305305305306305305305305305305305305305305305305305305304304304304304305304305305305306306306306307306307307308308308308307307308308307308308308308307307308308309308309309309309309310310310311310311311310311310310310310310310310309310309309309309309310310310310310310309309309308309307307307307308308308308308308308307307308307307308308307308307307307306306307306305306305305305305306305304305304305305305305305305305305305305304305306306306305305305305305306304304305305305305305304305305305304304305304304305306306305304305305306306305304305305305304305305305306305305305305305306306304304306305305303303304303304303304304303304303303302303303303302302302302302302302303303302302302301301301301300300301301301301301301301301301301302302302302302302302302302303303303302302303302302302302302301301301301300300300300300299299300300299299299299298299298298298298298298297297296297297297297296297297297297298298297298297297297297297297297297297297297298298298298298298298298298299299299299298298299298298298297298298297297297297297297297296297297296296296296297296296296296295295295296295296296296295295295295295295295295295295294294294294294295294294294294294294295294294294294294294294294294294294294294294 999999999999303301296298297296296295295294295297298295295297296295296296295295295294293295293292292292290291293291294294293294292292292291291293291291292291290292291291291290291291291291291290289289288289288288288290289290291291292292293291291292291292291292293293292292291290288289289290291290290291291290290289289288288288289289290289289289289289288290290290289290291292291290290290290290289289289289289289288289290288288290289290290290291290291291291292291292291291292291291291290291291291292292292294293295294293295293294294294294292290293294294294294294294293292292294293293293293292293292293294293292294293294295293290291290292292292292291291295289290292292999999999299297297295999999297999999999295294295293292292290999999999999999999999999999999999999999999999999999999999999999999999999999295295296296295295294294294294294294293294293293293293293293293293294294294295295293294293294294294295294294295295295295295295295295296296296296296298298298298298298298299299299300299299300299299299299300300300300300300300300300301300301303302303303303303303302302303303302302302303303303303304304304304304304304304303304304304304304304304304305305304305305305304304305304304304304305304305305305305306306306306306305305305305306305305305305305305305304304304304304305305306306306307306307307307306307307307308308308307307308308308308308308308308307308308308309310309309310310311311311310311312311310311310310310310309310310310310309309309309309310310310310310309309309308308308308307307307308308308307308308306307307308308307308308307307307307307306307307306306306305305305306305305305304305305305305305305305305305304305304305305306305305305306305305305305305305305305305305305305304305305304304304305304305306304305305305305305305305305305304305305305306305305304305305304306305305304304305304303303304304303303304302304304302302302302302302302302302302302302302302302303302301302302301301300300300301301301300301301301301301302301302302302302302302302303302302302302302302302302302302302301301301301300300301300300300300300299299299299299299299298298298298298298298299297297297297296296297298298298298298298297297297297297297297297297298298298297298298298298298298298298298299299299299299299298298298298298298297297297297297297296296297296296296297296296296296296296296296296296296296295295295295296295295295295295294294294294294294295294295294294294294295295295294294294294295295294294295294294294 999999999999999301297298298298297294295296295296296294296296295297296297295296296295294294291292293292289289295294296294294294292292291290291292292292292291291291291291291292291290291291290290290289288289288292291289290291291291292293290292292292290291291291292291292291291290289289290290289289290291291289289289289289289290289290290290291289290289290290289290290290291292292291290290289290289289289289290289290290289290290290289290290291291291291291291293292293291291291291291291290291292291292292293294294295295294295293295296295294292294294294294294294294292293293294292290292293293293294293293293294294293293293293292291292291292292292289290291292287293294294999999298298295296294294298294293292999295296295295292292291999999999999999999999999999999999999999999999999999999999999999999999999999295295296296295295294295294294293293293294293294292293293293294294295295295295294294294295294294295295294294294294294294294294295296295296296297297298298297298298298299298299299299299299299300300300300300300300300300300300301301300301302999301303303303303302303302302302302302303303303303303304304303304304304304304304303304304305304304304304305304304304304304304305305305304304305305304305305305306305306306306305305305305305306306305305305305305305305304304304305305305305305306306306307307307307307307307307308308308308308308308308307308308308308308308308308309310310310310310311310311311311311310310310310310309310310310310310310309309309309310310310310310310309309309309308308308308308308308307308307307308307307307307307308306306307307307306305305306305306305305305305305306305305304304304304305305305305305305304305304306305305305305305306305305306305305305304305305305305305305304305304304304305305305306305305306306306306305306305306305305304305305305304304305305306306306305304304305304304304304304303303304303303303302302302302302302302302302302302302302302302302303302302303302301301301301302302301301301301301301301302302302302302303303303303303303303303302302302302302303303303303302301302301301301301301301301300300300300299300299299299299299299300300299298298297298297297297297298298297298298298297297297297297298297297297297298298298298297298299298298299298298299298299299299298298298299298298298298298297297297296296297297296297296296297296297297297296296296296296296296296296296295296295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295 999999999999999303301299298299297295295294296294295296296297296296297297296296297296295293294294294290296293295293293292294292292291291291291292290291292292292293292292292292292291292291291290291289290291291291292290290291291291293294292291293293293292291292291292292291290289290289289289289290290290290290290290290290291290289290291290291289291290290290290290290291291292292292291290290289289289289290291290289289288288289289290290290291291291291292292292292291291291292292294291291292292292292293294295295295294294294295295297295294294294294294293293294294294293294293291293292293292293294292294294295294293292295294293292294292293292293294291291292295294294999999999999297299300295999292293293292294295296294294291291291292999999999999999999999999999999999999999999999999999999999999999999999999294295296296295294295295295294294294294293293293293294294294294294294295295295294294294295295294295295294295295294294295295295295295296295296297297297297298298298298298299299298299298299299299300299300300301300300300301301301301300302303302302303303303303302302302302303303303303303304303304304304303303304304304304304304304304305305305305305305305305304304304304305305304304304305305304305305306306306306306306305305305305305306305305305305305306305305306305304306305305305305306306306306307306307306307307307307307307308308307307308308308308309309309309309309309310310310311311311310311312311311311312311310311309310310310310310310310309310310310311311311310310310309310309308308308309309308308307308308307306306307307306307307306306307307306306306306307307306305304305305306305304305305305305305305305306305305305304304305306306306306306305305306306305305305305305305306305305305305304304305305305305305305306306306307306306306306306305305306304304304304304304304304306306306304304306304304304303303305304302303303304303302302302302301302302301302302302302302302303302302302302303303302302302302302302302302301301301302302302302302302303303303303303303303303303303302302302302302303303303303303302302301302302302302302302302301300300300300299300299299300299301300299298298297297298297297297298298298299298299298298298298298298299299298298298298299298298299299299299299299299299299299299298299298298299299299298297298298298298297296298297297296296297297297297297297297296297296296296296296296295296296296296295295295295295295295295295295295295295295295295296296295295295295295295295295295295294295295 999999999999999304302300300299299298297295296297294297295296296297296296296295296296293293293292295294296293293291292292293292292292292291294294294293292292293293292292293292292291292291292291290290290290290291292291290291290292293294294293292293292293292292291292291291292290290290291290290291291290290290290290290291292290289290291290291290291291290291290290291290291292293292292291290288289289290289289289290288288289290289289289290289291291291292292292292293292292290291290291291293292292293294295296294294295999999296296297296296295294294294293293293294293293291293292292291292292293294293293294294294294295295294293293293294295294292293291288294296295293999999999296297293301293293292293292293295296295293293292292291292999999999999999999999999999999999999999999999291999999999999999999999999295296296296295294295294294294293294293293294292294294294294294294295295294294294294294294294294293294295295295295294295295296296296296296297297297297297298298298298299299299299299299299299299299300300301301300300300301301301301302302302302303303303303303303302302303303303303304304304304304304304304303304304305305304304305305305306305305305305305305305305305305305305304305304305305305306305306306306306306306305305306305305306306305305305305305305305305305305306306305306305306306306307307307307306307307307307307308307308308308308307308309309309310309310310309310310310311311311311311311311311311311310311310310310310310310311310310310310311311311311311311310310310310309309310310310309308308308308307307306306306306307307307307307306307307306307306306306306304304305305306306305306306305305305305305306305305306306305306307306306306306306306306307307306305306306306306306305305305305304306306306306306306306307307307306306306306306306305305305305305305306306306305307305305305305307304304304304304304304303304304303304302302302302302302302302301301302302302302302303303302303303303303303303303302302302302302302302302302303302303303303303303304303304304304303303303303302302302303303303303303302303302302302302303302302302301301301301301300299300300299299299299298298298298297298298298298298298299299299299299298298298298299299298298298298299299299298298299299299299299299298299299298298298298298298298298298298298298298298297297297297297296296297296296296297297297297297296296296296296296296296296296296296296296295295295296296296296295295296296296295296296296296296295295296295295295295294295295 999999999999301300302301300300299296296296296296296297296295296296296295295294293294292293292292294295293293293293292292292292291291294293292293294294294294292293293292293292293292292290291291290290289290289291291291290293291292293293293295294294293292292292291291292293292290291291291290290290289290291290291291290291292291291291290292291291292292291291291292291291292292293293290291290289289289289289289289289289288290289290290290290291290292291292292292292293292292292292291291292292292294294295295295294295295999296298296298297296296295295296295291293292295294293291293293293292292293294294294293295294295295295295295295293294295294293291291296295296291999999999297291295294296294293293293293294294292294292292290290289999999999999999999999999999999999999999999999999290289999999999999999999293295295295295295295295295294294294293294294294293295294294294295295295294294294293293293295295295294294293295294294296295295295296296296296297297297298298298298298299299299299299299299299299299299300300301301301301301301301301301303303302302303302303303304304303303303303304303304304304304304304303304305305305305305304304305305305305304305305305305305305306305305305305305305303304305305306306307307307307307307307307307307307307306306306307305306306306306306306306307306307306307307307307307307307307307307308308308308308308308308308308309309309309310310309310310310310311311311311311312312312311311311311311311311311311310311311311311311311311311312312311311310311310310309310310309309308308308308308307307307307307307307307307307307307307308307306306306305304305305306306306306305305305305305305305306306306306306306307307307306307306306306307307307307307306306306306306306305305305305305306305306306306306306306308307307306306306307306306306305305305306306306306306307305305305305305304304302304304304304304304304303304303302302301301302302301302303302302302303303303303303303303304303303303303303303303302302302302303303302303303303303303303303303303304304303303303303302302302302303303303303303303303302303303302303302302302301301301301300300300300301299300300299298298298298298298298298299298299299299298299298299299299300300299299299298299299299299298298299299299299300299299298299298298299299299299298298298298298298298298297297297297298297297297296297297297297296297296297297296297297297296296296296296296296296296296296296296296296296296297296296296296296296296296296296295295295295295295296 999999999999999999999299297299299298294293296294298296297295295294294294292293293293294294294295292294293293294294293292292295295293293292292294295294293293293293293292293293292292291291291290290290289288290290290291291292292291291293293293295295294291291289289291293292292291292292291290291291291291291292291291291291291291291290292292292293294292292292292293292293292292293293290290289288288288288289288288289288288290288289290291290291291292292292292293293292293294293294292292292291293295295296296295296297296297297297297298297297297296296297294293291295296294294292293293293293294294293294294294294293295293295294295293293295292292295292292292292291287999999999296295295294292291293292293289292293292291292290289289999999999999999999999999999999999999999999999999292999292293999999999999293293295295295294295294295295294294294294293294294294294295294295295295295294294293293293293294294295294295294295295295295296295295295296296296297297297298298298298298298299300299299299299299299300299300300300300301301301301301301301301302302303303303303303303304304303304304304303304304304304304304304305305305305305305304305305305306305305305305305306306306306305306305305305305305304305306306306307307307307308307308307308308308307306307307307306306306307307306306307307307307307307307307307307307307307308308308308307307307308308309308308309309309310310310310310311311311312311311311311311312311312311312311311311311311311311311311311311311311311311312312311311310310310310309309309309309308309309309308307307307308308308308308307307307307307307307306306307306306305306305306306306305305306305305305305306306307307307306307307307307306307306306307307307307307307307306306306306305305305306305306306306306306307307306309307307307306307307307306307306307305306306308307308308305306306305305305305304304305305304305304305304304303302302302302302302303303303303303303303303303304303303304304303303303303304303303303303303303303303303303303303303303303303303303304304304304304303303302302302302303303303303303302302303303302302302302302302301301301301300300300301301300300299298298298298298298299299299300298299299299299299299299299300300300300300300299299299299299299299299299299299299299298299299298298298298298299298298298298297297297297298297297298298297297297297296297297296296296297297297297297297296296296296296296296296296296296296297297297296297297297297297297296296297296297296296295295296295295296 999999999999999999999999298296295294295295297296299295297297296293293297297295295293296295295295296294294295296292293292293293292291292292292293294293293293293294293293292292292292291291291290290291289288290291290290292292292290292292292292294295293291292291292293293293292293292292291291292291291292291292292292292291291292292292292292293294294293293293293293293293293293293292291290289290289290289289289288288287289291289289289290291290291291292292292292294293292292293294294293292293294294296296297999298298298999297299299298297297298297296295295292294294296294292293293293292294294296294294295294295294296294295296294293294294293294292291292290287288288284999999293294296294292293293292292292291291291291291291290289999999999999999999999999999999999999999999999293291999293294999999999294293294296296295295294294295294295294294294293294294294294294294295295295294294293293294294294295295294294295295295294295295295295295295296296296297297298298298298298299298299300300300300300300300300300299300301301301302301301301300300301302303303304304303303303303304304304305304304304304305304305305305305304304305305305305306306305305306306306305306307307307306305306306305305305305305306306306307308308308308308307308307308308308308308308308307307307308307308307307307307307307307307308307307307307308308308308308309308308308309308308309309309309309310310310309310311311311312312312312312312312312311311311310311311311312311311311312312312311311311311311311311311311310310310309308309310309309309308308309308308308308308308308308308308307307307308307307306306306306305306306305306306306305305306305306306306306307307307307307307307307307307307307308307307307307307307307306306306306306306306307307307306306305307307307307307306306307307306308307307307309307307307308308307307305306306306306305305304304305305305304304304303304304301302302302303303303303302303303303303303303304303304304304304304304304303303304304303303303303303303303303303303303302303303304305305305305304304304303303302302302303303303303303303302302303302303302302302302302302302302302301302301301300299298298298298298299299299299299299299299299300299299299300300300300300300299300300299299299299300300299300299299298298298298298298298298298298298297298298298297297297298298298298298297297298298297297296296297297297297297297297297297297296296296297296296297296297297297298298297297297297297297298297296297297297297296296295296295296296 999999999999999999999999999999298297296999297298296296296298296296296296296296295295294294294296296296295295295294294294293292293293293294294294294292292292293293291291292291292292292291291290289289288288291290289290290291291291290291291292293293291291291290291292292291293292291291292292292291291292292292292292292292293293293292291292293293293293293292293292293293293292292292291291288289288291290288288288288289289290291289289290291291291290291291292292292294293293294294293293292295295295296296293999296297999999301299297299298299297297295295296295294295295293293292292293293294294294295295294295293292294293293294295295294294294293291289289287289289287284285288291293295294293292290291292290291290291290290290290290999999999999999999999999999999999999999999293293293293293294294999294294294295296295294294294294294295295294294294294294294294294294294294293293293294293293293294294294295293295295294295295295294294294294295295295297297297297297297298299299298299300299299299300300300300300300300301301301302302301301301301301302303303304303303303303304303304304305305304304304304304305305305305305304304304304304305305305305306306306306306306306306306305305305305305305305306306306306307307308308309308307308308309307308308308309307307308307307307307306307307307307307307306307307307308307307308308308309309308309309309309308308309309309310310310310309310311311311311311311311312312312312311311311310312311311312311311312312312311311311311311311311311311310310310310310309308309309308308308308308308308308309308308308307307308307306306307306306306306305306306306306306306306306305306306305305306307306307306306307308307307308307307307307308308307307307307307307307307307306306306307307307307306306305306307307308307307307307307308307308308999999308308307309308307305305306305306306305305305304304304306304303303303303303301302302302302303302303303303304303303304304304304304305305305304305304304303304304304304304304303303303304305303303303303303304305305305305304304304304303302302302302303303303303303302303303303303303302302302302303302303302302302301301300299299299298299300298299299299299300300300300300299300300300300300301301301300300300299299299299300300299299298298299298298298298299298299298298297298298298298298298298297298298298298298298298298297297297297297297297297296297297297296297296296296296297296296297297297297297297298297297297297297297297297296297297297295296296296296296297 999999999999999999999999999999999999999999999999299297296296297296295295297296294295294295294294295297296295296295294293294293293293293294294294293292291291292293292293293292291291292291291291289290289288289288289289290291290290289289292292292291293292291292292291292292292291291292292292292292291291292293292291291292292292292292292292292292293293292292292292292292292292291290290289288288289289289288288289290288290290290289289289290290291290290291291292292293293293293294292292292293293295294294999999298298999999301298298302298296296297296295296294292295293294293292292292293291293293294293294294292293294294293293294293294294290289287287288287286286286286287286288292293294293292290290290290290290290290290290290289999999999999999999999999999999999999999999294294294294294293293999296295295296296295294294294294295295295294295294295294295294295294294294294294294294294293293294295294294294295293295294295295294294294294295295295295296297297297298299298299299299299300299299300300301300301300301301301301301301301301301302302302303303304304304304304304303304304304305305304304305305305305305305305305305304304305305304305305305305305306306305305306306306305305305305305305306307306307307307308308309308308308308308307308309309308308307308307307307307307308308308308307307307307307306307308308309308308308308309308308308308308308309309309309309310310310310310311311312311311311312312312312311311310311311311311311311312312311311311311311312312311311311311311311310310310310308309309308308308308307308308308308308308308308308308306306307306306306306306306305306306305306306306306306306306305306307307307306306307307307307308308307308307308308308308308308307307307308308308307307307307307306306307306306306307307307307307307307307308307309309309308308308308309308307306305304305305305306305304304304304304303303303303302301302302302302302303303303302303304304304304305304304305304304304305305304304304304304304304304304305305305304304304304303303304304304305305305304304304304303302302301300300301302302302302303302302302302302303303303302302302302302302301301300299299300299299299299299299299299299300299299299299299300300300300301300301300300299299299299298299299299298298298298298298298298298297297297297297296296297297297297297297298298298297297297297297297296296296297297297297296297296296296296296295296296297296297297297297297297297297297297297297297297297297297297297297296296297296295296298 999999999999999999999999999999999999999999999999999297297293294295295296296294294296296295295296296296296295295294292292293294294294293292293293293292291291291293293293293292291292292292292292290289291289290290290289290291292291290291289293293293293293292292291291293292292291292292292291291292292292293294293293293293292292292292293293293292293293293293293292293293291292291290288288289289290288288288288289289288289289289289288288290290290290291291292292293293293293292293293291293293294295294295999999298999999999999299298300297299298298296294294293294294293294292292292294292292294292294293293293293292293295293294294292294293288289287288291287287285284999999999287294295296294291291291290290290291291291291291290289999999999999999999999999999999999999999999293293294293293292292999293294294295296295294293294294294295295295294294295294294294294293294294294294295294293294294294294294294294293293293294294294294294294294295295295295296297297297298299298299299299299299299299300300300300300300300300300300302301301301301302302302303303303304304304304303304304304305304304305305305305305306305305305305304305305304305305305305305305306306306305306306306306306305305305306306306307307307307308308308308308308308308308308308308308308307307308308308307307308308308306306307307307307307307308308307307307307308308308308308308308308308309309309309309310310310310310310311311311312312312312312311311311311311311310311311312311311311311311311311311311311311311310310310310310309309309308308308308308307307307308308308308307307307307307306306306306306306306306305306306306306305306306306306306306305306306306308306307307307307308308308308308308308308308308308308307307308308306308307307307306306306306307307307307307307307308308308307308308308309308307307307307308308308307306306306305305305305305304303303303302302303302302302302302302302302302302302302302303303304304304304304304304305304304304304304304303303304303303304304304304303302304304304303303303303304304304304303304304303302302301301300300300301301302302302302302302302302302302302302302302301302302302301300299299299299300300299300300299300299300299299299300300300300300301301301301300300300300300299299299300299298298298299298299298298299298297297297297297297297297298297297297298297297297297297297297297296296297297297297297296297296296296296296296296297297297297297298298298298298298298297298297298297298297297297297297296297296296296296298 300999999999999999999999999999999999999999999999999298299296293294295294295296295296295294295297296298297295294293293293294294294293293294293293294294294293292293293291292292291292292291293292290288289289290290290290292292291291292293292293293293294293292292292293293293292292292292292292292292292293294293293292292292292292293294293293293293292293292292292292293292292291290289288289290289290290290288287288288288288289289289289289290291290291292292292292293292293292292293293293295296295294294999999999999999999999999999999300298298297296296295295292293293293292292293293293293294294294294294294295294294294295294295295292291289287290289288289289289286285999999999289294296295294292291291291290290290291291291292291289288999999999999999999999999999999999999999999292294295294292291999293294294295295293293293294294294295295295294294294294294294294294294294294295295294295295294294294294294294293294293293294294294294294294294295295295295296297297298298298298298299299299299299299300300300300300300300301301301301301301302302302303303303303304304304304304304304305304305305305305305305305305305305305305305305305304304305305305305305305305306306306306306306305306306306306306306306307307307307308308308309308308308308308308308307309307308309309309308308308308307307306307307307307308308307307307307307307307307308308308308308308308308308308309309309309310310310311311311311311311312312311311311312311311311311311311311311311311311311311311311310310310310310310309309309309308308307307307307307307307306308308307307307307307306306306306305305306305306305305306306305305306306306306306306306305306306306307306306307306308307308308308308308308308308308308307307307307307306307307307307307307307307307307306307307307308308307308308309309309309308308307307307308308308307307306306306306305305304305304304304303303303304302302303302302303303302302303303303303304304304304305304305305305305305304303304304304304304304304304304304303304305305304304302303303304304304304304303304304303303302301301300300301301301302303302302302302302302302301302302302302301302302302302300300299299300300300300300300300300300300300299300300300300301301301301301301300300300300300300299299299299299299298299298298298298298298297297298297297298298298297297297297297297297297297297296297296296297297296297296296296296296296296296296296296297297297298298298298298298298298298297298298298298298298297297297297297297297297296296297 301999999999999999999999999999999999999999999999999999299295297297296297297297295296296295297296297299296296297294294295295295294293294293293294294294293294294293293293292293293291292292292291290289288290290289289292292292292293294293293292293294294292293293293292293293293293293292293293292293293293293293293293293293293293293293292292293292292293292292292293293292291291291290289290291289289290289288289289288288289289288288289290291291291292292293292292293294294292293293294295297297296296295999999999999999999999999999999999999296296298296295294294293294293294293293293293293293293294293293293296295295292295296295294290289287289290290291291289288289286999999290291294296296294292292291290290290291290291291292292290999999999999999999999999999999999999999999999999293293294293291999293294295296294295294294294294294295295295294294294294295294294295295294295295294295295295294293294294293294294294294293294294295294295294294295295295295296296297297298298299298299299299299299300300300300300301301300301301302302302302302302302303303303304304304304304304304304304305305305305306305305305305305305306305305305305305305305304305305305306306306307306306306306306306307306307306307307308307307307308308308308309308309308308308308307307307308308308308308308307308308307307307307308307308307307307307308307307307308308308308308308308308308308309308309309309310310311311312311311311311311311310311311312311311311311311311311311311311311311311311311310311311310310310309309309309308308307307307307308307308308307308308307307307306306306306305306306306305306305305306306306306306306306306306306306306306306306306306306307307307307307308308308308308308308307307307307307307307306307307307307307308308307307307307307307307307307308308307308308308309309308307306307307307306306306306306305306305304305305305305304304303303303303303303303303303303303303303303304304304304304304305305305305305305305304304304304303304304304304304305304304304304304305304303304304304304304304304303303304304303302302302301301301302301302303303302302302301302303302302302302302302302302302302301300300300300301301300300300300300300300300300301301300300300301301301301301300300300300300300299299300299299299299299298298298298298298297298297297297298298298298298298298297297297297297296296296296296296296296297296297296297297296297297296297297297298298298298298299299298298298298298299298298299298298298297297298297298298298296297297 301999999999999999999999999999999999999999999999999999999294297297296297296295298295296295294296297299298296295295294293294295292293294293294293293294293294294292291293294293293292292292291290290290290290289291290291291291291292292292294294294293293293292292292291292293293293293292293294293294296294293293292294293294293293293293292293293293292293293293294293293292291292290290289289291290289289289288289289289288289288288288290290290291292293292293293292292293294294293294295296298297297999999999999999999999999999999999999999999298295296295295294294295295295295294294294293295293293294294294295294296294294293294293289289288288291291291292292288287287286284288291293295295296294293292291291291291291291290291292292292291999999999999999999999999999999999999999999999293294294293292291293294295295294294293294294294295294294295295294295294295295295295294295295296295295295294294293293293293293293294293293293293294294294294294294295295295296296297297298298299299299299299299299299300299300300301300301301301301302302302302302303303304304303304304304304305305305305305305305305306306305305305305305305305305305304304305305304305306306306306306306306306307307307307307307307307307308308308308308309308308309309308309308308308307308307307308308308308307307308307307307307307307308307308307308308308308307307307308307307308308308308308308308308308308309309310310311311311311311311310311311311310311311311311311311311311311311311311311312311311311311311311310310310309309309308308307307307306307307307308308307308307307307307306306306306306305305305305305305305306306306306306307306307307306306306306307306306307307307307307308308307308308308307308307307307308307307307307306307307306307307307307307307307307307307306306307308309308308308308308308308307307307307307307307306306305306306305304305305305304305304303304304304304304304305304304304304304304304304304304305305304305305305305305305305306305304304304304304304304304304304304304304304304305304305304304303304303304304304303303303302301302302301301302302302303302301302302301302302301302302302301302303302302302300300300301301301300300300300300300300301301300301301300300301301300300300300300300300300300300300299300299300299298298298298298298298298298297297297298298298298298297298297297297297297296296296297296296297297297296297296296296296296296296297297297298298298298298298298298298298298298299299299299299299298297298298298298298297296296297 301301999999999999999999999999999999999999999999999999999999296298297297299297298299300298297295298298297295293293293292293294293294294294293293292293293293293293293293293292292292293292292288289289289291292291291290292292292293291294294293293292292293292292291293293293294294293293293293294294294293294294293293293293293292293293292292292293292293292293293293292291291290291290291291292290290290289290289289287287288288289289290290291291291294293293292293293294293295295296296298296296999999999999999999999999999999999999999999999295301298297295293293294294294295295293294293294294294295296295293295295292295295291289288288288288290290291292290286285284285289291293293294294294294291292292292292291291291291291292293293293292999999999999999999999999999999999999999999999293293293292292294294295295294293293294294294294295295294294295295295295295295295295296296296295295295294294293293293293293293294294293294293294294294294294294295295296296296297297297298299299299300299299300300300300300301300301301301301302302302302303302303303304304304304304304305305305305305305305305306305305306305305305305305305305305305304305304304305305306307306306306306307307307308307307308308307307307308308308309309309309309309310308309309308309309308308308307307307308307307308308307308308307308308308307308308308308308308307308308308308308308308308309308308308309309310310310311310311311311311311311311311311310311311311311311311311311311311311311311311311311311312311311310310309309308308308307307307307307307307307307308308307307307306306306306305306306306305306306306306306306306306307306306306307306307306306307306307306307307308308308307307307308308308308308307308307307307307307307306306307307307307308307308307307307307307306308308308308309309309308308309308307307307306307306306304305305305305304305304304305304304304304304304304304305305305305305304304304305305304305304304304305305305305305305305305305304304304303305304303304304304303304305304304305305304303303304304304304303303304304303302303302302301302302302303303302302302302301303302302303302301302302302302302302301301301301301301302301300300300301301300301301300300300300300300300300299300300300299299299300300299300299300299299299299298298298298298298297298297298297298298297297297297297297297297297296296296296296297295297297296296296297297297296297297297297298298298298298298298298298298298296299299299300299299298298298298298297297297296297299 301301301999999999999999999999999999999999999999999999999999999999999300301301300300300302300299297296298295293292293293293295295295295295294293293293294293295294292293293293292293291292292291291289290291293292292293293294293297295295294293293293294293293293293293293293293293293293293293294295294294293294295293293293293292293293293292292292292292294293293293292292293292292291292292291291291291291292290290290288289289289290290290290289290292292292294294293293294295295295297295296297999999999999999999999999999999999999999999292294303301297297297295295294295293292293294293292293294293293295294295296293292290289287289288284284285288289289286285285284287291291292292292292293293292293292292292292292291292292292292293293293292999999999999999999999999999999999999999999291292291291292293294294294293293294294294294294295295294294295295295295295295294295295295295295295294294293293293293293293293292293293293293293293293293294294295295295295296296296297298298298299299299300300299299300300300300301301301301302302302302303303303303303304304304305305305305305305305305305305305305305305306305305305305305305305305304304304304305305306306306306306306307308308307307308308309308307307308308308309309308309309309309308309309310309309308308308308308308308308308308308308308307307306308307307307308307307308307307307307307307307307308308308308308309309309309310310310310310310310310311310311311310310310310311311311311311311311311311311311311311311311311311310309309309308308308308308307307307307308307307307307307307307306306306306306305305306306305305305306306306306306307307306307306306306307307307307306307308308308307308308308308308308308308308307307307307307307306307306307307307307307308308307308308307307306307307307308308307309309309308308308308307307307306306306306305305305305305304305304303304304304303305304305304304305304305304304304304304304304305305305305305304305305305306304305304304304304303303304304304303304304304305304305304304304304304304304304304303304303303303303302303303302302302302302302302303302302302302302302302302302302302302302302302302301301301302302301302301300300300300300300300299299300300300300300300299300299300300300300300300299299299300299298298299298298298298298298297298298297298298298298298297297297297297296297296296296296295297297296297297296296296296296296297297297298298298298298298298298298298298298298298299299300300300299298298298298299298297297297297301 302302301999999999999999999999999999999999999999999999999999999999999999303302301301303301299299297297296293292293294295295296296296295295296294295295294293295292292293293292293292293292290290292289291291292293293294293295294294294295294293293293294293293293293292293293292292293294295295295295295294294295294294294293293292293292293292293293293294294293293294294294293293292292292292292293292291292292290288290289289290290290291290289289289292293294296294294294295295294296296295298999999999999999999999999999999999999999999999291296301302300299300297295296294294292294295295294294295295294296296295294291288287287287289288286282999289286287282281283287287291291291291291292292293293293291292292293293292292292292293292292292292291290999999999999999999290290999999999999290290290291292293294293293292293294293293294294295294294294295295295295294294294295295294294294294294293293293293293292292292292292293293293293293293294294294294294295295296296297297298298298299299299299299299299299300300300301301301301302301302302302303303303303304304304304304305305305305305305305305305305306305306305305305305305305305305304304304305304305306305306306306307307308308307307308308308307307307308308308308308309309309309309309309309309308308308307308308308309308309308308307307307307307307307307307307307306307307307307307307307308307307308308308308308308308309309309310310310310309310310310310309310310310310310310310311311310311311311311310311311311311311311311310310309308308308308308307307307307307307307307306306307306306306306305305306305305305306305305306306306306307307307307307307307307306307307307308308308308308308308308308309308308307308308308307307307307307307306307307306306307307307307307307307307307306307307307308308308307308308308307307307306306306306305306306306305305305305305305304304303304304305304305305305306306305304305304304303305304304305305305305305304305304305304305305304303304304304303304304304304304304304305305305305304304303303303304304304304303304303303303303302303302302303303301302303303303303303302302302302302302302302301301302302302301302302302302302302303302300300300300301301301300299300300301300300300299300300300301300300300300300299299299299299299299298299298298298299298298298298299299299298298297298297298298297297297298297297297299298298298298297297297297297298297298298298298298298299299298298298299299299298299299299299299300298299298299298298298298299299298300 302302301301999999999999999999999999999999999999999999999999999999999999301301300300301298298297297296295294292293294295296296296295296296296294295293294294293293293293293293293293291291290292292290290291292291292294292292291294294293293293292292293292292293292293293292292292293293294294294294294293293294294293293293292292292293293292293293293294294294293293293293292293292292292292292293291292291291290288290289289290291290289290289291292292295296295294293296298296296297296297299999999999999999999999999999999999999999999999999298300999300302302299297296294294294295295296294294294295295294293293288285286287288289289288284999999999999999286285287291292292292291291291292292292292293293293293293293293292293293293292293292292292293292292999999999999290290999999999999289291291292293293294293293294294294294294294294295294295294295295295295294295295295295295295294293294293293293292292293293292292292293293293293293293293294294294295295295296297297297298298298299299299299299299300299300300301301301301301302301302303302303303303304304304305304305305305305306305305304305305305305305305305305305305305305305305304305305305305306306305306306306307307308308308307307307308307307307308309308308308309309309309309309309309309308308307307308307308308308308307307307308307307307307307307307308308307307307307306306307307307308307308308308308308308308309309309310309309310310310310310310309310310310310310310310310311311311311311311310311311311311311311310310309309309308308307307307307307307307307306306306306307306306306305305305306306305306306306306306306306306307307308308308307308308307307308308308308308308308308308308308308308308308309308308308308307307307307307307307307307307307308307307307308308307307307307308309308308308308309308308307306307307306306306306306306306306306305305305305305304304305306305305306306306305305304306305305305305304304305305305305305305305305305305305305305304305305304304304304305304304305305306306305305305305305304304305305304303305304303304304304303304303303304304302303304304303303302303302302303302302302301302302302302303302302302302303302302303303301300300301301301301301300300300301300300300300301301301301301300300300300300300300299299299298298299298299299299299299298299299299298298299298298298297297298297297297297297298298298298298298298298297298297297298298297298297298298298298298298298298298298298298299299299299299298298299297298298298298298298298300 302302302302999999999999999999999999999999999999999999999999999999999999999302300300300301297298297297296295293295295296296296297295296296294295294294294293293293293293294293293294293292292294293293293293293294292292293291292294293293293292293294293292293293293292292292293293293293294294294293293294293294294294293292293292292293293292293293293293293293293292294293293293292292292293292291292291291290289289290289290291291291289289289290291291295294294293294296296296297296297298999999999999999999999999999999999999999999999999999999999999999303301299295294295296296296296295295295294293293291289289287286288287289291291287283290279285291292292292293293295295294293293291292292293292294293294294293292293293294294293292292292292292292292292291290289288285999999999999290290291292292292294294294293293293293294295295294295295294294295295295295294295295295295295294294293294293293293293292293292293292293293293293293293293294294294294295295295296297297298298299299298299299299299299300300300301301301301301302302302303303303303303304304304304305305306306306305306306306305305306305305306305306306306306305305305305305305306306306306306306307307306307308308308309309308308308308307308309309309308309309309309309310310309309308308308308308308308308308308309308308307308308308307307307307307308307307308308308307307307307307307308308308308308308308308308308308309310309310310310310311310310310310310310310310310311311311311311311311311311311311311311310310310309309309309308308308307307307307307307306306306306306306306306306305306306306306306306306306306306307307307308308308308308308308308309309309309309309309308308309309308309309308308309308308308308308307307307308308308308307307308308308307307308308308307307308309310309308309308308308308307307307307307306307306307306306306306306305305305305304305306305305306307306306306306305305305305306305304304305305306305305305305305305305305305304304305304304305304304305304305305305305306306306305305304304304303303303303304303303303303303303303304305304303303302303304302302302302303303302302302302302301302302302302301302302302302302302301301300300300300301300300300300300300300300300300301300300300300300300300300300300300300299299299299298298299299299299299299299299299299298298298298298298298297298297297297297296298298298297296296297297297297298298297297297298298298298298298298298299297298299298299299300299299299298298298298297298298298299299299301 302302302302999999999999999999999999999999999999999999999999999999999999999999302300298296299298299298295294293295296295296295295295296295294294293293294294293293294292292292294292293292294294293293294294293294295293294293293294293293292292292293293293292292293292292292293293293293294293293294293294293294293293293292292293293292293292292292293293293294293293294294294292293293293293291291291291289290290290290289290290291292290292291291291295294293294294295294296296296299299999999999999999999999999999999999999999999999999999999999999300303298999999295294296296297296296295293295293290290290292290289288289289290292292288285281282288292294294295294295294294295295294293293293293294294293293293293294293293295292293292292291292292291292291291291290289287999999999290290291291292293293294293293293293293293294294295294294295295294294295295295294295295295294294293293294294294293293293293292292292292292292293293293293293293294294294294295296296297297297298299299298299299299299299300300300300301301301301302302302302302302303303304304304304305305306306306305306306306306306306305306305306305305305305305305305305305306306306306306306306306307307307307308308309309308309309309308308309310309308309309310309309309309309309308308308308308308308308308309308308307307308308308308307308308307307307307307307307307306306306307307307307307308308308308308308308308308309309309309310310310310310310310310310310310310310311311311311311311311311311311310310310310310309309308308307307307306307307307307307306306306306306306306306305305305305305305305306306306307307307307307307308308308308308308308308308309308309309309308308309309308308308308308308308308308308308308307308308308308308307307307307307308307308307307307308308308309309308308308308307308307307307306306306307306306306307307306306305305305305305304305306306305306306306306305307305305306306305306306305305305305305305305305305305304304305305304304305304304304305305305305305305305305305305304303304304304303304303303303303303303303303303305305305304303302303303303303303302303303303303302303302302303302302302302302302302302301302302301301301300301301301301301301301301301300300300300300301300300300300300300300300301300300300300299298299299299299299299299299299299298299299298298298298298298297298297297296297298298298297297297296297297297297298298298298298298298298297298298298298298299298299298299298298299298298299299298298299298299299299299301 303302302302999999999999999999999999999999999999999999999999999999999999999999999301297299298299298299295291293295294296296297297293295294295292294293293294293294294294294293293292292291293293293293294294294293293293295293294293294293293292292292293293293293293292292292293293293293294294293294295294294294293293293293293294293293293292293293294292293293293293294294293292291292292292292290290291289290289290289289290291291292291291291291292294294295294296296295294294295296300999999999999999999999999999999999999999999999999999999999999999999999999999999999294297296294296294294294292292291292292292291290291289290291290287283281289294295295295295295295295295295295294294294293292293292293293293293293294293294293294293293292292291292291291290291291290290289999292291291291292293293293292293293293293293294294295295294294295295295295295295295295295295294294294294294294294294293293293293293292292292292293293293293293293293293294294294295296296297298298298299299298299299299299299299300300301301301301301302302302303303303303303304304304305305306306306306306306306306306306305306306305306305305305306305305305305305305306306306306306307307308308307307308308309309309309309309309308308309309309309309310310309309309309309309308309309309308309308308309308308308308309308308308308308308307307307307307307307307307307307307307307308308308308308308308308308308308309309309309310310310310311310310310310310310311311311311311311311311311310310310311310310310310309309309308308307307307307307307307307306307307306307307307306305305305305305306306306307307307307307307308308309308308308308309308309309309309310309310309308309308308308308308308308308308308308309308308308308308308308308308308307307308308308307308308308308308308309309308309309308308307307307307307308306306306307308306306305306306306304305304305306306305305306306306306305305305306306306306306306306306305305306305306305305305305305305304305305305304305304304304305305305305305305304303304304304303304303304303303303303303304304304305305304302303304304303303303302302303302302302302301302302303302302302302302302302302302302301302300301301301301301301301300301300301301301301301301301300300301300300300300300301300299299299299299299299299299299300300300300299299299299298298299299299298298297297297297298299297298297298297297297298298298299299298298299298299299298298299299299299299298298298298298298298298298298300299299298300299299299299302 304303303305999999999999999999999999999999999999999999999999999999999999999999999999999297296298297297294292293294296296297298296293295295295294293294294295295295295295295295294292292294293293293292291293294293294294295294294293293292293293292293293293292292292292293293294293293293294294294294294294293293293294293292294293293293293292293294294293294293293294294295294292292292291291291291291291290290289290289290291291291292290293292291292295295296294292294293290293295298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296295296295294294294293292293293293292292292291289288286285290286292294295295295294295294295295295295295294294294293292292293293292292292293294294292294293293292291291290292291291291291290290289290291292293292292293293293293293293292292293293294294294294294295294295295295295295295295295294294293294294294294294294294294293293293293293293293293293293293293293293294294294295296296297298298298298299299298299299299299299300300300301301301301302302302302303303303304304304304305305305305305306306306305305306306306306306306306305305305306306305305305305305306305305306306307307307308308308307308308308309309309309309309308308309309309310310310309309309309309309309308309308309308308309309309309309309309309309308308307307307307307307307307307307307308307307307308308308308308308308308308308308309309309309310310310310310310310310310310310310311311311311311311310311310310310310310310310310310309309308308307307307307307307307307306306306306307307307307306306305306306306306306306307307307307307307308308308308308308308308309309309309309309308308309309308307307308308308307308308308308308308308308308308308307308308308308308308307308308308308308308308308309308308309308309308308308307307306306307307306306306306306306305305306306305304306306305305306306305306305306306306306306306305306306305306305305305307307306306305305304305304305305304304304304305304303305305304304304304304304303303304304304303304303302302303304304304304304302305303303304303303303302302303302303303302302301302302301301302302301302303302302302302302301301300301301301301301301300301301301300301301301301301301301301300300300300301301300300300300299299299299299299299300300300300299299300300299299299299299299298298297298297299299297297297299297298298298298298298299298298298298299298298299300300299299299299298298298298298299299298299299299299299299299299299299302 303302999302999999999999999999999999999999999999999999999999999999999999999999999999999999300300300298295293295295297297299298297297298297297295295294295294294294295293294294293292293292294294294294293294294294293294294294294294293293292293292293293293293292293293293293294293294294294294294294294294293293293294294294294294292293294293294294294295294295294295295296295293292292293292292291290291291291291292291291292291292293291294295294293296295294293293293292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297293292294293294294294293293293293291289288284285289290292293294295295295295295295295295295296295295295294294293294293293293293293292293294294293291290290292292291291292291291291290290290290288292292293293292293293293293292292293293294294294294294294295295295295295295295295295295294294294293294294294294294294293293293293293294294293293293293293293293293294294294294295296296297298299299299299299299299299299300300300300300300301301301302302302302303303304304305305305305305305305306306305305305306306306306306306306306306306306306305305305305305306306306306306307307307307307308308308308309309309308309309309309309309309310309309308308309309309308309309308308309309309309309309309309309308309309308308308308308307308308307308308307307307307308307307307307308308307307307308308308308308309309309309310310310310310310310310310310310310311311311311311310310310310310310310310310310309309308308308308307307307307307307307307307307307308307307307306306306306306307307306307307307308308308308308308308308308308308308308308308309309309308310309308308309308308307308308308308308308308308308308309308308308309308309309308308308308309308309309308308308308309309309309309309308308307307306307307307306306306306305305306305305306306306306306305305306305305305305305306306306306306306306306306306306306306306306306305305305306304305304305304304304304305305304304304304304304304304304304304303304303303303303303303303303303304304304305304303302302303304303303302302303303303302302301302302301301301303302302302302302302302303302302302302302302302301301301302301301301301301301301301301301301301301300300300301301301300300300300300300300300300300301300300299298300300300300300300299299299299298300299298298299299298298298298300299299299299299299300299300299299299299300301299299299300300299300299299300299300300300300300300299300300300299301 302302999307999999999999999999999999999999999999999999999999999999999999999999999999999999999299297296293291291292295296296297298298298297295293295294294294294294295294293292292293294293294293294294293293293293292293294293293293292292292292292293293293293293292293293292292293294294294293294293294294293292293294294293294293293295293293294295294296297295295295295295295294293293293293292292292290291291291291292292293292292294295294296295295296296292294293294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293293294295294293293292291291287287285287291293294296296296296295296295295295296296296296296296296295294294295293294294295294295294292293293291292291291292291292291291290291291289290291293293293294294293293293293293293294294294294294294294295295295295296296295296296296295295295294294295295295295294294294294294294294294294294294294293293293294293294294294294295296297298298298299299299299299300299300300300300301301301301301302302302303303304304304305304305306306305306306306306306306305306306306306307306306306307307306306306305306306306306306306306306307307307307307308308308308308308309309309309308309309309309309309308308309309309309309309310309309309309309308309309309309308309309309308308308308308308307307308308307307307307307307308308308307308308308308308308308308308309309309309310310310310310310310310310310310310310311311311311310310310310310310310310310310309309309308308308308308308308307307307307307307307307308307307307307307307306307307307307307307307308308308308307308308308308308309309309309309309309309308309309308309309308308308308308308308309309308308308308308308308309310309309310308309309309309309308308308309308308309309308309309309309308308307307307308308307307307306306305306306307306306306306306305305305306306306306307306307307306306307306307306305307307307307307306306306305305305304305305305305305305305305305305305305305305304304304304304304304304303304304303303305304304304304305305305303303303304304303303303304304304303303303302302302302302302302302302303303303303303303303302302302301302301302301301301301302302301302302302303302302302301301301301301301301301300301300301301300300300300300301301300300299300300300300299299299299299299298299299299299299299299299299299299299298299300299299299298298298299300299300299299300300300300299300299299300300300302299299299299299299300299298300 302303304303999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295294292294293294295298297298298297296296295295293293294294294294294293292292294293293295293294293293293292293293293294293293292292294293290292292292292292292292292293293293293293293293293293293293293292293293293293293293292292294294294294294296295295296295295294294294293292292292291292291291290290291290291291293291292292293294294294294293292292293293292296294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292293294295294293292290999293290289288289292295296296296295295295295295295296296296298296296295295295294294294295294294294295292291291292292292291291291291291292291290290291291291291293293293293293292293293293293293293293293294294294294294295295294295296296296296295295295295295295295295295295294294295295295295294295294295295295294294294294294295294294295295296296297298299298298299299300300300300300300301300302301301302302302302303303303304304304304305305306306306306306306306306306306307306307307307307307307307307306306306306306307307307306307307307307307308308308308308308308308308308309309309308309309310309308309309309309309309309309310310309309309310309309309309310310310310309309309308309308308308307307308308307307307307307307307308308308308308308308309308308309309309309310310310310310310310311310310310311311310310311311310311310310310311311310310310310310309309309309308309308308308308308307307307307307307307307308308307307308307307308307307307307308308308308309308308308309309309309309309309309309309309308309308309308308309308309308308308308308308308309309309308309308309310310309308309309308309309309309309309309309308308309308309308309308308308308307307307307307307307306307307306307306306305306306306306305305306306305306306307306306307307307307306306305306306306307306306306306306306306305305305305305305305305305305306304304305304304305303304304304303303303303304303304303303304304304304305303303303303303302304304303302302302303303302303302301302302301302302301301302303302303302302302302302302302302302302301301301301302301301302302302302302301301301301301301301301301300301301300300300300300300300300300300299300300300300300300299299298298299298299298299299299299299299299299299299298299299298298298298299299299299299299299299299299299299300299300299300300300299300299299300299299299299298298299 301303302304999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297295293294290293294297297299298297297295295295293294293295295294293293294294294294295294294293294295294292291293292293293294293292292291291292293292292292292293292293293293293293293293293294293292293292292293293293294294293293293294295295295296295296295296295295293294293293292290291291291290289290290290290291291292292293293294294293292292291291293294296296296293291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290293294295295294291999295296297294296295296296295296296295295295295294295295296295296296296296295295295293293294294293293295294293292291292291291291291292292292291292291290291291291292293293293293292291292292292293293293293293294294294294294295295295295296295295295295295295295295295295294294294294294295295294295294294294294294294294294294294294295295294295295296296297298298298298298299299300299299300300301300301301301301301301302302303303303303304304305305305305305305305306306307306307307307307307307306306307306306306306306306306307306306306306307307307307307307307308308308308308308308308308309308309310309308308308309309308309309309309309309309309309309309309310309310309310310309309309308308309308307307307307307307307306307307307307307307307307307308308308308308309309309309309309310310310310310310310310310310310310310310310310310310309310310310310310310310310309309309309308309308308308308308307307307307307307308307307308308308308307307308307308308308308308308308308308308308309309309309309309309309309308308308308308308308308308308308308308308308308308308309309308309309308308309309309308308309308308309309309309309309308308309309309308308308308308308307307307308307307307307307307307307307307306304306306305305305305305306305306307306306306306306307307306306305305306305306305306306306305305305305305304304305305305305305305305305304305304304305304304303303303304304303303303303304304304304304304305303302304303304303304303303303302301303303304303302302302302302302302302302302302303302302302303302302302301301301302300301301301301302301301301301301302301301301300301301301301301301301301300300300299299300300300300300299300299300299299299299299299299299299299299299299299298299299299298298298298299299298297298299299299299299298298298299299299299299299299299299300299299298298299299299298298299299299299299 301302301304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294293293293293295297299300299298297297295295294295294294294294293294292294294293294294295294293293294293293293293292294294293292292293293293293293293292293292293292292293293293293293293294294293293293293293293293293293294293293294295295296295296295295296295295294294293292291290290291290290289289289290290292294292293293294293294295293292292292293293295294296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291291292294295295294292294295293296296297297296296296296296295295295295295295295295295296295295294293294293293294293293293293294293293291290292291291291292292292292291292292291291291292292292292292292291291291292292293293293294294294294294294294294295295295295295295295295295295295295295294294294294294295295295295295295295294294294294294294295294294294294294295295296296296297298298298298299299300300300300300300300300300301301301302302302303303304303304305305305305305305305306306306306307307307307308307307306307306306306306305306306306306306306306307307307307307307307307308308308308308308308307308308308308309308308308308309309308309309309309309309309309309309309309309309309309309309309309309309308308308307307307306307307306306307306307307306307307306307307307308308308308308309309309309309309309309310310310309310309309310309309309309309310309310310310310310310310310310309309309309309308308308308308308307307307308307308307308307308308308308308308308308308308308308308308307308308308309309309309309308309309309309308308308308308308308308308309308308308308308308308308308308308309308308309309308308308308308309309309309309309309308308308308309308308308308308308308307307308308307307307308307307307306306307305306305305306306306306306306306306306306306306306306307306305305306305305305305306306305305305305305305305305305305306305305305305305305305305305305305304304303303304304304304304304304304304304304304305305304305304303304304303303304305303303303303302302302302302302302302302302302301302301301302302301301301300301301301301302301301301301301301301301301301301301301302301301301301301301301300300300300300300300300300300299300300300300300299299299299299299299299299299298299299299299299298298299298298299299298298299299299298299298298298298298298299298299299298298298299300299298299299299299299299298298298298299 300301302303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292290291293293295296298300298297297296295294295295294294294294294293294294294295295294294292294294293293292292293293294294294292292293293294294294294293293292293293293293293293293293294294293293293293293292294294294293293293293294295295295294294295295295294294295295293291290290290290290289288289290290291292294294294293294294295295295294292999999297296292295999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296296999999293293292292292292293293296296293292295296297297297297297297296296296295295295295295295295295296295295294295294295294294293293294292293292293292292293292292291292291291291292293292292291292292292293292292292291292291292291292292293293293294294294294294294295295295295295295295295295295296295295295295295294294294295295295295295295295295294294294294294295294295294294294294294295296296296297298298298298298299299299299300300300299300300300301301302302302303303304304304304304305305305305305305306306306306306307307307307306306306306306306306306306306306306306306306306307307306307306306307307308307307307308308308308307308308309308309309309309309308309309308309309309309309308309309309309309309309309309309308308308308308307307307307306306306307307307307307307306306307307307307307307308308308308309309309309309309309309310310310310310309309310309310309309309309309310310310310310310310310309309309309309309308308308308308308308308307308308308308307308307308308308308308308308308308308308308308308308308309309309309309309309308308309309309309308308308308308308309308308308308308308308308308308308309309308308309309309309308308309309310309309309309309308308308308308308308308308308308308308308307307307308307307307307306306306306306306306305306306306307306306306306306306305306306306306306306305306306305305305306306305305305305305305305305306305306306306306305305305305305305305305304304304304304304304304304304304305304305303304305304305305304304303304303303302303303303303303303302302302302302302301302302301302302301301302301302302302302301301302302302301301301301302302302301301302302301301301302302301302301301301301300300301301300300300301300300300300300300300299299299299299299299298298298298299299299299298298299299298298298298298298298299299298298298299298298298298298298298298299299299300300300299299299299299299299299298298297299 301301303304305309999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290291292293295296298298296298297297295295296295294293293293294293294295295295295292291292293294294294292293293293294295294293293293293293294295294294294293294294294292292293293294293294294294293293293293294293293293293292293294295295295294295295295296295295296295294291291291292290290288289288290289290292294294294294294294293295295294999999999293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294297295295295294294294293293292297294296297296296296296298297297297297297296296295296295295296296296295295296296296295295294295294294293294293294293293291291291293292292292293291290292292292292291292292292293293292292292292292291292292293292292293294294294295294294294295294295295295295295295295295295295295295295295295295294295296296295295295295295294294294295295295295295294294294294294295295296296298298299299299298299299299299300300300300300301301301301302302302302304304304305305304306305305305305305305305305305306306306306306306306305305306306306306306306306306306307307306306306306306306306307307307308308308308308308308308308309309309309309308308308308309309308309309309308308309309309309308309309309309308308308308308308308307307307307307307307307307307307307307306306307307307307307307308308308308309309309309309309309309309309310309309309309309309309309309309309309310310310310310310310310309309309309309308309309308308308308308308308307308308308308308308308308308308309309309309309308308309308308308308309309309308309309308308308309309309309308308308308309309309309308308309308308308307309309309309309308309309309309308308309309309310309310309309309308307308308308308308309309309309308308308308308308308307308308308307306306307307306306306307306306307306306306306306306306305306306306306306305306306305305306306305305305305305305305305305306306306306305305306305305305305305305305305305304304304305304304304305304304305304305305305305305305305304304304303303303302303303303303302303303302302302302302302302302303302302302301301302302302302302302302303302302301301301302302302302302302302302302302302302302302302302302301301301300301301301300301301301301300299299300299299299299299299298298299299299299299299299299299298298298298297297298298298298299298299298298298298299298298298298298299299300300300299300300300299299299299298298297297299 300301304307306308999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289291291293295297298298298298297296295295295294294293294293294293294294295295294294293293293294294293293294294294294294293294293293292294294295295294295294293294294294294293294294293294294294293294293293294294294294294294294295295296296297296296295296296295296294292292292291291290290290287290290291290293296293295294294298299300303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296296296297295294294294292293297295297298298297298298298298298297297296295295295295295295295295295296296296296296295295295295295293294294293293293293291291291292292292292292291292292292292292293292292292293292292292292292292293292292293293293294294294294295295294294294295295294294295295295295294295295295295295295295294294295295295295295295295295295295295295295295296295295295294294294294295296296298298299299299299299300300300300300300300300300301301301302302302302303304304305305305305305305304305305305304305305306306306306306306306305306306306306306306306306307306306307307306306306306306306307307308308308308308308309308309309309309309309309309309309308308309308308308308308308309309309309308308309309308308308308308308308308308307307307307307307307307307307306307307307307307307307307308308308308308309309309309309309309309309309309309309309309309309309309310309309309309310310310310310310310310310310309309309309309308308308308308308308308308308308308308308308309309309309309309309309308308309309308308309308308309308308309308308309309309309309309309308309309309309309308308308309308308308309309309309308308309309309308309309309309310310309309309308308308307308308308308309309309308308309309308309308308307307308308308308308308307307307307307307306307306306306307307306306306306306306306306305305306305306305305306305306305305305305305305305306306307306305306305306305305306305305305305305305305305306305305305305305306306305305305305305304305305304304304304303303303303303303302302302302302302302303302302302301302302302302302302301302301302302301301301302302302302301302302302302301302302302302302303301302302302302302301301301301301301301301301301301301301300301300300299299299299299298298298299299299299299299299298298298298299298298298298298298298298299299298298298299299299299299299299299299299299299299299299299299299298298298297297299 300302301304306307999999999999999999999999999999999999999999999999999999999999999999999999999999999999287290291292293295295297298298298298297296296296294294292293293294294295295294294293294293293293292292293294293294294293293293293294293294294296296296296295295295295295295294293294294293293294294294294294294294293294293294294294295296297297296296296296297297297295295293293290292290287287288288290291293294294296297294293294299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295296296296294294294292292298296296297297297297298297298297297297296295295295295295295295296296296296296297296295295295295294293294293293293293292291292291292292292292292292291293292292292292293292292292292291292292292292292293292293293293293293294294294295294293294295294294294295294295295294295295294295294294294294294295295294294295295295295295295295295295295295295295295295294294295295296296297298299298298299299299299299300300300300300300300301301302302302302303303303304304304305305305305304304304305305305305306305305305305306305306306305306306306306306306306306306307307306307307307307307307307307308308308309309309309309309309308308309309309308308309308308309308308309308308309309308308307308308308308308308308307307308307307307307307306307307306306306307307307306307307307307307308308308308308308308309308308309309309309308309309309309309309309309309309309309309309309310310310310310310310310309309309308309308309308308308308308308308308308308308309309308309309309309309309309309309309309309308309309308309308308309309309309308308309309309309309309309309309309308308308308308308308308308308309308308309309309308308308309309309309309309309308308308308308307308308308309309308309309309308308309308308307308307308307308308308308308308307307307307306306306307306306307306306306306306305305305305306305305305305305305305305305305305305306305306305306306306306305305306305305305305305305305305305305305305305305305305305306305305305305305304305305304304303304304303304303303302302303302303302302302302302302301301302303302302302302302302302302302301301302302302302301302302302302301301301301302302302302302301302302302302302302301302301302301301301301300301301301300300302300299299300298299299299299299299299299299298298298298298298298298298298298299298299298298298298298298299300299299299299299299299299299299299299298299298298297297297297297 300303302303305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290292293293295294296298298297296297297295295295294293294294294293294294294293294293293294293294294295294294294293293292293293293294294295296296296295295295295295294294294294294294294294295294293294294295295294295295295294295296296297297296296297296296296296295295294292293290289290290289290291292296293295296294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295294295294294293294296295297297298298298297297297297297297296295294295295294295295296296295295295296295296296295295294295294293292292292292292293292292293292293293292292292292292292292293292292292292292292292291292293293293292293293293293293293293294294294294294294294294294294294294294294294294294294293294294294294294294295295295295295295295295295295296296295295295295294295295295295296297298299298298299299299299299300300300300300300301301301302302302303303303303303304304304305304305304304305305305305305305305305305305305305305306306306306306306306306306306307307307307307307307307307306307307307308309308309309308309308308308308309308308309309308308308308308309309309308308308307307307308308308308308308308307307307307307307307307306306306306306306306306306306306306307307307307307308308308308308308308308308308309308308309309309308309308309309309309309309309309309310310310309309309309309309309308309309308309308308308308308308308308308308308309309308309309309309309308308309309309309309309309309308308308308308309308309309309309309309309309309309309309308307307308308308308308308310309310308308309308308308308309308309309309309309308308309308308308307307307308308308309308308308308308309308308308307307307308308308307307308308308308307306306306306307307307307307306307306306305305305305305305305305305305305305306305305305305305306305305306306306306305306306306305306306305305305306305305305305305306305306305306306306305305305304304304304303304304303303303303303302303303303303303302302302302301302302302302302303303303303303302303303303302302302302302302302302302302302301301301302302302302302303302303302302303302302302302302301301301301301301301301300300300301300300300300299300300300299299300300299299299299298297297297297299300298298298298297298298298299298300300300299299299300299300300299299299299299299298298298298297297298 301303303304304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290292292294294295296297296297297297297296294295295295295294292293293294294295294293293294294294294295294294294294293292293292294294294295295295295295295295295295294294294293293294294293295294294294294294295295294294293293295295295296296297296297296296295296295296296294293291292290292291292293293293293294296295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300295294295294294294296298297297298298298298297297297297296296296295295295295295294295295295295295295296296296295296295294294293292292293293292292292292293293293293293292293293292292293292292292292293293292292292293292293293293293293293293292999293294294293294294294294293294294294294294294294294294293294294294294294295295295295296296295296296296295296296296296296295295295295295296295296297298298298298299299299300299300300301301301301301302302302302303303303303303304303304304304304305305305304304305305305305305305305305305305305305305305306306306306307306306306307306307307307306307306307307307308308308308308309308309308309309308308309308309309309308308308308309309309308308308307308308308307308308308308308307307307307307307307307307307307307306306307306306306307306307307307307307307308308308308308308307307308308309308309309309308309309309309309309309309309309310310310310310309309309309309309309309309309308309308308309308308308309309309309309309309309309309309309309309309309309309309309309309308308308309309309309309309309309309309309309309309309309308308308308308308308309309310310309309309309308308309309309309309309309309308308308309308308308308308308308308308308308308309309310310308308308308308308308308309309308308308308308307307307307306307307307307307307307306306306305305306306305306306306305306305305305306305306306306306306306306305305306306306306306306306306306306306306305306306306306306306306306305306306306305304304304304303304303304304304303303303303303303303303303302302302301303302302302302302303303303303302303302302302303302303302302302302302302301302302302302302302303302303302302302302302302302303302302302302302302301301301301301301301301301301300300301300300300300299300300300299299299299298297298297297299298298298298298298298298298298299299298299298299299299300299299299299298298298298298297297297296298 303304305305304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292293294295296297297297298297296295294294295294295294294294293294295294294294294295294294293293295294294295293294294295295295294295295295295294295295295295295294294294294294294294294294294294294294295294293293294293294295296296296296296297297296295295296296294293293289292294293293294293293293293293294286294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999999999999999999999999297299295292294295295295297298298298298297297298297297297296296295295294294294294294295294295295295295295295295295296295294294293293292292293293292293293293293293293293293293293292292293292292292292292292292292293292293293293293293293293293293293999293293293293293293293293293293294293293293293294293293294293293294294295295295296296295295296296295296296296297297296296296296296296296296296296297297298298298298299299299299300300301301302302302302302302302302303303304303304304304304305305305305305304304304304304304304305305305305306306305305306306306306306306306306307307307307307307306306306307307307308308308308308308308308308309308309309309309308309309309309308309309308308308308308308308307308308308308308307307307307306307307306307307307307306307306306306306306306306306306306306307307307307307308308308308308307308308308308308308308308309309309309309309309309309309309309309309309309309309309309309309309308308308308309309308308308308309309308309309309309309308308308308308309309309309309309308309308308308308308308308309309309309309309309309309309309309308308308308308308309309309309309309309308308308308307308308308308309309309309308308308308308308308308308308308308308308308309309310310310308308308308308308308308307309309308308308308307307307307307307307307307307307307306306305305305306305306305305305305306306305306306305306305305307306306306306306306306306306306306306306306306306306306306305306306306306305305306306306305304304304304304303304304303304303304303302303303303304303303302302302302302302302302302302302303303303302303303303302302302303303302302302302301302302302302302302302303302302302303303303302302303302302302303302302302301301301301301300301300300300300300300300300300300300299299300299299299298297297298298298299298298298298298298298298298299298299299299299299299300300299299299299298298298298297297297296296298 302304305304303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293292292292292295296297297296297297296296295295293294294295294293294294295294293294294294295294293294294294295295294295295295294294294294294294295295295295294295295294295294293294294294294294294295294294294294294293294293294294295295296296296295294295296297295294294294293291291292294293292293291293293294300299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300999999298298296293293292293296294295296296297297297297297298297297297296296296295295295295295295294294294295294294294294295295295295295295295294293293293293293293293293293293293293293293293293292292292292292292292292292292292294293293293293293293292292292293292292292999292293292292292292292293293293293293293293294293293293293293294294295295295296295296296296296296296296296297297297296296296296296296296296296296297297298298298299298299299300300301301302302302302302302302302302303303304304304304304305304304305304304304303303303304304305305305305306306305306306306306307307306307307307307307307307307307307307307307307307308308307307307307308308308308309309309309308309309309308308308308308308308308308307307307307307308308307307307307306307306306306306306307306306306306306306306306306306306306306306306306306307307307307307307308307308308308308308308308308308309308309309309309309309308309309309309309309309309309308308309308308308308308308309309309308309309309308308309309308308308308308308308308308309308309309309308309308308308307308308308308308309309309309309309309309308308308309308308309309309309308308308308308308308308308308308308308308308308308308308308308308308307307308308308307307308308309309309309309308309308308308307307307309309308308308308307308308308307307308308308308308307306307306305305305306305306305306306305306306306306306306306305305306306306306306306306306306306306306306306306306306306306306306306306306306306306305305305305305305304304304304304304304304304303303302303302303303303303303303302302302302302302302303302303303303302302303302302303302303303303302302303302303302302302302302303303302303302302302303302303303303303303303302302302302302302301301302302301301300300299300301300300300300299299299299299299299299299298298299299298298298298298298298298299299299299299300300299299299299299299299299298298298298298298297297296298 303303303302302303304999999999999999999999999999999999999999999999999999999999999999999999999999999999293293291290290291293295296296295296296296297295294293294294292295294293294295295294294294294294294294294294294294295295295295295295292294293294295295295295294294295295295294294295295294295295295294294294294294293293293293293293294296295294294294294294295296296296294294292293291292292294293292291292294293294299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299999999299298295295294293293294293294294296297296297298298297297297297297296296296295295295294294294295294294294294294294294294295295295295295294294293293293293294293293294293293293293294293293293293293293293293293292292292293293294294294294293293293293292292292292292292291292292293292292292292293293293293292293293293293293293293293294294294294295295296295295296296296296296296297297296297296296296297296297297297297297297298298298298298299299299300300300301301302302303303302301302303303303304304304304304304304304304303304304304303304304304304305304305306305305306306306306307307307307307307307307307307308307308307307307307308308307308308308308308308308308308308308308308309309308308309308308308308307307307307307307307307307307307307307307306307306306306306306306306306306306306306306306306306306306306306306306306306306307307307307307307307307307308308308308308308308308308309309309309309309308309309309308308308309309308308308308309308308308308308308309309309308308308308308308308308308308308308308308308308308309309309308309308308308308308308308308308309309309309309309309309308308308308308308309309309309309309308308308308308308308308308308308308308308308308308308308308308308308308307307308308308308308308308309308308308308307307307307309309309308309308307308308308308307308307308309308308308306307306305306306306306306305306306306306305306306306306306306306306307307306306306306306306306306306306307307307306306306307306306306306306306306306305305305305305305305304303303303304303303303303303303303303304304303303303303302302302303303302303303303303303303303303302303303302303302303303302302302302302302302302302302302302302303303303302302303303303303303303302302302304302302302302301301301301301300300299300300300300300300299298299298299298298298298298299299299298298298298298297298298299298298298298300299299299299299299298298298298298298298297297296296298 302302303302301300305306999999999999999999999999999999999999999999999999999999999999999999999999999999296293291289289291292294296295296296296296296296293293293294293295294294295295294294294293294294294294294295295295295296296297296295293293294999999294294294294294294294295295294295295295295295295294295293294294294293293294294293295295295293293293293294295294294294293294293291292292294291291290289293294295294300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999302302298298296294293293294294294294294296297297297297297297297297297297297296295295295294294294294294294294294294294293294294295294295294295294293293293293293293293293294293294293293293293293293293293293293293292292292293292293294294294293293293292293292292291292291290999292292292291291291291292293292293292292292293293293293293293293294294294295295295295295295296296296296296296296296296296296296296297297297297297297297298297297298298299299299299299299300301302302302302302302302303303303303303303303303304304303304304304304304304304304304304304305305305305305306306306306307306306307307307307307307308308308308308307308308308308308308308308308307308307307308308308308308308308308308308308308308308307307307307307307306307307307307307306306306306306306306306306306306306306306305306305306305306306305306305306306306305306306306306306306307307307307307308308308308308308308309308309309309309308308309309308308308308308308308308308308309308308308308308308308309308308308308308308308308308308308308308308308308308309309309309309309309309309308308308308308308309309309309310309309309308308308308308309309309309309309309308308309308308307308308308308308308308308308307308308308307308307307307307308308307308308308308308308308308308308307306307308308308308308308307307307308308307307308308308308308308308307307306306306306306305305306306306306306306306306306306306306306306306306306306306306306306307306306306306306306306306306307306306306306306306305306305305305305305304304304303303303303303302303303303303304303303304303304303303302303302303302303303303303303303303303302302303302302301301301302302302301301302302302302302302302302302302302303303303303303303302302302302303302302302302302302301301301301301300301301300300300300300300299299299298299299298298298298299299299299299299299298298298298298298298298299299299299299299299298298298298298298298297297296296296298 300302302303303299302999999999999999999999999999999999999999999999999999999999999999999999999999999999293292291288288290292294294295295295294295295295295294293293294294294295294293295295293294294295294293293295294295295295295296295295293293999999999999293294294295294294295295295295295296296295295295295295296295294294294294295294295294294293293293293294294293293293293293292292293293295294291289289292294295296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304304301297295294293294294294294295296296297296297297297297297296297297296296295295295295294294294294294293294294294294294294294294294293294294293293292292293293293293293293293293293293293293293293293293293293293292293293293293294294294293293293293292292292292291291290289291291291290291291291292293293292292292292293293293293293293294294294295295295295295295296296296296296296296296296296296296296297296297297297296296297297297298298298298299299299299300300301301301302302302302302303302303303303303303304304304303303303304304303304304304304304304304304304304305305306306305306306306306307307307307307308308307308307307307308308308308308308308308308307307308308308308308308308308308308308308308307308307307307307307306306307307306306306306306306307307306306306306306306306306306305305305305306306306305305305305305305305306306306306306306306306306307307307307307308308308308308309309309309309309308308309308308308308308308308308308308308308308308308308308308308308308308308307308308308308308307308308308308308308308308309309309309308308308308308308308308308309309309309309309309309309309309309308309308309309309309308308308308308308308308308308308308308308308308307307308308307308307307307307307307308308307308308307308308308308308308308308308308308308308307307307307307308307308308308308308308308307307307307307306306306306306306306306306306306306306306306306305306306306306306306306306306307307306306306306306306306306307307307307306306306306306306306305305305305305304304304303303303303303303303303304304304304304304303303303303303302303303303303303303303302303302302302302302301302301302302302302301302302301302302302302302303302303303303302303303303303302302302304303302303302302302303301301301301301301301301300300300300299299300299299299298299299299298299299299299299299298299298298298298298299298298299299299299299299299298298298298298297297297296296295295298 299301302302301301301304999999999999999999999999999999999999999999999999999999999999999999999999999999294292290289289290292293294295294294295295295295294294294293294294294295294294294294294293294293294295294294295295296296296296294294293293296999999999294294294295295295296296297296296297296297296296296295296296295295295295294295295294294293293293293295294292293293293293293293293296294292291289291294296299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302300297294294295294294294294296296296297296297296296296297297297297296296295295295294294294294294294294294294295294294294294294294294294293294292292293293293294293293293293293293293293293293293293293293293293293293293293294294294294294293293292292292292292292291291288290290290290290291291291292292292292291292292293293294294293293293294295295295295296295295296296296296296297296296296296296296297297297297297297297296297297298298298298298298299299299299300300301301302302302302303302302303302303303303303303303303303303304303303304304304304304304304304304304304305305305305306306306306307307307308308308308308307307307307308307308308308308308307308307308308307308308308309308308308308308308308307307307307307306306306306306306306306306306306306307306306306305305306305305305305305305305305305305305305304304305305305306306306306306306306306306307307307307308308308308308308309309309309309309308309309308308308308308308308308308308308308308307307308308308308308308308307307307307307307307307307307307307307308308308309309309309309309309308308308308309309309309309309309309309310309309309309308308309309309309308309308308308309308308308308308308308308308308308307307307308308308308308308308308308308308307307308307307308308308308309308308308308307307307307307307307307307307308308308308308308308307307307307307306306306307306306306306306306306306305305305306306306306306306306306306307306307306307306306306306306306306306306307307306306306306306306306306306305305306305305304304304304304304304304304304304304304304305304304304304303303303303304304303303303303303302302302302302301302302302302302301301302301302302302302302302302302303303303303303303303303302302301304303305304302302302302302302302302301301301301301300300300300299299299299299300299299299299299299299299299299299299298298298298299299299299299299299299298298298298298298297297297297296296296295295298 302301303303302302303304305999999999999999999999999999999999999999999999999999999999999999999999999294292294290288289290291293294293294295295295294295294294294294293295295296295293294295294294294293294294295295295296296296296296295295295294295295999296295295295294295295296296297296296296297297297297297296296296296294294294295295294294294293293293294294294293293294294295295295295296293292292290291294299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297295294294294293293294296296296296297296297296296296296296296296296296295295295295295294294294293294294294295294293293294294294293292293293292293293293293293293294294293294294294293294293293293293293293293293293294293294294294292291292292293292292292292292291290291289290290290290290290291291292292292291292292293293293293293294294294295295295296296295296296296296296297296296296296296296296296296297297296297297297297298297297298298298298298298299299299300301301301301302302302302302302302303302303303303303303303303303303302303303303304303303303303304304304305305305305306306306306307307307307307308307307308308308308308308307307308307308307307307307308308308308308308308308308308308308308308307307307307307307306306306306306305305306306306306305305305305305305305305305305305305305304304304304304304304304305304305305305305305306306306306306306307307307308308308308308309308309308308308308308308308308307307307308307308308308308308308308308308308308308308307307307307307307307307307307307307307307307308308308309309309309309309309309309309309309309309309309309309309309309309309309309308308309309309309309309308308308308308308307308308308308308308308308307307307308308308308308308308308308308308308308307308307307307308307307308308307308307307307307307307308307307307307308308308308308307307307307307307307306307307306306306306306305306305305305305306305306306305305306306306306307307306306306307306306306306307307307306307306306306306306305306306306305306305304304304304305304304305303303303304304304305304304304304304304304303304303303303303303303303303302302302302301301301301302302301301302302301302302302301302303302303302302303302303303303303303302302305303304302302302302302302302302302302301301301300300299300300299299300300299299299299299299299299299299299299299299299299299299299299299299299299299299298298298298298297297297297297296296295295294298 303303301302301302303302302303999999999999999999999999999999999999999999999999999999999999999999999999291292290288289290291291293293294295294293293293294294295294294295295293294294294294294293293294294294294295295295296295297295295294294294294294295296295294294295295295297297297297296296297297297297297296297296296296295293293293294293294293293293295295295295294294295295294295294295295294294294292295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298297294294294294293295296296295295296295296296296296295296296296296296296296295295294295294294294294293293294294293294293294294293293292293293293293293293293294293293294294294294294294294294293294294293293294293293294293293293999292290291291292292292292292291291291290290290290290290290290290291291291292292292292293293293294294295295295295295295295296295296295296296296296296295296296296296296296296297296297296296297297297297297298298298298299299299299299300301301301301301302302302303302302302302302303303303302303303303303302302303303303303303303303304304304304304305305305306306307307307307307307307307307308308308308308308308308308307307307307307307307307307307308308308308308308308308308308307307307307307307306306306306306305305305305305305305305305305305305305305305305305305304304304304304304304304304304304304305305306305306306306306306307307307307307307308308308308308308308308308308308308308308308307307308308308308308308308308307308308308308308308307307307307307307307307307306307307307307307308308308309309309309309309309309309309309310310310309309309309309309309309309309309309309309309309309309309309308308308308307308307307308308308307307307307308308308308308308308308308308308308308308308308308308307308308308308308307307307307307307307307307307307307307308308308308308308308308308308307308307307307307306306306306306306305305305305306305306306306306306306306307307307306307306306306306306307307307307307306306306306306306306306306306306307306305305305305305305305305306305304304304304304304303304303304304304304304304303303303303304303303302302302302301302302301302301302302301301301301301302302302302303302302302302303303303303303303302304302302302302302302302302303302302302302301301301300301301300300299299298298299299299299299299299299300299300299300300299299299299299299299299299299299299298298298298298298297297297296296296295295294294298 303300299301301302302301301302302999999999999999999999999999999999999999999999999999999999999999999999294293291289289290291292293293295295293292293293293295294294294294294294294294295295294294294294294295295295295295294296295297296296296295294295295295294294294295294295297298298297297297297298297297297297296295295295294293294294294295294293294294294294295295294294295296294295293293294295293296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297299298295293293293294294294295295295295295295295295295296295295296296296296296296296296295294294294293293293293293293293294294294294294293292293293294293293293293293293293293293294294294294295295294295294294293294294293294294294294293293999290289291291291292291291291291291290290290290290290290290290290290291291291292292292293293293294295294295295295295295295296295295295295296296296295295296296296296296296297297296297297297297297297297297297297298299299299300300300300301301302302302302302302301301302302302302303303302302303302302303302302303303303303303304304303304303304305305306306306306306307307307307307307307308308308307308308308308308308307307307307307307307307307307307308308308308307308308307307307307307307307306306306306305305305305305305305305305304304304305305305305305304304304304304304304304304304304304304304305305305306306306306306306306307307307307307307308308308308308308308308308308308308308308308307307308308308308308308308307308308308308307307307307307306307306306306306306306307307307307307308308309309308309309309309309309310309310310310310310309308309309309309309309309309309309309310309309309309308308308307307307307307307308308308308308308308309309308308309309308308308308308308308308308308308307308308308307307308307307307307307307307307307307307307307308308308308308308308308307307307307307306306306306306305306305305305305305306306306306306306306306306307307307307306306306306307307306307307306306306306306306306305305305306306306306306306305305305305304304305305305304304304304304304303304303303304304304303303303303304303303303302302301301301301301301302301301302301301301301301302302302302302303302302302302302303303303303303303303302302303302302302302302302302302301301301301301300300300300299299299298299299299299299299299299300299300299300299299299299299299298299299299299298298298298298298298298298297297297296296295295295294294298 302302301301300301299301300301301999999999999999999999999999999999999999999999999999999999999999999999295294290289290289290291293293294293293292293292293293294293293293292294294294294293294293295295295295295296296295295295298299296296296295294295296295294295294294294296297298298297297298298298298297297297296296296296295295295293293294295295294294294292294294294294295295296295293293294294294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298301300295293294294294295295296296295296295295295295295295295295296295296296296295295296296295294294293293293294294294294293294294294293293293293293293293292292292293293294294294294294294295295294294294294294294294293293293294294294293293999288289291292291291291291291291291290290290290291291290290290290291291291291292292293293293294294294295295295295295295295296296295295295296296296295295296296296296296297297297296296297297297297297297297297297297298298299300300300300300300301301302302302301301301302302302302302303303302302302303303303303303303303303303303303303303304304305305305306306306307307307307307307307307308307308307307308308307307307307307307307307308308307307307307307307308307307307307307307307307306306306306306305305305305305305305304304305304304304304304304305305304304304304304304304304304304304304304304304305305305305306306306306306306307307307307307307307307307307308308308307307308308308308308307308307307308308307308308308307307307307307307307307307306306306306306306306306306307307307307307308308308309309309309309309309309310309309310310309309309309309309309309309309309309309309309309309309308308308308307307307307307307308308308308308309308308309308309308308309308308308308308308308309308307308308308308308308308307307307307307307307307307307307307308308308308308309308308308308307307307307306306306306306306306306306305305305305306306306306306307306307307307307307307306306306306307306307307306306306306306306306306306306306306306306305306305305305305305305305305305304304304304304304304304304303303304304303303303303303303303302302302301301301301301301302301301301302301301301301302302302302302302302302302302302302302303303303302302302302302302302302302302302302302302302301302301300300300300300300299299298298298299299299299299299299300299299299299299299299299299299299299299298298298298298298297297297297297297296296296295295295294294297 302302301301300301301301302302301301999999999999999999999999999999999999999999999999999999999999999999296294292292289289290291292292293292293292294293293293294294293293295294292295293293294293294295296296295295296296294294296298296297296295295295296294294294294294295296297298297297297298298298298297297296296296295296296296294294294293296294293293293293293293295294295298293291293294296296296294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301299297294294294295295295295295295295295295294294295294295295296296296296295295295295295294294294293293293293294294294294294294293293294294294293293293292293293293293293294294294294294294295294294294294294294294294294294294294294294293292288290290290291290291290290290290289289290290290290290290290290290290291291292291292292293294294295294294294295295295295295295295295295295295296295296296296296296296296296297297297297297298297298298298298297297298298299299300300300300300301302302301301301301301301302302302303303302303303302302303303302303303303303303303303304304304304304305305306306307307307307307308307307307307307307307308307307307307307307306307307307308308307307307307307307307307307307307306307307306307306306306306305305305305305305305304305304304304304304304304304304304304304304304304304304304304304304304304304305305305305306306306306306306307307307307307307307307307307307307307307307308308307307307307307307307307307307307308307307307307307307307307307307306306306306306306306306306307307307307307307308308308308308309308309309309310309309309309309309309309309309309309309309309309309309309309309308308308308308307308307307308308308308308308309309308309309308309309308308308308308308307308308308308308308307308308307307308307307307307307307307307307307308308308308308309308308308308308308307307307307306306306306306306306306305306306305305306306306306307307307307307307307306306307307306306307307307307306306306306307306306306306306306306306305305305305305305305305305305305305305304304304304304304303303303303303303303303303303303302302302302301301301301301301301301301302301301302302302301302302302302302302302302302302302302302303303303301302302302302302302301302301302301302301300300301301300300300300300301299299298299299299299299299299300300299299299299299299299299299299299298298298298298298297297297297297297297297297296296296295295295294294298 302301301302301301299300300302301299297999999999999999999999999999999999999999999999999999999999999999294293291289288289289291292292292292292292292291293293292293293293294293293295292291293294294295296295294295295294296295297297296297296295295295295294294294293293296296297298297297297297297297297298297297297296296296296296296295296295294294294294293293294294296292295294302297297295298301299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299297297296295294294294295295295295295295295295294294294295295296296296296296295295295295294294294294293293293293294294294294294294294293294295294293293293293293293293294294294295293294294294294294294294294294294294294294294294294295294293292291290290290290290290290289290290289289289289290290290290290290289290290290291292292293293293294295295295294294295295295295295295295296296295296296296296296296296296296296297297297296297298297298298298298298298297298298299299300300300300301301302301301301301301301301301302303302302302303302303303302302303303303303303303303304304304305305305305306306306307307307307307307307307306307307307307307307307307306306306307307307307308307307307307307307306306306306306307307306306306306306306306305305305305305304304304304304303303303304304304304304304304304304303303303304304304304304304304305305305305305305305305306306306306307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307306307307307307307306306306306306306306307307307307307307307307308308308308308308309309309309309309309308308309309309309309310309310309309309309309309309308308309308308308308308308308308308308308308308308308308309309309309308308308308308308308308308308307307307308308308307308307307308308308308307307307307307307307307308308308308308308309308308308307307308307307307307306306306306306306306306306306305306306307306306307307307307307307306306306307307307307307307307307307306306306306306307306306305305306306306305305306305305305305305305305305305305304304304304304304304303303303303303303303303303302302302301301301301301301301301301301302301302302302301302302303302302302302302302302303302303302302302303301301302301302301301301301301301301300300300300301301300300300299299299299299299299299299299299299299300300300299300299300299299299299299299298299298298298297297297297297297297297297297296296295295295295294294298 301301302302301301298298299299299297302999999999999999999999999999999999999999999999999999999999999999292291291289288288289290291291292292292292293292293292292293293291293292292292292293999294293295295294294296295296296295297296296295295293295294294294293293295293294296297297297298297297297298298297297297297296297297298297296297296296296295295295294293293294294295296297298298296300299301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300298296296295293294294294294294294295295295294294294294294294296296296296296295295295295295295295294293293293293294294294294293295294294294294293293293293293293294293293294294295294294294294294294294294294294294295294294294294294295295293290290290289289289289289289289289289289289288289290290290290290290290290290291291292292293294294295295295295294294295295295295295296296296296296296296296296296296297297296297296297297297297298298298298298298298298298298298299300300300301301301301301301302302301301301301302302302302302302303302303302302303303302302303303304304304304305305305305306306306307307307307307307307307307307307307307307307307307307307306306306307307307307307307307307307306306306306306306306307306306306306306306305305305305304304304304304304303303303304303303303303304304304304303303304304304304304305304304305305305305305305305305305306305306306306307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307307306307306306307307307307307307307307307307307307308308308308308309309309309309309309309308308309309309309309309310310310309309309309309309309309309309309309308308309308308309308308308308308308308309308309308309309308308308308308308307307308308308308308308308308308309308309308308308307307307307308308308308308308308308308308308307307307307307307307307306306306306306306306306306306306305306306306307307307307307307307307306307306306307307307307307307307307307307306306306306306306306305305306306306305306305305305305305305305305304305304305304304304304303303303303303303303302302302302301301301301301301301301301301301301302302302302302302302302302302302302302302302302302302303302302302301301301301301301300300300301301300301300300300300300300300300300299299299299299299299299299299299299299299299299299299299299299299299298298299298298298297297297297297297297296297297297296296296295295295295294294298 301301302302301301301298298299298297297999999999999999999999999999999999999999999999999999999999999999292290290290288289289290291291292292292292292291292291292293292292291291292292293293293293295295294296295298296295295296297296296293293294294294293294294295294293293296296298298298297298298298298297298297296297298298298298297296296297298298296295295295296295296296297297298300295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297293292293295295293293294294294294295294294294294293294295296295296295295295295295294294294294294294293293293293294294294294294293294294293292292293293294294293293294293295294294295294293293294294295295295294294294294294294294294293290289289288288289289289288288288288288287288288288289289289289289289289290290291292293293293294295294294294294294294294294295295296296296296296296296296296296296296296296297296297297297298298298299299298298299299298298298299299299301300301300301302301301302302302301301301302302302302302301302302302303303302302302302303304304304304305304305306306306306307307307307307307307307307307306306306307306306306306307306306306306307307307307306306306306306306306306306306306306306306305305305305305305305304304304304304303303303303303303303303303303303303303303303303303303304304304304304304305305305305305305305305305305305305306306306306306306306306306306306306306307307307307307307306306306306306306307307307307306306307307307307307307306307307307307307307307307307307307307307307308308308308308308308308308308309309308308308308309309309309309309309309309309308308309309309309309309309309308308309309309309308308308308308308308308309308308308309309308308307307308308308308308308308308308308308309309309308308308308308307307307307307308308308308308308308308308308308307307307307307307307307306306306306306306306306306306306306306306307307307307307306306307307307306306307306307307307307306307307307306306306306306306306306306306305305305305305305305305305305304305304305305304304304304303303303303303303303302302302302301301301301301300300300301301301301302301302302301302302301302302302302302302301301302302302302302301300300300301300300301300301300301300300300300300300300300300299300299300299299299299299299299298299299299299299299299299299299299298298298298298298298298297297297296296297297296297296296296296295295295295295295294295295 303302300300301301300300299300300300303999999999999999999999999999999999999999999999999999999999999999291290290289289290289289291291291291292292293292292292292293292292290999291293293293294293293295295294295297296296295297296295292292293294293293294294297297293294294296297299299297297297298297297297298297296296298298298298297298299301298298298298296296298299301299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292292293294294294293293293293294294294294294293293294294295296295295295296295295295295294294294294293293293293294294294294293294294293292292292292293294293293294294294295294295294295294294294295295295295295294294294294294294294292289288288288288288288288288288287287287287288287288288288288288288289290289290290291293293293293294294294294293293294295295295295295295295295295295296296296296296296296296297297297296297298298298299299299299299299298298299300300301300301301301301301301302302302302301301301302301302301301302302302303303302303303302303303304304305305305305306306307306307307307306306307306306307306307307307307307307306306306306306306306306306306306306306306306306306306306306306306306306305306305305305305305305305304304304304303303303302303303302302303303303303303303303303303303304303304304304304304305305305305305305305305305305305305305306306306306306306306306306306306307306306307307306306306306306306306306306306306306306306306306306306307307307307307307307307307307307307306306307307308308308308308308308308308308308309309309308308309309309309309309309309309309309309309309309310309309309309309309309309309309309309308308308308308308309308308308308309309308308308308308309308308308308309308308309309309309309309309309308308308307307308308308309308308308308308308308308308308307307307307307307307306306306307306306306306306306306306307307307307307307306307307307306306307306306306306306307306306307307306306306306306306306306306306306306305305305305304305305306305305305305304305304305304304303303303303303303303302302301301301301301301301300301300301301301301301301301301301302302301301301302302302301301301302302302301301301301300300300300300301301301300300300301301301300300300300300300300300300299299299299299299299299298299299299298298298299299298298298298298297297297297297297297297296296296297297296296296296296295295295295295295295295295 302300299302300300299299300300300300300999999999999999999999999999999999999999999999999999999999999999290291290290289289289288290291292291292292293292293293293292292292290290291292292293295293295294296295297297298299298296296294292294294293291294294295296298294295296298298297298298298298298297297297298298297298298298297298298298300299298298298300296294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292292294294294293293293293293294294294294294293293293294295295295295295295296295295295295295294294293294293293294294294294294294294293293293292293293293294294294294294295294294295294295295295296296295295295295294294294294293293290288287287288288288288288288287287286286287287287287287288287288288288289289289290291293293293294295294295295294294294295294295295295295295295295295295296296296296296297296297297297296297298298298298298298299299299298299299299300300300301301301301301301302302302301301301301301301301301302302302302303302302302302303303303304304305305306306306306307307306307307306306306306306307306306307307307307307306306306306306306306305306306306306306306306306305305306306306306306305305305305305305305305304305304304304303303302302302302302302302302302302303303303303303303303304303304304304304304304304305305305305305305305305305305305305306306306306306306306306306306306306306306306306306306306306306306306306306306306306306306306306307307307307307307307307307307307306306306307307307308308308308308308308308308308308308309308308309309309309309309309309309309309309309309309310309309309309309309309309309309309309309308308308308309309309308309309309308309309308309308308309309309309309309309309309309309309309309309309308308308308308308308308308308308308308308308308308308308308308307307307307306306306307307307306306306306306306306307307307307307307307307307307307306306306306306306306306306306306306306306306306306306306306306306306305305305305305305305306305305305305305305305305305304303303303303303303303303302301301301301301301301301301301301301301301301302301301301301301301302301301301302302301301302301301301301301301300300300300300301300301301301300300301301300300300300300300300300300300299299299299299299299299299299299299298298298299298298298298298297297297297297297297297297296297297296296296296296296296296295295295296295295295295 304301301301301299300299298300301301302302999999999999999999999999999999999999999999999999999999999999999289287288289289289999289290291291291292292292292292293292291292291291291291292294294294295296296297298296294299297294293291293294292291292293292295294294296296296297296296297297299297297297297298299299300300300299300298298299300299300299298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293292293294294293293293293292293294294293293292293293293294294294294295295295295295295295295295295294294294294294294293293294293294294293293293294294294294294295294294295294295295295295296295296296296295295295294295294293293294286288288289289289288287287286285285285286286286286286287288287287287288289288289290291292292293294294294295295294294294294295295295295294295295295296296296296296297297297297297297297297297297298298298298298299299299299299299299300300301301301302301301301301301301301301301301301301301302302302302302303303303303303304304304304304305306306306307307307307307307307307307307307307307307307307307307307307307306306306306306306306307306306306306306306306306305306306305305305305305305305305305305305305305304304303303302302302302302302302302302302303303303303303303303304304304304304304304304305304305305305305305305305305305305305305306306306306306306306306306306306306306306306306306306306306306306306306306306306306306306306307307307308307307307307307307307307307307307307307308308308308308308308308308308308309308309309309309309309309309309309309309309309309309309309310310310310309310310310309310310310309309309309309309310309309309309309309309309309309308308309308309309309309309309309310310309309309309309309309309308308309308308308308309308308308308308308308308308308308308308307307307307307307307307307307307307306306307307307307307307307307307307307307306306306306306306306306306307307306306306306306306306306306306306306306305306305306305305306306306306306306305305305305304303303303303303303303302302301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301300300301300300300300300300300301300300301301300301301300301300300300300300300300300300300299299299299299299299298298299299298298298298298298298298297297297296297297296297296296296296296296296296296296296295295295295295295295295294295295 999999302302300300299300300302300301302303303305999999999999999999999999999999999999999999999999999999999999999288290289290288288290290294293292292292292292292293291293292292291292294294292294295296296297297296298298295294295292293294294295294294296297297295296298297296295296298300300300298297298298299301302301302301300299298300300299297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292293293293293293293293293293293293293292292292293293293293294294294295295296295295295295295294295295295294295294294294294294294294294294294294294295294294294294295295295295295295295296296296296296295295294295294294293293291290291290289288287287284284284285284285285285285286287287287286287286287288288290290291291292293294294294294294294294294295295295295295295295295296296296297297297297297297297297297297297297298298299298298298298298298299299299300300301301301300301301301301301300301301301301301302302302302302303303303303304304304304304304305305305306306307307307307307307307307307307307307307306307307307307306307307307307306306306306306306306306306306306306306306306305306305306305305305305305305305305305305304304304303303302302302302302302302302302302302303303303303303303303304304304304304304304304304304304304304304305305305305305305305305305305306306306306306305306305305305305306306306305305306306306306306305305305306306307307307307307307308307307307307307307307307307307307307307308308308308308308308308308308308309309309309309309309309309309309309309310310310309309310309310310310310310310310310310310310309309309309309310309309309309309309309309309309309309309309309309309309309309309310309309309309309309309308309308308308308309309309309309308308308309309308308308308308308308308308308308307307307307307307307307307306306306306307307307307307307307306306306306306306306306306306306306306307307306306306306306306306306305306306305306306306305306306306306305306306306306305305305305304303303303303303303302302301301301301301301300300301301301301301301301301301301301301301301301301301301301301301301301301300300300300300300300300300300300300300300300300300300300300300300300300300300300300300299299299299298299299298298299299299298298298298298297297297297297296296296296296296296296296296296296295295295295295295295295295295295295294294294294 999999999303301300300300300301302302302303303302301302999999999999999999999999999999999999999999999999999999999999290290288289289290291290292292294293292292292292293294294293292294294294294295296295294294296299300295295295295293294294294296295294296297297297299299296295294295299299300299299298300299299302302301302301301300300301303303300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292292292293293293293292292292293293293293292292293293293293293293293294294295296295295296295296295295295295296295294294294295295294294294294294294294295295295294295295295295296296296296296296296296296296296295295294294294293292291290289287287285285283282282283283284284284285286285286287286287287287289290289289290291999293293294294294294293293293295294294294294295295296296296297297297297298298297297297297298298298298298299299299299299299299299299299300300300300300300301300300300301301301301301302302302302303303303302303303303304304304305305305305306306306306306307307307307307307307307307307307307307307306307307306307307307306306306306306306306306306306306306306306305305305305305305305305305305305305305305304304304304303303302302302302302302302302302302302302302303303303303303304304304304304304304304304304304304304304304305305305305305305305305305305305305305305306305305305305305305306305305305305305305305305305305306306307307307307307307307307307307307307307307307307307307307307307308308308308308308308308308308308308309309309309309309309309309310310310310310310310310310310310310310310310310310310310310310310309310309310310310310309310310310310310310310310309309309309309309309309309309309309310309309309309310309309309309309309309309309309309308309309309309309309309308308308308308308308308308307308308307307307307307307307307307307307307307307307307306306306306306306306306306306306306306306306306307306305306305306306306305305306306306305305306305306306306306306306306306305305305304304303304304303303302302302301301301301301301300300301301301301301301301301301302301302301302301301301301301301301301301300300300300300300300300300300300300300300300300300300300300300300300300300300300300300299299299299299299299298298299298298298298298297297297297297296296296296296296296296296296296295295295295295295295295295295295295295295294294294294294294 999999999303301300301302301301303301302300301302300301302999999999999999999999999999999999999999999999999999999999289287289290291291289291291292292292293292291292292292294293293293294293295294294295295295294296295295296296296296297295295297296294295296296296297297297295295294298299296299300301300299300300301301302302301301302302305300297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292293293293293293293293293293293292292293293293293292293293293293294295295295295295295294295295295295297296296295295296295294294294294294294295295295296295295296295296296296295296296296296296296296296295295294294293292290288288287286284283282282281282282281282282282282283284285285286286286286289290289288999999999999293294294293293293293293294295294294294294295295296296297296297298297297297297298298298298298299298299299299299300299300300300299300300300300300300301300300300300300301301301302301302303303303302302303303303303304304304305306305305306306306306307307307307307307307307307307307306307307307307307306306307307306306306306306305305305306306306306306306305305305305305305305305305305305304305304304304303303303302302302302301301301302302302302302302302302302302303303304304304304304304304304304304304304304304305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305305306307307307307307307307307307307307307307307307307307307307307307307308308308308308308308308308308308308308309309309309309309309310310310310311310310310310310310310310310310310310310310310310310310310310309309310310310309309310310310310310310310309309309309309309309309309309309309309310309309310309309309309309309308308309309309309309309309308309309308309309308308308308308308308308307307307307307307307307307307307306307306307306306307306307306306306306306306306306306306306306306306306306305305305305306305306305305306305306305305305306305305305305305305306305305305304303303304304303302302302301301301301301301301301300301301301301301301301301301301301302301301301301301301301301301301301301300300300300300300300300300300300300300300299300300299300300300300299300300300300300299299299299299299298298298298298298298298298298297297297296296296296296296296295296296295295295295294294294294294294294294295294294294294294293293293293293 999999999999301302302301298300299300300300301300301301301299999999999999999999999999999999999999999999999999999999999288291290290290291290290292292292291292291292292293295294293294293294294295294293292294294296293295295293295293297290296295295295295296297297297300299297295297297298298300299301300300299300302302303303302301302304304304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293292293293293292293292292292292292293293293292293293293293294294294294295295295295295295296297295295296297296295295296296295295294294294294294295296296296296295295295295295295296296296296297297297296295294294293292291288288287286284282281281281281280280280280282282281282283284284285285286287289292289288999999999294293294293293293293293293293294294294294294295295295296296297297297297298298297297297298298298299299299299300300300300299299300300300300301300300300300300300301302301301301301302302302302302302302302303303304303304304305306306305305306306306306307307308308307307307307307307307307307306307307306306306307307306306306306306305305305306306306306305305305305305305305305305305305305305304304304304303303303303302302301301301301301302301301301301302302302302302303303303304304304304304304304304304304304304304304304305305305305305305305305305305305305305305305305305305305305304304304304304304305305305306306307307307306307307307307307307307307307307307307307307307307307308308308308308308308308309309308308308308308309309309309309309309309310311311311311310310310310310310311310311311310310310310310310310310310310310310311310310310310310310310310310310310309309309309309309309309310310309310310310310310310309309309309309309309309309309309309309309309309309309309309309309308308308308308307307307308307307307307307307307307307306307307306306306306306306306306305305306306306305305306306306306305306306305305305305305305305306306305305305305305306306305305305305305305305305305304303303303303303302302301301301300301301300300301301301301301301301301300301301301301301301301300301301301301301300301300300300300300300300300300300299300299299300299299299299299299299299299299300300300300300299299299298298299298298298298298297297297297297297297296296296296296295295295295295295295294294294294294294293293293294294294294294294294293293293293293293 999999999999999301300296300999299299302301300300300299298299299999999999999999999999999999999999999999999999999999999999291292290290291289290291290291291292292292292292293293293292292294294295293293293296295295291293295295295294294291292293292295295296297298298298296297296296296296295296300300299300300299301300301303302303303303303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292291292292292292292292291291291292291291292291293293293294294294294294294294295295295295296296296296296295294295295294294293294294293294294295295295295295295295295294295295296295296297297297297296295293293293292290289288286283282280280280279280279279279280279281281281282282283284284284289290292292999999999999292293292292293292292292293293293294294294294295295295296296296297296296297297297298298298299299300299299300300300300299299301300300300300301300300300301299300300301301301301301301301301301301301302303303303303303304304304304304305305305306306306307307308308308307307306306306306306306307307307307306306307306307306306305305305305306305305305305305305305305305305305305305305304304304304304303304303303302302302302301301301301302301301301301301301302302302302303303303304304304304304304304304304304304304304304304304304305305305305305305305305305305305305305305305305305304304304304304304304305305306306307306306307306307307307307307307307307307307307307307307307307308308308308308309308309309309309309309309308309309309309309309309310310311311311311311310310310311311310310311311310310310311311311310310311311311311311311310310310310310310310310310310310309309309309309309310310310310310310310310309309309309309309308309308308309309309309309309309309309309309309309308309308308308308308307307307307307307307307307307307307307307306306306306306306305306305305305306306306305305305305305306306305306305305305305305305305305306306306305305305306305305305305305305305305305305304304304304304303302302301301301301300300300300300300300301301301301301300301301300300301301301301300300300300301300300300300300300300300300299299299299299299299299299299299299299299300300299299300300300300300300300299299299298298298298297298297297297297296297296296296296295295295295295295295294294294293293293293293293293293293293293293293293293293293293292292292292 999999999999999999301293999999999301302300298298299300299300300299298299999999999999999999999999999999999999999999999999294292290291291290290291289291290291292292291293294293293292292293294294292293295297296292293295293294293292292292292294295293296296297298298299298298297296296297297297299300300300301299299299301303302304304305302301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296294292290291290291291291291291291291291291291290291291292292293293293293294294294294294295295295296296296295295294294295294295294293293293293293294295295295295295295295295295295295295295296296295295295294293293292291289287285283281280280279280279280280281280280280280281281282283284284284284286999293293292999999999292292292292292292292292292293293293294294294295295295296296296296296296296297297297297298298298298298299299299298298298299299299299300300300300300300299300300300300300300300300300300300300300301301302302302302303303303304304304305305305306306305306307307307307307306306306306306306306306306306306306306306306306305305305305305305305305305305305305304305305305305304304303303303303303303303303303302302301301301301301301301301301301301301301301301301301301302302303303303303303303303304304304304303303303303304304304304304304304304304304304304304304304304304304304304304304304304304304304305305305306306306306306306306306306306307307307307307307307307307307307307307307307308308308308308308309308308308308309308308309309309309309310310310310311311310310310310310310311310310310310310311310310310311310310311311311311310310310310310310310310310310310310310310310310310310310310310309309309310309309309309309309309309308308308309309308308308309309309309309309309309308308308308308308308307307307307307307307307307306307306306306306306306306306306306305305305305305305305305305305305305305305305305305305305305305305305305305306306306305305305305305305305305305305305304304304304304304304303303302301301301301301300300300300300300300301301301301301300301300300301301301301301300300300300300300300300300300300300300299300300299299299299299299299299299299299299299299300299300300299299300299300299299298298298298298297297297297297297297296296296296295295295295294294295295294293293293293293292292292292292293293293292293293292292292292292292292292 999999999999999999999999999999999999999300298299999297299300300299299299299999999999999999999999999999999999999999999999292292291290289291290291291291291291291292292293293292293293293292293293292294295294294294293293294293294292294293292294294296296297298298299298298297295298297297298298298299300301301301299301303304304306305305304303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299297294293291290289289290291292291291291291291291291291291292292293293293293294294294294294295294294295295295295294295294294294295294293293293293293293294295295295295295296296296296295295295296296296295295295293292291289288286284281280279280279279280280281281281280281280281281281282283284284285999999295294294999293292292292292292292292292292292293294294294294294295295296295296296296296296296297298298298297298298298299299299299299299299299300299300300300300300300300299299300300300300300300301300301300300301301302302303303303304304304304304304305306306306306306307307307308308308307307307306306306306307306306306306306306306306305305305305305305305305304305305305305305305305304304303303303303303303303303302302302301301301301301301301301301301301301301301301301301301301301302302303303303303303303303303303304304304303303303304304304304304304304304304304304304304304304304304304304304304304304304304305305305306306306306306306306306307307307307307307307307307307307307307307307307307307308308308308308308308308308308309309309309309309310310310310310310311311311311310310311311311311311310310310311311311311310311311310311310311310310310310310310310310310310310310310310310310310310310310310309310310310310310310309309310309309309309309309309309308308309309309309309309309309309308308308308308308307307307307307307307307307306306306306306306306306305306305305305305305305305305304305304305304305305305305304305305305305305305305305306306306305305305305306305305305305305305304304304304304304304303303302302301301301301301301300299300300300300300300300301300301301301300301301301300301301300300301300300300300300300300300299299299299299299298298299299298298298299298299299299299299300299299300300300299299299299299298298298297297297297297297297297296296295295295295294294294294294294293293293293292292292292292292292292292292292292292292292292292292292292292 999999999999999999999999999999999999999299999999999999299299300299299298298297999999999999999999999999999999999999999999999291290290290291291291291291290291291292293293294293293295293293293293293293294293294294293292292295295293293293292293292296296300298298298298298298298297298298999999300298301301300300300301303304304305303304305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301299296295294292290290290291292291291291291291291291291291291292292293293293293293294294294293294293293295295295295295295294295295295294293293293292293293294295295295295296296296296297296295295295295295295294293292290288287286284281280280278278279279280280281281281281281281281281281281282283284999999294296295293294294293292291292291292292292292292293293294294294294294295296295296296296296296297297297298297298298298298299298299299299299299299300300300300300300300300300300300300299299300300300300300299300300301301302302302303304303303304304304304304305305306306306306307307307307307307307307306307306306306306306306306306306305305306305305305305305305305305305305304305304304304304304303303303303303302302302302301301301301301301301300301301300300300300300300301301301301301301301301302302302303303303303303303303303303303303303303303303304304304304304304304304304303303303304304304304304304304304304305305306306305306306306306306306307307307307307307307307307307307307307307307307307307307307308308308308308308308308308308309309309309310310310310310310311311311311310310310311311311311310311310310310310311311311311311310310311310310310310310310310310310310310310310310310310310310310310310310310310310310310310310309309309309309309309308309309308308308309309308308309309309308308308308308308308308307307307307307307307307307306306306306306306306306305305305305305305305305304304304304304304304304304305305304304304305304304304305305305305305305305304305305305305305305305305304304303303303303303303302302301301301301301301301300300300299300300300300300300300300301300300300301301300300300300300300299300300299300299299299298298298299299298298299298298298298298299298299299299300299300300299300299299299299299298298298298297297297297296296296296296295295295295294294294294293293293293293292292292292291291291291291292292292292291292292292292292292292291292291 999999999999999999999999999999999999999299999999999298298297298298297298298296295297999999999999999999999999999999999999999291289291291290290290290289290290289292293292292293293295294293293293293294293292293293293293294296294294293293294294295295298296297298298297299299298298298999999999999299301302300298302303302303307307306304302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300296294293292291290289290290290290291291291290291291291292292292293293293293293293293293294293294294295294294293294295295295295294294294293293293293293293294294295295295296295296296296295294294295294295293291291290284285284281280279278278279279280280281281281281282281282282282282283283284283999292295295295294294295295292292291292291292292292293293293294294294294294295295296296296296296296297297297297298298298299299299299300299299299300300300300300301301300300300300300300300299300299300300300300300300301301301302302303304304303303304304304304304305305305305305306307307307307307307306306306306307306306306306306306306306305305305305305305305305305305305305304304304304304304303303303303303303302302302302302301301301300300301301300301300300300300300300301301301300300301301301301302302302302303303303303303303303303303303303303303303303304304304303303304304303303303304304304304304304304304305305305305305305305305305306306306306306307307307307307307307307307307307307307307307307307307307308308308308308308308308308309309309309310310310311311310311311311311311311311311311311311311311311310311311311311311311311311311311310310310310310310310310310310310310310310310310310310311310310310310310310310310310310310309309309309309309309309308309308308308308308309309309309309309309308308308308307307307307307307307307307307306306306306306306306306306305305305304305305304304304304304304304304304304304304304304304304304305305304305305305305305304304304305305305305305305305304304304304303303303303302302301301301301301300301300300300300300299300299300300300300300300300300300300300300300300299300300300300299299299300299299298298298298298298297298298297298299299299298299299299299299300300300299299300299298298298298298298297297297296296296295295295295295294294294294294293293293293292292292292292291291290290290290291291291291291291291291291291291291291291291 999999999999999999999999999999999999999999999999999296297298299297298298299296297299297999999999999999999999999999999999999999290291290291290291290290290290290290291291292293293294293293292292294294293292291293293293294294294295292293294294294292296297297299300300299298297299298999999999999999303301301301303307303302307304302305303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296292292292291290290289289288288290290290290291291291291291292292292293292292293293293293293294294294294294294295295295295295294294294293292293292293292293294295295295295295295295295295294294294294293292290290283281282280279278277277278278279280280281280281281282282282281281281282284283999999999999294294294294295294293292292291291292292292292293293294294294293294294295294295295296296296297296297298298298299299299299299299300300299300300300300301300300300300300300301301300299299299300300299300300300301301301301302303303303303303304304304304304305304305305305305305306306306306306306306306306306306306305305305305305305305305305305305305305304304304304304304304304304303303303303302302302302302301301301301301301301301300300300300300300300300300300300300301300300300301301301301301301302302302302303303303303303303303302302303303303303303304303303303304303303303303303304304304304304305305305305305305305305305305305305306306306307307307307307307307307307307307307307307307307307307307307308308308308308308308308308308309309309310310310311311311311311311311311311311311311311311311311311311311311310311311311311311311311310310310310310310310310310310310310310310310310310311310310310310310310310310310309309309309309309309309309308309309308309308308308308309309309309308308308308308308308307307307307307307307307306306306306306306306306305305305305305305305304304304304304304304304304304304304304304303304304304304304304305304304304304304304303304304304304304304304304304304303303303303302302301301301300300301301300300300300300299299299299300299300299299299300300300300299299299300299299299299299299299298299299298298298297297297297297296297296297298298298298299299299299299299299299299299299299299298298298298298297297297296295295295294295295294294294293293293293292292292292292291291291291290290290290290290290290290290290290291291290291291290290290290 999999999999999999999999999999999999999999999999999296296295300297297297298299297297297297296296999999999999999999999999999999291291291291291289290290291290290291291291293291292293292292292292292294293292293292292294293295293294293292293292293293295295298298298298300298298298295999999999999999999999999999999999999303302303303305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291291291290290289288288287288289290290290291292291291292292292292292293293293294294294294294294294295295295295295295295294294293293292292291292292294294294294294294294294293294295294293293293291289289999999280280278277276277277278278279279280280280281281282282282282283283284283280999999999999294293292293292293292291291291290291291291292292293293293293293294295294294294295295295296296296297298299299298298298299299299299299300300300300300300300300300300300300300300300299299299299300300300300300301301301301302302303303303303303303304304304304304304304304304304305305306306305305305305306305305305305305305305305305305305304305305304304304304304304304304304303303303303302302302302301301301301301300300300300300300300299300299299299299299299300300300300300300300300300301300301301301301301302302302302303303302302302302303303303303303303303303303303303303303303304304304304305305304304304304305305305305305305305305306305306306306306306306307306306306307307306306306306307307307307307307308308307307308308308308308309309310310310310311311311311311311311311311311311311311311311311311311310310310310311310310311310310310310310310310310310310310310310310310310310310310310310310310310310310309309309309309309309309309309309309308309308308308308308308308308309308308308308308308308308307307307307307307307307306306306306306306306306305305305305305305305305304304304304304304304304304304303304303303303304304304303303304304304304304304304303303304304304305304304304304304303303303302302302301301301300300300300300300300300299299299299299299299299299299299299300300299299299299298298298298298299299298299298298298297297297297297297296296296296296297297297298298298298299298298299299299299299298298298298298297297297297296295295295295294295294294293293293293292292292292292291291291290291291290290290290290289289289290290290290290290290290290290290290290290 999999999999999999999999999999999999999999999999999999999296999999293296298298298296297297297297297999999999999999999999999999290291291292291290291291291290290291291291292292293291292292292291292293293292293292292293293293293293294292293293294293293296295296299299299299298999999999999999999999999999999999999999999999999300306304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290291291289289288287287288288289290290291291291291291291291292293293294294295295295294294293294295295295295295295296295295294293291292291291292293294294294294294294294294295295294293293291291290999999999999279276276276277277278279279279280280280281281282283283283283285285282999999999999999293291291291292292999290290291291290291292292292293293293294294295295295294294295296295296297297297298299299299299299299299300300300300301300300300300300300300300300300300300300300299299299300299299300300300300301301302303303303303302302304303304305304304304304304304304305305305305305305304305305305305305305305305305305305304304304305304304304304304304304303303303303303302302302302301301301300300300300300300300300300300300299299299299299299299299299299299300300300299299300300300301301301301301302302302302302302302303303303303303303303303303303303304303303303303304304304305305305304304304304304304304304305305305305305305305306305306306306306306306306306307306306306307307307307307307307307308308307308308308308309309309309310310310310311311311311311311311311311311311311311311311310311310310310310310310310310310310310310310310310310310310310310310310310310310310310310310310310310310309309309309309309309309309309309309309309309309308308308308308308308309309308308308308308308307307307307307307307306307306306306306306306306305305305305305305305304304304304304304304304303303304303303303304303303303303303303304304303303303303303303303303303304304304304304304304304303303303302302301301301300300300300300300300300300299300300299299299299299300300300299299298299299299299299298298298299299299298298298298297297297297297297296296296296296296299296297297298298297298298298298298298298298298298298298297297297297297296295295295294294294294294293293293293292292292292292291291290290290290290290290290290289290289290290290290290290290289290290289289289289289 999999999999999999999999999999999999999999999999999999999999295297999999999298296294295296296296298296999999999999999999293999999292292292291290291290290290290290291291290291292291291291292291292292292291292293293292294293292293293292293294295295294296295296297297297299297999999999999999999999999999999999999999999999999999999999303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290289286285287288287288289290290290291291291291291291293293295295295295295295294293294294294295295294294296296296294294294292292291291292293294294294294295294294294293295294292292291291289999999999999275276277277278278278279280280280280280281282282283283283285286285282999999999999999291290289999999999999289290291290290290292293292293293293294294295295295295295296295295296297297297298299299298299299299299300300300300300300300300300299299300300300300300300300300301300300300300300300300300300301301302302303303302302303303303303304304304304304304304304304305305305305304304304304304304304304305305305305305305304305305305305304304304304304304304303303303302302301301301301301300300300300300300300300300300300300299299299299299299299299299299300299299299299300300300300300301301301301302302302302302302303303303303303303304304304303303303304304304304304304304305305304304304304304304305304304305305305305305305306305305306306306306306306306306307307307307307307307307308307308308308308308308308309309309309309310310310310311312311311311311312311312312312312311311311311311311311311310310310310310310310310311310310310310310310310310310310310310310310310310310310310310310310309309309309309309309309309309309309309309309309309308308309308308309309308308308308308308307307307307307307307307307307307306306306306306306305305305305305305305305305304304304304304304303304304303303304303303303304303303303303303303303303303303303303304303304304304304304304304303303303302302302301301300300300300300300300300300300300300300300300299300300300299300299299298298299299298298298298298298299298298298297297297298297297297297296296296296296296298297297297297297297298298298298298298298298298297298297297297297297296296295295294294294294294293293293292292292291291291291291291290290290290290290290290289289289289289290290289289289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999297999999999296295296296297298298298303999999999999999999294999293292293292291292290290291290289289289290288289291290291291292292291292292292292292292292293292293291293292292294295295296294295295296298296297296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288287286287287287288289290290289290291291291291292294295295294293292294293293292292292293294295294295295295295295294294293292291290292293293294293294294294294294294294294293290288999999999999999275276276277278278279279280280279280280280281282282283284284285285284282999999999999999291291999999999999999289289290290291289291292292293292293293294294294295294294295295295295296296297298298298298298298299299299299300300300300299299299299299299299299299299300300300301300300300300301300300300300300300301302303303302302302302302303303304304304304304304305304304305304304304304304304304304304304304304304304304304305305304304304304304303303303303303303302302302301301301300300300300300300300300300300300300300299299299299299299299299299299299299299299299299299299300300300300300300300301301301301301302302302302302302303303303303304304303303304304304304304304304304304304304304304304304304304304304305305305305305305305305305305305306306306306306306306307307307307307307307308308308308308309308308308309309309310310310310311311311311311311311312312312311312311312311311311311311311311310310310310310310310310310310310310310310310310310310310310310310310310310310310310310310309309309309309309309308308309309309309309309309308309308308308308308308308308308308308308307307307307307307307307307306306306306306306306305305305305305305304304304304304304304303303303303303303303303303303303303303304303303303303303303303303303303302303303303303303303303303303303302302302301301301300300300300300300300300300300300300300300299299299299299299299299299298298298298298298298298298298297297298298298297297297297297297297296297296296296296296296297297295297297297297297297297297297297297297297297297297297297296296296296295294294294293293293293292292291291291291291290290290290289290290289289289289289289289289289289289289289288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999297999999999294295293297297298299301299298300294298297295294294293291291291291291291290291290289290290291289289290290290291291291290292291292293292292292293293291291292293291293292295296294296296295298301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286287287286288289290290290291290291291292293294295294293292999999999999292292291293294294294295296295296295295294293292292291292293293293294294294295294293294294294293291287999999999999275276277277278278279279280280280280280280281282282282283283284285285284999999999999999294293999999999999999999289290290289290290291292292293293293292293294294294294294294295295296296296297297297297298298298299299299300300300300300299299299299299299300299299299300300301301301300301301300300300300300300300301301302302302302302303303303304304304304304304304304304304305304304304304304304304304304304304303303303304304304304304304304304303303303303303302302302302301301301301300300300300300299300299300300299299299299299299299299299299298299299299299299299299299299299299299300300300300300301301301301301301302302302302302302303303303303304304304304304304304304304304304304304304304304304304304304304304305305305305305305305305305305305306306306306306306306306307306307307307307308308308308308308308309309309309309309310310310311311311311311312312312312312312311312312311311311311311311311311310310310311310310310310310310310310310310310310310309310310310310310310310310310309309309309309309309309309309309309309309309308308308308308308308308308308308308308307308308308308308308308307307307307306307306306306306306306305305305305305304304304304304304304304304304303303304303303303303303303303303303303303303303302302302303303303303303303303302302302302302302302301301301301300301300300300300299299300300300300300300299299299299299299299299299299298298298298298298298298297298298297298298297297298297297297297297297297296296296297296296297298296297297297297297297297297297297297297297297297297296296296297296296295294295295294293293292293292291291291291290290290290290290290289289289289289289288289289289289289289289289288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999296296292294296298299301297298297297298295293294293292999999999291291292291290291290290289289288289289291290290291290291291291292292291293291291290291291292292293294294294297293293293294299303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287287287288289290290290290291292293293293293294294293292999999999999999999290291292292293293294294294294294294293291290290291291291293292293294295293292292293292292999999999999999999274276277276278278279279280280280280281281281282282282282283284284284282999999999999293292294290999999999999999288289290290290289291291292292292293293293294295294294294294294295295295295296297297297297298298298298299300299299299299299299299299299299299300300300300300300299299300300300300299299300299300300301302302302302303303302303302303303303303303303304304304303303304303303303303303303303304303303303304303303303304303303303303303303303302302302302301301301301300300300300300300300300299299299299299299299299299299299299299299298298298298298299299299299299299299299299300300300300300300301301301301301301302302302302302303302303303304304304303303303304304304304304304304304304304304304304304304304304304305305305305305305305305305305305305305306306306306306306306307307307307308308308308308309309309309309309309310310310311311311311311311312312312311311311311311311311311311311310310310310310310310310310310310310310310310309309309310309309309309309309309310310309309309309309309309309309309309308308308308308308308308308308308308308308308308308307307307307307307307308307307307307307307306306306306306305305305305305305305304304304304304304303304303303303303303303303303302303303303303303303303302302302302302302302302302302302302302302302302302302301301301301300300300300299299299299299299299299299299299299299299299299299299298298298298298298298298298297297297297297297297297297297297297296297297296296296296296296296296296296296296296296296296296296297296296297296296296297297297296296296296295295295294294295294294292293292292291291291290290290290290290290290289289289289288288288288288288288288288288288288288288288287288288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999296999999999295299298999298297297299296999999293999999999999292292291291291291290290289291290290292291290290291291292291290291292293293292290290290291291291293295294295294293294294299299298296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287287288289290290290291292293293293292291293293292291999999999999999999999293293293999293294292292292292293291290289289290290291291292292293293293291290291291999999999999999999274276276277279278279280280280281281280281281281282282282283283283284284283999999999291292292999999999999999999290289289289289290290290291291291292293293293294294295295295295294295295295295295297297297297298298299299299299299299299299299299299299299298299300300300300300300299299299299299299299299300300300301301302302302302303303303302303303303303303303303304304303303303303303303303303303303303303303303303303303303303303303303303303303302302302302302302301301301301300300300300300300300300300300299299299299299299299299299299298298298298298298299299299299299299299299299299300300300300300300300301301301301301301301302302302302302303303303303303303303303304304304304304304304304304304304304304304303303304304304304305304305305305305305305305305306306306306306306306306306307307307308308308309309308309308309309309309310310310310311311311312312311311312312311312311311311311311311310310309309310310310310310310310310310310310310309310310309310309309309309308309309309309309309309309309309309309308309308308308308308308308308308308308308308308308308307308307307307307307307308307307307307307306306306306306305305305305305305304304304304304303303303303303303303303303303303303303302303303303302302302302302302302302302302302302302302302301301301301301301301300300300300300299299299299299299298298298298299298299299299299299299298298298298298298298298298298298298297297297297297297297296297297297297297296296296296295296295296296296296296296295295296296297296296297296296296296296296296296295295295296295295294294294294294293292292292292291291291290290290290289289289289289289289288288288288288288288288288288288288288288288287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297297297297298297294999295294293293999999295293291292292292291290290291290291291292290291291292292292293292291293292293291291291291292293292296296296296292294293297298302295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288289289289291291292292293292292291292292292292999999999999999999999999999999999999999999999999999999999289288288287289290290291291291292293293291290288999999999999999999275276277277278278279279279280281281281280281281282283283283283284284284284283283999287293293999999999999999999289290289289289289290290290291291291292293293293294294295295295295295295296296296296296297298298298298298299299299299299299299299299299299299299299300300300299299299299299299299299299299299300300301301302302302302303303303303303303303303303303303304303303303303303303303303303303303303303303303303303303303303303303303302302302302302302302302301301301301301301301300300300300300300300300299299299299299299299299299299299298298298298298298298299298298298299299299299299300300300300300300301300301301301301301301301301302302302303303303303303303303303303304304304304304304304304304304304304304303304304304304304304304305305305305305305305305306306306306306306306306306307307307308308308309308309309309309309309310310310311311311311311311311311311312311311312311311311311311311311310310310310310310310310310310310310310310310310310310310310309309309309308308309309309309309309309309309309308308308308308308308308308308308308308308308308307307307307307307307307307307307307307307307307306306306306306306305305305305305305304304304304303303303303303303303303303303303303303303302303303303303302302302302302302302302302302301302301301301301300300300300300300300300300300299299299299298298298298298298298299299298299298298299298298298298298297298298298298297298297297297297297297297296296297296297297297296296296295295296295295295294294295296297296296296296296296296296296296296295295295296295295295295294294294294294293293292291292292291291291290290290290290289289289289289289288288288288288288288288288288288288288288288287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295295999297298298295296295999293293294999292293293292293292291290289290289290291292290291291292292292292292292292291292292291291290292293294292292292295294295299298297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285288999999999999999289289289289288289290291292292293293291291999292293293999999999999999999999999999999999999999999999999999999999999999999291999999999999999999999999292292292999999999999999999999274275278279279279279280279280281281281281281282282282282283283284284284284283284283282999289289999999999999292291291290289289290290289289290291291292293293293294295295295296296295295296296297297297297297298299298299299299300299300300300300300300300300299299299299299299299300300299299300300300300299299299301302302302302302302303304304304304304304303304304304304304304303304304303303303303303303303303303303303303303303303302303303302302302302302302302301302302302301301301301301301301301300300300300300299299299299299299299299299299299299299299299299299299299298299299299299299300300300300300300300301300301301301301302302301302302302302302302303303303303303303303304304304304304304304304304304304304303304304304305305305304304305305305305306306306306306306307307307307307307307308308308308308309309309309309309310310310310310311311311311311311311311312312312311311311311311312311311311311311310310310310310310310310310310310310310309310309310310310309309309309308309309309309309309309309309309309308308309308309308309308308308308308308308308308308308307307307307307307307307307307307307306306306306306306306306305305305305305305305305304304304304304303304304304303303303303303303303303303303303303303302302302302302302302301302302301301301301300300300300300300300300300300299299299299299299298298298298299298299299298299299299298298298298298298298298298298298297297297297297297296297296296296296296296296296296296296296296296295295295295295295295296296296297297296296296296296296296295296295296295295295295294294293294293292292291292292291291291291291291290290290290289289289289289288288288288288288288288288288288288288287288287287287287287287286287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999296296296999999291294293999294296296295295297295294293294290291292292293291292291290290289289290289289290290291291292291290291291291290291290289291290290290291291292292294293293295296294296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286286287286287287287287286287288288288288289290291291290291290289291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273273276278279279279278279278279280280280281281281282282282283283283283283283281280281281999999999999999999290290289290289288288288288288289289290290290291292293293294294295295295295294295295296296296297297298298298298299299299298299299299299298299299298298298298298298299299299299299299300300300300299299299300300301301301301303303303302303303303303302303303303303303303303303303303303302303303302302302302302302302302302302302302302302302302301301301301301301301301301301300300300300301300300299299299299299299299299298298299298298298298298298298298298298298298298298298298299299299299299300300300300300300300301300301301301301302302302302302302302302303303303303303303303303304304304304304304304304303303303304304304304304304304304304304305305305306306306306307307307307307307307307307307308308308308308308309309309310310310310310310311311311311311311311311311311311311311311311311311311311310310310310310310309309309309309309309309309309309309309309309309309309308308308308308308308308308308308308308308308308308308308308308308308308308308308307307307307307307307307307307307306306306306306306306305306305305305305305305305304304304304304304304303303303303303304303303303303303303303302302303303302302302301301301301301301301301301301300300300300299299299299299299299299299299299299298298298298298298298298298298298298298298299298298298298298297298297297297297296297297296296296296296296296296296296296296296296296295296296295295295295296296296296296296296296296295295295295295295294295295294295295295294294294294294294293292291291291291291291290290290290290289289289289288288288288287287287287287287287288288287288287287287287287287287287286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298291296296294295295295297297295294294293294293291291293293292291291291290290288288288290289289290290290290291290287290289289289289288290289289289292293293295293293293293291294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286285286286287287287287288288288287288289289289290291291289290289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273275279278278279277278279279279280279280281281281282282282283283283283282281281280279999999999999999999999999291289287287288288287287289289289289290291291291292293293294294294295295294294294295297296297296297298298298298298298298298298298298297298298298298298298298298298299299298299298299299299300300300300299300300300300301302302302302302302303303303303303303303304303303303302303302302302302302302302302302302302301302301301301301301301301301301301301300300300300300301300300300300300300300299299299299299298298299298298298298298298298298298298298298298298298298298298298298299298299299299299299300300300300300300300300301301301301301301301301302302302303303303303303303303303304304303304304304304304304304304304304304304304304304305305305305305306306306306306307307307307307307307307307308308307308308308309309309309310310310310310310311310311311311311311311311311311311311310310310310310310310310310309309309309309309309309309309309309309309309309309309309308308308308308308308308308308308308307307307307307307307307307307307307307308307307307307307307307306306306306306306306306306306306306305305305305305305305305304304305304304304304304303303303303303303303303303302302303303303302302302302302302301301301301301301301301300300300299299299299299299299299299299299299299299298299298298298298298298298298298298298298298298298298298297297297299298297297297296297296296296296296295295296295296296296296296296295295295295295295295295295295296295295295295295295295295295295295295295294295295294294294294294294294294293293292291291291291291291291290290290289289289288288288288288288288287287287287287287287287287287287287287287287287287286287286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999999293294295295296297297295296295295293294293293293292292291291291291289287288288290290289290289289289290289289289289288287287289289289290290291293291295293295296296291294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286285285285286287287288288287288288288288288289289290290290290289289289287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274275279280279278278278278279279280280280280280281281281281282282283283282282281280280279999999999999999999999999999999999286287287288288288289289290291291292292292294294293294294295295295295294295297296297297296297297298297297298298298298298297297297297298297297297298298298298298298299299299299299300300299300300300299299300300302302301301302302302303303302303303303303303302302302302302302302302301302302302302302302301301301301301301301301301301301301301300300300300300300300300300300300299299299299299299299298298298298298298298298298298298298298298298298298298298298298298299299299299299299299299299299299299300300300300300301301301301301301301301301302302302302303303303303303303304304303304304304303304304304304304304304304304305305305305305306306306306306306306306306307307307307307307308307308308308309309309309309309310310310310310310310311310310310311311310311310310310310310310310310310310309309309309309309309309308308308308308308309309308309309309309308308308308308307308307307307308307307307307307307307307307308307307307307307307307307307307306306306306306306306306306306306306305305305305305305305305305304304305304304304304304304303303303302302303302302303302302302302302302302302301301301301301300301300300300300300300299299299299299299299299299299298298299298298298298298298298298298298297298297297297297298297297297297297297297297297297297297296296296296296296296295295295296295296296296296296295295295295295295294295295295295295295295295295295295295295295295295294294295294294294293294294294294294293293293292291291291291291290290290290289289288288288288288288288288287287287287287287287287287287287287287287287287287287287286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999999292294297297296296296296294293293294293293292292291290290290290290287288289288289288288289289289290289289289289288287289288290290290291291292293293293293292293297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285286286287287287288288289288288288288288288289289289290290288287999999999999295295296297296999999999999292291291291290288999286286284283284283284284284283283282999999999999999999999999999999999999999276278277278280280279279278278278279280280280280281281281281281282282282282281281281281279280281999999999281280999999999999999999288287288289288289290290290291291293293294294294294294294295295295296296297296296296296297297297297297297297297297297297297298297297297297297297297298298298299299298299299299299299299299300300300300300301301301301302302302303303302303303302303303302302302302302302302301302301301301302302302302301301301301301301301300300300300300300300300300300300300300300300300300300299299299299298298298298298298298299298298298298298298298298298298298298298298299299299298299299299299299299299299299299300300300300300300301301301301301301301301301302302302302303303303303304304304304304304304304304304304304304304304304304305305305305305306306306306307307307306307307307307307307307308308308308308309309309309309309310310310310310310310310310310310311311310310310310310310310310310309309309309309309309309309309308308308308308308308308309308308308308308308308308308307307307307307307307307307307307307307307307307307307307307307307307307306307306306306306306306306306306306306306306305305305305305305305305304304304304304304304304304304303303303302302302302302302302302302302301301301301301301301300300300300300300299299300300300299299299299299299299298298298298298298298298298298298297297297297297297297297297297297297297297297297297297297297297297297296296296296296296296295295295295296295296296296296296295295294295294294295295295295295295295295295294295294294294295294295295295295294294293294294294293293294293292292292292291291291290290289289289289288288288288288288288288287287287287287287287287287287287287287287287287287287286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295999999999999999297296297297297297296297295294293293293292291290290290291290288289287288289288288288289290289289289290288289288286287288290291292288289292294293295296296295299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286286286287287288288289289288288289289289289289289289289290289288287999999999999295297296297296295294293291291291290290289288287285284284284285284285285285285284283282999999999999999999999999277277273275276277278278279279278278279278279279280281280280280281281281282282282282281281281281281279280281284999999282284284282284285999999288288288289289289289289289289290290293294294295295295295296297297297296296296296296296296297297297297297297297296296296297297297297297297297297297298298298298298298298298298298299299299299300300300301300301301302302302302302303302302302302303303303302302302302303302302302301301301301301301301301301301301301301301300300300300300300300300300299299299299300300299300299299299299299298298298298298299298298298298298298298298298298298298298298298299298299299299299299299299299299299299299299300300300300300300301301301301301301301301301302302302302303303303304304304304304304304304304304304304305304304304304304305305305305305306306306306306306307307307307307308307308308308308308308308309309309309309309309310310310310310310310310310310310310310310310310310310309309309309309309309309309309309309308309308308308308308308308309308308308308308308307308308307307307307307307307307307307307307307306306306307307307307307307307307307306306306306306306306306306305306306306305305305305304305305305304304304304304304304303304303303303303303302303302302302302302302302301301301301301301301300300300300300300300299299300299299299299299299298298298298298298298298298298298297298297297297297297297297297297297297297297296296296297297297297296297297297296296296296296296295295296295295295295295295296296295295295295294295295295295295295295295295295295295295295294293293294294294294295294294294294294294294293293292292292291291291291291290290289289289289288288288288288288288288287287287287287287287287287287287286287287287286286287286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296296296297297296295294292291293292291290290290289290288287289287288288287288288288289288289289288287287287287287290290291288288293294295295293292295292293294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286286288288288288289289289288289288289289290290289290290289288288288999999999296297297296296296294292292291291290289289288287286285285285285286286285286285285285285284284283282283282280276278277277276275277277277277278277278278278278278279280280280280280280281281281282281281281281281280281280280281281999999285284284285285285285284284285287288289289289289289288289288291293294294295294295296297297296296296296296295296296296297296296296296296296296296296297297297297297297297297297297297297298297297298298298298298299299299299300300301301301302302302302302302302302303303302302302302302302302302301302302303302302302302302301301301301301301300301300300300300300300300300299299299299299299299299299299299299299299298298298299299298299299298298298298298298298298298298299298298299299299299299299299299299299299299299299299300299300300300300300301300301300300301301301301302302302303303303304304304304304304304304304304304304304304304304304304305305305306306306306306306306306306307307307308308308308308308308308308308308309308309309309310309310310310310310310310310310310310310310310309309309309309309309309309309308308309309309308308308308308308308309308309309308308308308308308308308307307307307307307307307307307307306307307306307307307307307307307307307307307306306306306306305305305305305305305305305305305304304304304304304304303304303303303303303303303302302302302302302302302302301301301301301301301300300300300299299300299300299299299299299299299298298298298298298298297297298297297297297297297297297297297297297296296296296296296296296296296296297296296296296296296296296296296296295295295295295295295295295295295295295295295294295295295295294294295295294295294294295294295295295294295294294294294294294293293293292292292292291291291291291291290290290290290289289288288288288288288288288287287287287287287287287287287287287286287286286286286286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296295296296296295293291291291289289290289289288289289288287288288288286287288288289286288289288287287288286286287288289290291293293292292292291291292293297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288287287288288288288289289289288289289290289289289289290289287287287999999999294295294295295295294293292292292292289290288288287287287287288288287287287286286286286286286285284284282280280280277278274276277277277277277277278278278278279278278279280280281280280281281281281281280281281281279280279278280282999999286286284283285284286285285286286288289289289288289288288289289290293294294294294295295296296296296297296295295296296296296296296296296296295296295296296296296296296297297296296297297297296297297297297297297297298298299299299299301300301301302302302302302302302303303302302302302302302302302302302303302302302302301301301301301301301300300300300300300299299299299299299299299299299299299299299299298298299298298299299299299299299299299299298299298298298298298298299299299299299299299299299299299299299299299299300299299299300300300300300300301300301301301301301302302302303303303303303304303304304304304304304304304304304304304304304305304305306305306306306306306306306306307307307308308308308308308308308308308308308308309309309309310309310310309310310310310310310310310310310309309309309309309309309309309309309308309308308308308308308308308308308308308308308307308308308307307307307307307307307307307307307307307307307307307307307307307307307307307307307306306306305305305305305305305305305305305305304304304304304304304303303303303303303303303303302302302302302302302302301301301301301300300300300300299300299299299300299299299299300299298298298298298298298297298297297297297297297297297297297297297297297297297297296296296296296296296296297296296296296296296296296296296296295295295295295295295295295295295295295295294295295295295295295294294294294294294294293293293294295295295295295295294294294294293293293292293292292291291291291291291290290290290289289289288289288288288288288288288287287287287287287287287287287287286286286286286286286286286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295295296296296296294293290292290289290289289290290289290289288286286284287287288288288288288288286289288287286286288289289289289290291291292288288295293292291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287287288288288288288289289289288289290290289289290290289286285287286999999293293293293294294293293293293293292291290289289289290291291291290290290289289288289288288288287286285283281279278278277276277277277277277278277278278278278278278279280280280280280280281281281281281281281281282280279281280281281999999286285285285285285285286286286287288288287289289289288288289289289291292294294293293293294294295296297296296296296297297297297296296296296296296295295296296296297296297297296296297297297297296296296297296296297298298299299299299299299300300301301302302302302302302302302302302301302301302302302302302302302302302302301301301301301301300300300300300299299299299299299299299299299299299299299299299299299299299299299299299299299299300299299299299299299299299299299299299299299299299299299299299299299299299299299299299300300300300300300300300301301301301301301302302302302303303303303303303303303304304304304304304304304304304304305305305306305305305305305306306306306306306307307307308308308308308308308308308308308308308308309309309309309309309309310310310310310310310310310310310309309309309309309309309309309309308309309308308308308308308309309308308308308308308308308308308307307307307307307307307307307307307307307307307307307307308308307307307307307307306306306306305305305305305305305305305305305305304305304304304304303303303303303303302302302302302302302302302301301301301301301301300300300300299299299299299299299299299299298299299299298298298298298297298297297297297297297297297297297297297297297296297297297296296296296296296296296296296296296296297296296296296296295295295295295295295295295295295295295295295295295295295295295295295294293294294295295295295296296296296296295295295295294295294294293293293293292292292292291291291291291290290290289289289289289289289289288288288288288287288288287287287287287287287287286286286286286286286286285285285285