2019 9 7 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122121122125126128128127128128125124123123123122120115113111110108108108108108108109109111112112113115117117117117117115111111109108108106104102102100100100 99 98 98100100 99100100100 99 94 95 96 96 94 97 98999999999999999999999999999999999999999999999999999999999999999999999118118117117117116117117116116116999999999118118118118117117117117118118118999999999119119119118118117116115115114114113113113112112112111111112112112112112112112113113112111111110109109108107107999106105105104104104104104104103104104104105105105106107107108108108109109110110110110110111111111111110110110110110109109109109109109109109109109109109110110110110110110111111111111111111112112112112112112112112112112112112111112112112112112112112112112112112112112112112112112112112112112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117116121122124125127128128130129129128125122120119117116113112110109107107107108108108109109110111111112114114116117116115113112111110109108108108105104102100100100100100 99101102101102103102102 98 99 98 96 98 96999999999999999999999999999999999999999999999999999999999999999999120119119118118118117117117117117117116999999117117117117117117117117117117117999999118118118118118117117116115115114113113112111111111110110110110110110110110111111111111111111110110109109108108107107106106106105105104104104104104104104104105105106106107107108108109109110110110111111111111111111111111111111110110110110109109109109109109109109109109109110110110110110111111111111112112112112112112112112112112112112112112112112112112112112112112112112112112112112112112112112112112112112112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117118118120123125125126130130128127124123121119116113111109109108108105106108110109109109110111112113114115115115115115115111109108108109109107106105105103101101101101103104105105104104104103102 99 97 97 99999999999999999999999999999999999999999999999999999999999999999999121121120120119119119118118117118117117117117116116116116116116116116116116116116116116116116116116117117116116115114114113112112111110110109109109108108108108108109109109109109109109109109109108108108107107107106106105105104104104104104104104105105106106107107108109109110110110111111111111111112112112112112111111111111110110110109109109109109109110110110110110110110110111111111111112112112112112113113113113112112112112112112112112112112112112112112112112112112112112112113113113113113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136142140139138135135136135137137136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113122121121122126128129129130130128125122119117114112111110111111110108105105108110110110111112113114114114114113113113113111109109108109108106106105105104103103103104105105105105105104101 99 99 93 93999999999999999999999999999999999999999999999999999999999999999999999999999121121120120120119119119118118118117117116116116116115115115116116116116116116116116116116116116116116115115114114113112112111110110109109109108108108108108108108108108108108109108108108108108108107107107107106106106105105105105105105105105106106106107108108109109110110111111111112112112112112112113113112112112112111111111110110110110110110110110110111111111111111111111112112112112113113113113113113113113113113113113112112112112112112112112112112112113113113113113113113113113113113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139140141140139137138138138138138140138135132999999999131135130129131132999999999999999999999999999999999999999999999999999999999999999999999999999999108129109110128112127128129131131130128127124119116115114113111111108108107106104106108108110112112113112112113113112112111112110109109108108107106106106106106105105106106106106107107105101 98 97999999999999999999999999999999999999999999999999999999999999999999999999999999122122122121121120120120119119119118118117116116115115115115115115115115115115115115115115115115115115115115114114114113113112111111110109109109108108107107107107107107107107108108108108108108107107107107107107106106106106106105105105105105105106106107107108108109109110110111111112112112112113113113113113113113113112112112112111111111111111111111111111111111112112112112112112112113113113113113113113114114113113113113113113113113113112113113113113113113113113113113113113113113113113113113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147147999999999999999999999999999999999999999999999999999999999999999139139138133135135137137139139140140140140139138138137134135133132132128128128131133133137999999999999999999999999999999999999999999999999999999999999999999999999104 98106999999999999999999133134133129126124121118115117114111110109109107105101102104105108111112113112112112110110110111111109109109108109107107107107107107107107108107107107108106103102102999999999999999999999999999999999999999999999999999999999999999999999999999999999123122122122121121120120120120120119118117116115115115115115114115115115115115115115115115115115114114114114114113113113112112111110110109109108108107107107107107106106107107107107107107107107107107107107106106106106106106106106106106106106106106107107108108109109110110111111112112112113113113113113113114114113113113113112112112112111111111111112112112112112112113113113113113113113113114114114114114114114114114114113113113113113113113113113113113113113113113113113113113113113113113113114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150999999999153152152151151152151149150153150150154148146145146146147145146147146999999999999146145145147149150148146999999999999999999999144140140141141144999999999139139139133133135137137139140140140141141140139138135135134132130129130132133131130131129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118133129126125115115117115111111110110109107103 99100101103105108111112109110111110110109109110108109109109110108108108108108106107107108108108109106105102102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123121122122122122121119120120119118117116115115114114114114114114115115115115115114114114114114114113113113113112112112111111110109109108108108107107106106106106106106106106106106106106106106106106106106106106106106106106106106106106106106107107108108109109110110111111111112112113113113113113114114114114114114113113113113112112112112112112112112113113113113113113114114114114114114114114114114114114114114114114114114114113113113113113113113113113113113113113114114113113113113114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150152152152152152154153153154154153152152152151150149151150148148146146148147146145145145148147999999999999145147147148149148146143140133137137140141144143142144143142141143999134140140140139134137140140140140139139140141140139138136135133130129131132135137133130132131128127118117116999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120132114118124118118114110108107107107104100 98100101103106108109107108108110109108106106106108109109108109109108107108107106107107106107107106108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123123124123123123123122121119118118114118116115114114114114114114114114114114114114114114114114114113113113113113112112112111111110110109109108108107107107106106106105105105105105106106106106106106106106106106106106106106106106106106107107107107107108108109109109110110111111111112112113113113113113114114114114114114114113113113113112112112112112113113113113114114114114114114114114114115115115115115115114114114114114114114114114114114114114114114114114114114114114114114114113113113113114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151152152155154154155155158157158157156157156156154153153153153153154152151150149149148147147146145146145145142141143145145146148149150149148146143141141140142145146146145147147145144142139136131129141141136140143142141138136135135138138136135134134131128126125126133136134125124122120131118117999999999999999999999999999999999999102109107104104999999999999999101 93 94 95 99 92100107119129117121124113106109104107107108107105104 99 99101101105106107109107107108109107107106106106109110110109110109109109109108108107107105105104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124124124125125125125124122121120118118118999999115114113113113113113113113114114114114114114113113113113113113113112112112112112111111110110109109108108107107106106106105105105105105106106106106106106106106106106106106106107107107107107107108108108108109109109110110111111111112112112113113113113114114114114114114114114114114114113113113113113113113113113114114114114114114115115115115115115115115115115115115115114114114114114114114114114114114114114114114114114114114114114114114113113114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151150151152156157158158159160160160159159159157156157156156156155154153151151151150149148148149149147146146145144143144145147147148149149148148149148148147146147147147147148148147147146144143140139139137137139140142144144143138135134134137136132130133133132122121119119128999999999999999999999999999999999999999999999999999999105106105102103101 98 96 97 92 94 91 91 89 90 93 92 91 95103108119115115121124 95 82 95100104106105104 99102102 99 99101104107107108108108109108107107106106106106107108109109109109109110110110111110107104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124124127125125124123125124122121123999999999999999999111112112114116118113113113113113113113113113113113113113112113112112112112112111111110110109109109108108107107106106106105105105106106106106106106106106106106107107107107107107108108108108109109109109110110110111111111112112112113113113113114114114114114115115115115115114114114114114113113113113113114114114114115115115115115115115115115115115115115115115115115115115114114114114114114114114114114114114114114114114114114114114114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151150152153154154155156158159160160160161161160159158157157158158157156155154153152151151150150151151151151150148147144145146147147148148149149148148149150150149148148147149148148148149149148146144142142142142143143143142142141140138137137136132134131125119127124124121119117116125999999999999999999999999114112110108110999999999106106105102101 99 98 94 93 92 92 92 90 91 89 89 90 81 97100103106107106101 96 95101106102102104104103100100 99 95 94 97102106107107107108108108108108105106106106108107108109110111111111112110109110109109106999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125127126126125125123122120119999999999999999999999999112112114115115115115114112112112112112112112112112112112112112112112112112112112111111110110109109108108107107106106106106106106106106106106106106106106106107107107107108108108108109109109109110110110111111111112112112112113113113113114114114114114115115115115115115115115115114114114114114114114114114115115115115115115115115115115115115115115115115115115115115115115115115114114114114114114114114114114114114114114114114114114114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148150153154156156157158159159159159160160161161160160159159159158158158158157155153153152153153153155155154153152150150150150151151151150151150150150149149150150150149148149149149150151152152152149147145145146146145144141139138138137137138138134137137136132128127127123117114112111114116116999110106107107109111109108107105106109104105106105103102 98 96 94 92 90 90 89 89 90 88 91 91 91 93 93 96105109113104108103100100106108104104102100 97 98 94 97104107107108106107107107107105104104104105106106108108109109108110107105107111111107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126130128128127127127125123122119999999999999999999113112111110112114113113112112112112112112111112112112112112112112112112112112112112112112111111111110110109109108108107107106106106106106106106105106106106106106107107107108108108108109109109110110110111111111112112112112113113113113113114114114114114115115115115115115115115115115115115115114114114114114114115115115115116116116116116116116116116116116116116115115115115115115115115115115115115115115115114114114114114114114114114114114114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151151150151154156157158158159160160160160159160160160160161161160160159160159159158157156156155155154154156154155153152154153153153153152152153153154153152152152152152152152152151151151152152152154153153151149149149147147144143143143141139138139141143142141142141138134128123120117116114114114112111109108108108110111109106107109109111108105104103104103100 99 97 94 94 92 90 90 89 89 91 94 92 93 87 98103106109109109108107108111111111109108102 99 96 99100103106107107106107105103103104103102104105106107107106105104104105105110114115109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126128128129130129126127126124122122999999999116113113112111111110111112111110110110110110109108107107107109113114111111112112112112112112112112112112111111110110109109108108107107106106106106106106106105106106106107107107107108108108109109109110110111111111112112112113113113113113114114114114114114115115115115115115115116116116116116115115115115115115115115115115115116116116116116116116116116116116116116116116116116116115115115115115115115115115115115115115115115115114114114114114114114114114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154153152153154155156158158157157158158159159159160160160159160160160159159159157157160160159158156155156156156156155155154154154153152152152152154154155152152152153152152151152152151152153152153154153154153152151151150149148146148148149148145142142144145145143142143140137133126123120117116114115112111110110111110109111107107109111111111109109108105104103101 99 98 95 95 93 95 93 93 92 96 98 97110104106107110111113113113114114114113114111112104 98 93101104106107106106107105102100100100100102102103104104104103102102105107112114118109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130129129130129128127125125122121122120999115113112112112112111111110111111111111111111110110108106104103105106109112115116116112112112112112112112112112111111111110110109109108108107107106106106106106106106107107107107107108108108109109109110110110111111112112112113113113113114114114114114114114114115115115115115115115116116116116116116115115115115115115114115115115115115115116116116116116116116116116116116116116116116116115115115115115115115115115115115115114114114114114114114114114114114114114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153154154154154155156157158158158158156157157158159159160160160160160159159159158158158158159160159158157156156155154154155155155155153153153154153153154154154155152152153153151151152152152153152152153154155154155154153151150149150151150152152149151149149146146145146144144140140140137132127124121120115113111110108107108107109110115114115114114112110110109107105103101100100101103103103100102105109110106110113114114113114117116117116116117116116112 98 97 98102106106105104105105103 98 96 97 97 98 97 96 96 98 97 98 99101104106110114108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126130129130129129129127126124121118121118114114113113112112112111111110112112112113112112112112110109106105103103104107109112114116115115115115112112112112112111111111110110109109108108107107107107107107107107107107108108108108108109109109110110110111111112112112113113113114114114114114114114114114115115115115115115115115115116116116116116116115115115115115114114114115115115115115115116116116116116116116116116116116116116116115115115115115115115115114114114114114114114114114114114114114114114114114114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147150151151152152154155155156157157158158158158157157157158159160159159159159160159158160158158158158158159158157156157156154153154153156154154153153153154153153154154154154152152153152151149152152150152152154154156154155156155154155154154154154154153152152151150149148150150149145145142142144141140133128124122117114113112113110111110111111115117118120117115112110111110107107107105104106106106105107112115118118115116117118117114115116116116116117117118113105 90 91 96 99100102101 97100 99 94 92 93 93 94 94 92 91 91 92 95 98101104105111114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130130129128128129129127126122118116116115114115115113112113111112112112114114115115115116115114113111109108107105108110111113114114113113114113113113113114112111111111110110110109109108108108107107107107107107108108108108109109109110110110111111111111112112113113113114114114114114114115115115115115115115115115115115115115116116116116116116116115115115115115114114114114115115115115115115116115115115116116116116116116116116116115115115115115115115114114114114114114114114114114114114114114114114114114114115115115115115115115114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150149150152152152152153154154156157157157158158157157159158159159159159159159159159159158160159159159158158157156156156157156156156155156155153153153153154153153153153153153154154153151151150149151152152152153153155156154155156156156155155156155154154152152152150149148147148146148145145143142139138137132126123119117115113112113113112113114114117120121123118117113114114114113112114111109110113115116116120121119118118119119119116116116118117116116116116114107 95 91 88 92 96 95 93 91 90 92 92 90 93 89 88 91 91 92 94 95 97103106107106106103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129132131129128129129128126125122119115112112115116115115113112112112114114116117116117117117117116114112113112110110111112112112113112112112113113113113113113113113111111111110110109109109108108108108108108108108108109109109109110110110111111111112112112113113113114114114115115115115115115115115115115115115115115115115115116116116116116116116116115115115115115114114114114115115115115115115115115115115115116116116116116116116115115115115115115115114114114114114114114114114114114114114114114114114114115115115115115115115115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152150151151150150152152153153153154155156157156157156157157158158159159159159159159160159159158158158158157158158158155155154155156155154154151150151152152153154153153153153153152155153151151149152151150152149152152153152155153154155155156156155155155154154153152151150150148149147145145144144142141142140138135130124122122121118117120120119118115113117119120120119117117114115117116119121119120118120121123127124123121122120121121120118117117118118116115116117111105 84 82 83 86 89 89 88 86 87 80 84 78 80 86 87 91 93 98103106111113114101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129132132132131129130129129127126124121119117117120119118117114113113114115115116117117117118117118117116113113113112112112112111112112112112112112112113112112113112112112112112111110110109109109109108108108109109109109109109110110110111111111112112112113113113114114114115115115115115115115115115115115115115115115115115115115115116116116116116116115115115115115114114114114114115115115115115115115115115115115116116116116116116116116115115115115115115114114114114114114113113113113113113113114114114114114115115115115115115115115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150149148148148149150152153153152154155155155156156157156158157158158158158159159158158159158157157157157157156156156157155154154154154154153152150149149150151151152152152151152152150150149150151151149148148151150150151152150153151152154152153155154154154156155152152149149151149149148147146146144141142139138137138135133133133133130128126128128129124118117119119120121120115116117118120123124125125125126125127129127126123122120120121121121122121121119116114114117113104 96 90 92 93 87 88 87 86 84 80 79 78 81 80 80 87 91 98103110118121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131131132132130129129129128127125123123122121121121120119118115115114115115117115116116119119119119119118113113112111111112112112112112112112111110112112111111112112113113112113111110110110109109109109109109109109109109110110110110111111111112112112112113113113114114114115115115115115115115115115115115115115115115115115116116116116116116116116116115115115115115115114114114114115115115115115115115115115115115115115115115115115115115115115115115115114114114114114114114113113113113113113113114114114114114115115115115115115115115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148147146146146147149150151153153154155155154154156157157157157157157158158158158157158158157158158157157156155155154154154154153153153153152151150150149149150150151151152150151152150149149149150147150147150149149150149149149148149150151151153153155152151153152150149147148149147148149148147146146142142141140139140137138137136136134131130131130129126124124126122123123121119120121121123124125125127127127127129129126126121120121122123122124124122121120118116114114114108 96 96 96 96 91 91 88 86 83 83 83 81 83 81 80 88 91 95104 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131132133133131129130131131128125124124123123122122120120119116115117116116117115116116118118118119118117114112113111111113113113113111112112111112113112112112112112112112112112111111111111110110110110110110110110110110110110111111111111111112112112112113113113114114114114115115115115115116116116116116115115115115115116116116116116116116116116116115115115115115115114114114114114115115115115115115115115115115115115115115115115115115115115115115115114114114114114114114113113113113113113113114114114114114115115115115115115115115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145146146146148149148148149150152153153153153153155155156156157156157157157158158158158158157157157157157156156155154154154153153152152152151150149149148148148148149150150151151151150149151151148150150150147148147149149149149148148150149150151153153152152150150149149148146146146146148147147148147145143145143142141142141140138137135133134132132132131129129129126125123120124123125124123123125126126127127127127129128126123123120121121124124124123123122119116115113115116114110106104 99 97 85 85 85 85 85 83 85 83999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128133134133132130132133132130128126126124123122121120120120118117117117118117115115115116117117118117116114113113113113112113114114113112113114114114114114113112111111111110112112112112111111110110111110110110110110110111111111111111112112112112112112113113113113114114114115115115115115116116116116116116116116116116116116116116116116116116116116115115115115115115115114114114114115115115115115115115115115115115115115115115115115115115115115115115114114114114114114114113113113113113113113114114114114115115115115115115115115115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144145146148149148149148149150151152153153153153155155156156156156156156157157157157157157157156156156156156155155153153153152152151151150149148147147146147147148149149149150149149149151151151149149149150146148146148149149149149149150149149150150149149148148148147149149148148148147147146144143142143144141141141141141142141140139138135135136135134133131132131127125123125123124128126128128128127127126126126128127125125122122122120120122124123123123121118116114113112112111111108104103 98 90100 99 98 95 94 94 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134134133130999999999999125132129127124122121120119120120119118117116116117116115115114114114115116117117114113113112114114114114114112113113114114115115114114113112112112112113113113112113111111110110110109109112111111111111112112112112112112112113113113113113114114114114115115115115116116116116116116116116116116116116116116116116116116116116115115115115115115115114114114114115115115115115115115115115115115115115115115115115115115115115115115114114114114114114114113113113113113113113114114114115115115115115115115115115115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131130136141143146148149149148149150150150151152152153153153154154155155155155156156156156156155156155155155155155154154154154152151151151151150149148146146145146146146147147147147147147148148149150150150148148149149149148145147148148147147148149149150150148147146144145145145149148148147144143146145144141141141140140140140141141141140140139138137136137137136136134132129127124126126123125126126127127126127128128128129127126123123123124121121120122123122122121119118114113112111111111111106103 96 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130999999999999999999999123124123122121121120119118117117117116115114114113113114114114115116116115114113113114113114114113113113113113114115114114114114113112111112113113114113113113112111111111112111111112112112112112112112112112112112113113113113113114114114114115115115115116116116116116116116116116116116116116116116116116116116116115115115115115115115115114114114114114115115115115114114114115115115115115115115115115115115115115114114114114114114114114113113113113113113114114114114115115115115115115115115115115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132131133134137141144145146146148149149149149150151152152152152152152153153154155155155155154155154156155155155155154154154153152153152151149148149148148146145144145146146146146147147147146147146147147148147147148148148148148147145147148148148147148148147147148147147145145145143144146146145144143144145144143141140140140140140139140141140139138140138136136136136135135135134131132128126125124126127127128128128127128128127127126124124122123123123131125125123123123119119117114113112110112111112107 97 93 92101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123123123123121121119118117118117116116114113113112112112113114115115117117115114114112113112112112113113113113114114114115114114114112111112113114114115114113112112112113113111113113113114114113114112112112112113113113113113113114114114115115115115116116116116116116116116116116116116116116116116116116116116116116115115115115115115115115115115115115115115115115114114114115115115115115115115115115115115115115115114114114114114114114114114113113113113114114114114114114115115115115115115115115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139132134137138140141143145146147148148149148149150150151151151151151152152152154154155154153153155155155155155155154154154153152151152150149148147146146145144143144144145145145144144144146144146146147147147146146146147147146147146146147146146146147146146146146146146145144144144144144143143142142144142141142140140139139139139138139140139138137137138138137136135135135135135133137137135131128126126127128129128128126126127126127126124124123122124123123123121120121121120118116113111109110111108106103 98 95 97105101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122121122123121121119118118118117117117116115113114113113113115115114115117118118115113112112113112113113113114115115114115114113115114113112112112114114115114114114113113113113114113114114115114113114113113113113113113113113113113114114114115115115115116116116116116116116116116116116116116116116116116116116116116116115115115115115115115115115115115115115115115114114114114115115115115115115115115115115115115115115114114114114114114114114114114114114113114114114114114114114114114114114114114115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128128134134137138139140142143145147147148148149147149149150151151151151151151152153154154154153153151153154153153152152152151152151150149148146145146145144143142142141142143143142142141142143144143144145145145146146145146145145144145145145145145145144144144143145145144145145145144143143143143142140141141142141140139139138139138138138138138138139138138137136135135135133133133134134136134132130127127127127127127125126127126123123124122122122122120120120119119119117117116116117117114110109109109109103102 99 98101109100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122124122121122121121120119118117118118117117117116115116115115113114115114115117118118115114113113113113112112112112115116116115115115114115114113113114114115114114114114115114114114114114114113114113114113113112113110112111113113113113114114114115115115115115116116116116116116116116115115115115115115115116116116116116116115115115115115115115115115115115115115115114114114114114114115115115115115115115115115115115115115114114114114114114114114114114114114114114114114114114114114114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132132134137137137137138139140143146147148147149149149147149150150151151151150152152153153153153153152152151153153151151151150151151151151149147146146145145144142142143143143144144144143143143142144143143143143143145144144145144143145145145145145147144144144144144145145145145144144141141141141142140141139140139140139140139137138137137138138137137136137136135135134133132132132131135131132132132131127128127126125124124125125122121120122121124123122122122119118117115115116116115117116114111111110108105105104 99100103110100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121122122123122122122121119119118118117117117118118117117117116115114114113114117117117117115115114114114114113112110111115114113114114114115115114113113114114114115114114115115113113114114113113114114114114114114113112112112112113113113113114114114115115115115115116116116116116116115115115115115115115115115115115116116116116116115115115115115115115115115115115115115114114114114114114115115115115115115115115115115115115114114114114114114114114114114114114114114114114114114114114114114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142140136136136138139141141140140141140140143148148149148149150149148149151151152151152153153153153153152152152153152150150149148148147148149150150150149148147146145145144143142141142142142143145144144145144144143143144144145144143144144144143144143144146146146146145143144144143143143143143142142143140141139140140139139138139139139139137137136136136137136135135136134134133133132132130131132129129130130130129129128127127127125124123121119117119122123124123121121120117117117116114115116116112114110111112112109107103100 95100101107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122122122122122123123123122120119119118118118118118118118118118118117116117116116117117117116116114114114114113114113113112113113113114113114113113113113113114114114114114114114114114114114115114113114113113112112112113110112112113114114115115115114114115115115115115115116115115115115115115115115115115115115115115115115116116116116115115115115115115115115115115115115115114114114114114114115115115115115115115115115115114114114114114114114114114114114114114114114114114114114114114114114114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139141141140140141143144145145145143143142143146149149149150150150150150150151152151151150151152152152152151150151152151149147146147145142143148148150149148149145146145144143142141141141141141143143145145145144143143143143144143143143143143144145145145145145146146145144144144144142141142141141140141141141141139140140140140139139138138137136137136135135135138134135137136132132132133131129129128127128129128128128129126125124124122121120120119118118119117122123121119119117118117116116116116115111114111111110111110109105 99105106105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121121119122123123123122121120119119119119118118117118118118118118118118118118117117116116116115115115115112113112112113113113113113114114113112112113114114114114114114114115114114114114114113113111114113113111114112111112113112113114114114114114115114114115115115115115115115115115115115115115115115115115115115115115116116116115115115115115115115115115115115115114114114114114114114114114114114115115115115115115115114114114114114114114114114114114114114114114114114114114114114114114114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139141141142142143144147147148148146146146144145147149149149149149149149149150150150150150149149150150150150150150150149148147146145145143142140147147148150148147145145145144143143141140140141141141143144145144144143143142142143143142143143143143143144144145145144143144144144144143143142141140140141141140140139140142142138137138139138139137137137138137136137136136135135135133132131133132132132131130132132128127126125130125123123123123124122123122120120116119118118119117119119119118116117117117116118116113110109105104103 98105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122119119121122122122122121120120120119119119118118118118118118117118118118118117117116116116115114114115114113113113113113113114111114113114113114114115115114115114114114114113114114114113114114115115113113114113113112111113113114115114114114114115116116116114115115115115115115115115115115115115115115115115115115115115115115115115115115115115115115115115115114114114114114114114114114114114114114115115115115115114114114114114114114114114114114113113113113113113113113113114114114114114114114114114114114114114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137138138139140141141143144145146146147147148147147146146146146147147148147147148148148148148148148149148147147147146147148145145143143141141142142140140143145149150149147145145144144143141141140140140140141142143144143143143142143142144142142142142142142143143143144144142142143143143143143142141140141140140139139138138139141141140136135138137136136137136137137135136135134133132133134132132132131132131130131131132132131130130131130125128126126125126124125125121120122124121122122119118120119118118120120119118118114116115 96102102100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121118120121122122122123122122121120118119119118119119117118119118117117117117116116116117116115116115115116116114114113114115113114114113113115115113114114115114114114112114115114113114111114115116117115115116114114112114115110110113115110113113114114116115114115114114114115115115115115115115115115115115115115116115115115115115115115115115114114114114114114114114114114113113113114114114114114114114114115114114114114114114114113113113113113113113113113113113113113113113114114114114114114114114114114114113114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135136138139139140140141142143144145145145146147146146146146146145146146147147148147146147147147147148148147146145146146146146145144142139136137138139139139142147149149148147145146145143143140141140139138139140141141141142143143143142141141141141142142141141142142142142141142142142142142141141141140141141141140138137138140140140139140139135135134134136136137137135135136135134133133131131132131131130129129129129131130131131131131132131128128127128127128128127129125125127124123118121121121118120121122123124121120118111111108113111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119119120122122122122122122122122121121121119119118117117118118118117117117117116116116116115115116115115115116115114113114115115114114116116116115114114116116116115115114115115114115115114114114116116116115116115113112112113115115115112113113112110112114112114114115115116114114114114115115115115115115115115115116115115115115115115115115114114114114114114114114114113113113113113113114114114114114114114114114114114114114114113113113113113113113113113113113113113113113113113114114114114114114114114114113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131130133137137138139140140140141142142143144145145144145144144145145145146147147146146146147146146147147147147146146147147147146146145144137131133136137138137141146148148146145145145144142141139138137137137138139138139140141142142142141141141141141141141141141142142142142141140141141140140140140140140140140140139137136140140140139139138136136139135135133135137137135134135134133132132130131131130131130128128127127129129129129130131129130130131129129131130130130128129127126124125125125120121123120120120123123122118114109106117999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118119121121121121121122122122121122121121120120119118118117117116117118118116117116116116116115115116115115115116116115115115115116116116115116114115115116117117115114115114114114115116115115116116115115115116116114113113113111112112111113112112112113113113113113114114116115115114114114115115115115115115115115116115115115115115115115115114114114114114114113113113113113113113113113113114114114114114114114114114114114114113113113113113113113113113113113113113113113113113113114114114114114114114114114113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132129130132132135137137139139139140141142142141143144144144144143143144144144146146146146146145147147146147146146146145147148148148148146145144139133132135135136137140146146147145145145144142142141140139138139139139138135137138140141141141140140140140140141140141141141142141141141141141140140140140140139139139139139138138141140139139139139140136135136133135135135137135134135135134134133132131132132131130130129127127128127128127127128129128130131131131132129130129129129124127127127125125126123122121122119119119118117115112101101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122120121123123123124122121121121121120120118118117117116118117118118117116117116116116116115115115115116116116116114114116116116116117117117118117118118116116115114113115115114114115114113113115116116114114111110111112112114113113113112113114113114115114114112113113113115115114114114115115115115115115115115115115115115114114114114114114114113113113113113113113113113113113113113113114114114114114114114113113113113113113113113113113113113113113113113113113113113113114114114114114114114113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130130131132132133136137137136139139139141141141141141142142143143143143143143144145145145145145144146145146146147147147147148148148148148147146147143137134134134135136140144145144144143142142142142140140140141141140139136135138139140140140139139139139138139139140140140140141140140141141141141140139139138138138138138139139141140140139139138139139138139138134135137136136135134135134134133133133132132130130130129128129128127127128128127127128129129129131131130129130129130130133128127126125124126124124124123122119120119119116112110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122119120122124124123123121121121122120119118117118118117118119119117118116116117116117116116114114115116116115115115116116117116116117116116118119119117115115115116116116115115115115112113113116116115115113111112112112112114114112112111112113113114115111111111113114113115115116113116114114114115115115115115114114114114114114114114114114114113113113113113113113113113113113113113113113113113113113113113113113113112112112112112112113113113113113113113113113113113113113113113113114113113113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122123125129132134136137138139139139139141140140139140142142142142141142142142144144145145146145144144144144145146147147147147147147148148147147147145142138133130134135139141142141140140140141141139139139139140140139138137134137140139135135137136137138138139138140140140139140140140141140140140139139138138138137138138136138140138139139138138139139138138138137137134135135134135133133133132132132131132130130129129129129128128127127128128128127128129130131131130131130130129130130127130131125125124128125126125122121119116115112107114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123120121123124124124124122121121121120119118119118118119119119118117118117117116116117115114113115116114115115115115116117116116116116116116116116118118117116115117116116115114115114115114115115114114113112112113113112112113112115112112113111112112111111111113114113113113113115116115116116114114114114114114114114114114114114114114114114114114113113113113113113113113113113113113113113113113113113112112112112112112112112112112112112112112112112113113113113113113113113113113113113113113113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128127125124125129133136138139139140139139140140140139139140141141141141141141142143145145144144145145145146145145145145146146146146146147147146147148147144140135131129133134137140140139138136138139138138138139138136137136136135131131136134131132136136136137136138137138139139138138139139140139138138136137137137137137138137137139139136138138139140139138138138137137136137136136134135133133133133131131131130130130128128128128128129128127127126128128129129129130131130128129129128126127128129124129126126126126127124123122120116114113110115999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123121123124125125125123122121121119120119120119118118118118117118119116116116116115115114115115115115116115115115116116116116118118117116117117117117117117118118117115115115115115116115115114114113113112112113114113113113113113114112111112112113111111112113114114113113115116114114115114114115114114114114114114114114114114114113114114114114113113113113113113113113112112112112112112112112112112112112112112112111111111112112112112112112112112112112112112112113113113113113113113113113113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127128129130130132134136138139140140140140139139139139139139139140139139140141142142144145145144144145145145145146146146145146146146146146146145146147145147145143141138136134134136137139139140139139138136135135136134131130128129129128127131130127133137137136136136137137137138138138138138137137136136136137136137136138136136135139139139139139139140139139137137137137137136136136135135135134133133132130130129129128128127128128127127127127125126126127127128128127128128127128128125126127127127128127127126123127127127124124124119116115113108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123119121123125125124123121121120120119119119119119118118118118118117115115115115115115115116115115116116116116115116116115115115115117115115116116116119119118118117115114114114115115114114114115114114113113113113114113112110113113113114114114114112111112114114114114114114114114114114114113115115113112113113113113113113113113113113113114114114113113113113113113112112112112112112112112111111111111111111111111111111111111111111111112112112112112112112112112112113113113113113113113113113113113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129128131134134135137139139139139139138139139138138138139139139139139139140141142143143142145145145145145145146145145145145144144144145145146146146146147147147147146145144141139138137138139139140140140139137136136134131130136131127125123123125123124132137137135135134136137138139139138137137136136136136136136135135137136136137136136139139139137137138138138137137138137137136137136134134134135133132131129128128128128127128128128127127127127125126125126127127128128128127126127126125126126129129129129129126125126126127127125121119117116116114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129130129128127999999999999999124117118121123124124124122121120120119118119119118119119119118118117117115115116115116116116116116116115115117117115116116116115116117114115116113116116116117116117117116114114114114114114115114115114114114113113113113112112112112113113113114115113113113114113114114114114114114114113114114114114114112114115114113113113113113113113113113113113113113113113113112112112112112112112112111111111111111111111111111111111111111111111111111111112112112112112112112112112112112112112112112112112112112112112113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125130131132134134135136136137136136137136137138137136136137138138138138139140140141142143144143145145145145145146146146145145144145145144144145146146146147148146147147146146145145144143140140140139140138138137137136134131128129134131124123122125123119123130134131130131133134133134136137137136136134135134136136135135136136137136134136135138137136136136137138137137138137137135135136133133133133133132131130130129129129129128129128127128128128128127127127124125126128127129128128129127127128130130130128128128126125127126128126123123120120118115999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125128130130129127124123999999999122122120120122124124123123121120119121119120119118118120120118118118117117118117117117117117117117116117116116116116116115116116116115114114114116116115115116116115113115116116115115114113113114113113113113114113113113113113112111112112112113113114114114115113112112113113113113114114113113113113114114113113113113114113112112112112112113113113113112112112112112112112112112112111111111111111111111111111111111111111111111111111111111111111111112112112112112112112112112112112112112112112112112112112112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120123129132132133134133133133135134133134134134134135135136136137138138138138138139140140141143143143143143144145146145145146146145144144144144145144145146146146146146146146146145145145145144142141139138138136135134133130128127126124128127124121118128128120119124127127131131130130129131133134135135134134133133133133134137136136136136136135136136137136136136135136136135134134135135134134133133133134133133132131130130129128128129128127127128128128128127126128128128125126129130130128127129129130131131132131130129127126126126127124122122121122118119999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128131132129128126124122119117121124124123123123124123123122120120121121120119118117118117118118118118117119119119118118118118118117118118118119118117118117115115115116116115115116116115114114115115115114115115115115115113114114113114114114114114113113112113112112110112112113113113113113114113114113113113113113113113113112113113113113112113113113113113113113113112112112112112112112112112112112112112112111111111111111111111111111111111111111111111111111111111111111111111111111112112112112112112112112112112112112112112112112112112112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999118125127130133133131131131130130130131131131131132133133134135136137137138138138138139139140140140142143143143143143144144144145146145145144144144144145145146146146147147145146145145144144145145143141139137135134131130129124125119115110110110113115116117121126123119120122126130130129128128131133134134134133132132131130130132135136135135135134135135135135136135135136135135135134136134135133133133133133133133131131132131130129128128128128128129128127127127128127127127128129126126127127127127128130132131130131131129128129127126128123124124124122123116121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125130131132129129127124125124122122123124125125125124123122121121121122121121120119118118117117118118119119119119119119119120120118117118118117117118117116116116115115114114115115113113114114113114114114114114114114114114113114114114113114114115114115113113112114112111111111112113113114113113113113113113113113113113113113113113112112112112112113113113113113113113113113114112112111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111112112112112112112112112112112112112112112112112112112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115120124129131131130129128128126127127127128129130130130131132133134136137137138138138139139139140140141142142142143144144145145144144144145144143144144145145145145146146146147146146146145143144145144143142138134134131127123122120120112112110110109113116112117121118120120115119121125125125121125129130131131131129129129128128130130132132133133134133134134135135135134134135134135134133134134134133131133131133131131131132132131131128127126127126126127127126127128128127127128130128128127130127127128128130131133134132132129129127129129130128127127127125123116999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125127129129129128127126126126127125123123123125125124123122121121120121120119119117117116116116117117117118118118118119119120119118117119119118118117117116117116115115115115114115113113114114115114114114114114114115115115114115113112113113113113114114112113113113112112112112113112113113113113114113113113112113113113113112112112112112110111111111111111112112112112113112111112111111111111111111111111111111111111111111111111110110110110110110110110111111111111111111111111111111111111111112111111111111111111111111111111111111111111112112112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109112117123126129129128126126124122121122122122124127130131132131131132134135136137138138138139138139139140141141142143143144144144143142144145145143143144143144143142143143144144146145145145145144145144144144142138133132131126123123120117114110107104107110114114116117117114118118115113116117115116120126124124127129128128128127128130131131131132133133133134133134133133133133133134134133133134133132132132133132131130131131130129130131130130128128127127127126125126129127128129129131130129128130130130129131131131132133133131130128127128127128128127127128125123117999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125124126128128128128126126126126127125124124124124125125123122122121120119118118117116115113114115115115115116116117116116119118117117118119119118119117117116116116115115115114114114114114114114115115115115115115114114114114114114114114115114114113113112113112112112111110111112113113113113111112113113113113113112112112112112112111111110111111111111111112112112112111111111111111111112111111111111111111111111111111111111111110110110110110110110110110110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113107106106109113119123124125122120120121120118118117117122126129130129130131132134136136137137138138138138139140141141142142143145145144144141140143145144142143143142143143143142143142142145144143143143143144145144143143141137136134131126123120117112112104101100117118119124122126123114114111108111112110111116121121121124128128128128130130130131131129132133133134134134133133133132133134134133133133133132131131132132131131129129131130130131129131130130129128128128129128127128127131131132133132129132131129131129129130132133132133131131130131128130128128128128129125123123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122122124126127126127126126125125126127125125124125124123123122122121119118118117116116115115115114114115115114115115115115115115115115116118118117118117117117116116116115115116114115114115116116116117117117117116116115115115114114114115115114114114113112112112111111111111111110111112111112112113112112112113114113112112112112111112111111111111111111110111110110111111110110110110111111111111111112110110111111111111111111110110110110110110110110110110110110110111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999106105104103103105108111113113114112115115115115114113114116119122125126127128130131132135137137137136136137138139140140141141142144145146144144142141142145145143143142141141142141141140142142143142142140140141142143144144144142142140138137129125121117113111110109109107101107108112112109112107107109109100102110112116118121123126128127127129130131131130129131132132133134133133133133132132132133132132132132132131131132132132131130129128131130129130130131129129129128128129126126128128130132133134134133131133131131130130133133134132132134136136135133128126126125127126125122126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122122125125125124125125125125125126126125125124124122122122121121120119118118117115116116115115114117117117117117116115115114113114114114117117118118119119118116117116116116115116116116116117117117117118117117117117117116116116115115114114114114113113112113112111112111112111111110110111111112111111112112113113112112111110110110110110111111111111111110110109109109109108109108109110111111111110109110111110110110110110110110110110110110110110110110110110110110111111111111111111111111111111110110110110110110110110110110110110110110110110111110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108105103103101101102102103102105107108109108111106106108110113115119121122126130130130131133134134133132132134137138139138139140141143144145143142141140140141142142142141140140143141141140141141141142141141140140141141141143144144143141139137128125122120118118116113111112115113113117110111122122104118110111100105111113117122126127127127126130131130131130130131131131133132132133132132132132132132132132132132132131131131131132131131130130130128130132131131130130129128128129129128129129130132135135135134134136135129134133135132133134134134135135134132128126125127126126124124126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122122123124124126127124124124124125126126125124124123123121121121120118119117116115115115115115115117117116117117115114113113115112111116114116116117118118117117118117118117116115116117117117117117117118118117118117117117116116116114115115115114113112112112111111110111111111110111110110111111111110111112112111110111111109109109109109110109110110110110108109108108108109107107108109109109109110110110110110109110110110110110110110110110110110110110110110110111111111111111111111111110110110110110110110110110110110110110110110110110110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999109107108106102100100100101101102103104108107106107106107105104103106109110112115123128129130131131130127126124125128133136136135137138139140140143141140139139138140141141141141140142140139138137137138140142142143141143141142143143144144142139136130127125125126121119118120119118119120120119117118118116115115116116116116115116118125128127127127129130131129130131130131131131131132132132132132132131131131132132132132132131131131130131130131131131130130130130130131131131129128129131133131131132133135135135135136136134137133141141134132133137135137136135136134132129128128127125125123126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123123121123124124124124124123123124125124123123123122121120120119118118117116115114114114114114114116115115115114114114116999999999115115116116116116117118119119119118118117116118117118118117117117117116116116116115116116116116116115115115114113112111111111111111111110110111110109109110110110110110110110110110109109109109108108109108108109109109110109108109107108108109109109109109109109109109109109109109109112110110110110110110110110110110110110110111111111111111111111111111110110110110110110110109109109109110110110110110110110110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999113110107107108105102101100102104104103104106107109109999109107105104102 99 98102102105115122125128129128126123122122123125129133134135136137137138138138139138137136137138139139138138139139138136135134134135137141142141141143144143143144144144143140134130129126126125125125124124128128129130129128127126125125123122121123123123122123124125126126127127129130130130128129130130131131131131131132132132132132131131131131131132131131131130130130130130130131131130129129130131131131132132130133133133132132134134133135136137135133133140141141138132136136136136136138135134134132130128127125125124123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121122121123124125124124123122122123123123122122122120120120119118118116116114114113114112113113112114114115115114113114116118999999115115115115115116117117117118117117118118118117118117116117116116115115115114113115115115115115115115114114114113112112111110110110110109109109110109109109110109109110111111109109107107109109109109109108108109109110110109110110110108109110109109108110109109108109110110110111111111111111110110110110110110110110110110110110110110110110110110110110110110110109109109109109109109109109109109109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116113112110108107108108106105104103104105110999113109108111999999999999999111111 98 99100 98103107115120124125125125121122121120123125126127130132135135138135136136136135136136136136137137136136136135133132133133135137140141142144144144143143143142142142138134131130129128128127127127127128131133134133133132130131132131130129128128128127128128128128127129128127130131130128129130130130131132131131131131131132132131131130130130131131131131131131131130130131131130130129130131131131130131132133130131132132132131132134136135135135136134141139138139132136136139136137137137135132133130127127127126124121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123122123124126126125123121123124123124123122122120119119118116116116115114114114115116115115115115114114115114113114115115116999999116116117115116115116114116116117117116118118118116116116116115114114114113113113114113114114114114114114113113113114113113112112111111111111111110110111111111110110110110110110109109110110110108108108109109110109110109110110109109109109109109109109109109109109109110110110110110111111110111112110110110110110110110110110110110110110110110110110109109109109109109109108108108109109109109109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121118114113111110110111111112111110107104999999999111111110110999999999999999999104103 99 99101103100104110117112116120123119118118119121120120121122128134133135133134135135134136134134134134135135134134134132133132133135139141142142144144144144143143143142142138136134130128128129130130128128128131133135135134135134134134134132131131131131130130130130131130128129130130130131131130130131131131132130131130130131131132131131131131131131131131131131131131131131131131131131130131131132131131132132133131133133131130130131132134136135139136136135136137136136135137139137136136136136133131130129128127124123124999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121125125126125125123122123122122122122120120119118118117117117116117116115115116116117116116116115115116116115114114115116117999999999117117117117117115117116114114115115116116115115115115115114115115114114114114114115114115115115114115115115114114113112112111111112111111109110111110111110111111110110109109109110109108108108110109108109109109108109108108108108109109109109109109109109109110109109111111110110111110111110109110110110110110110110110110110110110110109109109109109109108108108108108108108108108108109109109109109109109108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120121121118115115114115119117117117117115116116117117113112112999112999999999999999104104103102103103104108112114110112115119115113114117118119120119120127131132134132131131132134134131131132132133134133133133132133134133135138141142142144144144144144143142141141141138136131128129129129128129130130132133134133134135134134132134134133132132131132132131132132130131131132132132131131130131132132131132132131131130130130131130131132132131131131131131130131131131130130130131131131132132133133133132133132132133133132131132133133133135135137136138138137137137139138138139137137137136136134132130129128126124125127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127126125124124123122121121122122120120120119118117117117116115116115115115116116118118116116116115116115114113113113116116114116999999116117118117117119116116115114114115116116115114114115115114113113113114114113114114114114114114115114114114114114113113112112112112112112111111111111111110110109109109109109108109109109110110109109108108107109109108107108108107107106107108108108108108109108108110109109110110110111111110110111109109109109109109109109109109109109109109108108108108108108108108108108108108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120122127125122121122122121121118121122123123120119116115114115115119116999999999102101101103104105108111111111113112113114115116113113115116118118119120126130129132130129127128129129129129129129132132131132132133134135134135137139140141142144143144144143142141141140139138134131132133132131129130131132133134133134134134134132135134132134133133132132133132133132132133133131133132132131131132132132132131130130131130130130130131131132132132132132131131131131131131131131131131132132132133133132132134135134135134133132133134134134134136137137139137136138139137138138138138140140137136135133130129128127128126124128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999121122123123123122122120120120120120120119118118118117117115115114114114115115116117117116117116114113113114113112116114115114114114116116118118120120119117118117999119115116117116116115115115115114113114114114113113113114114113113113113112112112112111111111111111111111111111111110110109109109109108108111110108108109109109108108108108108108109107107108108108108107106106106107108108107108108108108108108108108109109110110109108109110109109109109109109109109109109108108108108108108107107107107107107107108108108108108108108108108108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999116128128129129127114117116124124122120117116114115114115112114114104102102104107109111112114114114113114114112114114112113115116116116117120123125129127127125125126128128129129129130130131134135136136136137135135137139141139140141143144145144144143142140140140136133135136134133132132132132134134134133134134134133134133133135134133133132133133132132131133131131131130129130131131131134134132131130130130131132132131131131131132131131132131131131132131131132131132132133133133133133133134135135135135134134135134134137136138138138140136136139138138137139139139139139137137135133132129129129128127124125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119117119121122121121120120120121121121119119118118117117116116116115115113113113116117117116116116116112112113113114115115115116116117116116116118118118117117118117117116116116115116115116116117117116117116116116116115116115115114113113112112111111112112111111110110111110110109110110110109109108109108108108108109107107108107107108107107108109109108107107107106107106106105106106107108107107108107108108108109109108108108109109108106108109110111109109109109109109109108108108108107107107107107107107107107107107107108108108108107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999115999999999999999999999999999117119117117117117114112109109107105104108110113114116116115115115115113111114118115115114116117117117117120120126126127127126126128128129129129131132134137140143144143143141138139138140139140142144144145145144144144142140140137135138139138136135133133133135135135135134132133134134133133133134132133132132133133132132132132130129129131132134132133134135133131131131132131132133132132131131132131131130131131131132131131132131133133134134134134133133134135135135136137137136135134135136137138139137138138137136137137138139138138138137135135134134132130128127127125122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135131129128999999999999999999118116117119120120119121120120121120121121119117117117116116116116115115116113113113114114115115115116115114114114114114115116116116116116116117116116117117116117117117116115115115115118117117114117117117118117116116117116115115115114113112112112112111111111110110110110110110109110110110110110109109109108108107109109109108108108107107107108109109109109107108108109108109109108107107107107107107108109109108109109109110108108109108107108108110110110109110109109109108108108108107107107107107106106106106106107107107107107107107107107107107107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999122121119118118118118119112110115112110110110112114114113112113114114115117117117117118118115116116115118120121121124125126126126127129129130132134136138141144146146145145145143142141141140142143144144144144143143142141140140138138139140140139136134135135136137137136136132133135135134133133132132132131132132132131132131131131131130131132133135134134134131132132131132132132133132132133133133132132131131131132133132132133132133134133134135134134134135135134135135137136136135134135136136136138136136137135134136137137139139138139138135134133135133130127126124123120999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131128129127126126127121119118118117117118119121121119120120119119120120120119118118118117117117116116116116116115115115116117115114115117115115115114115114115115116115116117116117115115115115116116116117115115114115114115117116115116117116117117116117117117117116115114113112113112112111111110111110111109109110109110109109110110109109108108108108107108107108107107107106107107108109108109106108109108107108109107107108108107108109109109110110109109111111109109109110109113110108109108109109108109108108108108107107107107106106106106106106106106106107107107107107107107107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120126122119117116116116116117116114112113112110109111109108107108111113115116117117117118121111113113116117118120120120122123124125126127129131135139141143144145147145144144144140140139140142141143144144143142143142141140142140139139139140141141138137139141138139139139138136135135135135134133132132132134134135132132132132131130130130132133135136133134133132132132132133132132133133134134134134133134133134134134135134133133133133134134134135136135135134135136135135135135136135135136136136137137137136133134134136136137138139138139138136135134134132130127125123121120119999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127126126127128127126126125123119119120119118119120120120121120120118120119119118118118118118117116116116116116117116115115115115117118119118118113114114113113114113113113113114114115113113113114114115115115113114114114114114115115115115114115115115116115116117117117116115114113112112112113112112112110111110110110110110111110110110110109108108108108108108108108107107107107108108108108108107107107109109108108108108107107110107106106110108110110109111109110110110109108109110110109107109107109108108110110108107107107106106106106106105105105105106106106106106107107107106106106106106105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129124121118118999999999130121116115115115111110108107108999112111111114117117119120999999111111116116117118119119119120120122123124126128131136141144147147148147146146999999999999141140141142143144143142141143142139140141140140140139139141141141141140142141142139139141138137136136136135135133133135135135134135134132132132131131131131133134135135135134132132132132132132133133134135134134135135135135135135135135135134134134133135135135134134135135135135135136135134134136135135135135135135135137135133135135136135137136137138138137137135133131130130127125125122123121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126126127126126127127125125123124123123121121122121122119119120120120120120119117117117118117117117116115115115117116117117115115115115117118119119118118118116112112114115113113113117115114113115116116111112112111110112112113113113113114114114113113115115115116115116116116115114113113113113113112112112111111111110110111111111111109109109110109108110108107108108109108107107107106107107108109108107108107106107107107106107107109107107107108108108110110110109109107109109109109109109108109108108109107109109109108108109108106106106105105105105105105105105105106106106106106106106106106105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129125125999999999999130130125119117117117115112110112113999999999999999999999999999999999999118118116116118118119117120121125127126127130134136141144146147147147146146999999999999999142140141142142144140139140139137138141140140140140140141142142143143143143143142142141140140140137137137135133133135134133134135135135133133132131131132132132132133135135134133132132132133133133134134134134134134135135136136135134136136136136134134134135135135136136136135135136136135135135135135135135135135134135134133134135135137137137137137138138137135134132130128128127124122123123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133131129129129126126127126126125125125124122120120120120119119119119119120120118117118118118118116116116116115115115116117119119117115115115117118119118117118118118118118117116115115114113112111115114114113113113110112111110112112112114112112112112112113113113114114115116116116115113112113112112112111111111111111111110111111111111110109109109109109108108108109109108109109108107107107108109109107106107106106107107105106106106107107105105106107108108107108108107106105107108108109108107108110109109110110110109109109105105105106105106105105105105104104104105105105105105105105105105104104104103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131130130137120999119118132127124121120117117117117118116115110999999999999999999999999999999999999999117116115117121121123124127129130131135137137139143144145147148147147147142999999999999138140141141142142142141139136136137139140140140140141142143144144143143143142141141140140140140139136135136133133133132134134133133134132131132132132132132132132133134135135134134134135134134134134133133133135135135135136136135136137137137135135136136136135135136136136136136136136136136136137135137137136134136136135135135136136135137137138138138138133133132130129128125124123124121123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126131131129129127127126126125125125125124122121119120119119119118118118118118117117116117118117116116116116116116115116115119119119119118116115116117118118117117116117116117118117116116114114113110113113113112111114111112112111111112114114114114113112112112112113113113114114115116114114112112112111112112112111110111111111111111110111110109109109109108108108107109109109109109110106107107108106106106106107107107107107106106105106105105106105105107107106107106105105104106105107107107108108108109109107110110110108108107107104104103102104104105105104104104104104104104104104104104104103103103102102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137140143145120999999999999999117118117115116118121123116118999999999999999999999999999999999999999999999999119118120123126126128130132135139140141142143144146147150149149148145144999999138139140141141141143143142138136137138141140139139139141142143143143144143139141141140141140140139137136136134135134133133133133132133133132131132132133132132132132132133133134135135135135136135135135135134134135135136136136136137137135136137137137137136136135137136137136136136136136136136137137137137137135134136136136135136136135134137136136136137137137134134132132128127124123124123124999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130129131129129128127126125126127126125122120120119119118118118118117117118117117117117116117115115116116116116116115114117117119119120118117115117117116114118117118116116116115115116116114114112110114112114112112112111114114112113112111113113114114113113113111111112113112114114114112111111111111110111110110112111111110111110111111110109109110109109108107107107109108108108108107106106107106106106105106107107106106107106107106105105105106106106107106106108107106105106105105106107108108107109108108108107108109108108108106106105104102104105105104104104104103103103103103103103103102102102101101100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999117121120120120999999999999122117116115116119124126999999117999999999999999999999999999999999999999999999999122120120124125125130134135140143142144145144146148148150151148149146145999999137140140141141140140139141137136137137138138139139139141142142143144144142140142142140142139141140137136137136136136136135134132132132132132133133132132133132132132132133133134133134134135136136136135135135135135135136136137136136136136136136136136137137136136136135135137136136137136136137136137137137137136135134136135134135134134135136135135136136137137135134133131129127126126127125123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125129128128126127127127126126127127126124119119119117118118118117117117118118117117116116116115116116116116117116116115114118115119120119118116117116116115115116116115115114116115116115115115114114114115113112116115115112112112112111113112112112113113114115112112113113113114115115112112111111111110110111111111110110110111110109109109109109109109110109109109109109109109106108108107106107105105106107106107107107107106105106104106107105105106107107107105106106105105106105105106105106106106106105108108107107107109108108107107107107105104105105105105106103103103103103102102102102101101101100100 99 99 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999123120119123128130127999999120120999999999999999999999999999999999999999999999999999124122123126131134136138141143145148148148149151152154155151150148142137999139137139140141141140139138137137138137136139139139140140142144144144143140139139141144143142142141138138138138136136136136135135134133132133132134131133133133133133134132133133133133133134135135135137136136136136135137137136136136136134134135135135135137137136135134134136137136136136136137136136136137138137137134134135134134133132134134134134136136136136136136135132131127128125126128124127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125127126125126127127127126127127126126123121119118118117117117117117117117117116116115115114114115114117117116115114117118118114118120120119117117116116115115116113112116116116115114112112113114113116116112115116115115112110110112112112111111111111111111113112112114113112113113114114114112112110111110111111110110110109110109108108108109108108109109108109108109110110110107108108107107106108108105106108109109109108107105106107106108107107108107104105103104104104104104105105106108108105105105108109108107106105105107107106107107108107107107106105105105104105102102102102101101101100100 99 99 98 98 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124127127131132131133136999999999119120999999999999999999999999999999999999999999999999999999999121126130132135137140144148152152152152153154154156157152150144143999999999137138139139140140139139139139139138138138138138139140143144144144142140139139141143143143145144143139139138137137137137137137136136135134133133136135136136135135135134134134133133134134134134135136137136136136136137136136136136135135135136135135136134134135136135135136136136136136136136136136135136137137136133133134134133133133133134133133134135135136137138137134131129129128131130125127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127128128127127128128127126126126125125124121117116116116117116116115116117116114115113115115114116117117115114117117117117117116118119119118118117115115115116114112114115116116113114114112111113114117116114113114113115112112111113112112113113110111111110113112111114114112112112112113113111112113113113112112109110110110109108108109108107107107107107107108107107108107108107108108108109107106106106106107107108108108108109108109109109107107105105103103102104104103104105105104107106106108109108107106105106107108104107108105106106106106106107105104104105104104106104101100100100 99 99 99 98 98 97 97 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125125124124123123123999999999999120120999999999999999999999999999999999999999999999999999999999999999999128131132135142149154153156154154154152154159162155153144999999999999139137139139139139140140141140139139140138138138138140141143143143141140139140141144144147147147142141140138138139137138138137137137137137136137135134136136135135136134135134133134133134134134133135136136137137137136137136136136137136136135135135135134134135134135136136136137136136135136136135135134134135135134135133132133132133133132132133133135136136138137136136135134131130131131126122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127129128128127126126125124124125125123120118118117116116115114113114115115115115115115115116115118119118118117116116117117117118118119118117116115115113114114113115116114115115115115114113114116116114114115113112114114111113113113112112112112111111113112112111111113113113113112112112110111113112113111112110110111110110109110110112111108108108108107106108108106107108108107108108108108106105106107107108108107106107107107108109109107106104103104103102101102102104105105106106103103110109108109107109108107106106106105104104104103104104105104104105104105105104103104 99 99 98 98 98 97 97 97 96 96 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140144143146151156158157155155156999999167156156999999999999999999138136138137138141141141140138139138138139139138138139140142140140141141142144147145147147147142143142141141139138137136137136137137136136137137135135135135135135134134134133133132132133134133134135136136137136136136136136135136136135135134135134134134134134134136136136136137136135134134134134135132133133133135135134132132132132131132130132133134137136136134136135134133132131130128123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127132129128126126125125125125125125124121120118119117115113115113114115117117114114114115116115117118119119119117117117117118116116118118116115115114113113116115116114114116115115115114114113114115113113114113113114113115116114113113113112111112111113112112111113112113111112111114112112110110111112111110111110110110110109109108110110109110109110109110110109105107106106106106106108108108107105106107106107107106106106108109109109109106102103103104101101102102101103102102101103103102109105108108108107103109108107107106106106105105104104105103104104104104103104102101100 98 97 97 96 96 96 96 95 95 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150152154155158159159999999999999999999999999999999999999999137141137134134138137138137138139138139140139138138138138139139141142142144145147146144146146144143144145145140139137137137137137138136136137135135134134133133134134134133132134133134133132132133133134135135136136136137137137136136136136136136134134134134135135135135136135135135134133133133132134134135133131132133133132130131130131132130132133134134135135134134133131130129133130128121122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127127127126125125123123124125125123121120120118118115115115111114115117119116117117116116116117116117117116117116117117117115117116116115114113113115115116116114118118115114115118115114113114114113114114111113115114112115116112112113113113113111112113113111112113113113112111112111111111109110110110110109110110109109109110110109110110110111109109110109109109109110111107108108108108107106106107107107106106107106107109109110109107103103102102102101102100101103102101102102102102 99103105108107107108108108108108109106107106106106105105102103102103101102101100 98 97 97 96 95 95 95 95 95 95 94 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156157155153999999999999999999999999999999999999136136140136136130131133135137139139138139140139139140137138139142142143144143145145146141143141144142142143141140138139138137136137135136135135134136136135133133134133134134134133133133133132132133133134135136135136136137137137136136135136136136134134135134137136134134135135135134134133134134133133134135133132131132133130130128129131132133131132133133134133133132132130129129132130127124121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999127128127126125124123123123124123122121121120121119118116116112115117115118116117118119117119118115115115114115116117116117118117116117115116115113114115116115115116118115113115117115116115115113113114114112115115114112111112113113112114115114113114112113113114113113113112111111110108109109108107108108109108108108108108109109108109108109110110109107108109110107107107111112111113113112110107106107107106106106105107107108108108108104103104103102102102104104104103103103101 99 99 99101104106104105108108107107107107105105104107106102100 99100101101 98 98 96 96 95 95 94 93 93 95 97 94 94 94 94 93 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159156152149999999999999999999999999999999999999999133133135132127129131134137139139138140140140139141141139143145145144144142141141140140142141142141142142140140139139138137137136135134135135133133135136135135134134134134135133133133133133133133134135136136136137136136137136136135135135136136136136135136135136135135135134134134135134133134133135133131133133132131130129128127129130130132132132132133133132130129129128128127128128127124121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129129130130131131999126125124123123123124123124123123122121120119119118117113114114115114115115116118118118117116114115115116115115116115117119118119118117115111114115116117116115114117116114117117116114116114115114113114112114114113114112112113114114114114112113113112113113115114113113112113110109109109109109109109109108106105106105107105108107107108108109109109109107108108108108106106111110111111111112112108108108112109110105107109108109105105103101101100101101103103102104103103102101102101 99101103103105107104106106107107106105105103102100 98 98 95 99100 99 98 99 98 95 94 95 94 92 92 94 94 94 95 93 93 93 93 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144144999999144154155154148145143999999999999999999999999999999999999134134133130125127129132135136138140140140142142142142143144144144146144142139139140140142142142140138141141141139139137137137137136135135135134133136134136135135134135134134133134134134134134133135135136136136136137135135135134134134134136136136136136135135135134134136135134134135135134133132134134130132131129129130129129128131129129130131134132133132132130127127129130128128127126122120999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129127127129129130130129127128126124124124124123123123122121122120119119119118117114115114116115115115115115116118118118113114114115112114115116118117118119118117117117118117116116115117116115118116115115116116117114115116114113112115115115115115115114115113114114114113113113113113113114114110112112112111111109109110109109110110109108108106104109109107108108107108108108108107108108108108109106109107108108108108110109109110108107107107105105105105105106104104101100 99100101101100101102103101101100101100101102106106106105103106106105107106106104103103101100 98 96 95 97 97 98 98 96 94 96 93 91 90 90 90 91 92 92 94 95 92 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142142142148149149148145140139999999999999999999999999999999999999999127130129126123126130132135136138140140141140141141145144144142143142142140139139140144141141140139139139138139136135136137137136135135135134135134135135136136136135134135136136135137136136136136137136135136136137135134134134135134133135135135135135134135134135134134134134134134135133131132131132131129129127128129130129130129129129129128129128128128127127127127128129129127125125122120999999999999999999999999999999999999999999999999999999999999999999999126140132999131129128127127128128129128127126126126124124123123123122122121120120119120117118118119117117117116116116115115115115117118120119116113113115115115115116115116116116115115113116117117116115115115113117118118117116116114114116116115116115115113115115116115115113115114114114112111112112113113113112109111111113111112111110109111110110111112109109110110109109110110109109108107109109109108108108107107108105102101106999999999999999105105105106104100102104103106106103103103 99101101100 98101101101 98100101101103106105102103106106105106106105103106106105103102100100101100 98 97 96 95 97 97 97 98 93 93 94 89 89 89 90 90 92 93 94 93 91 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140140139139139139139139999999999999999999999999999999999999999999126128122123125127129131132135138140138141143143142141141142143141140143142145144141141141142141141140136136135134136137138136135136136136135134134134135135136135136137137137135135136136135136136135136135135135135135134135136134133134135136135135134135135135135132132131131132134133132131130132131129128127128128131129129130130130127127128126127129126125126128129128127126127126122119123999999999999999999999999999999999999999999999999999999999999999999999999130129129128127127126128129128126126125125122122123123123122121121121119119119118119120120119118118118117117117116115115116118119119119118117115114115116117115117118117116116116116115115116117118114113115116116118117116116115114117116118115116117116115114114116114113114111114116112113113114113114111110113112112111112111112110109114113114113109112112112109109110111110110110107107109108109108106105110109108101101101103105999999999999999103103102 97102100102103103104103102102101101101 99 99101102102104102103 98102106105105105106107105106107106104105108106100101100100100102103101 96 96 96 96 96 95 94 93 91 89 89 89 89 89 91 92 93 93 93 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138137136136136136999999999999999999999999999999999999999999999126128122124125126125125127131134139140141143141141140142144148147146146146146145143144143142142140139136137138136137137137137137135136136136136135134134133134134135135136137137136135135136135134135135135135136135135136137137133133133135135136135135134135133133132132131130130131132131130134132131129129129129130131128129128129128128127128128127129127123125128128126125125124124123120119999999999999999999999999999999999999999999999999999999999999999999999126129128125125126125126126126123123123123125122121122122122125124119119119119118117121120118117117117117117116117117117118118119119115115118117116115116117117118117113118117116113116115115115116117113111113115112117114117115115116116116117116116115114114114114113114113113112116115115115114113113112109111112113113113112109109110108109109109109109110110113111111109111110110112111110110109109107105109111108108105105105105103100 99 98 94 95 96 97103101101 99 98103103103101 99101100102102102102102101105106106103103104104 98107107105108106107108109109105106106103102101 98101102102100 95 95 94 93 95 94 93 93 92 88 91 90 89 88 88 92 92 92 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136135134134134134999999999999999999999999999999999999999999999123128123123123125123122124126128132137139141140141140143146147148148148149148147146144144140141140139139136135138137136137136135135136136136136135135134134133133135134136136135136136135135134136136135135136136135136136138136135136134134135135136136134134134133132132132130129129130131131132130130128128128128129130130129129127126126126128128130128125123125126127125123124125124122120119999999999999999999999999999999999999999999999999999999999999999999999130127125124123123123122122122121121122124124124123123120120120123122121121116120121121119117117116116117117117116118118119118118118114115117117118115115116117117117114114116115114114115115116115116114114113113114114115116112115116118113114113114116115115114118112114113115115115114116115113111112112111113114114114112107108107105107106109107107108109108114114113111113111111112111111110109107108109108108107107104105106105104 99102100 98 99 99 99 99101100 97 96100100100 99 99100104104101101102101103103106105112104103103104105107108109108108109109109105106104104100101101 99 99 98 94 92 92 92 91 92 93 95 93 94 89 90 93 93 92 91 90 90 90 92 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135134133133134134999999999999999999999999999999999999999999999124127123121121122120121122125126128133134142139141143144146148146147147148148148145143145143141139138139136135138138136135136135134135135135135135135133134134134134134134134134135137135135137136134135135136137137137136136136136136134134136134136134134134133134133133131130129128130131130130130128128128128127128129130128127126126125125126127129126123121122125124123124125130128125121119120999999999999999999999999999999999999999999999999999999999999999999129125126123123121122121121120120120121123123122122122122122118121121121121121120120120114113117117117117117118118118118117117117117117116117117117115114116116111118117117112117118119118116116114115116116111111115116115113114115116115112115115115115116116115115113113115114114114114116115114113111111113112111112109108107105105107108106113110106107108108111112111109112112113111111109108108106107110109107107105104105105106105103101101100 99101 94 98100 99 97 97 98 99 99 99101102103 99 99100102103105103106106104108101100101106107108105105107107108110109106106103101100101 99 98 96 98 95 93 90 89 90 91 92 92 91 91 90 90 97 96 91 88 88 89 89 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136135133134131133133999999999999999999999999999999999999999999120119129125117117118116118120121123126132134140142141144145146145144146146147145147142141143143141139137137136136137135138136136135134135134135134135134134133134134134133133133135135136136133135136136135136136137136137136136136135136134136133135136135134134134133132133130129128129131130129128129127127127126124124127128126124124124125126128128127125123121119120123123124127126125125124122122120999999999999999999999999999999999999999999999999999999999999999127128128125123121120120120120120119120118121122121122121122121121120120120119118118115114113117117117118118118116115116116117117117117117117116117115115116114115114117118115114118115118111116114116115116115113116115114115115113116115112115114116113114114116115113113114112112113113116115113112110107111109109109105106106106104109104107109107107107109109109110108109109113111110110110109109108110111108107107106104105103103106107105106101 99 99 96102101999101 96 96 97 99100102103100100 97 97 99100101101104104 98 99 96100 99100105107105105104104105108108106105103102100 99101100 96 97 94 91 90 91 92 92 92 92 91 92 95 95 95 95 94 88 88 87 91 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135134133132133999999999999999999999999999999999999999999120127131127122116115116116113116120124124129133137140143147147145143144145143144144143141141141141140139138136135135135135135135136135134134134134133133134134132132134132132132133133133134135135136135135134135134134135136136136135134134133136135135135134134133133133132133132128128131130130129130126127130128126124123125126126124123123124126126127126124124122119119122122121122123122122122122122122999999999999999999999999999999999999999999999999999999999999999121128128125124120119119122121119119118118117120121121120120120119120115118117117116117117117118117117118117117117117115115115118117117117116116115115114116115115112115117115116115114115113113114115114115116115116116115115115115116116110115114116116114114115115114113114113111112112114114114113111108105105109110106105106105105111105103109107110109110108111113112109108108111111110109109108110111109107106105105105104104103105106106104101 99 99100101 99 99 96 97 98 99 98 97 94 94 96 96 95 93 92 94 97 97 93 94 95 95 90 98 95 98 99101104102103104105107108107106104103101101104100 98 99 95 90 90 91 91 90 91 91 91 94 94 93 91 92 93 94 86 88 89 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135134132133999999999999999999999999999999999999999999120128134122117112112113112115119123126127129133137140144146147146143144144144144144144142141139139138138137136135134136136135135135134134134134133133133133133132133132131131132132133134135133133136135134134133133134133134134134134134134134134136136135134134134134134134135133131131130130132130129128128129128125122123124125124124123123124126127126126124124122120119118119119119118120120120120121121119999999999999999999999999999999999999999999999999999999999999126126125124123122118117117117119119115117120119119119119118118118119118117117117117117117118118117116116117117117116115116118118118117117115116115117116116115114116116116117116116113115118114112114113116116116116116117117117115116117116116117115116114115117114116114116106114115113114115115111107107111112113105105103104110107108112107105109108109109110110114113112109108112110112107112112111110107106105105104105103103105103102103103101105105104102101100103102102100 97 99 95 94 94 96 94 93 92 92 94 94 90 93 96 94 96 95 93 97 98103 99100104104107109107108108107107106105106103100 99 96 91 91 91 90 89 92 90 94 93 92 91 90 88 92 89 88 87 87 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140141999999999999999999999999999999999999999999119126137134116114115117120125127127128129132136139141144145146146143143143145144143143142141139137136137135136135136135136133135134134133134133133134134134132133132133131132131131132133133134134134134133132132133132133133134133133133134135135135135132132132133134133135135132131130129129128127127128127126125125123122122121122124124122123125123126126124123122121119116115116117119120120121119120116117999999999999999999999999999999999999999999999999999999122121122122121121117116116118118118119120120121120119119118117117117118118117117116117117118118118118118118117117116116116117117118118118117116116116115116115114114115115117116116112116119114116116112114116114115116115117118117117117116116115115117115115117115115115114114118119115116113113103108107113113108108113113103105107111107107111106106108111109110111112113115112111110111112113114113110110110109105105104104104102102101103104104101102104104104102102102104103101102105101 99 97 97 95 95 95 94 94 95 95 95 95 98 96 97 96 94 97100101103106 93 99102107106107107107104103105104 97100100101 96 93 90 87 91 87 88 91 92 92 91 85 87 91 87 86 87 89 85 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147147144999999999999999999999999999999999999999999999118121131116112114120121124128128129130131135137141142143144145148144143144144143144143141141139138138137136137136136136135135134133133132133132133133133133133134133133131131132132131132132133133133133132131131132131131131132133132132133134134135133132133132132131131134134132132131130129127126125127125125126123122122123122121122121121124125122124123122122120120118115114114115117116117118117119119116999999999999999999999999999999999999999999999999999999123121120119119118118118118118118118119120120120119119119118118118117117116116116116116117118118118118117118117117117118118117116117117117115116115115115116116114113112115116117115118117118116113116111114114113114115117117117115116118119118116116116112116113111114114113116117118114111112118109112109111111112112110112111110102111115110108108113110110112111112114113113114112112111113114110111110109110108106106104104103102102102103104103102101104104102104106102106103101102103 99101101102 97 99 97 97 96 96 97 98 99100 99 95 96 95 98102 98101 96 96 95 96 99101101101 97 93 90102 92 92 92 96 95107101 98 94 85 90 89 89 89 89 89 90 84 78 75 84 87 89 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148145143999999999999999999999999999999999999999999117116119117112115119123126128128131134138139139141144143146146144142143142143144143143141140139138137137136136135136136133132136134133132133132132133132132134132132131130129131131131131131132132130131131131131131131131131130131132130131131131133132133133131133132131131131130131131129128128129127126125124122122120121122123123122121122123123119118121121119118118117116114114114116115117117115117121115999999999999999999999999999999999999999999999999999123122120118118116118118118118117118118119120120120120119117116115116116116116116117117113118118118118118117117117118118118118117117116117115114115115115115115115116115115115114116116110115118116113118111114113115113115116116111113116117118117117116115111113117114113113114113114116115111115114107110109112112113112113113113104 98110110105106106106107110115114114114113113113112112112111113112110110106108106106104105104103102103103104105104103105106103103105108103105102102102 99 99101103103102 99102 97 98 99 99 99 98 99100 96 98 97100105105104 98 96 94 95 96101102 98 95104999103 93 92 90 93 92 96 96 98 97 95 87 87 90 91 86 78 84 82 89999999 88 89 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151150149149148999999999999999999999999999999999999999999999116113116111114118121123124127131137139140140142144145146145148143144143142143142142142141139137136137136137136135136133134133133135136136135134131132132131131131132131129131131131131132132131130130130131132131130130128127127130130130132131132131132132132131129128128128126124127127126127127125125125123121122120120121120119118119118119120119121123122119118117116115113113115113113115115114118116113999999999999999999999999999999999999999999999999121121121119118117117117118117117117117118118119120119119117116116116117117118119117117118114114118118119117118119118118118118118117116116117114113115115115114115115116115115114114118119118115115113114116114115114114115114114114112115116116117117117118118115113115116114110114109109113113114115106106112111112112115115114114114115 99105111106108107106108111111114113110109111113113114111113113112114110110109106105106105106102105103105105104104105108108108103103105106104104104100100100102103104102103103101 99 98 98 97 96 96 94 94 95 99103102105108103101101 98100101104103100 98 97 97 98 95 94 93 90 94 98 96100100 97100110 90 91 91 90 84 83 81 90 91 87 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155155154152150146146999999999999999999999999999999999999999999999108112111111117122120122126131136140140142142144145146145146144148142143142141141140138137137137138137137136135136133134134134135136135133133132131131131131131130130130132132132132133132131131131131132130130128126124124125127129131132132132132131131130128126125126124123123122124123122123123123123123122120120119118117116116117120118120118119120118117117116113114113114115112112113110111116109112999999999999999999999999999999999999999999999118119120120118117117116116117116116117117117117117116116117117116117116117118119119119119118119118118119119118118118118117117118118118117117117117116114115115114115115114114115113113114119117118115114117114112115117115115115116108115116115116115115115116116117116115115115111114109110107108109111112112112114113112114114114115113114116111105110110111110113112110111111111109109113111110110112112112110110109109106107106104105102102102102102102102104105108107106103104103103105107100 97101 99100100101103102102102 98 97 97 95 94 94 95 99102103 99109104103101100101100102104103 99100105105106102 99101101104 97103 96 96 91 85 98 88 89 92 90 88 86 90 91 93 92 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157156154155153152150150151999999999999999999999999999999999999999999111115110111107115115117122126132136140140141143145144147141142142144140141140140139138139136136138138137136136137136135134133134137134131130133131131130129130130130129132132132131132132131129129130131131130130129126123122123126129130131131132130130128126125124124123122122121121121120121121121121121121122121121117116115115117118118115116117117117116115116115113114112112112111112111108110111110111999999999999999999999999999999999999999999117116119119118118117116116116116115114115114115115115116117117118119120120120120117120119118120119119120120118118117117117117117118118117117117117117116116114114115114115115114115117114116115117116116115117116115114114115113114116116108113116114115114116116114116114113115114111111111107107113107109114113113112112113114114114114114114114109112109114115112111114112110112112113112112112112112112110109109111109109109108106105105102103103102102102104105106104104105105104103102103104103101 98 98 99101102100 99 99101100 97 94 97101100102103104 99102106108104101100101103104103103103105106108108104105101104106102 95 95 94 95 87 96 99 98 89 89 91 92 93 93 92 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160154154154153154151155154156999999999999999999999999999999999999999112115104106112115115117121124133135136137140140142140139141144140139141144141139139139139138137137136135135136135133133134135135134133132133132132131130129129129130132132132131131131130130128130130130131132131131129128127127129129131132131131130127126125124123123122121122120120121120120119121120120120118119118117116114115114114115115111113115115114114114115114114112112110110113112109109108109111999999999999999999999999999999999999118118117118118117116117117116117116115116115115115115116116118117117118118120120120120120119119120120121120121121120118117117117117118118118118117117117116116116116114115115115115112115115112114116116114113114115112114114114115115114115118106115118107114113115116115116114114115110110111110111111109108108114114112112112113114113114113113111114113114108113115114114113111113115114112113113114113112112110108109109108108107107106105106105101104101103104104102100102103103106107105106104102102103102101 98 99100103102 99100101102 98 98101102100100 99109107105113100 99103103103102102102103104106107110106106103103102103101101 99 93 86 85 82 93 91 88 90 89 91 92 93 93 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165161156156156156157157157156158157159999999999999999999999999999999999999999999105111118121119120124129131134136139139139142139139141141140141141142140139139138138136136136136135135135135135136135134136136133133132131131130129129130133134132131131129130131130129129130130130131131132132132131131131131132132132131129128127126125123122121121121120120120120120119119119117115116115115116113113112112111110113113112113111111111112112109108109109109109109111109106105103102999999999999999999999999999999119119118118118119118117116117117116117115115115114115116117118118117118117119119120120119119119119120120120120120120120120118118117117117118117117117116117117116116116117116115114114115115114116113111115115114113113105112112111114115114112114116113116116105117113115113114116113114114115114111113110109109109109108113114114113114114114114114113114113113114112112113113114114112113116115114113114112112110109110109110108108107106107107106107105102103101102103103 98 98101103105106108105105102102102105105103104103102102100101102105105106 99100101101 99102109112108114102103103102103102103106110107109109109109109107109106103108105106104 81 95 92 92 94 86 88 90 90 91 94 96 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164163160160159158158160160159160159161999999999999999999999999999999999999999116102106110115117119120126126132134135135136137136136139139139140143141140139138137138137136136136136135135136136135134134135135133134133132131131130130133134134130129129129130130129128129129129128128128128129130131131131132132132130131130129128127126125124123122122122120119121119118118118118116114114113115112111112112111111111110110111110109110110109108108107108108107107109109108107104105999999999999999999999999999118119119119118118118117117117117118118117116115114114116116117117117117120121120120119118118119118119120121120120120120119119119119118118118118116116116117116115115115116116115114113115114114117114112113112113114113115112114114114112111114115114115113115115106115111113117113115116114114113112109111110111111113108110112113114112115114113114114114114112112114114111108110108114113112113113113112112111111110111108109110109109108107107105105106106103103102104101102102101101103106106106103105105104104104104105106108107102101100104106108107107106106108109106106112113114106103104105105105106106108110108110108114113108110107104104108104104 96100 96 94 96 93102 91 93 95 99 99 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171166167167162161161161160161163162163163160159999999999999999999999999999999999999999107108105111117122119120123129130131133132134134133136137137138139139139139138136138135135135136135134134135135134133133134135132135135133131132131133133133134130129129129130130130129129127128128128127127127127127128129129130131129131130130129129128127127127125123124123122122121119119118117116113112112112113114111112112111110108109111107109108109107108108108107108108105105109108107106103105999999999999999999999118118118118118118117117116116116116116118117116116115116117117116116116116119120119119119119118117118118119120120120120119113120119118118117118118116116117117113115116115113113114113112113113115113112106109107105114114113114113112112110112114114111111113115115106114115114116116115115114114112111110114107110109107108109114113115112113113112112112112114111106107112111111112115114114116115116116113112112111111111109110104108109109108107104105105104104104102103101103103103102104106106106107104106106106106104105107107106106104104104104107109108107108108109107110110112113112105103106108108107107109112114114114115113111110105103108104102101104101 97 95101104107 96 97100 97101 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172166166166165161161161161164164165162162160158999999999999999999999999999999999999999999105106113118118117120120123125128130128129129132133136134137136137137138137137138134135135134134135135135135134135134134134136137135137134132131131130130130129129129130131131131130129128128128128128127126127127127127127128129129130130130129129128128127127126125124124123122119119118116117117116114114114113113111109111111111109107110110109110111107107109109108108107104105109106104105106104106999999999999117117119118117117116116116115116115117116115116114114115115115116116117119119118118118117117117117117116116116116118119120120120119119119118117117117118118117117118116116115114114114113112112112111112116108107111108107111115111112109107106105107114111111106111114117115114115116115111112113115114112111110113114111109112113112113115114116116113114111112113112112111112112112111113114113114112115113114114112110112111110109108109107109108109109107105104103104103103105102103104104104104106106106108108107109108107108106107106105106111111108108108108107108109109107108108109108111113107107105108108107108111110113114113114113112109106103104111105106103107103102 96 97104 92 93 94 97 97 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172165165167164161162162165166166166165163160157153999999999999999999999999999999999999999105106109112113115119119119120124124123128130132133134135134134135135136136137138137136136136136134134134135135135134132133133136137137137133131131130130130130131132132132132131132131130128128127127127126126126126127127127129129129129130128129129127127126125125125124123122121120120119119118118117116115114114114111112112112110109111112110110111108106107108109108107108108106103102102103104102108999118116117117117117116116115115115115115115116117116114114115116116116117119118118117117116117117117117116116115115116117117119119120119119119118117117117117118118117117116115115115114113112113111111106110111112111111112106106111114114109110109114111105112114114115113114115113113115115114104111112113114113113112111113111109111114114114115114115110111114113112114113110112112112110110112113113115115113111113114111107110112108109107106107108109110108107105105104105103104106106104107107108105105107107108108107110110110110109107108106107108110108104105106107107109110110109108108108108108109106106106107106108109110111111112112112111110108108108112111105106107104100102104 99 94 92 92 93 92 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167166165167166164165165166168165166165164164162999999999999999999999999999999999999999999114112110110111116120119118119121122125128130132134132132134134134131135136136137137136134134133133134133133133134134133133133133134135136135134134134132131131131131130131131131131129128126126125125125125124124124126124124126126128129129127125124122124122121121121121121121120120120119117116116116116116116114114112116115115113109109111112110111110107105105108108107106103101102103 99 98101106112113114115117116116115115117117115116115115115116116115115114114116116116117117118116116116116116117117117116115115115115116116118119119119119119118118117117117118117117117116113114114114112111114114110108110113110111112111113110108113114113115111111110110106111112114113113114112105109115113114114113113113113113112111113114108111112113113106115115111115115108108112113111111111111108109109112112113105112112111111111111112111106104108109108109109112109107105107105104106106108106108110111108108107107107109109108109109110110110110110108108108109109108103106106107108110110105104107107107108107105105106105105107106107108107109109110109110108104106111105106108105106100104101102108101 91 92 89 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168167165165169169167165165167165164164166167166999999999999999999999999999999999999999999999116116112109111116121119119120121122124126130132133134131129131130130130134137135137134135133132133132132134134133133133132129134134135135134134134134134133132133130130130129128127127126125125125123124123123123123125123123126127127126125123121119119118118118119120120119119119119118117115114114115115115115115115118118116116116111110107108108108110109108102999104102102101100102101102107102104110112114113115114113113115115115115114115115115116115116115114112111116116117115117116117115116116117117117116115115114116117118118118118116119119118119118117116116117117116116113114113113112112113114111109111112110113110105109109106109110113115109110108109111111111112113112111115110111113110114113111112113113113113114113112109107111112112113113114114114112113102107112111111110111110108112111112108110112112112111111110110111111105110111112110111112111111108107108108108109110109110111109109109108108108108108109110110110110109110109109109108108107109108106106105105106107106105105106105106104104105106104105105105105104106105106107106106104103107107105106104106107104103101100101103 92 91 91 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166168168166167166169167166165165165164165169169999999999999999999999999999999999999999999999999112112106110115120121120124122124122124125129126127127129130128129131133135136134136135132132132134131133132134132133132132132133136136135134134134133133133134127128127127125124126125123124124123124122123122123125126125127126124123122121118118117116116117118119119119119117115115114114113114114115116116117119121120117116114110113113112108110108106109103 97100101100101102102999999999104105107108110110112111110111112113114113114114114114114114114112113115110115115116114116116117117116117117117117115115115116118118119119118117117117119119119114117117117117117116114113113113113112112112114115116118116110111109109108111106109108113113107108109108111112110111114113114115114109115111113113110111114113114113112113115111109114113113114114112113116118111112111107110108114105105108111112111112110112112110111111106107107111112112110108110110110110111109108110110109109109109109112110110111111110111109108109110110111110110109109109109109109109109107108107105105106105107110109110106107104104105104105104103102102103103103102104104104103103107107106104104104104103103101100 97101 91 92 92 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167168168168167166166166167165166166166166168169999999999999999999999999999999999999999999999999103106107111115118118120122124125122125126125126126127128127127129133133135137135134135134133133132131130135133130131131131132132135136136135133131132132133132129127126125123123125122123123125125122124123123123125126125126126124121121122121120119117116116117117116115114115115114114113113113114113114115114116117114114112111111112117112110106108109110107101100100 99999999106109999112111110111111111110109108109113110113112113113113112112112113113114114115116116116116116117116116117117117117117116116115118118118118119119118118118117119119118115117117117117117116115114114113114114114114114117114115117114108112111111113109104114115113114108105108109110113112112114114114114107109109111111109113113112113113112111114111112112113112113114114113114112115112112112113114115108105110112111112112112111113112112112112112108111115113110110108110111112111110110111112110110110109110112112112113112111111110109109110111111111110110110109108109111110109109109107104105105105108109108109109107106104105105104104103104103102104102103105105105104104108107103105105105104102102101101100 99 99 96 90 89 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167168168168165163164161162165165164165165166165163999999999999999999999999999999999999999999999999104104108109113117116117118120121123123124124124124126129129129130132134136136138135134134135134133133132132129130130132134132132137135135134131130129132129131130128125127126126126125125124124125124123122120123124124125124124123121120121121123120119119115113112112113113113113113113113112112110109111109110112110108109107106106109110105104103102103103104102100100999999999108113113111113110111112108108109109110110111112113113113112111110110112112113114115117117115116117117117116116116116116117116116117118118118118118119119118119118119119118118118118118118117116115115116116116116115115114114117114115113107112111111113111105111114115114114113108106109111114112112112113113113110112111110112114111110112113112113113109112111113113112112113112112110110111111110113113113113112106107112110112111112112111111110113109110110112113112111111112112112112112110111110111111111112111112112111111111112113110111109109109111111112111110110109108110110110110111107107106106107109108109109109108107107106105104105103103103101101101104103103104104105105105103102103103105103102 99 99 99101102 91 93 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169169164162160161161161162163162165166167165160999999999999999999999999999999999999999999999999109105106106111113113114114116118118119122122122124127129130130130132133135135135135134134134133131131130132134133132133134133133134133133132131131130128128128131129128127128126126126125125125125124123121121124124123123123123124122121121123123122120119118115111111111111111111111111113112108106105104102103105106107105105104102103105103102103102101102101101100103999999116116115115115112112112109108108108110112111110112112115117115112111111112113114115116117117116115115116116116115115116115116116116117118118118118119119119118118119119119119118118118118118117116116116117116115115115115112113114114114114113112111112113112112112112112114115108114108109111112110111113109108114112114114110110113114113113113113112111114114110110110112113113112114112113107108111107107112113113103110112108111109111111112112112112110110110112113111112111111111110112112110111111110112113111109110111110111111110110111110109109109110110110111110110110108109110110111109110107105106108106107107108107107107108106106105106103104104104103102104104104105106106105106102103103105107101 99 99 99 97 98 98100102 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168166164162161161160163164163165165165168166164160999999999999999999999999999999999999999999999999104101105109110111111110112115116117120122123124127128129129130132133133131132132135133132132131130129134133134133134135135134135133130128132131129129128129130130129126126127126125125125125125124122121121123124123123123123123123122122122122120119121118117117113110110109110109112110107106105104104105105103104105106105104101102104101 98102 99 99 97102101999999999999115116116116116115113113112110109110110111112113114114115117116115113113113113113115116116117116116115115115115115115115115116115116117117117117118118118118119119119119119119119118118118118117116116117117116116113113114113111114112113114112110111114112112112112113110115114112109111111113114113112112112113111111114114113109112112113113112112113113114115115115109112113116113114111110111110110107108105112112101109112112110111111111111113112112113110109111114112111109110111110111112112111111111112110112110111110110110111110110110110109109109110112112113112111110110109109108109109110110107106108108107106107107107107107106106107107106105104104104103105105104103104103103103101102103104104100100100100 98 99102 92 90 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168167165164164163162163164165166165166168169165159999999999999999999999999999999999999999999999999100105103106106106106106105111116118122124124123125126127126126128128127127127129132129129130130129132134134134133134134135135135135130131130129129128128128129128128125126126125125125125126125122123122122121122124123124123122125123122122122120119120119117116115111109109108111109105104106106106107105105103106105106103103103102100 97 95 96 98999999999999999999999114115114116116114116115115113111109112111112112114114115114115116117117115114114114115116117116116116116116114114115115115115115115116117115116117118118117117119120120120119119118117118118118117116116117117116114114114114115114113111115112113116114115114114113113114115115112112110111112113109114112113114113111112113114113112110110110113110112113113114114114110115116115115113114109107110108110108111105112111103101110108112106111111112111112113114113113114115116115114115110111113113113114111111112113112110111112110111111111111111110109109110110110110112113112108109108109108109110109108107108109108107107107107107108108109108107107106106105104104102102104105104104103103103 99106102101102101104104104103102102 91 89 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171168165165163162162164165165166166167168168165158999999999999999999999999999999999999999999999999999103104103106108106105103105107114119119123123123123122123124124125123122122123124127126126127127131132132133133134133135134134132131129129128128128126126126127126125124124124125126126125125124123120122121121123123123123122123121123123125122121121120120117117116116115114114107102103103104105105104107107105104105104103101100 97 95 95 97 98103999999999118117114113115113115114114115116115114111112112113112113113113113114113115116116116115115115115116117115116116116116117116115116116115114115116117116116116116117118119120120120117119119118117116116117117116116116117117116115115115116114115115115108113115114115114115114113113114115112112113112112111112110113113112113113113114112113113110111114114111113112112113113114111110115115115113115115114110107111109109112112110104104108108111110110111110113113113113113113113114114117114115115114114113113113115113112113113111112113112110111110109110110111110110111110110112111110109108108108109109110109109109110109108107107108107109109109108109108108107107105104103101103104104106104100102103101107100 99100100102101102104104104105105 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169167165163162163163163164164165166168167159156999999999999999999999999999999999999999999999999999110102104105106102101100 99100109113113117120118114113115118120122124121121122122123124126126127130130130131133132133133132133131130129130131130129127127127126126124124124124124124124123123123123119122122122123122124124122123124125124124123118118118119118117118118116116107106105102101101101100 99103103103102102102101100 96 95 94 97 98 98106999119117119119116117114110115115115116116115115115115115114111111113113113113113115116117116116116115114114115116116116116116116115115117117116116116114116116116114114118118119118119117117119118118118116115116115114114115115116117116116116115117115115114113112110110115115115114113113113115112111112112113111110111115115108111113113115114112114113113112110110112109112113111111113114115115116112114116115112106112107112112112112112111107108110110108110111111112110110115115115116117114110116116114114113113113114113113114114113113113112112111110111111110113113111113110110110112112110108110109109108109110109109110108109108107109108108109109109109109109106105103104102100105105106102101102105104103100 99100 99100101100107108108108107 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168168168166163162162163163161164166168165165162158999999999999999999999999999999999999999999999999999999102101104104104 98 98100 97104106107113115111112112113115119122123123120122124123125126126129130130131131132132134133133133131131132131130130130129129127128126124126123124124124122122122123123124125125123124124126126123125124123122123122120118118119117118120119119115108104101102100100100 99 98102103102 97 96 96 97 97 99 98 95 99 97102109111115118118114117118111111111115116115115117115114115114117116115114113114114113114116117116116116115114115115117116117117117116117116116116116115115115115116116117117118117118118119120120116115117119118117116116116114114115116117116116117116118116113113111111109111112115114112112112111115113113113113111113110112114114111112111112115113113110113112110109112109110109113113113109112114113113113114115116114117111113113113112113111112110110112111111112110113112111110112115115115115114114120118114115115113113114114113114114113113113112111112111111114113113114112113112111110110110110109109108109109109109109107108108108107108108107106108108108107106107107104104102101104104103103104103104103103102102107108107106107103103104104104103106 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172169170170166165164164163163162165166166165165164164999999999999999999999999999999999999999999999999999999999107109116102102102100104104103102107107105109113113115120122121120119122123123125125124126129129130130130132133133129129129131131130129127128127128128128125123123120124121122123122123122122122123123122123122123124123123123125125123123121121121120118118121118118115110105104102100 99 99 99 96 98 99 98 96 95 94 96 94 97 99 96 94 93 97107111114116117116113114112111114116115115115114115114114113115116116114114114113113114115115114115115113114112110114115116115115112113116115114114114114115116117117117117118118118118119120117115115115118118118115115116115114114116117117117116117118116116118110107111109115115115113112109112111111113114112109112110113111111111112108107114112113109114108111110111112112110115113115116114113113116115113113114115113113117118114113114115114114113112112112109111114113114110114115114115116117116121117115115116115114115115113112114114113113112111112111113112112112113113112112110110110109110110109109108108109107108109108108107109109109108108107106106106106105107105103102104104105103103104102103102102102101101106106107106107103103104105101101103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170170170169168167166165164164161166165165165163162999999999999999999999999999999999999999999999999999999999108107105101104109106109106107107105106105109110112115118119118119119120122122123124123122125128129128130131131132129128128130129126125125125124125123122123122120121119121121122121122121122122122122121122122121121120120120123125124122119118121119119118120118117118115113106106103101102 98 98 95 91 88 88 93 97999 94 93 94 99 95 96 97102108111111111114112117117115118117114115114112114115113112114113113114109108114115115115115114112113113113113111110114115115114115111110114115114115115115116117118117117117118118118115116117115118118118115115116116115117114116117116117118118118118116116117116113111111108116114116112111110110112108110112111112110114115116115116107108112113107109112111109112112112113113113114113115113114114115114112114114117117116117118116117117118116115114112110112109109111114112112113115114115116115115116114115116117115115115115116114115115113115112111112112111114113112112112112110110110111111110110109110109110109109109109108108108109109109106108107106106107106108108106105106104103104104103103103102102101101101100101102101104106105103103102101101100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169170170167167166166166164165166165168164165162161999999999999999999999999999999999999999999999999999999999999105107101104111110113109112111112112110110113115117119117115117118119120123124125123125125127127132131131132131133132130127127125124127123119123121120122122122121120119120119120121121123122122120120117117115115115115117118121120120118117117118119119117115113117114115112113108109106101 99 97 96 84 88 95 97 94 94 91 93 96 91 89 93100104106106108112114117117116117117114115113112114116114112110113113112112111112114115114114115115115114115113114111113114113115115116116116116116116116116117117117117118118117118117115116115118115115115114113114115117116116116116117117118118118118120116113112112113117114116110112111112111111113107110115113111116116118118117118114106113115108116116114114115114112112114113112112112114114115117114114114115116116116116117113112114118117115114114112110110109113112112113113115114115115116118115115114115115114114114114114113114113113113115115114112112112113113113110110111111113113112110111109110109109109108109109107108108107107106105104103106106106104106107108106105102101102102102103102102101100100100101100101100105110110112106104103104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170170170167165166167165164166166167166166165162157999999999999999999999999999999999999999999999999999999999999105104106110114114116118115110108108107108110112114117116114117117117119121120123122123125127128130133130131133132130129130128125124124123122122118121121123123120120121120121120121122122121121119115113111110108107110111114116116118117117119119120120117116116115113111110110107108106104 96 92 90 84 87 93 94 93 87 86 91999 88 91 94 97 98103106108115117118118119117117115115114115113115112113112113113112112108113114114112115115115115114114115114112113109113115116117116116116116116117117117117115116117116117117118118119118115115115114112115115115116116115117117117117117118117118116116113115117117117117117118113107111113116111112112111110113116116119118117119115113115115114116118117115119114109115115114120115115116117116117114112114114115117117116119118117114114118116116113112108111112113114114113114115115114115116115120118116114117116116117115115115113114113113113115114113112111113113113111113110112113113111111111110110110110109107108109107108109106105106104107106106104103105104105105107104101103102101103102102102102101101100100100 98106107109110106 98 99103104102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169170169165166165165164166167166166166166165162999999999999999999999999999999999999999999999999999999999999999105109115115117115117119120115111113111110110106111114115117116120117120126123125126128128129129131130130132133134132130131131128127125123123120121121122122122122122121120121121120122123121117113111111108104102103104105106110113114115116118118120119115116117114112111109110105104103103 96 92 88 88 85 86 87 88 88 97999 80 79 86 91 98103106107109111114118119119118118118119116113107113114112112115115114112114114112113113113109114115115115114109112113110115114115114115113115116117117117116116116116117116117118118117118118118114115117115115115116117116116117116118117118118117118117116118117113117117116114117114113110114108108113115112113116117117118119118117118118119118119120118119119116116115116115116115116115114114115114114115116117112116119117118118119119119119118116115114112112112113113114114114114113116115117117119120117117116118117116115116117117115114114114112114114113112113113112111111110110111112112110111111110110109108109109107109106105104106106107106106107108107105104106106106107103103102103103102102102103101102102102103102102102105104104107107107104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165168168165163164164165165167168166166166166164163999999999999999999999999999999999999999999999999999999999999999999112110120115115117122124120117115112113112112112114116116116116120125127128131132131131130131130130132133132133133131130129128127126125124123123120119119120121122121121122121121122122118113113112110105102102101101102102105109111113116117114115116114113112111110110112109104104103106100 96 89 87 81 82 76 76 84 89999 78 77 84 93104108110109109111111118118117119119118118118114115111113113112115116116116113113111112113107112109113115115114114113113112114115115115115109113115116117117116115116116117117117117117117115116116116117116115116114115116116117117116115114114116118118117116118117113115114113115116116117115111108111114113111113115114120118120119119119124121120117119118117117119118116118118117117116113114113113115115116116116116114113116117117116116115116116116117112113111112111112114113114113114113113115115117118119118117119118117117113115118115115114113114113113116112111111111111111110110109110111110109110110109108107109109107109107105106107104103106107107107107106104104105104104102102102102103103101102102102102102103103103105109109106108107107106106104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163163167169168165165165164168167167166167167164164164999999999999999999999999999999999164163161162162161158160999999999115116112114116116119125121120119117117118117113115120124123125128130132133134133133133133132133133132133133136134131130130128127128126125125123122120120120121121121122122122122121118116112111111110108104105104104103104107109109112114115113115115113112110110111110108108103103100 96 87 85 86 84 81 79 80 69 78 79 78 79 88 85 94106109108108110112117117119118121120120119117114114115116116114115116116109111110112111113112112111112111113113113113113112112114114115114116113115116116116116115115116117117114113116115115116116117117117115115115115116116117117117115116115116117117117120123121117117117115115117116116116116116116112116115113116117118118120119120119118122119117117116118116116118118119118118117117118119114115115116116116114115114115113118109117114115116114116115115114113114115115115114115115114113116115116116117118117114116115115117113117116116115112110111112113112110110110111112110110110109110109110110109110110108108108109109108109107106107103107106106107104103102103105104104104102102102102102102103103102102102102103105107107106105105105108105104106105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163167167169166167165165168167167167168169169165164999999999999999999999999999163163163161161161162161160157159158999999111111111114112120124123123123120121119119118120125128129130131132134134135136139139138136138138135132131133134132131128123130126125125125124124122119120120121121122121120120119115113111107107105107107104103104103102105106108110111111112112111109110108108111107106104 99 96 89 84 83 83 77 75 84 79 85 75999 76 78 87 83 90 97104106106108111114113116114119120120118122121118117115114114110113112111108109107103105108107106111105106111113113114114113107114114113114115114116117117116116116115116118117113116115116117114116117117117117115116116116117117116117116115115116117116117117118118118116115114115114115116118117115112113112112113113114119119120120120119123121120119116117116119117119119118117119118117118117116116116117118118114116118119118121113111112112116117116112113112113115114115115115114115114117116115114115115114115115112111115112116116114114113113113111114113113111111111111109109109110110111110109110109110109108108110110110107108107107107107107106106108104102105104105105104103102102103103102103103103101100102102104106106105103105109106111105106101107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162163167167168168168167167168169169168169169169166161999999999999999999999999159161159159160159159159159160159156161158139115111108110112117120124123121121122120122123125131131134132130133135135138139141140139139138138135135134135133133131131128131129125122126125122121122121121121120120119118120119116114112109106105106107105108102104106105103104103106106104104102102103107105106103101100 98 88 85 89 83 85 79 80 83 83 78 81 82 77 78 85 90 94103105105108111113114114119120118120122119119118119116115115113112112110109103107103102101103107107106105107108108113108113114108112111112115116115116116116116116115116116116113114116115116115115117117117117117117116117118117117117117117116116115116117115116119117117116114113114115113112115116117112115118114115114118117119121122121120122120120121120118119120118120118118118118119119118117116116116117117119118119120121118117118116112114111116115114113113112114114114114115115116115116114113114114115114114114113112113114114114114115115114113113114114114111112112111111110110110110107109110110110108110109109108110110110110111109108109109108107108107105102104104105105103103104102102103103102102101102102103104104104104104105104108108103102105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166167167169169169167167168168169169169168168167999999999999999999999999999999157157160159159159159158158155154158154151145112109108112115118122123121122122122122123129130133132130130138137139139141141140139141140140138136135136136135133131131132131128128126124124123124122122122121120120119119117117115113111109106105105104104105102102102100101101104102103103102106106105105105100 97100 94 91 85 83 86 80 82 77 79 75 71 79 79 84 85 93 99102106108106110114115114116119120119120119121119119115116115113113113110108108106104101 96101103107108109109110110111113113114113114113112114115116114116116115114113116113113115114115116116116116117119120120124123121120120122121119119119118118118116116116116117118118116115115114115115115113115113116115118119119119120120123122121122123123124124124122119120120121120120117116117115113118118117118117118119117119119118117119118115115115113114110114115117116114114113113115112114116115116114114113115115117115117116114113113115115116116115115115114112112112112112113112110109112111110109109110110110109109110107108111110111110110109108109108108106106107107107104104104105104103103104105102100101102102101101102103104104104104104104102106107106107106114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169169169171171171171171168167169168168169168167999999999999999999999999999999157157157158159158159158158159157155157158153150146999109109115121124126125123124124125131133131133134135134138141139141143143143142143144142140139137138136135134133130132129128128126125125124122121124121121122121120120119118118117113110108106104103101101100 98101100100102102103101103103 99 99 97101102100 97 93 91 91 87 85 83 78 79 80999 74 81 85 85 89 89 95 99102104107107109112115116118113119117119116117118115113112113111112110107106104103101 99 98101102106107107108108108108110111111114107113113115114114115116112116115115116116116116114116116117119121126127128129129129127125126126126124122121119118120119119118118117119119117115115114116114113112116116115116118119119122121121123124126126127126127127126123119118117121121119119114116114113115115115117116117118118117118116118117117115116112115115116114115114116116115117111113111109112115117115114114116117116116116116115114114113113114114112114113112112113113112112111112110110112112110108109109109109109109109107107107107109109109110109106105108107107106107107107104105105105105104105104103102103104103102102102103104104104104104103104105105109106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165168168172172173173173174171167169168170169169168999999999999999999999999999999154158159160158159160159158156156155156156154149145130107109113119125126126125125126129132132135136139141139141142142143143143144144143143144143141139138138136136135134135133132130129127125125126123120125121121122122121120119118117115112108107107105102101100101100 99100102104102 97 94 95 94 92 97100 98 97 95 88 89 89 87 84 85 80 77 66 71 75 80 83 82 81 81 82 94101103107107110113115116117118117116118120113114115113113110110113111110108105104104103102103105107107108107108109111112113112113114115116116117115117117112115115116116115115116116117117120125128129129130130129128127126128128126127124123123120120120119117117117119118117116114116115114115114115114115116118119118122121122123125125128129129125125123124123121122121119117117113117113113115113116116116117117118117119118119117116117114112115116115113113115114114117117116114112115112117115115114114114115115116116117117116115114113112113114112113113114114114113114112112109111113112112110109109110110110109107107107108109111110110110110112109110107107104107107106106105105105106106105105105105105105106104102103103103103104104104103105107107108100100104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165169171174175174174175174174171170168169168167168999999999999999999999999999155156157158159160158158157157156156156154154154149141130109110111116124129128127127128129132136138141144142142143143143143143144144144146144144145144143142141140140138137138137134134130126125124125124123120120121122124123122121121120118116114111109107106105103103101 99100102103100 98 93 90 88 91 96100 99 94 89 86 85 85 85 84 80 76 71 69 73 78 77 79 77 77 78 83 89 99104108110112115116117117117118116113118119114117115113114116112111111109107105108106107105108108109108109110112114114114113111117118115117118118118118117115117118118116115115118118120123127130131131131130128129128127128128128128128127126123121120120120118122122119117116116115116114115115115116117118118122119120120121123125127129124123126120125126125124121120118117118121118115115114112117115117117117118120119118113117120117115113114117114113116115116116115114116118117115113114113113113115114114114114115115116115115112112111112113112113112114115116116116115113110111112111111110108109110109110110109108109108110110110110112110110109109108107107106107106106105105104105105106105104103105104106103103103103104103104105104105104106106107108106100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168172176176175175176176174174172171171169168167169169999999999999999999999999156157157158159158158158157157156155155155155155152142128117113113117122127129127127129130130136139140143143141144142144142142144145145146146145144143144143144143141141139137137136136133131126124122123123122123124124124123121120120119121120116112111109107109104105108105102102103103 95 93 92 93 94 96 99 99 90 84 82 82 85 84 76 71 68 76 78 77 78 75 75 76 78 84 91 98 98103107109112115116118117117118118118119118118116114114116117116113112111111112112111109112111111112112113114114115115116117117118119118119121121121120118116117118118116117116117119123127128129131131129129129128128127128129129128127128125124123123123123122122122120118116118116115115115116116118119120121118116118122122123127129127126126124124125125128126123124120120116119113115116114113113116116116117119120118117118121118113113108114115115115116114113114116115113115114115113114115112115115113113114113112112113113113112111112111112113113112113114115115116115116112112111112110111111111110110110110109109109109108112111110111111110110108109105105107106106105105104104105105105104105104104105104105106103105104103104104103106106105107108109108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171171172172173175176172172173171174171170169172172170169999999999999999999156157157158158157156156157157157155156157156154154152145134122120118119121128130129129130130132138140141142143144145143144144143146148144146144146144144142143142141142142141139136137136135133129127123122121123127124126123121118117117117121120117115112112109110105110110106105103105103 96 92 91 92 94 95 97 91 83 82 78 78 77 76 73 71 71 73 75 75 77 77 77 73 81 86 98 98 91101108108110112114115118117116117113118117117117114118118116117113115113114115117115115116116115115116116116117118118119119119117120120120121121120120119119121122121117119118120122127127128129131131129128127128128128127129129128127127124125122127125123122122122120118118118118116116116117117119119118119120120120122122126124127128126127128124126127128129126121120118120119113114115113111112113116118119119118118118119119114113113116112115115117116118117114116113111115116116111114114114114115112114113113113113113112114112112112113114114113114115114115115115116115115115114114113111110111111110111110110110109110110112111111111106107106107109104108108108106105105105104104105104105105105103105105105104104105104104104105103105106106106108110107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165171174172173175176175172174175179179178175173172171170167999999999999999999158160159160160160158155155154155157156158156154154153151144135122120123122126130131132133135136139141141141143144146145146146145148147147146146146145146146144144142141140140138137135135135135133128123126128125128127127119119117117117117117117116115113113110112110111110108105104104105 96 97 91 90 90 91 94 87 82 80 80 80 80 75 71 68 74 75 75 77 77 77 74 75 87100 98 89 92 98101109111111103115115113117118119120120115116111115117116117111114116116119121120120119119119119119119120120119120120119121120121121121121121120120120121122123122122121121122123126127128128130131130131128129129129129129129129127128125127126126124122124122121120118119119119117116117118119120120122121120123122125126127127127128128127129127129127128129126126122118119118117114114115116117116119117118120119119121117113115116120110114114117119118117117115117116116117112115112111114114114114114113112112114115113116114111110113113113113114114115115114115114114114115114115114113112110111110110111111111110109110111110110108109110109105110108109108106108105105105105106105105105105105104105104104104105106104104104105104104105105105105106110109106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167166171173173173174175176175178179179180179179178175169167171167161999999999999158160160159160160160158156153153157157157157157155155153148144138130125124126129132133134136138141141143143145146146148148149150150149148148149148149147147147147144143141140139138137136136134136133129125126126125126127128124121118121120119116117112115116115113110109112112111107106107105103100 97 93 92 92 89 84 83 81 73 73 74 76 75 75 76 75 75 76 78 76 75 86 87 92 88 92101103105111112110111114114116117111115118118116114112115117116117116113118114119122121118119120120121121121122121121121119120121121122122122123123122122122122123124122123124122124125126127128130131131132133132130129126129130129128128128129128127126124124119120121121119119120119119118119120120122123123121121121123126126126126126128127127127124126127128127125125123121120119119116115114113114114114117120119119119122123119114115114117118117115115116114113113115117115115112110112115114115115114113114112112116115115118114114111113113115115113114116116115114113113114113115115115114113113110110109110110110110111110111111109109108108107106110110110108107106106106107106107107106106106105105105105104104104105105105106105105105105106105107107110111109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167169169168172172175176177177178177176176177178179179178175174173173169167999999999999157159160158158156156155156154153154155154155156156154150145140137133132130130132133134136139141142144147149150151151152152151150151151150150150149148147147149147146144145141140139137137136136136134130125125125125126129127126123122123119117114113115116118118116116117117115115115108111104105101103 92 97 93 88 83 81 78 71 71 70 74 77 76 79 79 79 77 77 81 81 86 80 91 88 97103107110111112112113112111114114116117116119116116114113116117117118118118119118119118118119119121121122123123123123122122122123123123123124124123123123122122122123124124124123122123127127127128128129130132132132132129130129130130129130131130130128127127125119121120120119120120120119122122122122125125125125124125126125126127127127128129127125124123125125124123123120121119120118118112117115117114117121121120117122118115116116119114116117116118118117116116115114120117116114112113113114115113114114113114113113117120115113113111111115115115116115115116114113114114113114114114112112112112110110110110109109109110110109108109108109110110110110109108107106106106106106106108108107106106105105106106105105105106104106106106105105105105106107106108110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167169170171171169173173175176174175174174173174178180181181179177174173171167999999999999161163162160158156154154155152152153153153154154154153150146140137135135135133134133135139141143143147150151152153152152153151150151152151151149149149148148149150148149148142142141138137137134137133131126126126125128129128126127122119116113110111114116118119119119119118116115111115110106109103 99 90 97 94 88 82 78 77 73 66 72 74 74 76 74 73 75 81 87 90 99 79 81 90100103105110111112111112112111113111109118118118119118116114111110116117118120119118119120120118121118121123124124124123124123124123124125125124125124124123123123123124124123125123122122122127127127128127128129131132133134135136133130130130131129128128127129128126120121121118121120119120121121122123122125126125124124125124125126125127128128127127125125125125126122121121121120119119119118115116116117115117119121121116116118116116119119118118120115119119119118117119117118118119117116116117117118117116115115114115114115117114115114113113114114116116116116115115116114113113112113113113112113114114111111109110111109110109109108109108106107105107110107107107106105106106106106108109109107107107107106106107107106106106107107108105105105105108106108109110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167167169170171170169173172174173173172168170172175181182183182181179176174172169999999999999160163161161160157157158156154152153152152155154151150148147144142142141140136135135137139142142143147149152153153154153153151150151150150150150149149149149150150150149146145142143142141138133138135134132129127131132130128126123117111113116108109111115119119120118120118116115113116115115110108103 89 92 90 79 77 74 74 74 79 80 77 74 74 76 74 73 80 82114 89 81 90 98105108111111111111110109111115114109115119117117113117116113112109116118114114121121118120119120119120123124123123123123124125124125126127126125125125125124125124125126125124124125124123124126127128127128128127128130131132132134134137135133134130132128130127125124121120118120121119119119119121119119121124125124122124125124125125124125125125125124125125131130127122122125124121122118118117116116119119119117119120116117117121119119117120118119120120118118117119118118117118119117116119117117116116116116116115114114119118117113116114112112114114115114117117115116118118117114112113113113115114114112112111111111112112111109109109109108107106106106106106106107107105106108107108108108108109108109109109108108107107107108108108108108106106105106105107108109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171169170170170171174171173174175175174173170168172173176181183184183182180176173170999999999999999161163162161161158157157155154154154152151153153152150149148147147148147143138136136137142144144144147148151154155153153153153152151150151151150151149149150151149148148145142142141139140137139139137136134134136135136132127125121113115113115111109111117119118118118118117113112107113114112111105100 90 85 81 77 77 75 81 84 86 84 86 82 85 82 79 78 86 85 91 98 92 97102108111112112112111112113116117117117117120118117114116118115113114114115118118120119118119120121122123124124124123124124124124125126127126127126125125125124125122125126123124123124125125126125126127128127126128127128128130132134135136138137134137133131128127126126123122121121121120121121120121121121121122121122122122123123123123125126126128127128127127129128126126126121122124123124124122120120120119120118118119117118119120119118118120120121120120119118118118121117118119120121120122119120120119117119119119119117117117114116115114111110114116116115117120116116117118118117117113114112112115114114114114113112114114112111108108108107106106107106106107107104106106109110109109110109109110109109109110110107107108107108109109108109108107107105105105106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172172175173172173173173175174175173173171171170173176177180183185184182180176174167999999999999999163164162162162163162157157156157156154154154154153152151151150150149149146141138137137141143144144147151154155155155153153154153151150151152151151149150150149147147146146145140139136137134134135137137136135134138134127124120119109111109103104107113118122121120120114112110109111113114111109102 93 88 84 76 78 75 85 74 80 84 93 89 92 93 88 83 88 92 91103103100103108110111111112114113114114114116116114114115117112120115118116115115114115116115115115117119120121122125124125125124125125125125124125126126127127128126126125125123125125124125126125126125127128129128128128126127127126127128130132135136138136139138135132128128128126126122122123122122121121120122120121122121122123122123123123122122122122123124125127128127128131126126122120123124127122122120119119118119120118118116118118118120118119119119121121122119121120121122121120119120120120122123123121122122120120121120119119119118116121119116111115118116113116117117116125118116118118117116118113116117115115114114114113114114113113111111108108107106105105105105106105107108109110111111111110110110110111110111110109106107106108108107108112111107106104105104101105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170171173174172173173174174174175174174175175172170173177177177182185183184182180177999999999999999999165165164163163165163161160159158157157155155154154152151152153153152149146143140138138141142142143148152153155156156155155153153151153152152152153152150151151150148147148145140136133132132130131135137136136135133126120119115115108112104111107110115119119121118120114105105104107110109110108 99 88 80 85 76 72 77 81 78 92 94 97 98 99 96 93 91 88 96 92103108109110112114115113114113106113117117115112116118118120116117117118117115115114116117117118119120119120120122124125126126125124125125125124124127126127126127128129126125125125126125126127127127127125125129129128128128127126128129128128131132136136137137139138136136132130130128126126125124124123123121123120122121122123122123122121122123123123123125125124127128125127127127125123123123123122121124122118121119117120118119119116118116118118118119120120120121122122122121121122122121121119121121123124122123123124121119121121122121120124123117117115114119119118119118117117120116118117116117119117118115116114115115114114114113113113112113113110110108108108108108106107107107107108109111111111110109110111111111112110108107107107108108108112112110105107105106103103102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167170169173173172172172173174175174175176174174173173174176176176176180183184184182173999999999999999999999165164163161164164161160160158158158157157156155155155155155155155153148145143141141142142145144149152154156157156156155155154154153153154153153151151150150151150149148145139133128129130131134140134137135132124117115118116114108104107107109112115117118120116117111103102 98100 99 99100104 93 86 80 80 78 81 83 83 85 94 96 99 99100103100 98 93 94103109111112114114116116115115114114116119119117112112118119119118121120118118117117116116118119119120119120120122124124126126126126126126125124124124125126127128128129129128126126124125126126127127128127125125128128128128128128127125127126127129132139135137139140141138137136137134132130128126126124124124122122123123122123123121121121121124124124124124126126127128130131130130131128124124122124122124124120118118119120122118117117119119120119119118120120123122123122121122124119121120125120121122124122124123122123123123122122123122120120122119121121117118119119119121118119117119120120120119121117120118116116114113113114115115114114113113114113112110110110109110110109109109108109111110116110111111109110110110109110110109109109110110109108107108107108106106107104105104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167170173172172172170171173173174173174175175174174173172170172174175177181184185182181999999999999999999999999163162162163162162161160159160160158158157156156156156156155156155153147143141142144145145147151153155155155155155156156156155152153153152152150149149149151149149149147144134130131132133135138139139134125122121117117116116116117118111115114118119118119119116113103102100107 98 99 90 88 86 83 76 77 79 83 84 88 94 93100100103102107110110108107110112114116115117118117116115117114117120119117117117119121119117117121119119118119118117118119119119118118120121123125126125127126126126125124124124125126127129129130130129127126126125126126127127127127124125125129128128128128126125127126127130133136137141141144142142140141140139138136131130128125124124123124124124123123123125122123124125125123124125126125128129131132129130131131127124123124122121118118117117119117117121118119119120120119119120120121124122121122121123122122120123122120121120119119121122122123123120121121122123121120122123122122121122123121119119119119119119119119120119118119118117118117116114113114115115115114114114114113112110110110109110110111109110110111112109112114112112111110110110110110109108109110110110110110109107107106107106105106107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168168170172171173173172169170173173173175179181181179176175174174175176176177182185185183999999999999999999999999999166162164165163164163163162162161161159159158157157157157157156154150146143143144143145148153155157157157156156156156156155155155154154154151149149149150148148148148145138134135136133135137139137128123123121118117117118116117117117118118119120118118117115114103101109107101 92 87 84 88999 77 80 81 90 92 93 95 99 99104106109109109112110115115117117118118117117118118117116118119119114115119120120120120115119121120119118118120118119119119119119119120121122122127123125126126125125123124125125125128129129130130129128127126127127127127127128125129127129129129127127128128127128127128132136139140142144145142142142142140140140139137136132130128125125126125125125124124125124123124126126124125124125126129130132132132132130129127125124124123121120118117118118117117120119120122119120118119119120120121122124124122122122119123123122119122120121121120121123123121121120119120121121120119121121122123124123122122122120120119120120122120120119120119121119117116114114113115115115115115114113113112112111111109111110110110110110112111110109112112112111111111110110110111110110110110110110109109109107110108107106107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168169169170170170172172171172171174174174178180181182181179179179177177175175176182185184184999999999999999999999999999999163164164162163163164162162162161161159160159159158159158157155151147144144145145149154155156157157157156156156157156155155154153153153152151149150149149149149148146141135135139140140142141137127121117121120120119120120114116118119118119118117116116113114111106105105 96 95 97 87 94 90 84 85 90 95 98100 99 99101104104106106110113115116117117119119119120119119120119120120120120116117121120122121121117119120120120120118118119120119120120120119120121122123125124124125125125125125124125125127128129130131130131129128127128128128128128127128128127128129129127128128128128129130130133137141144145145147145144141143142143142141139137136132130129127127127126126124124125125123122125125125126126126130130131132132133133131126124122124124123124120117118118117118118120120121121119121121119120121121121124123124122123122121121122121121122120118120121121121122123122122122121121121121122121122122123122123122123124124123121121121122120120119120119120118116116116114113113116113112114114112112113112112112111111109109109109109110109110110112113112113112111111110111112112110109109109109109109109109110109109108108108107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167169171169169170170172172173173175176177177179180181182181180181180179177175176178182183182182182999999999999999999999999999999161163164163164164161160163162161161162160160159159157156154151149147146147150153155155156156157156156156156156156154155153153155153154152150148148148147149149147144136135138141140140141135131122118121119120119122120119119118117118117115115115112108110111112109105103103 99 93 90 85 91 94 95 99105103105102103104108109112112112113115118119120120120120120120121121120118121121119120121121123121121121120119121122122121120120120119119120120121121122122122123124124124125124125125125126127128130130130129130130130128127128131129129127129130129130127128129128128128129129130131133136139142146150150150151146142142143141142139145140139136132132129128129127128127127125127126124125126126127127128129129131132134133132128127124123122123123123121119120120119117119120121120120121122124122124124122122124122121122121124122121122122118120120119119119121120118120119117119120121121121122123120121120120123123125124123125125123123124122120120119121118118117118117115115117115115112114112112112113113112113112110109109108108108109109111110110112113114112112111111112112111109109109109108109108109109109108108107106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164166168169169168168170170171172173174175175177178179178179180180180181180180179178179182182182182181174999999999999999999999999999999158160162163163163163162163162162163163158157157155155155154152150149150153154155154155155156155156156156155156156156156154153152151148146143143143142143143145144146139136136139141138133129132130127126122121122120117118118117115114114113111110110104104109109111109107105999 86 90 87 99101104104104105106105106107109113113112112113115118119119119119120121120120119121121120120122122123122122122121116121121121121121121121121120120119119119120121121122122122123124123123124124125125127127129131131131132131131131131130129130130129129130130131130129127128128130129130131132134137141140149145147144144146146141139143142142144142141140139138137134133133130130130129128128129127126126127127129132132133134134132131130127127125123121122122122120120119119121119119120122121119121122123122123127124124122124122123123124123122121123120120119120120121121120120121119118117117119120120121120120121122123122123125128124125125125122122124123120120119119118119118118116117115117115113114112112112112113113112111110110110109108109109109109109110110110113112112113111110111111110109109109109108108107107107107108105105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164165166168168169167168169170172173175176175175176176177178178178179179179180180181182182183183183182179999999999999999999999999999999999158158158161161162164162162163163163162161159158157157155155152150151152153153154154154154155156156155156156156156155153151149147144143141140139138138139139141143144144139140140138133130128130131129127126122121127117116115115115112106107104106106102105102104106105105999 83 88 88 97101103104107105105106107108107110112113113113114115118119120119119120120120120119118120120122123122123122122122121122122121121120121122122122123122122121121121122122121122122122124124123124124126126126128131134133133132133132132131130132131131131131132131131132131131132132133132133135137140142146144145144144142141143142144141146143143146144143142141142140140138136133133132132129129129129129127129131131134134133133132130130129129130127126124123122120121121120119120121120122122122122123124124124123125124125125126124122121122122121123123121123123121121120121121122121120121116118117117119119119122122122123124119120122122125124122123122123124124123123120120119119118117117117116116115115114114114115114112110109110110109109110110110113110109109111111111114112113112112111109108109109109108107107109108108108107106105105106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166167167168170168167169171174175177177176177178179179178177177178178178179181182184184184184182181179176999999999999999999999999999999999999154156158160161163162162162162161161159159159158158157155153152152153152154154154155155155155156156156156156155153150148145142138137134133131132134135136139139141144141141139134131130131133136136135129125122121115120117118115116107106100102106100101 93 96100 99 84 84 85 88 96 99103104105106104107107109110109110111113111113114116119121121121121120120121122121121121122121122122122123123121122122123123123122121123123123124124124123123123122123123122122124125125125125125125125127129131135134134133133132132132132132133132131132132133133134133135134135136138138141142146147150148145142140139138140141139140140142146147146142143144145144142139138137138135135133132131132130132131133134134134134132130130130130130129129126124123122123121121121121121120120124123122123122124124123125124125125124126125125119121121122122123123123123125121122121123122123121121122119118117117116118119122121121122118122122124122122123123122122122119119123122121122120118117117117117117116113116115114115113111109110110110111110110109112112110109108109109110111111113113112111110107107108109109108108107106107106106105105106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167166169169170170171170172173174176177177178179182181181180179179178179181184186187187187186182181175174999999999999999999999999999999999999999151999999155158162161160160161160159155156156156157158156156154152152153153154154154155153154156155155155156154151148145143140138133128127125126128132134135137141142141141137133134135137138138137137134133131127121118119114113112104 98 99 98 97 90 89 86 87 88 92 89 84 88 93101104105107108109110110110111111112113114114113113114116117121122123121121122122122122123122121121122122121123122122123123122121124123123124123123124124123123124125124125125125125125126126125126127128127128130132135134133133132131131131131132132133133133133134136137137138138141143139142145150152151148145142140136135134137138138138140143145143143144143142143142145142140137137137136137137137136135134134135135135135133132131131127127129129129127126123122123120122121121120121123121123124122123124125124126122125124124126125125123122122122123121121122122123123124122120121121120121122121120120119119118117118120120120119120121121120122122123122120122122122121121120120120119118118116116116113113114114114113111110110110111110112111110109110110110109109112110110110113115112111112110110109110109110107106106105106105105105106106107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167168170171171171172172174174174174175175176177179181182182181180182184186188189190191190187185183178178999999999999999999168168167999999999999999999999153157160160158158158158160159159161160158158158159160159156155154154154155155155155156155155156157153149147145142140136129129125124125124128133134137140142142140136134136137137139138137137135138131128125123116114111103104 97 96 92 93 86 85 85 85 84 85 92 89 97102104108110112112112114115115116116116116117116113116116114115118122122122124122122122123124124123122122122124124123123124124123122123124124124125125126125124125125125125126126126128127127126126127128127128129130133136135133132133131132131131132134133134134136136137140141142144146146148151151153153150147145137135137135135136136138139140143144144143144142141140141140139138138137137137138138138138137136136135136135134134133131130130130130129129126125124123122121121122123122123124122123124124123125125125126123125124122123124123122123122122121120121121121123122122122122121119119120120122120119120117121119119121119120120120119118118120121122124121121120121121121122122121120118118116115112111111111110113112110110111112110110112111110109111113113114113114113114114114114113113112111110110109109109108107107104104106105106106106107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165167170171171172173173173174174175174174175175174176180181184184186187189190191193194194191191189186181999999999999999999169167167167166164163162164999999154157160160158158159157157158157158158157158158159160160159159158156154154155155155155156156157156151148146143143141138135129125125125127131135136136140142141140136134137140140140139138136135134133130127119111110105 98 98 98 98 96 93 90 88 87 84 86 88 94 98104107107110111114115114118120119119121122122120118118118116115117119125123123123123124125127127126126125125124124124124124124124125124123124124125126126128126126126126127126127127127128127127128128127127128129130131132134135134135133134133132133134133134136136138139140143145149150150148147148147149148142146142136136136135135137138138139141142144143142143141140139138138138137139139140140140140139138138138138135135135134133132129129129131131132129126126123124123122120125125125123124124124124124125124125123126127123124123123121121122123123123123120121123122121122122120121121121120119119121119119119118117119119119118118118119117119121119119122121121123122121121121121121121116115118113112112111111113113113110109110110112112113112112111111112112113115115114114115114114114113113113111111109108107107108108107105105105105104105106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166166168170170173174174172174174174174173174176176178179180182183184186187189192194194194194194194191190185999999999999999999168167166167166166164164164999999999156157159157156156155155156156156156158158159159159159159159159158158158158157157157157158156155151148146143143141138135134132132132133133134136138141142142139137136137138139139139138136136136134132127112107104 96 94 90 90 90 96 94 94 92 90 88 92 97 98103104108109111113114115117118122124126127127126125120120120117118117119122123128125127129128128129129128128128127126124124124124125126124123125127126127129129129128127128128128128128128128127128128128128130130130130131132134134134135134134133134134135136137138139140141145148149150149149149149148146145144143144143140137138137137138139138139140141141141142141141140138137139140141141141141141139139139139139140140138137136135134132130130130131130129128127126125125124124124125124125125126125125125124124125124123125126125124124123121121122122123123122122124123123121122119120121122121121119119118121120119119118119122118118115118118118118119123121120120122124124121122123120122123121122117117115113113113113111109109108109111111113114114114113113112115117117117117116116115115115115116115113112110109108107108107107107107106105106104107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167165167168170171173173173173173172173174175178181181183184186186186186187190192194194194192192194194194192187183999999999999170169168164165166165165165165164999999153157158157156156156156157158157158159159158160159160158157158158157158157159157157158158159154150149146144143143141137137136136135136136136138141142142141140139137138138139139138137136136136130127120108105101 94 96 96 95 93 99 96 94 95 92 93101102107106107110111112113114118118121122123125128128127128127123122120121122124126129133130130129129129129130130130131129127126126125127127127126126128128129128129131131129128129129129129129129129129130130130130131131131132133133133133134134134135135136136137137139139140143146150149148151148150150151147145144144143144142140140139138137139139139140140139140140139141140139139140141143143142140140139138139139139139140140138137135134133133130131130129129129129127125126126124124124124125125124124124125125125124125125127127126127126125123124122121122124124123122122124122122121122120121122121120120119118120120119119120120119113116118119119119121119119120120120122124124123123123122120123122121119118116114113112111109108108109110112114113114115114114113115116117117118120119118117117118118116117114113112111110109109109108108108107106106106107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169168170169170173170173173172172172173177181182184184185186187187188189190192193195195193192191192194195195190185999999999999170168166163162162162161163165166999150153156158157156156157158159159158158159159159159158158157157158158159158158156159160160160159155151150148145144144140139139137136135138138139140139141141141141140140139140139138138137136134135130122116109101 93 92101 97 96 93 96 94 93 93 90 95103101102105109113114114117118119119120121122123127127126126128127123122123126127129133133130129129131129130131131132130130128127126127127127127127126127129130130130132132131130129129130131131131130132132133133133133134134135135136136137137137138138138138138140139140139141145149150151150148147150148148146146144142143144140140139140139138139140140140139137137139140139139139140141143142142140140139137137137137138139140137137138135134132131132132130130128127127128126126126126124124123123124125126125126127128128128128129129127127127126125125125123123124125124123121122123123122122121121120122120119120120119119120119118119118115116120122120120119118120120120120123122123122122122120122121121120118116116114113111110109107110112111112114114114115114115115115116117118120120121119118118117118117116114112111112111110109110110110108108107107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167170171171171173171172174175173174173177180183185185186187185188188189190191191192194196194192192192194194194190183999999999999170168165163162161159159161163164153153153156158157156157158158159159158158158158158158159158158158159158158158158158157157157157157156151151151149147146145143140140140140140140140141141141142142141141141141140139138137137133131130128124999999999 96 97101 99 98 98 95 90 93 98100 99105100107113115116117118118119119120120121121122126124125126126128126123125126127129132132131131130130131131130131132130130127128128128128128128128128129130130130131133133132130130130130131133134135136136136135136137137139139140140140142143142141140140140141142143141143145146148150152152150149148146147146145144144142140139139139140139139140140139139140139139139140139139139140141142143142139139138136136136138138139138138138137136134132132132132131130129128127127125125125125125125126127126127127128130127128129129128129129128128126127126125125124122123124124123123122122123122123123122121121121120121121120119119119119119121119120119120120121119121121119120121120123122122123122121120120120121118116116117115112109112109111112112113114114116116116116117118117117117120121121117117117117117117116115114113114113113112110111111109109107107107108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171170173172171171173173175177177177176176177179183185186186186187186188189191191192192194197197193192192193194194190183999999999168168167165163161159158158161164164155156157157158157157159159160159159159158158156156157157158156157159159159159157158158157157157156156152153156157155151147144143143144144143142141140141140142141142140140141141139138137134132127126999999999102101 94 98 96 98 97 99 97 95 99103102109110110111114117116117117117118120119120121123123124124124126127128128127126127127127129130131131130131133133132132132131129127127128129128127127129131131132132132132134133132131132132133135135137138140140139140138140141141141141142144145145146145143143143144146146146146148146146148151153153153152150147147147145143142140140139139140141140140140140139139139139137139141140140140141142141141140139138137137137139139138137138136135134133133132132132131130129128127127126126126125126127128129128129128128129130129128128129128128127129130129127125124122123123124124123124121122122122123124122120121122121121122122120120120120120121119120120120120119120122123123123122123123125121123124123121122122122121117118116115113112112109111113114114115114115116115116118118117117119120121119118117116117117116118117116115115115115115114114112112111110110109109108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172172172173173173173174175177177178179178177177179182184184185186188188188190192193193193195198198193193192192193193191185172999163164164164164163162160160160162162158155156157157156157158158159159159159158157155155155156156158158157160159159159159157158157157156159156154158161161160159157151146144143143144144143142142140140140139140142139138137135131125123127999999999100105 98 94 94 92 99 98 96 97100102104104103109110110109116117117121123125125130131129129129131130128129128129130129126128129129130131132131132133132132132133131131129126127128128128127127128130133134133133135135135134135134135138138138139139140141140141141141141141143145145146147148149148147146145146146148150149148147143146149153155154154153152152151149146146143142141140142141140140140139139138139138138139140140139140141141141141141139137137137138139139137136137136135133132132132132131130129128127128127126127127128129129129129130130129129129130129128130128128127126130129127131125127124122122123123123122124124124122122122122124122122122121121121121122119121120120120120121120120118120121123123122122123123122125125124125124123122123121119119117115114113112111111112115115116116115116115115117118116116120119118119118119119117117118118118117117115117117117117116115114113111111111111112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171171173173174173174175175176177177180182182180180180182184184185188189188189190192193195195196199199198195194192191193193190183173162159161162163163162161162163161159158156155156157155155157159159159159158158156155156156156155157157157158157160158158156156156156159159156158158159161161161160158154149146146147150150150148144142140140141141139132131126125120999999999999106107104 97 96100 97 98101100100106109111106108107110115116116122126130134138138139139138136135135136133134133132133133131130129130132133133135134134133133134133132130128127128129129129129127128130134135135134135135135137136135138139139139140140140141140140140141140143146146148148149151151150148148147147150150150148149144144146146151152152153153153154151150148147146147145144144145144141141140139139139139139139141140139140141141140140139137137138139139138137138137136135134134133132131132131130129128127129128128128129129129130129129129129130129128128130129129128127127127127127126129126122124123122123122123123123123122123124120122120120121122121123121120120120122121119121120121122120121119121123124125127128126128124127127126126126125124123121119118117115113113111112113115116118118117113117115118116116118121119121121120119119118118119118117118117116118120118118116116115114115115114113112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172173175173173174175176178178180180180183185184183183182183184185187189189190190191192193195195197200201200199199197196195194194192186175165160164163163163160162163160159158158157156154156158160159160159158158156156157157156156155155155158159159159159158157158157157157157157158159160158159160160160158156155155154155156157155153148147144143142134127125123112999999999108103109105105108102102103107105105109112114111114116113117123128134136138140140141139138140140139140139139137136133132134134132132133131133133133134135137132132135133132130128126127128129129129129130133135134135135134136136137139139139140140139141141141141141141142142142144144146147147148149150149149148148148150151150151147146146145150150151151151152154153152150146145146147148147148148147146144143141141140142141140140142141141142141140141139137137138138139138137138137137134134134133133132132132132130129129129129130132131131131129128129128128129128127128128128128128127127127125125124124124125124122122122123122122121124123124124122121120122121122122121121120120121121120120120120121122122121121122124125126125126125125121127130126127126126125124122119119117116115114113113114116117118119117118119117119117119121121121121121120118119119116116117118116116117120121121117117117118117116116116114114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171174175175175176177177179179181182183185186187186185183183183184186188189190189189190191192194196200205203201197198201201202202201201196193187174162159161161159163162160157158157157156156157158159160159159158158158156156156155154154156158159159159160159160158159158158159160160161160160159158157158160160159159158157158159161160158158157155149143131138123117999999104103111111109108104105107113109112111109111113116118118119120127135140141142142141141140140141142141139141141141142142141139138138136136134132133135134135135137133130134135132131129127128128129128130130132136137136136137136137137138139139140140139141141142142142142142142143144145145147146147148149150150150149149147150150150151148149146144144146147148151152155157155154149144145146147149148147146148147145144143142144143141141141142142141141141141139137137138138138137137137137136134134133133133133132132132131131131131132132132131131130129130129129127129127127127129129128126126126125125125124123123123122122122122123121120120121123123123122122122121121120122124121120121120122121122121122122123121122121122124121122122126126127126127125126127127124124124121120119117116115115114115114116118118118118119119119119120120120122122121121121121120122120118118118119118118118120120120119119119118118117116116115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173172171173175175176177178179178176180185188188189188187186185185185185186186189190189191190192195195197202206201201198199202205205204205204201197191186174159158160161160158157153154155157158157157159160160159159159158158156156156156156157158158159159159159159157158159159160160160160161160160159158158159160162163162162163162159162160166165999158156146136137121117110106104105110109109106103103110114116117119118115119117120126127132139143145146145144143142142139139137138138138139139140140141141142142141141139135135136134135136137136133134135135131129128128129129129131133135136138137137137137137138139138139139140140142143142143142142141142143144144145146146147148149150150149148147147147148149149149146144145144145145146148152156157157156153147145145147148147146145145145144146145145143142141141141141141140140141141138137137137137137136136135135134134134133133133133132132132132133133132132131132131131129128128128127128127126127127127127128127125124124124124124123122124124122122122121121121120121121123122122122122121121121120120120122123121122123121122123121121123123122124123123122124126127127126127128126125127127124123122122121119118115116116116115115117117119120120119119121122121122122121122123122122123123123121121121119118117120121121122121119119120120120118117116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168170172173174175177178178179178179179180184187189189189187187186187186186186186187191191191190193196196198202207200201202203205207205204202999199199194189182167158159159157156153154153155158158158158159161160159158159158158158158158159159159158159160160160160159159158159158158158159158159159158157157157160162163164164162163163163161162999999999999156145118110120109103103107107106106107110104105111114116116121128132130128129132138143145146148148148146144144142139139138137136136135135137137138139140142143142141141140136131133135135135133134134135130131129129130130130132134135136137138138138138138140141140140139140141143142142143143143143143143143143144145146146148149149149149149149148147147145145146143143143143145145147148150155157155156156151147146146147147147145144143143142143142142142141141141141140140140141139138136137137137136135135135134133133134133134133133133132132132132132132131131131132131130128126127126126126126126125125125125125125123123124125125124125123123123123121119120121119121121122122121122123122121120119120120121122122123122122124122122122122120121123124124122123124125126127129131128128126127125125124124122122121119118117116116116117119119119120117121121122123121122121122122122123124123122122122123122119119120123123124123122123121121123120119118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173172171173174175177178179181182181180179181182184186188189188188189190190188188187188191192192192195196197198202208999204206208207206203999999999999999194191187178166159159158160157153154156158159158158159160159159159159160159159159160161161160160158159159160160161160159159159158158158158158158158157156158162165164165164999161160160161162999999999153150129118116113109108106107109109106104102104106110115116120126136143144140139143145147148149151150148145144143143140138135135134132132133134136137139139140141142142142142139136136135137130137130130131133133132132132132133135135135139139139139140139140140142142141142141142142143143143143143142143144144145144144145146146147147149148150149145146145145143143143143142143144145150150154157157159158157155149148145145145146145145143143143143142141140141140139140139139139140139138136136137137136136135135134134133133133134133134134134134134133132131131131131131131129128127126126126125124125125124123124123124124125125126126124125124124123122123120121120120121121120122121120122122122121120120120121121124124124122123124123124121121121121124124124122123124126129126130132135129128125125126124123123121120119119117117117118120120120122123123123120124122123123123123123124124124123124123123122122123119120123123123122121123123123119121120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171170172173173174177177177178179183185188187185185185185186188189189191193194193192190190189190192194195196198199199202208212209999207208206999999999999999999999192193187175163162161162160157155155156157158157158158158158159160160157159160160160160162160160160159159158160161159159159159159159158159160161160160162163162164161163999999999999999999152153153150133122117115113112110110109112109107107105106112116120125127139142145145144145146148150150151153153151146144143142141138134132130129128129132133138139139141142142144146148144139134138139140140140137136133134133134135135136136137139139139140140140140140140142142142141141141142143142142142143143144144144145146145145146146148148148147147146145145144144144143143144143143144145148152155158160159157156156153152147145144145145144144145143143142142141141140140139138138139139139138136136137137136135135135134134134134135135134135135135135135134133132132132132130130129128128126125125125124124123123123123123122123123124125124126125123124123122122120121123121121121120121122120123121122122122121121121123124124123124124125124124123121121120122123124123124123126127128130130131132132128127127125124124123122120119120119119119120122122123122124122122123125125124123122123125125124124125124124123124122122123123124124123124123124124124125122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171171171172173173175175176176175176181182183185188189190190189191193193196199199198197195195196197198198199199201200199208212213212999209208207999999999999999999999999191190187168162159160159158157155154156157158158159158157162162162159160160159158158158159159159157152152156159160159159160159160160161158163165165166164164162999999999999999142142144147148144135128123114108110113116114114112104109111111114119122129136141142146147146147148149150151151152154156153148144146145143142137135131129127128129134135135137138139140142143147140137135134135134136137136136137138138137139137138138140140140141141141142143143142141141141141141141141141139142142142143143143144145146146147146146146147147146146145144145144144144143143143143144145147151153157159159157157156156153152149148147144144145145144142142141140141141140139140138138138138139138137135137137136135135135135134133133133134135135136135135134134133133133132132130128128128127126126124124125125123123123123122123123122122123123125124125124124124123122121123121121120121120122122123121123125123124123123124123124124123124125124122121122123123124123123123123123125127129130131134130131130130130131126125127125124123121121121121122123122123122124123124124124124124124125125125124124124125125125124122122121123124124124123124125127125126126125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172171171172174174175176176175175175175177180181182186192193194194195195197199201202203203203203204204204202200200199200204212214214214213211209208204999999999999999999999999189190187173159160160159159159157157158158158159159157159158159160160159158158157157158158157154150152155157159160159159160160162160160163166168167164999999999999999999141143144142140131128128124118114113113115119120121117113111115116122130134138139142144142146142145147150151152153154156157156150146145145141140138138133132130130132135136134137138140140141143143140138136136135136137137139138138138139140140139139138140142141141141142143143143143142142141141142142143143144144144144144144145144145147148149149147146147145145146144145144144144144143143144145146147149154154156159159158157156153149149148147147146145144144142141141141140139139140140140139138138138138138137136136137136135135135135134135135135135136136136135135134134134133133132130129129130129128128127126125124124124123124123122125124123124124125124125125124122121121121123122123121120120119118121123124124124124124124125124123124123124124123122122121121122123122122123122122123123126127127131133133130137134135133131129129128129127125128125125125125125126124126125125125124126126126125127127125125125124126127124126122124124124127126126124124126126125127123 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171172173172174174175176175176178179179179179178181182185191193194195195196198199201202204206207206206206204203202200199203212215215215214213211210207208999999999999999999999999999188187182170161162161161161160158158157158156157157159160157159159158156157158157156157156153151150154156156157159159160162165162162163167166165165999999135999141142141137133129124127131128129131127126124121123124128120120119121127135135135137136138137139140143144147145149151151154154155156152148144142141140140136134134134134134135136137137138138139142142140138136135135136137138140141142141142142142141140141142143144144143142142143142142143144143142142143142143144146143143144145146147148150150151152151151149149148147148146145145144145145144145145147148150151152156159160160159157154150150148148147147146144143142141141140140140139139140140140139138138138138138137135135136136135135135136136136136136136136137137136135135134134134133132131130129130128128128128127126125124124124124124123123123123124125125125125124124123123123122122122121121121121121120120123124126125125125125125124124124123123123124124123123122123122122122121121121122124125126127128133134135136134133132131131131131132130130131126128128128127126129128127126126127128128127128128127126125125127127125126124123124125128127130129128130129127128126125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170172174174173174175176175174175180182181180179181184184188192193194196195195195197201201202206207205205206204203201200201210215216214214214214212211208211206999999999999999999999999999186184182176168164163164163157156157157155155156159160158159160157155156159156155155158154152154154157158159162164165164162162161162161162999999999137139143143140135131123126128129134132133136137136131129127122119127125122130133135136136135135135135137139142140142145143146150151152153158152148145144143143140140140137135135135136137138138138141141142142139135135138137137138140141142143141140141142143145144145146147148148145144143143143144145143143143143144146146146145146146148149150151152151154154152152152152151150151149147147147149150148149148150151152153156160162161160159157151150149148149149148146145144142141138139140140140140140140140139139138138139139138136135136136136135135136136136136136137137137136136135135135134134133133132130130130129128129128127126127127125125123123123125125124124125125127125126124123123123121123121119120120123122119121123122124125125124124124125123122122123123124123123122122123122122123121121120121123126126126130133134136136135133131131133133134134133132132132130131131130132131130129130128128130130130131129128129128127125126126127127127127128129131128129130128128130131130129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170170173175174174174175174172174175178181184185183184186188190194193194194195195196197199199201204206206206205205205205206212216216216215215215215213210209210209999999999999999999999999999999185185185179171166164162159158158158155155157160159159161162161157157157158154153154154155159161162164164165166167167165164163162158999999999138139143144142139134129124123126131137139137140139143143133131127123124124126134135137137139139140141142142141142140140140144147148150153152156156150147144143143140139139138137137137136137137139139142142141141138135135135137139141141142143144142141140137137144146146146147150149147145145144142142144145146147147147148148148148150149151152152153153155155155154154154153152152153151153152152152151153153151154156156157161163164162161159157152151149149150149148146144144142140140140139140140140140139139139139139139140140139137135136136136135135136136136136137136138137136136136135135134135134133133131130130128129130129129128127125125124123124125126126126125125125126127126125124123122123121121122123122125124122122121121124125124124123124124123123123123122122123122122122122121121121121120120124125127127128131131134136136136136135135135135134134135133135135132133133133133135136134133132132129130130128129129128128125128127127127127126129129129127132128129129130129133131131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172172174176176176175173174173176177178177178182186188187186189191192193195196196197198199200201202206206207206205209211214215216216217217215216215215213210209210211999999999999999999999999999999999187189189184174169164163161160159155156159160159160160160162162159158160160160165166169170171173173173172171172171168166166160999999138138142146147148145138133130126126131135139141140136137140147145137133135129124129132137139140141141141141142145145145143140143141145145146149150155158151147145145142140139139139139139138138138141141142144144143138139134136137139140141142142144144145142144145145148149150150148149149147148148147144142146147148149150150152153152151152152155155153154154156156156159158158157157157158156155155156155155156158157158161162161161164163162160157152152150149149150150147146145146144142141140140139140140139139140139140140140140140139137136136136136136136136136136137137138137136135135136136136135135134134133131130130129130130130129128127127126126124125125126125127128129128127127127126125124124123123123124123123122124123123124125125125125124124125125124124124123123123122124124124125123122120123122124123126128130131131134136137137138140138138139138138137137136136134134133135135135135136138135136132131131130131131130129128127130130130128129128129131131130132132131131131132133133131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169173175176176176175175173176180183184184182183186188189187188190192193196199200200200202203205206207208209208207208210214216217219217217218216216215216214212212211210999999999999999999999999999999999999188189189186183173166164163162160159159160160160160162164164165165164167173177179179179179178178178178177173173170166158999999140138143146148150151151146136132130131134138142143142139141144149148141138135130129132137140141142143142142142144146147148147144144141141143146149151154156158150146145144143141140140141141141140140142142144145143143140138137139138142142143144143144144144143146150154152155153154154152151151148149147148147145148149149151153153155154154153153156157155155154155159160162164163166168164165165161160161165164160161159160163164163163162162162160158154152151150149150151149147146146145143142141140140140140140140140140140140141140140139137136136136136136136136136136137137137137138137137136136136135134135134133132131130130130130130129128127126126125125125126126126126128128128129128128128124125124125126125126125125123124124124125126127126125126125126125126126126124125123125126124124125123123123124123124124126128130131132133136138138140140139140139139137138138137135136135136139140136137138136139138134136132131130132131130132130131129129128128129130130131131133135134131133132131131132 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173171174176176176175174176176180183183184184184185189190188187190190193197202205206207206208210210209210210209208208208211215219220220218218218218217217216215213213211211999999999999999999999999999999999999999999190189187183177170167164163161162162161160162164167167170172175179181180180180182181179999999178178174172168160999142141141144146149151153153152149137132132133136139143144144145144146147146143144142139140137136139142144145145145146145146147149149148149148144145146146151152153155149147146145146145144143142142144144144144144144144142139135140139138142141143141143143143144143147145148150161162157158156154152156152149146146147147146149152154155156156157157155155160159157158162164168166167167167169171167166167165163163164163167167165165163166164163163162160158157156153151150149150151150149147147146143144144143142142141141141141141141141141141140140138137137136137136136136137137137138139139138138137136136136136135135134133133131131131130130130129129128127126126127126127128128128129131131130131131127128126125124124125125125126126126126125126129129129130128127127126127126125126126126124124124125125124125125129128128128128131132134133134137139143141140141141142142139138138138137136137138139139139137137137139139137135135135137135134134134132131131131129130129130130132131133134133133134132134132133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175176175174176176174174175178179181181182185186186185190190190189190191194201207210207209210211210209207207208208208208208208213218221221220219220219218217216214214213214999999999999999999999999999999999999999999999999999187186186182176172168167166165164163165166167171173180189183179179180180182181999999999999999170172167156146148150151151151151152155151151147138140137137138140145149151152153153152152149143143147142135136139141143146146145146146146147150150149149151149148149147150152152154159148146147145145144144144144144145144145145143142141139137138138140141143143144144144142146146145154156157165166166164162158156157154151147148147147147150151154156156157156157156156158162163164167171173171172170171171171170170167167166166166165166167166164164166165164162161160158157155152150150150151151151150150150148146146145144144144143143142142142141141141141140140139138138138137137137136137137138139139139139139138136137136137135135134133132131130130130130131129128128128128128128127128128128130131131132131130130130130129127126127127127127128128129129129128130132130129128126127126128128128127126125127127126126126126126127129130130131132132131133134135137141141141142141143143144142141139139140140140140141139138138137137135135134136137137136135135135135135134133130131131130130130131131132132133132132134135135134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175175176176176177175173173174175176176177180184187186187190189189189190190194202208209210206210211211211209206206207207208208208209217220220221220220219219218218215215215212999999999999999999999999999999999999999999999999999999999184184187184182178177174170168168169171175183188177999179180181182183999999999999167170171168165153150152153155152154153155151148153147142145145145148152155156156154155153152152147147145142140138138141141144146148150151151151150151150150150152150150150149151155153159165157151148147144145145145144144144144143142142142143143141142142144142142144145147147147149151151151152157160167167165165163161161154152149155155151149151150156156157155155157158159164168172172168171173173172171170171170170171170169168167167167167166166165165162162162162162160159155153151151150150151152150150149149149148148147148147146145144144143142142142142141141140140139139138138137137137137137138139139139139139139138138138137136135135133132132131130130130130129127128128128129128126127128129130131133133133132133134134134131132131129129129129130131131131131131133131132132131130128129131131129130131129128127127127127128128129131133132133132133134135136138140142141140142143142142141140140140140140139139139138137137139140137136134135136135133133136133133135136134133132133132131131132133132131133133133133135136135 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177174176175175175177176174172173175177180179180181186190189189190190190191192192195201206207209210209210211212211209207207207207208208209216219220221221221221220219218216215215212999999999999999999999999999999999999999999999999999999999999999187187188188189189184182181181181182187999999179181184184185999999175175172169168170167164157150150152151152155154153148149147146145149152154157157155153154151149152154151143146143138143145144146148150152158154154154155154155154154153153150149149151150154153156166161155151148146143143143143143144144143144143143144144143145145147149149150155156157156155156158155157157164167166163161162156154156155150150150150155153153155156156156157160164168173174175174173174174172172170169171168169169168168167166165166165165165164163163161161160160159157154153152151150151151152151151150150150149148149148148148146146145144144143143142142141141140140139139138139138138139139138139139139139140139138138137137136135134134133132132130130130129129128128129130131128127127127130131132132134134134134136137137135134135134134134134135136134135134134134135134134134132131131132132132133132131131130130129129129130130130131133132134135135135136138141143145142142143144142141140141139140139138138139138137139139140142136135136136135137136137134136135136135133134134134133132131132132132131131132132133135134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176174174174172174174177175174174175175179184185183184187194195193193194195195196196199201203205208209210209210212212211208207207207208208211217220220221222223222221220219219217215212999999999999999999999999999999999999999999999999999999999999999999999999999999187187187186185186188999999180181184186186178999178177175173174173170166164160151150151152158161153150149148151153159163161162160158154151154152150150152152147144145146148150151153158160153154153153153153152153154155156157153152151152152154154157165166160156152151150149145146146147148147146146145147148150152157164168172172173171170165172167170170169169167164166163162161152152157155155155157148157156154153154158161164169166171175176176176176176174172173168170169168166165163163160163164163162162161161161160159160159158157155155154152151150151152152151151152151149149148148148147146147146146145144144143143142141140140139140139139139139139139139138138139137137138138139138137137136135133132131133132130129129129129130130130131131128129129129130132133132134134135135136136137137135136136137138138138137137137138137135135134134133133133132132133133134134132132131131132133131131131131132133133134135135136138139142144146144142143143143142143141141141141139139140139137138138140141140139136135135135134133138137136137137136135135135135135133134132131131131135132133135136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176176175175174174174176178180181182181183185188189188188194198199198198200203203202200201203204205207208209209210212214214213212211211211212215219220221222223223223222221220219218216213999999999999999999999999999999999999999999999999999999999999999999999999999999999190189188189999999999999182183185186999999179178176175173173170165165163158153150152160165159152151153155160164164165166166166161158157152153153153152152148148150151152155158161162157153152152152151150150152152154156156155155154154154156159162166168168165160156155154153149152154155155154154152152155155158166175173173173174176177174178177178174172170171169168165160156157156153153155156155155155155160161159162168170172174176176176177175174173172171171169169167164164163162161161160159159159158158159159159156156158156154153153152151150150151152151151152152152152150150148147146146146146145144144144143143142141141139139139138139139139139138137138138139139139139138138137137137137135134133133133131131131131131131131131131131131129131131131133134133134136136136137136137138138136136138138138139140139140139139139138137136135134134134133133134133134134134134133133133133132132132132133135135135134135136137140141143143145144144144144144143144142142142143143143141140139139140140142142140138136135136137136136135136136136136136138136136134134134134132134133135135135136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177176176176175175176179188192195195191190192194192191193200201202202203207208208208207204205205206207208209210211212214215216216216216217219220221221222223224224223223221221220999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183182183180999182182180178176173173171161156155999999153150153165165160160161162160163164166166169171168167164160158156157156154152152152152152153155158163160156153153154154154154154153153153153154155154155156157161167168169170170170168164162160159158160162165166166166163158158163171174174172172173179181182183182179177179175173172172169161159158157159156152153156158159162163161162164169172173175177176176174175174174174171170171170170168163163162161160160159158157158157158158158158157158156156154151151151150151152152152152152153153153153151150149148147147147147145144144144144143143142142140139138138140140140139138138138138138139139139139138137136136136134132133133133131131132133132132131131131132131131132132133135135134135136136136137137138138138139138140139139140141141143143141140140139139138137136135133134133134134135135134134133134133133133133133135135135135136136138140141142144143144144145144145145143143143142145145143145143143140138139140141143141139139138137138137138135137136136136137136136137137137136135135136134137136136137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177177176178177173175180189194197199197198197196194192192197200202203204205207210210210207208208208208208210210211212213214216217219219219221221221222224224224224223222222222221221999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184182182999999184182179178176177175170160154999999148153152161169166163164164165163164166170172173172171170168166163159157156155153154154152153155158163167169162153155153153155154154155154154152154156157157158162167170170170170171171171170168166166164165165165167169172171164161168175177172171171176181182182184183183182178177179174173165161160159157159155155156156156162158166169166169171173176176178177177179178176173173172171171169168166162161161161161159159158158157156156158157156159159158156154153151151151151152153154153153153154154154154152151150149148148147147146145144144144144144142140139139140140140140139139138138139139139139139138138136136136136135133132133132132133132133133133133132133133133133134134134135135135136136137136137138139139139140140141141141142143143143144142141142143143142142139138135136134134135136136135135136136135134135135135136137138139139139141141142142143144146145146146146147146146146146146145146146144144143142141140141143143142141143142142143142140140140139138138137136138137137138137137136137138137138137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173175174174175176175176179185193196197199197199198195192191194196198201204205207209212213210208208208209209209210210211215218222222223223222224224225225225225224224223223222222222219217999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181179180180179180175174173173170164158154151151148153158169171167165167168168169171172174175173173173173171170168165162161159158157156154156162166172173171169160154152152152151152153153154155155158158157167171172171168167168170171171170170171170170170170170163166170173171166170175174172169171178186185184184181180180179176176175175170166164162161159159158158159165167164173173170172174176179177178180180179180178177174172172169169167163161161162162161160160158159159156157158158158159160159159155153153152152152153154154155154154154154154154152154153152150149149148146146145145145145144142141140140140141141141141139138138138139139139138138137136137136136135135133134133133134134134133133134134134135135135135135136135137137137137137138138138138140140141141143144144145146146146146146145144144144143143140139137137135135134136136138137137137137136137136137138137140141142141141142142143143144145145144145146147147148147148146147147146146145145144143143143143145146145146146147145145145145145143143143142139139138139138138139137140139139139137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176175175174176177179179188191193195195200201201200197195195194198200201203206209212214214210208209209209210211211212217222225225225225227227226227226227226226224224223222222223221218216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179177179180178170169164168161159158153153153158167171172171171170170173173175176175176177175175175174173171170168167165163162162162162164162168172176178174169159154154152152152155157160157162163164165168170168167168169172177177177177176175175174174175174175176174175174172170174175174176177181184184184183182179181180179174180178175171166162161161163162163165167167169172173172175177178178178177179179179180178176175172171169166164163164163163162162162161161160158158158159159160160161162161159155153153154154154155156156155154154154154154154155155153152152150149148147147146145144144143142140141141141141141141140139139139138138138138138137137136136136135136136135134134134134134134134135135135135137137137136137136137138138139139140141141141142142144144145146148148148148149149148148148146145143142141141139138136136136136138138138137137137137138138137138138140141142142142142143143143143145146145146145145144147148146148148147146147147146145145145146148148146146146146146146146146145143145144144144142140140141140141141138139141139138138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175175176175176178179179186188190188189192195201202200199200200201204207207208212213214214212210209209210210212213215219223226226226226227228227227227228228227225224223222221220221219217215999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183184184182177171166162158156159156156158166173174171170171173172174176177178179178179178179178177177175172172170170169171168169167166170172173173171173178172170158155155155159162165164166169168168168170171171174178180182185186185187187187186182180180178177177178177175167169174175178180180185185182181183182182180181183179178178177174170165169165166167169170171174173173178178177180178177178179178179179179178177176172171169166165164163164163163162162162162162160160160160159161160161161161158156155155155156156157157157157156155155155155155155154154153153153152150149149147147146145144143143142142143142142140141139139139139139138138138137137136136136137136137135135135135135134135135137137137137137138138138138138138139140141141141142142144144146147148149149150150150150150150149148151149147144145141141141141139137138137139138138139138138138138139139140140140141141141142143143144144143145146146146146145145146149150149148149148149147146146146147148148146148148147147147146147146146147146146146145145145143143142142139140141141139138137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178177176176177176175177181180184189187186186188189193198202203205204202206208211213214215217217215213211212213213214215218222224227227227227227229227226226227229229227999999221220219218216215214214999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183185189999168166157157156157158161165173176175175174173174176178179178178178178178179179180180180180179178178174173171171171171171170170173174173176169176176178167158157158160162164166168168168170175175176176177182184188190186193192193192192190189187185184183181180180176176175175178182182187188185183183181181181180180178177176176173170169167168171172173172173174176178176177180179179178181180180180178178177176174171169167166164163163163163163162162163163162160160160160160160159160160158159157157157157158159159160158157156155156155157156155154154155155152152151150150149150149147147145145143142143143142142141140140140140139139139138138137137136136137137136136136137136136136136137138138138139139139138139138141140141140142142143143144145147149150150151152152152152151152151149152151150148148147143142142142140140140139139139140139139139139139140140140141141142142143144144145145145144145145147147146146145147148149150150152152149148148150150149149149148148148147147147148148148150148147147146146144145144143142141140140141141140139138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999209215999999999999999999999999999999999999999999999999999999999999999999999999999999999182180179178178178178179180183184187189190189189189190195196200207206209210211212215217217216217216214215216218219221223224226227228228228228228228229228227227230230230227999999999999219219216214212210999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167166161159160162164168174177177177177176177176178179179179179179180180180181180181181181181181181181180176174171171170172172173173174176179181180177182173169161160162164167165169169170171170172174178179183186195198190197198197195194185187192192190187186187182183183187183181184185186189187188185183181181181179178178175174174174173175173174174175175176179180179179179179179179179178180179179179178178176176173170168167166164164163163162162160160162163162162160160161161160160159159159158158158158159159160160159158156157157157157157156156154155155155155154153152152152151151150149147146145144144143142142141141140141141140140139138138137137137137137137138138138138137137138138139139139138139140141141140142142143141142143145145146149151152152153154155155154153152152152152151151149150147146145143141142141141141142141142143143140140141141141141142141142142142143143144144146146144145146147147147147148148149147148149150152150149150151151152152152151150149148147148149149152152149149148147146145145145145145144142143143142141139139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214216999999219219999999999999999999999999999999999999999999999999999999999999999999182181180179180180180181183185186186186188191197198196194196202205208211213213214216217218218218217218216216216219221224225227227226228229229228228230230230230229229230229228226999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166165164162163164165165169173176178178178178178177180178181180180181182181184184183183183183183182181181180179177178174172171171171173174178179179183182181180179178170166160160165167169170171171170171172171177181187194199198202201200198198199193191194192192191190190187189191188189190190191185187187191189186182180179178176176175176178176173174174177177178180179181179179179179179179178180178180180179178178176174174174171167167166167166164163163161162160162163163162162160162161160159159160160161158159159160162161160159158158157157158158157157157156157158158156156155155156155155154154153152149148148146145144143141141141141141141141140139138138138138138138138139140140140139139139140140140139140140141142143142143143144144144146148149151152154154155156157157155155155155153152152152151150149148146144143141141142142144143143143143144143142143143142142142142143143143144144145146147146146146147147148147147148148149148147147148150150150150151151151153152152151149150149150150151152152151150150147147146146146145146147145145145143142141140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217217215214216217217999999999999999999999999999999999999999999999999999999999185184184183182181180181181183186188190189190189193195200199198198198205209212210214216217218220220219220220219217217218222223225227227228228230231230231232232233232233232231230229227225223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168165163164164168171175177177178177178180179181179180178181179180181182184184186185185183183183183182182181179178177179176172173173173175180185186188188186180175173171169167162159165166165169169165166166169173178184195201206199188200202202211211207205204201198193198195192192194192192191193192183187188192191187185182180181180180179177176179178179176181181182182181181181179179179178179181181180179178178178176175174173173173168166167168170166165164162162161162161162163162162162161160159159160160161161162162161161161160159158157157158157157158157157158157158158157156156156156157156157156154154152153152150147145145143141141141141141141140140139139140140139139140140141142142141141141142143142142142142143143143145145145145146147149150152154155156157155156159155157157156155153152150150149147145147146145144143143144143143143143143145144144144144145146146144144144145145145144145146147146146147147148148147148147147148148148147147147147150150151151152153153153152153153153152152153152153153152151150149148147146146146147147146146143143142141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219218999213210212214214999999999999999999999999999999999999999999999999999999183183184182183183184184183183186188191193194193194195198201201202204207209210214213214217218219219218220221218218218219221222222224226229230230230232232232233235235234233233232228226224223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185185184999999999999177174169168166165168170174177178179180181180180179181182183181182181182182183184186187188186184183183183183183182180180178176174177176171172173175178185188187189180171164160159163164164162163168170170170169168168164169175179193203206204204205207212212208211212210208208203202203201189191196196200200198199192194194191191190187189185182181181181180178177180178179181184183184183182182178179181180179180180178177177176175174172173172171169168168167168170169168168165164163162162162163163162161160160160159160161161162162162162160160160159158157158158158157159159159159159159159160159160159159159158157156157156156156155153150147146144142142141142142141141140141141142142142141141142143143143143143144144144144144145144144144145144145146147149149151154156157159158158159158158157158157156155153151150150150148147146145144144145145146148147146146146147147147148148149148148147147147146146147146146146147148148147148148148148148148147148148149149148148148149149151152153153154154153154156155155154154154153153152152152151149148148146147147147146145142145144144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223224219214213209206210212206204999999209999999999999999999999999999999193191185185182182183183184185185186186187191194197202203205204203205204205204208211214214215217218219220219219221221217217220220221218220225228228230230231232233233235237236236236233230225223221221999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187185184183184180178178176175171168170171173178179180182182182183181181182181182183184183185183185185186188186187185185183182183183182182180178178177177172177174169171172179183191187185175165161160160157157160166164164169173172171169168170170173177187195206204204209211211208208207210207208210208210207207205202201197199200201200201202201195191190192191191190188183182182183182179179181181184184183184183182181181181182180179178177176174174175174172171172171169168167169167168168169168168165165164164163163162162162162162162161160160161162162163163160159158158159158158159159158158160161161161161160160160160160161161161161161161160159158157156156153150147145144143142143143143142141141142143143142142142143144144145145145146146146147146147147148147148148149150152153155157158158159160160161160159160160158157157156153152151152151150147148148148147148148149149149149148150150151153153155156157158156154152151149149148148147147148148148149149148148148147147148148148149148147149149150151152152152154155155156156155155155154155153152152151152152150151151149149148150148146144144144143 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221220221216211210208206206211211213210209208200196189999999999188187185188187187185186185184185187187187189191193194193195199204204207209211211211209207208212214215216218219220220221219220219219217221222222222224226228229230228230231232235236238237235233232231227225999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186186184183183183182180177176173172173176179180183184184185185179181180183183184184185183185185186186185189188188188187184182184183180179179180179178178177178179173171175176180187186180175166161162163161159161164164159162168172172167169173171169172181195190204198205211209207209206208207207205206208209214210206203201203200201202201202203203203201197196191190190189189187186181181181183184184185184182181181181181181182181179177176174172171174174174174173170171170169168169168169168168168167167166165165164163163164163163162163163162162161162163163161160159159159158158158159159159160162162162162162161161161161162163163163163163163162161160158157157155151149147145144143143144144143143143144144144143143143144145146147146147148148148149150151150151151152151153153156157157160161161161162163163161161161160158158157156155151151152150150150148149149150150150150149149151152153155157159160161162163161162162159157154152150150149149149150150149149149149150149148148149149149149149149148150152152152152153155156156156156156156155155153153152153154154152152153152150150150150149147145145145 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999205205999999999218219210212209207212209205205208205204202207203197194189186182183184186184186187188186186186186187189190189190191194197198199202204205207212216215216213211209209215217217215218219221221220220222223223224224224222222224229230229229229229232235237239239238236234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189187187186185183181180180179177175174177181183184186188188188188188187186187186186187187187187186186187188190191191190188186185185185183182182180179177177177178179176173175179183188188193185170166165164161159160162162162162162169168167168170169170169174190188206208202198206209205203207207206206206204205209210212208207207201201202201204203204204204203202190191191190190190189186184186185187188188188186184183182182182184183179179174172171172172171174171172173170170169169169170170171170167167168167166167165165164164164163163163163163164164163163162163161159159158158158157159159159160162162163163163163163162162163164165165165165165164163163163161160158156154151149147146145145147146145144144144144144145145146146147148149149150150150151151152153154155156156157158159159161160163163164164165164162161160161160159158158156156153153151150150150151151151152152152152152153153156158160160163163163165165162162162163163163158154152152150150150150150149149149150151151150149150151152151151151150152152152155154153155156157156156157156155155156156155154156154154153153153153152150149150148149148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208212212213212213211207206207207207205204204203200198199196192188187183182182184185187188188188188187188188190190190189192194197201201202206211209209211216219220219218215212213217220220218218220221220221222223224226227227224226226227226228228230230232234237238237237236999999999999999999213212213999999999999999999999216216216213213999999999999999999999999999999999999999999999999188187187188186183179178177179177176174178183186187188189189189189188188187187187187188187187187187188189190190191192192190187187185185184183182180180180178178179181180174177183187189189190192184177172170165161158159163163163163164170169166167169169169169186195198202197213214207204205203206205204206207203202210208208213209208205207204204202204205204204204200198197197191191192188188188187188186186185185185183182181182183184183180177177175174172172174171174173172172169170170170173172170168167168165165165167164166165165166165165164164164164164164164164162160159158157157158158160160160161163163162162162162162163163165165164165166165166165165163163162162160158157153150149148148148148147147146146146147147147147148148149149150151151151153153154156158160162163164164164164165164165165165165165165163163162163161161160158158157156155152152152153153153153153154154153154154155159161161162163164164162165164163164164166165164163158154152153151150150150150150151151151151152151151151151153155153153153153155155155156157157159157157157157158158158157157157157156157156155153153153151151150150151149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999208207206205208210207202199199202202200198198193194194194189188186186185185185187188190190189192191191191190190189190191193196199202203204207212214215217219218219220220218215216219221221222221220219218217220223224228229230230231231231230232232231231232237239238238237236232999999999999999214215216217999999999999215214214214215215214213213999999999999999999999999999999999999999189185184184185185182179176176178178175176182185187189189190188189188188188186187187187188187188189188190191187189190190189187187188187185185184182181181180180180181178178181186189189189191192191184181175172168165161161162161164165170171170169169169169167169193196203206206214213216208206205206208208207206203204205209211213211208206206204206207207205205206203202201197196193189194193191189189187188187185184183183181181182183183185178177175174174173173172171172169167166169169172173173170168168168167167165166166166165165165166165165165164165164164164164164163160159158157159159159159159160162163161162161162164162166166165165165166165165166166165165164164164161160159157153151151150151150149149148147148148148148149150150151151152152154155158160162164164163166167168168168169168167167167168167166164163162162160161160159159158158157156154153153154155156155156155155156156157159163164164165165165165166165166166167167167166165163161157153153152151151151151151151151151153151151151151151152152153153155155155155155154155154156156157157158159160159158157158156158157158158155155157155155153153152153 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999207205202202201203205202198200199198201198197197196195195192193190190190187188189190191194195194193194194195195196195196196194196198198202205206212218219218218217221221221220219220224225224223220223221219219220223225226227230234233232233233233233233234237236239240239237236999999999999999214215217216218217999214215214214214214214215215214214214214999999999999999999999999999999999187183183181182184183179177181179177178183185187189188188189189190189188188190188188188188188189189188188188188189190191193192191189188185185185183182182181181180179181187188190191191189190193193188184183174173172164165165165165168172171170169167167167169174195203209211212214220219208201205203207203203201204202203206209211210213202206205206207207207205207206205205204200199199198196193191188187189187186183185183181182182183183185181177176176174172171171172168168168169170170171171170168169168168167167168168168167167167167167167166166165165165163164164163163161160160159158158159158158159160162163163163164164164165165166166167166166166166165165165165165165163162161160157155154153152151151150150150150150150150151151153154155155156158160166166168168167168170171171172172172171171170170169169166165164163162161161160159159159158158156155153153154155156156157156158158158159162164164165166167167167168169169168168168168167166164164161156154154154152152153152153151151152153152152152154152155156154154156156154156154154154154155156158158159158159156156156155157158157158160159157157157156157155155 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217216213210208207204204203204200200200199198198197197198196194194193194192192192191190192195196197195195196195195196197198200199199199200201201200205208214219220219219221222221221224225226225225223222219219222223222222225227227227230231232232231234233233235236240240239239240238235999999999999999214215216215217216216215216216216216215215216215214214216216214215211999999999999999999999184182181178178179181185181178182182183184187188188189187188187189189189188188189189188188188188188188189188188189190190191191192192189188184184184184183184182181181184187189192192192190190193195196194187186181177175171168167167167170173172170172172171173178187197204208212216216220220210207204205204200201201198198203205207207210211210207207201205204205204203201203204204203203202197197192192190188188190188186183186185183184181184182182179170175173171169172170169169169169169170169171170169169168168168168168170170171173172171170169168167167166164164163163163162160161159160160160160160161161159162163164165164165165166166166166167169168167167166166167166166166165164162162160157156154153152152152153152153152153152153154156157158159160163166170170170171172172172172172172171174173172171170168166164165165165162161161161159159159159159157156156156155156157157158159160160162163164165165166168168168169170170170170169169168168166164165162159155155156155154154153152153153153153152154155155155156157155156157156158158158157153154155155156157158158158157156155155155158158158160159159159159159159157156 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214216216213210209206203203205207208207206204203202202201202200200199198199199198196194193194194197196200202201200196197199202209210210208207206206207205204208217220219219222221221220224226228227226226224219218220222223225225225226227227228230232233234235236237237238244241239999240241241241999999999999999999217216217216217216216216216217217216216215215215216218218218215216214999999999999999186184182179179181183183180180181182185187190190190189188188187189190191190190190188189190191190189189191190191191190191190191191192189190189187185185184184184185186187189191189193193193193194196198197195189189188181177176174174173173175176174175177178187191194201205210212214219222221213207203205202200197201199198203204205205206208208206207205202202199199203204202199199198196197195195188186187185183188188188186185185183184184184183182181179175174174173172171170170170170171171171171171170168168169169170172172172172172173173172171169168167165165164163164164162160161160160161161161161161163161163164164163166165165165165166167167168168167167167167167168168167166164163163162159157157155154154155155157156156155156156157158161164163162166168170171173174173173173172172172172173173172171170167167166165165163161161161161162161161160160159158158158158158159160161163163164165166166166168169169170171170170171172171169168167167167166166164161158157157156154153155153153154154154153154155155155155156156157157158159160158157157156156156156158158158158157157157156158157158159161161161161161160160158157 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999215214213212210208206201204205209209210209208207208207207210214212208206204200200199198198196196194195202206208207204203199199204211214215215214212212212211210208219220221221223224225225226224226228228227227224219222224225225225226227229229229229230232232235236236237241245244245246244245244242242241999999999999999999999215216217217216216216217217216216216216218220220220219218216213208204999999186182181182178182180180180183184185188189190190190189189190189191192192192192192191192192191192191191191192192191190190191191192193192192192191190188188187187188190190191193194193194194194196197199200200199195192197186182181179178179183186181183193195199198200204206210212216219221217211209206204204203202203202203204204205205206206206206207205204199198196197196196198199197195197196195193192191189186186186186185185184187185185184183182183181178175175175174174173173173173172172172172172169168169169169170173173173173173173174173172170169167166165165165165163161161160161161161162162162162162163164166166166166164164164164165168167168168167167167167168168168167166164164163163161160158158157157158157159158162162162160161162165165166166168171172174175175175174173172172171172174173172171169167167165165164163163163163163163162162162162161160160160160161162162164165166167167168168168169170170171171172171172172171168167167167167166166166165161159158158157157157156155155155155156156156156154155157157157158158159160156157158159159159157157158158158157157158158158158160160160163164163162162162159157 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213211211211211211207204205208210214215215215214214214214217221223224219211208205203204202202200205206204208212213210207206203202209214216218218217214213212211213212217222221219220220222227227227229230230230230230224226227228228227227227230231229230229230234234236238240242244240248246245246246245244242999999999999999999999999215216217217217216217218218218219219222223223221219219219216210204199193185183182182187180179180181182184188189189191189189190192193193193193192192193193194194193194193194193191190191191191191191192193194194194194194193193193192190194194195195196196196197197197197199200202203203204202198195194192189188187187186186187199203206195204208210210212215213221221206210208206202200204198201203203205205201201201202201200205202196196193195195192193196197195194188190192192188185184188188187188185186187186185184183184183184178177176177177177176174174175173172172170169166166168171171169171173174174174174175176175175172170168167165165165163164164163163161161162163164163163163164165165166167166166166166165168169169167167167167167167168168167166164163162163162161161161161161161162163164165166167167167167168169169170172173174177176176174175173173173173173174175173170169169167165164164164164165165164165164164163164163163162163163164166168167168169170170171170171171171171171171172172172172171169168168168167167166165165163162159159159160159159158156156156159159158157158158159157159159160160162162161162161160160160159159159159159159160162161161162164164161162164165163163162159 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218214213214212211212208209212218221223224226226224221219218218221224225226218212207206204205206210214217220219219220213209208207210213215217220221221215212213215212213216225225221220219222226230230231231232234234235232229227228227229229228227231229228230230235238241241244243244245249249248248246247246244999999999999999999999999999999999218219219220223225225229227227228226225223223221219214207201192185185184186187181179179181183186189192192191191191192193193193193194193193194194195195195195196196196195194193193192192191192193194195194194194195195194193194192190196197197197197197198198197199200204206205206206205204203200198197198199199201203205207209211213211211212213215213214221214210210209209206200200206206206207206202201199201199197199198197196194193194192191190186191193192193190189189189188189188187186187185186187184184183185185182178177178178178178178176176176176175172173172171171168174173171172174175175176176176177177177176172170169167166165165165165163164163164164164165164165165165166165166166166167167166167167168168170169167167167166167167167165164163163164163164163166165166166166168168169169170171172172171171173173175176177178178178177175174173173173173174174173170170170168166166165165165166166166167167166166166166166166167169168169170171171173173172172172173173172173173173173174175173173171169168168167168166166165164164161160161161161161159157157158158159158159159158158160163163162163164164164164165165164163162161161162161161163163164164166168167167164165164165166164162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214214214215213213212211210217221219221226227228228228227227224221220221224225223215212210209209211213218222225224224223220215214217217215215216218223219213211210212211217219224226224227228230231232231230231233232235235233233231229228228228227227228230230233234238240242244246245247249250250251250250250249246999999999999999233236999999999228228228227228230233235233231231231229229228227225223218210203191188187185183183184182178180184188191191191192194194190190191195195196198200203203202202202202201200200200200196195194193191193195194195195195195193194194195197194194197197194193199199199199199201204206206207207208208207208207207208207209210210210212212214214215213212212214218220222221216211209211213210209208207207205205204203198201201201200196199201199197196194195193196190191193193192191190189187187189189190189185187187187186186185184184182181180179180179180179176176177179178177177176175174175175175173173173175175175175176176177178177175172172169167166166167166164163164164163164165165165166164166164166166166167167166167167168168170169169168168167166167168167165164164163164165167167167166166168170171172173175176177176175175174176176177178178178178178176174174174173173175174172172172170168168167166166167167167167168169168168168168170171172172172172173174174174175175175175175176176174173175174175176174173172170169169168168167168167166166165162164163163163161161160162163163162159159163164163163165165166166166166166165165165164164163163162164165166168167169169171176173175172172171170168166 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214213212211215215214213215221222223225228228228229228228227229228228226224223225223221218213214211213214216220223226227226224219217218217217217219221225223217213213212213217221224228229229231233233232233232234233235236237235235233230230228228226228229231234234236239241242246245248248249251252252251250248249999999999999238237241241245245243240240240235237234234234230228227225227229230229225223222215207193189190190188185183183182182185189191191191193194194195196198200204211215215215217215215216215215214212207204204201197195194192194195195195196196197196195196198197197199200201203201201201200201204207208209209210210211211211212212213211212213214215217217219219219218216214214217221220220217216209209212204211210208205200201200200199198197197197197198198197201202200199194195193191192193189190189189188189189189186185186187188188188187184184185182183181181182180180179177173179181181180180180180180179178177175173173175176175175176176177177177176174172171170169169168168168168168166165166165166166166166166166167168168168168167168168169168170170170170169167167167166165165164166167167167167166165165166169172175175175177176176176176176175177178178178178179178179177177177174173174175173173173172171171170169168168169168169170170171171172171173174175175174175175176177176175177175176177178178177176174175175175176175174173172171171171170170169169168167167166164165165164163164163163164165164162162165167167166167167167167166166165165167166166165165164165169171173175177179180180181182181181176173174171166 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999212211210212215214213216219223225225227229228229228228229229228227227228227225226224221219217216216216216219221222223226228228225221220220219218219223228225219216217216217222224226228230230234235234234234235236235237238239237236234231230229226228229229233235235238240242244246246246248250250252253251249247249999999999999242246249250248242240237239237236234233232230228225223225224224227229224224221218209197196195192192187184188184182185189192193195193196196198202210217219220220220219219218217217219218218218218214210208202201199194193195196196196197198199199200199200200200203205205204202203204206209210211211211212213212214214214213213216216217218219221220222223223220219216216217218216222217216211209210211207206205202201202202200199198197196196197196197196196198199196197194196195193193191191190189189189187191190187186182186188188188186185184184184185184183182181180179180182181181182181182183182184182181179176175175176175175176176177177176177175174173171171171172174174173173172170171167167169168168166167168168168168169169169170170169170171170171169168167167166166167167167168168168169168168168171175174173175174174175176176176176176178180178178178178177179179178178177176174174174174173173173172172171169168169170170171173173174175175175177178179179179179178179179178179180179180180179178178176177177177178177176174173173174173172171172171171170168167166165165165164166166167165166165166166167169168168168168168168167169168167167167165166169170171173175179181182183183184186186185181180179177173169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999210209211213216215216219224224225225228227227228229228229231230228229229229228227225223223223223223223224226229227227226230229230227226227225224223224229229224219219222225226227229231234235237238238238238239238238238239240239237235232231232230231233234235236238240242242244245247247250251252253253251252250249250999999241246251250248247999999999235233233232228226227225225220224222224226226226223220217205196196194194197192188186189189191192195196198197200204213218219220220219219220217218218216216218218217217219218217214211204200198195195196198197199200202202201202202203205206208207207206206208210211211211212213214215216216216215217217218220222224224224223223223224224224220221222221219218217217216210211204206202203202202202202200198198197197196198196197196198197198197198197195199198193192192190189188186191191190190189180186188188189189188188187187186185186184183181182182181183183183183187188187187186185183180179177175175174177178177177178178176175173173174176176177179179179178176175173172174174173173172172171170170170170170171170172173171171171171171171171169168166166168168168167169168169171174176176175177177179177176177177178178179178177178178180180181181181179178178176176176175174174174173172170169170170170170172173175177177178179180180180181181182180182183182183183184183182182181181182180179179180179176175175175175174174172173173173174171171171169169168166167168168168171170170171172172170168170170169170169168168168166166168174176176177179182184185185187185187188188186185184184181176169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213214216217217220222224225228226227229230232232232232232231230231231230230229226224224224226228227233234238237237235230233233231234236235230230231231231231229229230231231231232234235236237239239240240240240240240241241239238235233231232232234236235238238239241243242244245246249250249252253254254254253252253254251252250250250249999999999999999999227228226228226224224224223223222225224226223220214207200198204200199197195193194199197196198200205211217218222221222222220220219219218218217215216219218218217217219217216212208201200197196196197198201203204204203203204206209211210210210211211212213212213214214215216221221218219221223224225224225226225224223222221222224225224221222221221220218217221213208203205208201202203202201200198198198198195193196199198198200199200202200200199197196196194192190192192193190190191189188187186188189188189189187188189189189185183182183184183185187186188188189190189188188188187184180177176175177178179178178177178176176176178178179179181182180179179179177176179177175174176177176175173173173173172173173174171171171172172172173172171170169170170171171170171170173175177175177179180180180179180179181181179179179179181182183182181181180180180179179178178178175175174174171171171171171173174176176178179180180181182182182183184184185184184185187187186185184184184184183181182182180178176176176175174176175175175176175175174175172171171172172171170174173171173174172171170171171171171171169168168169168172176178180181181184185187186187188188188188188188187185185184178172 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999215215215216216217218221224227228228229233235236235235235235234232232232231231230228226226226227229234238239240239240240238235235237239239239236234233233235234236238236236236237238236237240241240241242243242242243243242240240240238236236235233236236237239239240241242243243243246246250251252254254254256256257258255255256248248248247999999999999999999231225226227226225223223222223223226224225223219214209204203205210206203203202201203204208212217219220222221222221221218218219217219218217216217218218216216218218220218217213211206201199198197198202202204206205205205207209211211211212213214213213214214215215216218219221221223225227227227227226225224222219224222221223223225225225222224223224224223223215209207207205201202203203201200198198197197196197197196197198200200200198195194194195197197196193191192190192190191190190183182186187188189190189190191190192192192189187186185184183185186189189189190190191190190189187184182179175176176177178178178177178178180179179181180182181180180179179179179179179178177178178177177179179178178177177176175174171171173172173172172172174172171174172173174174174174175176177178179180183184183184183183182181180179180181182182182182182181182183183182183183182180179177175174173172173174175176177178178178179181182183182183184186185185188187187187188188188186185185185184183183183182182179177176177177176177176177176176177176177175176175175175172173174174174175174172172173172172172172171170172170172176181181182182186185186187188187186187187189187188188188186187186181175 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214215214216215216218222224228231233235237237238239239239237235231233232232231228227230229228230232238241242241240241240240237238240241239238237237236235238234236235237238238240239241241243242241243244245245245244243242241240242241239238239237238237238241241241239241242243241244246248253254254254254255257258260260259999999999999246241240241240237999230225226228227226225223224223224223223223220217213207208211212213215213215219218220222223224221223224223225221220219218218219220219217217219219220219218217219219220217217215213208203202199198199203204202208206207209210211214212213213214214215216217217217218218223223224225226228230230228227226224222222222224223222221223223225224224224225225224224222219215209208204207202203203202201199198198198198198197197197199201200200198193195196196197199196196193190190192192192192191184184185187186188189189190190192194194194193192191191189189187188189189190190192192193193191190190186183178177176176176177178177178179180181181182182183182183181181180180181181181180180180180180180182183184183183182180177175173171171171172171170171172173174173173174175176176177177177178179179179181183185186186186184183182181181182183183182183183182181182183184184185185184183181179175173174175176177177178177178178179180182182184185185187186186188188188190189191188188188187185184183183183183182183180178176177177179177177178176177177177176175175175176175174174175174174173171172173175172171171172174175177179180187184184186186187187188189189190188187187188188188187187187186185182 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999214212214216215216224227236235237237237237238238239239240240238235233233232231230229231231230229235239241242241240239239238237236240238236235236236238238239238238242243243242244245244242245245247247246245243245245242242241240239241240239240238239237240241239241241240243244245245246247248249250253256256258259259259257999999999999241243239239239231999224222221227227226225223224224222221222221219217211207212216214217217220225225225226226225226222226224223223221220220219219219219221219217219220220220219219217218220219218219217209205204201201200202207205209210208210213213214211212213214214215217218218218220222225226226227229230229228227225224223221224224223221222222223224224225224225223223223225220219216209205206205202205204203202201199199199199199198198198199200200201200195194197197199200198199196192192192192192192191190185185186187190190190188191195195195195195194193192191191191191190190190192193193194194192192190188185180176177177177177177178180179181181181182182182182181182182181181183182181180180179180181181183185184184183183182181179178175171173172172173173173175175176176175176177178178178178178178180180181182183184186187187186186185184182182183183183184182182182184185187188188188186184181178176175176177178178179179178178179179180182184185187187188188189190191192192191189189188188188187185184184183183184183181179178178177178178178177178177178177175177177177175175174172172172174174175176175172171173173175175179182184185186188188189188190188190189189189187188188188188188187187187186184 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213213215216217220229234236236237237238238238239239240239239239238234234234234233232233234230230235238241242241242243240237237238239242240237238237237239238239241241243244245246247247247248248248247244243241240240239237237237236236240240241240239240240241240240242242243244244245246247248249251253254257259260260258257999999999999244243999238236999999223222219224227226226224223223222223221220220221219215217221222222223227226225226224224223225227228225225222222222221220220220220222219219217219220220220219216219221219219217215213209207202203203204206207208209209210211211213212211211211213215217218218219222225227227227229229229228228226224224224224226225222221223224224225224226225224224222224223222219218209205204206205204204203203202202202201201200200200201201201201202202202201200200200199196198198197194193192192192192190189190190191192191190192196196197197196196195194194193193192192192191194195194195196196195194192190188182177177177176176178178180181181180182181181182182182182182183183185185183182182182183184185186185187188186184182183185182181180179179178177178179180179179179178177178180179179179179180181180181182183184185189189189189188186184183183184183184184184185185186186188190191190186183180178176177177177178180180179179180179179181184186187188190190190191192193193193192190189189189188189187186182184183182182180179178178178178177177178179178177176177178177178176175175174174175175175175175175172173176180180181183184187187190190191189192192189188190187189190189189189188188188188186184 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250251253253251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999213213215217219232236237237237237238239239237240241241240239239240238236235235234233233235234231234236238240242242243241240238242241242242239242242242240240241244242243245246246246249249250250249246244242242242241241241241238243242241239241240240241241244240241241243243245247247247247249251253254255257260259258258256999999999999999999999999999999999225223221221226225226226226223224222220221223221218214214223222222223223223224224227226224224228230227224223225223222222221223222222220219222220219221222221220221219220220221219213210207204205206205207209211211212213211212212212213211211212216219220220222224226228229230230231229228227226224223224226226225223219222224224224224225224226224224225224223220219211205203205205204204204204204204203204203202202202202203203202203203203200200198194200200201194197189194193193192190188185186186183187192196200198199198199198199197195194195194194194194196197196198197197197197196194191189185179177177178179179179178182180180181181181182183182181183183182182185185185184182183186185185187188189188185186187188186185185184185184182183185186184185184181182182181180181181181181182182182183184184185189191191192188187186185184184184184184185185186187187186189192192190187183181178178178178180180180180179180180179180182184187190191191191191192193191193193191189189192190189189187186184182183182182181180179178177177177179180180178178178177178178176176176176176176174174176175174175177179181183184185185189189187188189191193193191190192190190189190189190190189189189187186 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250250251251251252251250252250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222222220218214217222231236236237237237237238239237236239241241241241239239240239238236234235235235235233234236236238242244244244244241241244245244241244244244245242243242242243246246247246246246247240240242241242243244241244247248247243245244242243243242242244244242243243244246248248248249250251253254254256260261259999999999999999999999999999999999999999999221224224224225226226226225226223222221221218219218214216223222222222222223225225227229230230231232229225225226224224223224223223222222223222222221221222221221222221221222221218213210207207207208209212211211212212211213211211211211211212215217219221221225226228231233232232229228227226225225224224225225225224222222223224224224223225225224224224224225224221216210206207204205206206206206205205204203204204203203204203202201202203203201196197197197194194196197197193191194188191193189189190192196199198200200201202203201201196200199199198200200200199199198197197197198197197193192188182179179180179178180180181182182181181182183182182182183184183185187187186185185187188188188188190191190187190191190191190189190190190190189190191190189186187186184184185185183182183184184186186187187189191191191191191189189188187186186187187185185187189188188189191193193191187184181178179179180179180181180181181181181182184186188191191191191194195194193195193194193192193193193190192188186183183182182181179181179178178179179179179178180179178179179178178176175174175176176176174175178180182183185187188190190191194191195195194193192192191192191190190190189190190190187187 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252252252252252252251252252252253254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223224221223220218219218229237237237237237238239239237242242242241240241241241240242242241238235236236237236236236237238239242242245246246243243246247247245248246245245244244243243245246247246245245245243241240242243244244247249249253254251249250250249249246244247247247244244244246248249249249250252253255256255255259260999999999999999999999999999999999999999999999220224224223224221225224225226226225223221219217217217222223222224224228228227227225231231232233234230226227226225224224224224223222222222220223223223222222221222223222221221216213211207207209210214211210213214211210209209209209210210215218219220221222226225230233234232231228228227226225225225225226225226225225225223225226226225225224225224220223224224224222215211209206207209209210208207206206205204204204205205204202200200203205202202198200200199199199198196195194194194194194195199202204202201200201201203204205204203202202203202202203204201199198199198198199199199199196193190188183182181180181180180181181184183184183183183183182183184184186187187188188187188188188190190192192191193193192190192191188191191192192191192196192193192192192192191191190188186186185187189189189190191190191191192191191190190188189189188188188188187188188189190192193194193190186183180179179180181182182181181181180181182184186187192193193192192194195196198198198199198196196196193193191189186185184184184183182181180179180181181181179180180181182181181179180177178179179178177176177180181185186187189189190191192195194195195194193193193192192190191189190189190190190188187 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254252253254253253253253253253254253254253252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226228229219216217221229234237236237238239239240241242241240244241240240242243243243243243242237236236237237237238239240240240244245247247246247251251249247244245244244245246245249248250250245243245246246246245245245246252251251257257258258255253254254252251253252250250247246247247249249249250253255256256256256257259260262999999999999999999999999999999999999999999999999223223223222223225228227226226222224221218218222223223223222223226226228224228229232233235234231230227226225224225225225227228224225224225223223222224224223223224221219216215214210210213213218214215215217215214213210210210212213218221221222221222227229232236234232231230230229227225225227227227227226226226226226224226230225226226225223222220221224224224221220219210212211211210210209208206206205204205206205206205203202204206206204200199201201203201197196193192197196192192197200201200197200200202202203205204205204204204205208207204201201200198198198200200199199198196195192191184183182181182182180181183183182184184183184184185186187188189189192192191191190191191191191192192195195195194192193193193193193195197198197198198196195195196196197196195193190189188190190190190190191190190191192191191191191191191190191191191191190189189190192192193193193192189185181180180180181180182181181180180181180184186188190193194194193194194195196198199200199196195195192191191192188189187185184183183181181181181182182182181180182182183181181181183183182181181180179176178180183184188188190192192191194197197196196197195195193193193191191190190189190190190188185 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253253254255256255254254254254254255255255254253249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234234230230225224224225228232235235236238237239240239240241243243243242241242243243241244242243242242241238239239240241241242242243246246246248251251253252250246243243240240249250250248248251252250246247249247246250248247247252252255258260261259255253251255253255256254253250247246248249250251252254256257257257257257258260261260999999999999999999999999999999999999999999999999999222221223221223223226226223223225225225225224224224223223223226225227227229231232233232233232229228228225225225225224225228227227226226225224225225225225225224223222218215216212213215218218220221220217218215213212215214216219221221222223223224227228230235236234233232231229226226227228229229228229228229226231228229228230230231231230229228229228227225225227224222223221218216214212210207206206206206207207207206205205206207207207206203201200201200196195194194195194192197199200198200200199202202204204203202203205206207205208203202201200200200200200199200199198199197194194193189187186184183183183185185184184187188186187187189189189191191192192193193194192191191192193194194197196195194195195195194196195197196197196198198199199199199199198198198197195193192191191191192192193192190191191190190191193195194194194194194193192192192192193195194194193193192188184181180180181180180180181180180180181185187188189193193194194194195195197198198198199197196196193193195194190189188186185184183182182182182183183183183183182183183183182186186185185184182182182178179180182186187189190191192194196199200198198197197197195195193192191192191190191191190187186 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252252253254256256255255254255255255255255255254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236236236229226221223226225228230234231230235238239240240243243243243241240241244244244243244245244244244243241240240241242243244245243246246246247249251253253256248247248244242247249248248248251250252252250247247249250251254253254255255253258260258260257254254257254256257255251253251253248248250253255257258259258259258258260262262262999999999999999999999999999999999999999999999999999999219222218219221223224221220223224223222224223223222223223225227229230232232233232232234236234230229226224225226226224227227227226226225224225225226224224226221223220218216215216223220222221222224223222219218218221222221221222220223224226225226227233236237236235234233230229227226226227229230231231231232232233232232233234234233234234234235235235230232231230228227227226224218217216210209208209208209207207206205205206207208208208204204203201199199197196196195195195198199199199201199196199200200201203203203204206206205203204202200200200200200201200199199199199198197194193190187184186187185184184183183185188189188190190190192193193192193195196197196195195195193195194195195196196195195196196197200202201200197199199199198198199199200198199200198198197196195195194194194196196194192192191192193193195195194194195195196195195194195195195196195195195194190187183181181180180181182181179180182183185187188190191194197194195195195198198198201201200197197197196196196192189188188186184185185185184183183184185185184184184185185187192198197191188187187187183180183183184186188190191193194196198200199199199199198196196195193193193191190190191190189189 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252251250251253255256255255255255255256256255254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238238237234226225226224225228231233233234235236237240243243244243243240240238240244245245245246245245245245243242242242242244245246245246247246247247248254255254255254253253249246250248248246248251254254251250250250252253253252249254254253256258260260256254254250254255254254254255253255255255252256254256253258259258258258259262263263262999999999999999999999999999999999999999999999999999999218216218211213216215220214220222221227222222222223224224225225227226229228231231232233235235234231228226226226227226227225225224224223222223226226225223225223222218218217218217219222222222223224225222222222223225225224225224224224225227226228228232235238237236234234233231230230229231232233232232233234234234233235236235235237236236237235234235232231231230229231230230228226224220214211211210210210208208206206206206207208208209208208207208206203200200199199200199201201201201205207207200199201203203206205206205206207201204202201200200200200199199199199198199198198195194193190188186187184184185183184185188190189190191191193193194194196197198198196196196196196196194195196197197198197197197199200202201199197198197198198198199199199200200200198199201199199198197197197197198197195194194193194195197197197198198197196196197197197196197197197197196196193189186183182180180182180180179181184184186188187189192193196195196196198201200200200201201199198196197196194192187188187186186186187186185185185187187187186188188186188190191191190191191190191190186183184184185187189192191194195199200199201200201201201199197195194193194193194192191191190189 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253253251248247247249251254254254254255255255253254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239239236233229225224224227230232231233234235236238238240240243244242240242241240242246246245244244244240244243243243242241242242243245246246247247248249252254255255255257256255253253251252253253255257257258256255254255255254254253253253251257258259260257250254255254252252254253255257255256255252254255258261259261259259258257260263263263261999999999999999999999999999999999999999999999999999999999216216215212215218218229228228228226226227223223224225225225227229232230230231233231232236234231231227228227225225226226226226226225226226226226223226227223220221218218218222224226224224225227226222223225223226225225226226227227228229228229233235237239238235234232234234233233232233234234234234235236235235236236237239240239239239239238238236235234234232231233234235233230227225221216214214213211212211211208207206206208210211212211212210210210207204201200199199197198198198200201203204205206206206207208207207207206205205203202199199200199199199198198197198198199197196194191187188186184184184183185188191190190191191192193193193195198197197198197197197197198197196194196198198198197198199200201200199198198197197197199199198199201200200198200201201201201199199199199199199198197196196195196198198199200201202200199198197197197196197197197197197196196191189185183182181181181180180182185187186187188188191193195196195196199199199200200201200200199199197196195194192189189188188187187187186187188188190189189190190190191191191192192193193192192192188185184185184185187189191195196199199199202202203202202200200199200198196195195193193194191192 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252253253253253251247245244243244246249250252252252253252251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235235239240238235232228226225227232233231233234235236237239239239241243244244244245243242244247246246245242244243244244242243242243243243244245247246246247246251253254256255255255258258257257256256258259257258258257258257254254253253255256255253255256256260259255251256253254255254256255257258258258258254255257257261261260259259259260258264263262261999999999999999999999999999999999999999999999999999999999219214221219217217229217214226224221222224224225224224225226230232232231231233234233232238236233232229228228227227225224224226227227227225225225228228226223221221217218224223227227225225225226227228227225225225227227227227227230232233235236235238239239238233236234233233235235235235235236236235235237237237237238238240240241243240241240239237234234233233232232233234234233230228225222217217214211211211212214208209209210212214215215216215215214212212210206204202200201201202203205206209209209209209210209209210208208208206206202199199200201200199199198198198198199198196193192190187186185184184185187189191191191192191194194195195196198198198199199197197198198196196195196196198198198198200200200200198199199198198198198200199200199200200199200201201201201200200200200200199200197197197197197201202202207205205204203202199199197196197197198198197196195193189187183181181181180180180184186188187187189191193194195195195198200202201200202202203201201197197199196194190190190189188187186186187189189190190190191190191191193192192192194194194193193192190189185185185185187190189195197198200201201202202202201201202201201200200199199197197197197195 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254253251250251252252252248244243242242244245246247249250252251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238236234233233238240240239237234231230230232235234234235234235237238239240241242239243244243244242241242246247247243243244245246245244244243244244244243245247246247248252253254256256257256259256259259258257257258258257257256256258259256255256255257257256256257252257255261254255257256255255255257255257257257255255257259261262262261256259260260261262265264999999999999999999999999999999999999999999999999999999999999999999219221222225217230218220224222222221223225224223223230230236237237235235234235236233237241242236233229229228227228228228227227228229227227228227225225225224219218224225226225225225227227227227229227227226227227227227228229231232237239238236238240241239236236236237235238237236235235236236237238238238239241241241242241241242243242243241239237234233233232231230233231232233230229227221218216214214213213212211212213214214217218217219218217216216215214212211210209208209209210211215213212212213213214214213212211211209209206203199198200201200202201200200198198198198196195193191187185185186186186189191193193193192194195195196196198198198200201199200199200199198197198197196196196197199200200199200198200198198197197197197197199199200200200200200201200201201200200200200199199198197198200203207206205207205204205206205202203199198198198199198197196195194190187185182182182181181183187187188188189191192193194195195195199201202202200198201200200196197199198199197193190190190190187187187188189191191191191192191191192191192193195195196195195194193192192188185185186187190191194196199200200200202202202202203201203202201201200201202202201201199 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253253253252250250250250250248248246244243242241242242244248249999999999999999999999999999999999999999999999999999999999999999999999999999999245246999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235237236234233232232238239239239239237233231232233236237235236236238239240240240240240240242242242242239242245245246245244242244246246246245245245245246245245246248248250252254255255256257258258258259259260260258258257258258258259257256256256257258259262261256257257257258260263260260253256255256257257256257258258261261261262263263262261260260260260261264264264264263999999999999999999999999999999999999999999999999999999999999221223219226227229227227227226222223225225228228230232229236237232235235235237238237240242242241235231231228229227228228227226227227228228227226225223222222220221223221225223226227226224227227227228228228228228230231232231233233236238236239240242242240235235235236236236236237236236236237237238239239240242242241241242243243244245244244243239234233232231230229230231233233233231229226224220217217214214214213214215216219220221221220219218213216216214213213212212212212213211214216216216219218218218218217217216214211209209206202198201201201202201201203201199199197196196194191190186186186187188189192194194192195195195195196197198199200200202201202201200199199198198198199197196201201200199198199197199196196196197197197197197199199200200200201201201200200201201200198199199200202204205207207207206205203202203204203204205203200199199199198197197196195191188186184183183182184187189189188188190191192192194196197199200200201201201202199199197200200201199200202200196191191189187187188190190191192191193192193194194194194194196197196196196196194194192190187185187187188190193195196198198198201202202202202204203203201200202203204203204203203 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254253253251251251251251249248247248247246244242241240240245248999999999999999999999999999999999999999999999999999999247246248247246247248248249247247251250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235235236237234238237237239239240240239239236234234232237237237237237237239240241241241241241242241239239237239243244245246245245245245246246247246246246246246247248248253253253255254255255256259260260260259261260259258257257259258260259260258257257256259257259256256260259260263263262259255257257257257259258259260261262261262262263263263262261260260260260263264265265264264999999999999999999999999999999999999999999999999999999999225221221224220221221227223223225223223224224224229233235238236233233236237241242242242244245243239236234231228224229228227228228229230229225226224226227222222226225226227227226227227226228227227228227229228230231231236234236240242241241242243243241239236235236237236237238238235235236238238239241241243243241241241240241243243243244244244242237234233233231231231232232234234233231229226223223220218217217214215217219221222220223221214219219218217218217215214214214216218219220220221224224224222225223220220220218215213211208203201202203203203203203203203202200199198196195193191189188188187188190193196196195195194194194196196197198200202203203203203202201200199198200201201202201201200199197197196197196196195195197196197197198199200201201201201200200200202201200199199203205206206207207205205203202199200201201202205205206205203201200200198197196195192189188186184183184186188189189189188188192192193195196198200201201201202201201200200198200200202200202203203200194192191190189190190192193192192193192193194195195194195196197198197197197196196194193188187186187188190192194197199200200201202203203202203204203203201203204204203203205206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253254252252251251252251251248247248248248245243241239239240246249243999999999999999999999999999999999999999999999246247248247246246246247247248248248249251252999255256999999999999999999999999999999999999999999999999999999999999999999999999999999234235236235237239239238240240240242241241240241240239234235238240237238239241244244243244243243243243241239238239244247246247246246247247246246247246246246247248249251253254255255256256256257257259259259261259260258256259259260257258263261261261260261261262259261256261258259262263263262259259257259260260260259260260262261262262263265265263261262260259259258261264265265267263999999999999999999999999999999999999999999999999999999999223222220223219223223223222224222222224226227229229234237237237233235240241244244245248248245244241240238233232230229228227226227229229227225225224226222222223224227227227227227227229227228229229228229230231232233232235239240242243242242243243243242239235236235237236238238237236234235239237239242242241241240240240238239239239242243246246247244238233232233232231231232234235234233230229228224224221217218216218220220222221225224223223221221221219219218218218219221222224225226227226227227226223224224223223223221219217215211209202204205207203203204205205205204203201199198197194193191192191190192194196197197197196195196197198198199201204206205205205204202201200200202204205205203201200199197196196195196196195196196196197197197199200201201201200200201200201201201202205206207208207207207205202201200200199199199200202203206207205203200201201200197195193191189187186187185188189190190189189190192194195195197200201200200202201202202202201201202203201202204205204203200196193191190191193191191192193194193193194193195195196197197198198198197197196195194191187187186187188190193194195198199200200202201202203202202202201202203205206204206208 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253252252251250250251250250248248248247244241239239238238242999999999999999999999999999999999999999999999243241241241244246246245245246244244246247247248249251251254255253257999254999999999999999999999999999999999999999999999999999999999999999999999234234235237238239238239241242242242242241240240240239238239239239244246247248248247247247246246245244245240242245244244244247247247246244247247247246247248252254257256255256256256257258258259259259260259257258259260260261260258261262260261261260260261261260259260260258261263264263261258260261260260262261261261260261262262263263264264263260261261259260261261263267265266263999999999999999999999999999999999999999999999999999999999999222220220223225226225225227227228226229231230230236238240237233239245246246247247245245248248244246246241236233228229229228227226228226225225225225226226224226226228229229229228229229229230231230230234235236237236238242245244244243243242240241240240238235235235237238237239238238239241240240241239239239238237237237237238239239241246246245248242239236235233233233233234234234234230227227224221219217218218221221221222222220220221221221222222222222222223221222223226228227227228228230228226225226225225223224222222221217214212211208206208205205206208207207206206206204202201199197195194192191192194197197198197196197197198199199199201205206207206207207204203203204204206206203202200198198197196196194195195195196196196196196196198199201201200199200201200200202203204207206204208207207208207202201199198198198198199200201203205206204201201200199198196194192190188188188187189190191191190190191192195197197199200199200201201203203204203203204205205205204203204204204203201198195193193193192192192194194194193193193194194194197198198198198197197197197194193190188187187188190190192193196196199201201204203203201201201202203202204204204208209 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252251250249248249250251250248247246245244242240237237238241999240999999999999999999999999999999999240241242237236236242245244244244243240240242243245246247249249252252254253250252999999999999999999999999999999999999999999999999999999999999999999237236235235236239237239241243243244243242242242241241242238239240246248248250250250248250250248247246244246242243247243247246246247247247248248247247249252251252256257255256258258258259259258259259259260259261260261261261261260260261262261260260260261262262262260257260262263264264261259260259262260260261261261261260260260262262263264264262262261263262260259262263265267267262999999999999999999999999999999999999999999999999999999999219222222219222224227227228227227229229228230233229230235237233242243243244249248247246246250250249248249247244241238235234231230233234228228228225228231230228228227228231232233233233232233233236235236237239242239239243247248246246246245243239241240239240236233235238236240239239238237237241238238237238238237238238238238240239240241244247247248248247242235235234234234234234234233232231230229225222221221221223224223224224223223224223223223223223223223224225225227229229230231229228229233230228227229228225224224223221219215213211210210209207206207208210209208207208207205204203200198196194193194194197198197197197197197198200200200200204206207207208207205205204205206207205202200199196197197196196196196195195196196196197196197198200200200200200200199200201203205208207207209209207207206204202201198198198198198197198200202202203204200200199200199196195194193192192191190190190191191193191192193195197199198201202200203202203203204205205206206206207207206206206206207203201200198195193194193191193193194193192192193193194196199198198199199199198197196195192190189188188188189190191194195196198200201200201203202201201201201202205206208211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253253250249248249249249250250249249247246244244240238236235237239245250251241999999999999999238240240232228236236235239244244243242243240238237238239239241243246247248251253253253254255999999999999999999999999999999999999999999999999999999999999242238232236235239239238240242244244244244242240240239240242238242248250251252252251254254253252251252251249249244243246247249249248247247249250251250252252252251252254257259258259259258257258259258260262262261261261261258258260258258262263261258258261262263262262262261261261263262262261260259260262261262262261262262261261263262263265264264263260260263262261260262264269269267999999999999999999999999999999999999999999999999999999999222220222221219220224228228227227224227230230230232234236240243241240239242244244252251251251250249249250248249248248246244240239237235233232230231230237233233232232233234234235236237237237241241242242243244245246247248249250250249248247246245242244242240238236237236238239241241240239238238237237238238237237238238238237239239240240240243245247248249250247243238236235236235235235235234232231229227222221222225227225224224224223226223225225225224224224224224226228229230230231230231230232230231229230228228225223225224221221220217214212211212212211211212213212212212211210209209207206202199198195195195197197196196196198199199200200200202205206207206208207206205206206207206203201199198196196196196196195195195196197196196197197198198199199199199199199199202203205207208209208210210207209206204202200198199199198198199198199199201203203201200199199198197196195194192192192191193191191192193193193194196197197198201202205205204203204204205206206207207208208210209208208206204204205204200196194193193193194193194194193193193194197198199198199199201199198197196194192191189189189189190190192192193196196197198199201200201201203203203205207208211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253253251250249250250250251252251251250246246244242238237236235238240243245250999999999999999238235237236230227231235239240244243243244246244238236235234234236238240243245249250251251252250999999999999999999999999999999999999999999999999999999999999241240238238239241240238240242244244244244241239241240242244245249251251252252254255256254254254253252252250249246247247249253254255251253255253256257256256256256255257258259257255257258257258258259263259260261261257258258258257258259261262262256258259261264262261258260260263262260260260260259260257258262262262260263263262262262264263263265263261263265264262262266267269269999999999999999999999999999999999999999999999999999999999999222222223222221222223228229229228229230231230231232232236240241239237238242244244251250248252252252252251250250251250250249249246244242240238234233236236238237237236237237239239241240242245249248244239243248249249247247248249248250248245244245245242242240240238237239239239241243240240239239238239236236237239237236239239239237239241241242241244246248248249248245242239237238237236236235233231229226224222225227228226225227227227227226226223223223226225225225226228230230231232231231231232233232233232230229226226226224221221221220219217213214214213214214214214214214214213213213211209207202200199197196196197197197198198199200201201201203207208207207208207207207207207205203202201200199197198197196196195195195195196197197196196196198199200199199200200201202203207208209209209211210209209209206203202201199199200198199197198199201202202202201199199199198195195194194193192193191192191193194194194194196197200201202203206205204204204204205206208206208210209210211211208209207206206206204201197194194193192193194194194193193194196198199198198198200199199198197196195193192191190190189190191191192193194196196198199200200201202205205205206209212 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265264264999999999999999261999999256255252252251250250250250250252254253252250247243241240239237237236240243247252999999999999999237236236234232230230232235240240242242244247248246240236234232230231231233237241243244247249249999999999999999999999999999999999999999999999999999999999999999999999239241242242240238240242244244243242240238240241245248250251251252252253255256256255255254254254255251250247246248248253259258255255256257257260259257257256256258259260258258258258260259259259258258260261259258256259260261260258262261260258259260261262262261263262260263261261259259259260260260259261261263264263264265263263266268265265264261262264267266266265268268270999999999999999999999999999999999999999999999999999999999999225223223224225225226227230230230230231231231230231233236238239238241243244244247250251251254253253253253251250253252249250250248248249246245244238245244242240241240242242245245246247246251251249248250251250248248251249249250250251250248247246246244241241240239238239238238240240240238239240240237239236237239239238239240240239238241240241242243244246248249248247247245241239238238238236235231229226222223227228227229227227228228226225225222221221221226227226227228230231232232230232233233235234233233231230228227225224223223224223221220219217218219219218218218218219218217217218215214213208204204201200198198198198199200200201202202202205207209209209209208207207208206204203202201200198198198197197197196195194195196197197197197197198199200200200200200202202205210209210210211213214211212211209204203202200200200199197197198199200202202201201200199199199198197195195194194195193193193193194195195196197199201202202205206206206206205205206206207207209209208210212212210210209208206205204203201198196195194193193194194193193194195197199199199200200201201201199200199198196195194194191191192192193194194195196198198200201202203204204205206209214 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265263262261999999267264260259255255254252250250250250250251252253254253252250246242240239236234232235240244250999999999999999233237238238236233230234239238237235240245249250250247244242240231228227227229232234236239243247251999999999999999999999999999999999999999999999999999999999999999999999999999240241240238238240242242242241239239242245248250250251251250249250257258257256254254254255251252249247243245249254257259257258257258259259259255256258259260261262257259258258260258259259259260260260260260259258259261261262263260260259261261264263260263263261262262262260258260259260260260259259263264265264265263262267267265267266268269264267265267266267268271267999999999999999999999999999999999999999999999999999999999222224225225225229228229230228230231232232232231232232234236238240238240243246244247251255255254253254254252253253254250251249252251251251250250250249249249248251250250249251253251253252253254253251252250250252254248251250251251248249249248250248246245241241240240240241239238238238238238239241239237239237238239240241241241240239237239240241243243244246247249250251251250246243239239238237235233231228224225229227228228229230230229226229228228224223224225226229230230231232231232232231228235234235234233231231230227227225225224225225224224223222223223223223223223223222223222223221220217216215213209207203201200199200201202203202202202203206208211211211211210208207207206204203202201199198198197197197197196194195195196197197197197197198199200200199201202203205209209210210210212213213212214210211209205203202199198198198198198198201202201202202201201200200199198198197197196196196195195195195196197196198199200201201205206206207206205206207207207208208208209210211212212211211209208207206205203203200197196195194193193194194197197199200199200201202202203203202203203201200199197197195195195193194194194196197198199200201201202202203205206209214 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267267262261261260260262258256254254252251250249249250250251252252254254253252249244242238237235232228240999999999999999231233233236239240240237236240246244242238233243249251252251248249248245238231227226227228231231236244251999999999999999999999999999999999999999999999999999999999999999999999999999999999242240239236238240241242244240244246248248249250251253252252255257257256255255257256257254252250247245245249255255256255257258259260260259259259257258257259260257258258258261259258260257258258260260261260261262261261262262261261262263262264263262263263263263263261262259259259261261261262264265266267268265268267267265267268269269269266266264264264270272271999999999999999999999999999999999999999999999999999999999227227226225229238241240236237235233234233234234234236235236237238239239240244245245249253255254254254253252252253251251249250252252252251251250251250252251252254255255254251252254251253253254255253254254253249250253252252251251249251245244246251247246247244244243243243243238237238240238240239240239241242241241240241243242241240239237239242243244244240244246245250253252248247248247240240239238237235231228229231229228230230232231228232232231230229227226224227230231231232233234233234233233235235238238235236234231228227227226225225227227227226227228229229229230229228227227226225224223220218218217216211208205203202202204205205204203204203206209211211211210210209209208207204203202200199198198197197197197195195196196197197198197197197198200200199200200202205207209209210211210212213213213212212212212209206204202201200200198198199200201201201201202201201201200200199198198198197199196197196197196197196197198199200201204205205205207207208208208208208208209210212213213213213212211210208208206205204203202199196196196195195196199199201201201202203204205205204205206205205203202202201200198198197196196196196197198198200201200201203204207209212216 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266266264263261259258258257256256254253253251250249250251251251252252252252252250247242239237236238233227999999999999999999234239238239240241244245244248247246243241241247250252252252251251249247241234227226225226227229238246999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999241240239240240243245246247247248248249250252253253253255258258258256256258260261258253251247244247252255254255255255255257257259260259258259255255258258258258257260260259259259258257259260261263262261260262263262263262263264263263264263264263263262263264263264262261262264263262263264266267268268265270268267271271273269267268267265265267264267265262999999999999999999999999999999999999999999999999999999233231228227228236239240241243243241237236236236236236235237237238239239239240244245245248254255256258254254253254255254253253251254255253253254253253251254253253253255254252250253253256255256256255257257256257255256254251254255253253253252251251251251248249247247246247246246247243244243242245244245242245243241238242242242242242240239237239240241242244245244245245249251253247245245246248245241240238233234229229233231229230233231231230231232231228231230228225224230232232233234235235234234235236236236238236235234233231230227228228229230230227227230231233233234234234232233232230230227226224222220220219217214211208206205205207207207204205205207209211211210210210210210208207205203201201199199198197196196196196196197197197197197198198198199200201201202203203204206208208209210212212214213212213213214213211209205202201200201200200200201201202202201201201201202201199199198199198198199197197197198198197197197198199199201204206205206208209209209208208208209211211213215214215214213212211211209207207204204205203200199197196197197200203203204205206205205205207207207207208207206206206204203202201200199198198198197198198201201201202203205208211214220 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267264264263262260259258257257256255255254252251250251251251251251251249250249248245240238237235236234238233240240241240241242243243243244245248249249249248248246247249250251252253252252252251250245238228225225225227230239244248239999999999999999999999999999999999999999999999999999999999999999999999999999999999999999242243243242244244246245247246248250250251254253254257260259258256256257259259257254251249249250252254253254254255256257258259257258258258256257258257258257259258261259259260259259260260260262262263262261260260263263263263262263266264263263263261263263263264264264265265265265265266267267268266267271267271269269268267270267265263265266266268267999999999999999999999999999999999999999999999999999999999232231230229235238236240240241242243242240241239238237237235237239239239239238242246244253256256256255254251256256256253255254255256255253254255257253256256255254254255256256256253255259257256255256256257256258256250251252248251254254247248248248249248250250246246245245247246246245242242245245246246243243240245242244245242242241241238239240240241242244243241246243249250251249247247249249249246242241237236235230233234232231231232232233234234233234234234232230229231233234236235235234234235235237238236238238237237235234232233233232233236237237232237236237237237237236236235235234232230229227226223222222220219216214212210210209208206205206206206209211211211210210210210209208206204201201200199198197197197197196197197197198198198198199199200201200200202203203205206208209208208210212213214213214214214213214211207205202202201200200199200201201201201202201201201201201199199200199199199198197196197197200198198198200201202204205207208209208208208207207208209211215214216216216216213213212212210207207206205205204204203202201200200203205206205205206206207206207207208208208208209209209208206205204203201201200200200199199200201201202205207209212215223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271267265264263263262261259258256256256255254252251250250251250251251249247248247244241237236236236236237238243244244246245246246246246247247247247248248249250250250251251252253253252252252253251249244238228224224224227232237242237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999243244245245246245245245247249250252253253254257259258255254254256258256255253254251251252254255252252253254255255259259259259259257256256260258257257258260262261260259260260260260263262263263261260259262263264265266262262264264264263262262262263264264265266266266266265266266266267268266271273268270268269268271271270266265268269269268999999999999999999999999999999999999999999999999999999999233234232231230234238241242240243244244244244242243243241238240239240240242241243244249250255256257257256259257257256254255256255256255253257257256257258257255257256257256257255256256247251257257257257256256258259259257256255255255255255251251251253252251250251247250247246248249247244244245245245246246245244243246246245245240242242244242242240242242241241246243244245252250252250251251251250251249249245242239237235235234233234233232230232233234235236236236235233230231234234234236236234236236235236238238240239238236236236236236237236236241239236239239239239239239239237237236236236235233233231230228226225222221218217216216214212210208207206207208210212212211210211210212211209207203202201201200199198198198198198198198198198198199199200201202201201201201203204205206208209209209208211213214214215214214214213213212209206201201200201201201200200200200200200200201201201200199199200199199199198198199199198200199199200201201201205207209209210209208208209210211213215216218217218216215214213212211209207206206206206206206205203204206206207206205207207208208208208208208210210211211211211210210208207206204203202203202201201202202203205207209211212219223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266265265265265264263262260258257256255254252251249249250249250251248245245243241239238236235235237238237243247248248247247247246246247247246246245246248249250250251252252252252251251252253251248245238231224223224228232236248999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247245246246244244245245246249250252252252255257257254253254255256256258255253253250252252254254255256255255256257259259259258258259257258257256257258258259260260260259261261261262264263263262259258259261263265265264263263264265264263263263263264264265266267266266266265265266268266269269272271269268267269271271271271271267268269269269999999999999999999999999999999999999999999999999999999999234236234232233240244244245245247248249248247248247246243241239239237237239241244246250253257255257258260259257257253256257257257256257257257256259257258257257256256256257258257258257251254256257257256256257258259259259259259258252257255252251253253253254252250249249250249248249245248248247249249249249246246245243241242245246246242244244243242243242241244246246247247254256254250250251252251253251250250248247240243238235235235234233230229231232235235237235236235232233235236236238236236235235235236237237238238237236235236236235234236237238238239240241240240240240240239239238237237236235235234232231230228226224222221220219218216213210209207208208211212212212211211212213213212208205204203202200200198199198198198198198199199199200200200201201201202202203204205205207208208209209208211214215216215214213215215215212211210205204203202201201201200200200200199200200201200200199201200198199200200200201200201200199199199200201202205207208209210210210208208210213216217218218219219219217217215213212210208209207207207207209209208209209211211210210210211211212211210210210211211213212213212213211211210208206205204203202202202203204205207208210213215220225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266265265265265265265265263262259257256254252251249249250249250251249246244242241240240239238235238239240242247249248247247247247247247247246244243244245247249249252252253253251249250252252251249248244236226222223224230999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246247247247247244245246249251252252253255256255253252253255255256256257252250245252249252252254253256256257258259260259259259258257260256256258257258261262262260259261261262263264264263266261262258260262264264265263264265264264265264264265265266266267269266266266268268266268269268270270270269272272272269271268269270267270270272999999999999999999999999999999999999999999999999999999999999235237237236238246247248249249250250249250249250249250248247246241240239242244249250252257258258260260260259257257257256257257257257257259259258259259256254256257256256256256258256258256257256257257257257257258258258259256256257257256254256255254253253251250250249249251249249249247249250249249249249249249249246249243243245244247244244244243243243244244243247249250248251250252246252247249250250249249249248247248246241238238236234233232230228229234235235236236236234234235236235235236238236236236238236237236236236236236238238236235238235239240240241242242242241242241241240240238238238238236236234233232231229229226224223221220218216213210209209210211212213212212212212213214213209206206204203201201201200199199199199199200200201201201202202202202202203204205206206207208208209209210210213214215215214213213215216215214214210207204202202200201201201201201202202202201201202202201201201201201202202201200201200201200200201202202205208209209209210210209210213214217218220220220220219220218218215213210209210209209209211212213213213212215215215216217217217217216214213213213213214214214214214212212212209208206207204203203204205206206208210212214216223226 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266269267266266265265265263263261258255253252250250249249249250250248246244243242243241238234233235239240244247247246246246247247246247246244244244243246247251252253253252251250250252250249248246244233224222220225231999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246247248246244246244246247251252251252255256254251251255256256255254257255249247251249249250252254256257258258259259259259259259260259260259259256257258261261260261262262262262264262266264261259260261263264266264265263263265266266266266267268267266271267265270270271269271270269270271271271268269270272270269271271270270272273270999999999999999999999999999999999999999999999999253258257999239238239242247247246249249250250250250248250251251250244249249245248242243244250252256258259261259260261258261261259256258257260259259259259259258258257259260257257255255255254257257258257257257258258258258258258258257259259251257256256257257256255252252252252253252250251251249249250247249249248247248248250250250248246248245243247248247247245247249249251254255252254254252251251253251251253253251252254251251250249247244242239236235233231230231233236239238237238236236237240237237237239241237237240239236237237237236239236238237238238241241241247247244244245245244244244244242241240240239239237236235234233232231230229229225224221217215213213212212212212213213213213214215215214211208207206205203202202201200200200199200201201202202202203203203204204205205205206207208208209209209210210212215216216215213214216219218217216214211207203202202202203203202201202202203202202202203202201201202202202202202202202203202201201203203203205207209210210210211209211213216219219221221220220220220219219216214211210209210210213215218217217216216218218218217218219219220220219217216216216215215215215215215214213211209209208206205206206207207210212214215218222224227 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271264265265264265265264264264261257257255253249250250250249249248248248246245243241237232231235237238241245246245247246245247246247247246246245243246248250252252253252251251251249249248249247240233234228221225231999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246246248246247245248248249252252254254255254252252255256256256255253251247250252251252252254254257258258255259259259259258257259258260259258255260258260260260261264264262264262260260260261262264261262265266265264263264266267267266268268267268267266266271268268270269269270270275273273273271271999274272269271273274273273274272999999999999999999999999999999999999999999999253255257253243243240242249249249247249250250251252249249248250250250250247245244250251248250247256257261263263259262260261260259259258257257256256259256259259260259260259258256257258258257258258258258255258258259258259259259257258259258256256256254253253255255253253252253253253253254255253252251251250250247247249250249245248246250247247249248245248248248249250251250253254254254251252252252253252252252252253253254252251251251250250249245242238237236233233232233234237236238239237238238237238241243245246241241244242242242242242239238238238239238239241240240241245247246246247247247246245244243243242240239239238236235234233232232231228227226223220217215215213214213214216216215216216216216215213210208207206205204203203203203202201202202203203204204205204205205206206206206207208208209209209209210211214215215216215214214216218220218217216213208206205203202202202202203203205204203203203202202202203203203203203202203203203203202202202204204207208209210212211211211212215219219221222221220221221221220219218215212211211213214216218219219220219217218218218219220221221221221221221220219219218217217217216216214213213212212209207207207208209211214216218222224225228230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269269265264265265263999262262260258255252250252252251250248249248247247245242240239235236239240241243245246246245244247246247247247247246246246248249252253253251251251251249248247247245241236232228220225999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246248246249248247249247250252254254254255254253253254256255255252252251248250250252252253256257258258258259259260259259259257258260260260261259259259260260260261264263262264262260258258260262262262262262264264263264265267268268268268268268269268270271272273267272275274271274274275271270273999999274272271271271274274273271999999999999999999999999999999999999999999999251254254254250247245244250243249251250253250249253253252252250252251248250251251251254254253254255256259259263263258264265263263259262257259258253254256257258259259258258258254254258257259258258258258258258259259259259258258258258258260260256257252252252252255255255254254255252251253255255253253253251247248249248249248251247248246245248249249250250250250248250251250249253253252251251250251252251252252252252253253253252251250251250249249249246243240239238236237237237235236238236238239242243243245247248247249251250248247248246244245244237236238241240239242245245246250248247248248248247247246245245244243243242241239237237235234232231229228228223221221216214215216215217218218219219218217218216215213210209208207206206204204204203204204204205205205206206207206208208208207209209209209210210210210210212214215216217216215215217220221221218217216211210208206205204203205205205205204204203204203204205204204203203203202202203204203204202203204206208210211211212212212212215219220220222222221220221221221220220219218215214216217218219220220219220219219219219219219220220221221221222221221220221220220220218217216215214214213213210208208210211212215218220223225228229230231 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263261260258255252253254254252252253253251251249246245243240240241242242242243245246246246246246246247247248247246246248250252252252251251252252251250249248248243241238231221223225230242999241999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247246245245247248246251253256255254255255255254251255250252251251247247245248252253251254256257256258259259259260260260259258259259259260260260259260260261262261263264264262260263264259261261262262262262265265265266267267267267265269269273269274271271270269271271273273275274274273273274999999999272271272271273274272999999999999999999999999999999999999999999999999254258256256253250245249245246251251251253251252249254254253251253253253253251247251250255256256257259258260263264262263264264264262260258261258258259257256257257258257258258258258257255258258258258259259259260259260260259259260257258256257255255254254254248252255255254255253254252253252252252254254253251250250249250249252252249250248250250249251252252251250253251252251252254253250251251251252253252252253253253255254254250252251249248250251247241243242240238237237238239241241240240241245244252249251252258254252251251248248245245245244243243241242241243246246247249249249248247248248248249247247247246246246245244243241240238236234233232231229228225223219217217216218219220221221221220219218218217215214211211209210209208208208207208208207208208209210211211211209210210210211211211210211212210211212213215216217217217216216219220221221219218218215212211208206206205205206205205206204204205204205205204204204204204204204204204203204203204206208210211211211212212212214217220221222224224222222222222222221220220219218218218219220221221221220220220220220220220220220220221222222221221222222222221221219219218217216214214215214211211211212214217220221224225228229231232232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261259259257256255255256256255257257256254251251252247249248244243243243244246246246246247246246247247248247247246248250251251251251253252253253253252251250246246243237225225226230236999999999999999999263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248249247249248248251254255256255254255254252251254253252251251248250246247250251250254256255256258259259259259260260260261260259259260261260259260261262264264264264263261260264260262259261261262265263264265267267267269269271269267270272270274271271271272267270270273275274274275271273999999271274273274274277999999999999999999999999999999999999999999999999999999253253256250248248246249251252250252253253252252253254255253255256254255254252251256255258259259260259258261262262262262263263263262261260255258258258257257255255256257257257258257257258257258258259260259260261259261259259259258257258260259259260260259258250257257256255252253254255254253254254255256255255252251252250249252251250251250253251251252253252253254255255252252252252253251251251251250253252252252252253253254254254252250251249251250249243243244244241240238240240241241241243242247254256257259258258255253250252250248247246247250247245244244243245248249249250249250249249249250250250250250250249249248246246244245243241239236234231231230230229223220218218218221223223223224223222220221220221218216214214212212211210211210210211210210210211212212213212212212212212212212213212212212212212212213214215217217217217217216217220222222219220220219216214211211207206205205206204206205206206205206207205205205204203204205205204203204204205207209209211211211211212214217219221222224225224222223222223223223222220219220220219221222222222221221221221221221220221220220221222222223223223224224223223222220219219219217215215216214214213212214219222223223227229231230232232232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262259259258258257257257258258260259257257257257255999999254252249247246247248249249249249248248247245247246248246247249251252251251253255255255255253253251248247245239233233229227234236250999244246255260260255254999256264999999999999999999999999999999999999999999999999999999999999999999999999999250253251250252252255255255254253253254253251251253253252247248247247248247249250253255255256257258258258259259259261260260260258259259260260261262262264263263262262260261262263263261262266263265266267265268267266268268270269269268268271272273270271271270270270271274273273276272273999272270274273274999999999999999999999999999999999999999999999999999999999999999255249246247249248250254254253254253254253252253253252255256259257258257256256259259259260259260259260262262262262262261262261262261261259258260259260258257258256256257257256257257257259258258258260259259260259258258260261259258257258256259250260261258257258259258258259258257256256254255254255259256257256257256254253252251251250249252254254254255254256256254255252252252253252253251252252252254253251252253252255252252254253253255252254252252252251247246245243239241242242243242245251252255262261258256254254253250251248246245246245247246244245244245248249249249250249251251250250250251251252251251251251250248247247247244242241238236233231230232228224221219220223224224225225226225224224222222221220218216216215215215214214213214213213213214212213213214212213214214213213213213213213214213213214214215217217218217216216217219221223223221222223222219217215215208207205206205204205206206206205206206205205205205205205205204204204206205206208209210211211212212214217220220222223224225223223223223223224224223221221221222221221221222221222223222223223222222222222222223222222223225225225223223223222221221219220219218217216215215213214220223222224226230232233233234234235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263257260259259259259259261262262261260260260999999999999999253253251252252251252252251250249248248247245246246247247247249252251252254256256255255254253252249247240235235239232230227230237243245249255256258258261261262261999999999999999999999999999999999999999999999999999999999999999999999999999999251254256250252249256254254252252252253253251249252252252246250247244247251252252255255253257257257257258258259260260261260260260259259261263262264264263262261260261260260264265265266266266266265266264267267267269271270271271269268271271270269271271274269271274274272274274273273270272272272268999999999999999999999999999999999999999999999999999999999999999999254248243246248251253255256256255254253253254256257255254258260259259258255258258258261261261261262262262263261261262260262261261263261263260260259260259259258258258258258257257257258257257257258258259258258259259258257257257255256255256256256256256256256258257258260260260259259259255256256259259256256257257258258256255255254253253253256256256256253252253254253253254252253254252254254254252253251251252254252254252253254253253256256255254252251249250250248246242243244244244246253258263263263261259258255253253250250248247246245244245243244244248250248248250251252253251251251250250251251251251253253251252249249249249247243242239238235233231230228224221221223225226226226227227227227226225224224220220219219218218218218218217216216216215216215215215215215215214215214214214215214214214214214216216217217219218218217217219221224225224224223225225222220219218213210207206205206205206206205205204205204204205204205205204204204205206206208209210210211211212214216219222223224225226226224223223224225225224224223222222222221222222223223224225224224225224224223223224224224224225226226225224224223222221221221221220219218217216215216221223221223227228232234235235235236236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262261259259259259260262263262263263262999999999999999999999999999254254254254254254253251252251250248247246245245246246248251250252254257258257256254252251252249245241242240237235235231235240245251255254255254255258259259999999999999999999999999999999999999999999999999999999999999999999999999999999999255254250249248254254253252253252252253254253250250252252252248250251250251252254256256256256256257257258257257258259259261260260258259262263264264263262263263263262262265264265266266266266264265266266269266271272273274271270268269270269268272273275273272272271272273269273274271269270271264999999999999999999999999999999999999999999999999999999999999999999250251245245247249252256253253254256255254255256257258257259261261260260260262263263262264264263263263262263261262261260261262262263263263262260261260260260261259261261260260259259260259259259259259259258258259260257257257257258258260259258260260259260259259258261261262262262260261260259259257258257258259259258258257256256256255256257258258258258259257256255251252252255253252254254253248250250250250251252252252253253254254254254255255253253252251252252246250247247246245245254261264264264264262261260255256253250249249246246245244246246245250252252252251253256253255252251251251251251252252253253253253253250250250250247246243241240238235232231229225221223225225227226227228227228228227227226225224223222221221221221220220219218218217216216216216216215216216217216215215215216216216216216217217217218219219218218219220221224225226227226225226225226223223222217215211209207207208207206206205206205205205205205205205205204204206207208210210210211211212214218220222224225226227228227226224225225225225225224223223224223223223223223224224225225225226225224224224225224224225226225225225224224223222220220221220220219218216216218222224223225226227230233234235236236236235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261260260260260261261262264263264265264262999999999999999999999999999999999253254254253252251251250249248248245243243246247250250250251251256258257256255256255253252251248244244243240237236240243248253253249248250253256257258257252252999999999999999999999999999999999999999999999999999999999999999999999999252254250249252252252252252252252253254254254253251251251251253253251251249252254255255255256258257258257256256257257259260258258259261265265264264262261264265264262265262263265266266265265266267266267268270271273275273270269267269267269271271270274274272269270271271269271271271268266269999999999999999999999999999999999999999999999999999999999999999999999999249245253255252256253251255256260258257261258256257261263264264263264263264265264265265264265265264265264263262263265262263264264263264263261262261260261261262262262261261260261261260260260259259259258259259260258258257258258258258259259259260260261261260262265264264260264260262261259258260260260260260261261260259257257257257257258258258259260260257255254254255255255253254250254251254254253251251250251251252254254254254253254254254254252252252249249250251250249248247253261264265265265264263262261261259255253250250248247246246247248250253254254253252253255256257253252252252253253254255253254254252252251250249248249247245242240237235233232229224223225226226227227227227228228228228228227227226225224223223224222222221221220219218218218217217218218219219219219217218218218218218218219220219220220219219219219221223224225226227228228227227227225225225225222219217213211210208208208208207206206206206206206206206206205205207209210211211212211213217219222223225226227228229229228227225225226226227225226225225225225225224225224225225226226226226226225225224224225225225226225224224223223223223221221221219218218217217219223224224224225226227230233236236237236235234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260260260261262263263263264264264264999999999999999999999999999999999999999999999999999999999999999999248246241241242245247250249249251251252256257257255255255255254253251249249249245241241244247250250246243243248249251252252999257999999999999999999999999999999999999999999999999999999999999999999999999999999249249250250251252252252251253250254255255254255252251249250254252251249250254254256256257256257257255255256256257258257259260263265265264263263262261265265263263266265265264263265264265267266267267268269272270274272271269266266270270271999999274271270271270272271268270270270269271999999999999999999999999999999999999999999999999999999999999999999999999999253254255257259260258257256256260259261263262264265266267267266265265266266265265265264264264264263263266265266265265265265265266265264262264263263262263264263263262263263262263262262262261260260259259260259260259260259259258259260260260260262263262264264266266266264261264263263261261261262262262261261261261261260259259258258259259259260261262262256254255254255255255254256255255255254254254252252254255250255255255254254254254253252253254252250250250251250251250249252261265265266267267265264264263263261259255253252250249247246248248252253255255254254255254252254254254254255256255256256256254254252252250249248248248247246244242239237235234229224225226226227227227227227228229229229229228227227226226226225225225225224224223221221220220219219220220221220220221220220221221220220220221220220221221221220221224226226228228230228229229229229230227227227227227227225221216215211210210209209209208208208208208207207208207207209211212212212212215219221223224226227229230230230230229229227226227228227227227226226225225226225225225225225225226226226225224225224224224224225226224224223223224222222221222219219219218218219223225225224224226227228230234236237237236236235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261260261263264264263263263999999999999999999999999999999999999999999999999999999999999999999999999999999999235241244247249252252252250251254255256255255253254255255253250248249247244244244246244241240241242243244246246249255259259253999999999999999999999999999999999999999999999999999999999999999999999999999245245248250252250251251251252255254255255256255254252250253254255250252254255256256257256256256255256259257259258259260263264264264264263264263264264264263265266265264263263262263264265265267268268270270271274272269268266266999999999999999270268269272271273275272270270272999999999999999999999999999999999999999999999999999999999999999999999999999999999254254249254260261260258259261262262264262266266267268268266267266266264266267267265264264264264266266267266268266266266266266266265266266266264261261264264264264263263263263264263263263262262262261261261260261261261261261260261261262263263265264265265267267266265264262262263261262262265264263263263260262262262262262261259259259259261261261260258256255253256255255256257256256255255254254254255254255255255255255255253253254253251253254254253253253252252251251251251258265264266266265266266267265266265263261259256254251250248247248248253255256256256254252253253254254256257258257259257256257255254252251250250250249248247245244243240237235233228225226227227227228228227228228228229230230229229228228228228228228228227226226224223222222222221222222222222223222223222222223223224223223224224224224224225225226227228229230231233232232232232231230229229229229229229229227225221216213212211211210210210210209209208208208208209210212212213213216218222224227227228230230231231231231231230228227227228229228227227227227226227226226227227227226226226226225225225224225225224225225225224224223223221222222222220221220220221222224225225224226226227228230234236238237237238236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260260259260261261261260261999999999999999999999999999999999999999999999999999999999999999999999999999999999233241243246247250251251251249251253254253253254254254254253250248248248245245245244244240241238238239241241242245249256258253999999999999999999999999999999999999999999999999999999999999999999999999999245247247249251250250251252252254253256256256253256253251250253253253253253254254255257256257257257258259261259260262265266267266265263263264264263264264263264265263263263261263263264265266266267268269272272270269266267264999999999999272272270269269271271274277273273268999999999999999999999999999999999999999999999999999999999999999999999999999999999252254255253253259256258259263263264263263265268268268268269269271269269268268267267266265265264266266266265268269269268268266267268270269269265266266266265265265265264263263263264265265264264264264263263262261261262262262262263264265266266266265266266267267267266265265264264264263263265267265265265265265264263264263263263262260261262262261262261258256256256256256256257257257256255254254255251252254255255255255255254252252251252252255254252251252252252252252250249256263265266264263264264264266266267266265264261258257254252250248249249254258258257256255254254255256257258258259259260258257256255254252252249249248248248247246244243240238235232227227228229228228228228228227228228228229229230229230230230229229229228228227227226225225224224224225225223224226226226224225224226225226228229229230229230231231232232232233234236236235234234233232232233232232232232231232231229226223220216214213213213211210210210210209209209209211212213214216219222226228229231233232232232233233233233233231228228229229230229228229228228228227228228228228227227226226226226226225225225224224224224224222223223222222223222221222222222222224225225225224225226228228230234236237237238238236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259257258258258258999999999999999999999999999999999999999999999999999999999999999999999999999999999235236239241243247248251253252250248252254254254253252251250252249248247246247245243246242239238237236238237240241243248253257999999999999999999999999999999999999999999999999999999999999999999999999999999999246249250252251252254254253253255252256256257256253250251253254252254254255254257258258257256256258259261261261263264265265266263263263264262263263263264265264263262262263263264265266266266267269269271269271273268266267999999270268270270267269267268271273275273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254256257258259258259262262264266266266267267268268268269269269269269268268267268268267264265267271265267268270270270271271269269272270270269269267268267267267267265266266265264266266266266265265266265265265264265264265265265264265266266266266267267268268267269268266265264265266266267267267267266267266266265265265265265265264262262261262263262259261258256256257256256257257257256255255254255253255255255255253253254253252253250255253254250251249249250250250251249256263265266266264264260264264264264265266266267264262261257254252251251252256260259258257256255254256259259259260261260259258257256255253252251250247247248248247246245243240238236231228228229229229229229229229228228229229229229229230230230229229230230229229229228228227228227226227227227226227227227227226226226226228229231232233233233234234235236237236235238238238237238237236235234235234233233233233233232232231230226222219217217215215214213212212211211211212212214215217220223227229231233234235234234235234234234234234233231229229229228229229228228228229228229229229228227227225225225225225225224223224224223223224224224224224223223222222222222224225225225224225225225226227229231234236238238237238238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233236239240243244249250250249248247251252253253253252247250251250247247247247243242240244243241237234235237238240243246252256257999999999999999999999999999999999999999999999999999999999999999999999999999999248251252253252254256255254254254255256256257255253254256254256252255254256257257257258257256257258259261261260264266266265265264264263264265264265265264265264265264264264264262265266266267267269269271271272269266270265261999999999267263269268270270273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254252254257260259262263264267266268268270269269269268268269269270269269268270270268271269269269271269271270271271270272272272272274271271271270270268268266267268266267266267266265265266266267266267266266266265265264265265265266266267268268268266267267268268267266264266266266267268268269267268269268268267267267267265266265265265265264263263263261257255254254255254257257257257253254254256256256255255255255255255254254254254253254253255255255255250249250252250254263266265265264263262262263262264264265266267266264267262260255257255254255258258259258257257256258261262260261261262261260259258256255254251251249247247248248248247247243241238235231229230230231230230230229230229230230230230230231230230231231230230230230231230230230230230229229229228228228229228228228228228229230232233233235235235236237237237237237239238239240239239239239239238238237237235235235236235235234234233230228224220219219218217217215215214214213213216217220221223227229231233235236235235236236236237236236235234232231230230229230229229228228228229229230229228228226225224224224223224223223223224223225224225224223223223222222222223224224224224223224224225227227229230231234237239239238239238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234237239241244246248248249252251248250251251250251249248251251250247245244243242243242241239234233231233233233237240999248999999254999999999999999999999999999999999999999999999999999999999999999999999999999250251252253253255256255254255255255256255256256253257258255255255259258258258257258257257258260259259261261262267266266267266266267266266266266263265265266266265265264262264261265266268267269270272272273273268267270269263999999999267268269266999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254251254254261262262262264265267267268268267266268269267264264271269269272270271270269271272272272272272271272271271273274274270272273273273273272273269268269269270269267268267267267267267268268268267266266265266266267268269269269268268268267268267267267267266265265267268268268269269269269269270271271269269269267267268267267266266265264263264266263259256253254255256255255254255255255255255255256255255255255256255255255254253254256256255255255255250249250250255261265265264263261260261261262262263265265267267268268266262259261261261261262260260260260259259262263263262262262262262261260258258256256254252251249247247249250249248247245242239235231231232232231231231231230230230230230231231231231231231232231231231232232232232233232232231232232232231231230230230229229230230232232234237237238237238238238238238239239239240240240240240241241241241240240240240240239238238237236236235234232230227225224222222220219219217217217220221223224226227230232234235237237236237237237238238236236236235234233232232230231230230229229229230230230229228228226225224224224224224224224224224225224224224224223223222223223223224224224225224225226226227229228229231232235237239240241240239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258258257252249999999238240239239242245247248249247248248251250252255253254252250252252251249246245241243243242240236235229230232233234999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250252253254254256256257256256256255250250251252254257257258255251257258259257257256257257258259261261263265267268267267267267264265265266267265265263265263264265265265263261262263265266268269270270272275271269266270269264999999999268271270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254254254256257262263264264265265266267269269270271269270272272270274276277276277277270275277274272271271274273272272272273266266272271273274274274273273272271271270271269268268269268268267267267269269270269267267266266266266268267268268268267266267268267267267268268269270270269271270271271271272272273273272272271271270270269268267267265265264265266263260257255255257258257258258255256256256256256256256256256256255255255255254252252255254252255255254253252249256264266265265264262261260260262262262264265266267267269271268265267265263262262262259261262259260262264262263264263263263263262261259258257256254252251250248248250251250250248246242239234232232232233232232232232231232231232231232232232232232232232232231231232233233233233233233233233234234233233232232231230232231233235237237238239239240240240240240240240241240241241241242242242243243242241242241241241241240239239239238238237236233232230228226225224224223222222223224226228228229230233234235237239238237238238238239238237236236236235233231233231231230230229228230229229229228228227226226225225225224223224225225225224224225224223222223222223223224224225225226225226227227227227228230232233236238240241242241240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261260259259258257251245237238239239239241244246245246247247248251252254255253255253252253250252252252249247249245245243239236237233233234232233999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254255255254255256258256257257258255256255255255257256258258259254257258260259256257258259260260262266266268268267267269268267266266266268263265266266263264264265263263264262261263263267268268269270272271271271270269999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253254255256258263264265264266266267268269270270271271272273275274275278279277276276279280279275273273274273272271271275276274272272274273273273275275275275272273273272271270269269268269269269270269270270269268270269267266267267267269268268268268268269270269269270270271272273273274274274275275275275275274274273274274272270272270269268268267265262268265264263259259258258258258258259257257256255255256256256256255254254255254255254256251256256256253254253252258263267266265262260260260260261262262264264265265269269271270270268269267264263261259260261263262264263264264265265264264264263262261260258257256254252251250249249251251252251248245242239235232232232233232232232232232232232232232233233233233233233233233232233233234234234234234234234235235235235234234234233232233234235237238239239239240240241241241241242242242242242242243244244244244244243244244243244243242242241241241240240239238236236234233232231229228227227227228228230230231232232235236237238239239240239238239241240238237237236236234233232232231231230230230230230230230230228227226226225225225225226225226226226225225225224224223222222222224225225225226225225226227229228229229231234234237238238241241240240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263263262261260260259258255251245241239240240241243246246244245249250252254255256256253252253254254252251252252249247253248248246242237236237235233235240245999244999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253255255255255256258259259259259259259258257257258258259261258257256256256259259256258258259260262266265266265269268268269265266263267267266266268266266264266266265266265267267264264266267266270270272270274273271274269999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254255256258259261262265265266267268269270270270271272272274275276276276278277276273277279281280277276276277277279279279279280279278277278278277278277277277277277276276275273272271269269268268268269268269271270270271271270270269270270270271271269270270270270271271272273274274275276276276277277277277277278277278277276276276275275273270272271269267267269267268266264262260259260259259258257257256256256256255256256256255256254255255255254254254254255252251253259264266266265263262260260261262262260260263265266269271269271270270268264268261263262262263264264264264264259265266264265264264263262261260258257256253252250250250250252252252251248245242238233232233233233233232233232232233232232232232234233233234234234234234234234234234234234236236235236236236236236236235234234235236237239240240240240240240241242242242243243243244245245246245245245245246245245245245246245244244243242242242241241240239238237236236235234233232231231231231232234235235235236238238239242241241241239241241242240238237237236235235234235234232231231232232231231231230229228227226226226226227226227227226226226226226225225224224225223225225225224224225225227230230230229229231235236240239240241242241239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261261263263262261262261260259255251248246246245244248248250246247247251252254256257257255256254256255255254252254256252252248253253253251247245243243240239241244243255999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253255256256256258260260259260261259261261259257259260260260259259258256256256256257257259262261265268270267268266269269270268267267266266264265268267266264266266265264268267268265265270269268269267268274274272272271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255256256260260262264264266266267267268269270271271273275276276276277278276276277279280279277278280279277278276278278277279279280280278279280280279278277278277278279277277276275273271268269269268269270270268270269270270270270270270271271271271271270271272272273274275276276276278279279280280280280279279280280279277277277276277276274273273272270269268269261268268267262264262262262261258258259259257256256257257256256256255256256256256255253254254255256258262264267266265263262262261261263263263264265266266269271272272272272271271270269261265263264265264265266264263265266267265265264264263262261260259257254252251249249250251252252252250247245242237234234234233233232233232232232232232232233233233233233233234234234234234235234234234235235235237237237237237236236236235235236238239240240240242242241241240242242243244245244245245245246245246246247247246246246246247247246245245245244243242242242242241240239238237237237236236236235237238238238238238239240240240242241242241240241241242243242240238236237236237236234233232232232232231231232231229228228227226228228227228228228228228228228227226225225225225224225225225224224225225227230230231231232233235237239239241241242242241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261262262262262262262261261259257256253250251250248249246246247249251253255256256259256257257255258257255255256254254255253252252253255255251250247245239242240241241253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254256257256258257258260260259259261262262261259259259260260260260258259258258258259260260262264267269270268271269270266269271268268266265266264267266264265265267266265269269265266270271271271271268269272273271270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259258259260260261263265267266267267268269270271272274274274275276277278277277281282283280280275274276279280280281280280280281281281281279281281281281280279279279279279278277278279276272272271271271270269269269270270270270270271271271271272272272272272274273274276276277278279280280280281281281280281281281282280279277279279279279278277276275273274272272269268270269269268267266265264263263263262263261262261261261260259256256257257259258257256258259259261264267267266265262262262262262262264264266267268269270270272272273273273272272271271268268266267268267267268265265266266266265265265265263261261260258257254251250249249250251252252252250248245242237235234234234234233233232233233232232232233232233233233233233233234235235235234234235235234235235236237237237238237237236236238240241241243243243242241242242242243245245245245245245245245246246247247247247247248248248248247247247247246246245244243243242242242241240240239239239238238238239240239240242241242243242242241242243242243243243244244243242240238238237236233234233233232231230230232231230229229229228229229229229230230230229229229228227226227226226226225226227226226227227229231231231232232233234236239241241242242242242 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259260261262262262262262262261261260258258256255250252250248248248249256254255257258258259259259257259259256255258258255252255251251257254255255253257249245237240240240243247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254256260258258258258259259257258261263266262258261260258259261261261261260259260260261263264265269271271271268269270267269271271270267264266265266264264266264266265264265270269266267267273272271269268272273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260259261262265265266267267268268269270271271272272273274276277277278279282279283283283283281278280279283284283282283282282282283281282281281282282281282281280280280280279280279280280277275274273274273272272271271270270270271272272272272272273273274273274275276277279278278279281281282282281281282282282283280280282282282282281280279278280279278276275274272270271271271269269269269267267267263265265265264264263263262261261260260259260260260260260262264265266267266265263263263263264264265266268269270271272272272273273274274274274273273272270270269267265267268268267265267266266265265265265263262261260258257254251250250251250252253252252251249246242237235235235235234234234233234234233233233234234233233233233233234235235235235235235235234234234235237237237238238238239237238239241242243244243243243243245244244245246245246246246245246246246246246247248248248249249249248248248248247247248247247246246245244244244243243243242241241241240241242242242242243243243243242241243243244243243244244244244243242240238238236235234234234232232231230231231231230230230230231231232233234235234234233232231229228228227227228228227228228229228230230230231232232233234234237239241242243243243243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258259260261262261261261261261260258258257256254253251248248252251253256258260259259260261261261261260259256256259258255255255257257260255256257257257252249242238239244246250248999999999999999999999999999999999999999999999999999999999999999999999999999999999999256257259259257258257259258258261266267265264264262263260260262263263262261261260260263266266270271271271270268271999999271272269268269268265265265264267267265266266264265270271269267268274274273273271271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260262264265266266267267266268269268270270271272271273274276278279281282282284285284282283285287286285287284284285285284284283283283284283283282283283282282282282281281281279280280279279279278276275275274274273272271271271272272272272272273272273274275276277278279280280280280282281281282282281284283284282283283285284284284284282281281280281280280278276274273273272273273272271269270270269268268268268267266265265264264265265263262263264264263264264265265265265265264264264264265266267268270271272272273273273272274275275276275275274274273272271270270269270270268269269268267266265266265264263262261259258256255253252251250251251252253252251249247243238236236236235235235234234234234234234234234234234234234234234235234235235235234234234234235235236236236237238239240240240240240241243245245244244244244245245245246246246246246246246246246246246246247248248248249249248248248249248248248248249248248249248247247245245244244244244244243244245245244244245244244245244244243244246245245245245246245245245243242240238237235235234233232232233232232232232231231231231232234235235236236237237237236236236235234231232231231230232232231231231232232233233234234234235237239241242244243244243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260999999999999254257259260261261261261260260259258257254254251248247246248250251252254257258259259260263262262262261259258259259258255254255258258257257257257257254250247244241238245250253253999999999999999999999999999999999999999999999999999999999999999999999999999999999999256257258258258257258256260260262266268267267265265265265262263264264264263264264262265267269270270269271269272271271274273272272272271267266266264264265265265264264265266267267267274271275276273274274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261265266267267267267268267264267269269269270271273274276277278280282284285286285287286284284285287287286285283285284283284285285284285283283284283284284284283282283282282281280280281282281280279278277275275275273271271271272272272273274275276276276278279279280280280281281281281282282283284284284284284284282282285284284284284285283283281283282282281280278276275274273275273271270270270269268269267268268268268267267267267266265265265264265265264265262263264264265264264265266266268269271273274275275275275276275277276276276276276276275275273271271271271270268266267267267267265265266265263263261260259258256257255254253251251252252253252251250248244240238237237237236235235235235235235235235235235235235235235235235236235235234235235235236235235236236237238238239240241241240241242244246246246246245246246246246246246246246246247246246247246247247247247248248248248248248248249249249249249249249249250250249249248247247247246245246245247247247246247248247246246246246245247246246246245246245245245245245243240238236235235234235233234234234233234233232232232232234235237237237238239239240240240241240240239239239239239238238238238238237238239238238237238239240241241245245246245245 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262256255253254255258259260260261261261259259259258255253252250250250250252253255257257257258260260261261262263263261260260260258257256257258259258259259258257254252250245237237244247247251253260999999999999999999999999999999999999999999999999999999999999999999999999999999999257257256257257256256255258259261266267266267266267266264265264265265267267266266265266269270271268271272271272269273275273271272272269268265264264265266264265264263265266268269274276277275277273275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262265267266267268267265264266268269270272274276277276279279284285286287288287288287288288288288287284285286286286286286286286286285285285286285285285284284284284283283282282281281281282281281280280278277279278277276275274275275274275276277277278279279281280281281282283284286286285285286285285285285286286286285285284285285285285285284284284283282281280278277275274274274273271270270269270269268269269268268267267267266267266265266266266264266266265265262264266265265267268270271274275275276276276276277276277278278278277277277277277276274273271270269270269267268268267267265265266265264263262261259258257258256254253252252253253253252251250249246243241239238238237236236235235236236236236236236236236235235235235235235235234235235235236235235235236238238239240241241241241242244246246247247246246246246247247247246246246246246246247247247247247247247248248248249248249249249250250249249249250249250250249249249250249248249247248248248247246247248248248248249248248248248247247246246247246246246246245243240238236236236236236235236234234234234234232233233234236237238239239240240242242243244244244244244245245244245245245245245245245244244244244243243243243243243244245246246246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255256256256256258258258260260261260261261259258257254253253250250252253254256257258259260261262261261262262262262261261261260259260255258258259258258258259258257252248241240238240240244251252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255257257258257259258260261265265267263265267268267266266265266267267266267266267270270270269272274274275273273270271272272272271270269269267264267266265266267267268272271276275275275276276274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263264265266266267266264265267267271274276278279279280282285287287288288289288289287289289288286288288287286287287286286287287287287286285286286285286285285285284283284283283283282282281281281281281282280280279278279278277277277277277277278279280281281282283282283286286285286285285286286285284284284286286285286284285284283285286285284285284284283282282280278276274274272271272273272270269270270270269269269268268267267267266266265266265265265266266265267266267266268269271273275276276277278278278279279278279279279279277277277277276276273272271270268270268268269268267268268265266265264263262262260259257257257254254253253254254253252251251249248248244243241240239238237237236236236236236236236236236235235235236236236235236235235235236236237236237238239240241242242243243243244247249249248247247247247249248247247247246247246247246247247247247247247248248249249248249248249248249249249249250249250250250250250250249248250249250249249249248249248249249249250250250250250249249247248249248248248247245243240237237237236236236237236236235235235235235235236237237238239241242242243244245246247247248248248248248249249249249249250249249249249248248248247247246246246245245245246246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257255257257257258257258260260259260261261259257257257256255255254253253254254257259260261264262264261264264262262262261260260260262261259261261260261258259257258258248245241238240239239242245254256255999999999999999999999999999999999999999999999999999999999999999999999999999999999257256257255257257258258258262264266262264266268272269269266264266268268267268269269271272270274275274275275274274275276275270273270272271268267268271270267268269271271273273273275276276276273271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265265265265265264266268270270274277278281283282282286287287287288287288289289289290289289289289289289288287287287287287287287286284286286285285286284284284285284284283284283283283283282282282282282281281280279278279279280280280280280280281282282283283283284285285285285285285286286287286285285285286286286287286286284285286285285284284284284282282281280280278277275275275274274272272270270270270270269269268268267268268267267267266267266267267267268269268270270269271271275275277278278279280280280280279279279279278278277277275274273272271271271269271270269269266269268268267267266265263262261260259258257257255254253254254254254253252252250252250248246244242241240240239239238238238238237237237237237237237237236237237237236236236236236237237238239240240242242243244243244246248249249249248247247247249248247247247247247247247247247247247247247248247247248247248248249248248248249250250250249249250250249250249250249250250250250250250249250250249250250251251250250249249247249250250250249248248246243240238237237237237238237237236236235236236236236236238239239241242243245246247248248250250251251250250251251251251252252252252251251252251250251250249248247247246247247247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259257257258258258258258258260260260260260260259258258257257256258255255255255255258259261262264265263262262262262262261262262261261264261260260260258258256254253253251248246241246241237240246248254253999999999999999999999999999999999999999999999999999999999999999999999999999999999999258258257257256256258257259262266267264264263270271269268266265265265266266269270271272274274277278276275275275274275276275275274273273273273273272274273270266272272272999999274276277276277274272273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265264264264266270271273274276280281282284282285286287288288286287288288289290289290289288289288289289288288288288287286287287287286285286287286285284285284283284284284284284284284283283283283282283282282282281280280281281281281281280282282282282283284285285285286287286285286287287287287286286287287287286286282284283283285283282283285284284284283283282281280279278277276275274274273272271271270270271270269269270270270269267267268269268267268267269270271271272274272277276277278279279280280281281280280280279279279279279277277275273272270270269270270269268268267266268266267267267266265263261260259258258257257256254254254254254253252252252252251250249248246245244244242242241241241240240239239239239239239238239239238238237237237237237237238239240241241242243243244245245247249249249249249247248248249249248248248248248247247247247247247247247247247248248248248248248248248248249250250250250250251250249249250250249250250250250250249250251251251252251251250249249249249248249249249249249249248247244241240240239238238237237237238238236236236237237237239239240241244246247249250250251252252252252252252252253253253253254254254253254254253253252251250251249248248248247247247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259259258258259258258258258259259259260260261260259259260259260260258256255256256257258259260261261263265265261262262262261262261261263262261262259257257257257256254252248247247247246238237242247251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257258258258257257258259260265268268266267263268269271270268264263264264265269271271270272272277274275275274274275275276274273274274276274274274272273999999999999999999999999279279278280277275274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282281999999999999999262264264263265267271274276278279283284282285286287287288288287287287288287288290291289290289289289289288288288288287288288287288288288288288288288287287286286287285285285285284284284285285284284284284283283282284283283283284283283283283282283284284284284285285285287288288287288287288287287287286286285286286286285283282283286282283285285285284284284284283282282281280280279278276276276276275274272271272272271272271270271271270270269268271269269269269269271273274275275278279280280280280279280280280280281280280280279279279278277276275273272271267270269270269270270270268268268268267267267266264262261260259259258256257256255255255254253252252252251251252251251250249249248248247246246246246245245244244243243242241240241240241239238238240242241240241241242242243244244245245247248249250249249249249249249249249248248248248248248249248247248248248248250248248248248248248248248248248249248249249249250251250250249250249250249249250249249250250250251250251250251249249250249249249249249250250250251249247245242241240240239239238238239238238238238238238239238239239241243246247249251252252253253253253253253254254256255255255254255255255255254254253253252252252250250249249248247248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261261260259259257258259258258258258258258259260261260260261261260259260260260261261258258259258260262262263264262262262262262262264263263263264263263260260261264258259255256254250247241240242237238241247253254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255257258257256256259260263263268267264268267268264268271267265264263267269271265266269272271275272274274999999999275276273272273274273999999999999999999999999999999999999999279999278278276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281280280999999999999259262262264267268272273278281280284285286288288289288288286287287287288288289289290290290290290289289289288289288288288288288289288289288288288287287286287287287286286286286286285285285285285285285284284285284285284284285284284283283284284284285285285284286286286287288288287288288287287287287287287285285285286284285284285285285286285283284283286285283282282282282281282282281280279279279278276276274273273273274274274273273273272271272269272270268269270271273274274276277278279279281281281278281281281280279280279280279279279278277277274273273270268271271270272271271271270269268268268268267266265263261261260259259260258257256256256255255254253253252251252251252250250250250250248248248248248248247247247247246245244243242242241242241241240242242241241242243242244244246246246247249251250250250250250249249250250248249248248248248249249249248248248248247247248246247247246247246246246247247247248248248249249249249249249249249250250249249249250250250250249249250250250249250249250250249250250249250248246245242241241241240239238238239239239240239239240240241242243244245248250250251252252253253253253254254255255257255255256256255258256254255254253253253253253252251251250250249249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262261259257257257257258257257257257257258259260261261261261261260260260261260259259259259263260261263262265263266266265263264264264263261263263262264259259258256256254253253250246242238238236237239244247250999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253254254253254257259262261262264266268268267270270271272271267265269266270267270266266269270271272999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281278279999999999999261258259264267269272276279284285285285287288286287285287287287288288289289290290290291291292291289290289289289289289288288288288289289289289289288290288288287286287288286286286286286285285285285285285284285285285284284283284285285285284285286285285286286286286288288288289289289289288287287287287287287286285284284284283283285285284285285286285283286285284285284285284284283281281281281281280280278279276277277276277276275275275275275274273272272272271270272271272275276278278279280281281281281280281280280280280280280280280280280278277276275274273272271271270271271270270270270269268269268268268266265264263261261260260260260259258258256256255254255254253253252253253252252252251251250250250249249249249249250250249249248247246245243242241242242242243243242243243244245246247247247248250251251250251250250250250251250249249249249248249249250249249249249247247246246246246246246246246245246246246246246248248247248248248249250249249249249249249249249249249248248249249249249249249249250250249250250249249248247245243240240240240240240241240240240240241242241242243242243246248249250251251253253253253255255256256256256257256257258257257257257256255255254254254254254253253252251251250250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264263261258257256257256256256256256256257258259260260261260261261261260259261261261262261261263264265265265264266266265264264265264261263263263263262260259259258257256255251249251249245238237232233238246248999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250256255254255257259263263266265266268268268269271272271271269268269270269272271269269268271271271270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276276999999999999999257258261268273277278283286286287286286288289287288288288289289290290290291291291292289290293290290290290290289290288288288288288289289289289288289289289288288288288288287287286286286286286286286286287286286287286286286286285286285287286286287287286287287287288288288289288288288289289287287287285286286286285285285285285286286285285285286285286285285286282283284285284285284284284283284282281282281280281280279279278278277276276276275274274273272272272273274275275277277277279280281281282281281282282282281281281280279279278278278278277276275273272271271271270270269269269269269270270269269268268267266265264263262260260260260259259257257257257256256256254256255254255254254253253253253253253253252252251250250250250250250249248248247245244243243243243245244243244245246246247248248249251252252251251250250250249250251248250250249249249250250249249248248247246246246247247247246246247246247246246246246247247247247248248249248248248249248249249249248248247248248248248248249250249249249250249249249249248247246245242241241241241240242242242240241242242242242243243243245247250250251252252253254255255256256257257257257258258258258259258258257256256256255256256255254254253252252251251250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265265263261259257258256255255255255256255256258259260260261260261261261260261261261265265262261264265265264262266266265266265265265264265264263261262259260260258258255253250250250251249246237234230233237245244999999999999999999999999999999999999999999999999999999999999999999999999999999999999252252256257259260262263264266267268267267269269271271271271272268270270270271272272267267269271272999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273274276275999999271999999999999999259263271276278280284286286286288289288288289289288289290290291292291293292293292291291292292291291290290289289289289289289289288288288288289288289288288289289289288288288287287286287287286286286286287286287287287287287287287286287287287287287288288289288289288289289289289288287289289288288287287287287286286286285286286286286286285284284284285285284284285284285285285285285284284285285285284284282282281281281281279278279277278278277276276275274274274274276276277278279279279281281281281282281281281281281280280279278279279278278277276275274273272271270270270269270270269269269269268269269269268267267266265264263263262260259259259258258258257257257257256257256256256256256256255255255256256255256255254254253253252251251250250249249248247246245243244247246245245246247248248248248250252253252252250249250250250250250249249249249249249249249249248247247247247246246246246247247247247247246245245245246247247247248248248248248248248248248248247247247247247248247247247247248249248248249249249249249249249248246245242242241241241242243243244243243243243243243244245245247250251252253253254255256256256257258257258258258258258259259260260260258257257257256257256255254254254253253252252251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267266264262260258258257255253253254255255256257258259260260261261262262261260261264265265264262265265264265264266266266265266266266265264264264264263263261259258259260257253252252249247244239230232239240246249999999999999999999999999999999999999999999999999999999999999999999999999999999999999258256260260260264264265266265266266268270267268270270271270270268268269268272272268268268269270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275271272273999272999999999999999264267271276279282284287289289289289290288288290289289290290292292292291292293292292292291292291290290289290290290290290290290290290289290289289289289289289289289289289289289288287287287286286287287287287286287287288288288288288288288288288288288289290288289289290290290290289289290289289289288289288287287286286286286287286287284287286284286284283283285286285285285286286286286285285285286286286284284283283282283282282281281280280279278277277276277277277277277277280278278279280281281279280281280281280281282281281281279279279278278277275275273273272270270270270270270270270270270268268270270269269268267267266265265264263262261259259259259258258258258258257257256257256257257257257257257258257258258257257257257256255254253252252251250250249248247246247247247246247247247248248248249252253253253252251250250249248249250250250250249249249249248248247247247247247246246247247249248248247247247246246246247246247248248248248247248248247247246247247247247247247247247247248247248248247247248249249249249249248248246245243243243243243243244243244245244243244244244244245247250251253253254255255256256256256257257258258258258259260260261261261260259258258258257256256256255255254254253253253252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269269270267265263261259258256254252253253254254256257258259259260260261262261261262260264265265265265266267265265265266267266266266266266266265264264265263260262259259257255254252248249246245240235230233234240240240999999999999999999999999999999999999999999999999999999999999999259255255256255253256256259263263264266267265269266267268266269268268266269269270269270272272270272272272270270266999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281999999999999999999999999999999999999999999999999999282282279999999274275272274276276274275999999266271275278281283284287289290291291291291290290290290290290291292292292291290290291293292293292292291291291291291291291290290290291291291290291291291291291290290289289289289289288287287287287287286287287287286287288289288288288288288289289289289289289289289289289289289289289290290290291290290289288289288288287287287287287287287287287284286285285286286286284286286286286286286286286286286286286286286286286285286285285285284283283282281281280280280280280281281280281279281280279281281282281282282281281281280281279280281281280280279278278277274271272272271269269269270270269270269271271270271270271271270269268268267267266265265265263262261260260259259259259258258258257257257257258258258258257258258258258258258258259258258257256255253252251250250249249248248248248249247247248248248248250253254254253253252251250250250249249250250250249249248248248248247247247247246247248248249249249248248247246247246246247247246248247247247247247247247248247247247248247247247248247248248249249248248249248250249249250249248247246244244244244244244245245245245246246246246245245246248250251252254254255256256256256256257257257258259259260260261261262261261260259259258258257256256256255255255254253253253252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269271271269268265263260259257255253253254253253254256258258258259259261262264263265265265264265265267266266266266266266266266266267266266265265264264265262260260259258257256256252252250246245237234229233237241242242999999999999999999999999999999999999999999999251252999999999253260256253257256253254257261263265267267267267267269270268270268270269266269270271273272274273272272272272269999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276999999999999999999999999999999999999999999999999999282283282999999999999274276278279280279999999270272275280282285288288289290292292291291291291291291292292291292292292292293293293292293293293293292292292291292292291292292291292291291291292291291290291291290290289289289289289288288288288287287287287287287288289289289290288290290289289289290290290289289289290290291290290290291291290290290290289289290289288288288288288287287286286287286286286286286285286286286286286286287287286287287287287286286286286284285288288285288286285285284283283283283282282283283283283283283282282280282280283282282282282281280281280279279280280280280279278277276276272273271269269267269270270268268270271272271269271271271271270269269268267267267266266265264264262261261260260259259259259259258258259258259258258258258259259259259259259259259259258258258256255254252251250249249249249249248248248247249249249252253253253254253252251251250250249249249249248248247248247247248247247248248248248249249249250248249248247247247247247247247247247247247247247247248248248248248248247247247247247248248248248248248248248250249248248247249247246245244245245245245246246247247248248247246246246247248250252253254255255256256256256256257258258258258258260260262263262262262262261260260259258258257256256256256255254254254253252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269270270270268266264262261258257255255253252250253253255257257258258260261264264265265266265265267267266266266266267266266266266267267266265265266265263262261260259258257254253252252250247241235229224230237240243244244244999999999999999999999999999248999256999249249248250248253999999256255256258260261267268266266268267268269268268269267268268268268268273274272272272274273271270269999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279282283278999999999999999999999999999999999999999281285285286283999999999274278281280279281280277277277279281285287288288289290292292292292292292292292293294293293293293294293293294294292293293294294293292292291292292292292292292292291293292293292291291291290290289290290290289289289289290289289289289289289289290290290290290290291291289290291291292291290290290291291292292291291291291291290290290290290290290290290289289289289287287287287287286287287286286286287286287287286286286286287287287287287287286288287286287287286286286285284283285283283284282284281281284283283281282282282282281284283282282283280279280279279278279279278277278277278278275274272269268269269270269269267269272271271272271270270271271271270270270268268267267267267266266265264263261261261261261261261260261261261261260260259259259259259259259259260260260260259258258257256253252251251251250250250249248249250250250250253254254254254254252252251251250250250249249249249248248247248249248248248248249249249251251250250249248248248247248247247247246247247247247248248248248248249249249249247248248248249248248248248248249249250249249249248248246245245245245245246247247248248248248250248248248248249251252253254255255256256258258257257258258259259259259260261262263262263263263263261261261259258257257257256256256255255254254254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272270271269268266264262260259258257255252251251252253255256257257258260262262263264265266265265266265266267266266267267267266266265267268267266266264264262260261258258258253252251245246242234232228230240232244244246246999999999999999999999251250259255999247245247999249252244248250249251255259261264263266267264266266263268270269267269268266268266268267270271273273272271270265263999999999999999999999999999999999999999999999999999999999999999999999999999285285285285999999999999999999999999999999999999999999999999999999280279999285285282281273999999272999999999999999999284284284285283999999273279283283999277279281282282284285287289289289289291292292292293292291291293293294293294294294294294293294294294292292293293293292292292292292293292293293292292292292293293292293290291292292292291291291290289289289289290290290290290290290290290289289289291291291291292291292292292290290292292291292292292291291291291290289290290290290290290290290289289289289288287287286286287287287287287287287287286286285286286286285286287286287287287287286287286286286286286285285285284283283284285285285285284283282283282283283283283281280278280280278279279278278278279278278278278278278274271269266268269270269270267268269271271270270272271271270271271271270270269269268268267267267267266266265264264263263263263263263263263263262262261260260260259259259259259260260260260260259259258257256254253252251251250251251251250251251251251253254255254253254254254254252251252250249249248248248248248248248249249249249249250250252251251251250249249248248247248247247247247247247247248248248248249249249249249248248248248248248249249249249250250249249248248248246246246246246246247248249249249249249250250250249250249251253253255256256256257257258258259258258259260260260260261262262262263263263263263262263261260259258258257257258257256256256254255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270267267265265262262261259255253252251251251254255256257257258261261263264265264263264265265266266266264267267267267267267268265265264264265264262259258256255253253252254247238234232230225227225240234239245259250999999999999999258249999999257251999247249250249248244245250253251254258267269265265999264266266266268270268266268269270269269270271272271272271273269999999999999999999999999999999999999999999999999999999999999999999999999999999278279281280282282274999999999287289278999999999999999999999999999999999279280278276276999999999999999273999999999999999281280283279282285999275277284285283281281281285285286288289290290289290291292292292293292292291292294293294294294294294294294294294294294294294293294293292292292292292292293293293292293294293293293293292292291291290291291291291290291290288290291290290290290290290290291291290292292292292292292292292292292292292292292292292292292292292292290290290290290290290290290290290290289290289289288288287287287287287287287287287287287287286287287286286286286286287287287288288287287287286286286286288286287286286284284285284285284283283282282282282282281281281278279279279278278279277278277278277278276273275273272270269268271271269267270270269274274273273272271271270270271272271271270270269269268267267268268268266266266266266265265265265265265264263262262261261261260260260260260260260260260260261260260259257256254253253252251251251251252252252252252254254255255255255255254254253253251251250250250249249249249249249249249250250251250250250251250251250250250250248248248248247247247247247248248248249249250250249249249249249249249249249249250249249250249249249248247248248247247248249249250250250250250251250251251251251251252253253255256257257257258258259259259260259260259259261260261263262262263263264264264263263263261259259259258258258258257256256255255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268268268267266264263262259257254254254254253253254255256256258260261263263263263264264265266264264264264267267268268268265264267264264265265261260259258256257252254251246240234233230229225225229232238243999242999999999999253247999999248252248248250251253249247246248252253255258261265265265999999267268263266268270270268269269270272270270270271272272271269999999999999999999999999999999999999999999999999999999999999999999999999999279279278279279281280275272999272271283287278999999999999999999999999999999999999278278274269271272274274273272273274277277277279279282281282282282282283286284282283284285286287289289289289289289291292292292292292293292293293294293294295294294294294294294294295294294294294294294293292293292292291292292292293292292293293294292291291290290291290290292292291291291291291291290291290290290291292292292290292292292293292292292292292292292293292292292292292292292292291290290290290291291291290291290290290290289289290289289288288288288287287287287287287287287287286286286286286286286286287288288287286288285285285285286285285289285284285284284284284284283283282283282281280281281278276278278278278278277277278278279279278276272269272273269269269271271269269271272272273272274274274272271271271271271271272272271271271270269269269269269268267267267267267267267266266266265264263262262261260260260260260260260260261261260260260260260259257256255253252252252252252252253253253254255256256256255255255254254254254254252251251250249249250249250249250250252251250250250251251251251252251251251250249249249248247247248248248248248250250250250250249249250249249250250250250250250251251251250249249249249248249249250251251251251251251251250252251252252253252253254255256257257258257258258259260260260261260260260261261262263263262263264264265265265264263261260260260260258258257257257257256256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267267267266265264264261259258258258257262261263260263262262260261262264264261265262264264264263264265268268268268268268267267265264264262261261260257256254253250245236235232232226221233229999999999239999999241242240248242242247999246248246243247249251252251252254257260263263264266266999266267267265267270270271267269270265271272269269268268269266999999999999999999999999999999999999999999999999999999999999282280280282999279278278277278281282281279999276275276281287999999999999999999999999999999999999999999999268271277277280280280279279279279280281283282283283284284284285285284286282283285287287289290289289291289291291291291292292293293293293293293294294295294294294294294295295295294294294294294294293293293293293293293293293293292292293293292293293292292291291290292292291291291292292292292291291291292292291292292293293292291293293292292292292292292293292293292292292292292292291291290290290291291291291291291291290291290290290291290289289289289289288288288288288287287287286287287287286286286286286286286286286287287286287287286282283286287287285286284284284285284284283282282278278278279278279277277277276276278278279278279279274273275275274273273271271269272270269274271273273272272275278277273272272271271272272272272272272272271271271271270269269269269269269268268268267267267266265264263262262262261261261261261261261260261261260261260260259258257255254252253253252253252253253254255255256256256256256256255255254254255254253253252251250250250250250250251251251251250250251250251252252253252252251250251250249249249249249249249250250250250251250250250250251250250250250250250250250250250250250249249249249250250251252253252252252252252252252251252254254255255256256257257259260260259259259260260260261261260260262262264263264264264264265265266265265264263260260260260260259259258257257257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266265263262262262262262262262262262262261261258257261261262263262264265265265263263264268266265265269268268264266263263264264262260258256254255250245240236246228228227226230228233235236239237241242237237242244247247245248246246247250253253254258258260263264266266267266268265266267270271270271271271271272270270270269999999999999999999999999999999999999999999999999999999999999999999999282280279278279280999999999999999279277277280999999273274999999999999999999999999999999999999999999999999999274265273276280280282282281282281280282283284284284284285286287287286286283282284286289289288288289289291292291291291293292294294293294293293294294294294295295295295295295295295294295295294295295293293293294294294292293293293293294294293294294294293293293292292292292292292293293292292292292291291291291291291292291291291292293292293292292292292293292293293292291292292293292292291291291291291292292292292292291292291291291292291291291291290290290290289290290289289288288288287287287287287287286286287287287287286285286285287287287284284287288286285286285284285284284283283282280279279279278277277274276276274277278280279279277275275275275274273272269272272270271272276274273271274275276279276274274273272272272272272272272272272273272272272272271271271270270269269269269268268267267266265264263263263262262260261261261261261261261261261261260259259258256255254254254255254253253254254256257257257257257257256256256255255255255254254254253252252251251251251251252252252251252251251251252253253252252252251251252251250250250250250250250250250250250249249250250249250251250251251251251251250250250251250251251251252252253254255254255254254254254253253254256256256258257257257258259260262260259260261260261261261262261262263263263265265264265266265266265265264263261260260260260260258259259258257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266266265264265265265266266266266269268264265261260259261263262262263264264263263263264265264265266266265269264264265265264264263261258258260255249245243247235232232228236238235233232239232234234234232238234238237243245248248249250252255257257258259262264264270268269999266269269270271272272271271270272272271269269271999999999999999999999999999999999999999999273268268999999274273999276279281282283281999999999999999999999278279274999999269278279999999999999999999999999999999999999999278277279274268273279282285284283281281283280283286286286286286287287288288286285284285287286289288289291288288289288291292293293292292294294294294294294294295295295295295294295295294294294295295295295294294294293293291293292293292293294294295294294294294294294294293293293292293293293293292292292292294292292292291292293292292292292293292292292292292292293293293293293292293293293292292292292292292293293293293293293293293293293293293292292292292292292292292291292291291291290289289288288288288288289288287287288288289288287284284285286287285285285285286285285285285284284284283282281280278279279276278281278278280274278279279277278277277278275274275275273269272270270272273278274273274275276275275275275275275274272272272272272272272272272273273273273272272272272271271270269269268268268268267266265264264263263262261261262261261261261262262261262261260259259258258256256255254254255254255255257257257258257257258257257256257256256256255254254254254253253253253255255254253253253253253252253252254253252252252253253253253252251250251250250250250250250250250250250250250250251251251251251251252252252252252252253253254254255255255255255255255255255255255255255256257258259258259259260259260262260260260261260261260261262262262263262264264264265264265265265266266264263262261261261261261259259258258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266266266266266267267268268269269269270269268264261259261262264264264264264264261262263262263264266266265264264264266267265264264263259263257252247244242240236236235241240237232236237238237241241236235236240240239240246248248249250252251251253262264264264267269269270999269272272273272273272272271272268270270265264269999999999999999999999999999999999999999275275999275999268267270276276280281282286283999999999999999999999999999271270272274278280999999999999999999999999999999999276277279281279280276275285285285282285285286285285286286286286287287287287287286286285286288287288288289291290290292293293293294294294294294294294293294294294294295295296295295295295295295295296295296295295295295294294294294294294294294295295295294295296295294295294294294294293293293294294294293293294294295293294293293294292293293292292292292292293293293293293292292293292292293293293292293293293293293293293294294294294293294294294294294294294294294294294294293292292292292292291291291290289289289289290290290290289289289288288286286285285286285285285285284285285284285285285283283284283283280284283277280281281280279279279279279277277277277276275274274273273272270271274274273275275276275276277276277274275276275275274272272272272272272271271271272273273273273273272271271271270270269269268268268267266265265265264263261261261261262262262262262263263262261260259258257257259256255255254254255256257258258258258258257257257257256256256255255255254255256255255255255255256256256256256256254255253254253252252253253254254254253253252253252252251251251251251251252251252252252252252252253252253253252252253253255255255255254254254255256255255255255256257257257256257257258258258259260260261260261261262261261261262261261262262261261263263264265265265266265265266265266264263263262262262261260260260259259259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266266268268268269269270270270270269270269266264260257259263264263263263261262260261262263264265265264264267267267266265265264263263265262258249247244243242242241246248242242239240242239241243241242239241241248248250254255256254254257262259265266264267267267266266271272272273273274272273270271271270270269268267267999999999999999999999999999999999999999277275270266263264265999999283280282280286999999999999999999999999999999271271274274277280999999999999999999999999999999999275278279278282284283282286285286286286284284285285286286285286288288288287287287286288289288289289288290289288291292293292291291293293294294293295294295294294295295296296295295294294295295296296296296296295294295294294293293293293294294295294295296294293294296296296295294294294294294294294295295294294294295295294293294292293294294293292292292292293291292293293293292292292293293292293293294294294294293294294294295295294294294295295295295295295295295295295294294294293293293293292292291291291290291291292291291290290290290289289288287286285285285285286285286282282284284283284284283282281281281282280281281282281280280279279278278277277278274275274273273272271271272274274274275275277277278276276276276276276276276275275274272272273272272272272271271272272273273273273272272271270270270269269268268268267266265264264263262262262262262262262262263263263262261260260259258260260259256256255254255256257259259259259258258258258257257257258257256256256255256257255257256256256256257257257257257257256256255254253254254254254254255254254254253252252251252253252253253253253252252253253254253254254254254255254254255256255254255255255255256256257256256258257257258258259258259259260260261261261261261261262262262262263262262262261261262262263264265265266265265266266265266265264263262261261261261261259259259259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266269268269269270270272272270272270269270268265261259259263263260260262263260259259260261262264264264264264263267266265265265265264265264262258252247249249250250252253248247249245244239243242241243249247250251251251254255257255257259264265267267268269271271271270271274274274273272271271271271271270269267267999269270272270999267269269271273272999999999264274266262263260999999999283999999999999999999999999999999999999999999999270272275279999999999999999999999999999999999274276278278277281283284282285286286286286284284286286286286286286287288290289288288288288290290291291290290292292292292292293292294294293295294294294295294294295296295296296295294294293295296297296296296296297295296295295293293294295295295294293293293294294296296297295295295295294295295295295295295294294295295295295295294294294293294293294294294294293293292292292292293292292292292292293294294294295295295295295295295295295295296295296296296295295295296296296295294295295295295293293292292292292291292292292292291290290291290290290289288287286285285285285285286284284284284284283284283283282283281282282280280278281280280280279279279278277274274274275274273273272271273274274276277280277278278277278276275275277277277277276275274273273273273272272272272272272272272273273273272272272270270270270269268268268267266266266265264263263263262263263263263263263262261260261260259259260260256257256256256257258258259260259258258258258258258258258258257257256255255257256258257257257256257257258258258258258258258257256255255255254254255255254255254254254252252253253253253254254254254254254254254255255255256256257255255256255256256256256256256257257257257259258258258259259259259260261261262262262262261261262262262262263262262261261261262262263264265265266266265266266266265265264263262262262261261261260260259259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267267268269270271272272271270270271271269265262261259260260259260260257257258258259260261263263263263263264262267265265265266266262261266263259259253257256252256254252251250251252248247252255255254253255257258259258261267266264266268270268268271273273274274274273274274273271999270270270271270269270999999999999999276272267271270268270271271269266257260258260262260999999999999999999999999999999999999999999999999999999999999271276280282283999999999999999999999999999272273277276277278279282284283285284284285285286285286286286286286286287288288288287288289291291291291293292292292292293292292293293293293293294294294295295295295296296296296296295294294295295296296296296296297296295295294294293294295294294295294294294294295295295295295295295295295294295295295296295295295295295295295296295295294294293295293295295295295295295294293293293293292292292292292293293295295295295295295296295296296296296297297296297296296296296297296296296296296295295294294294293293293292292293293292291291291291290290290290290289287286286285286286285285285285285284283283284282281281281281280279280279279279278277280280280280278277275276274274274275274274273274275276277278279276278276279277276278277277277277277276275275274273273273272273272272272271272271272273273273272272272271270270269268268268268267267266266266264264264263263263263262263263262262261262261261259261259258257256256257258260260260260260260259259258258259259259258258258256255255256257257257257256256256257258258259260259259259259259258258257256255255255254254254253254254253253254254254254254255255255255255255255256257256257257257257256256258257257258258257257258258260259259258259259260260261261262262262262262261261262262262262262261261262261261262262263264264266266265266265266266266265264264263262262262261261261261260260259260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267267268270270271270270270271271269267265263261261260260260259261261261258260259260261261262262265267268266266265267267267266267267268266263264264261256254259260261256254255258258253257259257255258259260263262264266268269269271272271273273274274275274274274274272273273270999266268269268267268268999999999999999999272270271268265268265264260259259263263263265265999999999999999999999999999999999999999999999999999999999279281283284284284283281999999999999999999271274275277280281280280281285286284284285285286287286287287286286286286287289288289290289289291292291291292292292292291292293293293292293293294294294294295294296295295296296296296295294294295295296296296296296296296296296296296295295295294295294295295295295295295295295296296296295295295295295296295295295295295296296295296296296296295295295295295295295296297296295294293293293293293295293293293293294295295296296296297297297297297297298298298298298296297297296296298297296297296296295295295294294293293294294293293292291291290291290290290290289288287286286286286285286285285285283282282283283282282280280280280280280279279280279280280280278277277277277276274274275275274275276277278279279275277278280280274278278275278278277278276276276275274274273273272273273272272272271271272272273274274273272271270270270269268268268268268266265267265264264263262262262263263263262263262261261261262261259258257257257259261260261261261261261260259260260259259258258258257256257256257257257256257256256257258259259260260261260260260259259259258257256256255254253253254253254253254254254255255256256256256256256257257257257257257258258258258258258257258259258258258258259260260260261261261261261261262262263262262262262263263262262261262261262262261262262263263264265265265266266266266265265265265265264264262262261261261261260260261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264264267269269270269269270270270269268264263259260257257258259258257257256255257259261262263264266267267264267265265265267267267266266268261259259259265262261263263258258257259257260261260259259261262263264261263265268268269271273273273273274275276275276276273273273273269267266267266268269268999999999999999999999269272271269999999263262262260266266263264268999999999999999999999999999999999999999999999999999999278280283284283285285286284281999999999999999999272274275279281282282283282285285282285285284285288288286287287287288288285287289290290291291292292291293293293292292293293293294294293293294294295295294295294295296296296297295295295294295296296296297296297296296297297296297297296296295295295294295295296295296296296295296296295295295295296295295295295296296296296296297297297297297296296295295295296296296296297296294294294293293294294293293293293295294296296297297297297298298298297298298297297298298297297297296298298297298297297295296295294294294293294293293293293291291291290290291290290289288287287287287286286285285285284283283282282283284282280280280280280280280279280280279276276275277277277277273274274275276277278278279279278276281281280279279274274278278279278278278278278277276276275274273272273273273272271271271271272273274274274273272272271270269269269269269268267265267266264264263262263263263263263263263262262261262262262260258257258258259260261261261261261261261261260260260260259258258258257257258258257257257257257257258259259260261262261261261260260260259259258258258257255254253254254253253254255255255255256256258258257257257257257258258257258259259259260259259258259259259259259259260260260261262261262262262262262262262262262263263263263262263263262263262262261263264264265267266266267267267267266265265266264264263263262262262261261261261262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265265267267268269269269269269269269268265263260257256256257258257256256254255258259258260262263263267266266260264265270269269267266262261262261263258265262263263263265263264264262999999253258262263264260261263266268269270271274274274274275275277277278277275274274273270268266265267269999999999999999999999999999999999999999999999999999263263261260268267999999999999999999999999999999999999999999999999999999999277279282283285285286286286285284999999999999999270273274277281281282283284285285284282284285285286285286287288287286287288289289289290290290291292292294294293292293293292292293293293293294294295294295295295296296296296296296296295296296296296297296296296297296297297297297297297297297296295296296296296296296296296297296296296295295294295295296296297296297297298298298297297297298297297296296295295297297297297297297295295294294294293293293294295295295297297298298298298298299299298298298298298298298299298298298297297298297297297296297296295294294294294293293294293293291291291290291292291291290290288288288288287287285285284283283283283282281281280281281281281281281280279280279278276276277278278278276276276276277278279279280281280281282282280280280280279279280281279279279279278278277277276275275274273273273273272271271271272272272273274274273273273272271271269269269269268267265265266265263263263263263263263264264264263263262264262261261259258258259260261262262261261262262261261261260259259259258258257258258258257257257257258258258259259260261261261261262262261261260259259258259259258258256255255254254255254255255255256257257257259259257257257258258258258259260260260260260259259259259260259259259260261260260260260262263263262262262262262263263263263263263264263263263262262262262264265266268268268267268267266265265265266265265264263263263262262263262263262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265268266268267267267268268268268267265263259257258255256257256257258258255257259258258259261263265266266263263268268263264262266266267267268267266265264265266263258263999999999999999999259264264264263265267269271272273273274275274275275276274277278278275273272264267265268270999999999999999999999999999999999999999999999999999999262261257256258266270999999999999999999999999999999999281281283281279999999999278279284284286286287286285286285284281278275268271273275278279282282283285286286285284285285286285286287287288289288287287288289290290291291291292293294294293293292293293293293294294294294294295295294295295295296296296296296297296296296297296296296297295296296296297297298298298298297296297296296297297296297296296296296296296296296295296297297297297298298298299298297298298297297297297296296296297297296296296297298296297295295294294294294294297295297298298298298299299299298299298298298297298298299298299297298298298298297297297296297296295295295294294294294293293294292291291290291291291291290289289289289289288287286286285284283283283282282281280280281281281281281280281279279279279278279278279278278277278278279278280281281281282282280282281281281281281279280280279279279279278278277277277276275275274274273273272272272271272272272272273274273272273273272271270270269269268267266265265264264264264263264264264264264264264263263264262262262259258259259259262262261262262263262262261261260259259258258259258257258259258258258258258259259260261261262262262262262262262262261260260260259259259258258256256255255255255255255255256257257257259258258258258258259258259259260260260260261261260260260260259260260261260260260262262262262262262262261262262263263263264263263264263264262262263263264265266267269269268268268267266266265266265265265265264263263263263263262262263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266267268267265268268267267268267265263264261259258257257258258257257259258258258258257259260261262264265266267266266266267266266267268268267266265263265265265264260999999999999999999999262264266264268269270271271272273275276275276276276276276277278275274272267263270999999999999999999999999999999999999999999999999999999999999271266261252247254262265999999999999999999999999999280280280281282281280279999277278280281283284284286285285286285284283282281278276275277279283284282286286286287287285285284285285285286286288288288288289288290291292292292292292294294293293294293293294294294294295295294295295294295295295296296296296297297297296297296297297297296297297298298297298298298298298298298297297297296296297297297297297296296297296296297296298298298298298298297298297297299298298299298298297298297298297297297297297297298297297296296296295296296297297298297297299299299299299299297298299299298298298298297297298299298298298298297296296297297296296295294294295295295295294293292291290290291291291290289289289289288289288287286286285284284283282282282281281281281281281281280281280278279277277278279279279278279280280279278280282282282282282282282281282282280280279279279280279279280279279279278278277276276275275275274273273273272272272272272271273274275274274274273272271270269269268268267266266264264265264264264263265264264264264263263263263262260259259259259260262262262262263262260261260260260259259258258258258258258258258258258258258260260261262262262262262263263263262262262261261260260259259259258258257256256256255255256255256257257258259259258259259259259260258259259260261261261261261260262260260260261260261261262262262262262262262262262262262263263264264264263263263263263264265264265266267268270269269269269268267266266266266265265265264263263263263264264264264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261265268267265264266266267268266266264262259260260260259257258258260258258258258259255256256259261262258259261260264265262262262261261259261259260268264266263264259999999999999263264264266267266267270272273274273274277277276275276276277277277278277272273273267270265999999999999999999999999999999999999999999999999999999999999999999267249249250259262263265999999999999999999999280280279280281281280279278279279281283286282284285285285284286285285285284283283281281281284284283285286287287286286284285285284284284285288288288288289288290291292292292292293294294294294294293293293294294295295294294295295295295294295296295296295297297296296295296296296296297297296298299298298299299298298298297298297297297296298298298297297297297298298297298299299298299299299298299297298298299297298299298298298298298297297297297298299299300299298297296296296296296297297298298298300300300299299298298298299298299298297298298298298298298297297297297296296296295295296295295294295295295295294293292291291291291291290290289289288287288288287286286285285284283283283282282281281281281282281280279279278278278279279280280280280280280281283283283284284283283283282282283283283282279279279280279280280279280280279279279278278276276276275275274274273273273272273272272272273275275275275274273272272270270270269268268268267267266265264265264264264264264264264263263262264262260259259259260260260261262262262262261260259258259258258258258258259259258258258258259259259260261262262262263263264264264264264264263262262262262260259259259259259258257257256255255256256256257258258259259259259259259260260260260261262262262262261261262260261261261262262262263264263262262261262262262263263264264264264264263264264265264265265266267267268269271270269269269267267266266266265265265264264263263263264265264264264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266267266266264265266267267266264263261260260259260260260259260259259258258258258255254256255256260260261262261264266265261261262262263262262260260259264264268262262260263265266267267267268268270271273274275274275277277277276276276277278278277275273267262263263264268999999999999999267268999999999999999999999999999999999999999999999244247253258251260999999999999999999999279280279280280282281280278280282284283283285285284285284286284285286284283284284285285284284281284286286287287286287286286284284285284284286288289288288288289290291292292292292292292294294295294291292294294295295295295295295295295295296296295296296296297297297297295298298298298298297297298299298298299299297297298299298297298297297298297297297297296299297299299300300300300300300299299300299299299299298299299298299299299299299298298298299299299299299296298296298297297297299298298300300301301300297299300300299300298298298298298298298298299298297298298296296296296296296295295295295295295295295294293292292292291291290290290290289287287288288286286286286285284283283282282282281281281281280280279279279279280280280281281281280281281281283284285285283283282282282282281281282282280279279280280279279280279279279279280279279277276276276276276275274274274273273273273273273273275276275275274273273272272269270270269269269268268268266265265265265265264264264264263263263263262261259259259260260260261261261262262260260259258259258258259259258258258258259259259260260261261262263263264265265265266266266265265264264264263262261261260260260260260259259258257256256257257257258259261259260259259260261261260260261262262262261261262263262262263263262262262264264264263263263263263264264264265265265265264264265265265266267267267267268268270272271270270269267267268267267266266265264264264264264265265265265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264267266265263265267268268266264262259260261261260260257259259257257258259259256256258256256258258259262264265264263263263263265263262262264265262262262266266264265265267269267267267267268271272273273275275275276277278277277279278278278279278275271267263262268267268267288999999999281275999999999999999999999999999999999999999999999262258265274273273999999999999999999278280281282282282280279282282284287287286285285284285284284287287288289288288286286289289287288285285286287288288286286286287285286284285286286289288288288289290290291292292292293293293295295296296295292293295295295295295296296296295296296296297296298297298298297297298298298297299299299299299299299298298298298299299299298298298298298298298297297298299298298299299299299299300300300300300300299299299299299299299299300300300299300299298298298299300298299296296297298297298298297297299298300300299300301301300299300299298298298298297298298299300299297297296297296297296296296296295295296295295294297294293293292292292291292289290290289289289288288288287286285284283283283282282281281281280280280279279280280281282282282282282282283282283282284285285285285280283281280280281281282282280280279279279280280280280280280279279279278279278277276276275275275275275274274274273274273274275276276275275274274273271270269270270270269269268268267267267266266265265264264264264263263263262261260262260260260260261261263263262261259258258259259258259259259259260260260260262262261262262263264265265266266267267267267266266265266265264263263262261261262262261261260262259259258258257258258258258260261260259259260260261262261261261261261261261261261263263263263263264264264264264264264265264265265265265265265265265266266266266267267267267268268269270271270269269269267267268267267267266266266266265265266266266266265266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267266265265264266267267267265264260262263262261261257256256256255256257257257258256261260261263264264265265264263264261264264262262263264264265261263265265265265268269269268268267268270271273273275276276276278278278278278278278277275276277273273266266268264265999999282999999999275272268999999999999999999999999999999999999999999263260265268270270272999999999999275276278282283283282282284285286287287287285286286285285284286284285285286288287287286289290288288289288287287287287287287286286285285285285285287288288288289290290290291292292292293294294295296296296296295295294295295295294295295295296296296297298297297297297298297297298298298300298298299298298299299299298299299300299298298298298299299299298297299300300301301301301301302301300302300300299299299299300300300300299300300299299298298300299299300301301300299297298299299299298298298299300301302300300301301301300300299299298297297298298298298299297299298297297298297296295295294297296296296294295295294293292294292292292292292291291289290290288288288287286286286284284283283283282281280278279278279280281282282281283282282282282281282284283285284282282284284282282283281283282282280281280280279279280280280280280280279278278279279278278278277276276275275275275275275274274274274275276277276276276275274274273272271270271270270269269269268268267266266266266265265264265265264264264263261261261262261261261262261261260260259259259259260258258259261261261262261261262262262263264265265266267267267267267266266266266266266266265264264263263263263263263262262263262261261260258257257258257259261259259259260260260260260260260261261261261262261262262263263263264264264264264264265265264265265266266266266266267267266266267266266267268269270270271272271270269269268268268268268267267267266266266267267267267267267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267267266266266266266265266264262261264263262261261261257256256257258258257257257261259259259259263263263264261263262263263263262262264263263261264263264264263264265266268269269268270270271274276276276276278279278278277278278279276274274271272273270272272267267266999999999999999999999270277999999999999999999999999999999999999999999263269272272272275273999999999276276279283284285282283284286286286287287287286284287286287284284283285288286286286287287287288289289288288287288287286286286286286287286288287287288287288290291290291291291292292294294295296296296296296293294295293295296296295296296296297297297297296296298298298297297298298298298299299300299299299299298299299300300299298298299299298299299298299300301301301301301302300301300302302300300299301300300300301301300299300300300301299299299299300300300299299299298298298298298298299299300301302302302302300301301300300299299298298296296297297296296297297297297297298296296297296296295296296295294295295293292293293293293292292292290291288290289288288287287286286286284284284284283281281280279280280281281283284284283283283282282283283282284284285285284284284285283283282282283282281280282281280280281280279279280280279279278278279278278279279278278277276276276275275275274274274275275276277276276276276275274273273272271271271270271271271270269269268268267266266266265265265265265264262262263262263261261262261261259260259259259259261261260260261263263263263263263264264264264265266266268268268267267266266265265265266266266267266265264264265264264263263263264264263263264262260257259257258259258259259259259259259260260260260262263263262262262263263265264264265265265265265265266266266266266266266267267268268267267266268268268268269270270272273271271270270269269269269269268268267266266268268269268268268268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267268266266265266265265265264264261264263261262261259258257257257257258257260260259259260260262265262264263263262262263263263262263265264268267261261262262262264265267268268269270271273275278276277277280278276277277279278279275278276999275268272273273272269270271271999999268266999999272277999999999999999999999999999999999999999266268272274275273273273276276277277279281284285284284285285287287287287288287286286286288285285285283283284285286287288287285289288288285289288289288287287286286286287288288287287288287288289291291291291292292293294295295296296295295295296295295295295296296296296296297297298297297298297298297297297298298298299299298299299298297300299299300300300300300299299299298298299300299299300301299299300301301302301302302303301301300300300301301301300300300301300299300301300299300299300300300299299298298297298299298299299300300301302301301301301300300299299299297297297296296296297298298296298298296297297297296295295295296296295295295295294293293293293293292292291290290290289290288288288287286286286285285284283282282281281281281282283283284284284284283282282282282282283284284283284284283283283283283282282282282282282282282281281281281280280280279279279278278278278278279279278278278278277276276276275275275275276276277277277277277276276275274274274273272271271272272272272271270269269268267266266266266266265263264263263262263264263263262261261261260261261261261262263261262264264265263265265265266265266266266267268269268268267268267266266265265266265266267267266265266266265265265264264261264263263263263262261260258259260258259259259259259260260260260260261262263262263264264265265265266266266266266266266266266266267267268268268268268268268268268269269269269270271272274273272272272270270270270269269269268268267267269270269269269271270270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266267266266266264265265264264262262263262261261261260259257257257257258259258261259262261263264264265264266264264263262263264265265264265268267264264265266267267266266268268271272273275277278277278278279278278278279281278279279280277999999271272272272272270273271269267266264265999266270278999999999999999999999999999999999999267268271274277279276277277278278279281282284285284284285287286287288289289287288288289289289289290289287288287289287288288288286287290290289290289290289289292287286288287288288287288289289290289290290291292292292294295296296296297295297296295295296296296296296297297297297297297298298299299298298294297296298298299299298299299298298299299299300298299299299299300298299298298298299299299299298300300302300299301301301301301301301301301301301301301300300300301300301300300300300300299300299299299299298298298299299299300300299300301301301301300300300299298298297296297296296297299298298296298298298297296297296296296296297296296295294294293293294294294293292291290290290290289289289288288287287287287287286285284282282282282283283283283284284284284284283282282284283283284284285284283284284284284284284282284283283283284283283282282282282282281280279279279279278278278278278278278278278278278278277276276276276276277277278278277278277277276276276275275275274273273273273272272271271272271269268266266265266265264264263263263263264264263262263262263262262262263263262263264264264265266265266266266266267267267267267268269270269269268268267267266266267266266265266266266266266266265265265263263263264264264264262262262260260259258258259259259259260260260261262261261262263263265265266267268268268269268268267267268267268268269269269269269269270270271269269269271271272274275275274273272273273272271271271271270270269269269270271271271271271271271273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267266266266265265264263263263263263263262262261258257258258258260261262260260259265264265266265266265263264265265264264266266266268265262261265266263265265266267268269271272275277279279278279277279278277280279282279279281279277277274275276275269273272273270267265265260261263266283279999999999999999999999999999999999268270268272275277278278278278279280281283284284284284283285286287288288288287286286288285285286286287285286283290290285287288289290289291286288290291291290288288289287289288288288288288289290290291291291292293293293294295295296296296296296296295295296296296296296298296297297298298298298298298296295295296296296299298299298300299298299299300300300300300299299299299299299298299300300300301301302302303302302302302302303301301301301301301301301301301300300300300300300299299300300301300301299300299299298298299299299299300301302301301301301301300300299298298298297297296296296297298298298297298298297296297296296297295295296296295293294294293294294294294293292291292290290289288288288288287287287287287287285284283282283282283283284284283285284284285285285283282282284284285284283283284283284284284284283284283283283284285284283283283283283282282280280279279278278279279278278278278279279279279279279278277277277277278278278278278278278278277277276275275275274273273273273273273273272273272271269267266265264264264264263264265265265265264264263264263262264264263263263264264266266266266266266267267268268268268268269270270270270269268267267268269267266265266267267267267267265264265266265264264264265264263263263262262263261261260260260260260261260261262262263264264264265266267268269269270270271270270271271270270270270271270270270270271271271270271270270272273274274276276275274274274274273273272272271271271270270270270271271271272271272272273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267266266267266265264264264264264262261260260259259259260260263261261261263266266267266263265266266265266264266266265267267265265265263264267264266266265270268271273274276277279278278278278279280280281282283279282282280277277278276277276277271273270269269267261999999999999276283999999999999999999999999999999999270270270274275278279280278279280281282284284285284283284284285286286287288287286287288283284284287288285284285290291287289289290290294291287288290291290291289288287287289289289289290289289290291292292292292293294294295296296296296297297296295295296297297298296297297297297297298298298298297297295298298298297298299300301301300300299298298299300298299299298298297297298299299299300298301299301302302302303302302301301301302301300301301302301301301301301300300300299300300300300300300300299299300298298298299300299299299299300301301301300300300299299299298298298297297296297297298299298299298298298297297297296296297295294295295294293293293293293293293294293293290290290289288288287289288288287287287287286285284283283283284282283283283285284283284285285283282282283283283284284283282284285284285284284284285284284285284284283283282283282282281281280280279279279279279279279279279279279279279280280280279279278278278279278278278278278279278277277276276275275275273273273273273273273272271272271270269268266265264263264264264264265265264264264264263265263265263264263265267268268269267267267268268269270269269270271271271271271271270269269268270268267266265267266267267267266266265266266265266266266265264264264263264263264264262262262262262262262263263263264265266266266267268269269270270271271271270270271270271272272272271271271272272271272271270271272273274275276277276276275275275275275274274273273272273272271271270270271272272272272273273273275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271267268267266266265265265264261260260260260261261261262262262262262262265267269267264264265265265266265267267268267267266266267265265264267268266266269270271273276276278279278279278280281282280281282284282280280280276276277281279278280276271272271269270267999999272272269999999999999999999999999999999999268270272274277278279280280278279281282284284285286286286286286286285286287287287285285287283282282283289285285283286288292291291291289294292290291291293292290289289291292291290290290289288289290291292292292292294293294295295295296296296297295296297296296296296297297297297297297298299299298297296297298299299300300300300301300298299299299299297300299298299298299299300300298298299299299299299300302302302302301301301302301300301302302301301301301301302301301300300300301300300300301300299300299299299297298299299299299299299299300300300300300298298299299298297297297297296297298298299299299298298298297296296296295295294295295294293293293294293293293292293292291289290290288287288288289288288287287287287285284283282283283283282282282283284283284282283283282282282283283283283282283284284284284285285285284284285285285284282283283282283283282281281281280280280280280280280280280280280279279279279279279279279279279279279278278278279279279278277277276276275275275274274273273273272272272272272271271269268268267266265265264264264265266263264263263263264264265265266265267268268270270270269270270271271271271271272272272272272272272271269269270269268267266266266266268268266266266266266266266265266267265265264264264265264264265264263264264264264264264265265266266267268268269269270270270270270270270270271271271271273272272272272272272272271271272273273275277277276277276276276276276276276276275275273273273273273273271271272274273274275275275275275276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273269268267266266266264265263262260260259260260261262263262263263263262264264264264264266266266267268269271268269269268267266268269268268268269268268270271272275276278277279280279279280280281280279282281279279275280276276278279280279277278277275273272272269999273274274275999999999999999999999999999999999273275275276280280281280281281282283284284285286286287287286286287287287289288288286287286287287289289288290288289290291291290290291290291290292292291291291291292293293292292291291291291289289290291291293293293292293294296296296297297297297297297296295296297297297297297296295298297299299297296297298298299300301299299300301300299299299298300299298298300299298299301302299299299300300301301302302303302300300301301302302302301302302301301302301301301302301301301300301302301300301301300300300300300298297299298298298298299298298299299299299298298298298298298297297297297297298298299299300299299298297297296295295295295294294294293293293293293292292292292291291291291290289288287287288288287287286287287287286284283282281282283283282282284283283283281282282281282282283284283283282283283284284284284284284283284283284285285283284284282282283282281280280280281280280280280280280280280280280279279279279279279279279279279279279279279279279278278277277276276275275274274273273273273273273272272272272271271270268268267267266266265266266265265264264265265266265266267267266269270270270270270270271271272272272272273273274273272273272272272270269269269269268266265266266267268266267267267267267266265266266265266265266266265265265265265265265265265265266266266267267268268269269270270270270270270271271270271271271271272272273273273273273273272272273274276277278278277277277277277277277277277277277276275275275274273273273273273274275275276276277276277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268267266266265265265265263262262260261261261262263263263262262264265265265265265266265267266265267269267271271268266264266267269268270267267269270270271273274276277277280279279280280279280281278280278278280278280279280281278280279279281280279273272271270273274274999999999999999999999999999999999999999277279278280281282281280280281283283285285285285286285285285286286287288286285288284287284290289288290290286289289287288288286289289292293290291291292292292295295294292292292292292292292291290290291292292293293293294294296296297297297297295297297296295296296297297297296298297295297298299297297298299299299300300300300300300300298298301298299298297298300299299302301302302302302303302302303303303301300302301302300301302301301302301301301301301301301301301302302301301301300300300300300301301301300298299297297298297297298298298297298298298298299298298298297297297297298298298298299299299299299298298296296295295295295294294294293293293293294293292292292291291290290289288288287288288288288287287286286286286284283283282283282283282282282283283283282282282283282283284283282283283284284285285285285283283284284284284285285283284283283283280282281280280280281281280280280280280280280280279279279279279279280280280279279280279279279279279279278277277276275274274274274274273273273273273272272272272272271270270269268269269267266266268266266265267267266268269268268267269270270271270271271271272273273273273273273274274274274274272273272271270271269269268266266266267267267266266266267266267267267266266266266267266268267267267267267267266266267267267268268269269269270270271271271271271271272272272272271271272272272273273273273273274274273274275276277278278278278277278278278278278278278278278277277276276275275274274275275276277277278279280280280280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265264265265265264264263263262262262263263263264264262262264264264265263266266266264266266267269269272273270266267266269269269273268269270271270271274275277278279279279279281281281281281277281281278275273279281279279278278281279281281279275271274276275270999999999999999999999999999999999999999275276277280281282282280280283283284285285284284284285285285286285285287287287287288287286289289285290290291290289288285288287286290289292291292290292292294296295295294292294292292292293293292291291291291292293293293294294294296297297296297295297296295295296296297297298299297297297297298297297298298299299299299299299300299299300298301298299300302298300300301301301300302302302303300304302303302301301300300302302299302301301302302301301301300300300300301301301301300300300300300300300299299300300299299300299298299299299298298297298297298298298298298298297297296296297298298297298299299299298298298298296295295295295294295294294294294294294294293293293292292291290290289288288288288288288288287287287286286285285283283283283283283282282281282282282282282282283282282282283283283284284285285285285285284284284284284285286285285283283283282281281281280280280281281281281280280280280280280280280279279279279279279279279279280279279279279279278278277277275274274273274274274274274274273273273272272271273273271270269269269268268267268267266267267268269269269270269269270270272271270271271272274274274275275275274275275274274274274274274274273270270269269268266266266268266267268267267267267268269269269268268268268269268268268269269269270270269268269269269269270271271272272272272272272273272272272273273272272272273273273273273273274275274275276276277278278278278278278279279279278278279279279279278277277276277277277276276277278278279280280282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276999999999999999999999999999263264264264265264264262261261261262263262264261262262264264265266266267267267267268267268271271270271271270268268270270273273271271272272273274274276277279280280279279278280283281278275282278277278278278279277278278281281280280282281280279278278277274999999999999999999999999999999999999999277276277280283282281281281284283284284284284284285285286286286286287287288287288286287289288290289290290290290290289290292293294294294295292293293294295294295296295294293294293293293293294293292292291291291293293294295295295296296296295295297297296296295297298298298299298298298298298298298298298299299299300298300299299299300300301298300303302301300299302301301301300301303302302303303303300301301301301302301303302303302302302301301301300300300300300300300300300299299299299300300299299299299299300300300300300300299299298298298298297297297297297297297296296296297297297297298299299299299298298298297296295296295294296296295295295294294294294293293293293293291290290289289288289289289289288288287286284285285285284283282283283283282283283282283282283283283282283282283284284284284284285285285285285284285284285285284284285284283283283282281281280280280280281281281281281281280281281280280281280280279279279279279279279280279279279279278278277277276275274274274274274275275275275275274272272272273272272271270270270270270271269268269268268268269269270270270269270271270271272272272273273275275275275275275274275275274274274273275275273273271269268268267267267267267268268268268268268268269269270269270270270270269270270269270270270271271271271270271271271271271272271273272273273273273273273273273273273273273274274274274274275275275276277277278278278278278279279279280280280280280280280280279279278278278278278277278278279279280280280281282284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276999999999999999999999999999999263263263265263264262262262262263262262262261260263264263264264267270267268269270271271273273272272271272267270271272272273274273272272273274275276277278280281280282278279281280279280279276278279279281281281279280283281283281279281282280278277277276999999999999999999999999999999999999999278280278281282283282281283284284284284284284283285286286286286286287287288287287286287291291289291291286291291290289287288289292289291292295294293295295295296296293293293295293294293294294294293292291291291294293294295296295296296296296295296297296296297298298298299299298298298298298298298298298299298298298299299299299298299299301301302300300302303303300301301301300302302301301302303304303303303301302301303303303303302302301301301301301300300299300300300300300300299300300300300299298299298298298298301301301301300299299299298298298298297296296296297296296296297297297297299299298299299298299298297296295295295294294295295295294294294292294294294293293292292291290289289289289289289289288287287286286285285284284283282283283282283283283282282283283284283283283283284284284285285285285285285284284285285284284284284283283282282282282282282282281280280281281281281281281281281281281281280280280280279280280280280280279279279278279278278278278277276275274274275275275274274274275276274274273273273272273272271271270270270271271270270270270270270270270270270270271271271272273274274275275276276276276276276276276275275275274274275273274275272270269268268269268267267267268268268268268268269269270270270270270271271271271271271271271272271272272272271271271272272273272273272273272273272273274274274274275274274275275275275275276275276278278278278279279280280280281281281282282282281281281281281281280280280280279279280280280281282282282283283285285284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279999999999258259999999262263264265264262263262262262262262261261262263263264264267267267268267270272272273272273271272273272273273271273272272272272273273273273274276276278279279282284279279279284282281279280280279282282281276282280283282283283281284282282280282280280278276999999999999999999999999999999999999280282283284285284283281283283283283283285286287286286287287286286286289287288289290290292292291292292291291292290290292290294291291292293293293293295296295293295295293295293293293294295294295294293292292292294293295296296296297297296297297297297297298298298299299298298298298297297298297297298298298299298299299299299300299299299298298302301301303300300301300302301300301301301303303303303303303303302301301303302302300302301301301300300300300300300300300300301300300300300300300300299299300299299299299300301301301300300299298297298298298298297296295296296297297297298298298299298298298299299298298297296295295295295293294293293293294293294293293294293293293292292291289289289289289289289288287287286286286286285284284283282283283282282282283284284284284283284284284285283285285282285285284285285284284283283284284283284283283282282282283282282282282283282282282282282282282281282281281281281281280280280280280280279279278278278278278278278277277275274274274275274274274273274275276276275275274273273273273273271271270271271272272272271272272271271271271270271271272272273274275275277277277277277277276276275276275275275274274274274273273273272271270269269269269269268267267267268268268268269270269270271271272272272272272272272272272272272272272273272273273273273273273273273273273273274274275275276275274274275275275276277276277279278279279280281281281281282282282282282283283283283283283284282282281281282282282282282282283283283284285285286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283999999999999262262263262263265265263262262261262261261261262263265266266267269268269268269271271274273274272273274278278275275274274272272272272273274273273275276277278279281282281282284285285280281282281284285283282276277284284283285286282280281278282281282280279279277999999999283280999999999999999999999279281282283283284284282282284284283284287287287288289289289289290289290289288287290291288293287288289292290292294290291290292292292292293293295296295295295295295295296294294294295296296295295294294293292293294295296296296297296296297297297297297296298299298298298298297298298296298298298298298298299299298298298298299299299298298300300301299301302301301301302301301301302302302302302303303303302302302301302302301302301302301301300299300299300300300301301301301301300300300301301301300300300300301300300301301300301301302302300299299299299298298298297298297297298299298298298298298298298298298298298297296296295295295295295294294294294294294294294294293293293292292292291289288288288289288288287288287286286286285285285284284284284283283283283284284284283283285285285285286285285285283284284285284284283281284285283284283283284282283283283283282282282282282282282282283282281281281281281281281281281280280279280280279279279278278278278278278277277276275274274274274274274275275275277277276275274274274274274273272272271272272272272273273273273272272272272271272272273273274275276277278278278278277277276276276276275276275274275275274274273273273272272271271270271270270269268268268269268268270270271271271272272272272273273272272272272272272273273273273273273274274274274274274274274275275276276277277277276275275276277278278278279280280281281282282282283283283283283283283284284284285285285285284283283283283282283283284284284284284285286286286287286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277273275999999999266265265267268265264263261259259261263263265266266266268270269270275272270271273275276274275275280279278276275275274274275275274275275275275277277277278280281282280285285285282281282282282286285283283285285286285285284284282280278279277280279277282280999999999282999999999999999999999279281282281282283284286285283285285286285286287288288290291291291290291292292293291292292291291291291292292292290291291290293293291291293293293295295295296296296295296296296296295295295296295295295296295295294295295296296296296296297297298298297297298298299298297299298298298297297298298297298298299298299299299299297299299298298299299300299301301301301301301301301302302302302300300301301303303303303301303303302301302301303302301298299299300299299300300301301300300301300300301301301301301301301301300302301301300301301302301301301300299298298298297297298299300299298298298298298298298298298298298298297297296296295295295295294294293294293293294294293293292293291291291291291289287288289288289288288287287287286285285285284284283283283281283284284284284283284285285283286286285283283284284284286285284283283284284283284284282284283284284284285283282282281281282282282283282281281281281281281281281281280280279280280280279279278278278278277277276276276275274275275274274275276276276277277277276275275274275274274274273272272273272273273274274275275274273272272273273273274275276277277278278278278277277277277277276276276276275276275276276275274273273273273272271271272271271270269268269269270271270271272273273273273273272272272272273273273273273273273274274274274275275275275275275276276277278279279279279279277276277278279279279280281281282282283283283283283283283284284284284285285286286286286285285284284284285285285285285285287287287287287287287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272272272272273269270270269266264263262261260261263266266265266268271271270274274271273275276275275275276276276279278277275275275276275276277277277277276277277277280279281281283284286281282282281283282282285284284285287286288284285285284284284283280279281280283281999999285284999999999999999999999282283282281282283284283284285284285285286287288289290292292292291292291292293293291293291291292291291291291292292293294294292293291292291292294295295295295295296295294295296296296296296296296295295296296296295295296294294295295296296298298296295295297299297298298298298298298298297297298298299299299299299299299298299299299298299299300300300300301301300301301301301302302302301302302302301302303303302302303300302302302301302302301300299300300300299300300300300300300301301301301301300301301301300301301301301301302301301301301302301301299298298298298298299300300300298298298298298297298298298298298298298296296296297296296295295294293294294293294293294293293292292292291292292291289287287288288288288287287286286286285286285285284283283285284284284283283284285285286283286286282283283284284285284283283284285285285285282284284284284284280282284283282282282281282282282282282281281281281281281281281280280280280280280279279279278278278278277277276276276275274275275275276277276276278278278277278276276275275275274274274274274274274274275275276275275275274274274274274275275276278278278278278278278277277277277277277277277277276276276276276275274274274274273273273272273273272272272271271271272272272273274274274274274273273273273273273274274274274275274275275275275275275276276276276277278279279280281281280280279278278279279280280282282282283283283283284284284284284284285285285285286286286286287286286286286286286286286286286287287286286287288287287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276275275274273273271269266261260260262261266266267266267270270269273273274273275275275274275277279278277278279280279278277278279278280279278277277277278278280282282281282285283282284283285283285287284287287286288287285285288288288287286285284283281280280999999999999283282999999999278278280281280281281282282285286285286287286286287289290292291292292293293292290292292293295292290292293292293294292293292292295294293293293294293295296295295295295295296296296297297296296296295296296295295296296296296296296296293295296296295298297296298298298299299299298299299299298298298299298299299299299298300299298299299299299299299299300299300301300301300301300301301301301301301302302302302301302302301302302303303302301301301302302300300300299299299300299299299301300300301301300300300299300301302302300301301302302301301300302302302301300298298297297297299300300299298297298299298298298299299298298298298297297298298297297296296296295295295295295293291292293292292292292290292291290288288288288288288288287287287286286286285285284284284283282285285284284286286285285284284282283284281285285283285285284284285285285285285284284283285285284283284284283282282282283283284283283282281281281281281281281280281280280280280279279279279279278279278278277276276276276276276277278278278278279279279278278279278277276275275275274275275275275276276277276275275275275275275275275276276278278279279279279279278278278278277276277277277277277277277276276275275275275274275274274274273273272273272273273273273273274274274274274275274274274274274274274274275275275276276276276276276276276277277278278279279280280282282282281280280280279280280281281282283284284284284284285285285285285285285285285286287287287287287288287287287287287286286287287288288287287288287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276274274275273272272270265263262262262263265265266267268268268269271273273274273275274275274273279280280278281282282282282279279281280279279278278279278280282283282281283283283283284283284287288287287286289290289286284287286287286284287287287284283283280279280999999999280999999999282281278283280281283284282283286288289288288290289291292292293292292292291292292292292293293295291293293292293293292292293294292293294294297293293294295295295296296296296296296297295295296296296296295295296296296296297296295296296296296296297298297298298298298299299299299299300299299299300299299300298300300301301301300300300299299299299299299300300301301301301301301301301301302302302302302303302303302302302303303302302302302302301302301300300299300300300300299300301302303302301300301302301301301301302301301302301301301301300301301302301301301300298298298298298300300299297298299298298298299299299298299299298298298297297297297297296296297297296295294294294293293292292292292291292291291290289289288288288288287287287286286286286286285285285286286286285284285285286286285287285283285286285285285285285286286285285285284285285285286285285284284284284285283282283283284284284283284282282282281281281281281281281280280280280280279279279279279279278277277277277277277277278278279280280280281280280280280280279279278277277277277277277276276277278278277276276276275275276276276277277279279279279279279279280279279279278277277277277277277278277276276276275275275275276275275274274273273273273274274274274274275275274274274274275275275275275275274275275276276276276277277277277277277278279280280280281281282283283283282282281280280281281282283283284284284284285285285285285285285285285285286286287287288287287288288288287288288288287287288288288288288287287287287288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275274271271272271270266262263263263265265265266266266268268269270271273274275277276276273279280281281281279283283283281283280281280279281281281281281281283283283285285283283282286286286288289290290290290290290288289288288290290287290286286287285286281279282281279279276999999277278277278282280281283283284282285289290289290292291292292293293290291292292292292291291293295292292293290293294293291293293292292292294292292290294293295295296296296295296296296295294294295296296296296296296296295296295295296296296296297296297299297298298298298298298299298298299299299299298298299299299300301301301301301301300300299298298299299299301302302301301301301302302302301302302301302302302302302302302302302301302301302301301299300301300301300300301301301301302302302300303302299301301301301301301301302302301301301300301301302302302301299301300299299300299301299298299300300299299298298299299298299299298298299299298298297297297297297297297294294293294293292292292292292292292291292292290288287287287287287288287287287286286286287286286287287287285285286286287287287286286285285286285285285285285286284284285284285285285286286286285286285285285285284280284284284284284284284284283282281281281281280281281280280280279279279280279279278278278278278277277277277278279280281281281282282282281281281280281280279279279279280279279278279279279278277276276276276276276276276277278279279279280280280280280280279279278278278278278278278277277276277276276276276276275275274274274274274274274274274274274274275275275275275275275275276276277276276276277276277276277277277277277278279280280281281281282282283283283283283282281280280281281282283284284284285285285285285285285285285285285285285286287288287287287287288288288288288288288288288288287288288288289290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274274271273270268265264265264264264264264267266266268268269270270273275276276276277273274279281280280282283283283283283281281283282281282282283283284284285284285284286285286286286285287289289292289290291292289289286288290290290290290288287288287284284284283282278999276278275279280280280281283283285287287289290291293291294292293293293293291293293293293292291292294293292294293291293292295294292294293293293294292295296296295295296296295295295295295295295295296297296296296296296296296294297296296296297296297296296298297297296297297297298298298299298298298299299299299300299300301301301300301299300300300299299298299299300301302302302301301302302302302302300300301302303303302302302303303302302302301299301302302299301301301301300300301302302302302302302302301299300301301301301301301302302301301301300300300300302302302302301301300300300300300300300300300299299297298298299299298300299300299299299298298297297296296297297295295294294294293293292293292292292292291292291292289289287287287287287287287287287286287286288288286285287286287287287287286286285286286285285286285285285285285284284284285285285285286286286286285286284284285285285285285285286285285284284283282282281281281281281281280280280280280280280280279278278278278278277277278278280281282282283283283283283283283283283282281281280281280280281280280280280280279278276276276276276277277277278279279280280280281280280280280280279279279278278278278278277277277277277276276275276276276275275275276276276275275275275275275275276276275275275276276277277278278278278278278277278279279280281281280281281281282282282282283283283283283283282281280281281282283284284285284285285285286286286285286286285285285285285286287287287288288288288288288288289289288288288288288289289289290290291292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271273273272270268267265264265266266264266265269268268267269270270273274275277277277278277279280280281284284283284284282285283284283283283284284284286286286285285285286285285289289286289289286292291288290291289289287291291294289291291289289290288286287285284283280277282281280281279279281282283285288287288289290291293293292292293293293293293294293293293292291291293293292292294292292293292292292292293293293291293294293295295295295296295295295295295295296297297297296296297297296297296294297297296297297297295296298298298298297297297298298297297298298298298298299300299299300300299300300300301299301300300299300299300300300301301300300300302302302302301302300301302303303303303304303303303303303302301300301302301301301302301302301302301300300302303302302301302301301301301301300301301301302301301300300301300301300302302301301301301300300300301301299301300297298299298299296300297299299299299299297298298297296297296296295296296295294294294294293292292292291292292292291290290290288287287287287287287288288287287288288288287288288287287286286286286285285285285285286286285284285286285282284286286286285285286285285285285285285285284285285285286286286286285285284283284282281281281281281280280280280280281281280280280280279278278278278279279280282283283283284284284284284283284284284284284283282281281281281281281282282281280278277277277277277277278278278279279280280281281281281281281281280280279279278278279278278278277277278277276277276276276276277276276276276275275276276276276276276276275276276276277278277278279279279280280280280280280281281282282282282282283282283283283284284284284283283281281281282283284284285285285285286286286286286286287286286286285285285286287288288288288288288288288289289289289288288288288289290290290291292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274271271271273274274271269266264264264266266266266266266269267268269270271273273275275277278278279281281281281279283285285283285287284284283283284284285286287287286287286285285287288287288289288290287289289290291287285290291292291291291292292292290289291290287286285287285285285282281278280281282282283287289289291293292293293293292293293293293293293293294294295294294294293293291292293293294292292292292291292293294293295294295295296295294296295295295295295295295296297296296296296296296297297296296296297297297297297297297297296297298297297298298298298298297297298299298299299299300300299300300299300301299300300300300299299299299301301300300300300301300301301301302302303303304304302303304303303302302301300300302302302302302301301302302302302302303302303303303303302302301301301302302301301301300301300301301300300301301301302301301301301301301301301301302302300298299299299299300300299298298298299298298298297297296297296295295296295295296294292294293293290291291291291291291291291290288288288287287286287288287287288288288287289288288287285285286285285285286285285284285285285284285285281285285285285285285285285286286286285285284285284284284285285286286286286285284283283284282282281280280281280280281281281281281281281281280280280281281282282283283284284284284285285285284285285285286286285285284284283283282281282282282281280279278278278277277277278278279279281281281282281282282282281281281280280280279278279279279279278277277277277276276276276277277277276276276276276275276276277276276276276276277277277278278279279280280281281281280281282282282282282282283283283283284284284284284284284284283282281282283284285285286286286286286286286286286286287286286286286286286286287287288288288289289288288289289289289289289289289289290291291292293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283280277275274275275275274269267265262265264266265264265266266266267268269269272272276276276278278279280281280281282281283287286283286286285286286285285285285286287287287287286286287284287289289289288289287291290291290287288289290290291293290291291293292292291289287285285286286286282280999281283284283284284287290290290290293294293294294293293294293293293293294292294293292291292292293292293293293292292292292292292291294293292293294294295294295296296295294295295295295296296296296295295296296296295296297295297297296297297297297297297296296297298297297298298298297298298298298299299301301301301301300300300300300300300299299299299297299300300300301300300300301300301302302304302303303304303303303303303303302301302302304301302301303302302302301302302302303303302303302302302301302301300301299300299300301301301301301301300300300301301301300301302302301301301301301301299298299300300300300300299298299298298298298298297296296296296295296294294294294293294293293293292291291291291291291290291292290289288288286287287287286287287287288289290287286287285286286285286286286286285285284286285285285283282284286286286285285285285285285285285285285285284284284285285285286285285285284283283284283282281281280280282281282282281281282282283282281281282282282282283283284284285285286286286285285286286286286286286286286286285283282282282282281281280280280279278278278278278278279280281281282282282282283282282282281281281280280280280280280279278278278277277276276276276277277277277276276276276276276277277277277276277277277278279279279279281281281281281281281282282282282282282283283283284284284285284285285285285284283282282283284285285286286286286286287287287286286286287286286286286286286286287287288288289289288288288289289290290289289289290291291292292293293294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288286283279277276275274274273269264262263257262264264263264265265269267268270271272273275274275276277279280281281282280281284286285286285286285288287287287287288287288287287288284288286288289288289289287286286287290292292288290291288291291291292293295295294294293291290287288287287286284280999283283284284284286288290291292292292294292293293293292293293293293294294293293293295293293289290293293294291291291292293293295295292293293294294293294295296295295295295295295295295296295296296295294294296296296294296295297297296294296296296297297296296296298297297297298298297297298297298298299300301301300299299300301300301300300299299299298299300300300300300301301300301301303302303302303302303303303303302303303303305302304304302301302304304302303301301301302302301302302303303302303300302301302298300300299298300301301301300300301301300302302302301302302301302301301301301300300299300300300300300300299299298298297297297296295296295296296294295294295294292292293291291292292291291291291291291291292291291288288286288288288287287288287288288289287287287286286286286286286286286287287287286287286285285284285284286287286286286285285285286285283284285284284284285285285285286285285285286285284284284283282281281281282282282282282281281283283283282282282282282282283284284285285286286287286286286287287286286286287287286286285284283282282282281281281281280280279279279279278278280281281282282283283283283283283282281281281281281280280281280279278278278278277276276276276277277277277276276276277277277277277277277277277278278278278280280280280282281281282282282282283282282282282282282283283284285285285285285285285285283282282283284285286286286287287287287287287287287286286286286286286285285286287288288289289290289289288289290290290289289290291291292292293293293294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285288289288287284282279278277276274273268265265265260262265263263264266267268267269270271273274274276276276279281282280279284284281284285283283286286287288286287288288289288287286288284285287288289289290289289290287285286287291293289293290289291291290293293294294294294293293291289289290289288285285282283283281286284288288290292294292293293295294294294293293294293294294293294293293295292292294293295294294291291293292293294293293291293294294294294294294294295295295295295295295295295296297296296296294296296297296296297295295295295294296297297298298297297297298298298297298298298298298298299300300301301300301301300301300300300298298298298299299301300301300301300300303300301302302302303301302301303302303303303303302303303301302302301306302304303303303302303302302301301301303302303302301301301302302300298299299300300301301300299300302301302301302302302302302301301301302301300300300300300300300300300299299298297297297297296297296297296294295294294296296293294293293292291292291291291291291291290291291291289288288288288288287285289289288288288287287285286284286286286286286287286287287288287286285285285285285286286285286285286284284286285285285285285284285285285285285286286286286286285284283284284283282282282281282282283282282282283284284284283283283283283284283285285286286287287287287286286287286286286286286286286285285283282283282281281281281281280280279279279279279280281282282283283283283283283283283282282282281281280281282281279279279279278277277277277277277277277277277277278278277277277277277278278278278278280280280280281281281282282282282282282282282281281282282282283283284285285285285285286285285284283283284285285286286287287287288288287287286287286286286286286286285286287288289289289289289289289288289290290290290290290291292292292292293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285287288287286285283280279279278279275272266265265262262265266265265266267269271270271273275274274277279280282283282281283283282283287284285285285287288287288288286285289289286288288287287288289290291290289290289288291288289289291290290289290292291292293294294294294293294295292291289999290288284999279283285283288285288289292293294295293293295294294294294295295294294294295294295295294293294295294294294294293293293293293293294294294293294294293294294295294295295295295295295295295295295296296296296296296296297296295295296296295295295295298298296298296295298297297298298298297298298299299299299300301301302301300300300300299300298297297298298299301300301300301300300302301303303302301301300302302303303303302304302303303303302303303304305303303302302304302303301301299300302302302302302301301303302299300300300301300300301300301301300300302302302302301301301301302302302301301300300300300300300300299299298299298299299298294296296296294295295294296296296296295294293293293293291291291291290291290289291291291290289289288288287288287287289288288287286288286286285286286287286286286287287287287287287287287286283286286287287286285285285285286285284285285285285285285285285285286286286287286285285284284284283283283282282283283284285286285285285285284284283283284283284284285286286287287288287287287286287287286286286286287286286285283283282282281281282282281280280280279279279280281282282283283283283283283283283283283282282282281281281282281280279279279279278278278277277278277277278278278277278278277277277278279279279279280280280281281281281282282282282282282281281281281281281281282283284284285285285285286286286285284283283284285286286286287288288288287287286286286286286286286286286286286287288289289289289290290289288289290291290290290290291291292292292293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283999283283281283283285283284284284282280279279277275274273270267267264262264266266267266268270271271273274275277271276277279282282281283281283283284284282286287287287288288288289287286289288288288287285288289290291291290290289291286286290290288292290290290291292291292293294294294294294295296292292999999999288285279280280285286288289287290292293294294293295295293294293293294295295293293293292291293293291293294295295293295293292293295295295295294294294294294293294294294294295294295296296295295295295295295296297297295296294295295295295295295295295295296298296298297295297297297298298298297297297299299299299300300301301301301301300300299298299298298298298298299301300301301301300301304303303303303303304302301303303304305302305301302303302303303305304302301302302303302302302302301300302302303303303302302301303302300301302301301298300299300300302301301301301302301301301301302302302301301301300300300300300300299299299298300299299298294294295295296294295296296295295295293294293292293293294293292292291290290290290289290290290289288289288288287285286288287288287287286286286286286285286286286288288287287287287287287286286285286287285286286285285282285286284284285285285285284286286286286287286286287287286286285285285284285284284285286287287287288288287286285285284284284284284285285285286286287287287288288287287287287286286286286287287286285284283282282281282282282281281281281280280280281281282283283283283283283283283283283283283282282281280281282281281280279279279278278278277278278277278278278278277278277278278278279279279280280280281281281282282283283284283283283282281280281281281281282283283284285285285285286286287286285284283283285286286287286287288288288287287286286286286286286286286285286287288289289289289290290290289288289289290290290290290291292292292292292292293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283284282282279999999999282282281280280279278276274271269269266264264264265267268268269271271272275274272273276278278279279283281285280283285286286288289287287287287287288288286289288289289288289288289290290291291290289291291288289291289290291290291291291292293294294295294294295296294294293292287999284286283281283285287289289289291292293294295294295294293292294294294294295295297294294293294293292292295294296295295296294292293295294295293293294295295294292293294294295295295295294296295295295295295296296297297296296295295293295296296295295295296297298297297297297297298298297298298298297298298299299299300300301301302301301301300299299299299298299297298300300300301301300300300303303302303303304303302301305304305304304305306305305306302302302305300301300302304303303303304303303304304302302302302303304301302302301301302300299299299299300300300301300300301301301301301301302302301301300300301300300300299299298299299300299298296296295295295293295296296293293295294293292293292291293293292292291291291289290290291291290290289288289289288287287286288288289288287286287286286286286286287287287286287288288288287287287287286286287286286286286285285285287285285285285285285285286286286287287286287288288287286285286286286286287286287288288289288288289287287286286285285285285285285286286286287287287287288288288287287287287286286286287287286285284283283282282282282282282281281281281281281281281282282282283283284284284283283283283283282281281281281282281280280280279279278278278278278278278278279279278278277277278279279280280280280281281282282282283283283283284284283283282281280280280281281282283283284285285285286286286286285284283283284285286286286287287288288288287287287286285285286286286286286287289289289289289289290290290290289288289289290290290290291291292292292292293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282280279278999279273273270267265261267267268269270270272274274276278275275276278279279282282280282284284285286286286289289287287287287288288288289288288289288289290290289290290290291291291291291289292291289292290293292293293293295294295294295293293294293294293291289290289287285284286287289290291291291294294294293294295294292292293294294294295294295294295295294295295295296296296295295293294295293293294294293293294294294294294293294294295295295294295295295295295296295296297297297296296296296296296296297296296297297297298297297297297298298298298297297298298298298298299298299300299301302301301300299300299299299298299301300301301300300298300302300302303303302302302303303303303305304304304304303303303304304305306303302299301301303303304303303303303302303303302302301302302302303302301302302300301299299300300300300303300300300301300301302301301301300300300300300300300300299300299299298298298298296296294294294296296295295295294295294294295294293293292292292291292291290289291290290291290290290289289289288287287288287287289288287286287286286287287287287286286286287288288286288288288287288287286287287287286286286286286286286286286286286287287287287288288287288288288288287287287287287288289288288289289289289289289289287287286285284284284285285285286286287287287287288288287287287287287287286286287288287286285284283283283283282283282282282282281281281281281282283283283282283283283283283283283283282282281281281282282281281280279279279279278278279279279279279279278278278278279280280280280281281281281282282282283283283284284283283282282281281280280281281282282283284284285286286286286286285284283283284285286286286287287288287287287287286285285286286286286287288289289289289289289289290290291290289289289289289290290290291291291292292292293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281280279280999999999271267268269265267268269271273274275276276279278277277278278279277282282281278284285284287286288287287288286286287288288288288288284288287288290290290289290291290291291291290290290291291289290292292293294294294294294295295295294294293293293292290291290288287285287291290291290291292291294294293294296295292293293294294294294294295292292293292293293294295296293293291292292292292295294293293294294294294295295296295296295295295295295295295295295295295295296296296296297296296296296296296296297296297297298298296297297298298298298297297297298298298298298298299299300302301301301299299300297300298299298301300301300302302300302300302301301302302302302302302304304304304305303303304300303301300301301301301302302302303303303303302302303303303302302302300301301301301303301302301303299299299298301301300301300300300300300301301301300301300301300300300299300299300299298298297297297296296296296294295296294295294294296295295295294294293293292292290291291291291289291290290290290290289289289288287287288288288288288287287287286287287288288287286286286286287288288288289287287288287286286287287286286286286285286286286285287288288288287288288288288288288288288288288288288288288289289290290289290290290289288288288287286285284284284285285285286286287287287287287287287287287287287287286287287287287286286285284284284284284284283283283283282282282282282282282283283282282282282282283283283283282281281282282282282281281280280279279279279279279280279279279278278278279280280280280280281281281281282282282282283283284284284284283282282281281280281281281281282283284285285285286286286286285284283283284285286286286287287287287286286286285285286287287287287289289290290289289289289289290291291291290289289289289290290290290291291291291291292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279277275999270267269269268270270271274278277277278279279277278278279279278281283281280282285279286285285285286288286285285286288288286289289290290289290290291290290290290291292291291292292291292291292293293294295295294294295294294295295295292293294294294293290291290288288290289290291292293294293293291293293295294292294293295295295295295294294295292292293293292295295293293291291292293293293293294294295296296296295296296297297295296297296295296296295295295295295296297297297296296296296296296296296298297297297298299298297297298298298298298296297296297299301299300299299301301301301302301299300299297301298299298299299302302300300301301302302302302302302302302303304303303305305303304304300304300299301301300304305301302302303302302303304303303302303303301301301300300300301301300301302301301301301302302302301300301300300301301301300300300301300300300299300300299300299298296297297297296296295296295294295296296297296296295295295293294294294293293292292291290292291291290290290290290289289288287288288288288287288288288287287287287287288287286286287287287287288288289289287287286287287287287286286286286286286287287286287288289289287288288289289289289288288289289288288289289290290290291291291291291291290289288288288287285284284284285285285285286286287287286287287287287287286287287287287287286287287286286285285284284284284284283284283283282282282282282282282282282282282282283283283283282282282282282282283283282281281280280280280280280280280279279279279279279280280281280280281281281281282282282282282283283284284284284283282282282281281281281281282282283284285285286286286286286285284283283285286286286287287286286286286286285285286287287288288289289289289289289289289289289290291291290290289289289289289289289290290291290291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274274269268269269267270270274277279279277280279279279279279281279280280281284282282282284285285287287285286286286285287287287284289290287288290290291291291291289290291291293293293292291290292294294295294294295294294294293292294295293293293294294294293291291290289290290290291292292293293293293294293293295295295292294294294295295295295294295295292294294294293293291293293292294294293294294294295296296296296295296296297297296296296296296295296296295296295295295296297296296295295296297297297298298298298298298300299298297296297296299298297296297298299299300301299300299300300301302300298298296298298299298298298299299300299300299300302302302301302303303303303304303304303305305304303304304304302304302304304303302303302306303302304303304303303303303303302300300301300300303300300300302302302302301301301299300301301301301300300300300301300300300300300300300299299298298297297297297296296296296297297297295296297297296295295296294295294294293293293292292292292290291291290289290290289288289288289289288289289289288289289288288288288288286288288289288289288288289289288287287287287287287286286286286287287287288288288287288288288288290289289289290289289289289289290290290290291291292292292292291292292292291289289288287286285285285285285285286286286286286286286286286286286287287287286286287287287287287286285285285284284284284284284284283283282282283283283283282283282282283283283283283282282282282282283283283282281281280280280281281281280280280280280279280280280281280281281281281281281282282282282282283283284284284285284283282281281281281281282282283283284285286286286286286286285284284284285286286286286286286286286286285285287288288288289289289289289289289289289289289289290290291291291290289289289288289289289289290290290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279279276272270268270269268269271277279281278278279280280280281281282281281283282284285285284285285285289286285286286288288287288288288288288290288289291292290290290290291292293293292293292291293293294294294294294294294295295293293295294291294295294293293293292292292291291291291290291292293294293293293294294294295294294295295295295295295295294295295296296296296296296296295295295294294294295295295296297296297296296296296296296296296297296295295296296295296295296295295296297297297297297298298298298298298298298299299299298297298301300299298297297297300301301300298303299299300299300301302297297299300298298298301300301301300299300299300300303303301303304304304302303303302304305304304304304304303301300300301300300302301302302302302303304304304303303302303302301300301301299299301302302301301302301301301300298301301302301301301300300300300300300300299299300300298298297297297297298297296296297294294296297297296296297297296295294295295295291290290292292292292292292291291290289289289289288288289289288288289289289287288287288288288287287289289290289290290287287287287287287287287287287287287287287288289289289290289289288288288288291290289290290290289289289290290291291291291292292292293292292292292292292292291290289288286286286286285286285286286286286286286286286286286286286287287286287287288287288287287287286285285285285285285284284284283283283284284283283283283283284284284284284283283283283283283283284283282282281280280280281281280280280280280280280281280281280281281281281281281282282282282282283283283284284284284284283282281281281281281282283283284284285285286286286286285285284284284284285286286286286286286285285285287288289289289289289289289289289290289289289289290290290290291291291289289289288288289289289289290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281276276274271271271271271270273275278281278278278279279280282282282283282284283282281282285285285287289283287285287288288287287286288289288287288290291291292290291291292292293294292293293293293294294294292293291294294294295295293293295293292294294294293293292292292293292291292292292292293294293293294295293293293295295295293293295295295295294295296296296296296293294294293292293294295295294295296296296296297297297296296296296296296296295295295295295295295295295295296296296297297298299297298298297298299297297297297299299298298298298299299297297298299300300301298300300299299299300301301300297298298298298298301299300299299299299301299301302301301302302304303303300301300304305304304304303304303302302304300299300300303303301301303303301303303303303303303303302301301300301302299299300300302302301301301301301299300301301301300300300300299300300299299298299299300298298298297297297297297297297297299296296298297297297297297296297296297296296295294292293293294293292292291291290289289289288289290289289288289289289289290289290290290288289290291290290289289289288288288287287286286287287286286286286287289289289290288290289289288289289291290290290290289289289289289291291291291292292292292293293293292292293292292292291289288287287287286286287286287287287287287287286286287287287287287287286286287288289288288287287287287286285285285285284284284284283283284284284284284284285285285285285284283283283284284284284284283283282281281281281281281280280280281281281281281281281280280281281281281281282282282282282282283284284285284284284283282281281281281281281282282283283284284285285285284284284283283283284284285285285285285285284285287288289289289289289289289289290289290290290290290290290290291291291291291290290289289289289289289290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282999999279275274273272272273271272274276278279278279281280280282282283283284285284283283279282285286287285286284284288288288288287287289287288287290291291292292290290291293293294293292292293293294294294295294294294295295294295294293294293293294294294294294293293293293292292292292293293294293293293293294295294295294295296296294295296295295295295294294294293296296296293294296291293294294295295296296296296296297297297297296296297297297296295296295296295295295296295296296296297296295298297298298298298299298298298297296299299299299298298298298298297296298300300301301300300299299299300300300299298299299299296298299300299299299300301301299301302301301301303303303302303302301302304303302304304304303300303302302299300299300304300300304303300301301302303304303304303303302302301301302300301301301301301301302301301301299301301301300301301300299299300299298298298300299299299298297297297297297298298297297296296297298298297297298296296296296296296295293293294293293293293292289291291291291290290290290289290290290290290289290291291291290291289291291290290289289288288287287287287287288285288288284286287288288289289290289291290291290290291290290290290290290289290289290291291291292292292293293293293293293293293293293293291290289288287287287286287287287288288287287287287287287287287287287286286287287288289289288287288288288288286285285284284284284284284284284284285285285285285285285284284284284284284285284285285284283282282281281280280280280280280281281281281281280280280281280281281281281281281281281282282283283283284284284284284283281281281281281281281281282282282283284284284284283283283283282283283284284285284284285285286288289289289289290290290290290291291290290290291291291291290291291291291291291291290290290289289289289290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282999999999278279275270272269273275273275275277279279280281281282282283283283284285285285284284281285287287286284290284285288288289290288289290287287290291291291291291292292292292293293293292292294294295295295294294294293294294295294295292293291293293293294294294294294295293293292293294294294294294293294294294294295294294294295295296296296295295295294295295296296296296296296296297296295296295295296297296297297294297297297296296297298296297297296296296296295295295296296297297296297297297296297298297299299298298299298297296298299299299298299298298298297296298300300302301301301300299300300300298299299299300300299300299300299298300301301302302301302301300301301303303301302303299303303300300303302303302302302302303304303302303304304301304304301302300303304304303303303303303302302301301301301301301301301302301301302301302301302301300300300300299300299299299298297298299298299298297297297297298298298297299296297297297297298296297297296296296297297297297295294294294293293293292292292292292290290290291291291291291291290292292292291292291291291291291291291290290290288290287290287288288288288288286287288288290290290292290292291291291292292292291290290290290290290291291291291292292293292293293293294294294294294294293293292291290289288288288287287288288288289288288288288288288288287287287287287287287288289289288287288288289289287286285284285284284284284284284285286286286285285285285285285285285285286285285284284284284283282281280280280280280280281281281281280280280280281280280281281281281281281281282282282283283284284284284284283283282281280280280280280280281281282283283283283283283283283282282283284284285284285285286286288289290290290289290290290291290290291290290291291291291291291291291291291291291291291290290289289289289289289290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283276274270270274276276275278279280279280280281282282282283284284285286286285285285285285289287285288286286288289289290290289290290290291291291291292293294292293294295293294294293293295295295295295295295295294294294294295295294290292291293294293293294293294292292293293294294293294293293294294295294295295295294295295295295295296296295295295295295296296294296296294292294296294295295295296296296297297297297297297296297295295296296297296296296296296295296296296297298297297295296295295297296297298299299299299298298298299298298298297297297297296297298299300301298298300300299300300300300300301300299300300300300299297299300299300301300300301302300301300301303301299298298302301302303302303302299302302299300303301303303302302304304304301304304302304303302303303303303303302301300301301300301301301302302302303301301301302301300297299299299299300300299299300298299298299298296297297298297298299297298299298298297295297297297297297296296298298298297297295292290294294290293293292292292292292291292290292291292292291291291290290291289291292292292291291293293291291291290290289289287289290290288288290290291292292292292292291292292292292291292291291290290290291292292293292292293294294293294294294294294294295294294294293292291290289289288288288288288288288288288288289289289288288288287287287287288288289289288287287288289289288287286285284284284284285285285286286286286286286286285286286285285285286285285285284284284283282281280280280280280280280280280281280280280281280280281281281281281281281282282282283283283284284284284283283283281281280280280280280280281281282282283282283282283284283282282284284284284285285286287288289289290289289289289289290290290290291291291291291291291291291291291291291291291291291290290289289289289290290289290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282999999999274277272272277278279279282283282284280283283285287284283284284282286287287287286286286287286286279287286289288288287288290290290291289290292292293293293293295292293295295296295294296295296295295293295295294294294294293293293294294291294294293292294293293293292293294294295295294294294293294295295295295296295295295294295295296296296295296295295296296296296296295296292296295296295296296296297297297297297297298297297295296296297296297296297296296296297297297297297297296296296297297297296297298299299299299299299297300298298297296297298297296298298298299299299298300300299299299298300299300299300299300301299299299299300298300301300300300300300300301302302302303300302301302299300303303303303303303302302301302303301302303302304301302304305305303304303303303303303302302303301302302301302301302302302302301301301300299298300298297299298299300299300300299299300300299299299298298297298300298298299298298298298297297298297296297297297297297298297297296295295294294291293293293292293293293292291292292292292293293292290290291291291291291292292291291290293292291290290290290288290289290290290290292291291291291291292293292292292292292292291291291291291291291292292293293293293294294294294294295295294294294294294294294294293291291290290289289289289288289289290290290290290290289289289288288288288289289289289288288288289289288287286285285284285285285285286286286286286286286286286286286285286286286285285285284284284283282282281280280280280281281280280281281281281281281281281281281281281281281282282282283283284284284284284284283283281281280280280280281281281282281282282282282283283283283282283283284284284286286287288289289289290289289289289290290290290290290291291291291291291291290291291291291291291291291291290290289289290290289289290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277287282280999275274274276279280279280283283282277282283286285287284283284283285283283284286287287287289284284281286288286287288288290290290291292291291292293292292292291296294293294295296294294296295294295295294294294291294294293292292292293293292293294294292294293293293294295294295295294294294292295294294294295295295297295295294295295296297297297295295295295296297295297297296296295296295296296296296296297298297298296298297297296296296297297297297297297297297298298297297297296296296297297296295295296298298297298299298298297298298298299296296299298297296298298297298300301299299300299299300301300299297299298300300299299300299300300301301302300300300300300299302300299300300301300300297299300299300299302303300302302303299300302300304304304304302303303304304303302302301303302302302301301300302302301302302302302301301300301299299299298299301300297300298299299298298300299297298299298297297298298297298298298297299298298297297297296297297297297298298297297297296295294294294293293293293294293293292292293295292293293293292292292292291291291292292291290290290291291291291291291292289291290290291291289291291291291289290291293293292292292292291291291290290291291291292293293293293293294294293294294294294294294293293294294294294293293292292292290291291291291291290290290290290290289290289289288288288288289290289288288288288288288289288287286285284284285285286286286286287286286286286286287285285286286285285285285284284284283282282281281281281281282282281281281281282281281281281281281281281281281282282282282283284284284284284284284284283282281281281280280281281281281282282283283283283282282283282283284284285286286288288288289289290290290289289289289290289289290290291291291291291291291290290291291291291291291291290290290290289290290289289290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283282278278276273276279279279280282284285282282282284285286285285285285285286285285289286288289287289287285288289287289290290290290291291291292293292291292293294295296295292293295295294295295295293295294295295294294293293294294292292293293294295295294294293294294294295295295295294294293295294295295295295295295295295297295296297297297297297297297297297296296297296297297297296297297297296296296296296296297298297298298298299297298298297298297298297297298297297297297296296296296296296296296297298296298297299299300298299299300297297298297296298298295296298298297299299299298297298299299301302300299299300299299299299300301300298299301301302301301299300300302301302300300301300300300299298299302302301302299300303301301299300302302301303304303303303304304303302302302301302302302302302301300301301301301300300302301302300300300299299300299300300300300297300300300299299299298299298298298299297299300299299299298297297296297297297297297297297296297297296296296296296295295293294295295293293294292293293292294293293292293292291291289289292290289291291289288290290291291291291292290290291291290290290290290291291291292289292291291291290290290289289290290290290291291292293293293292293293293293294294294294293293294294294293294293293293293292292291292292292292292292291290290290290289289289289289288288289290290288289288288287288289289288288287285285284285286286286287287287287287286286286286286286286286285285285285285284284283283282281281281281281282282282282281281281281281281281282282281281281281282282282282283284284284284284284284283282282281281281281281281281281281282282282283283283283283283284284285285286287288288288289290290290290290289289289288289289289290290291291291291291291291290290290291291291291291290290290290290290290289289290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281279280278274273278280279280280283281277277283277285286287286286286286284284286285287288286287283286287288289287289290291291291290290290290292291292292293294294294295293295291295296294295295295294294294295295294292291290290293293293294294294295294293292293295294294294294295295294294293293295295295295295295295296297295296296297298297298298298297298295294294296296296296296294296296296296296296296296297297297297297297298298298299298298298298297298297297297297297297296295296296295295295296296297297297298299298298298298298299298295296297295296296297298297296296294297298298298298300301301301300298299299299299300299299299299298298299301301301301302300300300302300300301302300302302302301299300300298302301302302298301302300302302301302300300303303302302302300301301301301302301300302301299300300301300300299301301299302301299299300299299301300303298296298298300299299298298298299299296294296298299299297298297296297297296297297297296296296296296296295295296296295295295295295295295294293293294294291293293293293292293292291289290290291291290291291290290290290290291291291291291292290292292291290290291291292291290292292291292289290291291289292291291290290291291292292292292293293293293293294294294294293294293293293293294293293293293292292292292292292292292292292291291291291289289289289289289289290290290289289289288288288289289289288287286284284285286286286287287287287287286286286286285285286286285285285285285284284283282282281281281281282282282282281281281281281281281282282281281281281282282282282283283284283284284284284284283282282281281281282281282282282282282282283283283283283283284284285286287287288289289290290291290291291290290290290289288289289290290290290290290291291291291290290291291291291291290290290290290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280279279277275279278278280281282283280280283283279283284286287287286286283287285286287288286281286289288289290288289291291292291290291293292291293292291292293295295293293292294295296295295296295295294295294295294292290289290291291292294293294293294292293293296295295295294294295295294295292294294294295295295295296297297297297298298298297298298297297298298294295297296296296296296295295296296296295296296296296297297297297297298298298298298298297297297297297296296297296296296296295294295295296297297299300299298297298296296297298296296297297295295296295295295296297298297297299298299300300300299299301299299299299299298300301298298299299299301301302302302301299300300301303302302303301301301298299298301301298299299299299301302303303302298302302301300302301301300301301301300300299299301300299300301300300299299299300296301298300301298300299299300302296297298300300299298298299299297298296297297298298298297296296297297297296295296296296296296296296295296296296295295295295294295293294293293294294293294294294294293291292291292291291292290293291291291291291291291289291292291292292292292292291291291292292292291289291289292292290290289290291290291291290291291292292292292293293292292293293294294294293294294293293293294294294293293293293293293293292293292293293293292291291291290289289289289289289290290290289289289288289289290290289288287287285285285286286286287287287287286286286285285285285285285285285285285284284284283282282281281281281282282282281281282281281281281281281282281281281282282282282283283284284283284284284284284283283282282282282282282282282282282283283283283283284284284285285286287288288288288289290290290290291291291290290290290289289289290290290290290290290290291291290290290291291291291290290290290290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279278278277278278277279280282283284282283283284284285285286287289289286286288288289284285284282287290288288290289289289292291289289293293293293293293293293294293293291294293294295295294291295296294294294294294293292291292290290292291292291293293293292292293295295295295294293295295295295293295296295295296295295296297297295296297296298298298296297298298298294297298296298297297295295295296295295296296296297295295298297297297298298298298298297297297297297297297296297297296296295294295294295295296296295297297298298298296296298298298295295296297296295295294295295294296298298297298298299299299299298299300299298297297300298301301299298299301301302301298300300299300301301301302301299300299301301301301301301301301302302301301301302302301301299299299302302300301299298301298302301302299300301301301300300300299297300301300300301303303300298299299300298295299300300300299297299299299298297297296297298298298297297297297297297297296296296296295296297296296296297296295295294294295294293294293296295294295294294293292293292294293292292291292291292291291292292292292292293293292293293291291292293290290292292292292292290292292293292293293293294295291291291291291291292292292292292293292293293294293293293293293293293293293293293294293293293293293293293292293293293293293292292292291290290290290289289290290291290290289289289289290290290289289288287285284285285286286287287287286286286286285285284285285285286285285285284284284283283282281281281281282281281281281281281281281281281282281281282282282282282283284284284284284284283283284284283283283282282282282283283282283283283283283283283285285286286286286287288288288289290290290290290290290290290290291290290290289290289290290290289290290290291291290290290291291290290290290290290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281280279281281277278278279279281283284282283282283284284284286289288287289286287290288288287287288288289291291291292291289291293291289290294293294293293293294293293294293293294295294295296294294295295294294293294293293291292292290290289292291290289292292293294295295295296295294294294295295295295295294295296296296296296297298298297299299299298298298298298298298298298298297298298298298298297296296296295295296296297297296297297297299299298297298297297297296298297297298297297296295295296295294294295296296298296296296295297297296297297297295293295294296294296296294295294295297297297296296298299299299298299299299300296297297298301301299299299299301301302300300300299303302299300301298297298297297298301301301302298301301302302300301300301300299302299300302302300297298298298299300297297298299300300299297298298299298297296296298301301301301299299299299300297296297300300299299299298298297296298298297299298298298298296297297298297297297296296296296297296296296296296296295295296295295295294295294295295295294293293293293293293293293292290291292291293292292292292292292291293294294293293291292290291292292293292292293290293293293293293294294294293293291291291291291291291292292292293293293293293293293293293294293293292293293293293293292292293293292292292293293293293293292292292292291291290290290290290291291291291291290290290290290289289289289288286284284285286286287287286286286286285285285285285286285286285285285285284284283283282281282281281282281281281281281281281281281282281281282282282283283283284284284284284284283283283284284283283283283283283283283283283284284284284284284285286286287287287287287288288289289290289290290291291291291291292292292291291290290289289289289289290290290290291290290290290291290290290290290290290290290290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280280277277279279279280281283284285282283286280279285287288287286287287287291290290285284286289290290288291292290291291290293294294294293294295294294294294294291291293294294293294295295295292293292293294292293293293291288291290290290293293287286287289293294295295295295295295295294296296296295295295295296296297297296297298298296297296298298297298299298298298296296297299297298294295298297297296296295296296297296296296296297297298298298298298298299298297297298298297297296296295295295295295294294297297297296295294294295297293297297296295296296294296294294296295294293297298297296297297298298298299299301300299300300297298301301299298299299299300302302301301299298298301298298298297298298298298297300299300300298298297301301299299300302300300300302299300300298299298299300301300298299297296299299300299300300300297296297299300301301301301301299300297295297299300300297297300300299298297297296297296298299299298298298297297297297297297296295297297297297297296295296296295295295296294295296295294294295294294293293292293293294293293292294291291292292293292291293294294294295292294294292293295294293292292293292292294291294293293294294293293294293294292292292292291291292292292292292293293293293293293293293293293293293293292292292292292292292292292292292292293293293292293292292292292291291291291291291291291292291291291291291290290289289289289288286284285286286286286286286286286285285285285285285285285285285285285285284284284283282282282282282282282281281281281281281282282282281282282283283283284284284285285285284283283284284284284283283283283283283283284285284285285285285285286286286287287287287287288288289289289289289290290290291290290290291291291291291291291290290288289289289289289290291290290290290290290290290290290290290290290290290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278279276277280280282282283284284284284283281282286287287287287287287285289291289288285291290290290292291290291291292292290294294293293294294295294295294295293295292293294293294294294293294293292291292292291292291292290292292291291290292289292288291290293294294294294295295296296295296296295296295295294297297297298297297298298295296297297299299299298299299299298297297299298295295295298297296297297296297297297296295296297297297298298298298298298298298299298298297296296296296296295296295295294295297297295295294293294293294295297296294296296295295295295295293295295293295297297296297297297298298299299300300299299301298297297298298299298299299300300300301300300300302301299302301297297298297300296300300298299296297297300300301300301302302301301301300298296300298297297299300300298298297294300300301300300301301298301299300298299300300299299301300298300300300300300296300300299300299298298297297298297300299299299298297297297297296297296295296298296297296296295297295297296297296294297295294294295294294295295294293294292292293293294294295293292294293292291293293294295296295294294293293295294293290292292291293293293294294294294294294294293290293292292293292292292292292292293293292292292292292292292292292292292292292291292291292292292292291292292292292293292292292292292292292291292292291291290291291292292292292292291291290289288288288289287285284285286286286286286286286285285285285285285285285285285285285285285284284284282282282282282282282282281281281281281281281281282282282282283284284284284285285285285284284284284284284284284283283283283283284284285285285286286286286286287286287286287287288288288289289288289289289289290290290290291291290291291290290291290290289288289289289290290291290290290290290290291290290290290290290290290290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277278279280280282281278281282284284284286286285286288288287289286287287289289288291289290290291291292289289291292293293293292295295293293293295294293293295295293293293294294294294295295293294294293292290291289288289289290290290290290999999291292293290293294295295295295295296296296295296296296295295295297297297298298299299299299298299299299299299299299299300300299299298298298299299298298298297296296296298298295296296298299297297298298298298298298299298298297296296296296296296295295295295294296295297296296295296295295295293295292294294296295293293294294295295294294295294295295296297297297297298298299299299299299298297297297301299298298299299299299300300299299299299298298298298298297300298299299299299299299299298299298300301300301301302301300299296295298297299297296298299299298298297297299300300300300300298298298298301301300301301300301299299299299300300300299299298297299299299299299298299299299299299299298297297296296296297297296296297296296296296296296297297297297296295295295295295296295295295295294293294294293293294295295293293293294293293293294294293295294293296295294294293293293292292292292292293293293294293294294294294293294293293293293293293292292292292292292292292292292292292292292292292292292291291291291291291291292291291292292292292292292292292291292292292292291291291291291291291292292291291290290289289288288288288286285285285286286286286286286286285285285284284285285285284285284284284284284284283282283283283282282282281281282281282282282282282282282282283284284284284285285285285285284284284284284284284284283283283284284284284285285285285285286286286286286286286286287287287288288288288288288289289290290290290291291290290290290290290290290289288288289289290291291290290290290290291290290290290290290290290290290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273999999278279276281281279281281281281281282285285284286284285287288287287287288288288289289289291290290290290290288291292292292292293293293294293293293294294293293291293292293293293294294295295295296294294293292291291290289286289288289289286291999288288293293295295293295294296294295296296296295296296297296296296295295296296297298298298298298299297299299299298299299299300299300298297297297297296299296297297294295297298298297297297297298297297297299298298299299299297297296296296296296296296296296296295295295295296295295294294293293294294293292293293293293294292294294295295295294295295294294295296297296296297297299300297299299301297297297298297298297297298298298302299299299299298299297297298298298300296297295295295299299299299299299300299300301302301300300299299296298300298298298298298297299299300300299299298296300298300297298300299299300301299299301298296297299298297296300299298295298298299299299299299299299299299299299298297297297297296297296296296296297296296296297297297295295296296297296296296296295295294295295295294295294294292293295295293293294295293295294293293295295295295294294294293292291291291292290291291290291293293294293293291291290293294294294293293292292292292292292292292291292291291291291291291291291291291291291290290291291291292291292292292293292292292291291291291291291291291291291291291291291291290290289289288287287287287286285286286286286286286286286286285285285284284284284284284284284284284284284283283283283283282282282282282282282282282282282282282282283284284285285284285285285285285285284284284284284284284284283284283284284285285285285285285285285285285285285286286286286287287288288288288288288289289289290290290290290291291291291290290290290289289288289290290290291290290290290290290290290290290290290290290291290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279999280279281281278280281280281281282282282283286286286284286287287287287287286289289288288289289288291291291290291291290291293292294295294293293293293293294295295294294294294294294294295294294295295294293294291292291291289290289289287288289291290292292294295295295296296296295295294295296296296296296296296296296296295295296297298297298298299298297298299301299299300300300299300300298298298296296297297296297296299297298297298297297297298299299298299299299298298297297297297296296296295295295296296296296296295295293294295297296294293294293292293292292292294294294293295296295295295295295294294294294295295295296296297298300300300301298296296297298297296296297298301299301299299299299301297302296297296295295299298299299295298298299299299300300301301300300299299298298294299299298297297297297297296297299299298297298298299296298299300298300299299301298299300296296296297300300300298297298298299299299298298299299298298299300299299298297297297296296296296296297297297296295296297298297297296297296296296296296296295296295294295294294294292294294295295295295295295294295296293296295295294292292292293291291289291291291290290289291295293293293292293293293293293293293294294294294293292292291291292291291291291291291291291291291291291291291291290290291291292292291292291292293293292291292291291292291291291291291291292291291291291291290289288287286287287286286285286287286286286286286286286286285285285285284284284284284284284284284284283283283283282282282282283282282282282282283283283283283283284285285284285284285285285285285285284284284284284284284284284284284284284285285284285284285285285285285285285285286286287287287288288288288289289289289290289290290290290291291291291291291290290289288290290290290290290290290290290290290290290290290290290290291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283279278279281280279282282281281279283284282285285287284287289287287287286290287289289289289289288291289291290289291292291292291294294294294293294294295294295295295295294294295295294294294294294295295294293293294292292292289288290290289288286292292294295295295296294296296296296295294294295296296296296296296295296296295295297297298298296298298297298300299301300300300300301299301301297299299297297297298297296297299298296297296298297297298299297298299299298298296296296296296295296296296296295295296295295296295295294293296297296294293293294292292292292293291292294294295294294295296296294294294293293294293294294294295297298296300301301301297296297298297298298297298298299299299300299300299299298297296296298297298298298297298296299299299298298299300300300299300299298297298297297297298299296297298297299296299297296298298298298297300299300300299299299300299300298299300301299301299298298298298298297296298298299299298298297298298298297297297296296296296297297296296295296295298298296297297297297297297296297296296296295294294294294295292295294293293296294295294294294293296296294292292291291293293292292292292290293293295293292291292293293293293293293294293293293293293293293293292292292292291291291291291290291291291291291291291291291291291291291292292291291292292292292293292292291291292292292291291291291291291291291291291290289288287285285286286286286286286286286286286286286286286286286285285285284284284284284284284284284284284284283283282282282283283283283283284283284284284285285284285286285285284285285285285285285285284284284284284284284284284285284285285285285284285285285285285285285285286287286287288288288288289289289289290290290290290290290290290291290291291292292291289288289290290290290290290290290290290290290290290290290290290290290290290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286285284278279278279281276282281281281282284284284285284284287289287287288288289289289289289288288288290290290290290291292292292292291293294293294294294295294295295296295294294294294294295295295295295295295295295295295294293292292290290290288289293294293294296295295295295294296296296295295296295296296297296296296295296296297296296298298299298299299299299300299300299299300299300299299298299300298299299297298297297297298297297297297298298298298298301298297298297297295295295295295295295295295296295295295295295295296294294294294297295294293293295295293292291292291292292293294294294295296296295293293293293294294293293292293294294298297297297297297296297298297297297297298298297298299299302299299298296296295294298298299295299294295299297298298299298298298300300296296298297297296296298297299295297295299296294298299296296296299299299299300299297298297295295297299298298296297298300299300299298296297298299300299299299299299298298298298297297297296296295296296297296296297296296298296297296298298297297297296296297297296295294295296295295295292295293293293293294294293294294293294294293291291291293293293293293293293289293294291293294293290292293294293293293294293291293293293293292292292292292291291291291291291290290290291291291291291291291291291290291291290290290291291292292292292291291291291292292291291291291291290290290291291290289288287286286286286286286286286286286286286286286286285286285285285285284284284284284284284284284284284283283283283283283283283283283283284285286286286285285286285286285286284285285285285285285285284284284284284284284284284285285285285286285285285285286286286285285286287287287288289289289290290290290290290290290290290290290289289290290290291291291290289289290290290290291290291291291290291290290290290290291291290290290290290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289285284282280279281281281283284283281282283284286285286286286285284286287287288288287289290290288290290290290290291290291292292292292292293294294294294295295296295295295294294294295294294295295295296296296296295296296294294293293293289291293999292295294294294296295295295296296297297296297296295295296297297297296295295296296296296296297298299299298299299299299298299299300299299300299299299299300298298298296296296296295298297297297297297297297298297298297296296296295296296295296296296296296295296296295295295294294294293293294294293294294295294294293291291293291290292292293293294294295296296294294293292293293293294291291292292291292297296296297297298298297297295296296296298297297299297299297298297297295294298295295293296296296298299299297297297299298298299298295296297296298297298296299298297297295296298294294296298297298298298298299299295297296297297296295299300300297298299299298298299297298298298299299299299299299299298298298298298297297297296296296296297297298297297297295297298298297298297297297296296296296296296295295296294294295295295294294293293294294294293293293293294292291291291294294291291291291290294294294290291293292291293290292293293292293292293292293293293293292291292292291291291291291290290290290290290291291291291291291291290291290290290290290290291292292292292291291291292292291291291291291290290290291290290289288288287286286286286286286286286286286287287286286286286286286285285284285285285285284284284284284284284284284284284284284284284284285285286286286287287287287287286286286285285286285286285286285285284284284284284285284284285285285285285286286285285286286286286286287288288289289290290290290291291290291290290290291290290290289290290290290291291291290289289290290290290290291291291291291291291290290291291291291291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288286283281278281281281283281282283282282284287286285286287287286283288288286288288285288288288289289290290289292291291292292293293293294294294294294295296295295295295295294294294295295295295295295296296296296295295296294292293293292293291294999999294294295295294294296296296296297297297297297296297297297297296297296296296296296297296297298299299299299299299300300300300299300299299298299298299299297298298297298296297297298298297297298296297297296296298296297296295296296296296296297297297296296297296295295295294294293294295294294296294292292294293292291294293291290291292294293292292293295295294293292291295292295294292292292291288286293294295296296297297297294297298297297298297297297296299297296296295296294293295294293294294296298298298297297297297297296297298298295298298296297298297295297296295295295298298298296299298299299298298298301298299299298296296295296296299296297298297298299298298298299299298299299299298298298297298298298298297298297297296296297296297298298298297297298298298297297296296297296297296296296296294295294293294294294294293293294293292292291292292293294293293293295294294294292291293289291292291293293292294291291292292293291292293292292292293293293293293293292292292291291290290290290290290290290290291291290291291290290291290290290290290290290291292292292292291291291291291291291291291291290290290290290290289288287286286286286286286286286286286286287287287286286286286286285285285285285285285285285285284284284284284285285284284284285286286286287287287287288287288288287286285286286285286286286286286285285285284284284284284284285284284284285286285285285285285286286286287288288289289290290291291291291291291290290290290290290290290289290290290290290291291290289289289290290290291290291291291291291291291291291291291291291291291291291291292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291287284284282282280282284283281282283283285285287286286288288288288288289286290286288288288288288288288287290292290291291291292293293294294294294294294295295295295295295295294294294294295295295296296296296296296295296295294292294294293293293294294296296295294295293296296296297296297297297297297297297298297297297297297296297297297298297297299299299299299299299299299300301300299299299298298298300299299299299298298298299298297297298297297296296297296298297297297296295296296296296297297297297297296297297297296294294294295295295295294296295295293293293292294294293291290291292292292291291293293294294294293293295294294293292293292292288287286290294295295295296295296297296300296297298300300299299298299295294294294298297295296299295296299294293297297297297297297298297297295296297298298298298297297296294296297297297299298298298299297297298298298298298297298298297297298298299299298298298299298297298297297298298298298299298298299298298297296298297297296296297296295296297297298299298298297297297298297296296296296296296296296294295294294293294294294293293293294293292291291292293293293294294295294294294293292292293293294295291295295295295294293293294292292292292292292293292292292293294293292292291291291291290290290290290290290290291290290290290290290290290290290291291290291290291292291291291291291291291291291291290291290290290290290290289288287286286286286286286286287286287287287287286286286286286286285285285285285285285285285285285284285285285285285285284285286286287287288288288288288287288288287287286286286286286286286286286287286286286285285285284284285285285285285285285285285285286286287288288289289289290290291291291291291290290290290289289289289290290290290290289289290290290290290289289289290291291291290291291291291291291291291291291291291291291291291291292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291287286284282284282284285283283285285286286287287287288288287288288289288287288288288287289288287286287290292291291291292292293293293294294294294295295295294295295295295295295295295295295296296296296296296296296295295294294294294295293293293295295295296296295295296296296296296296298297297298297297296296297298297297297297297297297297298299299299299299299300299299299299300300299299299298298299299300299298298297299299297297297296296296296296296296296297297297296296296296296296296296297298296297296297297297296295294293295295295295294296295295294294293293291292291289290291291292292292291293294294294293294293294294294293291293291292290287285287292294294295294298296297297296296298296297300299297297296295294294296298294295295294296296298297294297297297296297297297297299296297293294295297295297297295295294298299298297296298299299297295297296297297297296298297294297297298298298298295294296296297297298296298298298298300298297298298297298297297297296296296296296296295296296296298298298298296297297297296296297296295297296295295295294294293294293293293292292294292292292292292292292293294295295295295294293293293294294289290292295294294291294294292293293291292292292293293292292292293293292292292291291291291291290290291290290291290290290290290290290290290290290290290291291291291291291291291291291291291291290291291290291290290290290290290289288287286287286287287287287287287287287287287287286287287286287286286286286286285285285285285285285285285285285285286285286286287287287288288288288288288288288288287287286286286287287287287287287287287286286286286286285285286285285285285285286286286287287288289289290290290291291291291291291291290290290289289289289289289289290289289289290290290291291290289289289290290291291290290291291291291291291291291291291291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290286283283283282283283285283284285286286285288288288289288289289287288288288289288284288287288287286290291291291292293292292293293293294293294294294295294295295295295295295295295295295295295296296296296296296296295295294294293293294292292295295295296296296295296296296296297296296297298297298297298297296297297297296296297299297297298298297300300299299299299300300299299299301300298300299299299299299299297298298298298298297296296296297297296295295296296297296295296296297297297297297297298297296296297296296296296294296295294294294295294294295294293293293292292293291291291291292292292292293294294295294294294294293293293291292289292290289288289288290291294294295296296296295296297297296296297296295294296294298295296295296296294294296297297297297298296296296298297297297298298294294294296295295296296297298298298299298298298299293293296297295297298297297297297298298296298296296297298294295297297296297297297297298297296297299299297298298297298298297297297296296296296296296296297297298298297298297296296297296296296296296294296295294293293293293292291292294293292292292292292293293294295296294294294294294294294294294291294294291294293295294290291292293291290291292293291292292292293292292292292291291290290291291291291290290290290290290290290290290290289290290290290290290291291291291291291290291291291290291290290290290290290290290290290289287287287287287287287287288287287288287287287287287287287287287287286286286286285285285285285285285285285285286286286286286286287287287288288288288288288288288288287287287287286286287287287287287287287287287287287287287286286286286286286287287287287287288289289289290290291291291291291291291290290290290289289289289289289289289289289289289290290291291290290289289290290291291290290290290291291290291291291290290291291291290291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289286284283285285284282283283284284286286287288289289288288288289289287288288288288287288288286288287290288288291290291290293293294293293294291294295295296296295295296295295295295295295295295295296293294295296296296296295295295292294295295293296295294296294295297295297296296297297297298298298298298299298297297298298297297297298297297298298297301300299299299300300300300299299299298298298299299299299301296297297298298298297297297296296296296297297295296296297296296296297296297297297297297298296296295296296296296296295297296295295295295294294293293293293293293293294293292292293293293293293294294294296295294293293293293293291291292292290288288288290288291291294294295295296298296297297295297295295295294298298299296295295294296294294295296298299298297296296296297298297297297297298295296296296294296295296296296296298297297297297297297296296296298299299296298297296295295296296296298297297298296296296298295296295296296296296298299295297298299298298298298297296296296296295296296296295297298297297297296297296296296296296295295296295293293293293293292294293293295295294292293294294295295296295294294294294295295294294291294292293293294293293293290290291292292292292293293292292292292292292292292292291291291290290290291291290290290290290290290290290290290289290290290290290290290291291291290290290291291291290290290290290290290290290290290289288287287287287287287287288288288288287287287288288288287288288288288287287286286286286286285285285285285286286286286286287286287287288288288288288288288288288288287288287287287287286287288288288288288288288288287287287287287287287287287288288288288288288289289289289290291291291291291291291290290290290290289289289289289289289289289289289289289290291291291291290290290290291290290290290290290291291291291291290290290291290290290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291285283280286287284282285285284285286286288288289289290290289289288287287288287287288288287287289287290290291290291291293292293293294294294293295294294295295295295296295295294295295295295295294295295295295295294296297296295296296295297297297297296296295297296297297297297297298297297299298298298298299299298297297297298298297297297297299299298300300300300300300300299299299299299299299299299300300299300298298298298298297297297296296296298297296296296296297296296296297297297297297296297296296296296297296296296297296297297296295294295294294293293294293291292293294294293294293294294294294294294294295293294293293293292293292292292292292290288286285284288290295292294293294294295295298295295295295296298295295295296295296296295297295294293296298299297299297296296296296297297298297296298295298298297295296296294294297297294294297298297298297297297297298299298297298298296297297298297297298297298298297298298299297294296297299299300298297297298297298297297297297297296296296295295296296295296297297296297295295295294294294295295295296294292293294294293294293292291294295295295294294295295295295295295294294294293294294291290290289288293290290292293290290287289292290292291293292291291291292292292292292291290290290290290290291291290290290290290290290290291290290290290290290290290291291290290290290290291291290291290290290290290290290290290290289288287287287288287288288288288288287288288288288288288287288288288289287287287286286286286286286286286286286286286286286287287287287288288288288289289289288288288288288288288288287287287288288288288288288288288288288288288288288288288288288288288289289289289289289289290290291291291291291290290290290290289289289289289289289289289289289289289289289290290291291290290290291290290290290290290290290290290290290290290290290290290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289290287285287288287283280284284285288287287288289289289290290289289288288287288288287287287287287289289290290290292291291293292292293294293293294294294295294295295295295295295294294294295295296296295294295295295295295296296295295296295296297298296297296297297296296296297295297298297298298298298298298298298298298297297298297297298297297298298298300300299300300300299298299299298299299298299299299299299299300298297298298299298297297297297297297297297297296296296296296297297296297298297297296296295297298298297297296296297297297296296295294295296294294293293293294294294294294295294295295295295295296295295294294294293293293293293292292292291289283286284288291292291292291292293295293294296294295294295295294294295294295297296295296296295297295299299297296299298296294296294293298297296297295297298297295296296295294295296296294293296298297298296295297298297297297298299299297298301300297297297298298298298298298293295295296296299299299297297298297297298298297297298298297296295294295295295296296296295295296296295296295295296295295295295294295295295294294294292292293294294295296297296295295296296293293293293291294294291291291293292289290292288292291289288289288291289290289291292292292292292292292292291291291291291291291291291290291291290291291290290291290290290290290291290291290290291290290290290291290290290290290290290290290290290290290288287287287288288287288288288288288288289288288288288288287288288289289288287287287287287286286286286286286286286286287287287287287288288288288288288288289289288288288288288288288287287287288288288288288289288288288288288288289288288288289289288289289289289289288289290290289290291290290290290290290289289289289289289289288288289289289289289289289290289290291291291290290291290290290290290290290290290290290290290290290290290290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291291288286288287287285285283284284285289287288288289289289290290290289289288287287287287287287285287287288290291291292292292292292292293293294295294294294294294294294294295295294294294294294295294296295295295294294294296296295291292293296295297297297297297296297296297296296296294299298297298298298298298298299298298297298298298297298296297297298300300300300300300300299299299299299299299298299297299298298299300298299298298300300299298298299297297297297300297297299298297297297297297297297297297297296298296296297297296297297297297296296297297296295293294293293293293294295296295295295295295295296296296296296295294293294293293293293291290292291288285288288290290290292292295298298300294298293294298293294294293293294294295296296296296296295296294297298297296298297298297297293297298297296297297295295293295295295295294294295296294294296296297294299297298299298298297300297299298298298298298297297297297295296298298294296295295296296299300299299298298297298298297297298298296296296294294295295295295295295295296296297297296296295295295294295294296295295296295295296296295296297296297297297296296296295294294294295295295290291291288291293291293289289292292292288289290290289288288289291291292291292292292291291291291291291291291290291291291291291290290291291291291291291291291291290290291291291291291290290290290290290290290290290290290290290290289288288287287288288288288288289289289288288288288288288288288288289289288287287288288288287287287287287287287287287287287287287287287287287288288288288288288289289289288288288288288288288288288288288288289288288289288289289289289288288288289288288289289289289289289289290290290290290291291290290290290289289289289289289289289288289289289289289289289290289290291291290290290291290290290290290290290290290290290290290290290290290290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292290290288288288288287285284284286286286287288287289289290290289291290289288288287287287287287287286286286287291290292291292292292293293293294294295294294294293293294293294294294294294294294294296296295295295295295296296297295999292295292295297297298297298296297297297297297297296296296296297298299298299298298299298298297298299298298298296296298298299300300299300300299299299299299299299299299298298298298297298300298298299299300300299299299299298297297297300298297298298297297298297297296297297296297297296296296297297297297296296296295296296297297296295294293294293294294296296296295296296296296296296295295295295294294297294295295295292292291291287286289293294294297296295298299295299298295297298298294295295295297294294298297297295295295296294294296297296299297298295298296298297298296296296296295295296295294296296294296295295294296296296296295300299298298297298297301298297299298298298299297297296297298297299300298298296296299299300298295296296297298298297298298297298298296295294293294294295295294295297297296297297296296296296296295295295295295296296296297297297297297298297298297296297297296295293293295295292292289292294292293291294294293293293289289292291289290289289290290291292292292291292292292292291291291291290290291291291291291291291291291291291291291291291291291291291291291291290290290290290290290290290290289290290290290290289289288288288288287288288288288289289289289289289289289288288288288289289288287288288288288288288288287287288288287287286287287287287287287287288288288288288288289289289288288288288288288288288288288288289289289289288288288289289289288288289289289288288288288290290290290290290290290291291291290290290290290290289289289290290289289289289289289289289289290290290291291290290290290290290290290290290290290290290290290290290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291290291290290288288287286286285283282284284287287289289289290290289290290289287288287286286287286286285285285287289290291290291291293293292292292293295294293293293291293293294294294294294294294295296295295295295296296297297298298297295294999293296296294297299298298298298297297297298298296297298298299298298299298298299299298298298298298297298298298299299299300300299299298299299299299298297298299299298297298297297298300298300300300299299300299299298298298298300299298298298297297298296298297297297296297296296297297296295297296296296294296296297297299299296295295294293294296298296296296296296295297297295295295295294293294296295295293293292292292291287287291294294297297294293299296295298295295294297294298294293293294293294296299296298297295296294295295296294298295298297298297298297298293295296294296295295293293296295293295295297298296295294295294299300301296298297298298298300301299298299298297299298298298296296296296298296296295296296295297297297298297298297298297298297297295296294294293293294294294293296297296296297297297297296296296295295296296296297296295297297298298297297296297297296297296295294294293294293291291291291289289289291291291290290289288291290289292289289291290291291292292292292292292292292291291291291291291291291291291291291291291291291291291291291291291290291291291291290290290290290290290290290290290290290290290289289289289289288288288287288288288289289289289289290289289289289288288289289288288288288288288288288288288288288288288288287287287287287287286287288288288288288288288289289289289288288288288288288289289289289290289288288289288289289289289289289289289289289290290290290291291290290291291291291291291290290290289289290290290290290289289290289289289289289289289290290291290290291290290290290290290290290290290290290290290290290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284999294999287288288290288287287287287287286285284284285285287288289289289290290290289289288287286287287288286286285284284283285286290290290291291291291292293291294293293293293292292294294293294294294293294295295295294294296296296296296296296296296294999999295295297297298298298296298297298298298298298298298299299298299299298298299298299299297298297298296297297297297298299299299299299299299299299299299299299298298298298297297299300299299299300300300301300300299299299298299299299298298298297297297298297298297297296296296297297297296295296295295295295296296297298298299297296295296296296298297298298296296297297295296295295295294293296295295296296295296293294294292288285293294296295297297292298294292295295297295293294294294293293294297293297295297297300298297297297300297297300299298295297298300298293294297297292296294294295296296296294295295298298298298298295294294296300297298297298297297299299299298299297297297297297298295297295296298298298296296296297299297297298298298297298298297297296297296294293293294293294294294296296297296295296296295292295294295295295296296296295295296296296296297296296296296296297294292294295294294294292293294292290290291292292290290291288289288290289291289291290291290290291292292292292292292292292292292292291291291291291291291292292292292291291291291290291290291290291291291290290290290290290290290290289290290290290290289290289289289289289288288288288288289289289289289289290290289289289289289289288288288288288288288288289289289289289288288288288287287287287287287288288288288288288289289289289289289289288289289289289289289290290289289288289288289289289289289289290290290290290290291291291292291290291291291290290290290290289290290290290290290290290290289289289289289289289289290291290290290291290290290290290290290290290290290290290290290290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293289288286999285286287286285286287287286287287287285287286286287288289289289289289289289288288287286286287287285283284284284285285285287287288289290288291290291292292292292293293293293293294294293294294293294294295294294294295296297296295296296294999999999999294295296298298298297298296296298297298297298297298298299299299299298299299299299299298298298298298296297297297299299298298299299298299299299299298298298298298298298298298299299298300300301300301301300300299299299299300300299298299298298299298297298299297297296296297297297296296296296296296294295296296297295296298297297298299296296299299299299297296298298295294294294296294294296293293297295294294297295295293290286292293293296296293294296294294295297296295294296298298295295294297296298297298296299298297299298297298296298298298297294294298297296297297296294296295296297299297297296297298299299297299297296294299299299300297296296297298297300297298297299299298297299297299299295296296297297297298295299299298298299298298298297297297297297296296295294294294294295295294295296296295295296296296294296295295294294294293295294294295295296296295297296297296296292296295295295294294294294294292292292289291291290293292292288288291289290290290289290292290290290292292293293293293293293293294293293292292292292292292292292292292292291291291291291291291290290291290291290290290290290290290290290290290290290290291290290290290290289289289288288288288289289289289289290290290289289289289289289288288288288289289289289289289289289289289289289288288288288288287288288289288288288289289290289289289289289289289289289290289289290290289289289289289289289289289290290290290290290290291291292291291291291291290290290289290290289290290290290290290290290290290289290289289290290290290290290290290290290290290291290290290290290290290290290290290290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283283283287287284286285285285288288288286286286288289290289290290289289289288288287286285286285285284284283283283283284284285287287287289290290290291291292292293293294293294293294294293294294294294293294293293294295296296295294294294292999999294295296295295297298298298298297297298298297297298298298298299299299298298299299299298299299298299298298297296298297299299298298299299299299299298297298297298298297298298299298299301301300300300301301301301300300299299299299300299297297299299298298297297297296297296296297296296296296295296296296295295295297295297298296297299299299297297298299297298298296298296296295295296296295295293294294294294294294295295294293291287291292294292293293292293295295295295296295295298299298298297295295297298298300300298298296298298298299299298298298295294296298298299298297298298297297296296298299297297297297297298299299299297297296299299299297297296298300300299300296298300301298297300299299299295296295297298298299300300300300300298300298299298296297298296296297295295293294294295295295295295295296295295297295296295295295295293295292296296293294295295295295295295295296295292294295296296296297295294294294293292293292292292293292291292291289289289290291293292293291291291292293293293293294293293293294294293293293292292292292292292292292292292292292292292292291291291291290290290290290290290289290290290290291291291290291291291291291291290290289289289289289289289289290290290290290290289289289289289289288289289289290290290290290289289289289289289289288288288288288288289289289289289288289289289290290289289289289289289290290290290290289289289289289289289289290290290290290291291290291291291292291291291291290291291291291289290289290289290290290290290290290290290290289290290290290290290290290290290290290290290290290290290291290290290290290290290290290291290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999284283285286286284284284285285285287286286286283285287288289289290291290290289288288288287286284284284281281280280281281282284285281284286286288289289291291292293293293293293294294293293294293294293294295294293294293293295295296296294291291999999296296296296297296297298298298296297298298298297297297297298298298299298299299299299299299300300299299299298297296297298299299297298298299299299299299298298297298298298299299300299300299301300300301301301300301301300300299299298297299300298298299298298298298297297296297296297297296295295296296295296295294295296296297298297295300299300298298299299297297296297296296296295295296296296294295295293293295295295294294292293292290294292293293293293293292294293293298296297295296298298297298297296297296297299298296297298299299299297298297299297297297297299298298297298297297298296297298296299297295295297297297297299297298297298298299299298298298297297297295298297297300299298297297298299298296294295296297296300300300298298298298299299298298296296297296296295295295293294294295294295296296295294296296295297295294293295296295294294294294293294296295295295295295295294295293296296295295296297295295294293294289292292292292291292291293290289289290290289291289289291291291293293294293294294294294294294294294293293293293293293293293293292292292292292292292292292292292291291291291290290291290290291290290290291291291291291291291291291291290290290290290289289289290290290290289289290289289289289289289289289290290290290290290290290290290290290290290289289289288288288289289289289289288288289290290290290290290290289289289289289289289289288289289289289290290290290290290290291291291291292292291292291291290290291292291291290290290289289290290290290290290290290290290290290290289289289290290290290290290290290290290290290290290290291291290290290290290290290291290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999283286286284281283285286286285286287286286284286287289289289289291291290289287287286285283283281280281280281280282280283282283282283285287289289290291291292293294294293293293293293293293293293293294294294292293294295297295296295292291290999297296297296295296296297298298298298298297297298297296297298297298298298298298298298298299300300300300299299298298297298298299297298298299299299299300300300298298299298299300300300299301299300300300299302301301301301300300300298298297298298299298298298299298299298296297297297297296296296295297297296296295295295296296297298298298299300298298300298296296296295294295296296296296297297295293294296293295293294297295293292294292295296296293294294294293294294292294295296298297295297297296296295297299299295299299296298298298299299299299298299298299299299297298298298297298298297297296297296296296294294297297297297297297299296298298296300298298297297298296296297299298298299300298297297299299298295296297297299300301300301298298297298297296297296295297296296296296295294294294295296294294294297296296296296295296295296296295295295295295296294295295294295294296294294294294291296297295294294294294295295292291292293292291291292293291291292290291291291289290294293291291292293294294295294294295295295295295294294294294294293294293293293293294293292293293293293293293293292292292291291291291291291291291291291291291291291291291291291291291290290290290290290290290290290290290289289290289289289289289290290290290290290291291290291291291291290290290290289290289289289289289289289289289289289289289290290290290290290290289289288289289289289289289289290290290290290290291291290291291291291291292292291291291291291291291290289289290289289290289290290290290290290290290291291291290290289290290290290290290290290290290290290290290290290290290290290290290290290290290290290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286284283285285284285284285285285285285286285285284287287288289290290290291290288286285284282281280277280281281280280280279282283284287288288289289290291291293293294292293293293293293293293293293293293294294294293294295296296294292292289290999300296296296296297296295296297298298297297297297297297297297297297297298298297298299299299300300300299299299300299298298299299299299299299299300301300300300300298299299299299301301301301301298300300300300301301301301301300300298298298297298298299297297297297298298297296297297297297297296297296297296296296295296297295296297297298298298300300299298298298298294294295295296297297296297296295295297296296296295295293294294296296296292293293295295295294293293293298297295296293294293293294294295295296300299299299298298298299299299300300299300299299298298295297297298298297298296297297296296296299298299296297298298299299297298297296297297298298298297298297297296298296296297300298298298297297294295296297297297299300300300299297299297297296299298298296296296296296295295295295295295294295296296298298297296296295297297295295295296296297296296295297297295295297295296295296295295295296295294298293292294296295291292293293292292292294294292292292292291291291291292291292292293293294295295295295295295295295295295294294294294294294294293293294293293293293293293293293293293293292292292291291291291291291291291291291291291291291291291291291291291291291291290290290291290290290290290291290290290290290291291291291291292292292292291291291291291291291291290290290290290289289289289289290290290290290289289290289290290290290289289289288288289289289289289290290290290290290290290291292291291291291291291290290290290291291291289289289289290291290290290290290290290290290290290290290290289290290290290290290290290290290290290290290290290290290290289289290289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288286285283285285284280281285284285286287287287285285287288289289290289290290289289287284282279279279280280279279281281282282285287289289290289290290290291292292293292293293294293293293294293293293293293294294294294294294294294292289291292292999297296296296296296296296297298298298298298296296297297297298296297297297298298298299299299299300299299299299299299299299299300300300300300300301300301300301301301300300300300300301301302302301300300300301301301300300300299299298298298298297297297297296296296297297297298297297297297298297296296297297297296297296296296297297297298299300297300298298296298297295295296296297297297297296296295296296296295295293296296293292295292294293292294294297297297295293297298298294296296297297298298296295295296297300297300297296298299299300300299299300300300299299298298298298298298298298298296296296298298298297297298298298298298298299299299298297297297299297297298297300297299297298298297298297297297295297299300298300297300298298299299297298298298298295295295295297296296295295295295295296294296295296298296297299299299300296295295295297297297296296296295296295295296296296296296294295296296296294294294293297295295295295293293293295293295295294293293292293294293292291291293294293294295295295296296296295295295295295295295295295294295295294294294294294294294294294294294293293293293293292292292292291291291291291291291291292292292292291291291291292292291291291291291291291291291291291291291292292292292293293293293293293293293293293293293293293292292291291291290290290290290289290290290290290290290289290290290290290290290290289289289288289289289289289289289290289289289290291291292291291291291291290289289289290290290289289289290289289289289290290289290290290290290290290290290289289289289289290290290290290290290290290290290289290290290290290289290289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288285284286281284286284287287287287287288287287286287288289289289289290291289289286283280278279280280279280281282283284286289290290291290292291291291291291293293293294294294294294295294293293293292293293294294293294295295295294292293294295293296296296295295295296296296297296298298297298298295298297297297296297297297297298299299299299299300300299299299299299299300300300301301300301301302301301301302302302300300300300299302302302300300299300301300300299300300299298298298298297297297297297297296296296297297297297299298298297298297296296296295296297297297296296296297296300298299299297298298297296296295294296296298297295295294296293295297293294295293293295294296296295293295296298298296298294295295296293293293297297297295295294296296296297297298300301299299299301300300300300299300299299300300298297299298300298298298298298298297299298298298298299298298298298299298296299298298298298297297297298300298298298297297298298297296297298298300301299298297300298298298297298298298298297297296297294296296296295295295295296296298295299297297297299300300299299297295295297299299297296297297297296295297295297296295295296296295296296296293296296297296295296294293295294295294295295295293293293294294295295293293294294294294295295295296295296296296296296296295296296296295295295295295295294294294294294294294294293293293293293293293292292292292292292291291291291292292292292292292291292292293293292292292292292292292292292293293293293293294294294294295295295294294294294294294294293293293292292292291291291290290290290289290290290290290289289289289289290290290289290289289289288288288288289288289289289290289290290291291291291291291291290290289289289289289289289289288289288289290290289289290290290290290290289290290289289290289289289289290289290289290290290290290290289290290290290290290290289289289290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286285283285285285283287288284287287287287288287288288288289289288289290288288285282279279279278279281282284284287289289287289290290291291291291291292292292293293292292294295295294294294293293293292293293294293295295295295295296295295296296296296296294295295296296296296296296295296296297296296295295296296296297297298298298298299299298299299298298297299299299299299299299301301302302301302301302302302303301301300301300301302302300300301299300300300299300300300299299298298298298298297297296297296297296296298297297298299298296296296297296296295297297297297296296296297300298299299299298298297296295296296296296296298299295295295294295298298297296294293294293296296294297296296297296296296296295294295294296296295294293297296297296296297298300298300299299302301300301301301300299299300300299300300299299299298299297299299299298298297297299297295298295298298298298296298298298297297298298298297297299299297298296297297297298299299300299297296299300300297298298298299298296299298298297297296294294296296295295295297297297298298298298298298296296299299297297296296297299297297295297297296296296295298297298297296298297297297297297294294294296294294294294293294294296295296296295294294292291294296295295297296295295294294295294295295296296296296296296296296296296296296296296296296296295295294294295294294294294294294294293293293293293293293292292292292292292293293293293293293292292293293293293292293292293293293293294294294295295295295295295295295295295295294294294294294294294294293293293292292291291291290290290290290290290290290289289289289289289289289289290289288288288288287288288288288289289289290290291291291291291291291290290290289289289289289288288288289289289289289290289289290290290291290291290290289289289289289289289289289290290290289289289290290290290290290290290290290290290289289290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286286285283282284285288287287287287286286286288288288289289288288287287287285280277277280279279282283287287291288290289289290291291291291291291291292292293293292292292294294294293293293293293294294292292293294294294295295295296296296295295295296296295296296296296296296295295295296296297297297297298297297297296297298298298298298298299299299298298299299299300299300300300300300300301302302301302302301301302301301301300302301301300301301300300300299300300299299299299298298298298298297298298297297297297298298298297295298297296296296297298298298298298297298298297297298300300299299300297297296294295296298298297297295295296293297295294294296296295294294292294295296296295296295295296296296295294295295297297296296297296298297297297297298299300300301301300300300301299299301301299299300300300300300300299300299299299299299298299299299298298297297297299298298297298297298298298297298298298297298298298298297298298297298298298298299300299299299299299299299299298299298298298299298297297296297296297297296296297296297298296297297298297297297297299299296296297298296295299297297295296296296296296295297297299297297300298297297298297295295296296296296297294293293295296296295293294294294294294295296295297297296295296295295294294295295295295296296296296296297297297297297297297297296297296296295295295295294294294294294294294293293294294294293293293294294294294294294294294294294293292292293293293293293293293293293294294295295295295295295295295295295295295295295295295295294294294294294293293293292292291291291290290290290290290290290289289289289289289289289289289289288288288288288288288288288289289289289290291291291291291291290290290289289289289289288288288289289289289289289289290290290290290290291290290290289289290288289289289289289290290290290289289290290290290290290290290290290290290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287287285287283281286288287288288286288288288288288289289289288288287287283280279278278280281283285290291291292292290290290291291288292292290291292292292291293293293294294294294293294293293294294294294293293294294294294295295296296295295295295295295294295295295295295295295295293294296296296297297297297297297297298298298297298298298298298298298298299299300300300299300300301301301302302302302303302300302302301301301300301301303303301299299300300300300299299299299299298298298298298297297297297297298296298298297297297295296297297296296298298298297298298299298298299298300300300300298297297297297295295297297296294294294294293293293293295296296296295293291292294294295296295296296296295295296294295294297297296296296296296298297297297298300299299300301300300301301300299300299299298299300301298299298299299298297299299298299300300299299299297297298298299298298298298298298297297298298297298298298297297296298298297298297297298298299298298297298299297298297297297297298297298298296296295294297297296295297297297295297298297297297296297296296296296295296297299296298298298297297296296296294297297295296300296298300299298299298297295295295296296296296296296295295297295293292293294294293293295294298296295295296296296295295295295295296296296296296296296297297297296297297297297296297296297296296296295295295294294295294294294294294294294293294294294294294295295295295294294294294293292293293293293293293293293294294295295295295295295296296295295295295295295295295295295294295294295294294294294293293292292292291291290290290290290290290289289289289289289289289289289288288288287288288288288288288289290290290291291291291291291290291290289289289289289289289288289289289289289289289290290290290290290290290289290290290290289289289289289289289290289289289289289290289290290290290290290290290290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288287287287285285285285285286285288287287289288288286287289289289287287287286283277274274277278282286287290291289292292291292291291292291292291292293292293292293294294293294294294294293294294295293293294293293294294294294294294295294294294294295294294294294295295295294294295296294294294295294296296295296297297297297298297298297298298298298298298298298299299299299300301300301301302302302302303302302302303303303302301301300300301302302303300300300300300300299299299299299299298298299298298298298298297297298297298297296297297297297297298297297297298298298297299299297300297298298300299297297297297298296296297297296295293295296293293295295295296296295294295292295293293295296294295296297294295296296294297298298296296297297297298299299298299300299299300300300300300299299298300300298300299299301300299299300299301299300299298299300302299299299298297298299299299299299299298298297297298298298298298298298297297298298298298299298298298298298299298299299298299299297297298295297297299297297297296296295295296296297298297297297297296296297297297296295296296297296296295296296296296296298298297297299299297299297295295299296298296297297295297296296296298296297295295296297296295294294294295295295295297297296295297296295296295295295295295296296296296295295296296296296296296296297296296297296296296296296296296296295295295295295295295294294294294294294295295295295295295295295295295294294294293293293293293293293293295295296296296296296296296296296295295295295295295295295295295295294295294294294294294293292292292292291291290290290290290290289289289289289289289289288288288288288287288288288288288288289290289290291292291291291291291290290289289289289289289289289289289289289289289289289289290290290290289289289289289289289289289288289289289289290290289289289288289289290290290290290290290290290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289999284285281285286287287287287287286288288287287289290290288287287286286284278275273276278282287290291293292292293291291291290290291291292292292292292293293293294293294294294294294294294294293293294293293294293293293293294294295294294294293294295295295295295295295294294295295295294294295294294297297297297297297297297298297297297298298298299298298299299300300300301301302302302301301301301303303302302303302302302301301301301299300300300301301301300300300299299299299299299299299299298298298298298298297297297297297297296298297297298297298297297298298298298297298296297297297299299298297296297297297297297297297296294296296295294296295295295296295295294294294293296296294295294294297294297297296294297295297295294295296295298299299299299298299300299300301300300300300301299298301301300299300300299299300300300300299299299299301300300299300299298299299299300300300299299298298298298298297297298297297296297298298298298299298298298298298298297297297296297298298296297298298297298298297296296296295295295297297297297297297298298296297297296296297296297297296297296297295297298298297298297298298298298298296295299296298297296294295296296294296295296297295295294294294295296295296295296294296296296297295298296296295296295295295295296296296296296296296296296296296296296296296297296296296296296296296296296296296296296295295295295295294294294294294295295295295295296296296295295295295295294294294294295295294295296296297297296296296296296296296296296296296296295295295295295295295294294294294294294294293293292292291291291290290290290290290290290290289289289289288288287287288288288288288288288288288289289290291291291291291291290290289289289289289289289289288288288288288289289289289289289289289290289289289288289289289289289289289289289289289289290290289289289291290290290291291291291291291291291290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293294999289999285286286286286287288288288288288289288287287291291290288288284284284283278277276279281286289290291292293292291291292291291292291291291291292293293293293293293292293293294293293293294293293293293293293293292292292292293294293293294293293295294293293294295294295294295295294295295295294295295297296297296297295297297297296297296297298298298299299299299299301301300301301301302302302301300301303302303303303301302302303303303302301301301301302300300300299299299299299300300300299299299299299298298298298297297298298298298297297298297297297297297298298298298298298298298297296296296296297297296295297298298298297294295296294295295295292294292294292294295293293294297296294294294295294297297295296296296297292295294294295297298298299298298299299299299299298299300302301301301299298301302300300300300300300299300300299300300300299300300301302301300299299298298299299299298298298298297298297296295295295296298298298297297299299298299297297298297297295296296296297296297298297298298298297295295296296296295295295297297298297297296297296296297297296296296297296295299296296296299300298297297299299297297297296296298297297297296296295295294294295295295295295295295293296297298297296298297297296296298298297295295296296296296296296296296296296296296296296296296296296297297297297297296297296296297296296296297296296296296296295295295295295295294295295295295295296296296296296296296296296295295295294295295295294296296297296297296296296296296296296296296296296296296296296295295295295295295294294294294294293293293293292292292291291291290291290290290290290290289289288288288287288288288288288288288288288288289290290291291291291290290290289289289289289289289289289288288288288289289289288288289289289289289289289289289289289289289289289289289290290290290289289290290290290290290291291291291291291291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292290287287285285286287288288289289289289289288287286285286291291288286285284284283281278278279280283288290290290292292292292292291291291291291289291291292293293292293293292292293293293293294293293292291293293293293293292292292293293293293294294293293294294293293294294295295295295295296296295295295295296296296296296295296295296297298299297296297297298298298298299301301301301302302301302303302302301301303303303303303302302303303301301302301301300300301301300299300300299299299300300300299299298298298298298298299298298297297298298296297297298297298298298297298298297298298297297296296294295293297295294293295297297296298296296292295295295294294294294294292293293293293296296295293295295296296295295294296294294296296295294293295296298299297297295299299299297297298300297300300300302299300299299300300300300300301300301301300301300301300300301300300300299299299299299298298297298298298298298297295295295295295295297296298297297298299299297298299299296297297297297297297296296299298297297297298297297296296296296296296297298298297297297297297296296296297297297296296297297297297297298296297297297300297298297297297297296296296295295295298296295296295297295295297296296296296298298294297297296297297295298298297296295296296296296296296296296296296297296296296296296296297297297297297297297297297297297297297297297297296296296296296296295295296296295296295295295296296296296296297297297296296296296295295295296295296297296297297296296296296296296296296296296296296295295295295295295295295295294294294293294293293294293293292293292292291291291291291291291290290290289289288288288288288288288287288288288288288289289289290291291291290290290290289289289289289289289289289289289289289289289289289289289290289289289289289289289288289289289289289289289289290290289290290290290290291290291291291291291291291291291292291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297294999999289289285285285286287288288289288289289289289288289288288288292288999283283282281282282281278280283287287291290292292291292290292292291290291291292291291292291293292292292292292293293292292292292291293292292292292291292291293293292292293293293293293293293292293293292293294295295295295295295295295296295296297296296296296296296296298294298297296296298298298298298299300301301301302301301302302302302301302302303303301303302303303302301299301301301300301301300300299300299299300300300300299299298298298298298298298298299298296297297298297297297297298298298298298298297298298298298297298296295295295294295296295294296299298297296291295295294295292294294292292292292293293294296295293294294295295296295294295296297294294295295294294296296297297298297299301300300300298300300300300300300300299300300300300300301301301301301301300300301301301301300301300299298298298298299299299298299298298298298298297297294294293294294296297298297298298299299299299299299298298298298299298298299298297298298297297297296297297296296296296297296297297297298298297298297296297298298299298298298297297298297296296298297297297297298297296297297297296295294298297298297296296296297297296297296296298297297297297296298296298297296298299298297295297297297296297296297296297296297297297297297297297297297297297297297297297297297297297297297297296297297296296296296296296296296296296296296296296296296297297297297297297297297296296296296296296297297297297297297296296296297297296296296296296296295295295295295295295295294294294294294294294294294293293293293293292292292291292292292292292291290290290289288288287287287287288287287287288288288288289290291291291291290290289290289289290289289289289289289289289289289289289289289289289289289289289289289288288289288289289289289290289290290290290290290290291291291292292292291291292292292292292292291292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288288289288287286286287287287288289289290289288289288288290291291290999999999999999999278280280280280283287290290288290292290292291291292292292291290291291291292292291292292292292292292292292290291292291292292292292290291291292292292293293292292292293293293293292293292293293293294294295295295295295296295295295296296296296296296295296296294296297297298298298298298297298299300300301301301302302302302303302302302302304303301302302303302301300300299300300300300300300300300300300299299299299300299299298298298298297298297297298297297298298297297297297296298299297297297297298297298297297297297296295295295295295295296296295295297296294294295296295295296295294293291293291292294295295294293295294294293295294296297297297296295294296296294295297296299299298298297297297298297299298300299300301297298299300299300301301301300301300300301302301301301301300300300300299299299298298298298298298299298298298297297297297296297296295296297298298299299299299300300300300300301299299298298297298298297298298297297297297297297298298297297297297297297298299298296297298297299299298299298297298298297298298298296297297297297297296297296297295295295295294295297297297296296296297297297297297297294297297297298298298297296296297298296296297298297297297296296296296297296297296296296297297297297297297297297297297297297297297297296297297297296296297296296296296296296296296296296296296296296296297297297296297297297297297296296296296296296297297297297296296297296296296297297296296296296295295295295295295295295295295295295295294294294294294294294293293293293292293293293293292292292291291290290290289289288288287287287287287287287287287288289289291291291291290290289289289289289289289289289289289289289289289289290289289289289289289289289289289289288289289290290290290290290290290290290290291291291291291292292292292292292292292292292292291292291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290285287289288287287288288288288289289289289288290288288289290292999999999999999999999999275279278279284288289291292290290292292292292292290291291291290290291292292292291291292291292292292291292293291291291291291291292290289291292292291292293292292292292293293293292292292292294294294295294294294295295296295295295295296296296295295296296297297296296297298298299299298298298298299300301301301301302302303302303302303301303303303302302303302301300300299299301300299299300300300300300300299299299300300299299298298298298298298298298297297297297297297297297298299299297298298298297296296296295295295296295295294295295295294294294295294293293293294296296296296296292292293292294294296296296293293294296297296294296297297299295295295294295294295294297297299301301299301300299300299299300298299298299298298300300300300300300300300299300302301302302300300300300300301300300300299298298297298298298299299298298297296297295296295296296296295297297298298299300301300300300297298299298298298298299299298296297297297296295295297298298297296297297297298299298298296298298298299300299299297297298297298299299297298298298297297297297296297297296295294295296296297296297297295295297297297296296295297297296298298295298297295295294295297294296295297297296296296296296296296296296296296296297297297297297297297297297297297297297297297296296296296296296296296296296297296296296296296296296296296297297297297297297297297297297296296296296296297297297298298296296296297296296296296296296296295295295295296295295295295295295295295295294294294294294293293294294293293293293293293293293291291292291291290290289289288288287287287286287287288287288288288289290290291291291290290289289289290289289289289289289289289290290289289289289289289289289289289289289289289289289289289289290290290290290291291290290290291291291292291292292292292292292292292291291291292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289286288289288288288288289288288287289289290290289287288290293999999999999999999999999999278276279285287290290291292291290289292289292290290292292290291291291291292292292291291291291292292291289291291290291291291291291292292291292292292291292292292292291292292292292292292293294294294294294294294295294295295294295295295295295295295295296297297297298297297297297298297297298298299299301301302302301302303303302303304303303303303302302303302300300299299299300299299298299300300300301299300299298299299299298298298298298298298297297297297298298298297298298298299298298298298297297297297296296296296296296297297294295295295294295295293293293292293293296293296296294294294291293295296296294295295296296296295296298299299297298295295295295294292293294297297299300299299299299298298298298298299299299299299300299299299300298299300299300300299300299299299300301299300300301300299299300299298299299299299298298297297296297297297296297296296297299299296297298298298297297296298299298298299299299299299298297297297297296296297297298297297297297298297298298299297298300298298299299298300297298296297298299298298298297297297297297297297297296294297297296296296297297296297297296296296295294296296296297297296296295295294296296296297294296296296297297296296296296296296296296297297297297297297297297297297297297297297297297297297297296297296297296297296296297297297297296296296296296296297297297297297297297297297297297296296296297297298298297297297296296296296296296296296295296295295295295295295295295295295295295294294294294294294294294294293294293293293293293293293292293292291291291291290290289289288288288288287287287288288288288289288289290290290291290290290289289289289289289289289289289289289289289289289289289289289287289288289289289289289289289289289289290290290290290290290291291291291291292291291292292292292293292291292291291291292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295291290290289289290290290289288287287287288290289289289288289290292294999999999999999999999999278276278285289291291292292293292292291292291290290291292293291291291291292292292293292290291292292291291289289291290291291292292292292291291292292292292291292292293293292292292292292292293293293294294294293294294295294295294295294294295295296295295296296297297297297297298298297297297297297298299300302302302302302302303302302304302303304302303303302302300299300298299298300299299298299300299301299299301297299299299299298298298298298298297296296297297297298297298298299298298298298298297297297297296296295295296296294296296293294296294295294294293293292293294294293293294295295292293292294293295296297296293296296295295298299298298298297294296294295293292294295295297299299298297296298299297298298299299299300300300300300299299300300300300301298301301301301300301301301301301301300300300299299299299299299299298299299297297298296296297297296297298299300296299298298298298298299300299300298298298300298298298298296297296296297296296298298297297297297298298298298299298298299299299297298300299299297298297298298298297297297297298296297296297296297296296296296297298298296297297296296295294295295296297297297297295294296295298296296297298297297297297297296296296296296296296296297297297297297297297297297297297297297297298297297297297297297297297297297296297297297297296296296296296296296297297297297297297297297297297297296296296296297298298297297297297296296296296296296296296295295295295295295295295295295295295294294294294295294294294294294293293293293292292292292292292292292292291291291290290290290289289289288289288288288288288288288289289289290290290290290290290289289289289289289289289290290290290289289289289289289289289289289289288289289289289289289289289289290290290291291291291292292292292292292292292291292293292292291292292292291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291291290291291290289287286285286287286290290289288288288291292999999999999999999999999999276279286289290292292293292292293292291292291288289292292292291291291291292292292292292289290293295293999999289290292290291291291291292293291292292292292291292293293293292292292292292292292293293293294295294295295295295295294295295295295296296296296296297296297297296297297297298297297297296297299300302301302302302302303304302303303304304304303303302301301301301300298299300299299299300300301299298299299299299299299299299298298298298297297297297296298298298298300298298297298298298297297297296297297296295294296297296295296295296296295295295294294294294296295295295293293296295295292293294294295295296296296296296295296299299298299298297296297297296296295294297297297297299298296297298298298298298298299299300299300299300299301300300299301300298301301302302301302303300302302300300301300301300300300300299298298298299299299298297298297297297297297297297297298298299299300300299298298300298298298298298298298298298298297297298298297298298298297298298297300298298299298297299297298298298298297297297296296297297296296296298298298297296296296296296296297297297298298297296295296295295296294295296296297297297297297297297297297297297297296297297296296296296296296296296295296297296297297297297297297297297297297297297297297297297297297297297297297297297297296297297297296296297296296296296297297297297297297297297297297296296296296297297298297297297297297296296296296296295296295296295294294295294294295295295295294294294294294294294293294293293294294293293293292292292292291292292292292291291290290290290289289289289290289289289289289289289289289289290290291291290290290290289289289289289289290290290290290290289290290290289289289289289289289289290289289290289289290290290290291291291291291292292292292292292292292292292292292292292291292292291292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291290291291290288286284284284285286287290291289288289290291999999999999999999999999999999999283291293292293293294293294294293292292289289290292292291291291291291290289292293293290292294293292292292292291289289289290291292291293292293292293292293293293293293292292291292291291292293293293293294294294294294294296294295296295296296296296296296297296297296297297297298298297297297298297298300301302303303302303303304304303304303303304303302302301300301300300299300300299299299300300300299299299298300299299299299299299299298298298297297297297297298298298298298299297298298298297297297295296296297298295297296296295296294294296296296296296296297297296296296296295297297295296297297297296296294294295295295295296298299299299299299298297297298295295294294296298298298299296295294297299299298299299299299300299300300299299299300300301301301299300302302303302303303303301300300301300301300301301301300299297297298300298298298298298297298298298298298297298298299298299299299298300298299299298298299298298298298297297297297296298298298298297298298298298298299298298299301299299297298298297297297297296297297297297297297298298296295295295295297297297298298298298296296296296296296295296296296296297297297297297297295298295296297297297297297296297297296296296295295296295296296296297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297296297297297297297297297297297297297297297296297296296297297297297297297297297296296296295295295295295295295295295295295295295295295294294294294294294293293294294293293293294293293292292292292292292292293292292291291291291291290290290290290290289289290289289289289289290290292291291291290291290290290290289289289289290290290290290290290290290290290290290290290289289289289289289290289290290290290291291291291291291291292293292292291292293292292292292292292291291291291292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294305300296294293291292291290290289288286284283283284285286288290289289289292293999999999999999999999999999999999999289295295293293294294294294294294292292293292292294292292290292291291289290292294294294294293292293292292292291289291290289291292291292294295294293294294294293293293292292291291292292292292293293294294295295295294294295295295296296296296296296296296296297297296296296297297298297297298297298299299300301302301302302303304304304303303303302302302299301300300300300300301300299299299299300300299297298298297299298299299298298298298298298298297298298298297298299298298298299298297298298297297295296297297296296296294296296294297298297297297297297297298298298299298296296299299295297298298298297296296296296296297299296296300300298298298297296297297297296294296296296298297297296295296298299299299299299299299300300300300300298300300300301300300300301302300302303303303302302301303301301301301302302301300299298298299298299299299298298298298297299299299299299299299299297298298298298298299299299298299299298299298299297297297297298298298298298299299298298300299298298299298300298297297298297297296297297296298297298298298298296296296295295296296296297296296295296296296296296297296296297297297298297298297297297297297298294295298298297297296294297296296296296295296296296296296297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297296296296296296298298297297297297296296296296296295295295295295295295295295295295295294294294294293294294293293294294293293293293293293294294294293293292292292292292291291291291291290291290291290290290290290290290290290290290290290291292291291290291290290290289290290289289290290290290290291291290290290290290290290290290290290289289289289290290290290290291291291291291291291292292292291291291292292292292292292291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294300300295293293293292291290289288287285283282283284286286289287288289292293999999999999999999999999999999999999289291294295294294296295294294294293292293292291291293293290290291289290289290293294294294294293292292292291292292292291292291291291292294294294294295294294294293293293292292291291292292292292292293293293293294293294294295295296296296295295295296295295296296297297296296296297297297296296297298299298299301300302303302302303304301301303303304302301300300299300300300299298300299299299299300300300299297298299300299299299299299298298298298299298298298298298299299298297299298298297297298297297296295295296296297297297296295296295298297297297298299298300298299298298298297298298298298299299297298299300297298297299300300300301301300299298299299297296297297295296297297297296297298298298299299298299299299299299299300300300300300300302302302301301301301302303303303303302302302302302303303301301302303301300300299301302299299298298297298299298298298298299300298299299299299298299298298299299300299299299299299298299298298298297298298299298299299299299299298299298298297298298298297297298297296296296297297297297297297298297297297296297297295296298296297296297296298298298297297298297297296297297298297297296297297296296296297296297296297296297295296296296295296295296296296296296297297297297296296296296296297297297297297297297297297297297297297297297297297297297298297297297297297297297297297297297297297297297297296296296296296296297298297297297298297296296296295295295295295295295295295295295295295295294294294294294294294294294294294293294294294293294294294293293293292293292291291292291291291291291290291291291290291291291291291291291290290291291291292292292292292291291290289290290289289289290290290290290290290290290290290290290290290290289289289290290290290291291291291291291291292291291292292291292292291291291291291291291291290291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294298298297295293292291290290289288286284282280281283286286286288288290295295999999999999999999999999999999999999291293295295296296295296296295295294292294292293292292292292999290292999999293293293293293293293292291291291291291291290291291291291292294294294295294294294293293293291292291291291291291292292292293294294294294294295295294295295295296295294295295295295295296296297297296296297296297297297297297297298299300300301302301301303304303303302303303302301300300300300300299299299299299298299299299299299299299299299300300299300300299300299299298299299298298298299298298298299299298298297298297297297296296296296296297297297297297298297298298298298297298298298299299298298298298297297299298297298298298298298300301299299301299298299301301299298298300300299299298299297298297297297296297299299299299299299299298300299298299300301301302301302301302299301302301301302300300301300300302301302302302301301301301301300300300300302300299299299299299299298298298298298298299299300300299299299299299299300299300299299299300298299298298299298298298297299299299299299299298297298299298299298297298297298296297296297298298297297296297297297297296296297297296297299298298296298298297298297297297296298296296297297298297296296297296296296295295295294297297295296296296295296295296296296296296296296297297297297297297297297297297297297297297297297297297297298297297297297297297297297298298297297297297297297296297297297297297297297297297296297296297296297298298297297297297297297296296295295295295295296295296295295295296295294294294294294294294294294294294294294294294294295294294293293293293293292291291291292292292291291291291290291291289291291291291291291290291291291292292292292292291292291290290289290289289289289289290290291290290290290290290289290290290290289289289290290290291291291291292292292291291291291291292292292292292292291291291291291290290290291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298296293292291291290290288287286285283281281283285285285286288292296999999999999999999999999999999999999291293294295296298297295296296296294295294293294293294292290293291291292293292292293292293294292293292292292291292290290291290291291292292292293295294294294294293293293293293292291291292292292291292293293293294294294294294294295295295295294295294294294295295296296296296297297297297297297296296296297297298300299301300300302302303304303303303303303302301301301300300298299299298299300299299299299298299298299299299300299299299300298299299298298298298299299299298298298299299298298297298297296295297296296296296297296296296296298296298298298298297298299299299299299299298299298301300298296298297299300300300300300301301301300300300302301299301301299301300298298299298299298298298298299299299299299299299297300300300301301301301300300302299300300300300301301300300300300300302301302302302302301300302301299300301301302302301302299300300299299299298298299298298299299300300299299299299299299298299299299299299299300299299299299300298298297300299298298301301299299300299299298298297298298298298298298297297298297297297296297297296296295297296295297297296297298299296297296296295297296297296297296296297297296295297296296296295295294296296297295296295296296295296296296297296296296296297297297297297297297297297297297297297297297297297298297297297297297298297297297297298298298297297297297297297297297297297297297297297297296297297297297298298298297297297297297296296296295295296296296296296296296295295295295295294294294294294294294294294294294294294294293293293293293292292292292292291291292292292292292292292292291292291291291291291291291291291291292292291291292292292291291290291291291291290289289289290289290290289289290289290289289289289290289290290290290291291291291291292292292292292291291292291291292291292292291291291291291291291290290290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296295294292291290291291290289288287286285283281281284285287286287289292298999999999999999999999999999999999999291294294296297297297296296296296294294295295294294294294290290291291293294292292293292292295292292292292293289290292291292292291291292293293294294294295295294293294293293293292292292292292292291292293293293293294294294293294294295295295294294294295295296296295296296296297297297297297298295295297297298298299300302299299302301303303302302302302302302302301301301300299299298299299299300299299299300299299298299299300300300300300298299298298299298298299299299298299299300299298298298298297297296295295296296296297297296298296297296296297297297297298299299299299299298299299300299300299298300300299299301301300300301302301300301301302301300301301300301299300297298298297298298299298299299298297296298299299300301302302301301301302302303300300300301300301301300300301303304302302300302302302301302301301301303301301302303300300302301300299300299299299299300299299299299300299299299298298298299298299298299299299300300299299299299299298299300298300298299299299300299299298298297298298297298298297297297297297296297297296296296296297298298296296298297296297299298298298298298298298297298298298298298298296298298297297296295295296295296298297296297296296296296296296296296296296296296297297297297297298298298298298297297297297297297297298297297298298298298298298297298298298298298298298298297297297297297297297297297297297296297297297297298297297298297297297297296296296296295296295295295295295296295295294295295295294294294294293293293294294294294294293294293293293292292292292291291291292292292292291292292292292291292291292291291291291291291291291292292292292291291292292291291291291291291289290290289290290291291289290290290289289289290290290290290290291291291291292292292292292292292292291292292292292291292292292291291292292291291290291290291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295294292291290289290290290289288287287285282281283286288288287288291293999999999999999999999999999999999999290294294295294296296298297296296295295296295295294294295292292292293293292293292293292291294293293293291290289290292292292292291292292293293293295295295295294293293293293293293293293293293292292292293292292294294293294294294293295294294294294295294295295295294295295295295296296296296297297296296297297299298299300300300300301303303302302301302302302302302301301300300299299299299299300299299298299299299298298299299299300299300299299299299300298298298299299299299299300299298298299298298297297297296297297297297296297296298298298295295296297297298299299299299298298299300300301301301300301301301300300300301301302302301301302302302303302300302301301301300299299298296297298297299299298298297297299299298300301300302302302301302302302303303301302302302302302302303302304304303302302302302303302303301302300301301301301301301302301301301301301300300300299300300300299299300299300299299299299298299299298299301299300299299300298298300299299299299299299298299299298299298299298297297298298297298297297298297296297297297298297296296296297298298299298299298297297297298298298299298298297297298298298297298296296296297296295296295297296296297297296296296296296296296296296297297295296297297297297298297298298298298298297297297298297297297298297297298298298298298298297298298298298298298298298298298298297297297297297297297296296297296297298298297297297297296296296296296296295295295295295295295295295295295295294294294294294294294293293293293293293294293293293293292292292292292291292292292292292292292292292292292292292292292292292292292292291291291291292292292292292292292292292292291292291290291290290290289291291292291290291290290290290290290290290290291291291291292292292292292292291291291291292292292291292292291291292292291291291291291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300294295294292291290290290290290290289288287285283281280282286290289288288293999999999999999999999999999999999999999290294295294295295297297298297296296296296295294295295294292292291293295295293294293294293291289293292292290291290292291292292292292292293293294294295295294294294293293293294293293293293293293293292292293293294294294295294294294294294294295294294295295295294295296296295295296296296298297297297296295296296299298300301301301301303303303302302302302302302302302301301300300300299298299300300299299300299299300300300299298298298299299299299299300300299299299299299299299300299298298298298298298297298297297296297297297297297297299297295296298297298299298298298299299300300299301300300301301301301301302301301301302303303302302303303303302301302302301300300299299297298297297297297298299298299298299298300299299298300298298299301302300301301301301301301302301302302302302304304302304304302303302303302302301301301301301301301301299301301301301301301300300300300300299298299299300300299299298298298299298299298299299299299300300298298299299299297299298298297298298298298298297298298297298298297296296295297296298298297297297297297297295297298298299298299299298298299299298298298298298297298298298298298297296296296298297295296295296296296295294295295295296296296295296296295296296297296297297298297297298297297297298298297298298298297297297297297297298297298298297298298298298298298298298298298297298298297297297297297297296296296296297297297297297297297296296296296296295295295295295295295295295294295294294294294294294294294294294293293293293293293293293292293292293292292292292292293293293292292292292292292292293292292292292292292293293292292292292292292292292292292292292292292292290291291291290290293291292292292292291291290290290291291290290290291291291292291292291292292292292292291292292292292292291292292292291292291291291291291291290291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299291293295294293291290289290290290291290289288286283280279279279286290290288290295999999999999999999999999999999999999999293294294294294294296297298296296297297296296295295294293292294294293295294292292292292293292290292291290290291291291291292292292292292292293294295295295295294293292293293292292292292293293292293292293293293294294294295295295294295295294294294295295294295295296295297295296296295297297297295295297295298299300298300301301301300300301303303302301302302302302302301301300300299300299299300300299299299299299299299300299299299299298299299299300300301300299299298299299298299297298298298297298298297297298296297297298298298298297297297297297297297298297298299299299300300301302301300300301301302301300301301301302302303303302302303303303303301302303301300299298298298299297297297298297298298299300299299301298299300299301301302302300300300303302302302302302302305304303304303304303303304304302304303302301301302301301301301302301301301301301301301301300300300300300301299298299299299299299299299297298297298299299299299300301300300298300298299297299297298297298298298298298298297298297298298297297297298297296297297297296296296297296298297299297298298299298299299299298298296297297297297298298298297297297297296296295296298295295296296295295295296296296296296295295296296296296296296296296297297297297297297297297297297297297297298298297297297297298298298297297297297297298298298298298298298298298298298297297297297297297297296296296296296296296296297297296296296296295295295295295295295295295295294294293295293294294294294294294294294294294294294293293293293293293293293293293293293292293293293292293293293293293293293293293293293293293293292292292292292292292292291291291291292292292292291291291290290290291291291292291291291291291291291291291291292292292292292291292291292292292291291291291291292292292292292292291291291291291291290291290290290291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297287286290292291290289288288289290291290291289287283281276276275274285290290288291999999999999999999999999999999999999999999294294294294294296297297297296296296296296295295294294293292295294294294294292295294291291291290291291290290291291291291292292292291292292293294293294295295294293292292292292292292292293293293293292293293292293294294295296295295295295295296295295295295296296296296295296295296297297295296297295295297299298298300300302302300299302300303303302301302302303302302301301301300300300300299300299300300299299299299300298298299299298300300299299299300301300299299298298299299299298297298298297296297298297297297297298298299298298298297297298296298298299298298299300299300301302301301300301301301300302303301301300302303303303303303303303303303301302301301301299299298299299298297297297298298298297298299299300299298298300301302302301301301301304304302302301304303303303302303303303301301304303303302302302301301301302301301302301301301301301301301301301300301300301301300300299299299299299299298298298299299298299299299299299299298300298297298298298298298298298298298298298298298298298298297298297297296297297298296297296298299298299297297298297296299298297297298297298298297297297298297298298298297298298296297296296294295296295296295295296295295296296297295296296295296296297297295297297297297297297296297297297298298298297298298298297297298298298299299299299298298298298298298298299298298298298298298298298298297297297297297296296296296296297296296297296296296296296296295296296295295295295295296295295295295294294294294294294294294294294294294294294294294294294294294293293293293293293293292292292293293293294294294294293293293293292293292292292292292292292292292291292292292291291291291291291291290290291290291291291292291292292292292292292292292293292292292292292293292292292291292291291291291291291292292292292291291291291291291291290290290290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289279281284286286287288287287287289290291291291289287284280274271275273283291291289291999999999999999999999999999999999999999999294294293294294295296296297296295295296293295295294294295293295294295294293292293293291291290290291291290290292291291291291292291291292293293293292294293294294293293292293293293292293293293293293292292293293293293294295295295295295296296296296296296295296296296296296295297296296296297296297296296297298299298299301302302300301302303302304302301302302303301301301301301300300299299299299300300299300299299299299299298299300300300300299299299300300300299298299299299299299297297297298298298298299298298298297298298298299298299299299298298297297298298299299300299300301301302300301302302303303302303302301302300303302303302302302302302302300302302302303300299301299299299299299299299298299298298298300299299298298301300302302303303303303303304304304304303304304303302302302303302303302303303303302302301301301302301301301301301301301301301302301301300300300300300300300299299299299298298298298297299299299299299299299299298298297299298297297297298298297298297298298297298299299298298298297297298297298298298299297299296297299298299297297299299298297299296297297298298299298297297298298298299298298297297297296296297296296295296295296296296294295296296295295296296296297297297296296297297298297297296297297297297298297298298298298298298298298299299299299299299299299298299299299299299298298298298298298298298298297297297297296296296297296296297297297296296296296296296295296296295295296296296296295296295295294294295295294294294294294294294294294295294294294294294294293293293294293293293293292292294294294294294294293293293293293293293293293292292292292292292291291292292291291291291291291291291291290291291291291292292292292292292292292292292292292292293293293293293293293293292292291291291291291291291291291291291291291291291291290290290290291290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297296292289285285283283283283284284285286288290292292290290287283278274269283278283291290292999999999999999999999999999999999999999999289293292293295295294296296296296296295297295295295295295294292290293293294293291291291290290289290290291291292292292291291291293292292292293293293293293294293293293293293294294293292292293294293293293292294293293294294294295295294295296295296296296296296296296296296297296294295295296296296295296296295296298299300301301301302300301301301300301301301302301301300301301300300300299299299299300300299299297299299299299299300300300299299299299299300300300299298298298297298297297297297297298299298299299299298298298298298298298298298298298297298298298298299299300299299301302302301302303303303303302303301302301302301302303302301301302302303302301299301302301300301300300299299297297299298298299299299299298299300300302301302303304303303303303304303303303303303304303302302302302302302301301302303303300301301301302301301301301302301301301301301301301301300300301300300300299298298298298298298298297298298298298299298298298298298298298299298298298297297297297298297297296298298298298298298298298297298298298298299297297297297299299299299298298297297297299298299299298299299298298298299299298298298296297297300299296296295295297296294296297297295297297296296296296296297297297297297297298297298298297297297297297297298298298298298298298298298298298299299299299299299300299299299299299299299299298298298298298298298297297297297297297297297296297297296297296296296296297296296296296296297296296296296296295295295294294294294294294294294294294294294294295295295295294294294294293293293293293293293292293293294294293293293294293293293293293293293292292292292291292292291291292291292292291292291291291291291290290291291292292292292292292292292292292292292292292292293293293293293292292292291291291291291292291291291291292292291291291290290291290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297298291290289286284281281281282282283285287290292293292290288285279274272271274280285291290295290999999999999999999999999999999999999999291292292293294295294295295296296295295295296296296296295293292293293293293290292291290290290288289291291291291290291291292292291292293293293293294293295293293293293294294294294294293293293294294295293293294293293293294294295295294294295296296296296296296296296296296296296296296296297296294295295296296297298299301301301300301303302301303303300300301301301301301301300300300300299299300299299300300299300299300299299300300300300299300299300299300300300299298298299297298298298298297297297299299299299298297298299296297298298297298298298298297298297298299300300300301300301302302302302303302302301304303301303303303302303303302302303303303303303302301300302301301301301300299298298297299298298299300300299299301301302302303304304304303303304303303303304303303302301303304302302301302302301303303302302303301301302302302302301301301301301301302301301301300300301301300300299298298298297298297298298297297297298299299298298299298298298298297298296297296297297297298297298297297298298299298299298298297298298298299299298299298299298297297299297297298298298298299300299299299300299300300298299297298297297300297298296296295297295296296296296297298298297295296297297297298297298298298297297297298298297298297297298298298298298298298298298298298298298299299299299299299299299299300299299299299299299299298298298298298298297297297297297297296297297297297297297297296296297297297296296297296297296296297296296295295295295295295294294295294294294294294294294295295294295295295294294294293294294293293292293293293293293293292293293293293293293293292292292291291292292292292291291292292292292292291291291292291291291291292291292292292292292292292291292291291292292292292292293294293292292292291291291291291292291291291291291291291291291290291290290290290290290291290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294303299295291288287286285283281281281281282283285288292293293292290288284277272270270275279286290291291296999999999999999999999999999999999999999289288291293294296295295296296296296294295294294293294295294294293291292291288291291290289289289288289290291292291291290294292293293293293293292294293294293292293293293294294294293293293294294295294293293294295293294295295295295295294295296296296297296297296296296295295294295296296297297296296298297297297298300301302304302302303301302302302300299300301300301302301301300300299299299300299300300301300300299300300299300301300300299300299300299300300300299299299299297297298298299298298298299299299300300299298298298298299299298298298299298298297297298299300300300300302302302303302302303303303302305302301302301301303302304302303304303304304303302303302302302302302300299298299299298297299301300301301300300301301303303303303303304304304304303303303304303303305305303305302303302302303303303303303302302302302301302302302302301302302301301301302302301300300301301300299299299298298297297297297298298298298298298298298298298298297298298298297297296296297297297296297296297298298299298299298298298298298298299299299299299299298296297299299298298297299298299300299299300300300298299297299299299298297299298296296295296297297296296297298296298298297299298297297297298298298298298298297298298298298297298298297298298298298298298298298298298298298299299299299298299299299299299299299299299299299298299298298299299298298298297297297297297297297297297297296296296297296297297297297297296296296296296296296296295295295295295295295295295295294294294294294295295294295295295294294294294294294293293292292292293292293293293292293292293293293293292292292292292291292292291292291291292292292292292292291292292291291291292291291292292292292292292292292292292292292292292292292292293292292292291291291291290291291291291291291291291290291290290290290290290290290290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296294292292288288288286283282281281283284286289292293293292289287282276275274275280281287291289289999999999999999999999999999999999999999288290291291293294294294293295296295295295296294293291292294294292292291291292291291290291289288288288290290292292293290293292293294293292293293292293293293293293293293293293293293293293293293294293294295294294294295293294294295296295295295295296296296297297298296297294297297295296296296297296297296297299298300301300303305302303303302303302301301299300300301301301301300300300299299300300299300300300300300300300300300300301299298298299300299299299300299300298299299298298298298299298298298299299298300300299299299297299299299298298298299298298297297298299300301302300302302302304302302303303303305304301302301301301303303302302302303303303300301300301301303303301300300299300299299298299300300301300300301301301303303303303304304303303304303303304303302302303302302303302301302301302301303302302302302302302302302302302303303301302302300300301302302301301300300301300299299299298298298298297296297298299299298297297298298298298298298298298298296297296297297296297296296297297299297298297299298299298298298299299299299299298299296297297299299299298299298300301301300300300300300298298297299298299296298298298297297297298297296296298297297297298297298296297298298298298298299299299298298299299299297298298299298298298298298298298298298298298298299299299299299299299298299299299299299299299299299299299299299299298298298297297297297297297297297297296296297296296296296297296296296296296296295296296295296295295295295295296295295295295295295294294294294295294294295294294294294294294293292293292293293292292292292292292292293293293293293292292292292292292290291292291291291291292292292292292291292292292291291292291291292292292292292292292292292292292292292292292292293292292292292292291291290290290291291291290290291291290290290291291290290290290290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295293293293292293293292292289285283282283284286288291293294294292290287281275277279281284287288291289289999999999999999999999999999999999999999288290289291293294294294294294294294294295292292292294293292293292293291291291290289288289289289289289289290292291290292290292293293292292293293293293293293294292292292292293293293294294293293293294293295294294294295295293294295295295295295295295295296297297297296294294295294295296297298297297297298297299300301302300303305304304302302303304302300300300300300301302301301300300300300301300300299300300300300300299299299300301299299298299299298299299299299298297299299297298298298298298298298298298299299299298298297298299298298298298298298298298298298298298298299300300302302301303303302302303304304303305304303301302303302303303304303303303301301301303301302302301300300299299299298299298301300300300301301301302302303302302303303303302303303303303303303304304303304304303302303302302301301302302303303303303303303303302302302302301302301301301302302301300300300300300299298298298298298298297297297297297297297298298298299298298298299298298297297296297297297296297298297298297298297297298297296297298299297299298299299298298299299299300299299299297300299300300301301301299298298298299298299298300299301300298298298297298297296296297296297297299298297297298298298298299299299299299299298298299298297298298299298298298298298298298299299299298299298298299299299299298298298298298298298298298298299299299299298299298298298297297297297297297297296297296296297297296296297297296296296296295296296296296296296296296295296296296296295295295295294295295294295294293294293294294294293294293293293293293291292292292293293292293293292292293293293292292292292292291290291291291291291292292292292292292291291292292292292292292291292292292292292292292292292292292292292292293293292292291292292292291291291290291290291291290290290291291290290290290290290289289290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292292293294292293293292291287284283284286288290292293291290289289287281276278280283286290290291290287999999999999999999999999999999999999287289289289292294295294294294294294294292294294293293292293290292292293291292291290289288290288287288289288290291290289291292291292293292292292293293293293293293292291293291292293292293292292293292294292294294294293294294293294294295295295294294295295296296296296296294297293295296296297297297298298299299300301302303304304306306303302303303303302301300300299300299299301300301300300300300301300301300300300301299299299299299299300298297299300299299299299299299299299300299298298299298299299298298298298299298299299298299298298298298298297297297297297298298298299298299301301302302303305302302303303303303303305304304304303303304304304303303300302301302302301301301300299300299299299299300299301302300300301301302301302303303302304304303302302303303303302303303304304304304303303303303303303301303302303303303303301303302304304303302302302301301301301301301300299299299299300299299298298298298297297297297297297297298299298298298298298298298298298297297296296297298298297297297297297297297297297297299298299298298299299298298298299298299299298299298300299297298300299299299298299299298300298298300299300300300299297296296297296297297298296297298298297298297298299299299299299299299300299299299299298298298299298299298298298299299299298298298298298298298299298298298298298298298298298298298298299299299299299299298298297297297297297297297297297297297297297297297297297296297297296296296297297297297297297296296297296296296296296296296296296295295294294294294294293293293293293293293293293293293292292293292293293292293292292292293293293293293292292292292291291291291292292292292292292292292292292292292292292291292292291292292291292292292292292292292292292293293293293293292292292292292292291291291290290290290291290290291290290290290290289290289289290290289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999290291291293294295295295295294293292290286284285286288290292291288286285285283279277280282285290292292291290289291999999999999999999999999999999999289291289290291292293293293294294294294293294294293293294293293293292292291291292290290289288287288286288288288289289289290291290292291291291292293292292292293292292293293291293293293293293293293292291291293293293293293293294294294295295295295295295294295296296296297296297296295295297297297298298299299300300301301303304305307305302303303303302302301300300299299298299300299299299301300301300301301301300300301299299299299299299299299298298298298299298299298299299300300299299298297299299299299299298299299299299299299299298298298298297297296296297298299298299299298300301300300302302302304305304305305305305304304304304303303304303304304303304301302302302301300301301300299300299299299301300300301301301301301302302302302303301302304303303303304304303303303304304304304303304303303303303303303302303303303303303303303303303304304303303302301301301301301301300298299298299299299299299299298298298298298298298298299299299299299299299298297298298298297297297296296298299298297297297297297298298298299299299299298299298299298298297298299299298299300299300300300298300299300299299298298298298298299297296297299297297296296296299296296298297297298298298298297298299298299299299299299299300300299299299298299298299298298298298298298298298298298298298298298298298298298299298298298298298298298298299299299299299299299298298298297297297297297297297297297297297297297297297296297297297297297297297296297297297297297297297296296296296296296296296295295295295294294294293294293293293293293293293293293292292292292292292292293292292292292292293293293292292292292292291291291292291292292292292292292292292292292292293293292292292292291291292291292292292292293293293293293293293293292292292292292292291291290291291291290291291291290290290290290289289289289289289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289999999999999999999999999999999999999999999999999999999999999294999999999291290290290292292293294295295295296296296294293292290286285286287288288288286283282281279281283285290291292293293293292292287999999999999999999999999999999289290290290290291291292293293293293294293293294293293293293292292290291291291291292290286288288285287288287288288289288289289289290292292291291292293293293293293293292292292291293293293292293293293294291290292293294292293293293293294294295295294295294294295295295296296296297297295295296297298299298299299300299300302303304305305306306303302302303302301301301302302299301301300299300300300301300301300301302301300301299299297299299299298299298298299299298298298298298299299300299299297298298299298299299299299299299299299299298298297297297296296297297298299298298298299300300300300301302302303304303305305305304304305304303302304303302303302303300301301301301300301301300301300300299299299301300300300300301301301302302302303303301302303303303303304305305304301302302304304304303303303304304303303303304303304304303303303303304304302301303302302302302300301301301300300299298298299299299299299299298299299299298299299299299300298299299299299298298298298297297297297297297297297297296298297298297298298298299298298299299298299298298299300299300300300300301300299299299300300300299297298299299299298297298299298298297296298297298297298298297300300299299297297299299299299299300300300300300300299299299299299298298298298298298298298298298297297297298298298298298298298298298298298298299298298299299299299299299299299299298298297297297297297297297297297297297297296296297296297297297296297297296296296297297297297297297297296296296296296296296296295295295294294294293293293294293293293293293293293293292293292292292292293292292292292292292293292291291291291291291291292292292291292292292292292292292292292292292293293292292292292292291292292292292293293293293293293293293292292292292292292292291291291291291291291291291291290290290290290290290289289289289289288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291999999999999999999999999999289293999999291290290290999294292292291292292292293295296294296296296296296297297297296295294290287285286287287284284285284283283286287289289293293293294293293293294290999999999999999999999999999999290291290289291292292292293292294293293293293292292292292289291291290290290290290292290286287290287288285287287288288289288288289290290290292291292292293292293293292291290290291292292292291293293292293293292292292292292291293293293293294294295295295294294294295296296296296296297296296295297298299298299300300300301303303304305306306305305303301303302302302301303301299299301299299299299300300301301301300300302300299300299299298299299299298299298298298299299299298298298298299299300299299299298299299299299299300300299299299299298298298298297297297298299299299299300299299300300300302301302303303304303304304304303304303304304301303302302301301301301301301300301301302302301301301300299299301300301300300301301302302303302302303303303302302303303304304304304304304305304305304303303303304304303304303302303302302302302304303303304303303303303302302301302301301301300300299299298298298299299299299299299299298298299299299299299300299300299299298299298297297297296297296297297298298298298299298298298298298299299299299299299298298299299298300300299299300300298299299299300299299298298299299299299298298300300297299299299298297297296296298299299299299299297300300300299299299299300300300300299299299299299299298298298298298298298297298297297297298298298298298298298298298298298298298299299299299299299299299299299299298298297297297297297297297297297297297297297296296297296297296296296296296296296296297296297296297297296296296296296296296296295295295295294294293293294294293293293293294294293293293293293292292292292292292292292292292292292292291291291291291291292292292292292292292292292292292292292292293292293293292292292292292292292292292293293293293293293293292292292292292292292292292291291291291291291290291291291291290290290290290290289289289289289288288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292999999999999999999999289290999999289289290290289288289291292294294295294295297298300298297297297297297297297297296295291287285284284285285287287288290290292293293293294295295294293294296296293291999999999999999999999999289289290291291291291292291291293293293293293293292292291291291290291290290290290292292290287289286287288287287287288289289289289288289290290292292291293293293292294293292292292292292293292292291292292292292292292292291291291292292292293293293295294295294295295295296296296297296296297297297297298298298299299300299301302303303304306304305305303303303302302301302302301301301299301299299299300300300301301301300300301300299298298298298298298298298298298298298299299298298298298299298298299299299299298299299300300300300299299299299299299299298299299300300300299299299300299299300300300301302301303301303305304304305303303303303304301300301301302301301301301301301301302303302302301301300300300300301301301301302302302303302303303304303302302302303303304304303304303304304304304304304304304304304303303303304304304304303304304304304304303303303302302302302302301301301300300299299299299299299299299299299300300300299300299300300299299299299299299299299298297298297296297297298298298299299299298297297298298298299298297299298298299300300299300298298300300299299299299299299299300299299299299299299299298301299299299299299299298297297297296298299298299298300299300300299299299299299299300300300300299299299299298297298298297298298298297298297297298298298298298298298298298298298298298298298298299299299299298298298298298298298297297297296296296296297297297297297297297296296296296297297296296296296296296296296296296296296295296296296296295296295296296295295295294294294293293293293293294294294294294294294293292292292292292292292292292292292292292292291291291291291292292292292292292292292292292292292293292292293293293293292292292292292292292292293293293293293292292292292292292292292292292291291291291291291291291291291291291290290290290290289289289289289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296297999999999289293291302287286288290290291291291291292293294295295296295297299299299299299299299299299298297297297295291288287286288288290292292293294293293293294294295295295295294293293293292289999999999999999999999289287289290291290292289292291292293292292292292292292293292292291289292291289292291292292289290288286287288287287287288288289289289288288291291291292292293293292292293293291292293292294293292293293291291292291293292292291292292291291292292292292293294294294295296296296296294297297296297297297297298299299299300301301301301301302303305304304304303303303302300301302302301302300301302300300300300300300300300300300301300300299299298298299298297297298298298298298298298298299298298298298299299298299299299300299300301300301300300300300300300300300300300301300300300300300300301301302302302302302303303303303304304302305305303303302302302302300301302301302302301302301302302303302301301301300299300300301300302301301301301303302302303302303303304304303303304304304303303304304304303303304303304304304304304304303303305303304304304303304303303303302302302302302302301302300299300299299299299299300300300300300301300300300299300300300300299300299300299298299299298299297297298297298298298299298297298297298298298298297298297297298298299300299297299298299298299299299299299299299300299299299298299298298298299300300300298298300300300299299297297299297299299300300301298300299300299299299299299300299299300299299299298298298298297298298297297297297297298298298298298298298298298298298298298298298298298298298298298298298298297298297297297297296296297297297296296297297296296296296296297296296296296296296296296296296296296296296296296295296296296296296296295295295295295294294294293294294294294294294294294294294293292293293292292292292292292292292292292291291291291292291292292292292292292292292293292292293293292293293293293293293293292293293293293293293293293293292292292292292292292292292292292291291291291291291291291291291291291290290290290290289289289289289289289288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299292290290293999999289292288288288288290291292293293295295296296296296298298299300299299300301300301300300299299299298298296294292292290291291292294294296294294293294295296295295295293294294293290290290289287999999999999288287288289290292291291291292292293293291290291292292292292292292290290291292291291290292291290290285287286286285285287288289290287289288288290291291292292292292292292292292292292293293291292293292292292291291292292292291291292292291290291291291292293295295295295295295295295295294296297296297297297298299300299299300302301301301303302304304305304303300301301301301300302300300300302300302301301300300300300300300300300301300300299297298298299296297298297298298298297297298298297298298298298298299299299300299300300300301300301301301301301301301300301300300301301301301301301301301300302302302302303304304304304304303305303303303302303302302302301301300301301301300300301302301300300300300300299299300299301300300301301302303302302304304304303303302302303303303304303303304305304303304304304304304304304304304304304303305304304304305305304304304304303303302302302302302301300300301299300300299300300301301301301301300300300300301301300300299300300299301299299299298298298299298298298298298298298298298298298298298298298297297298298298298298298300299299299299298299298298298299300299298299299298299299299298299299299299300300301300300301298297300297300301301301301301300300300300300299299299299299300299300299298298297297298298297298298297297297297297298298298298298298298298298298298298298298298298298298298298298297297297297297297297297297296296296296296297297297296297297296296296296296297296296296296296296296296296296296295295296295296296295295295295295295294294294294294294294294294294294294294294294294293293292292292292292292292292292292292292291291291291291291292292292292292292292292292292292293293293293293293293293293293293293293293293293293293293293293292292292292292292292292291291291291291291291291291291291291291291290290290290290289289289289289289288288289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293290291999999999290287289290290292293293294294295296297298299298298300299300300299300300300300300300299300299299299298297296294294295294292294294294294294294294295296295294294293292293294294293292291289292999999999287286289290291292290291292292293291292293292291292292292291291290292290291292292292291292290290290288289287287287286288288289289287290289287288290291292292292292290293292293292292291291291290292291291291291290290290290289292293291290289290291292292291292294295295295295294294294295296296296295297297298300299298299300300301301301302303304305305303303301301302301300302301300302301301303302301300300300300300300300300300301300299297298297298296296297297297298297297297297298298298299298298299298299299299300300300301300300300301302302302302302302302301301301301302302302302302302303302303303303302303303304304303304304303303303303301301301300302302300301301300300301301301301301300300301301300300299299299300300301301301301302301301303302303303303303303303303303303304304304304304304304305305305305304304304304304304304304304304304305304304305305304304303303303302302301301300300301300301301300300300301301301301300300300301301301301301300301301300299300299299299299298299299298298298298298298298297298298298299298298298297299298298298297298298299299299299299298299298298299299299300299300299300300298299298297298297297300300300300298299299299300299300301301301300299299300300300300300299300299299300300300300299298298297298297297298298298297297297297298298298298298298298298298298298298298298298298298298298297297297297297297297297297296297297296296296296296296296296297296296296296296296296296296296296296295296296296296296296296296296296296295295295295295294294294294294294294294294294294294294294294294294293293293292292292293293292292292292292292292291292292292292292292292292292292292292292292292293293293293293293293294294294293293294294293293293293293293293293293293292293293292292292292292291291292292292292291291291291291290290290290290290289289289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292291999287290288287288290293293294294294295295295296297298298299300298299299299300299299299299300300300299299298299298297296296296296294295297294294294295295295296296293292293293292293293293294292291291292291999999286286288290291291290290292293293292292292292292292291291291291291291291292291292290293291290290289287291289288286288288288288289290290289288287290291291291292292293294294293292292292292292289294291291291291289290290289291290291291290290291292293293292293294295295295294295294295296295295294296297298297300299300299300300301301301302304304304304301302301302301300301301302303301301302301301300301300301300300300300300300300300299298297296297297297297297297297297297296297298298298298298298298298299298298299300300300300302301301301300302302302302303302302302302302302303302303303304304304302304304303303303305303305304304305302303303302303301301301301300301301302301301301300300300300301301300299299299299301302301301303302302301303303303303304303303303303303303304305304304304304304304304305304305305304305304305304304304305304304306305305305304304304303304304303303302301301303301300301301300301301302301301302301300301301300301300301301300301301300300299300299299299299299299299298298298297298298297297297298298298297298298298298298299298298299299298299299298298298298300299299300300299300300299299299299298297298299299299299299300301300298301298299300301300299299299300299300299300300300299300299299300300299298298298298298298298298298298297297297298298298298298298298298298298298298298298298298298297297297297297297297297297297297296296296296296296296296297297297297296296296296296296296296296296296296295295296296296296296296296296296296295295295295294294294294295294295294295295295295295295295294294294294293293293292292292293293292292293293292292292292292292292292292292293293293293293293293293293293293293293293293294294294294294294294294294293293293293293293293293293293293292292292292292291292291292292292291291291291291290290290290290290289289289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999999300301297293292288285284285287288290293293295295296296296297297297298299299299299300299300300300300299300299300299300299298298298297296296295295295295295296294294294295295295294294293293293292293294294293291293293292291290999999286288290291291291290290292292291293292292292291290291292292291292291291293291292292292291291294291291291290288288288289289290290291289290290290289290290290291292293293294293292292292293292290293291290291291292290291290289290291292290290292292292291293293295295294293294294295295295295295296297297298300300301299299299300300301301302304304304303303302301301301300301302302302300303302301300301301300299300300300300300300300300299298297298297298298299296297296296297297297297297297298297298298298297298298299299299300301301301302302302303302302302303304303302304304304304305305305305304304305305305304304303303303304304304303304301303301302302301301301300300301301301302301301300300301301300300300300299299299301301302302301302302303303303303302303302302303304304304303304304303303304305305305304305304304305304305305304304305304304306305305305304305304303304304304302302303302301301301301301301301301301301301301301301300301300300300300300301299300300300300299298300299300299299299299299299298298298297298297298298298298298298298297298297298299299300298299299298299299300300298298299299300300300299299298299299297297298298298299299300301297298301298297298299299299299300300300299299300300299299299299299299299299299298298299298298298298298297297297297297297298298298298298298298298298298298298298298297297297297297297297297297297297297297296296296297296296296296296296296296296296296297297297297296296296296295295296296296296296296296296296296295295295294294294294295295295294295295295295295295295295295295294294294294293293293293293293293293293293293292292292292292292292292293293293293293293293293293293293293293293293294294294294294294294294294293293293293293293293293293293293292292292292292292292291291292292292291291291291291290290290290290290289289288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291295999290293293291290287287288288289290291292293295295295296296296298297298299299299298299299300300299299299299298297298298298297297296296295294295295294294294293293294294294294293293293292293293292293295294296294293292291289289999999288289290290290289288289290290292291292291291291290291293291292291290292291291292294293294291294293291291289288289289289290290289290290289290288290289289290291294291292294292292292292291292292291291291290293291291290290291290291291291290292292293291293293294294293294294295295296295295296298297296298299300300298299299300301301301302303303303304302304302302303303301303302302301301302303302300301301301301299300300299299300300299299298298297298298297297297296296297297296297297297297298298297297297297297298299299299299300300302302302302302302302302303305304305305305305305305306306305304305305304304304303304303304304303301303304301300300301302301300301300301302302302301301300301301301300300300300299298299301300301300301302303302303302302302303302303303303303303304304305304304304305304305305305305304305305304304304305303305305306305305306305305304303303303303302304302301301302301301301301302302302301302301301302302301302301300300300300300300299300300300300300299300299299299299298297297301299298298298297297297297298297296298298298299299299299299299299299299299299298299299298299299298298298298298299298297298297299300297298298297298298298298301299299299300301300299299299299299300299299299299299299299300299298298298299299298298298298297297297297297297297298298298298298298298298297297297297297297297296296297296296296297297297297296296297296296296295296296296296296296296296297296296296296296296296296295296296296296296296296296296296296295295295294294295295295295295295295294295295295295295295295295295295294294294293293293293293293293293293292292292292292292292292293293293293293293293293293293293293293293293293293294294294294294293293293293293293293293293293293293293292292292292292292292292291291291292292291291291291291291290290290290290289289288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289291290290290288288288289288290291292292292293294295294295296297297297298299299299298298298299298298298299298298298298297297297296296296297297295295294294292292293293293293295293294293292293292292294294293296291289290290289288285284287290290290290290289288289290287291291290290288292292291292292293293292292292293294292292292291292291291290289289290289290288289288289290289288289288289290291291292294293292292292293292293293293291291292292292292291291290289290291291292292292292291292293294292293294295295296296296296296297297297298298297298297299300300301301301301303302302303303304301301302303301303302302302304302302302301301302301298299300300300299299300299299298297297297297298298297297297297298296297298298298296297298297297297297297299299300300300301302303303302302302303303303303304305305306306306307307304305305306305304304304304303303303303304302303302302303302301302301300301301301301302302301300300300301300298298299299299300300300300301301301300300301303303303303302302302303304303303304304304304304304305305305305305305306306304304304303304305305305305305306305305305304303303303303302302303302301301301301301301302302301301301301302301301302302301301300300300300300299300300300300300299299299299299299299299299299299299298298297297297298298298298298298298299299299299299298298298298299299300299298298300299299298297298299298299298299297297299299298297297300298298299299300299300300301299300300299300299299300300299299299300300299300298298298298298299298298298298297297297297297297297297298298298297297297297297297297297297297297296296296296296297297297296297297297297296296296296296296296296295296296297296296296296296296296296296296296296296295296296296296296296296295295295295295295294295295295295295296295295295295295295295295295295294294293293293292293293293292292292292293292292292292292292292292293293293293293293293293293293294293294294294294294294294293293293293293293293293293293293293292292292292292292292292292291291291292292292291291291291291290290290290290289289289288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288292289292290291290289288286288288290291291290292293293293293294295296296296297297298298297297297297297297297296298298297297296295295295294294293295295294294292292292293292292293293294293292292292293293293294294294294292292293293293289290290290290290289289289290289289288290290290291291291293291291292291293293292292293290292292292292291291290290288288288289289288289289289288288286290287288290290291291291292293294295293292293293293293292292292292291292292292291291291292291292292293293294291293293293293294295296296296295295296295296297297297298298297298299300301302302304304302303301303303303302301302301302301303303304302303301302301300300299299300299299300300300299299299299298297297298298297297298297296296297298297297297298297298297297298298299299301301301302302302303303303304303303304303304305306306307307308307306305307305305304303304303303302303304303303303303303302302303302301302301300302300301301301300301300301301298299299298299299299300299300300300300301302301303302303303304304303303303303304304304304304304304305305304304304304305305304304304304305305305305305305305304304304303303304304303303301302301302301301301302302302301301301302301302302302302301301300301300301301300299300300300300300300300299299299299299299299299298298298298297297299298298299298298297299299299299298299299299299299299299299298298298301300298298300300300299299298297297299299300299300299299299300300300300300300298298300300300300299299299300299299300299299299299298298298298298298298298298298297297297297297297297297297297297297297297297297297297297297297297297296296296296296297297297297296296296297297296296295295296295296295296296296296296296296296296296296295296295296295295296297296296296295295295294295295295294294294294294295296295296296295295295295295295295294294294293293292292293293293292292293293292293292292292292292292292292293293293293293293293293294293294294294294294294294294294294293293293293293293293293293292292292292292292292292292292292292292292292291292292291291290291290290290290289289289288289288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999290290999999289292291290289292292290289289287287288288288290291291291291292293293293294294295296296296296296297297297296295295295295295295295296296295295295293293293293293294293294293293292292293292293292293292293292292293293293293293293294293292293293293293290291290289290289288289290289288288288289290290291290291291293293294293292294293293292292292292291291290292291291289288289286286288288289289288289289290289290290291292292293291292294294293294293293293294293292292292293291292292292292292292292291292293292293293293291293294294294295295295295296296297297296296296298296298300300300301302301305305304302304302304303301302302302303302302302303302303302302301301301301299301300300299300299299299299298298298297297298298298297297296296297298297296296297298296297298298299299300301301302303303302304303303303303303304304304304306306306307307308308308307306305304304304304304303302303304303303303302303303302302302302302301301301302301301299298301300299301300299300299299299300300299300298299299299302303303303304304304305305303304304304304304305305304305305304304304304305305305304304303304303304304305305303304303303304303304303303303302303302302302302301302302302301302302302302302301302301300300301301301300300300300300301301301300300300300299300300300299299298299298298299298297298297297298298298298299298298298299300298299298298300299299298299299299299299297301300299299298299297297298299299299300300301299299299300300300300298297299299300300299300300300299299299299299299298298298298298298297297298297298297297297297297297297297297297297296297297297297297297297297297297297296296296296296296296296296296296296296296296296295295295296296295296296296296296296296296296296296295295295295295295296295295296296296296295295295295295295295295295295295296295296295295295295295295295295295295294294293293293293293293293292292293293293293293293292293293292292292293293293293293293293294294294294294294294294294294294294293293293293293293293293292292293292293293292293292292292292292292292292291292292291291291291291290290290289289288288289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999294295999295999999999999999999295999999999999999999999999999999999999999999999999999999999999999289289291289288288288287288290999290293290288286285286287288288289290291291292291292292292293293294294296296296296296296296295293293293294294294295294294295293294293293292292292293293292292292292292292292292292292292291291292292291291292292292292292292292293292292289290289290290289287288289287289287288288289289290291290290290292293293292294294294291292292292292292290292291292292291289289288284287287288287287289287289289290291290291291292291292294293293293294294293294293292291293293293293293293293293293293292291291294293295294294293292294294294294296295294296296296296296296296297296300301302302302301304304304302304303304303303302302301302301303302303303303302302301301301301301300300298300300299300300299298298298297298298298298296297296296297297297296296296297297297297297298299300300302303303303303304304304304304304304304304304304306305307307307307307307307305305305305304304305304303304303303303303303301302303302303302301301303301301301300299298299300299300301301299299300299298300299300300299299301302303303304304303304304304304305304304304304304304304305305304304304305305305304303304304304304302305303304306306303302303304304303304303303303303302301301302301302302302302302302301301301300301301302302301300301300300301301301301301301300300300300300300299299299298298298299298298297298297297297297297298298298299299299298299298299300300298299299299299299298299301301300300299299300300300299300299301299299297299300299301300299301299299299299299299299299299299298299299299299298298298298297297297297297297298297297297297297297297297296296296297297297297297297297297297297297297296296296296296296297296296296296296296296296296296296296296296296296296296296296296296296296296295296296296295295295295295296296296296296296295295295295295295295295295295296296295295295295295295296296295295295294294294293293293293293293292293293293293293293293293293293293293293293293293293293293294294294294294294294294294294294294294293293293293293293293293293292293292292292292292292292292292292292292292292292291292291291291291291291291290289289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294295295295295295297298297295999999999999293999999999999999999999999999999999999999999999999999999999289287287287287285286287286286286287291290289289287285286287287288289289290291292291292292293293294294294294294295295295295295294292293292293293292294294293295292292292292292292292292292292292292292291291291291291292292292292293292291291290292291292292295293292291292291290290289289288289289288288288287287288287289289289288291291292290293295295294293292293293292292292291292291291290290289288287287288288287287287287288289290291290291290291291292293290292293293293294293294293294292293292293294293293293293293292293295292293293295295293294294295295294293294294294294295294295295296297296299300299302302304301300305306304303305305305303304303301302302302300302302302303303301301300300300301299298297298298300299299299298297298297297298297297297295296296297296296296296296297297297298299300300302302303303303303303303303303304305304304303304304305306305305306307306306306306307306307306306305305305304304305304304302302302301303303302302300302300301300298300298299300300301300301299300300300300299299300299299299300301303303303302304303303303303303304304304304303304304304304305304304304304305304304304305304304304303303303305304304304305304304303304304304303302302302301301302303302302303302302302301301301301301301301300301301300300301300301300300300300300300300300299299299299299298298298298297296297298296297297296298298298298298298298300301301300298300298299298299299298298300302300299299299299299300301300299299298301299299300300300300299300299299299299299299299299299299299299299299299298298298298297297297297297298297297297297297297297297297297297297297297297297297296297296297297297297296296296296297297296296296296296296296296296297297297297297297296296297296296296296296296296296296296296296296295295295296296296296296296296296296296296296296295295295296296296296296296295295296296295295295295294295294294293293293293293293293293293293293293293293293293293293293293293293293293293294294294294294294294294293294293293293293293293293293293293293293293293293292292292292292293292292292292292292292292292292291291291291291291290290290289290290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296293294295295295295296296296295293999999294296295297297297999999999999999999999999999999999290290290287287287286287287286286286286287287288289291291289288286287286287288289289290290291291292291291292292293293293293293293293293294294294293293292292293291291293294293293291291292292292292292292291291291291290291291291291291291292293293293293292291292291291293293292292294291290290290288289289288288287287287288288286286286289288287291291293293294295296296295294295294294294292292292292291290291291290289288287288288288288288289289289290290290289289291291290293293292293293293294294294294293294294293292291292291293293293292292293293294294294294295294295295295295294294294294294294295295295295297297298299300302303304302302306306305305306304304304302302302301302301301301301302302301301301300299299300300299298299300299300299298297298298297298297297297296296296296297296297296296296296297297298299300300301302302302303303303303303304304304303304303304304303306304307306306306306307306307308306305306305306305305306305304305305304303302302300302301301301301301300299300298300299301300301301300301301301301301300299299299299299301302302302303302302303303302302304304304303303304304304305304304305303303304303303303302303303302304304302304305304304305303304304304304303303303302302302302302302302302302303303302302301300301301301301301301301301301301300301301300300300300300300300299298299299298298298298297298297297297298298297297298297298297297298300300301300299299300298298298300300299298299301300300300299300299299300297297297299300300300300299300300300298299299299299299299299299298299299298298299299299298298298298298298298298298298297297297297297297297296296297297297297297297297297297297297297297297297297296297297297297297297297296296297296296296297297297297297297297297297297297297297296296296296296296296296296296296296296296297296297297296296296297296296296296296296296296296295295295295295295294293295295295295294294294293293294293293293293293293293293293293293293293293293293293293293293293294294294294294294294294294294293294293293293293293293293293292293293293293293293293293293293293293292292292292292292292291291292292292291292291291291291290290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297293292294295295295296296296296295294295296294295295296298295296999999999999999999999999291290290290289289288288287286286285286285285285287287288290290290290290288291289289289290290291291291291292291292292292293293293293293292293293294294293293292292292292292291293293293292291291291292291291291291291291291291291291291291291292290292293293293293293291293293291292292292292293292289288289288289288288288288287289286289289289287288288289291291291292293294296295295295296296293293292293293292290291291291291290287288288289289288289290288289290290289290292292292292293293293293293292295295292292294294292293293292292292291291292291292293293293294293295294294296296295295295294294295294295295296296295296297298299300302303304304303305306307305304305305304302302301302302300300302302301300301299300300300299299300299300299298298298299297298297297297298298297297296297297297297296297297297296296297297297299300301302302302303302303302304303303303305303304304305304304305306306307305305306306306307306305304307306306305305305305304304305303302302301301302301301301301301299299300298300301300301300300302300301300300300300301300299300299301301301302301302302302302301302303303303302303304304305304305305304303303304303302302302302303302304305303304304303304305304305304305305303302302303302302302302302302302302303302302302302300301301302302301300301300300300301300301301301300300300299299300298298299298298297297297297297297297298298298298297297298299299299300299300300299300299299299300299300298298299300300300300302299299299299298298299300301300298300300300299300298299299299299299299299299299298299298298298299299298298298298299298298298298298298297298297297297297297297297297297297298297297297298298298297297297297297297297297296296297297297297297297297296297297297297297297298297298297297297297297297296297296296296296296297297297297297297297297297296296296296297296297297297296296296295295295296296296296296295295295295294294294294294294294294294293293294294294294294293293293293293293293293293293293294294294294294294294294293293294293293293293293293293293293293292293293293293293293293293292292293292292292292292292292292292292292292292292291292291291291291290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296293294293295296298297297297297297298297297296297295296296296296294999999999999999999999999292291290289290289290289287286286286286285286286287287288289289290291291291289292290290290291291292292290291292292291291292292292292292292292292294293293294292290291290292292292291291291292293291290291291291291291291292292291291291292292292293292292293293293293292292292292293293292293293292292290290289289290289289288287288287287289289288287286287289290292293293294295294295296296296294293294293293294292291291291292290288288289289289289290290290290291291291291291291292292292293293293293295293295296293293293294293292293292292292291292291292294292294294294294295295295296296297296294295295296294295295294297296297298297298300302303304304303302307307306306305305304303303302302302302301302301301300300299299299299298296298300300298298298299299298298297297296297298297297297297297297297296297296297296296297297298299300301302302303302302304303302303302303303304303303304304305305304305306305305305306305305306306306307307307306306306304303305305303301302302301300301302301301300300299300299300301301301300300299299300300300301300301301301299300301301301301301302302302302302302302302301302302303303304304304304303303304303303303303302303302302305304303304304304304304305305304304305303304304303302303303303303302302303302303302302303303303302301301301301301301300301301299299300299300299300299300299298299299299297298297298298298298298298297298297297297298298300298299298300301299299299299299300301300298299299300300300300301297299300300297298301300298298298299300301299298297299299299299299299299299299299299299298298299299299298298298298298298298298298298298297297297297297297297297297297297297298297297297297297298298298297297297297297297297297297297297297297297297297297297297298297298298298298297297298297297297297297297296297297297297297297297297297298297297297296296296296297297296296296296296296296295296296296296295296296295294294294294294294294294294294293294294294294294293293293293293293293293293293293294294294293294294294294293294293293293293293293293293292292292292293293293293293293293293292292292292292292292292292292292292292292292291291292292292291291290290290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298296296296297298299297297297298297298297297298298298298296295999999999999999999999295999293291290289289289288287287286286286288288288288288288289288290290290291288289290289290291291292292292292292291291292291291291292292292291292292291293293293292290291291291290289290289290291292292289290290290291292292291292291291291292292292293293292292293292292292292291291293292292293292294294291290290290290290288288288288288289288287286285287286289290290292293294294294296295294294295292294293292292291292291292292290288289288289289289290291290291291292292292292292292292292293294294294295294295295293293292292292292293293290290292292291293293292293293294295294295294297297296296295295294295295295294296295296295297297297297299301303302303303305307306305305305304303303302302302302301301301301300299300299299300299297297299299300300300301299299299298298298298298299299298298297297296296295296296296296297298299299299302303303303303304304304302303302302303303304304304304304304303305305306305305305306305304304305306307306306306305305304304304303303302301301301301301301301300300300300301301301301301300301300300299300300300301302302301301300300300301301302301302302301302303303302301302302303303304304304303303303304303303304303303304302302303304303304304304305304304304304305304304304306305305304304303303303303303303303302302303303303302302301302301301302301301301300300300299300299300300299299299299299298300299298298298298298299298298298298298297297298299299299299299299299299299299299301299298299300300300300300299299297298299300299300299299298301301298299300299297298299299299299299300299299299299299299299299299299299298298299299298299298299299298298298298298298297297297297296297297297297297298297297297298298298297298298298297297297297298298297297297298297297298298298298298298298298298298298298298298297297297297297296297297297298297297297298298298297297297296296296297297297297296296297297296296296295296296296295295296295295294294294294294294294294293293294293294294293293293293293293293294293294293294294294294294294294294294294293293293293293293293292292292292292293293293293293293293293292292292292292292292292292292292292291292292292291291291292291291290289290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297294297296296298298298298296297297297297297297298298299298294294999999999999999999999999292292290289289288288287287286285284286287285287288289287288289290289289288289288290290290290291290291292292292292292291291291292292292292291294290290291291294293293291289289288289288292293291291291289290290289290290291290290290291291291291292292291291292291291291292292292292292293292293294293293292290292291289289289290290289290288287285284284286289291291291292294294295295295296292293294292295293293291292291291291291291288290288289288289290290290291291292292293293293292294293294294292292293294295293293292292292292291290291290291290292292291291292293293293295295295296295296296296296294294295296295294295297297296296297298297299300301301302305306307305306305304303303301302302301300301300301299301300299299299299299299299298299300300301301301301301300299299298298299298298299298297297296295295296296296297298300300300302301303303304304304303303303304304303303305304305304305306305305304305306305305305305304305305305307307307306306305305304305304304302301302302302301301301301300300302301300301299301299299300301300301301300299302301301301300301300301301301302302302302302303302302301303302302303303304304304303303303303303302302302302303302302302303303304303304304305304305305303304303304304303305304304304303303303303303303303303302302302302302301301301301301301301300301300300301299299299299300299299298299298298299299298299298299298298298298298298298298299299299299299298299298299299299299299299299298300300300300297298297299299301298299299299300301298299300298298298299299299299299299299299299299299299299299299298299299299299299299299299299299299298299298298298298298297298297297297297298298298298298298297298298298298298298298299299298298298298297297297298298298298298298298298298298298298298298298298298298297297297297297297297298298298298298297298297297297296297296297296297297297296296296296296297296296296297296296295296295295295295295294294294294294294294293293293293293293293293293293293293293293293294294294293293294293293293293293293293293293293292292292292292292292292293293293293292292292292292292292292292292292292292292292291291291291291291291291291291290289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999296298297297294295295296296296299297296296296297297297297296296300297295293999999999999999294295294292290289289288286286286286286286286287287286286288289289289289289289289288288289289290290290290290291291291291291291292292291291292291290290292292291289292292291290292289289288288288290291290291292290289290289289289289289290290291292290291291290290291291294291291292292292292291292293292293293293292292289289289289289290289290289289288286283283287289290291291293293293294295296295295294293294295293292292292291290290289290290290288288289290289289290291291293292293293293292294294293293294294293292295293293292291292292291291291291291291291291292293292293294295295296295296295295294295295297295295295297295296297297297296296297298298298299300301301301303306307305304303302301300300302301300301301299299300300301300299299298297297299300301300299299301299300300299300300299298298299299298298297296296296296297298299300300300301303302303303303304302303303303304303305304304304304304303304304304305306306306305306305305304305307308308307307306306306304304304303302301301301301301300300301299301301300300300300300301301302301302302300299302302302301301301301301301301301301301301302303302302301302302302302303304304304304303303303303302304302303302302302304304303303303304303304303304304303302303303303303303302303304303304303303303303302303303302302302302302302301301301301301302299300300300299301300300300300299299299299299300299299298299299298299299299298299299298299299299299299298299298297297299299301299299299300300301298297298300299297298299299299300300300299300301298297298299299299299300299299299299299299299298299299298299299299299299299299300299299299299299299298298298298298298298298298298298298298298298298298298298298298298299298298298298298298298298298298298298298298299298298299299299299299299298298298298298298297298297297298298298298298298298298298297297297296296296297297297297296296296296297296296296296296296296296295295295295295295295295294295295295294294293293293293293293293293293293293293293293293293293293293293293293293293293293293292293293292292291292292292292292292293293293293292292292292292292292292292292292292292292292292292292292292292291291291290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298298300298298295297296296297297296296298296296296297297297297297296296298295293292999999999999999294293291289288289287286285285286286286288288288287287287287289289289289288287287288289288288288289289289290290290290291290292290289291288289289290290290290289291290290290290291290289287287289290289288289291290289290289290290289289289291290292291291291290290290292293293293292292291292291292293293293292291292291291289288289287289289289289288288287283284287290290292291292294293293294295295292293294295295292292292292291290290288290291289288288289289289289290291291291291292293292292293292293291292294293293293294293292292291291292292291291292292292293292293293295295295294295295296295295295294294296297295295296295296295296294296296297297297298298299300300300303307305306304302302301300300301301300300300299300300300300299299299299298298298300301302301301301301303301300300300299299299300300299298297296297296298297301300300300302302302303303302303303303303303304305305305305306306305306307306306304305305306305305304306304305306307307307305307306305305304304304304302301301301301300300301301300302301300300299300301301300302302301301301301302302301302301302303301301302300301301301301302301303302302302302303303303303304304304303304303303304304304302302304304304304303303303302305305305304303303303303304303302303303303303303303303303302302303302302302302302302302302301301300300299300300300300299299300299299300299299299299300299299300299299299298299298299299299299298298298299299300300300300300298298299301301300300298301299299299299299299297298299298299301299299300299301299298300297298299299299299299299299299299299298299299299299299299299300299299299299299299299299299298298298298298298298298297297298298298298298298298298298298298298299298298298298298298298298298298298298298298298298299299299299299299299299298298298298298297298298298298298298298298298298298298297297297297297297297297297297296296296296296296296296296296296295295295294295294294295295295295295294295295295294294293294293293293293293293293293293293293293293293293293293293293292293293292293293293292292292292292292292292292292292293293292292292293292292292292292292292292292292292292292292292292292292291291291291290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298301300298298296296297295294296297295298297297295296296297297297297297296296296294293295999999999999999999296290288288287286284285286286285288287287287288289287289289288288287287287287287287287288288287287288288287288290289290288288289288289289289289289287288290291288289288289288288288287286285286288287290290289291291291290289289289289290291291291290289290290291291291291292292291292291292291291291292292291292291291289289290290289289290289289286283285288290290292293293293293294294295294292295295293295294293293291290290289289290290288288289288288289289290291290291291292292293294292292291291292292291293294294293292291292292292293292293293292292291294293293292293293292293294295296295295295295296295295296294295295295294294295295295295295298299299299300301303306306306304303302301301299300300299300300300300300300299300299299299299299300301301300302301301302303303302301302300301301300301301300298298298298300300300300300300301302302302302302303303303303304304303305303304306303303304305304303304305306307306304304306305306306307307306306306306307306304304303303304301301301301301300301299300302302303302301302301302300302301301299301301302302301301301300300301300301301301301301301301301302302302302303303304302304304303303303303302303303302302304303304303303302302302302303303305305303303303304303304303303303302302301302303303302303302302303301301300302302302303302301301299299299300300299299299299300299300300299299299300300299300300299299298299299299299299299298299300300299299300300299299299298299298299299300300301300299299298300299298300300298299299299299298300299300299299299299299299299299299299299299299299298298298298299299299299299300299299299299299299299299298299299298298298299299298297298298298298298298298298298298298298298297297298297298298298298297297297298298298298298298298298298299299298298298298298298297297297297297297297297298298298297297298297297297297297296297297296297296297296296296296296296296296296296296295295295295295294295294295295294294294294294294294293294294293293294293293293292293293293293292293293293292292292292292292292293292292292292292292292292292293293293293293292292292292292292292292292292292291292291293292292292292291292292292291291291290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296302299300298299297295296297297296296296297298298299300296297297298298298296296296296294293999999999999999291294290290287285284286284287288287287286287286288288288288288288287287287288287287286286287288288287287288288288289288289287288292292293292291289289288289290289289290288287287287287287286286285287286288289289290290289289288290289289289289289290291290290291290291291290290290290291291291291292292292292291291292291289289291290290289289289288287285287288289291292293293292293293294293292291294295293295294294292292291290290290291290288288288289289289289290291291292292293293292294293291292291291291293294294293293292292293293292292292293293293294293293294293293294293293293294294295296296296296295296295294295294294294294292295295293295296296297299299298298300305304305304304301300299299299299300299300300300299298300300298299298299299300299300301302302300300303303300304303303301303301301301301300299299299299300299300301300302301302302303303302303302304303304304303303304305305305305304304305305305305304306306304306306306306307305306307307306306306304304302301301302302302301301301301301301302301303299302301300300300302301300300301299300299299300301300300300301300301301301301301301300301302302303303303303303304305305304304303303302304303302304304304304303303303303302303303304304302303302303303303303303302302302302302302303302303302302300301302302302302302302302302301301300300301299299299300299300300299300299299300300300300300299299299300299300299299299299299300300300299299299300299299300300300299299299299300299300299299298298298298300299299299299299298298299297298298297297298298299299299298298298298298298298298298298298298299298299299298299299299299299299298298298298298298298298298298298297298298298298298298298298298298298297297298298297297297297297297297297297297297297297297297297298298298298297297297298298297297297297297297297298298298298297297297297297297297296296297297296297297297297296296296296296296296296296296296295295295295294294294294294294294294294294294294293293293293293293293293293293292293293293293293293292292293293293292292292292292292292292292292292292292293293293293293293292293292292292292292292291292292292292291291290290291292292291291291291290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303301302300300296297297297299298299294297297298298298298299299297297297299300296295293292292291999999999999999999999288287285284284285284286286286287287286287287287287287287287287286287286287286286287286286287287286287288289289289290289288289291291290289289289288288289289288288288287287286286287285285285285287286287289289289290289288289288291290289290290291290290290290290290290290293290290290290290291291292291290290291289290288289289289290289289287290288287288290291293293292293293293293293292292293293292293293294292292292291290291290289288288288289289289289289289289291292292293292293294292291292291292291293293293292292293292292292292292292293294295293293294294292292292292293293294294295295295295295295295295294295294294294294294294293293295296296298299299297301304304303303304302301301300299298299299299299299298298299299299298298299299299299299300300300300300301302303303303304302301301302302301301301301300300299300301299299301303302303304303302302303303304304304303303305304305304304304306305305305306306305305305306306306306306306306306306306306305304302300301301301300300301299301301300301301301299299300301300300301301300300301301299299299300301301300301301301302302301302303302302303300302303303304304304304304304303303303303303303304303303304303303304303303303302302302301303303303305303302303304302302302304301302302302302302301302302302301302302302301301302301301301300300300300299299299299299299299299299299299300300300301299300299299299299299298299298299299299299299299299298299299300300300300300300300299299299301298297297297297299297299299299299298298299298298299297297298298298298298299298298298298298298298298298298298299299298299298298298298298299298299299299298298299299299299298298298298297298297298298297298298298298298297297297297297297297297297297297297297297297297297297297297297297297297298297298298297297297297297297297297297298298298298297297297297298297297297297297296297297296297296297296296297297296296296296296296295295295295295294294294294294294294294294294293293293293294293294293293293292293292293293293293292292292292292292292292292292292292292292292292292292293293293293292292292292291291291291291291291291292291291291291291290290291291291291291290290291290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303301299299295297297297300299298294296298298297298299299297297297297297297295293290290290289289290999999999999999288287284283283286286285285285287286286287287286286286286286287287286287286286287286286286286286286288288288290290290291288289289289289290289288289287287287288288287286286285286286284284284285289286287287287287288289289288290290289289290290289290290289288290290289291289289290290290290293292292293292290291290288289289288288290290290289289286284288290292293293293292293294295293292291293293294291291291292292292291291291289288288286287287286289288288289290290291291292291291292292291291292292291290292291291291291291291292292291292293294294295293294294293294292292292293294294294294294295295296295294293295294294293293293294294293294295296298298299300301303303302303303303300300299299299299300299299300299298299299299298300299301298299300299299299301301303302303302304304304302301302302302302302302303302302302302301303303302303302302302302302303303303304303303303304303303303304304306305305305305304304304304305305306306307306306306306306306304302302301302301302301300302300301300301300300301301301301301301300301300300300300299300301301301301300301302302301302301302303304303302302302303304304304304304304304303303302302304303303303302303304302304303304303304304303304302302302302304303303302302302302302303302302301302302302302301301302301301301301301301301300300301300300299299299299298299299298299299298299299299300299298298298299298299299298298298298299298298298299299298298297299300299301301301300300298300300302301297297297299299298299297298298298297297297297298297297297298298298298299299299299299299298298298298298298299298298299298298298298299298298299299299299299299299299299298298298298298298298298297297297297298298298298297297297297297297297297297297297297297297297297297297297297297297297297297298297297297297297297298298298298298298298298298298297297297297297297296297297297297297297296297296296297297296296296296296295295295295295294294294294293294294294293293293293293294293293293293293293293293292292292292293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291292291291291291291292291291291291291290291290291291291291291290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299303300299298299299299299299299297297297298299298299299299298298297297295294292291290289288288287999999999999999287286285283282282284284284284283286287286287286286287286286286285287286286285286285287287286284286284288288289290289289289287288288289291289289289289288287287286287286285285285283283283283285285287287286287286287287289289289289290289290290291289290290288289289289289289289290289289290290292290292292292290290290289289289290289290290289289288284287289290291292293292292292292292292292291293292291291292292292291292292291288289288287286287288287288288289289290291292290291292290291291290290291291290291292291290291290290290290290291290292292292294293293292292293293293292293293294293294294294294294294294294294294294292292293294294294293294295297299298297299300301301302300300299298299297297298299299300300298298298299299299299299300300300299299299299300300300300302302303303303303304302302304303302301302302302303301302302302302301302302302302302303303302303304303302303302303304304304305305303303304303304303304305305305304305305305305304304305304303303301300300302302301302301300300300300301301300300301300299299300300300300300298299300300300302302300301302301301302303303303303302303304304303304305305303304304303304303302302302302304302302302302303303304303303303303303303302302302303303303303302302302303303303301301301302301301301300301301301301301301301301300300301300300300300300299299299299299299299299299299300299299297298299299298298299298299299298299298298297298298298297296299300300301300301300299299299301299297297298297297297299297298298297297297297297297297297297298299298299298299299299299299298299298298299298298298298298298298298298298298298299299299299299299300299299299299299298298298298297298297297297297297298297297297298297297297297297296297297297297297297297297297297297297297298297297297297298297297297298298298298298298298298299298297297298297297297296297296297297297297297296297297296296296296296296296296296295295295295295295294294294294293293293293293293293293294293293293293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291292291292292291291291291291291290290291292291291291291291290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297303301299299299299298298298298297296297297298299299299300299297297298295294291290289288287285285286287999289289287285284280280282282284284283283284286286286286286286286285285285285284284284284284285286283285286286287286286288288288288287287288288287289289289288285288287288285284283285284283283283284286286286286285286288288288289289290290290290290289290290289289289288289289289289289289289289289290291291292292291290292290289289289289289290291290290288287288289291292291292292292292291291292291292289292291292292291291291292292290286288288287287288287287288288289289288289290290291291289290290291290290289289290291290289289290289289290289289290289290291290292292292292292291291291292293292294293292293293293293294295294294293293293293293294294295295295296296296297298299300301300298298300297298298298296299300298298298299298296297298299299299300301299299299300300299300300302302302303303303303304304304303301301302303303303302302302301301301301302301302301301301302303304303304302302303304303303302304303302303303304304304304305304305304304304305305305305305305304304303302302302301301300300300300299300301300300300300299299300300300300300299299299300300300301301302302301301303303303302303302304304304304304305306304304304303303303303303303302303302302302301303303304304303303303303303302302302302301302302301301302302302300300300301301301301300301302301301300301301301301301300301300300300300300299299299299299298299299299299299298299300300299298298298299299299298299299298297298298297297296298299300299300300300299299299299298300298298298297297298298297298298297297298297297297297297298299299298300299299299299299299299299298298298298299298298298298298298298298298299299299299300300299300299299299299299298298298298297297297297297297297297296297298297296296297297297297297297297297297297297297297297297297297297297297297298298297297297298298298298298298298298298298297297297297297297296296296296296296297296297296296297296296296296296295296296295295295295295294294294294294294294294293293293293293293294294294293293293293293294293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291290291291291291291291291290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295295297302300299299299298297297297295293296296296297296298298299299300298298296294292290290289287285289286286286292288287284281279281280282281282284284286286286286286285285285285284285284283284284284285285286285285286285286285285285286289289289288288288286286286285285286285285284282282283284283283284287287287286285285285287288288288288290289290289290289288290290289288289288288289289289289289289289289290291292292291291290291290289288289290290291290291291288288290290291291292292290291290291291290291290291291290291291291291290291290287286287286287288288287288286289286289288290290291290290290289290290289289288289289289289289289290290290288288290289290291291291291291291292291290291291292292293293292292293293293294294294295295294293293293293294295295295297296297297298298299300300300300298300299297297297299298300300299298298299299299298299299300300300300299299298299300300300300303303301301303302303303303302303301302304303302302301302301301301301301301301301301302303302302303304304303303304303303303304304304304304305303304304304304305305304304304304304304304304304303303302301301300300300300300300300300300300300300299300300300300300300300300299301301301301301302301301302302303303302302302303304304304304304304305305304304303303303303303305303303302303303304303303304304303303303303303302301302301301303302301301302301301302300302301301301300300301302302301300301301302301301300300300300300300300300300299299299298298298298298298299299298299298299297298299298298298297298299298297298297298298299299299300300299300300299300300299299299298298297297299300298297297297297297297297297298298298298299298299298299299298298299298298298298298298300298298298298298298299298298299299299299299299299299299299298298298298298298297297297297297297297297297296296296296296296297297296297297297296297296297297297296297296296297296297297297297298298298297297297298298298298299298299298298297297297297297297296296296296296296297297296297296296296297297296296296295296296296295295295294294294295295294294294294294293293294294294294294294294294294294294294293293293293293293293293292292292292292292292292292291292292292292292292292292292292292292292292292292291291292291292291291291291291291291291291291291291291290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299299300303303300299299298296296297297295294295296296294293294296298298300300298295293292290289287285283287283284286292288286286999281280279279280281284284286286286286286285285284284284284284284284284284284283282282283286284284284286285287287289290288287285285286290284285285285285282283283282283283283283283287286283284286286288288289288288289290289289288290289288288289288289289289289289289289289289289289290290291291291291290290291290289290290289290291291291290291290290291291291290290292290290291290291290291291291292291292292292290289287288289288288290288288288288289288289289289289288289289288288291290288288287288287288289289290289290289289289289289292291292291291290291291291291290292291292292292293293293294293294294293294294294293293294295295295294296295294295296297297300299301301300297297298297297297297297298299298299299299299299298298299300300300300301299299300300300301300301301302303303303302302303302302303303303303302302302302301301301301301301301302302302302302302303304304304304304304304304304304304305305305305305305304304304304304304304304305306304304304303303301302301301301301301301300300300300300301300300300300300300301301300300300301301301301302301302302302303303304303304303303304304304303304304305305304304303303303303303303303303303304304303303303303303303303303302302302302302302301302302302302302301301301301301301300300300300300301301301301301301301301301301301300301300300300300299299298299298298299298298298298298299298299298298298299298298298298297297297297298298298298299299300300300300300300300300300299299299298298297298298298298298298298298298297297297298298298298298298298298298299298298298298298298297298298298298298298298298298298299299298299299299299299299299299299298298298298298298297297297297297297297298297297296296296297297296297297296296296297297297297297297297297297297297297297298297298298298298297297297297298298298298299299298298298297297297297297297296296297297297297297297297297297296297296296296295295296295295295295295294294294294295294294294294294294293294294294294294294294294294294293294293293293293293293292292292292292292292292291292291291291291292292292292291291291292292292292292292292291292291291291291291291291291291291291291291291291291290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298299299299302303303299299299298296297297296294293295295296293290290293297298300300298296294293292291287999999999285999999999999999999999999999280280281282284285286286286286285285285284283284284283283284283284284283279284282284281281285285286284287290290288285284285289288289285284284282283282282282283283283284284281284285286286286288289289289289289290290290289290290288289290290289289289289290290289290290290290290290290290290290290290290290290290290289290290291290291291291291291292291290290290289290290290290290291292291291290293291290288287287288289289289289288288287288289288289289288288288288289289288290288288288287288287287288288289288289289289289289290290289289290292291292291291291291292292292292293293293293293294293294294294293294293292294295295295295295295294295294294296297297300300299299297298297297297297297297297297299299299299299299300299300300300300299300299300301301301301301302302302303303303302303302303303303303303303302302302301301301301301301301301302301302302303303304304303304303303304304304304304305305305305305304304304304304304304304304304305304304304304302302302302301301301301300300300300301301300300300300300301301301301301301301301301301302302302302303302303304303304304304304304304304304304304305304304304304304304304304303303303304304303303303303303303303303303302302302302302302302302302302302301302301301300301301300300300300300300300301301301301301301301301301301301301300300300300300299299298298298298298298298298298298298298298298298298298298297297298298298299298299299299299300300300300300300300300299299298298298297298298298298298298298298297297297297297298298298298298298298299298298299298298298298297298298297297298298298298298298298298298299299298299299299299299299299298298298298298297297296297297297297297297296296297297296297297297297296296296297296296297297296297297297297297297297297298298298298298298297297298298298298298298299299299298298297297297297297296296297297297297297297297297297296296296296296296296295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294293293293293293293293292293292292292292292291291291291291291291291292292291291292292292291291292292291292292292291291291291291291291291291291291291291291291290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297300301301301303303303299299299298297296296294292292294295294292289290292298299300300299296294999999294999999999999999999999999999999999999999999999280282283283284285286286286285286285283282284284283282283282283283284281280282286284286284284285286288288285283283289286287287288285288284283282283283284283283284283285283286286286285285288289288289288290290290291290290290290289291290290291290290291291291290291290290290291290290290290290290290290290291290290290291292291291290291291292292291291290290290289290291291291291292292291291290289289289288289289289289290289289288288287287287287288287287287290287287287289288288288288287287289288288289289288289290290290291289289290291291291291292291291292293295293293295293293293292293293293293294293292294292292292295295293295295295295294294296297297299298298298298297297297298298297297297298298298298300300300300300300300300300300300300300301301301301302301301302302302303303303303303303303302302302303302302301300300300301301301301301301302302303302303304304304303304305305304305304304305305304304304304303304304304304304304304304304304303303303302302301301301301301301301300300301300300300299300301301301301301301301302302302302302302302302303303303303303303304303304304304303304304304304304304304304304304304304304303303304304304303303303303303303303303302302302302302302302302302302302301302301301301301301300300300300300300300301302302301301301301301301301301300300300300300300299299299298298298298298298298298298298298298298298298298297297298298298298299298299299299300300300300300300300300300299299299299298298298298298298298297298297297298298297298299298298298298298299299299299299298298298298298298298298297298298298298298298298298298299299299299299299299299300299299298298298298297297297297296297297296296297296296296297296297297296297296296296297296296296296296297297297297296297297297297297298298298298298298298298298298298298298298299298297297297297296296296297297297297297297297297296296296296296296296296296296296295295295295295295295295294294294294294294294294294294294294295294294294294294294294294293293293293293292292292292292292292291291291291291291291291291291291291291291291291291291291291291292292292291291291291291291291291291291291291291291290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299303303302302302303301299298297295296295293292291291292293293289288290292299300301300297295292999999999999999999999999999999999999999999999999999999279282285286286286286288285285285283282284284284281285285284282282283282282282285284285287281286287287286289289289288288287286285284285284283285283284284284285285284284284286286286286285287288287287288289289290290289290290290289290291290291291291291292292291291291290290291291291290290290290290290291291290290290290291292291290291292292292292291291291290290291291291293293293294291290289290289290290290290290290289290290289288288288287287287287287289287289289286286289288288287288288290287287289288288289290289291290292291290290291292291291291292293295296296292295293293293293292293293293293293293293292293293294295294295294296295294294296296298297298297297299297298298297297297297297297298298299300300299300300298298300300300300300300300301301301302301301301302302302303303303302303303302302302302302301301302301301301301301301301300302302303302303304304304304304305305304304305304305305304304304304304304303304304304304304303304304303303302302302302301301301301301301301301301300300299299300300301301302301301301301301302302302302302303303304303303303303303303304304304304304304304304304304304304304304304304304304304304304304304304304303303303303302303303302302302302302302302302302302301302301301301301301300300300300300300301301301301301301301301301301300301300300300300300300299299299299299299299299299298298298298298298298298298298298298298299299299299299299299300300300300301301300300300299300299299298298298299299298298298297297298298298298298298298299298298299298299298298299298298298298298298298298298298298297298298298297298298298299299299299299299299299299299298298297297297297297297297296297296296297297298296297297297296296297296296296297297296296296296296297297297297297297297297297297298298298298298299298298298298298298298298298298297297297296296296297296296297297297297297296296296296295296296296295296296295295296295295294294295294294294294294294294294294294294294295295294294295295295294294293293293293292292292292292291291291291291290290290290291290290291291291291291291291291291292291291291292292291291291291291291291291291291291291290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298301303303301300300300299298297295294294292292290289290290289288288288291293297299299297293290291999999999999999999999999999999999999999999999999999999279283285286288286287288286284284283283284283285285285284284282281282283286285284283285279287287286285288286287288288287287286287287286287285283283283285284284284284284287285285286285285286286287288289288289289289290292290288289290291291291292291292292291291290290290290290290290290290291291290291291291290290290290291292292291291293293294293293293292292292292292292294293293292292291289291291289290290290290290290289289289288288288287287286286287288287287289289287287288289288288289290289288288288289290290291291292292293291291290291291294292293293295294297293293293293292292293293293293293294293292292293292294295294294295294294294294295295297298298298298298298297297297297298297297297298299299299300299299298298298299300299300299300300301301301301301301301302301302302303302303302302302302302302302301302301300301301301301301302302302302303303303304304304303305305305304304305305305305305304304303304304304304303304304304304303303303303302302302301301301301301301300301301301300300300300301301301301301301300301301302301302302302303303303303303303303303303303303304304304304304304304304304305304304304305305305305304305305305305305304304304304303302302302302302301301302302302302302302302302301301301301301300300300300300300301301301301301300300301301301300300300300300300300300300299299299299299299299299299299299299299299298299299299298299298299299299299299299299300300300300301300300300300299299299299299299299299299298298297297298298298298298298298298298298298298299299299298298298298298298298298298297297297297297298298298298297298298298299299299299299299299299299298298298297297297297298298297297297297297297297297297296296296296296296297296296296296296296297296297297297297297297297297297297298298298298298299298298298298298298298298298298297297297296296296296296297297297297297297297296296296296295295295295295295295295295295295295294294294294294294294294294294294294294295295295295295295295295294294293293293293293292292292292292291291291291291291290290291291290291291291291291291292292292292291291292292292291291291291291291291291291291291291290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299301303301299298299298298296296294293292293292290288286286285286286287290292293295295293292999999999999999999999999999999999999999999999999999999999279282286285288289286290289288286285284283284286286283281284284284285285286287284284283284286284286284287285286288287287287286285285285286285284283283283286286285285285284286287286286284284285287288288289289287288290291290290292292291291291292292292292292291291290290290290290290290290290291291290291291290291290290290290292293292290293294294294294294294294293293294293293294293292292292291291291290290290290290289289289289288288287287286286287287287288288288288290288288290289290291290289289289289289289290290290291292291292291291291291291292292293293295294294294294293293293292293293293293293293292292292292292293294294294294294294294294295296297298298298297297297297296296297297296297297298299299299300299299299299300298300300300299300300301301301301301301301302301301302302302302303303303302302302301301301301300301300301301302303302303303302302303304305305304304305305305305305304305304304304304304304304304304303303303303303303302303303302302302301301301301301301301301301301300300300300301301302301301300301301301301302301302303303304303303303303303303303303303304304304304304304304305305305305305305305305305305305305305305305305305304304304303303302302302302301301302302302302302302302302301301301301301300300300300300300300300300300300301300301301300300300300300300300300300300300299299299299299299299299299299299299299299299299299299299299299299298299298299299299300300300300300300300300299299299299300299299298298298298298298298298298298298298299298299299299298298298298298298298298298298298298298297297297297297297298298298297298298298299299300299299299299299299298298297297297297297297297297297297297297296297297296296296296296296296296296296296296296296297297297297297297297297297297297297297298298298298298298298298298297297298298297297297297297296296296296296296297297297297297297296296296296295295295295295295295295295295295295295295295294295294294294294294294295295295295295295295295295295295294294293293293293292292292292292292291291291291291291291291291291291292292291291291292292291292291292292292292291291291291291290291291291291291291290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298300302302301299297298296294294294293293292292293290288284289285284287287288291288289294288999999999999999999999999999999999999999999999999999999999282282284288288289288289290289287286285285283284286286284285285285285288285287285284284283283284284284285286285285284285287285285286285285285285286283287284284285285284285284287286286287286286286287287288288289289290290290290290292292292291291290291292292293292290291290290290290289290290290290290290291291291291290289289291292293293294295295296295295295295294294294294294292291291293292292292292290290290289289289288289289288287287287288286286287287287286287289288290289289290290291290290290291289290290290292291292292292291292292293291291292292293292293293293294294294293292292292294294294293293293293292292292292292293293293294294294294294296294297297297297297297295293295296296296297297298298298298298298299299300299300300300300300299299300300301301301301301301301301301302302302302302303302302301301301301300300300300300300301302302303304304303303304303305305304305305305305305305305305304304304304304304304304304303303303303302302302303303303302302301301301301301301300300301300300300300301300301301301300300300301301301301301302302303303302303303303304303303303303303303304304304304304304304304305305305305305305305305306305305305306305305304304304303303302303302302301302301302302302302302302301301301301300300300300300300300300300300301301300300300300300300300300300300300300300300300300299299299299299299299299300299299299300299299299299299299299299299299299299299299299299299300299299299299299299299299299299298298298298298298298298298298298298298298298298299299299298298298298298298298298298298298297297297297297297297297297297297297297298299299299299299299299298298298298298298297297297297297297296297297297296296296296296297297296296296296296296296296296296297296297297297298298297297297297297297297298297297298297297297297297297297297297297297296296296296296297296296297297297297297297297297296296295296296295295295295295295295295294295295295295295295295295294295295295295295295295295295295295295295294294294294293293292293292292292292292291291291291291291291291291291292292292292291292291292291292292291292291291290290291291291290290290291290290290290289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298300300299298297297293293292291293292293292293291287284285295292286287286287286294999999999999999999999999999999999999999999999999999999999999284284283285288289289290290290289287285285288287283286286286285285285286289286286284284284284282281285282283285285284283285286286286286286285285285285291284284284284285286285286286285286287288288287288288288288289289290290289288290290290291291291291291290291292291291290290290290290289289289290290290291290290291291290289999290292293294295296296296297296295295295296294294294293291294294293293292291290291290288289289289288288287287286285285285285285285286286289287288291289290291291290290291292290290290290293293293293294293292293292292292293294295294295293293294294294294293293293293295294294293294294293292292292292293293293293294293294294294295295297297297297296296295295296295296297297298298299298299299299299298299299300300300300300300300300300301301301301301301301301302302302302302302302302302301300301300300301301300301301302302303303304303303303304305304304305305305305305305304305305305305305304304304304304304303303303303302302302302303303302302302301301301301301301300300300300301300301301301301301301300301301301301301301301302303302302302303303303303303303303303303304303304304304304304304304305305305305306306306306306306306306305305305305304304304303302302302301302302302302302302302302302301301301301300300300300300300300299301301301301301300300300300300300299300300299299300299299299299299299299299300299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299300299299298298298298298298299298298298298298298298298298298298299299298298298298298298298297297298297297297297297297297297297297297297298297298298298299299299299299299298298298298298298298297297296296296297297297297297297296296296296296296296296296296296296296296296296297298298297298297298297297297297297297297297297297297297297297297297297297297297297296296297296297296296297297297297297297296296296296296296295295295295295295295294294294294294295295295295294295295295295295295295295295295295295295295295295294294293293293293292292292292292291291291291291291291291291291291291291292291291291291291291291291291291291291290290290290290290290290290290290290289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297298299298297296296293293291294291290291290292290292292293298296294292290292289999999999999999999999999999999999999999999999999999999999999284284282286287289289289290290288287286286286288287284285287286286286287286286286286284284284283286281285281280284284284285285285285285285285285286286286287287284284284285286287286286287286287288287288288288288288289289287290289289288289289290290290290290290291291291291291290290290290289289289290290290290290290291290290289291292292294295296297297298298298298297295296296298296293292294293293291292291290289290289289289289288287287286285285285284284284285286286289289291291290290293292290290290290292292292293293293293293293293292294294292292293293292294296295296297297297298296294293293293293294293294292292292292292291293293293293293293293293294295295296297297298297295295295295295296297298297298298299298299299299299299300299299300300300300300300300300301301300301301302302301301302302302303302302301301301300301300301300300300300301302303302304304303303304304303303303304304304304304304305304305305304305305304304304304303303303302303303303302303303302302301301301301301301300300300300301300300301301301300301301301301301302301302301302302302302302302303303303303302302303303303303303304304304304304304305305305305305306306307307307307306306306305305305305304304303302302302302302301302302302302302302302301301301300300300300300300300299300300300300301301300300300300300300301301300300299299299299299299298299299299299299299299299299299299299299299299299299299299299299298299299299299299299299299299299299299299299299299298298299299299299298298298298298298298298298298299299298298298298297298298297297298297297297297297297297297297297297297297297297298298298298299299299299299298298298298297297297297297296297297296297297298297297297296296296296296296296295296296296296296296297297297298298298297298298297297297297297297297297297297297297297297297297297297297297297296297296297297296296297296296297296296296296295295295295295295295295295294294294294294294294294294294295295295295295295296295295296296296295295295295294294294293293293292292292292292292292291291291291291290291290291291291291291291291291291291291291291291291290291291290289290289289289290290290290289290289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295295297298295295295296295291289293294294293293293290292292296297295294291289287288292999999999999999999999999999999999999999999999999999999999280281282286289289288288287289288287286287285287285287284286287286287286286285285284285285285284284283282283285284284285284285285285285285285285285286287290287284286286286286287287287287288287288289288288288288289289289289288289289289289288289291290290291291291291291291290291291290290290289290289289290290289289291291288290292293293294293296298297298298298297297297297296299298297296293293293292290291291290289289290290289290288288286286285285285284286286286288289290290290290291291293290290290290290292292292293293293293293293293292293293294292292292294295296298296296297297297296296293293293293293295293292293293292292292293293292295292292291293295295296296297297297294295294295297297297297297298298298298299299298298299299299299299300299299299299299300300301300301301301301301302302301302302302301302301300300300301300300300300300301302302301302302303303303303303303303304304304304303303304303304304304304304305304304304303303304303302302302302302302302301301301301301301300300300300300300301301301301301300301301301301302301302302302302303303302302303303303303303302303303302303303303303303304304304304305305305305306306307307307307307306305305305305304305304304303303303302302302302301302302302302302302302301301301300300300300300300300300300300300300300300300301300300300301300300300300300299299299299299299300299299299299298299299299299299299299299299299299299299299299298299299299299299299299299299300299299298299299298299299299298299298298298299298298298298298298298298298298298298298298298297297298298297298297297297297297297297297297297297297298297298298298298299299299299298298298297297297297297297297296296297297297297296296296296296296296296296296296296296296296296297297297297298298297297297297297297297296296296296297297297297297297296296296297297297296296296296296296296296296295296296296296296295295295294295294294294294295294294294294294294294294294294294294294295294295295295295295295295295295295295294294294293294292293292292292291291291291290291291292291290290290291291290291291291291291291291291291291291291292291290290290290290291290290290290290290290289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291292295298298297292297295297291289293293293293293293291292293297295294294291286285288999999999999999999999999999999999999999999999999999999999281281284287288287289288289288289288288287286285284283284286289286286287286285285284285286285286285283285283285284284285285285285285285285285285286286286286288284284288287287287287287287287287288287288287287288288288289286287287288288289288287289291290290290290290291290291290290291290290290290290290289290289289289290290288290291292294294294295298299299299299298299298298303300299297297294293292291291291289290289289290289289289288287287287286285284285286286286287289290289290290291291291291291291291291293293293293293293294293293293292293293294292294295294296297297296295296296296296296295293293293293294293292293292293293292292294292293291293292292295294296297297297297296295295295295297296296297298298298298298298298299299298298299299299299299299299299300301300300301301301301301302301301302302302302301301300300300300301300300300301303302302302302302303303305304304304304304304305305304305303304304305304304304304304304304304303303303303302303302302302303303302302302301301301300301301301301301301300301301300301301302303302302303302302303303303303303303303303302302302302302302303303303303303304304305305305305305306306307307307307307306306305305305305305304304304304303303302303302302302302302302302302302302302302301301301300300300300300300300300300300300301301301300300300300300300300300299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299298298298298298298298298298298298298298298298298298297297297298298297297297297297297297297297297297297297297297297297298298298298298298299299299298298298298297297297297296296296296296297297296296296296296296296296296296296296296296296296296297297297298297297297297296296297297296296296296296297296296296297296296296297297296296296296295296295296296295295294295295295295295295295294295294294294294294294294294293294294294294294294294294294295295295295295295295295295295295295295295294294294293292293293292292292292292292292292292291291291291291292291291291291291291291291291291291291291291291291291291291290290291291290290290290290289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290294294294298296296296297296293287292292292293293293293292294297296296294290284283288292999999999999999999999999999999999999999999999999999999280282286291289289289289291290290288288287285285282283284286286286285287285284286286286285286286289285284284282284289290283284285285285285285285285289286286284289287287288288288287287287287288289288287287287287288285288285286287287287288288289289289291291290290290290290290290289290289290290289289290289289289289289290289288289289291294294291999298299299299299304304297302298298299296295295294294293292290289289289289289289290290289288287287286284285285285285287287288289289290290291292291291292292291291292294293293294294294293292294294295294294294293294294295297298298296295295295295296295294293292294294294294294292293293293293292293293293293293292296295295298298298298296296295295296296295296296297298298297298298299300299300299299299299299298299299299299299300300300300301301301301301301301302302302302301300300300300301300300300302302302302303302303303303304305305306304305304305305305304304305304305305304304304304304304304303302302302303303303302303303303302302302302301301301300301301301301301301301301301302302302302303302302302303303303303303303303304303303302302302302302303303303303303303304305305305305305306307307307307307307307306306305305304305305304304304303303303303303303302302302302302302301302302301301301301301300301301300300300301300300301301300301301301300300300300300300300300300299299299299300300300299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299298298298298298298298298298298298298298298297297297297297297297297297297297297297297297297297297297296297297297297297297298298298298298298298298298298298296297297297297296296296296296296296296295295296296296296295295295296295296296296296296296296297297297297296297296296296296296296296296297296296296296296296296296296297296296296296295295295295295295295295295296296296295295296296295294295295295295294294294294294294294294294294294294295295295295295295295295295295295295295295295294295294293293293293292292292292292292292292291292292291291291291291291291291292292292292292291291291291292291292291291291291290291291290290290290289289289289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287294293297297296296295293295294287287293293292292293292293296296296297295291285282285292999999999999999999999999999999999999999999999999999999284289289290290291291291292290290290290288286286286285285285286286286286286285285287286286285285286286285285283285289292285288288286286285285285285284286286283286286287287288289288288288286287287287286285285286287287285286286286287287288288289289291291291290290290289290289288288289289289289288289289289289289290290290289288288291292293294293296298298298298299302304297298297297297294295295292293293292291291290289289289289289289288288287287286286285285284284287287288288288290290291291290290291291291292292293293294294294294293293294294293294294293292294296295296296299297295294293295295296293293292294294294294293293293293293292292294294293293294293294296295295298299298296296296295296296296295297298297297297298299299299298298299300300298298298299299298299300299300299300300300300301301301301301301301301301301300300300300300300299301302303303303303303303303303304305305305305304304305304304304305304306306306304304304304304304303303303303302303303302303302302302303302302302302302300301301302301301302301301301302303302302303302302303303303304303303302303303303303302302302302302303303304303303304305305305305305306306307307306306307307307306305305304304304304304304304304304303303303303303302302302302302301301301301301301301301301301300300300300301300301301301301300300300300300299300300300300300299299299299299300299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299298298299299299298298298298298298298298298298298297297297297297297297297297297296297297297297297297297297296296296296296296296297296297297297297298298298298298298297297297296296296296296296296296296296296296296296295295295295295295296295295295295296296296296296296296297297297296296296296296296297297297297297297296296296296296296296296296297296296295295295295295295295296295297296297296296296296296296295295295295295295294294294294294294294294294294295295295295296295295295295295295295295294294294294294294293293293293293293292292292292292292291291291291292291291291291291293292292292292291291291291292291292292291290290290291290290290290290290290290289 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287291296295297296296295294295293288288293292293293293292294296297297297296294288283284293999999999999999999999999999999999999999999999999999286286288290291291290290291291291291290289288287286286287285286286286286287287287287287287287287285287286285284284284287292287288289287286286284284283286286282288289290287288288289293288288288287287286285285285286286284285286286285286288288288288291291291291290290290288288289287288287287287288287288289289288289290289289290290290291293295295296297297299298298298299299299298297297296294293297295292293292292290290290290289289289289288287287286285285284285285285288288288288288289290291289290291291290291292292293293293294294294293293293292293294294293293294295297296296298296295294294295294293294294293294294294294293294293293292293293294292293293294294294295294295296298297296295294294295296296295296296298297298297298299298298298299299300299298298298298297298299298298298298299298300300300300300300301301300300300299299300299300300300301302303303302303302303303303302303304303304303304304304303305305304304305305305304303304304304304303303303302303303302302301302302302301302302302302301300301302302302302301301301302302302301302302302302303303303303303302302303303302302302302302302303303303303303304305305305305305306306307307306307306306306306305305304304304304305304304304304303304303303303302302302302302301301301300301300301301300300300300301300300300301301301301300300300299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299298298298299298299299299299299299298299299299299298298299298298298298297298298298298298298298298298297297297297296296296296296296296297297297297297296297297296296296296296296296296296297297297297297298298297297297298297297297297297297296296296297296296296296296295295296296296296296296296296296296296296296296296296297297297297297297297296296297297297297297297297297297296296296296296296296296296295295295295295295295295297297297297297297296296296296296295295295295295295295295295294294294294294295295295295295296296295295295295295295295295294294295294294293294293293293294293293293293292293292291291291291292291291291292292292292292292292291291291291292291291291290290291290291291291291290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293295296296291293293296294288293293293293293292292294297298299299298297292285285291999999999999999999999999999999999999999999999283287286285290290290291291290290290291290288288288287286287286284284286286287285285286287284287287288289286283285285284287286290286289284287286287283286287284284283284286284287288289291292287287287288287286286285286286286284284284285285287288288289288289290289291290290290290288289288288288287287289290290289289288289290289289290290291292292296295297298298299299298298299298298297297296295294293293294294293293292291291290289290289289288288288288287285285285285286286288288288288288289289289290291292292291291292293293293293293294293293293293293293293294294293294295296295296296297296296294295296294294293295293293293294294293294293293292293294294294294293296293295295295296296295294295296295295295296296298297296297298298298298299297297297299298298297298299298298299298298297298298297298299299299299299299300300301300301300299299299299299301302302302302303302303303302302302302303303303303303303304304305305304304305305304305304304304304304303303303303302303303302302302302302303302302302301301300300301300301301301300301302301301301301301301302302302303303303302303302302302301301302302303303303303303303304304305305305305306306306306306306305305305305305304304304304304304304304304304304304304303303302302302302302301301301301301300301300300300300300300300300300301301301300301300300299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299298298298299298298298299299299298299298299299299299298298298298298298298298298298298298298298298298298297297296297296296296296296296297297297297297297297297297296296296296296296296296297297296297297298298298298297297298297297297297296297296296297296296297297297296296296296296297296296296296296296296296296296296296296296297298297297297297296296296297297296296297297297297297297297296296296297296296296297296295296295295296297297297297297297296297296296295295295295295295295295295294295294294294294295295295295295295295295295295295294294294294295294294294294294293292292293293293293293293293293292291291292291291291291291291291293292292292292291291292292291291293292292291290291291291291291290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293292294290293292296296295293293295294293292293295297297298299300298299295287285285999999999999999999999999999999999999999999282283284286286291288292290290291290289288288287287286287285286285285285285286287287286287289287285285284286288287285285288290287288288288283284282283287284283284283285285286286288287288289288287287287288287286286285286285286284284284284285287289287287289289290290290290291290290289288289288288287287288290289289288289290999999999999289290291293291295298300299297298298298297303297296296297296294295295295294293292292292292290289290290290289290289288287286286286286286287289289289288288289289290291291291291291292292293292293293294294293294294294293294294293294294295297298297297296297299297293293295295295295294292293293292292292293293292293293294293294294294294293294295296296296295296296295294294295296296296296296296296297296298298296296297298298297298298301298299298298298297296295297298298298298298298299300300300300300300299299298299300301301301302302302301302302302301301302302303303303303303303305305305305304304304305305305305304304303304304303303303302303302303302303302303303302302301300301301301301301301301300300301300301301301301302302302302302302302302302302302301301302302302302302303303303303304304304305305306306306306306306306305304304304305304304304304304304304304304304304304304304304303302302302302302301301301300301301300300300300300300300301301301302302301301301300300300299300300300299299299299299299299300299299300299299299299299300300300299300299299299299299299299299299299299299299299299299299299298299299299300299299298298298299298298298298298298298298298298298297297297297296297296296296296296297297297297297297297296296296296296296296296296296296296296297297297298298298297297298297297297297297297297296296296296296296297296296296295295296296296296296296296295296296296296296296296296296297297297297297297297297297296296296297296297296297297296296296297297297296296296296296295295295296296297296297297297297296296296296296296296296295295295294295294294295295295295295295295295295295295295294294294294294294294294294294294293292292293293293293293293292293292291291291291292291291290291291291292292292292291291291291292291292291291291290291291291290291291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293294295293294294292291291294295294293293295297298298297298295300296298291288280280999999999999999999999999999999999999285282285285289289290288291291290291290288287286286286286284285286286285285285286287287284286286287287284285285288287288290287288288284283284284285284284283286283283284284285286285286287287288288287287287286286285285285286286284284284284284284284286287287290287291291291290291291290290288288287288287287287288289290291999999999999999999999999290293293294295300299999297297297297302303298294298297294294294294292292291290291289291290291290291291291290288288288287287287287289289289289288289289290290290291292292292292293292292293293294294294294294295293294294293295295296295296297296298299300299295294294294294297297295293294293293293294294294294293294293294295294294295295295295295296297296294296296294296297296295297296296297297298297296297296297298298299298298299298298297298297297296296296296297297296296298298298298300300299300300300299299301301302302302302302302302302302302303303303303304304304304305305303304304303304304305305304306305304304304304304304304303303303303304303304303303303302301301301301301301301301301301301301301301301302302302302302302302302302302302302301302302302302302302302303303304304305305305305306306307307306306306306305305304304304304304304304304304304304304304304304305304304303303303302303302302301301301301301301301301301301300301301301301302301301301302301300300300300300300300299300299299299299300299300300300300300299299300300300300300300299299299300300299299299299299299299299299299299299299299299298300299299298298298298298298298298297297298298297298297297297297296296297296297296296297296296297297297296296296296296296295295295296296295296296296297297297298298297297297297297297297297297297296296296296296296296296295296296296295296296296296296296295296296296296296296296296296296296296296296297297297297297297297296296297296296297296296296296296296297297296296296296296296296297296297296296297297296295296295296296296296295295294295295295295295295295295295295294295295295295294294294294294294294294294294294294294294293292293293292293293292293293292291291292292291291290291291291291292292292292292292291292292292291290291291291291291291291291291291291290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293294296295294293290292292295294293294297298299299295294294295296295294290285283283283288999999999999999999285284284284286287289288290288288290290290290288288287285285286287284285286285284287287286287286286284283287286283284284288288288287285287287287281283284285283288287283282281283283284286286287286287288287286287287285285286286284285286284285287286284285285286285286289289290290290290290291291292291289289290289287287288289292289999999999999999999999999999999293294297298298999999296304304304300299298298296296294295294294293293293290291291291291289291291293290288289289289288288289289289289289289289290290291292291291291292292293292292293293294294294294293294294295295295296295296296296297298294298300296296295295295295298296295296293293293293294294295295294294294293294293294295294294295295295295295295294294294295297297296297296295297297297297296297296297297298299299302299298298296294297295295296296296296298296296297297298299299300299299299300300300300300301302302302302302302303303302302303302303303304304304303304303303304304304304304305305304305305305305304304304304303303303303303304304304303303303302301302301301301301301301301301300301301302302302302302302302302302302301301301302302302302302302302302303304305305305305305306306306306306306306305305305305304304304305304304304304304305305305305305305305304304304303303303303303302302302302301301301301301301301301301301301301301301301301302301301301300300301300300300300300300300300300300300300300300300300299300300300300300300300300300300300300300299299299299299299299299299299299299300300300299299298298298298298298298298297297297297297297297297297297297296296296296296296296296296296297296296296296296296296296295295296296296295296297297297297298297297297297297298297297296296296296296295295295295295295295295295296296296296295296296295296296296296296296296297296296296296296296296296296297297297296297297297297297297296296296296295295296296297297297297297296296296296296296296297296296296295295295295296296296295295295295295295295295295294295295295295295295295294294294294294294294293293294294294294294294293293293293293293294294293293293292291291291291291290291291291291292292291292292292291291292292292290291291290290290291291291291291291290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293291292294292293292291294294294296298300299298294295296297298295294292295286286284285285285284282999999283284285287285286287287288287288290289289287286287286285284285284280285284286283286285285287284287286287283285285282282285285286285286282280281283283285283287287287282282282283283289289286284286286287287286286288284285285285285285286283283287284284284287287289287289289292292288288289292291291290290289289288288288289289291288999999999999999999999999999999999999999999999999999297301303299298298298296297296294295294293292292293291293290290290289290290290289289288290289289288289290290289289289290290290291292291291290292291291293295293293293293292293293294294295295295294294295296297296296295297299297296295295294293295297295295294294294294294294294294294295296295294294294294294294295294295294295295294295294296297297299298297297296297298296296297297297296296299299299299298295296296296297295295296296296296297297297297297298299300299299299300300301300300301302302302301302302302303302302302302302302302304304304304304304305303303304304304305306305305305305304304304304304304303303303302303303304302302302302302301301301301301301301300300300300301301302302302302302302302301301302301302303303303303303303304304304305305305305305306306306306306306306305305305304304303304305305304305304305304305305305305304304304304303303303303302303303302302302302302302302302302301301301301302302302301301301301301301301301300300300300300300300300300300300300300300301301301300300300300300300300300300300300301300300300300300299299299299299300300299300300300300299299299298298298298298298298298297297297297297297297297297296296296296296296296296296296296297297296296296296296296296295295296296296296296296297297297297297297297297297298297297297296296296295295295295295295295295295295295295296296296296295296296296296296296296296296296296295295296296296296296296297297297297295296297296296296296295296296296296296296296296297296297297297296296296296295296296296296295295295295296295295295295296295295295295295295295295295295294295294294294294294294293294293294293294294294294294294294293293293293293293294293293293292291291291291291290291291291291291292292292292292291291291292291290291290289290290291291290290291290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294290295297294290288289290290297293300300298293293297298297296295291291289285284282285285284283283282284286286289288288286286288289286286287286286285286285283284285288285286283285285289285285286287288285285285285283283281285287286288282285279280283284284284283284284282282283282285284285287287287287286285286286286285284287285285285284286286286284284285286287285289289289290288288286288290290291290289287287288288287287288289999999999999999999999999999999999999999999999999999296300302301300299298298296297296296295294294291292292291293291291290290291289289290290290290289289289289290290289289289289290290291290291291291291292293294294293293293292293293295294295294294294294294295297297296297297299298298296295295295295295294293294296295294293292294294295294294295296297294294294294294295296295295295295295295295296297296297297297297297297297296296296297294296296298299299298298297297297296295297296297296297295297298297296298298298298297299299301301301301300301302302302301302302302302302301301302301301302302303303303303303303303303304304304304305305305304305305304304304303303303303303303302303303303303303302301301301301301301301301300300300301301301302301301302302302302302302301302303303303303303303304305305305305305306306306306306306305306306305305305305305304304304304305305304305304305305305305304304304304304303303303303302303303303302302302302302302302302302302302302302302302302302302302301301301301301301301300300300300300300300300301300300301301301301300300300300300300300300300300300300300300300299299299299300300300300299299299299299299299299298298297298298298297297297297297297297297297297297297297297296296296296296296296296296296296296296296296296295295295295296296295296296296297297296297297297297297297297297296296295295295295295295295295295295295295295295296295295295295295296296296296296297296296296296295295296296296296296296296296296296296295296296296296296296296296295296296294296296296297297296297297296296296295296295295296295296296295295295295295296295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294293293293293293293293292292292291290291291290290290290291291291291292292292291291291290291291290289290289290290290290290290292290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293294295294289287289290291293294300299293292295295295296295294291290288286285285283284285285286285286288290287289288288288287285285285285284284284284283283286285285286285285283285286285287285286286284284283282283285284288288286281281280281283283283283284283283282282283282284282286286286289286285286285284285284284284283285285285285286285285285288288289289288287290289289289286288288288289291290287287286288287286287286999999999999999999999999999999999999999999999999999302302302302301300299298297298298297294294292292292292292291291291291291290290290290289291290290289289290290290290290289290290290291291291291292291292292293293292293292291293293294294294294295294294295296297299299297297298296296297297296296296295295295296297295294293294293294294294295296296295295295294294294296296295295295295296296297296297296296296295297297298298297296297297297297295299297299299297297297295297298297297297296295295297297298297298298298298299300300301301302300300301301301301303302302302302302302302303301302302302303303303303304302301302303303303305305305305304304305305304303304303303302303303303303303304303302302301301301301300300301300300300300301300300301301301301301302302302302302303303303303303303304305305306305305305306306306305305305305306305305305305305305305304304304305305305305305305304305304304304304304304303303303303302303303303302302302302302302302302302302302302302302302302302302302302301301301301301301300300300300300300300301301301301301301301301300300300300300300300300300301300300300300300300300300299300300300300299299299299299298299298298298298298298298298297297297297297297297297297297297297296296296296296296296296296296296296296296296295296296295295295296296295296296296296297297297297297297297297297296296296295295295295295295295295295295295295295295295295295295295295295295296295296296296296296296295295296297296296296296296295295296296296296296296295296296296296295296296296296296297297297297297297296296296295295295295296296296295296295295295296295295295295295295294295295295295295295294295294295295294294294294294294294294294294294294294294294294293294293293293293293292292291291290290290290290291291291292292292292292291292291291291291290290290289290290290290290290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295295295290287288288297289291299300295293294294295295295295291290290289288286285285288286287285286287288289288287287286285284285285285284284284285287286287286286285285285283285286285285287287283283284286284281282287289281282283282280282282283283282284283283282282283283282283286283282283285284284285285285285284284285285286285284285284285286288289287287288287291290291288288286288287288288290289288286287286286285286999999999999999999999999999999999999999999999999999297302300299301299296297298298297296294294293294294292291291291292291291291290291291290290290290289290290290288290290290290290290291292292292291291292292293293293293292292293293294294294294294294295295295297297295297297297296296296296297296297296296296294294295295295294294295294295294294295295296295296295295295297297295295296295295296296296296297297297297296298298297297297296296296295297297296297297297297295296298297297297295296296296296298297298298298299301301301302301301300300301301303302301301302302302301302302302301302303303303303303301302302303301301302302303304305305304304304305305305304303303302302303303303303303303302302301301301300300300300300299300300300300300300301301300301301301302302303303303303303304304304305305306305305305306305305305305305305305305305305305305305305305304304305305304305305305305304305304304304304303303303303303303303303303303302303302303302302302302302302302303303303303303302302302301301301301301301300300301301301301301301301301301301301301301301300300300299300300300300301301301301300300300300300300300300300300300299299299299299299298298298298298298298298297297297297297297297297297297297297297296296296296296296296296296296296296296296296296296295295295295295295295296296296296297297297297297297297297296296295295295295295295295295295295295295295295296295295295295295295295295295295295295296296296296295296296296297296296297296295296295295296296296295295295296296296296296296296296296297296297296297296296295296295296295296296296295296296295295295295295295295295295294294295295295295295295295294295295295294294294294294294294294294294294294294294294294294294293293293293293292292291290290290290290290291291291291292292292292291291291291291290290290289291290289290290290289289289290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292293294293295291289288296297297298299294293292293294294293293291291290290288287288285289289287286286285287287287287285284284284284284284284283284284286286281286286285288283285287283283285286286285283284286283283287289287280284282280281282283283283283284284283283281281281282283284283282284285285285285284285285284284283285284284283284285286284286287286285286288288285287288289288288287287287288289289289286286286284999999999999999999999999999999999999999999999999999999296301299298298297296296296299298296295294295294295294291291291291291291290290290290291291290289289290290289290289290289290291291291291292291291292292293293293291292292292293293294294294295295295295296296298296293297296296296296295296297296295296295295295295295296296294293294295294295294295294296296297297297297297297297297296296297296297296295296297297298297297297296296297296297296296297298297297298297297297296297297296296296296296296297297298298298298300299301302302301301301301301301301303302302302302302302302302302303302303303303302303301301302302301302302303303304304304305306305305305304305305303303303303303303304304304303303302301301301301300300300300300300300300300300300300300301301301302303303303304304305305304305305306306305305306306305306305305305305305305305305305304305305305305304305305305304305305305305305304304304304304303303303303303303303303302303303303302302302302302302302303303303303303303302302301301301301301301301301301301301301301301301301301301301301301301301300300300300300300300300301301301301300300300300300300300300300300299299299299299299299299299298298298298298298298297297297297297297297298298297297297296296296296295296296296296296296296296296296296296296295295295295295295295295296296296296296296296297297296296295295295295295295295295295295295295295295295295295295295295295295294295295295295295295296295296296296296296296297297296295296295296297296296295296296296296295296296296296297296297297296297297297296296296296295296295296296296296296296295295295296295295295294295294294295295295295295295295295295294294295294294294294294294294294294294293294294294294294294294294293294293293292291290291290291290291291291291291292292292291292291291290290291291291290289291289289290290289289290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294291294293293291287291292293296296295295294292292293293292291290289289290291289288288289289287285286286285285286286286285284283282283283284284284283283289289286286286286286285284283288285284284285282282284283280282282282281282281281282282284283283283284284282282280280281285284283285284286285284285285286285286285284284284282286285286285284285285283285285286288289287288286289288287288287287287289291291289287286285999999999999999999999999999999999999999999999999999293295298298297297296297296296298297296296295295296295293292292293291290290290291291291291292291291289290291288289290290291291290290290291291291292292292293292292291292292293293293294295294295295297296297297299294295296296297296296296295295295296296296295295296296297297295295295294294295295294295297297296296296296298298297298297296297297297296296296297297297297296296296295296296296297297297297298297297296296295296295297296297296296296296298295296297298298299301300301302302302301303302301301303302301302301301301302301302303302303303303302302302302303303302302303303304304305305305305305305305304304304303302302303303304304304304303303302302301300300301300300301300300299299299299300300300300301301302303303303304305305305305305306305305304305305305305305305305305305305305305305305304305304304304304305304305304305305305305305305305304304304304303304303303303303303303303303303302302303302303303303303303303303303303302302302301301301301301301301301301301301301301301301301301301302302301301300300300300300300300300301301301301300300300300300300300300300299299299299299299299299299299298298298298298298298297297297297297297297298298298297297297296296295295295296295295296296296295296295295295295295295295295295295295295295296296296296296296296296295295295295295295294295294294294295295295295295295294294294294295295294294294295295295295296296295296296297296296296297297297297296296296297296296295296296295296295295296296296296297297297296297297296295295295296296295295295296296296296296295295295295295294295295295294295295295295295295295294295295295294294294294294294295294294294294294294294294294294294294294294294294293293292291291290290290290290290290291291292292292291291291291291289290290290289289290289289290289289289289290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293296293292293291291291292291295295295295292291293292292291290289288289290289289289287287285285286282283284285288288287284282283284285284286283285285285285285286285287285283282285285284284284284280281282281285283282282280280281280281283283284282283283283282282286284285287286284285284284284285284284285286285285283283282284284283284285284284282283284285285288285286287286287290288288288285284288283291290287287287999999999999999999999999999999999999999999999999999292296296299299299296297295297298297297297296296296296294294294293294292290290291291290291291291290290290289288289290291290290289290291291291291292292292293292292291292292292292293294295294295296296296295296294294294296296298296296296296296296296295296296294297296296297296295295294294294296296296296296296296297297298297297297297296297296298296295297297297297296297296296296295296297297297297297298297296295296295296297297297297295296295295296297294297297298298298300300299299301303302301301301302303301301301302301302302302303303303302301302302302303303303303302303302303304305305305304303305305305304304304303303303303303303303303303302302301301301300300300300300300299299299299300300300300300300301302303303303304305305305306306305305305305306306305305306305305305305305305306305304305304304304305305304304304304304304305305305304304305304304304304304304304303303303303303303303303303303303303303303303303303303303303302302302301301301301301301301301302301301301301301301301301301301301301301301300300300299300300300300301301301300300301300300300300300299299299299299299299299299299298298298298298298298298297297298298297298298298297297297297297296296296296295296296295295296296295296295295295295295295295295295295295295295295296296296296296296295295295295295294295295295294295294295295295295295294294294294295295295294294295295294294295296296296296296297296296296296297297296296296296296296296296297296296296296296296296296296297296297297296296295295295295296296295295296296296296296296295295295295295294295294295295295294295295295295295294294294294294294294294294295295295295294294294295294294294294294294294294294294293293292292291290290290290290290291291292292292292292292292291291291290290290290289290290290289289289289289290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297293295295292291291292295294296296296294291291292292289289288287287288288288286288285284288283283283288286286286286286282283288284287285285284288286286285286286285284282286285284280281280278279281283283284285282281281281280281282282283284281283287288286284286283284285285285284283284284285285285285285284283283283282282283284284283285283283283285285285284284287287287287288286287284283283287284293290291288289999999999999999999999999999999999999999999999999999999296296298300299297297296296296298297297297296296296295295294293294293293292292291290290289289291289290289290289291292291291291290291292292292292293292292291292292293292292293293294295295294295295296295297294294295296297297297297296295295296296296295296296297297296297296296295295295295297295295296296296295296297297298298298297296296297297296296296296295297297297296296296296297297297296296297297296296296296295297296295295296295296297297296296296298298298298299299300299300300300300301301300301301301302301302302302301302302302302302301301301302302302302301302302303303303303304303303303304304304305304303304305303302302303303303303302302302301301300300300300300299299299299300299299300300300301302303303303303304305305306306306306305304305305305305305306306306305306306306306305305305305304305305305305304304304304303304304304304304304305305304304304303304304303303303303303303303303303303303303303303303303303303302301301301302301301302302301301301302302302302302301301301301301301301301301301301300300300300300300300301301300300300300300300300300300300300299299299299299299299299299298298298298298298298298297297298297298298298297297297297297296296296296296296296296296296296296295296296296295296296295295295295295295295296296296296296295295295295295295295294294295294294295294295295295295294294295294294294295295295295295295295295295296296295297297297296296296296296296295296296295295296295296296296296296296295296296296296297296296296296295295295295295295295295296296296295295295295295295295295294295294295295295295295295295295295295295295295295294294294294294295295295295295294294294294294294294294294294294294293293293292292291291291291290290290291291291292293292292292292291291291291290290289290290290289290289289290290289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294295294295295291291292295296294295296295294291291291289288288288287287287286289287286286282284282287287286286287287286286286287287286285286286292287286287288288285285284286280281280280281279281280282282282284284282282281281282282284288284287287286285286285285284284285283283284284285284285283284284284283283283282283282283283284284283284285284286285285283284284286286287287292287284284288289289291294290288283999999999999999999999999999999999999999999999999999999297297301299298297298295293294297296296297296296295295295294294294293293292293291289290289288288290289288289291291290290290291291291292292293293292292291291292292292292292293294294294295294295296295295297296294293296297298298297296297296296296296295296297298296299299299297296295295295296297295296296296295296297297298298298297297296296296296296295296296296297298296296296296296296296296297297297297297297297296297296296297298296293296296296296298298299299299300299300300300302301302300300300301301301302302302302302302302302301302300301301302301301302302302303303303303303304304303304304304304304304304302303305304302303303303302302302302302302302300301300300299298299299299299300300300299300301301303303304304304305306306306305305305304304305304305305306305305306306305306306306305305304304305304305305305304303304303304303304304305305305305305304303304304304303303303303304303303303303303303303303303303303303303303302302302301301301302302301301301302302302302302301301301300301301301301301301301300301300300300300300300300300300300300301301300300300300300300299299299299299299299299298298298298298298298298298298298298298298298297297297297297296296296296296296296296295296296296295295295296295296296295296295296295295295295296296296295295295295295295294294294294294294294294294294295295294295295294294294293295295295295295295295295295298297296296296297297296296296296296296296295295295295296296295295296296296296296296296296296296296296295295295295295295295295295295296296295295295296295295295294294295295295295295295295295295295295295295295295295295295294294294294295295295295295295294294295295295294294294294294294293292292291291291291291291290291291292292293293292292292292291291291291290290290290291289290290290290289289289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291294295295294292291293296295293293294294293290290288287287287287286285285286284284283282283286285286287287286286287285286285286285286285285284287287290285287286287289284281282283281282279280282282282282282285283282281281281282285284284286285284290285290286284284283284283284284282282283285284282282284285283283283283283283284284284284285284286284285284285285286286289289288285284287286286287287288289288285287999999999999999999999999999999999999999999999999999999301300299296295296293293294294294296296297296295295294293294294293293294293291291289288286288288289289289290290289290290291291292292292292292292292291291290291291292292292293295295295294295295296296294294294294296295297298298297297296297297297296296298298297300299297296296296296296296296296296295295295296298297297297298296297296296297296295295297296296296297297297297295295296296296297297297297296296297297297297297298297296295295296295297298299298299299300300300300301301302302301300300300302301302302302302302302302301301301301302301302302302302302303303303303304304305305305303304304304304304303303303303303302303303302302302301301301302302300300301300300300299299300300300301301301301302302303304304303304305305305305305304305305303304303304305305304304304305305305306305305305305305305306306305304304304303303304304304305305305305305305304304304304304304303303303303303303303303303303303303303303303303303302302302301301301301302301301301301301302302302302302302302302302301302302301301301301301300300300300300300300301301301301300301300301300300300300299299299299299299299299299299299299298298298298298298298298298298298298297297297297296296296296296296296296295296296296296296296296296296296296296296296295295295296296296296295295295295295295294294294294294294293294294294295294294294294294294293293295295294294294295295295295296296296296296296296296296296296296296295295296295295295295296295295295295296296296295296295295296296296295295295295295295295295295295296296296296296295295295294294295295295295295295296295295295295295295295295295295295294294294294295295295295295295295295295295295294294294294294294293293292292291291291291291291291292292293293293292292292291291291290290290290290291290290290289291289289289289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292295297291293293294297293293291292294294292286286287286286285284285285286284285283285287287285286286286286287287287287286286287285286285285284288287287287285286284283282280281282283282283283282283283284285283282282284282284283285285286284284283288282283282284282281282282283282282281281282282281282282283284285284284283283282283284283283286285284284284284285285286288285287284284286285287287287289288285999999999999999999999999999999999999999999999999999999999999297296295293292291293294295295296296296296296296295294293293292292292292291291289288287288289289288288289288289289291292292291292291291291291291291291290292291291292293293295294295295295296296294293294295296297296296297296297298297296297299297296299299298300299297297297297297297297297297296295295297296297297297297297297297297297296294294296295296296297297297295296296296295296296297296296297297296297296296297297296296296296296296296296296297297298298299299299300301301301301301301301301302302301301301302302302303302302302301302302302302303302303303303303304305305304304304303305304304304303303303304303303303303303302302302302300302302301301301301301301300300300300301301301301301302302303303304304303304305305305305305305305304304304303303304304303304305305305306306305306306306306306306306306304304304304304305305304304304304305304304304304304304304304303304303303304303304303303303303303303303303303302302302302302302301301302301301301301301302302302302302302302302302302302302302301302302301300300300300300300301301301301301301301301301300300300299300300299299299299299298298298298298298298298297297297298298298298298298298298297297296296296296296296296296296296296296296296296296296296296296296295295295295296296296296295295295295295295295294294293293293294294294294294294294294294294294294294294294294294294294295295295295295295295296296296296296296296296296296296296296296295294295295295295295296296296296297296296296296296296296295295294295294295295295296296296295296296296295295294294294294294295295296296296295295295295295295295295294294294294294295295295295295295295295295295295295295294294294293294293293292292291291291291292292292292292292293292293292292291291291290291290290290290290290289290289290290289289290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295297295294293293294292292291289291292292288292285285286285286285284286285285285285287286286286286285286286288288289290287287287286286285285284285287286286285284281280282281282283283284282282282283282283281281285284283282281283284284283283282288290283284282280280280280280280282281281281283282283283284283285285283283282283284283284284283286284283285286285285286286286285285286286284284282287289289285999999999999999999999999999999999999999999999999999999999999292296294291291290293294295295296296296296297296296294294293293293292292291291289288287292291287288288289292289289291291291292293291292292291290290290291291291291291292294294293295295295296294294294294294295296296297297298298297297297297299299297298298301302297299296297296296297297296296296297297297298297297296296296297297297297295294294295296296296297298296294295296296295297296297297297297297297297296297297297296295296297296296295296296299297297298298298299299300301301300301300300301301302302300301301302302302302302302301302302302303303303303303304304304304305304305305304304305304303304304303303303302303303303303302302301301301302301301301301301301301301301301301302301302302303303303303304303304305305305305305305305305304303303303303304305304305305305305306306306307306305305306306305305305304304304305305304304304304304304304303303304304304304304305305304304304304304304303303303303303303303303303303303302302301302301302301301301301302302302302302302302302302303303302303302302302302301301301300300300301301301301301301301301301301300300300300300300300299299299299299298298298298298297297298298298298298298298298298298298297297296296296296296296296296296296296296296296296296296296296296295295295295296296295296295295295295295295295295294294293294293293294294294294294294294294294294294293294294294294294294294295294295295295295295296296296296296296296296296295295296296296295295295296295295296296295296296296296296296295296296296295295295295294295295296296296295295296296295295295295294294295295295295296296296295296295295295295295294294294294294294294294295295295295295295295294294295294294294294293293293292292291291291291292292292292292292292293292292292291291291290290291289290290290289290290289290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294293293292294289288290290289289291290286284284286285287286287285286286283284285285286285285284284285287288287287287286286285287285284283282282285284282282283280282282282281280281281282281281282281282282283282283283283282283283285283286282282280281281279279280280281281282283282281282283283283282283285285284283282283283283284284284283284284285286284284285287286285287287286285284284286285291289999999999999999999999999999999999999999999999999999999999999999295292291290293293294295295296296295297297297296295294293292293294292292291289288289289288288288288289290291290291291291292292291292292289290291290290289291292291292293293293294294295296293294294294294295295296297299298298298299297297298299299299301298298297298296296297297296296296296296296298298298297296296295296297297297296294294296295296296297298297295296296295297298298298298297298297298298298297297296296296295296296296296296294299298297297297298298299299300301301300300300300299300300300300301301301301302302302302302302304303303302303303303304304303303303304304303303304304303304303304303303303303302303304303302302301301301301301301302302301301301301302303302302302303304304304303303304304304304305304305304304304304303303304303304305305304305305305305306306306306306306305306305304305304304304303304304303304304304304304304303303304304304304305305305304304304304304303303303303303303303303303303303302302302301301302302302301301302302302302302302302302303303303303303303302301302302301301301300300301300301301301301301301301301301300300300300300300300299299299299299298298297298298298298298298298298298298298298298297297297297296296296296296296296296296296296296296296296296296296296296296296295296296296295295295295295295295295295294294294293294294294294294294294294294294294294294294293294294294294295295294294294294295294295295295295296296296295296296296296295295295295295295295295295296295295295295296296297296296296296294295295295295295294295295295296296296296296296295295294294294294295295295295296296296295295295295294295295294294294294294294295295294295295295295294294295295295294294294294293293293293292291291292292291292292292292292293292292292291291291291290290291290290290289290290291289291290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292293291292291290287288289288286287290288284289283288288287287285284284285284284285286285285286285285286288286286287286286287288286284284283284284283282279282282281281280279279280279280281282279280281282283283285282282282283282282283285283282281279281280279279280282281283281282280282282283283281282283283284283284283284284283283284284285285283283286286287288286290288286285286287286285290288281999999999999999999999999999999999999999999999999999999999999292292292290289292293293294295296296294295297297297295295293292292292293292291290290288290289290289289290291291292292293289292291290289290289290290291290291291291291292294293293293294295294293293293293294295295295296299299299299299300297299298301298298297297296297296296297296296296296296297297298297297295295295295296296297298294294292296296296297297298297298297297296298298298299299299298298298298297298296297296296296296296296296295295298297296297297298298298298299300300299299299298299299299299299300301301301302302303303303303304304302301303303303303303302303304303303304303304304303304303304303303304303303303304303303301300301301301302302302302302302302302303303303302303304304304304304304304304304304305304304305304304304303304304303304304303304305305304304306306306306306306306305306305305304304305304304304304304304304303303303303303303304304304304304305304305305304304303303303302302303303303303303303303303303302302301302302302302302302302302303303303303304304304304303303302302302302302302301301299300300301301301301301301301301301301300300300300300300300300299299299299299299298298298298298298299299298298298298297297297297296296296296296296296296296296296296296296296296296296296296295296296296296296296295295295295295295295295295295294294294293294294294294294294294294294294294294294295295295295294294295294294294294294294294294294295295295295295295296296295294294294295295294295295295295295294294296296297297298296295295294295296294294294295294295296296296296296295296295295295294294295295295295295296296295295295295295295294295294294294293294294295295294295295295295295295295295295294294294294294293293293292292292292292292292292292292292292292292292291291291290290290291291290291291290290289290289290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292291290291289289289289291290289291290289290286288283285286284284283284284285285286286286286285286288284287286286287287287287286285286283283281282282278280280280279279278278278278279280280279280280282283282281283282284285283282284285283281282281280280279279280280280280280281282283281284284282283282282283283284284284284285286286286286285286285287286287287289288287285287286285287288287287288999999999999999999999999999999999999999999999999999999999999292292291291290291293291294295296296296296296296294296295294292293293293292291290291290289291291290289291292292292289289290290290290290291290290289290290292291292292292293293293292295292294293298293294294295296298298299299299301300296296297299299298298297297297296296296297296295295295296297297298299298296295294296296297298298297294296296296296297297298297297297297297298298298297298298298297297297297297296296297296296296296296296296297296296297297297297298298298299299299299297298298299299298299299300300301301302302303303304304304304303302303303303303302302304304303303303303303304303304303303302303304304303303303303303302302302301302303302302302302302303303303303303303304305304305304304305304304304305305305305305304305305305304304304303304304305304305304305305305306305306305305305306305305304303303304304304305305304303303303303303303303303304304304304304305305305304304303302303303303303303303303303303303302302302302302303303302302302302303303303304304304304304305304304303303302302302302301301301300301301301301301301301301301301301301301301300299300300300299299300299299299298299299298299299299299298298298298298297297297297297297296296296296296296296296296296296296296296296296296296296295295296296295296295295294294294295295295295294295294294294294294295294295294294294294294294295295295295295294294294294294294294294294294294294294295295295295295295295295294294295295295294294295294295295295295295295296297296297295295295294294296295294295295295295295295295295295295295295295295295294295295295296296296296296295295295295295295295295294294294294294294295295295295295295295295295295295295294295294294294294294293293292292292291292292292292292292292292292292291291291291291291291291291291291289290289290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291291290291291292290291291287288289287291288283283283283283283285284285283283286285285285285286286286282284285288288285284285284284282281281280280280279279279278278279278278279281280279280280279279281281283282282283281282283283284283282281281281281280279280280280279283282281281282284284283282282284283285284284284285285285285285285284283283285287287287290289287286286286285289286289999999999999999999999999999999999999999999999999999999999999999292291291290291291292292293295299297297295295295295295294294292293293294292291290290291290292291290288291291289289290289289289290291290291291290290289291292292292292293293294292292294295297292296294295294295294298298300301300301296296298296297296298297297297296296296296296296296296296296297297296297296296294293295295297298296297295299297295297296296297297297296296296296297296297297297297297297297297297297296296296297296296296296295295296296296296297298297297298297299298298298297298298299299299299299300300302302303303304304304304305304304304304303302303304303304304305304303304303303302302302302301302304303303303303303303302302302302302303303302302303303303304304304304305306305306305304304304304305305304305305304304305305305305305304304304304304304305305305305306306306305306306307305304304304302303303304304305305304304303303303304304304304304304304304304304305304304304304303303303302303302302303303302303303302302302302303303303303302302303303303303304304304304304304303303302303302302302302302301301302301301301301302301300301301300300301301301300299300299299299299299299299299299299299299299298299299298298298298297297297297297296297297297297296296296296296296296296296296296296296296296296296296296296295296296295294294294295294294294295294294294294294294294294294294294294294294294295295295294295294294294294294294294294294294294294294294294294294295295295294295295294295294295294295295295295295295295296297297296296295295295295296295295295295295295295295295295295296296296295295296295295296296296296296296296295296295295295295294295295294294295295295294295295295295295295295295295295295294295294294295294293293293292292292292293292292293294292292293292292291292292291291290290291290290290291291291290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294292292292292292289289288288290290293291285284282283283284284285286286285286284285285284285287284286285285287285284284281281283282281280280281279279278277277276276278279280280280278278279279279279279283280281281279284284284283281281281281281282281282281280279282278281280280282283285284284283283282284283283284285284286285286284282282284284287288288290289289286287285285287293289999999999999999999999999999999999999999999999999999999999999290290290289290291292293293294298297297296296294295296296295294294293292293292291292292291291292292291288288289289290289289289289291290289290290292290290290291289291292291293293291291293293293291293293293293294295298298299300302299295295297295296296297296295296297295295295295295296296296296297296295295295296295292295296296296295296295296297297298296296296296296296297297296296296297297297296296296296295296297296296296296296296295296296295295297296296297297297297297297297297297297297296297297298297298299300300300302302303304304303304304304304304303303303304303303304304303305303304303303302302303302302302304304303303304304303303302302302303303303302302303303303304303305305305305305305305305305304303305305305305304305305306305305305305305304305304305304305305305305305305306305305306304305304304304303302302303303304304304304304303303303303303304303303304304304304304304304304303303303303303303303303303303303303303302302302302302302302303302303303303303303304304304304304303302303302302302302301302302301301302302300301301301301301301301302301301300300300300299299299299299299298299299298299299299299299299298298298298298297297297297297297297297297297296296296296296296296296296296296296296296296296296297297295297296296295295295295295295295295295295295295294295295295294294295295295295295295295295295295295295294294294294294294294294294294294294294294294294294295295295295295295295295294294295295295295295296296297297296296296295295295295297295294295294295295295295295295295295295296296296296296295295295296296296296296296296296295296296295295295295295295295295295295295296295295296296296296295297295295295294294294294293293292292292293293292292293293293293293293292292291291291292291290290291291291291292291290290290290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299296297293294291294291291291293294292289286286285284283283282283284285286286287286286285286287286286286287288287287285282281281282280280281280280279278278276276277280279281281278280280279279279278278278279278280283284282282282281281282282281282281282281282281281280280281281283283284284283283282287285284284285284284284283283281284284285285285286288289290285287288288285288290293999999999999999999999999999999999999999999999999999999999999290290291291291292292295294296296296296295296295295296296295294293293293293292292292293291291291292291288288289289288288288289289290290290290291292290290290291290290291291291292292294292293293291294292293296295297297298299299302300295299295295298298297297296296295295295294295295295295293295296296295295296295295294295295296295295295294296296296296297295295295296298297295296296296297296296296296296295295295296296296295295295295295295295295295296296296297297297297297297295296296296297296297298298298299299299299300302302302303304304303304304303303303302303303302304304303302303302304303303303303303302303303304303304304304303303302303302302302303303303303304304304304305305304304305305305305305304303304304305305304305306306306305305305304305304305305305305305305304305305305305305305305304304304303304303303303302303304304304304303303303304303304303303304303304304304304304304303303303303303303303303303303303303303303303302303302302303302303303303303303303303304304304303304302302302302303302302302302303303301302302301302302301302302301301302300300300300299299299299299299299299298299299299299299299299298298299298298298298297297297297297297297297297297296296296296296296297296296296296296297297297297296297297297297297296296296296295295295295295295295295295294294294294295295296295295295296296295295295296295295295295295295294294294294294294294294295294294294295294295295295295294294294294294294294294295295296295295295296297297295296295295294295294294294294295295295296295295295295296296296296296295295295296296296296296296296296296296296295295295295295295295296296296296296296296296296296297296295295295295295294294293293293293293293293293292293293293293293292293292292292291291291291291291291291291291292292291291290291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294297299300297295296297299296295293292290287286284283286287286287287288287286285286287287288288288285284287287283285282283283280280280279278277275275275277278278280278279281280280281279279278279279279280282283282282283283282283282281282281281282282282280281280283283282283283284284284283283284283284285284284283284283284286286285284285287288288288286286287282291288292292999999999999999999999999999999999999999999999999999999999289289289291291290291292291294296296295295295296295296296296295293293293293294293293293292290291290291293290289290289290289289289289290290290293293292290290290292291290289290290290292292292291291290290290291294297296296299300301301299294299296294295298296296296297296296295294295295295295296295296295293295295295295296295295295295295295296297296294296296295296295296296294295297296297297297298296296296296295296296296295295295295296295295295295295296296296296297297298298297296297296297297297297297297298298299299300300301302303303304303303304304304304303302302303303302301302302303304303302302302302303303303304302303303304303302303303303303303303303303304304304304304305305305305305305305305305305305304305305305305305305305305305305305306304305304305305305305305305304305305305305305305304304304304304303303304304304303303303303303303304303304303304304304304304304304304304304304304304303303303303303303303303303303302302302302303303302302303303303303303303303304303304303304303303302302302302303303302302303302302303302302302302302302302301301301301300300300300299299299300299299299299299299299299299299299299299299298298298298298298297297297297297297297297297297297296296296297296297297297297297297297297297297297297297297297296296296296296295295295295295295295295294294294295295296296296296296296295295295296296295295295295295295295295294294294294294294294294294294294294294294294294294294293293294294295295295295295295295296297296295295296295294294293293294294295295295295295295295295296296296296296296296295295295295296296296296296296296296295295296295295295296296296296296295296296296296296296296296296295295294294294293293293293293293293293293293293293293293292293292291291292292291291291291291291291291292292291292291292291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291293296295294293295295301299294290292287284284284284286286286287287287286287286286286286287286285284286286288286285284282283282281280278279276275278278280278278279278280281280281282281280279280280281281281282282281282284283283282282280281281282282282281283283283283282285285284283285283283283283284284283285284285284285286286285284284287288286287286288285999286284284290999999999999999999999999999999999999999999999999999999999289290291291292290290292293293294295295295295296296296296295294294294294294294294291292292290293290290292289290290290289289289290290291290290293293288289289291289290290289290290291292291293294291291292290290291294296296301300299300300296297297294296297296295297296296296296296295294295295296296295295295296298296296296296295294295295295296296295294295297296295295296295296295295296296296296297296297297296295295295295295295295296296295294295295295296295296296296297297296297296297296296296296296297297299299299299299300301302303304303303304304304304303302303303302301302302302303303303303302301302302303303303304304303304304302303302303302303303303304304304305305305305305305305306305306306306306306305304304305305305305306306306306306306306305304304305305305305305306306305305306305306305305305305305305304304303304304304304304303303303304303303304304304303304303303303304304304304304303303304303303303303303303302303302303303302303303303302302303303303303303303304304304304304304303303303302302303303302303303303303303303303302302303303303302301301301301301300300300300300300300299299299299299299299299299299299299299298298298298298298298298298297298297297297297297296297297297297297297297297297297297297297298297297297297297297296296296296295296295295295295295295295295295295296296296297297297296296296296296296296296296296296296296295295295294294294294294294294294294294293294294294294293294293293293294295294295294294295295295296295294295294294293293294294294294294294294294294294295295295295296296296296296295295295294294295296296295295294295295294295295295295295295295296296296296296296296296296295296295295294294294294293294293293293294294294293293293293293292292291292292292291291292291291291292292292292291292292292291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292292294294296298298291287288284284283286286287287287286286286286285286286285284285285284284285287289285285283281282280281279279281279276278278278278278281280280281282281280281280281280282281281281282282283283285284283283280281281281281282281281282283283283283284283283283284284285284284285285283284284285285286285284284284286287285285286287288287999999281285286291999999999999999999999999999999999999999999999999999999289290291292293292290291294294295294294295295296296296295295294295294294294294294292292291290291291293292291291291291290289291290291290289288292292289289289290291290289290289291291292292294292292293291290290291295295293300299298300297293295297297294296296295296295297296298297296296297297295294295294295297298297296295295294294294295295296295295295298297295294294296297295295296296296296296297296296296296295295295295295295295295295294294294295295297295296296296298298297296297297297296296296297297298297299299299300301301302303304303303303304305303303303303302301302302302303303303303303303302302303303303305306304304304304304303303303303303303304304305304305306306306305305306306306307306306307306306306306306306306306306307306306306306306306305305305305305305306306306305305306306306306305305305305305304304303304304304304303303303303303304304304304303303304303303303304303304304303303303303304303303303303303303303303303303303303303303302303303303303303303303304304304304304304304303303303302302302303303303303303303303303303302303303302302302301301301301301300300300300300300300300299300300299299299300299299299299299299299299298298298298298298298297297297296297297297297297297297297297297297297297297297297297297297297296297296296296295295295295295295295295295295295294296296296296297297297296296296296296296296296297296296296296295295295295294294294294294294294294293293294293294293292293294294294294294295294294295294294293294294294294293294293292293294294293294294294293294294295295295295295295296296295296295295294295295295295295294295295295295295295295295294295295295296296296296296296296295295295294295294294294293293294293293294294294294293293292293293292292292291291291291290291291291291292292292291291292291291291290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297296295298299300298291289287286284285286287289287288288288288287286286286286285285285286286286287286283283282282283280280280280282279281279281281281281283280281279281280281282280282281282282281281281283283283284284282282281280280281281281281281282282282283284283283283283284283285284284285283284284284286284287286284283285285286285284286285286286999999288287288290999999999999999999999999999999999999999999999999290291290291291290292291292293293293294295294295295295295294294294292293293293293294293292293290290293291292292292291291292291292291292292292291293293292292290290289291291292293293293293292291296296294294295291289289294293293296297298299299292293297293294297296295295296297297298298297296298297295295296295295295296298296296296295295295295295295295295294294298297300297296298301298300297297297295295296296295295296296294295295295296296295296296295295295296295295296296296297296297296296296297297296297298298297300300300300301301302303304303303304305305305304303304303302303303302303303304304304303303303304303303305304304304303304304304303303303304304304305305305307307306306305305306306306306307307306306306306306306307306306306306306306306306306306306305306305304305306306306306306306306306306306305305305305304303303303302304303303303303303304304304304304304304303303304303303303304304303303303303303303303303304304304304303303303304303303303303303303303303303303303304304304304304305304303303303303302302303303303303303303303303302302302303302302302302302301301301301300301300300300300299300300300299299300300300299300299299299299299299298298298298298298298298297297297297297296297297297297297297297297297297297298298298298297297297296296296295295295295295295295295295295295295294296296296296296297296296296297296296296296296296297296296296296296295295295295295294294294294293294294294294293293292293294295297295295294294294294294293295294295294294294293293293293293293294294294294294295295295295295295295295295295296295296296295295295295295295295295295294295294295294294295295295296295295295296296296295295295295294293294294293293293294293294293293293293292293292292292291291291291290291291291292290291292292292292292292291291291290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292295295295293288290289287287288286288286288289288288288288288287286286286285285284284285286284285285284283284284281280279278280278278278279280280281282280280280281280280281281281281282282281281282283283283283282281281280280280281280280282282282282282281282281282282284283283281283285283284284286283284284286285285285285287286286287285285285285999999999288289999999999999999999999999999999999999999999293289288289290290292290287291291292293293294294295295295295295295294294292293293293293293294293292292295293295291291292292291292291291291291292292292292291291291291291291292291294291294294295294296293296297295297299288291290295294292295295294297296296295295292295296298295296296297297297298296297298297297296296295297294297298296296296296296297296296296296295300300301299300298300294294302295296298296296295295296295295296295295296294296293296296295297297297295296296297294295296296296297297297297297298298298298297299300301300301301302302303304304304304305304304303303303303302302303303303303304305304305304305304304304304304305306304303304303304304304305305305305305305306307306307306307306306306306306307307306306305305306307306306306306307307307307307306306305305305306305305305306306306306306306306305305305304304304304305304303303302302303303304304304304304304304303303303303303303303303303303303303303303303303303303304304304303303303304303303303303303303303303303303303304303303303305305303303303303303303303303303303303303303303303303303303303302302302302302301301301301300300300301300300300299299299299299299300300299299299299299299299299298298298298298298298298297297298297297297297297297297298297297298298298298298298298298297297297297296296295295296296295295295295295295295294296296296296296296296296296296296296296296296296297296296297296296296296295295294294294294294294294294294294293293293293294295294294293293293294294294294294294295295294293293293293292293293293293294293294294293294295295295295295295295295295295295295295295295295295295294294295294294294294294294294294294295295295295296295295295295294294294294294294293293294294293294293293293293293293292292292292292291291291291291291292291291291291292292292292291291291290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293291290291290291291289287288287289287287288289288287288286286286285285285285285286284282283283283284281281280280280280279278277277278279281281281281281280282282281281281282281282282282281281282282282283282282282281281280281281281281282281281281282283283283283280283283282282282283281283283286283284286285286287287285287285284286285286284281999999999999999999999999999999999999999999999999999999286290289288288290290290290293292291292293293294294295294295295295295294292292292293294294293292293293291294294293292293291292293292292292292292292292291291292293292291292292292292294293294294293293294296297297295297295290289293291292293295295295295296297291291293294295297296295298297297298299296297297297297297296295296294296297296296297296296298297297297296294299301297296295294294295301302295296295294295295296296294296295295295295295295295296296294294297295294295296296294295296296296296297296297297299298299299300299299300300301302303303303304304305305305304304303303303304302304304303303303304305304303305305304304304304305305306305305304303303304305305305304305306305306307307307307306306306305306306307308306306305306306307306307306306306307307306307306306306305306306305306306307306306305305306305305305305305304304304305304303302302302303303304303303304304303303303303303303303303303303303303304304303303303304303303304304304304303303303303303303303303303303303303303304304304303304303304303303303303303303303303303303303303303304303303303303303302302302302302302302301302301301300300300300300300299300299299299300300300299299299299299299299299298298298298298298298298297297298297297297297297298298298298298298298298298298298298298297297297297296296296296296296296296296295295294295296296295295295296296296296297297296296296296296296298297297297296296296295295295294295294293293293293293293293292293293295293296295295295294293293296295294294295295294293293293292292293293292292292292294293293294295295295295295295294295295295295294295295295296295295295294294294294294294294294294294294294295295295295295296295295295295295294294294294294294294294294293292292292292292292292292292292292291291290290291291291291291291292291291291291292292291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297293292291291291290289293290290290288287287289289287288287287286286286285284285285284283283283284282283281280280280280279277278277278279280281281281280280280281281281281281283283283284283283283282282282282282283283283283282281282281281282281281281282282284284282282282284284283281280282282283283286285284284286288287285286284283283283283283282286999999999999999999999999999999999999999999999999288289290289289289292292288290292291290291292293294293293292296295294294294294294294293293293292292292292292292292290292293293292292292292292292292292290291289291292292292291293294294294294293294295297293296296297297292290288289292296289290293294295294294296298291294294295297297298298299298298298296297296296297297296295294294294297297297297296296297298297297296295291294297296291295295294292294297295294294295295297297294296297296295297293294294294296294294296296297296296296295295295296295297298297298299299299298298299299299300301302302303303303303304304304304306303303303303304303302302303303304303305305305307306304304305306306306306306306304304303305305306306305304305305305306306306306306306305305306306306307307306306307306307307307306306307306307307307306306306305305305306306306305306305305305305305305305305304304303303303303303303303303303303303303303302302303303303302303303303303303303303304304304303304303304304304305305304304304303303303303303303303303303303303303302304303303303303303303303303303303303303303303303304303303303303303303303303302301302302302302302301301301301300300300300300300300299299299299299299300299299299299299299298298298298298297297297297297297297297296297297297298298299299298298299298298298298298297297297297297296296296296296296296296296295295295295295295295295294294295295296296296296295296296296296296297297297297296296296296295295294293293293293293293293293293294293292293294295295294294294295295295295294294294294294293293292292292293293293292292293292293293295294294295295295295295295295295294294296295296296295295294294294294294294294294294294294294294295295295295295296295295295295295294294294294294294294294294294293293293292292292292292292291292292292291290291291291291291291291291291291292292291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294294294293291292292291291292292289289289290289288288287286286286286288285284284283283283282282282281280280280279278278277277278279280280280281280280281281281281281282283284284283283283283282282282281282283284284283283281282281281280280281282281282284283283282283283283282281281282282283284286287287286285284285284283283283282284284284284283999999999999999999999999999999999999999999999999999289291290292290288292293293293292289288290289292292293295296293293294294294294292293292292292292292293293293292293291291292292292292292292292292291291290291292293292292291292293294294294294294294291293296297296299299292293295290295294294292292291291293294292293295294296296295296296298299298297295297297296297296296295294295294296298297297296295297298298298297297293293292292294294294292292294294297295294295297295297296296296296296297294295294297295294295295294296296296295295295294296298297298297298297298298299298299300300300301302302302302303302302304303303303302303302303303302303301301301303303304304304304305303305305304305306305306305304304304305305306306304304305305305305306306306306305306305306306306307306306305306306306307307307307306308306307306306308305305305306306306305306305305305305305305305304304303304303303303305304303303303303303303302303303303303302302302302302302303303303303303303303304304303303304305304304304304303303303303302302302302302302302301303302303302303303303303303303302303303303303303303303303303302302303303303303303303303302302301301301301301301300300300300300300299299299300299299299299299298299299298298298298298297298297297297297297297297297297297296297298298298299298298298299299297297298298297298297297297297297297296296297296296296296295295295295295295295295295295295296296296295295296296297297297296297297297295296296296295295295294293292293293293293293293293294292292293294293293293293295295294294294294294293293292292292292293293293293293293293293294294294294295295295295295295295295295295295295296296295295294294294294294294294294294294294294294294295295295295295295296295295295295294294294294294294294294294294294293293293293293292292292292292292292291290291291291292291291291290291292291291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297295296294295289293292293291290288289289289289289287287287286287287286284284284283283282282281281280280279279278278278278278278279279280280280281281281281281281282282283282283282282282282281281282282282283283283282282281279280281281281281282283283283283283282282281281281282282283284286287288288286285283284284283283283283285285286285282999999999999999999999999999999999999999999999999999291292293290290292292284286294289289290290291292292294293294293294294294292293294293293292292293293294294294293293292292291291293292292292291291291293292291292293292292291292293293292292293294293294293294294297295293293292295294294293296292292291293293294295296294293294295296295296296297296297295295296296296295295294296297296296296295295295295295297297297296291291295292293292291289296299295295294292295295295295293296297296297296295294295294295296295294295294295294295294295296293295297298298297297298298299299298299299300300300300302302303303302302302302303302302302303303303302301302302303303303303304304304304304305305304305305305305304304303303304306306305305305305305305305305305305305305305306307305306306306306305305305306306306305305304305305305306306307307305305306305305305305305305305305304304303304303303302302303303303303303302303303303303303302301302302302302302302301302303303303304304304303303303303304304304304304304303303303303302302302302302302302302302302302302302302302302303303303303303302303303303303303303303302302302302302302302303302302302301301301301301301301300300299299300300299298298299299299299299298298299298298298297297297297297297297296297296297297297297298298298298298298298298298300299298297297297297297297297297297297297296297296296296296296296296295295295295294295296296295295296295295296296296296296297296296297296295296296295295295294294293293294294293294293293294294294294293294293294295296295295295294294294294293292293293292293293293293293294293293293294294294294294295295295295295295296296295294294295295295294294294294294294294294294294294294294294294295295295296296295296295295295294294294294294294294294294294294294293293293292293292292292292292292292291290291291291292291290290290290290290291291291290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301299300297293293290289289290290289289289289287288287287287287287285284284285283283283282281281281280279279279279278277277278279278279279280281281281281281282281281281281281281281280281281281282282282282282282281282281280280281282282282282283283284283284283281281282282282283283283284286287288286286285284284284283283284285285283284285285999999999999999999999999999999999999999999999999291291290290290289287288288290291289290288290292293293293295293292293294294293294294293293293293293293293293295293293292292291291291291292291292291292292293292293293294292292291292292291292293294295295293296293294296291294291292293293293295293291291293294294294299293294294294295296297296296295296295295295296295296296294297297296295295295295296296298298298297297297298294292295292291291296295295296297298298295296297296297296296296294295296295295295295295296295295293292294295296295296297297297298298297298298299300299299298299299300301302301302302302302302304303303302302303303303302302302302303303302303303303304305304305305304305304304304304304304304304305305304304305305305304304305304304305304306306305307305306306306306306305305304305305304305304305305305305305305305305305305305304304304304305304304304304304304303302303303304303302303302303303302302302302303303302302301301301302302303304303304303304304303303303303303304304304304304303303302302303302302302302302303303302302302302302302302302302303302302303303303303303303303302302302302301302302302302302302302302301301301301301301301300299299300299299299298298298298298298298298298298298298297297297297297297297297296297296297298298297298298298298298298298298298298298297297297297297297297297297297297296296296296297297296296295295295295296295295295296296296296296295295296296296296297297297297296295295296296295295294294293293294294294294294294294295295294295294294294295295295295295294295293294293293292292293293293293294294294293294294294294294293294294295295295296295295295295295294294294294294295293293294293294294293293294293293293294294294295295295295295295295295294294294294294294293294294294294294294293293293292292292291292292292291291291291291291291291290290290289290290291291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298298296291291290291291291290289289288288289288288287287286285285284284283282282281281281281279279279278277278278277278278279279279279280281281281282281280280280280281280280280280280280282282282282282281281280281281281281282281282283283284284283282283282283282283284283283283286287287287287285286285284284284285283284285283286286282999999999999999999999999999999999999999999999999291291290289290290289289290290290291288291292293293293295292292293295294294294294294293293294293293293294293293294293292291292292291291294291292292292292292293292293292292292292292291292293291293292293294296296295294293292292293293293294293296291292292292293293291294293294294296297297296296296296295296295295295296295295296297296295295296294295295297298298298299298299294294294292291291294295293295297297296294296295295298298297296297296296295295295295296295294294295294294294295296297297298297298297298299299298299299298298298300300301301301302302301302303303303303303303303303303303302302303303304303303303303303305305304305303303304304304305304304305304306305305305305305305304304304304305304306306306306306306306306307306306306305305305304305305306305306305305305305305305305305305305305304304304304304304304304303303302302302302302302302303303302302301302301302302302302301302302302303303304304304304304305305305305303304304304304304304303303303303303303303303302302302303302302302303302303303303303303303302302303303303303303302302302302302301302302302302302302302302302302301301301301300300300299299299299299299298298298298298298298298298297297297297298297297297297297297298298298298298298298299298297298298298299299299298298297297297296297296297296296296296296296296296297296296296296295296296296296296296296296296296295295296296297297296297297297296295296295295295295294295293294294294294294294294295295295295295295294294295295294295294294294295294293292292292292293292293294294294294293293294294294294293294294294294294294294294294294293294294294294293293292293294294294293293294293293293293293294295295295295295294295295295295294294294294293294293294293294293293293293293293293292292292292291291291291291291292291291289289290290290290291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297290291291290289291291291290288289289289288288286285284284284284283283282281281281281281280279278277278278278278278279279278279280280280281280280280280280280280279279279278279279280281282282282281281280280280281281281282282282282283282282282282283283283284285285283282284286287286286286286286285284285285285286285285285286287284999999999999999999999999999999999999999999999285287290290290288290290289290289290289290290292292294292294292294293294294294294294294293293293293294294293293293293292292292292292293293293293293292292292292292294292293293292292292291292297292291293294295298294294294292293293291294294294293295295291293291291293292294294293292296296297295296296296295296296296295296295295296296296295295296295296297298298298299299301301298297298295294295295295296297295294295295294296296297296297296296296295296295294295296296295295295295296296295297297297297297298298297299299299299297299300299300301300300300301303303303302303303303303303302304303303302303304304304304304304304304303304304303304304304304305305305304304305305304305305306305306305305305304305306306306307306306306306307307306305305305306304304304306305304305305305305305305305305305305305304305304304304304304303303303303303303303302302302302302303302302301301301303302301302303302302302304304304305304304305305306306305305304305305304304304304304304304304304303303303303303303303303302303302303303303303304303303303303303303302302302302302302302301301301301302303302302302302302302302301301300300299299299299299299298298299299298297297297297297297298298297298297298297298298298298298298298298298299298298298298298298299298298298297297297297297297296296296297297296296296296297297296296296296295296297296297297296296296296296295296296297296297298297296296295295295295295295295295295295293294294294294294295295295294295294294294294294294294294294294294294294293292292293293293292293293294294294293293293295295294294294295295294293294294294294294294294294294294294294293294294294294293293293293293293293294295295295295295295295295295295295294294294294293294294293293293294293293292293294292292292293292291291291290290291292291290291291290289290290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292289292288289288289290289288288289290289287286284284284285286284283282282281281280280279279279279279279278278278278279279280280280280281281280280280280280280279280280279279280280281281281281282281281280280280280281282281282283281281281282282283283283284284284284284285284285285286285285285285284284285285284286286286286288287286999999999999999999999999999999999999999999289290289291290290290289289290288289291291290292294293293293291292293295295294294293294293294294293294294292292292293293293293293292292293294293292293293293293293294293293292292293291291292296293293294295295297293294292291292291289292295295294294294289291290291292292293290292293295297297296296296297295296297296296296295293295296295295297294294296295299298298300301298301300298295296293296297296296296296295295294295295295296296296296296296295294294294293295295295294296295295296296293297297297297297297298298298299298298298298299298299300300299300302302302302303303303303303303303303302303303303304304304304305305305304302304304304304305304305305304303304304305305305304305304305305305305306306306306306307306306306306306305304306305306305305305303304305305305306305305305305305305305305305304304303303304303303303303303302302302302302302302302302302302303301301301302300301303303302302302303302303304303305304304304305304304304304304304304303304304303304304304304304303303303303303303303302302303303303303303303303302303302302302302302302301301301301301301301302302302302302301301301301301301300300300299298299298298298297298299298297297297295296297297297298298298297298297298298298298297298298298299298298298298298298298298298298297297297297297297297296296297297297296296296297296296296296297296296296297296297296296296296296296296296296296296296296296296295295295295295295295296295295293294294294294294295295295295294293294294294294294294294295295295295295294294293294293293294294293294294295294295294296295294294294295294294293294294294294294295295295294294294294293293294294293293294293293293293294295295295295295294294295295295295295294294293294293293293293293293293293293293293292293293292293292292292292292291292292291290290290290289290290290290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294290287289288287287289289289289290289290288287285285284284284284283283282281281280279278279278279279279279278278278278279280280280280280281280280280281281281281281281281280281280281281281282282281281280280279280281282281281281281281281282283283284283283283283283283284286284285285284284284284284283284284284284285285285284286289288999999999999999999999999999999999999999999999287288289289290290291290289290291291291292291289290291291292292293294293295294293294293293293293293293292292292292293293293293294292294293292293293294295295295291291292291291290291290293296294292292294294295294293293291290290289292292293292292292290290290290291293292289292293296296296296296296296296296296296295295294293294294295296295294294293295295295299300301298300299295294296295296295295296296296295296294295295297296296297299295295295294295294294294294293295295294294295296298298297297297297297297297299299299298298298299298299299300299300301301302302303302304303303303303302302302304302304304303304305305305304303304304303304304304304306305304303304305304304304303304304304304304305306304306305305305306306305305303302999304305304305303303304304305305305305305305305305304304304304304304303303303303303302302302302301301302302302302302302302301301301301301301302301303301303303303303302302301301303303303304303303304303303304303304304304304303304304304304304303302303303303303303303303304304303303303304303302302303302302302303302301301301300301301301301301302302302302301302301301301300299299298298299298298298298298298298297297296296296297297298298298298298298298297298298299299298298298299299298298298298298298298298298297297297297298297296296296297297297296296296297296297295295297296296296296297296296297296296296297296295296297297297297297296295295295296295295295295296295295295295295294295295295294295295294294294294294295294295296296295295295294295294294294294294294294294295294294294294294293294293294294294294293294294295294294295295295294295294293293293293293293293293293293293293294295294294295294295295295295295295294294293294294294293294293293293293293293293293293293293292293293292291292292292292292291291290290290290292291291290291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291289288288286288289289289289290290289288287286285285284284283282282282281280279279278278278277278278278278278278278280280280281281281281280280280281281281282282282282282281281281281281281280281280281280281281281282282282282283282282283282283283283283282284283284284284283284283284284284284285283284284285285286285286286287288285285999999999999999999999999999999999999999999289290289289288290291290290291291291292289290290292289291292293294294294293294294294294294294293293293293293292292293293294293293294294293294293295296297298296290291292291289290288288291295292291292294294295293291291293291291291291290291294292291288289291290291293293293293296296295296296297296296296295298296295295294294294294294295295293293294294296297298300300299300297295295297297295294295295295295295295295295295296297298300297295293295294293295294295295294295294295294294295296296297297297297296297298297299299298298298299300301300299299300300300301301302303302303303303303302303303302303303304303304304305305304303303305304304306304305306304304304303304303303302303303303304304303304305304305304304305305305305305304301302303303303302302303303303304305304305305305304304305305303304304304302303303303302302302302302301301301301301302302302302302301301300301302301302301301302303302301302301301302303302302304302302302302303303303303303304304304303304305304304304303304303303303303303304304303304304304304303303303303302303302302302301302301301301301301301301302301302301301301301301300300300299299299298298299298298298298298297297297297297297298298298298298298298297298299299299299299298299299299299299298298298298299298298298297297297297297297296296297297297296296297297297297296295296296296296296296296296296297297297296296296296297297297297297296296295295295295295295295295295295295295295294295295294295295294294295294294294294294295295295295295294294295294294294294294294294294294295295295294295295294293294294294294294294294295294294295295295295294295295294293293293294293293293293293294294294294294295295295294294295294294294294293293293294293293293293293293293293292293292293293293293292292292292292291291291290290291292291292292292291292291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290289289289287289290290289289290289289287286285284284284283282282281281280280279279278277277277277278277278278278279280281281281282281280280281281282281282281282281281281281281281281281281280280280280281281281282282283282282282283283283283283283283282283284283283283282283283283283283284283284283283284285287287288287285286285285283999999999999999999999999999999999999999999999290289999999291291290290289292291291289290291291290292293293294293295294292294295294295293293293293293293293293294294294295294293294294295296298298293296292292292292290290290289292295292292290292293293294294291292294292292292293294291291292291290289290291292292292293293295295295296295296297296296297298297296295295294295294294295294294294295295296298298298299301301299297297297296299295296296297296295297297296296295297294296296294294295293293295294296296294295294295295296296296296297297298297297297298297298299299299298299299300299299299299301302302300300301302302303302304303302303302302303304303304304304306304304305303302304305305305305303303304302304303302303303303304304304304304304305305305305305305306306305305302305303303303303303303304304304304304305305305305304304304304304304303303303303303303302302301302301301302301301301303303302302301302301302302302301303301301302302301301301302302302302304302302302302302302302302303304303303304303305304304304304304304304304303304304303304304304304304304304304303303303303303302302302302302302301301301300301301301301301301301301301301300300300299299299298299298299298298298298297297297297298297298298298299298298298299299299299299299299300300300299299299299298298298298298298297297297297297297296296297296296296296297297297297295296296296296296296296296296296296296296296296296296297297297297297296295295294294294295295295295295295295295295294294295293294295295295295295295294295294295295295295295294294295294295295295295295295295295295296295294295295294295294294295294294294295295295295294295295294294294294294293294293294294294293292293293294294294294294294294294294294294294294293292293293293293293293293293292292293292292292292292293292292292292292293291291291290290291291291292292292292292291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288287288288289290290290289290288288287286285284283282281281281280280279279279278277277277277277277277278278278280280280281281281280280281281282281281282281281281281282282282282281282282281281280281281282282282283284282283283283284283283283282282282282283283283282282282283283284283283283283284283285285286286286285284287286285283999999999999999999999999999999999999999999999290293290999289291289289289290289290289289289289291292293293294294294293295295295293293293292292293293290293293294294294294294292294294293295292293292293292290293292290290290290290289291290291293295295295290293293292292293291294291293289290289290289290291292291293293294294294295296295296297297297296297296295295294294293291293294294294295297296296297298299300300300300298297296298296296297297298297296297297296296296298297295297296297295294295295297296295295295295295295297296296297297297297297298298300298300299298298297298298299300299300300301300301301299300301301301302303303303303303304303304304303304304304302303306303303303304306304304305304304305304303302303303302303304304304304304303305306306305305305305305304305305304304304304304304303304305304304305305305305305305304304304304303303303303302302301302302301301302302302301303302302302302302302301302302302301301301301303301301302302302301304303303301302303303303302303303301303303304304303304304304304304304304305304304304304304304304305305304304304303304303303303303302302302302302302301301301301300300301301300301301301300301301300300300300299299299298298299298298297297298297297297298298298299299298299300299299299299299299300300300299299300299299298298298298298298297297297297297297296295296296296296296296298297296296295295296296296296296296296296297297297296296297297297296297296297296295295294294295295296296295295295295296296296295295294295296295296295295295295295295295295296295294294294294295295295295295295295295295295295295294293294294294294295295294293294294295294295295294294295295294294294293294294294294294293292292293294294294294294294294294294294294294294293293293293293293293293293293293292292292291293292292292292292292291292292292291291291291291290291291291292292291292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285286286288288289289291290289289288287286285284284283282281281280280279279278278277276276276276276278279279279280280280281282281281281281281281281281281281281281281281282281281282281282282281281282282282283283283283283283282283283283282283283283283284283283284283284284283283283283284284284283285285284285286285284285285284286286282282281999999286287289999999999999999999999999999292290999287289287287288289288289289289290292292293292294294295295296295294295295291294291291292291293293293294293293293293292294294293294293293290291291290291290289289289291293293290291291292293296291294293291294294295294294291292292291289290289289290290292293295294294294295295296296295297297297296296295293294293291292294294294294296296296297297298299299300300299298297297296296295295297297298298297297296297297298298295296297294294295297296294296295294295295295295295296296297297297296298298298298298298300299298297298298299299299299300300300300301300300301301301301302302303303303303304304301302304303302304304304304303301304304302302303304304302304302302302302303302303303304303303303305303305305305305305305304304304304304304305304304304304304303304305305305304304304304304304303303302302302302302302302302301302301302302302302302302302302302302302302302301301301301300301300300302301301303303303303302302303302303303303303303303303305304304304304304304304304304304304304304305305305304305304305303304304304304303303303302303303303302301301301301301300300301301301301301301301301300300299300299299299299299299298298298297298298298298298298298298299299299300300300301300300300300300300300300299300299299298298298298298297297296297297297296297296296296296296296296298297296296295296296295296296296296297297296297297297297297296297297296296296295295295294295295295296296296296296296296296296296296294296296296296295295294294294295295296295295295294295295295294295295295295295295296295294294293294294294293295295295294294294294294294294294294294295295296295295294294294294294293293293293293294294294294294294294294294294294294294293293293293293293293293293293293293292292292293293292292292292292291291291292292291291291290291291291291291291291292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288289290290290290290289289288287286285284283282281280280279279279278278277276275276276275277278279279280281281281281281282281282282282282282281281281280281281282281282282282282282283282282283282283283282282283283282282282282282281281283283283284283283283283284284284284283284285286285285285284283283285285284284282283284283283282282999999999286287289999999999999999999999287289291999286288287287288287288288289289291292291293292293294294294294294295296292292291291291293293293293293295294293294293294293298295296293293293291290291290291290291292292294293289290291292290292289292297296299295296295293292293293291290290291289290292292293295293295295294296296296295297296296296296295294294294292291292292293294295296297298298298299300302300298297297298296295295295296298296297299298297298297297298295295295294294296296296295295297295294294294294295295296296296296297297297297297297297298300298298299298299299299299299300299300301301301301301301302302302303302304302303303304303304302302303303304303302303303304302304303305304304303303302303302301303302302302302302301303304304304304305305304304304304303303303304304303302304304304304304305304304304304304304303304303303302302302302302302302301302301302302302301301303303302302302302301302301301301301300300301301302301301303303303304303302303304303302302302302302303305304305303303304303303304304304304305305306304304304304305305304305305304304304303303303303303303302302301302301301301301301302301302301301301302301300300299300299299299299299299298299298299299299298298298298298299298298299299300299298300300300299300301301299300300299299299298298297297297297297297298297297297297297297296297297297297296296296296296295295296296296296297297297297297297297297297296296297296296295295294295295295296297297297297296296297296297296296296296296296296295295294295295296296295296295295296296295294295296295295295295294295294294294294294294294294295295295295295295295295295296296294294296295296295295295294294294294293293294293294294294294294294294294293294294294294294293293293293293293293293293293293293293293292292292292293293292292292292291291292290290290290291291291291291291292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289289290290290288289288288286286285284283281281280279279279279279278277276275277276276277277277278280281281281281282281282282283283282282282281282281281281281282282282282282283283283282282283283283282283283281282282282282282281282282283283283284284283284284285285284285285286286285284283284284284283285285285284285284284284283284284283999999284286287287999999999999999999286290291288287286287287288287289289289290292293292291293293294293293294295295292292291292293293293294293294294295294294294294294293292290292293293291291291289290291290291290291292293288290291291291292290295294296298294298296295295295294290290290291289290292292293294294296295295296296296295297296296296297296294292293291293292293293294296295294298299298300301301298296298297297296294297297297296296297296297298298297297297295295295295294294295295295295297295295294294294294295296297297297296296296297297297297298298298298299299300299298299299299299300301301301301302300302302302303302303304303302302304302303302303304302302303303303302303303303302300303301302301301300300300301300301301300303304303303304305305305304305304304304303304304304304303304305303303303302303304304303304304303303303303302302301302302301302302301302302301301301302302303302302302302301302303302302301300300301301301301301303303301303303302302303303303303303303304303304304304303303303303303304304304304305305305305305305305305305305305305304304304303303303303303303302302301301301301300300300301301301301301301301301301300300300299299299299299299299299298299298297298298298299298298298298299300300299299300299300300300301300299300300299299299299299298297297297297298297297296297297297296296298298297297296296296296296296295295296296296296297297297297297297297297297297297296296296295295295295296296297297297297297297297297296297297297297296297296296295296296297296295295295295296295295295295295296296295295294294295295294295296294295295296296295295295296296296296296296296294294295296295295294294295294294294294293294294294294294294294294294293293294293294294293293293293293293292292293292293293292292293292291291292292292292292293291291291291291290290291290291291291291291292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285287287289288289287287287286285285284282281281280279279279279278278277276275275276276276276277277280281281281282280281282282283283283282282282282282281281281282282283283283283283283283284283284284283283282282283283283283282281283283282284284285285284284284285286285285285285286285285285282283283284284284284285285285285285285285284284283999999284286288999999999999999999999283287287286286287287286288289289289291290293292292291291293293295295295295295294292292293293294293295297295293293293292294293291290291291292292294293290293290292291293293290293291289289292291291292293293297295299294289296296294294292293290290289292290291292293292293294295297296296296295294296295295295296296294293291292293292291292295295297298298299301299301302300299296298298299297298299297297296296296297296296296297295294294294294296293294295295295296295295294295294294295295297296296296295296297296297298298298297298298299299299298299300299300300300301300302301302301302303302301301304304302302303303302303304304304303301303302303303303303302300302301302301301301300300300299300301299302303303303304304304304305304304303303304304304304304304304304303303303303303303303303303303303302302302302301301301301301301302302302301301301301302302302303303303303301302302301301301300300301301301301301301302302302301302302303304304302304303304302304304305304304304304303304304305305305305306305305305305306306305305305305304304304304303303303303303302302301301301301300300301301301302301301301301301300300300300299299299299300299299299299298298298298299298298298298299299300300300299300300300300299301300300299299299298299299299298298298297297298298298297297297297297297297297298297297296296296296296296295296296296296297297297297297297297297298297296297296296296296296296296297297297297297297297297297297297297297297296296296296296297297297297296296296296295295295295295295295295295294295294294294295294295294294296296296295295295295295296296295296296295295295295294294294294294294295294294294294293294294294294294294293293293294293293293293293293293293293292292292292292292292292292291291292292291292293292292291291291291291290290291290291291290291292291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286289289288287288287286285285285284282281280280279278279278277276275275275275275275277277277278278280281281281281280281282283283283283283282282282281281281282282283283283283283283284284284285283284283283282284283283283283282283284283284284284283284284285285285286286285286286287285285283282283283285284285286285285286286286285283283283284283284284286999999999999999999999999999287287288287287288287288288289289291292292291291290292293293294295296294294293294294294295294295295295294293294293293293291291291291292292293292292293293292293292291294291289292293296290289291294292292296297293296293294294293291290290290289290291291291292291292293294295297296297296295295295295294295295294293294295294294293294294293296298300300300296297301304302301297298299299301300297297296296295297296295294295296296294295295295294295294294295295295295294295295294295295297296296296296296296298297298298297297298298298299299298297299300300300300301301301301300301301303303302303301303304302302302303303303305303304301304303303303303302302302301302301301301300300301301300299300301300302302302302303304304304305304305304304304304303304304304304303303303303303303303303303303302302302302302302302302301301301301301302302302300300300302302302302302303304302302302300299299300300300301301302302301302301301301302302303304303303304303304304305306305306304304304304304304305305305305306306306306306306306305305306305305305305304303303303303302302302301301301301301300301301302301301301301301301301301301300300300299300300300300299300298298298298299298299299298299299301301300300300300299300301301300299299299299299298299299299298298297298298297298298298297297297297297297297297297296297296295295295296296296296297297297297297297297298297298298297297297297296295295297297297297297297297297297298296297297297298297297298296296296298298297297297296296296297296294295295295295295295295295295295295295294295294295295296296295295295296296296296296296296296295294294294294294294294294294294294294294294294294295294294293293293293293292293293293293293293293292292292292292292292292291291291291291291291291291291291292291291291291291291291291291291290291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288289288288285285285284284282281280279278278278277277276274274274274274274276276276277277279280281281280279279280282283283283283283282282282282282282283283283284284284283284284284284284284284283283283283283284283283283284284284284282284284285285286286285285287287286287286284284283284284284284284285285285285286286285284282282282283285284286999999999999999999999999999999288290289290290290289999999999999290290292291292292294293295294293293292292294295295296296295295295295294295294296292292293292292292293293291293293292293294292291292292290289286293293289290291292291294293295291289292293293292290290290290290291291291290292291292294294295296295295295294294294294294295296295294294295295292293294293298298300301300301296298299303302300298300300302300299296298296296297296296295295295296296294295295295294295295295295296296295295295296295295296295296297296296296296295296298297297296297298299300299299296299300300300301301301300301301301302303303302302302302303302303304304302302302304302303304303303303303303303302302301301301300301299300300300300300301301302302302302302303302304304304304304304304304304304304303303303303303303303303303303303303302302302302301302301301301301301301301302301302301301301301302301303303304304304302302301299299299300300300301301302301302301301302302302302302302302303302304304305304305305305305304304304304305305305305306306306306306306306306306306306305305305304304303303303303302302301301301302300301301301302302301301301301301300300300300300300300300300300300299298298298297299299299298298299298298300298299299300300300300299299300299299298299299299299298299298298298298297297298298298298297298297297297296296297297296296295295295295296296296296297297297297297297297297297298297297296296297296296296296297297297297297297297297297297297298297297297298298297297296297298297298296296296295295294295295295295295294295294295294294296295295294295294295295295295296296295296296296295295295295295295294294295294294294295294294294294294294294294294294294294293293293293293293293292293293293293292292292292292292292292292291291291291291291291291292292291291291291292291291291291291291292293292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288289289288287286285284284282281280279279278278277276275274274274274275276276278277277278280280281280279278279280282283283283282283283282282283283283283283283283284284283284284283284284284283284283282283283283283283283283284284285284283284284285286286286285286287287286285284285285284284284284285285285285285286285284283282281281283285286999999999999999999999999999999999288289290288289290999999999999999999290291291291292293293293293293291291293294295295297297295293296295295296296297293293292291290291290292293294292291292293289290293293291289288289292289289291291291291291296288290290288290289288289289289290291292293290290293293293294295294294293296295295293293295294295295294295294294293292292292298298293298297297295296299297298299296296296300296297296295295296295296295295294296295297294295295295294294295296296296295296296296296296295295295296295296297297296297297298297297295296297298298299298299299299300300300300300300300301301302303303303303303304303302305304304299302300302302302303303304303303304303303302301301301301301300299300301300301302302301301302302302304301304304304304304304304304305304304303304303303303303303303303303303302302302301302301301301301301301301301301301301302301300300300301301304302303305304302300300299299299300300301302302301301302301301301301302302302302302303303303304306305304305305305304305304305305305306306306306306306306306306306306305305305305304305304304304303303303301301301301301300301300301301302301301301301301301301300300300299300299300300300299299298298298297297298298299299298298298298298299299300299299299299298299298298298298298299298298298298298298298297298299298298297297297297297296297297296296295295295295295295295295296297296297296296296297297297297297297297296297296296296296297296296297297298297297297297297297297298297297295295295296297297296297296296295295295295295295295295295295295294294294295295295295297296296295296296295296295296295296296296296295295295295295295295294295295295295295295295295295294294294295294294294293293293294294294293293293293293292292292292292293292292291292292291292291291291291291292291291291291291291291290291291292293293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288289289289288286284284283282281280279278278278277277275275275274276277277277277277278280280280281279278278279280282283283283283282283283283283283283283284284283283283283283284283284283283283283283284283283284283284283282284285285286285285285283285286287285285285287285285284285284285284284284285285285285285284284282282281280281282285286999999999999999999999999999999999999284288288289999999999999999999999999291290291292292291293294293292291292295295296296296293293294295295294296296293291291290291291290291294292291291294292290293291291288287293291290289289291290289291292294288288288289290288288289288288291290288293289292293292292293292293295295295295295293293293294294295295294294293292291291292297293294294298299298299297296299298296296295294294296298295295295295296295295295295295295294294294294294294294295295296296296296296296295295295296296296297297296295296298297297297297297298297297298297299298299299299300299300300300301301303303304304303302302302301302303301301301302301301300302303303304304303303303302302301301301300301300299302298301302301301302302302302302303304304304303303303304304304305304304303303303303303303303303303303303301302301301301301301301301301300301300300300301300300302301302301302301301302302301300300300299299299300300301301301300300301300300301302302301302302303303303304303304305305305306305304304304305305305306306306306306306306306306305305305305305305305304304303303303303302301301301300300301300301302301302302301301301301301300301300300300299300300300299299299298299299299299298298298298298297298298299298298298298298298298298297297297297298298298298298298298297297297298298298297297297298298298296296297296295295295295295295295294295296297297297296296296297298298297297297297296297297297296297297297297297298298298298298298298298298298298298297296296295296296295297296296295295296296295296295296295295296296296294295296296297295296296296296297296296296296296296296296296296295295295295295295295295295295295295295295295295294294294295294294294294294294294294294293294293293292292292292292292292292292291292291291291291290291292290292291291290290290290290290291291292292293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285287290290289287286284283283281280279279278277277276276276276276277277277277276278278279280280281279279279278279280282283284283283283284284283284283284284284284284283283284284284284284283283283283284284284283284284283284284283284285285285283284284286286286286287287287286286285285284285285285285286285285285285284284282281280280280282283285999999999999999999999999999999999999999999291289999999999999999999999999999290288999290295295293291292293999999296296296295293294294294294293294295292291292291290290291297295290292292292291293294292289291291290290289288289290289288288292292288288288287288288289288289289291290289289293292293291291291292293294293294295295293293293292293293293294294294293293293297293293293297299298295297297296296296295297296296301297297295295293295295295297296295294295294293294293293294296295297297295296295295297296296296295296295295296295297296298298298297297297297296297297298298299299299299299299299300300301302303304304302302302302302302301302301301301301301302301301303302303304303303303302302302301301300301300300299299299301301301302302302303302303303304304303303303303304304303303304304303303303303303303302303302303302301301301301301301301301300300300300300300299299300301300301302300300300300302300299299300298299299300299300301300298300300300300301301302302301302302302303304304304305303304304304303303304304304305305305306305306306305305305305305305305304305304304305304303303302301301302301300300300300301302302301301301301301301301301300300300300301300300301300300299300300299300299299298298298297296297297298298298298298297297297297297297296297297296297297297298299298297298298298298297297298298298298297297297296296296296296296295295295295296296297297297297297297298297297297297297297297297297297297297298298298298298298299299299298299300298296297297297298297296296296297297296295296296296296296296295296296297297296295295295296297297296296297296296296296296297296296297297297295296296295295295295295295295295295295295295295295295294295294295294294294294294294294294293293294293292292292292292292293293292292292292291291291290290292291291291290290290290291290290291291292292292293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284289288288286285284282282280280279278278277277276276276276277278277277277277278279279280280279279279279278279280282283283284284284284284284284284284284284284283282284283284284284284283284283284284283283284284285285285284284285285285285283284286287287287288287286287286286285285286286285285285285285285284284284285283281280280281281283286284285286999999999999999999285287289292999999999999999999290289999999999999289287999999999999999292292293999999999295295295294294294293295293294292292292292291292291291294292291292292292290291292292290291290292289290291289289288288287290289289287288286287288290289290291288287289289290291290290291291291293292291293294290291292292292293293293293293293292293293292292293297298296296296297298298296295293294293296300298294296293294294294294295295295295295294291293296295296296296296296294295295294296295295296296296295295295296295295295297297296297297297296296297298297298298298298298299298299299301302301303304303302302299302301301302301301302302303302302302304303303303303303303303303302302301300300300299297298300301300300302302302303303303302304303303302303303303303304303305304304303303303303303302302302302303301301301301301301301301301300300300300300299299300300300301300300300300301301300299299299299300299300300301301301300300300300300301301301301301303302303301305304305304304304304304304303303304305305305306306306306306305305305305305305305305305305305305304305304303302301302302301301301301301302302302302301301301301301301301301300300302301301300300299299300300300301300299299299298297297298298298298298298298297297297298297297296297297297297298297298298297296298298298298298297298298298298297297297296296296296296296296296295295296296297297297296296297297297297297298298297297297297297298298299298298299299299298299300299299299298297297297298297297296297296297296296296296297296296295295295296296296296295295296296296296297296296296296296296296297297297296295295296296296295295295295296296296295295295295295295295295295295294294294294293294293293294294294294293293293293292293292292293293293292292292291291292292291292291291291291290290290290290290291291292292292293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286289288288286285284283281280280278277278278277277277277277278277277277277278279279280280280279279279278278278279281282284284284284284284284284284283284284284283284284284284284284284284283284283283284284283283284285284284285285286285284285285286286286287287286287286287286285287286286286285285285285285283284285283282281280999999277280283283285286283999999999999289291291290290293292999999999999289289291999999999292291999999999999999999293292999999999294294295294293293294294293294293293293292292292292294293293293293292293292291291291292290289289290290291290291288287287290290287288289289287288287288289291290288288289291292289290291293292289289291292292292292292293293293294293293293292292292296293294294295295297297297297296297296296293294293296293293295294293295295294296295294296295294294294293296297296297296297296295295295296296296297296297296296295296296296295296296295296296296297296297297298298299299299299299298298298299301300302302304303304305302308305302302302302304304303303303305305305305304304304305304304303303302301301300301299298300301301301302303303304304304302303304303303302303303303304305305304304304303304303303302302302302302301301301301301301302301300300300300300300300300300300300301300300300300299300300300300299299299300300300301301300300299300300300300301301302301302302302303304304303304304305305305305304305305305305305307306306306306306306306306305306306305305305304305304304304303302302301302301301301301302303302302301301301302301301301301301301300300300301300300300300300300300301300300299299299298298298298298297297297297296296297297297296297297297297297298298298298297297297298297297298298298298298298297297297297296296296295296295296296296296296297297297296297297297297298297298298298298297297297298298299299299299300299299299300300299299299299298298298297297296296299297296296296296297296296295295296296296295296295295296296296297297295296296297298297297297298297296295295297296296296296296296295296295295295295295295295295295295295294294293293293293294294294294293293294293293293294293293292292293293293292292292292292292292291291291290290290291290290290290291292291292292292293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285288290289288286285284283282280279279278277278277277278277278278278277278278279279280280280280279279279278278278279281283284285285285284284284284284284285284285285284285284284284285284285284284284284284284284285285285285284285285285284285285285286285287287288286285286286286286286286286286285286286284284283283283283281281281279279279282283284285284284284999999291292293292290291291293291999999999289289290999999999999999999999289289290293293296999999999294294294294295294294294294294293293293292291294293293293292292293293293291291288290289290290289288291290291289289288287291287288290290289289287289290289289290288287288291289289292290288292289292293291292292293293294293293294294294293293290292294293293295294296296297296295294295295294293296296291291294294293294294294294294294295294294293294294295297296296297296297298296295295296296295296296296295295295296297296295296296297296297296297297297297297298298299298298298298299300300302302302303303303304306306307306305303303302303304303304303304305304304304305305305305304304303303301301300301301300300300301300302300301303302303302301302302303303303303304304304304304304304304304304303302302302302302302302302302301301301302301301300301301300300300300300297300301299299300300299300300300300299300300300300300300301300299300300301300300301302302303303302303303304304304305305306306304305305305305306306306306306306306306307307306306307307306306305305304303303303304302302302302302303302302302302302302301301301301301301302301302300300300299300300301301300300300300300300299300299299299299297298297298297297297296297297296297298297297297297297298298298298298298297298298298298298298299299298298298297296296296296296296295296296296296296296296296297297297297298298298298298298298298298298299299299299299299299299299300300300300300299300299298300299297297296296296295296296296296296296296295295295296296296295296296297296296296296297296298297298297297297297296296294297297297297296296295296296296296295296295295295295295295294294294294293293294294294294294293293293293293293294293292293293293293293293292293292292292292292291291290290291291290290291291291291292292292293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288287289288287285285284282281280279279278278278278278278278278277278279278279279279279279279280279279279279278278279281282284284285284284285284285285285285285286285285284284285285285284285284285284284285285285285285285284284284283284285285284285286284285287287286287287286286286286287286285285286286284284283284283282283282281281280281283282283284284284283285287288292292292290290293292290289999999999287288289999999999999999999291291292294294295999294293293293293294293293294294294292293292292291290293292292292293294293293290291290289292290291290288289290290291290290289290287290290290292290292292291291288287289287288287289290289290288289291292292292291292291293293292293294295295293293291293293293291292293293294294296295294294294294295295296289289289290291295295294292294294295291297295293295294296297297296297297297298296296295295295295294295295295295295295296297295296297296296297297297298297297298299298298297299298299300300301302302302304304303304305306306306304303303303301303303304304304304304305305305306304305304303304304302301302302301302302301300300299999301302302302302301302303302303304304304304304304304304305305304303303303303303301302302302302302302301301301300301300301300301300300300300300300300299300299300300299299299299299300300300299299300301300299300300300301300301301303303303304304305303304304305304305305304305305305305305305306306306306306306307307306306307306307306306305305305304302302302302302302302303303302302302301301302302300300301302301300300300299302299299299301302301301299300300300299299298298298297298298297298298298297297297297298297297297297297297298298298298298298298298298298297298298298299299298298298297297296296296296296295296296296296296296296296297297297297298298299297298298298298299299299300300299299300300298298299300300300300300299301300300298298297297296296296296296297296297296296296295295296296297296295295297297296296296296296297297297297297297297297297296296297297297297296296296296296296296296295295295295295295295295294295294294294294294294294293294293293293293293293293294294294293293293293293293293292292291292291291291291291291292291291291291291291293293293 999999286293286289282280290286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285289289287285284283282280279279279279279279279280279279279280280279279279279279279279279280279279278278278278279280282283284285285285285285285284284284284285284285285285285285285284285285285285285284285285285286286286285284285285285285284283285286285287286287287287286286285286286285285285285284284284281282281283283281281281281999999999999999999999283286287288288290291292999999999287287287999999285287288288287286999999999999999293293293294294293294294293294294294296293294294293292293293293292293293292292293292292290291292291291291290290290289290291290291290289291289290290290289291291292288289292288288289287289289289289288287288290291288293292292292293292292293293293294293292292291290294292292291292292292293292294293293293294294293298289290292292293294293294294294293294296293294294293294295296297298296298297296295295295296295295294295295294295296297296297296296296296296297297298297297298298299299298297297298299300301301303302303304303303304305303304306305302301302303303303303303304305304305306306306304305304305303303302302302301302302302301301298999301302303302302302303302302302302304304304303304304304304304304304304302302302301301301301301301302302302301300300300301301300301300300300300300300299299300300301299299299298299299300300299299300300299300298299300300300301301301302301303303304304303304304304303303305304305304305304305305305306306306306307306307307307307307306306306306305305305304304303303303303303303303303303301302303301301301300300301301299302301299301299300299301301301300299299300299299298298299297298297297298297297298298298295297297296297297296297298298297297298298299298298299298299299298298299299298297297297296295296296295295295296296296296296296296296296297297298298298298299298299299299299299300300300300299299300300300299300301300300300299299298298298299297297296297297297297297296297297296296296296296296296295295295296297296296297297296297297297297297297297297297296297298297297297296295295296295296296296296295295295295295295295295295295295294294294294294294294294293294294293293293294294295294294294294294294293293293292291292292292292291291291291291291291291291293292293 287292291289287293288287288286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291287288288287284283282281280280279280280279279280280280280279280279279279279279279278278278279278277278278278278279280281282284284285285286286286285285284284285285285286285286286285285285285285285286285286286286287287285287286286286285285284285285285286286286285286288286286285286285285285286286286284284283283284280281280281281283280281999999999999999999999287287288289290291999999999286286286287999999287289288287286999999999999999291292292291293293293293293294297294293293293294293293293292294293292293292292291291291289288290290289290289289289290290290291291290290289289291290295290291291292294291286286288289289289289287288287289286289289292292291292292293292291292293291292293292292292292292292292291292292291291293294294293294294293293298296295294294295294295294295293293297296294294294294295296297298298298297296296296295296296296295295295295295295296297296297296296296296297297297297297297298299298298298298298300300301301302302301301302303303304304305304305304303301302304303303302302304305305306306306305305306305304305303304303303302302303302302301999999302302302301301302302301302302303303303303303303304304304304303304302302303302301301301301301301301301302301301301301302301300299300299300300300300300299300300300299299299299299299299299300299300300299299299300300299301301301301302302302303304303302304302303303304305304304304304304304305305306306305306307307307306306305305305306307306306306306306304302302303305305304304303302302302304303301302302300301300300302299301301302302301301300300299299299299300299299299298298298298298298297297297296297297297297297298297297298298297298297297299299298298299299300299298299299299298298297297297296296296295295295295296296296296296297296297297298298298298298298299299299299299300300300300300300300300299300300300300301301300299299299300299300299297297297297297297297297298298297296296296296296296296296296296297296297297297297297297297298297297297297296297298297297297296297296296296296296296295296296296296296295295295296296295295295296295295295294294293295294293293294293294294294295294294294294293293294293293292292292292291292291291291291291292292291292293293 290284284287291285284288294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285288289286285283282281281280280280280280280280280279279279278279279279278278279278277278276277277278278278279279279280281283284285286285285285285285285285285285285284285285285285285285286286286286286287287287287287286288285286286285285285285285285285285288288287287287285286285286286286285286286284284284284282282282281281281281282281999999999999999999999999286286287289289288999287288288288288999999288289288287285287999999999999999290290290291292294294294293293293294293294294294293293292292292292291291290291289290289288289288290290290290289290290290291291290290288292291292292292294289286289284285290291292289289289288288288286289289289291289288291293291291290291291291292291291291293290291292291291291291291292292292293292293293293294296292293292294294295294293293292295296296294294294294294296297296298297295296296295295296296296296295295294295294296296295295296297296296297297297297298298298298297298298297298299300300301302302302302301304304303303302304302302302302304302301302301304305305305305304305304304304304304305304304305305304304304303303301301301302301300300299301301301300301302301302303302302304303303303304304303303302302302301301301301300301301301300301301302302300299300298299300299300300300300300300298298298299300300300299299299300300300300299299299299299301301302301302302302303303302302302302302303304304304304304304304304305304305305305305306306306306307306306306306307307306307306305305304304304304305304304302303302303302303303303301301301300300301301300301301301300300300299299300299299299300299298299298299298297297298297298298297296298297298298298298298298298298298298298299299299300299300300299298299298298298297297297296296296296295295296296296296296296296297297298298298299299299299299299299299299300300300300300300300300299300300300300300301300299299299300300298298297298298297297298298298298298297297297297297297298298297297296297297296296297297297297297297297296297296296297297297298297296296295295297295296296296295296296297296296296296296295295296295296295295295294294294295295294294294294294295294294294294295294294294294294293293294292292291292291291292292292292292292291292294 999287288290289285288287287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285287289287284283282281280280280280281280279279278278277277277277277277276277276277277277276277277278278278279279279280280281282284285285285285285286285285285285285285285285285285285286286286286286286287287287287287287287287286286286284285285285284287287287288287287286286286285286286285286285286285285284284283284283283283282283284283284284999999999999999999288999287288289289289289289289288289288288288288287285286287999999999999999289289292291292294294295294295294293293294294293293291292293293292290290292291288289290290290289289290289290290290289289290290290291292292292291293294284284288289289295293294293289289290289288287287289290290291291292291293292291290290290292292292291291291291290291291290292292291291290290291291293292292294295295294293294294295293293294293297292292293292294294296296297294296295296296296295294295296297295294295295294295296296295295294296296296297297297297297299299298298297298298299299300300301301300302302302304304304303302303304302302301302303302303303303303305305305304304305304304304304303303305305305305304303304303303302301302301300300300301300301301300300300303303303303303302303303303303303303302302302302302301301301301301299301301302302301300300300300300300300300300300300300299299298299300300300300299299299299299300301299300299300300302302302302303302303302302302302302302303302303303303304303304304304304304304304304305306305305305306306306306304307303306306305305304305305304304304304304302303303302303302303302302302301301301300300301301302300300300299299299299299299299299299299299299298298298297298298298298298298298298298298298298298299299299299299299300299299300300300300300299298299298298297297297297297296296296296296296296296296296296297297298298299299299299299299299300299299300300300300300300301300300301300300300300300300300300298298298298297297298298298298298298298299298298298297297297297298298297297297297297297297297297297297297297296297297296296296296298298297297296295295296295295295295295296296296296296296296295295296295295295296295295294294294295295295295295295295295294294294295294294294294294294293294292293292292292292290291291292292292292292293293 999283287289290287289289295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284287288287285283282281280280280280279279278277277276275275276275276275276276276277277277277278278278279279279279280280281281282283284285285285285285286285286285285285285285285285286286287287287286287287288287287287286287286286285285285285284284284287287287287286286285285285286286286286285285284285284285284283284284284284284284284285284287999999999999999999999999290288288289289288288288288289289289289289288999286287999999999999999999999292293293293292293293291293294294294294293294292293292294293291292291290290291291290291289289289290289288289289290290290291290292291293292292287290284293288287289294293289289294294290290290287289291290292291292291293291291290291291291292291291292292291291291291290292293291291291291290291292290290292295293296294296295294295292295296297290291292294293294297296295295295295294295296294295296297295295294295296295294295295295296295295295295296296296296297298298297298297297298298299300300301301301302302302304304305304303302301303301301302302302303303303303304306306304304304305305305304304304303304303303303304303303303302302301301300300300301301301301301301301301303302303302302303303303303303303303302301302301301300301302302300301300301302301300300300300300300300300300299299299299299299299300300300300299299299299300300300300301300301301301301302302303302302302301302302303303303304303303303304303304303303303303303303304304305305305305306305305306304303302303303303304305305305304304304304304303302303303302303302302302300300301301300300300300301300299298299299299299299299299298298298299298299298298298298298298298298297298298297297298299298299299300300299300300299299299299300300300299299298298298297297297297297297296296297297297297297297297297297298298298298298299298299299299299300300300300300301301300300300300300300300299300299300300299298298298297297297299299299298298299298298298298298297297297298297298297296297297296296296297297297297297297297297296296296297297297297299298297296296296295295295295296296296296296296296296296295296296295296295295295295295295295295295295295295295295295295294294295294294294293293293293292292292292292291292291292291291291291291293293 999286286284287286289290290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288287284284282281280280280279278277277277276274274274274274274274275274274275275276276276277278278279279280280281281281281282284285285285285285285285285285285285285285285286287287287287287287287286287287287287286287286286286287285286286286286287287287286286286286286285285285285285285285284284284285285285285284285285286285286285286286289999999999999999999999290287287289288288287289288288289289289289289290287287287287999999999999296999291292290292293291292293292294294294292294292294295294294293290291288290290289288289290289289289288289289290290290291289290293293293292296286286287294287293292291291286290292292293290293287288289291291290290291292289291290290290291292292292292291291290291291292291292292291290290290290290293291292292294297295295293293293293294295293291292292292294296295296294295294295294294295294295296296296295295295296295295296296296296295295295296295296295296297296297297297298299298298299300300301300301301301302303304303302302302302303303302302302302303303302303303305305304305305305305304304305303302302303303302303303303303302302302300299300300300300301300299301301301301302302302302303302303303303302302302302302301299300301301301301301300299300300300300300299300300300300299299299299298298298299299299299300299299299299299300300300300300300301301302302302302302302302301302302302303303303303303303303304304304303303303303303303303303304304305305306306305304304303303303304306305305305305304303304305304303303303303302303302301301301299300302301299299300299298298298299299299300299299299298298297298298299298298298299299298298298298298298298298299299299299300299300299299300300299299300300299300299298298297298297298298297297297297297298297297297297297297298297298299298298298298299299299300299300300300300300301300300300300300299300299300300300298298298298298297298298299299299299299299298298297297298297298297298297296297297296296296297297297298297297297297297297297296296297296297298297298297296296295296296296295296297297296296296297297296296295296295295295295296296295295295295295295296295295295295295294294295294294294293293292292292293292292292292292291292292292292291291293293 281282285282287286286288289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285288287285284282281280280279277277277276275275274274274274273272271271273271272272272272272273275276277278279279280281281280281282283284285285285285285285285285285285286286286286286287287286286287287287287286287287286287286288288287288287287287287287286286286286287285285286285285287285285284285285285285285285286287287287286286286287286287999999999999999999999291289288288288288289289289288288289289289290290291291288288289288288292297999289289288290293293293294294294293293293293292292295294293291291290290289289289289289287288288288288288288288290290291290290294294294292291288285289295293292288288287286290293291289291292287291289290289289290290289288290288290290290292292292291291290290292291292292291290292291291289289289292294294293294297297298294293296295291291291290292293292296295295296295295295294294293294294295295296294294294294293293294296296295294296295295296295296295296296296297297297298297298299299300300301301301302302302303303302302301301302301304302301303302303303302303303303305305305305305305305304303304302302303303303302303303302302301301300299299298299300300300300300300300301301301302302302303303303302302302302302300301301301302301302302301300298301301300300301300301300299299299300299299299296299299299299299299299299299299298299300300300300300301301302302302302301302302301302302302302302303303303303303304305304303303304303303304303303303303304305305305306304304304303303304304306305305306302304301303305303303302303303302302302301300301300301300299300300299298297297297297297299299298299298298298298298298300298299299299299299299299299298299299299299300300299298300299299299299300299301299299299299298298297297298299298298297298298297298298297297297297297298298298299299299299299299299299299299300300300300301301301301300300300300300299300300299299298298298297297298299300299299299299298298297297297298298298297298297296296297296296296296297297297297297297297297297297296296297297298297298298297296295295296296296296296297297296296296296297297296295296296295296295295295295296296295295295296296295295295295294294294294294294293293292292292292291291292291291291292292292292292292292294 281279285284287286287287289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288289288286284282281281281278277277276276275274275275274275274273273271271270272271271271271271272275275276277278278279279279280280281282284285285285285285285285285285285284284284286285285285286286287286286285286286287286286286285286288287287287287287286286286286286286285285285285286285285285286287285285285286287288288287287287287286287288999999999999999999999291289287288289290288289289287288289290290291291290289289289289289288999999999288288288291293294295294294293293293292293292292293292292291292291290289289288288288289288288288288288288287289290290290290294294294294293289287288294296291291288289286286290288288291288287289290290290289290290290290289290289290291293292291292291290290292291291290290292293290290290288291292294295294296297296293292293294291293290291292293292292294294295296295295295294293293293294294294294293293293294293293295295295295295296296296296296296296296296296297297297297298298299299300301301301301302302303302304302302302302301302302301302302303302302302302303303303305305305305305303302304303303303303302302301302302301301301301301301299298299299299298298299300300301301301301302302302302301302302302301302303300302303302301301301300300301301300301301300300300300300299299299299299299299299300299299299299300300299299299300299299299300300300300301301302301302301302301301301302303302303303303303303303303303304303304304303304303303303303303304305304304304303303303304304305304304304304304302301302303302302302302303303300301300302302300300299300300300299298298297297297298298298298298298298298298299300299298299300300299299299299299299299298299300299299299298300300300300299299300301299298298299298298298299298299299298298298298298298298298298298297298298298299299299299299299299300299300300301301300300300301300300300300300300300299300299299299299298298298298299299300299299299299299298297297297298298298297298297296296297297296296297297297298298297297297297298298298298297296298298297297297296297296296296296296296296297297297297297296297296295296296296296296296296296296296296296296296296296296295295295294295295295294294293293292292292291291291292292291292292292292292292293293 283284286286284284286285289999288293289999999999286287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282281287289288286284282281281280278277276275274274274274274273273273273272272272274272273272272272272272274274275274275276277278278277279279280282284284284284284284284283283283283283283283284285284285285286285285285286286286285286286286287286288288288287286286286287286286286285284286285287287286286287285286286286286289290289289288286286287287288290999999999999999999288288288289289287287288288288289290290290291290290290289290290288288286999999284286286293293294293293293293292293293292292292293292293291292292291291291290289289289289289288288287289289289290290293293295292294294292290294295290290286289288289286288288290290290289289288288290290288290290289289289289289291291292291291291290289289291291291290290288290290290288291289291293294294295297293292291291293292292292292291295292295294294294294296294294294293293294294293293293293292292293293294294295295295295296296297297296296296296296297297297297297297298299299300300300300300301301302302302301301301303302302303302301301302302302302302302303303306307306305305304303303303303303302302302301301302300300300300299300300298299300299299296300300300301301301300301301300301300300302303301302301302300301301299301301301302301302301300301300300301300300299300300299299299299299299299299299300300300299299299300299300300300300300300300300301301301301301301301302302303303302302303303304304304304304303303303303303303303303303303303303304305304304304304304305304305304304303303303303302302302302302303303303301300303302301301300300301300300299299298298298298297298298298298298298298298299299299298298300299299299299298298298298299300300300300299300300299300300300300299300299299299300299299299299298299299297297298298298298298298298298298298299299299300300300300300299300300300300301301300299300300300299300300300300300300299299299299299299298298298299299299299299299299298297298297297298298298298299296296296297297296296297297298298297297297297297297298298298298297298298297298297297297296296295296297297296296296297297297297296295295295295296295296296296296296296296296296296296296295295295295295295295295295294293293293293292291291291291292292292292292292292293292295 282282283284283283282283285284285287288289292288288289288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286286288287286284282281280280278276276275276276274274273274274274274273273274274273273273274273273274275276275276276275275276276276277278279280282283284284283283282282283282282282283283284284285285284285284284285286285287286286286286286285289287287287286286287286286286286286285285287288288287287286287286287287289290290289289287287289288286287290999999999999999999286289289289289999288287287287289289289290289290290290291292289999284285286999284284289289290291293293292999291291292293292292294292292292291292291289289291289289289288286288288290291290290292293290287290291292290291290291292290290287289288288288290290292290290290290288289289291289291292289288290289292291291292292291290290291290291291290289289288290290289290290290292292292293295296291291291293291292292291292291296294292293293293293294293294293293293294293293292293292293293293293293293294295295295295296297296296296295296296296297296296296296297298298299299300300300301301301303300302303302302302301301303303301302303303302302303303304305304302302303303303300303303301301301301301301300300299299299299298299299299299300299299300299300300301298299301301300301301301302302302302302301300301301301301301301301301302301300301301301300300301301300300299299299299299298300299300300299299299300300300299300300300300301300300300300301301302302301301302303303303302302303303304304304304304304303303303303303303303303303303303303305304304304304304305304305305304304303303304302302305301301301304304303301301301300300299300301300299300299298298298297298297299297297297298298299299299299299299299298299299298298297298299299300300300300300300300300300300300299300300299299300300299298298298297299299299297298298298298298298298298298299299298299299300300300300300300299301300300300300300300300300300300300300301300299300299299299299299299299299299299298299299299299298298298298298298298298297297296296296296297296296296297297296297296296296297298298298298298297298297297299298297297296297296295296296296296296296297296296296296295295296296296296296296297297296296296296296296296296295295295295294295295294294294293293293292291291291291291292291292293293293293294295 280279281281283282282283283285286287289286286287288289287285285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285286286285284282280280279279277278275277276276275275274274274273273273273274275275275276276276277277276277276277276276275275275277278279279280282283284283282282282282282282282282282284284284284284284285285286285286286286286286286286286286288287287286285285286287285285286286287286287287288287287286287288290289290290289288288288289288287287289290999999999999282286288290289288999287289287289999289290290289289290292999999290291999288287283282282999999999999999999999999999999291292292293292292291291291291291290289288289289289290290291292292291291292292293294291292291292292294293292286286288288288289290288290292292292289290289290291287290291290292292290289291292292290292291291291290291290291290289290288288291290291290290291292294291291292294290292292292291291291291291291294294294292294292292293293294294294293294293293291292294294294294293293293294295295296296296296297297296296296296296296296296297297297297298299299300300300300300301299300301302302302302302302301303301302302302301302302303304304303302302303301301302302301301301301300300300300300300298299298298299298299299298299298300301300302301299300301302301302301302303303303301302301302301301300300300302299301301301301301301301300300301300300300300299299299299299300300299299299299299298300300300300299301300301300298300300300301301301301302302302303303303302303303304303303304304303303304303303303303303303303303303304304303304304304305305305304305304304303303302302302302302303302303302302301301300300300299299300299299299299298298298297298297297297297298298298299298299299298299298298298299298298298299300300300300300301301300301301300301300300299300299299301300300299297297297297299298297298299297297299299298299299299299299299299299299300300300300299300300300300301301300300300300301300301301299299299299298299299299298298298298299299298299299298297298298297298298298297298297296298297296296297296296296295299297299299298297297297298297297297298297296298297297296297296296296296297296296296296297296296296295294295294296296296296296296296296296296297296296296296295296295295294295295295293293293293293293291291292292292291291291292293293294294293 278281281281282282281283283285286283284286285286285286286287286285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286283283285285284284281280279279278276277276276276276276275274274274273273273274275277278278278279279279279278278279279279277278277277276277278278279281282283283282281282282282282282282282283283284284284284284284285286286287287286286287286287287287286287287286288286286285285286287287286286285286286287287287289290290291290290289288288288287286287288288289999999999285287288289289999999288289289290999999289289290289289294999999999293292288288283282284999999999999999999999999999999292293293293293292292291291291290289289289290289289289292291292293289290292293289291295296291292294292293291286287287288289289291290292292293291290291289289289289291292293290289290289293291291292291290290291290290289291290290290289290291290290291291290290290289291290291291291291291289293293295292292293295294294294294292293293294293293293294293294294294294294293294294294295295295294295296296296297295296296296296296296296297296296296297297298299299300300299298299299300301302302302301301301302302303302302303303302302303302303302302302302301301301301301300301301301300300300300300299298299299298299299298299300301301301300300299300302301301302302301301302303303302301301300299301301299301302301301301301301301301300301301301300300300301300299300299300300300300299299299299299300300300300300300300300300300300300301300301301302302302303302303303302303303304304304304303304304304303303302301302303303303303303303303304304304305305304304305304303304303303303303302303303303303302301301301301301300300299299300299299299298297297298297297297297298298298297298298298298297299299298299299299299299299299300300300300301302301301300300300300300300299299300301301300299298298299299299298298298299297298299299299299299299299299300300300300300300301301301300301301301301300300299299301301301301300299299299299299298299299299298298298299299299300299298298298299299298298299298297298296299297297296297297296296296297298298298297297296297298297297297297297296296296296296296296296296295296296296296296298296296295295295295294296296295295296296296296296296296297296296295295295295294294294294294293294293293292293293293293292292292291292293292294294294293 277281279283281283283284284284285284285285285286285284287287286286284999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283284285284284282280279280279278278277277277276276276274274274273273274276277277278281280281281282282281281281281281281280279280279278278278278279280281282283283282282282282282282282282283283282283284283284284285285285286287286287288288288288288287287288287287287286286286287286286286286286286286286287288289289290290999288288288288288287286286286286289999999287287288288288288288287289289290291290289289289289290293999999999999999290289288286284286289999999999999999999999999999999292292293293292292291291290289289288290290290291291293292293293290292292291293295295295295297295291290286286287287290290290292292291291293290290290287288291290289291292291290290290290293290292292290292291291290290292290290290290290291289291291291291291291290290291291292291291292292294293293292292294294295294295294292293293294294294295295293292293294294293293294294294295295295296296296296296296296297297296296295296296296296296297297298298299299299300299299300299300301301301301302302301301302304302302302302302302302302303302302302301301300301301301300300300300300300300300300300299298299298299299299300299301300301300299300300300302301301301301300301302302302301299300300300300302303303302301302301301301301301300301300300300301300300298299300300300298299299300298300300300300301301301300301301301300301301300301302302303303301302302303302302302304304303304304304304304303303303302302303303304304304303303303304305304304304304304304304304303304303303304303303303302303302301301301301301301299299300300299299299299298298298298298297297298297297297297297297297299299299299299299299299298299300300300300300300300300301300300300300300299299299299300300300299298298299299299299299299299297298300299299299299299299299300300300300300301301301301301300301301300300299299300300301301301300298298299299299299299299299299299300299300300300298298298299299299299298298298297296296296296296296297298297297298298298299298298297297298297297297297297297297296296296296295295296295295296296296296296296295295295294294294294294296296295295296296296295296296296296296296295295295295294294293294294294293292292293293293293292291293292293293293294293294293 282280281283281285283284283285285286286286286287286286287287287286285290286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279282284284284282281281280279279278278277277278277276275274274274275276278278279280281282283283283284284284284284284282283282282281281280280279279280280281281282282283282282282282282282282283282282283283283284284284285285285287287286286286287287287287287287287287286287287287287286286286287286287286287287288288289289288999999287287287287287286286286286286285287287286287288286287287287289289290291290291290290290291294999999298298999999999286286283283287999999999999999999999999999999999292293292292291291291290288290290291290291290292292291292291292292293293294295294294295295294293288290287288288289290293291292290292292292291289288288288290290291290290290290291291291291293292292292292291289291291291292292290291291291291290292291291291290290290290291293293294294294295294294294293294295295296296293293294294293294294294293294295294293293294294295294295295295296296297296296296296296296296296296295296296296296296296297297298298299298298299300299299300300300301301301301301304303302301301301301302302302301302302300301300300299299299299299300299299299299299299300300300299299299298299300299300300300300300299300300300301300301301301302302302301301300301301301302302302302301301302301300301300301300300300300300299299299298300300300300299300299299299300300300300300300300300301301301301302302302302301302302302302301302302302302302303304304304304304303303303302303302302303303304304303303304304304305305304304304303304303303303303304303303303303303302302301300301301300300300300300300300299298298299299298298299298297297298298298298298296297299299299299299299298298298299299300300300300300300300300301301300300299299299299299299300300300299298298299299299299298299299298298298299298299299299299300300300299300300300300300301301300300299298300299299299300300301300299298297298298298299299298298299299299299300300299298298298298299299299298297298299297296296297298297297296297297296297298299297297297297298298297298298297296296296296297295295295295295295296295295296296295295295295295294294294295295295295295296296296296296297296296296295295295295294294294294294294294293293293293292292292292294293293293293293294294293294 280280280281282282282285285285285286285285285284286286287286286286285999285281283999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280282283284283282281280280279279278278277277277276276275275275275277279280280281282283284284284285285284285285285285285285284283283282282282281280280280280280281281282283283282283283283283283283282283283283284283284284284285285285286286287286286287287287288287287287286287286285286287286287287286286286285286287288288288288999999999286286286285285285285286286288287286285287287286286286288288288289291290290290291292293999296295295999999999999284285285286289292999999999999999999999999999292291292291290288289288289290291290291291291290290291292293291292293294295295294294293292290289287293288288289290290292291290290290291292290289291288288290289287288288289290290290290293291292291291292292289290292291291291291291291290290291290291291290290290290291293292291294294294295295293293294294295295295295294294294294294295294294295294294295293293294294295295295296296296297297296295296297296296296296296296295296295296296297297297298299298299299299299299299299300299301301301301301303303301301302301301302302302302301302301300299299298299299298299299298298299298299299300299299299299298298299300300300300299299299298298299299299299300300301301301300299300301300300300301301302302300301300299300301301300300300299300299300299298301300300300300299299299299299299300300299300300300301300301301301302302302300301301302301301301302302303303303303304304304304304303303303303302302303304303304303303303304305304304304304303303303304303304303303303303303303303301302302301300300301301301300300300300299299301300299298298298299298298297297297298298298298297297299299299297297298298299298299298299300298300299300300300300300299299298299299299299300299299299298298299299299299299298298298298299298298299299299299299299299300299299300300300301301301299300300300299299299299300301299299298298299299298298298298298299299299300299299299298298298298299299298299299298298297296296297297297298296297297297298298297297297297298298297297298297297296297296296295296295294294295294296297296296295295295296295294295294294295295295295294295297296296296296297297297296296295294295295295294294294293294292292292293293292292293293293293293293294294294293 282280280280279282283283285286284285286287284286286287287287286286285280285284284281999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279279281283283281280280279279279278278277277276275276276277277279280282282282283284285285285285286286285285286285286286286285285285284283283282282281280280281281281282282283283283283283283283284283284284283284284284284285285286286287287287287286287287287288287288287287286286286286288287287287287287288288286289287289288287287287284287286285282285284285284285285285286287287286286287286286287287289291291292293293293295293294294293295999999999284286285285287289294999999999999999999999291292292292291290288289289290290290290291291291291289290291294291292290293295296294293291291287291293288288288289289289292292289291291291291287288288287287288288288288288289291290290290291292292291291292290290290290290291289289291291290290291291290290288288289291292294292292292294293293294292292293294294294294295294294294294295295294294293293295294293294295295295295296296296295296296296296296296296297296296296296295296296295296296297298298297299298298298298298298299299299301301301301301301301300300303302300300301301301301300300299299298299298298299298298298298298299299298298299298299299298297298300300299297298298298298298299299299299299300301301300301301300300301300299300300300301299301300300301301300300299299299299299300300299300299300300300299298298299299300299299300300300300301300301301301301301301300301301302302302302302303302303303303303303303303303302303303303303304303304304305303303303304304304304304304303304304303304304304303303303303303302301302302301300300301301301301300300300299297300301298297298298299298297298298296298298298298297299298299297298297298298298298297298298298298299299299300299299299299299298299299299300300300299299300299299299300299300299298299299298298298299299299299299299299299299299299300300301301300301300301300299299299300300300299299298298298299298298298299298299299299299299299299299297298298298298298298299297298297297297297297297297297297298297297298297297297298298298298298297297296296297296296295295295294293294295295296295297297296295295295295295295294295295295295295295296296296296297297297297296296295295294295294294294294293294293293293292292292291293293293292292293294294293293 280281280280280282283282285286285285287285285286286286285286286286285284285282282284999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279281278281281281279279280279278278277276276276275276277278279281282283283283284284285285286286286287286287287287286287287286285285286285285285284283282281281281281281281281282282282282283284284285284284284284284284284285285285286287287287287287287287288288288288288288288287287287287287289288287287288289288288287288288288999286286285286285285283283284285286286286286288288288287286999286285285287290291293294294294294292294294291292291291291999284286286285288290292297999999999999999999291293292291290289288289289289289289290290292292290292288288291292292292293294295291291289290293293293289288289289289289291289291290289291290290289288288288288288291288288288290289289290291291290291292291289289290289291290290288290292290290291291291291291289290291292292292293293292293292292293292293293293294293294294294294295295294293293293294294294295295294295296296297298297297296296296296296295295295296296296296296296296296296296297297297298299298298299297298298299299299300300300300300301301301301301301301300301301300300300299299299298298298298299298298298298299298298298297297298299298298298299299300298298298299299299299299299298298299301300300300301300299300300300300300300301299299300300299299300300300298299300299300299299298299300300300299299299299299299299299299300300299299300301301301300301301301299301301302302302302302303303303303304303303303303304302303303304303304303304304304304304304304305303304304303303304303303303304304303303303302303302302301302302301300301301300301300300300299298301300299297298299299298297297297298299298298298298299298299299299297298300299299297298298300300299298299299299299299299299298298299299299300299299299300299299299300300300299300299300299298299300299299299300300299299299299300300300300301301300300300300299300301300300301300300299299299299299300299299299298300300299299299299298298298298298298297299299298298296297297297297297297297297297297298298297297298298298299298298297297297297297296297295295295294294294295295295295296296296296295295295295295295296295295295295295296297296297297298298298297296295296296295295294294293294293293292292292292292293293292292293294294295294293294 275280279281282280282284285284286286286284286286285285284286286286285285286285283284291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277279281280280278278279278277276276276275276277277279280282283284284284285285286286287286287287286287287287287286286286286286285286286286285285284283283282282281281281281282283282283283284284285285284284284284285284285285286286287287287287287287287288288288289289288288288289288289289289289288288288289289288288289289289999288285285283283283283284284285286286287288288288288288288288999999999288290293293294294296293294295295293292291290289289286285286289290293295297301293999999999999290291291290289289288289289289289290290289292291292292290290291293294293293293293291290288287292293292289287291286287288291291291292291290288288289289289289288291291291288289290290290289291292291291292292290290290291290290289291291292290290291289290290290290289289291292292293294294293292293293293293293292292293293294294294293295295293293293294294294295295295296296296297297297297296296296296296295296296296296296296296296295296294296297296297298298298298298297297299299298298299299300299300300301301301301301301300300300300300299299298298298298297297299298298298297298297298297297297298299299299298299299300300298298297301299299298300298299299300300299300300300300300300299301300300302301300301300299299300300300299299299297299299298298301301300300300300299299299299299299299300299300300300301301301301301301301301301302302303301302303303303303303304304303303303303303303304303303303302303303303304304303303305305304304304304303303303303304304303303303303303302301301301302301299300300300301300300301300298301299300299301301298301298298298298298297298298298299299299299300297298298298297297298300300299299299298299299299299299299299299300299300299299299299300299300299299300300300298300300299298299299299299299300300299300300300299299300300299300300300300300300300300300300301300299299299299299298300300300300300300300300299299299298298297298298298298299299298298297297297297297298297297297297297298298298298297298299299298298298298298298297297296295296295296296294295295295295295295296295295295296295295295295295295295296295295296297297297297297297297297296296296295295294294294295293293292292292292293293293292292293293293293294293294 279279280282282285283284284284284285285284284285283285285286286285285285286999286287292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275277279278277276277277276276276276276276277278279281282284284285286285286286286287287288288287286287287287288287287287287287287286288287287287287285285285284283283283283283284284284284284284285285285285284284285285286285286286287286286286287287288288288289288289289289289289289289290289290290289289290289289290290289289286286286285284285285284285285286287287287288287288288288288287288999999999291291294294294296298290295295292292290290289288288287288295999295296296293294999999999999292291291290289289289289290291291290289292292293292292292292292293294292293292293293291292290291292292291291287288289290292292291292290290290288289290289289289290291288288287289289288288291291291291291292290290290291290290291291291291291290290290290290290291291292291292292293294292291293294293294292292293293293293294294294294294293294294294294294295295295296296296297297297296296297297296296296296296296296296296297296296297296296297296297298298298298298298298298299299299298299300300301301300301300301301301300300300300300300299298298298299297297298298298298297297297297298297297297298298299299298299300300301300299299299299299299299300299300300300299299298299299300300300301300301300301300300301300301301300298301300299299299298299299300300300300299300300299299299299300300300300300300300301301301299301301301302301302302302302303303303303304303304304303303303303304304303303302302303303303304304303304304305304304305304303303303303304304304302302302303303302301301301302302299300300300301301300300300298300298301299300301302301298299299299299299299298298299300300300300300300300299299298299299299299298298298299300299299299298299298299299299299299299300300300300300299300300300299300300299301301300299300300300300300300300300301301300300299300300301300300300300300300300300299299300299299298299300301301300301301301300300298298299298298299300298298299299299299297297297296297297298297298298298298298299299298298299299299299299299299298297297296296295296296296294295295295296296295296295295296295295295295296296295295295296296296296297297297297297296296296296296295295295294295294294293293293293292293293292292292293293292294294293293 278280281282282281281283283285284286286285284285285286286286286286287286285285287286290288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269270273275276276275274275275275276276276276277277279281282284285285286286286286286287288288289287288287288288288288289289289289288287286286289288288287287286286286285285285285285285285285285285285285285286285285285286286287286287287286286287286287288289288288289289289290289289289290291291290290290289289289290290290290290290286287286285286286287285285285288288286288288287288288288288288290999999999999290294999295296293298294293293292290289288289289289290298999999294295294999999999999999291292293290290291289289289291292291292292292292292292292293292293293293294292291293292291292291291292292290289287289291293291291288290289290287289289289288290287290289288288288289288287289291290291291291289290289291291291291292292294291291290291291290290291292292292293292293294293292293293293293292292292294293293293293293295293293296294294295295295296296295296296297297296296296297297297297296296296296296297296296296296296296295297297297298298298298299298298298299299300300300301301301300300300301301300300299300300299300299299298298298297298297298299298298299297297297297297297297298298298299299299299300300300300300299299299299299300300299300300299298299298299300300300300299299302301301301301300300297299299300299298298299299300299300300299299299300298299299299300300300300300300301301301302301301301301300301301302302302302302302302302303302303304304304303303303304303303303302303303303304303304303303305304305305304304303304304304304304302302302303303302302301302301301299299299300300300299300299298299299299301301300300300299299300300298299299299298298300300300300300300300300300301300299300301299299299299300299300299299299299299299299299299299299300300300300300300301300301300300299299300300300300300300300300300301301302301300299299299300300299300301300301300300299300300299298298298299300300301301301302302301299299299299299299299299298299300299299298298297297297298297298298298298298298298299299299299299299299299299299299298297297297296297298297296296296296296296295295295295295296295296295295296296296296296296296297297297297297297297296296296296296295294294295294293294294293293293292291293292292292293292293293293293294 280279282282282281281281284285284284285285284283285286285286286286286286286287287286289285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265269271274275274273272272273275276276276277279279281283284285286286286286286287287287287288288288288288288288289288289289290290289288287288289288287288287287287287287286286286286287286286286286286286286286285286286286287287287287287287287287287287288287288288289289289290289290291290290290290289289290289290291291290291288289288289286286287286287287288287288288289289287288289289290290287291999999999999999999999999999999292291291291289290289291289290289292999999293293296294999999999999999999293291291290291291291290291291292291290291292294292292293291293294294292294295295294294294293294290291290290289290291292290290286287287289287289290289287288288290289289288288285287288289291291291291290290290291292292292292292293293292292290292291292291291292292293294294293293293293293294293293293293293294293293292293293294294293294296295296296295296296295296296296297296296296296297297297296297296296297296296296296296296296296297297298298299299298298299299299298299300300299301300301301300301300300300301299300299299299299298298298298297298297298299298298298298298297298296297297298299299299299300300301300301300300300300299299299300299300299299299299299300299299299300301300301302302301301301301300300300299298299298299299298299299300302300298299299300299299299300300300300300301301301302302301301301301301301301302302302302302302302302302303303304304303303303303303304303303302302302303304303304305303304304304304304304304304304304304303302304303304302302302302302301301300299299300299299300300300300300300300302303301300300300300300301300299300301298300301300300300300300301301301301301300298300300298298299299299300299299299298297298299299299300300301300300300300301300300300300300299299299299300300300300300300300301301302301302302300299300300301299300301301300299299299300300298299299299299299300300301301302298299298298298299299299298299298299299299298299297297298297297297298298298298298298298299299299299299299300300300299298297297297298298297296296296297296295296296296296295295295296295296296296296296296296297296297297297297296296296296296296296295295294295295295293294293293293292291291290292292291292292292293292294293 280280280281276280282283282284283285284285285285285286285285286286286286286286287284287287285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264267270272273273273273275275276276276278277279280283285285286286286286286287287287287287287287288288289289289289288289289289290289289290289289289288288287287286286286286286286287287287286286286287287287287286286287287287287288288288287288288288288288287288288289289289289290289290289289289288289288290290291291292289290290290289289286287288290288288288288286290289288289289289289289290289292999999999999999999999999999999288289289290289290292290291292292293999999293293294999999999999999999999999291290291291290290290290290293291290289291293293290293294288291294291294291293294294293292290290292292290291290290290292290288288287288288289289289287287288289288290288289289289290290291290290288289289290291291291291293293293293293292292292292292291292292292293293294293293294294293294293293293291293293293293291293293294294294294296296295296296296296295296296296296296297296297297297297297296296296296296296296296297296297296298298298299299299298298298299299299298299299300300300300300300300300300300300300300300298298298298298298298298297297298299298297297299297297297296297298297297299298299299299300300300300300300299299300300299298299299298299299299300300299300301300300301301302301301300301300298298298298298297298298300299301299301300299299299299299298298299301300300300300300301301302301301301302301301301301301302301302302302302302303303303304304303302303303303303302302303302303303303303304304304303304304303303305303304304303303303303303304303301301302303302301301301300301299300299299299300300300301303303302299300300300301300301300301301300300300300301300300300300301301300300300300297299297298299299299300299298300300299298299299299300300301300300301301301300300300300300300300300300300300300300300301300300300301301302302301300300300299299300301301300299299299299300297298298298298298300299300301299299298298297298298299299298298298298298298298298297297297297297298298297298298298298298298298298298298298299299299299298298299298297297296295295296297297296296296295295295294295295295296296296296296297296296297297297296296295295295295294295295295294294294294294293293294293292292291291290290292291291292293293292293293 280281279280281284282283282283285284284284283285286286286285286286286287286287286286286283284999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277275270270269269272274275274273274275276277278279280281282284285285285285285285286287287287286286287288288288289289288288288289289289290290289289288288288287288287287286285286286287287287287287287287287287287287287287287288288288288288288288288288288288288287287288288288288289288288289289289289288289289289289289290290999291289290290289290288288289289290288289289289287290288290290289289288290290999999999999999999999999999999999290289290290292293290291293292293294297999999999999999999296298999999999999290290289290290289290290290290292294293292292291290291290289292293294293292293294294291290290290289289289289290290289291289289288286287286289287287286287287289287286288288288288288289289289289288288288290291290291290291291292292291292291292292292292292293293293294293293294294293293293294293292292293293293293292292293294293294294296297295295296296297297295296296297297296297297297296296296296296296296296296297297297297297296298297298299299299298298299299299299298298299300300299300300300300300300300300299299300299297297297297298298298297297297297297298297295297297296296296298298298297298298298299300300299299299300300299299300300299298299299298298299297298300300300299300301301301301301301300299298298298299299298297298300299300299300300301300300300300299300299300299299300300300301301301301301301301301301300301301301301302301302302303302302303304304303302302303303303302303302303303303303303304304304304303303303304303303303303302302302303303302302302301302302302302301299299299299299300299299299300300301301303301300300301300301301302301301301300298300301300300300301300300301300300299299300299298298298299299298299298298298298298298299298299299300300300300301300300301300300299300299299299299299299299299300300300300299300300301301299299300299299299300300299299298299300299299299299298298298299298299298299298297297297297298298298296297297298297297298298297297297297297298298298298298298298298298298298298298298298298298301298298298298297297296296295295295295295296296295295295295295296296296296296296297296298296297297296296296295295294294294295295294295295293293293293293293292292291291291290290290290290292293292292293293 281280280281278278282281284285285282283283285285286285286286287286286286287286285286286284284999999999999281999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276277276276274273273270272272274274274275276277279280281281283284284285284285285285286286287287287286287287287288288288289288288288289289289290289288288288287287287287287287287287287286287287287287287287288287288287288288288289289289288288288288288287288288287287287287287288288288288288288288288289289290289289289288290290291999294290288288289290289288287286288287288288285287288287289289289289289290291999999999999999999999999999999288288289291291292296293292292293295294297999999999999999999296297999999999999296291290290290290289290291293293294296293291290290290291290291291292292292291293290286288289290289288290291289290289286287288288287287288288287287286289288288290287290287287288288287288287288288289289289291290292292292292293293293292291292292292293292293293294295294295294294294293293293292292292293293294293293292294294294294293293295295296296296297296296295296296296296296296296295296296296296296296296297297297297297297298298298299298298299298298298299298298298299299299298299299300299299300300299299298299298299298297297298298298297297297297297296297296296297297297297297296296297297297297297298298298299298299299299299299299299297297298298299299298298297299299299299299300300301301301301300299299299299300300300298298297299299299299300301301300300301301300300300299299300300300301301301301301301301301300299300301301300301301301302302302302302302300304301302302302302302303302302302302302302303303303302303302301302303303302302303303303303303302303302301300299301301299299300299299298299299298299299300300302301300300300299299300300301301301301300299299299299299300299300300300300299298297298299298297298297297297298297297296298298296296298298299299299299299300299300300300299300299299299299298299299299299300300299300300299299299299299299299299300299299300299299299299300300300299299298299298298298298297299298298298297297297297297297298298299299298298298298298297298298298298297298298298298298298298298297298298298298298298298298298298297297296296296296295296295295295296295295295295297296297297297297298298297297297296297296295295295295295294296293293295294294293293293293293293292291291291290292290290290293293292293293293 281282282282282280281284285285285285285285283286286287287288287287287287285285286286284282287999999999285289281999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270278281278277276273274274274272272274274276278280281282282283284284285286285286286287287286287287286287286287288288288289289288289289289288289289288288288288288287287287287287287287287287287287287288288288288288288288289289289289289290288288288288288288287287287286286287287287287287287288287288289288289289290289289289290291290999289289289289289289290287286287287288287289288287288288290289290289289290291295999999999999999999999999287287289289290292291292292290999294295296297999999999999999999294294294295293291292292290290290289290291291293292294293291291291291290289290291291291291292293291289288288288288290289289289288290287286285288288287286288289287288287288288289288289288288287287287287288287287287288289290290292293292292291292293293292291291292292292292292293293295294294294295295294293292292292292292292292293292293293293293293293294294294294295295296296296296296295295296296296296296296295296296295296296297296297297296297298298298298297297297298298297297297297298298298298298298298299299299300300299298298297298298297297297298297297297296297297297297297296296296296297297296296297295296297296296297298298298298299298299299299298298298297297298298298297297296297298298299298299299298298300300300299299298299298297298298298298299299299299299299300300300300300300300299299300299299300300300301302301301301300300300300300300300300301301301302301302301301301301301301301301301301301301302301302301302301303302301301301301301301301301302302302302302302302302300300300301302300299299299299298299299299298299300299300300299300299299298298299299300300301301299299300300300299299299300298298298299299298298299298297299297296297298297297297297297296297296298298299298298299298299301300298299300300300300299299298298299299300300299298299299299300300299299299299299299300300298299299300299299299300299299298298298297299297298298297298297297297297297297297299299299298298298297297298298297297297297297298298298298298298298298298298298298298299298298298298298297297297296296296295295296296295295295295295297297298297297297296297299297297297296296295295296296295294293293294294294293293293293293293292292292291290292292291290290291292292291292293 283283282280282280282284284286286285285284286286286288287288287288287286285287288285284280280999999999275286281999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272276278277280278277276275275274274276276276278280281282283284284284285286285286286286286286287287286287287287288288288289289288288288289288288288289288288288288288288288289288288287287287287287288287288288288288288288289289289289288288289288288288288288288288287287287287286287287287287288288288288289289289289289289289291291290999999290291289289289287288288288287287288288289290290289289289288289289290290292999999999999999999999294286289288999999291292292290290291999294294294296999296294999999999293294294293290290289291290290291291290292291291293293293293292291290290290292291291291291290292291292288288290291290289289289288289288287285288287288288288288287288289289289290289288286287287288287288288286287287287288287290291290290291290291291291291291291292293292292292293294293294295294294294293294293292291292292292292293293293293292292293293294294294294295295296296295295296295295295295296295295296295295295296296296296296296296297297297297297298297297297297297297297297297297298298298298299298299299298299299298297298298298298298298298297297296296296296296296297296296296296296295295296296296297296296296296297298298298297298297298298298298298298298298298298297297296297297297296300299299298299300300300299300299298299299298297298298297298299299298299300300300300300299300300300300300299299300300301301302301301301300300300300300300300301301301300301301301300300301301301301301301301301301301301300300299300301301301301301300301301301300301301301302301302302303301301301301301301300300300298298298299299298298298299300301299298299298298298300299300301300300299299299299298299298298300299299299298299298298298298297298297297296298297297296296296296296296296297298298298298299299299300299299299300300300300299299298299299300301300299299299300299299300300300299299299299299299299299299300300300299299299300298298300299299298298298298297297297297297297298298299298298298299298298298298298297298297297297298298298299298298298298298298298300299301298298298299299297297297297296296296296295295295295295295296296297297297297297297296297297297297296296295295295295294294293294294294294294294293293292292293293292290290291292290290290291292292292292292 285285284281284282285284285285285285286287285287287287287287287288288287287286287284283280281280277280280286281999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277273273274279279278280281281280279278278279278278279280282282283284284285285286286286286287287287287286287287286287287288288288289289289289288288288288288288288289288288288288288288288288288288287288288288288288288288288289288288289289289288288289288288288288288288288288287287287287287286287287287288288288289289289289290289289290291293297999291290289288288286288289289288288288289289289290289290290288289289290292292999999999999999999999293287288999999999999999289290291290999294294292293295296294999999999292292292293291289289287288292291291291292292293294293293293292291291291291290290290290290290293290289290289290290290289289289286288288287288287286287287287286287289288288289289289289288287287287288289289287287286287287288289290290289290289290290291290291291291293293293293294294293295294293293294293293292292292291291292292292291292292292293293293294294294294294295295296295295295295295295295296295295295295295295295295295296296296296296297296297297296296296297296297296296296297297298298298297297298298298298298298297297298297298298297298297297296295295296296296296297296296296296295295295296296296296296297297297296297298298297298298298298298298298298298298298299298297297298299295297298298297299300300300302300299299299299297297299298298298298299299299299300300301300300300300300299300300299298300301301300301301300300300299300300301300300300300300301302302301300300300300301301301301301300300300300300300299301301301301300300300300300300300301300300301301302302302302302301300302301301300299299299299298299299298298299299299299298298298298299300300299300301300300300299298298299299298299300299299298297298298298297297297297297296297297298296296297296296296296297297298297298298299299299299299299299300300300300299299300301301301300301301300300300299300300299300299299299299299300299300300301300300299299299298298299299298298299298298298297297297298297298298298298298298299298298298298298298298297298298298298299299299299298299298299299300299299298299299299299298298297297296296296296295295295296295296296296296296297297297296297296297299297297295296295295295293294293293294294294294293292292292293292293292291291291291290290291291292293292292292 284286284286282286288285287287287286287287285288288288288288287286287287286284282283283283283281283280281280281999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276278278279279279280281281281280281280280280280281281282283283284284285285285286286286286287287287287287286287287287288288288288288288288288288288288288288288289289288288288287287288288287288287287287288288288288289289289288288289289289289289289289289288288288288288287287287287287287287287287287288288288288288288290290291291290290290292999999999288287287288288289290289289289288289289288288288288289289289288289290999999999999999999999294288287288999999999999999287287287999999293293293295293294294292999999290292292292289289288288288290292292292292293292294293292291293292291292291290291290291290291291291290291289290291289289289288287287287289287285286286286287287288288289288289290290289288288288288287287287287287287286286288291288288289290290290291291290290291291292292291293294295294294294294293293293292291291291291291292292291292292292292293293294294294294295296295296296295295295295295295295295295295295295294295295296296296296296296297297296296295295295296296296296296296296296297297297297297297298297297298298298298298298297297297297297297296296295295295296296296296296296296295296296296296296296297297296297297296297298297297298298298299299298298298298298298298297297297299297297297296297299297299300300299300299299298299299300297298298299298299300300299300300301301301300299300300300299300301301301301301300300300299300299299300300299300300300300300301301301300300301300300301300300301301299300299300299301302301300299300300299300300301301301300300300301301302302302302301301302301301301299299299299299299298298299299299298299299299299299298300300300300301301301301299298297300299299301299299299298295298297297297297297296296297296296296296296296296296295296296296297298298298298299300299299299299299299300299299299300300299300301300300300299299299299299300300300299299300299300299300299300300299299299298299298298298299298298297298297297297297297297297298298298297297298297298298298298297298298298299298298299299299300299299299299300300300298299298298299299298298297296297296296296295295295295295295296295297296296296296296296296296297297296295295295295294294294293293293293293293294293293292292292292292292292292292291291290293292292292292293 287285286284285285286287287286287287287288288287288287287287286286287288287287287285283283281281280278278999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278279279280281282282283283282282282281281281282282282283283283284284285285285286286286286287287287287287286286287287287287287288288287288288287288288288288288288288289288288288288288288287288288288287287288288288288288288288288288288288287288288288289289289288288288288288287287287287286287287287287287288288288289289289290291292290290290291291999999999287287289287288289288288288290289289288288288288288289289288290289291292999999288287287999999287289999999999999999999288287287999999291293293293294293295293999999999290291290289288290287288290293293290289289290291292292291292291291291290289290291291291290290290291291290290290290289289286288287289288287287286286287288288288287288288288290289289289286287288286289287288286289288286287289289287289289289290291292291291292292293292292294294293292294294293293293292292291290291291290291290291291291292292292293293293293294294294295295296295295296295295295296295295295295295295295295296296296296296296296296295295296296296296296296296296297297296297297297297297298297297297298298298298297298297296297297297297297296295295296295296296297296296296296296295295296296296295296297296298297297297297296297297297299298298298298298298298298298298298298298297297297298299299299298299301301300300300300297298297299298298299299299300300300301303301301301300300299300300299300300301301300300300299299297299300300300300300299300299300300300301300301301301299301301300300299299300299299299299300301300299300299299299300300300300300300300300300301302302302301301301301300300300299299298298298298298298298298298298299298299299298298298299299301301300300299298300300300299301301299299299298298297297297296295296297296296296297296295296296296294295296295296297297298298299299299299299299299299300299299299299300299300300299299300299299299300299300300300300299299299299299299299300299299299299298298298297298298297298297297298297297297297297298298297297298298297297298298297298298298298298298298298299299300299299299300300300301300299299299299299298298298297297297297296296296295295295296296296296296295296296297298297297296296297296296295295295294293295293293293294293294293293293292293293292292291292292292292291292293292292292292292 287285286284286287287287288287288288286287288286288288287286286289290287289285286284283283280283285278279283999999277280999999999999999999999999999999999999999999999999999999999999999999999999999999999999287999999999999999999999282281281282282282282284284284284284283283282282283283283284284284285284285286286286286286286286287287287287287287287287287287287288288287288288288288288288289289289289289289288289289288289288287288288288288288288288288288288288289288288287288288288288289289289289289289289289288288288288287287287287287287287288289289289290290290292292292292291293293999999999999289999999288287287289290290289289290288289288288288288288290290289290999289289288287999999288291999999999999999999287286999999999289292293294295296294295999999999999291289286286289288289292291292290289288290291291291291289290289289289289288289289291291290289290290291290289288287287285285288287288288286285287287289288287287287287287288288287286284286287287287287291289287290285288289288289289289289290291291290290291292291292292292292292291292292292292292291291290290290290291290290290291291292292292292291292293294294294294295295295295295295295295295295295295295295295294295295295296295295295296296295295295295295295295296296296296296297297296296296297296297297297298298298297297297296296296297297296296296295295295295296297297296296295296295294295295295295296296295295296296296296296297297297298298298298298298298298298298296298298298298297297298298299299299300300298300301297300300299298300298299299299300299299299300300301301299299299300299299300299299299300300300299300301300299299299299299299299299299299298299300300301301301300300300300300299300299300299299299299300299299299299298299298299299299298299299300300300300301301301300302301302300299300300299298298298299298297298299298297298299299298299297298298299300300299299299299299299298299299301299299299301299297297296297296297297296298299298297296296297296295296295295296297296297297298299299300299299299299299299299299299300300300300300299299299299299299299300299300300300299299300299299300300300299299298299298298297298297297298298298297296296297297297297298298298298298298298298298299299299298298298297297299300300300300299299300299301301301301300299299299299298298297297297296296297296295296295296295296296296297297296297298298297296297297296296295295294295294294293293293293293293293292292293292292292292291291291293291291291291292292292292293 286286286287286286289287289287288286288287289288289289288288288287287291290284285285284283283284283282281284281281280281279281281281999999999999999999999999999999999999999999999999999999999999999999999999999286284999999281282283283283284284285284284284284284284284284284283284284284284285285285286286286286286286286286286287287287287287287287287287287287287287288288287288288288288288289289289289289289289289289289289288288289289289288288288288288289289289289289289289289289289289289290290289289289288289288289288288288287287288287287288289289289290291291291292292292292293296999999999999288289289290290290288290290289287288289288288288289289290290290289289999288290290287286999290292999999999999999999285287287999999999289292293295296296295999999999999999289288284285289292294293290290289289290291290292291290288289288287287288288288289291290290288289290289289288287287286287288287288289288286287287287287287287287287287287288286286286286286287287289290289289289289289286285290290287287289290291290290290291292291292292292292291290291291291291291291291290290291290290290290290290291292292292292293293293293293293294294295295295296295295295295295295295295294295294295295295295294294295296296294295295294295295295296295295296296297296295296296296296296297297298298298297297296296296296296296295295295295295295295296295296295295295295295294294295296296295296296295296295296296296296296297297298298298297298297298298298298298298298298298298298298298300299298299300299301300299299299297299298298299300299300299299299300300300298298299299298299299299299300300300300300300300301300299295299299299299299300299299299299300300299300300300299300301300300300299299299299299300299299299298298299299298298298299298299299299299299301302301300301301301301300300300299298298297297298297298300297297298298297298298298298299298300300299299299300298298300299300301302300300300298298297297297296298298299299298297296296296296297296295295296296296296297297298298299299300300299300300299299300300299299301299300300299300300300299300300299300301301300299301300301300300299300299299298299299298298297297298297298298296296297297298297298298299299299298299299299299298298297298298297297298299300300301300300299300300302301301300299300299299299299297297297297297297295295295295294295295296296296296297296296297297297297296296296295295295294294294294293293293293293293293293293293292292292292292292292291292292292292292293293293 284284284288287288287288286284288286288287288287290288287288289287288288285289286285285284283282283284283282283282280999999281281280283999999999999999999999999999999999999999999999999999999999999999999999286285283283283283283283284284284284284284285285285285284285284284284285285285286286286287287286286286287286287287287287287287287287287286287287287287287287288287287288288288289289289289289289289288288289289289288288288288288289288288289288289289289289289289289289290289290290289289290289289289289288289289289289289288288289288288289289290290290290291291292293293292999999999999295291287287289288288291287288288287287287287289287286287290291290290289288289289289289288287289289293300999999999999285286287999999999999288292294301295294295294999999999999288288287285292294294293292291291291292292290291291290289288289287287289288288289291288289289290288289288288287286286286288288288288288288287287286287288287287287288287289290286286287288288287288289288288288288289286288291288288288288289290291291291291292292291292291291292290289290291291290289290291290290290290290290291291291291292292292291293293293294294294294295296295295296295295295295294294294295294294295295295294294295295295296295295295295295294294294295296296296297296296296297297297297297297297298297297296296297297296296296295295296296295295295296296296296296295296294295294295295295295296295296295295295296295296297296297297298298298298297298298298299299299299299298298298299299299299297298297298299299299298298299298298298299299299298299298299299299298298299299299298299299299299300301300300300300299300300299298298298299298299300299299299300300299299300300301301300301300300299300299300299299298299299299297299298298298298299299298298299298299300300300300300300299300300300300300299298298298298298298296298298298298297297298299299298298297298299299299300300300299300299300301302302299298299298298298297297297297297298296296296295295294296296296297297296297296297297298299298299299299300300300300299300299299299301301300300300300301299300300300299300301301301301301302302300299300299300300299298298298298298297298298298298297297299297297298299298299299299298298298298298297297297298298297298298299299300300299300300300300301301301300300300299299299298298297298298297296297296295295295295295296297296297296296298298297297296296296296296295296295295294295293294293293294293294293293293293293293292292293292292292292292292292292293293 286289290289288287287286286287288289288288289292288289289290288288288290286289287287287286284284283283283283282283282999999280280281282283999999999999999999999999999999999999999999999999999999999999999288286286285284283283283283283284285285285285286284285284285284285285285286286286287287287287287287287287287287287288287288288288287287287287287287287287287287287287288288288288289289289289289289288289289289289289289288288289288289289289289289289290290290290290289289290290290290289290289289289289289289289289289289289289288288290289290290291290290291290290292292291292999999999287289290289288288287288286288287288288288287288288288288287290290289289289289289290290290289288288288292299999999999999284287288999999289288290289302301292293294294999999289289287289287999293293294292291290291291292291290290290291290289290289288290289289289290291290289289288288288288288286287287289289287287288288287286286288289288287288288289287288287288288287287288290286287287287289289290288289289288289290290291291292293292292292292292290292292291289290292291292289290291290290290292293290291291291291291291292292292293293295295295295295296296296296296294294294295295295295294294295295295294294294295295295295295295295294294294295296296297296297297296296296297297297297297298297297297296297297297297297296296296296295296295296296296296295295296296295295295296296295295296295295295295294295295296296297297297297297298297298298299298299299299299299298298298299300300300298300299300300300301300300300298299298300298299299298298299299299299299298299298298299299300299300300300300300300300301300300299299299299299299299299299298300299300300300301301301300301300300300300300299299299300299297297297298297298297298298298299297299299300299300299300300300300300300300300298299297298298297298298301300299297298297297298299298297298298299299299299300301300299300299300301301300300300299299299298297297297297295297296297296295295295297296297295297297298297297297297297298299299300300300300300300300299299299301301300300300302300301300300300301301301301301301302302302302302301301301299299299298298298298298298298297297297296299297299299299298299299299298298298298297297297298297297298298298298299299300299300300300300301301301301300300300300299299298297297298297297297296296296296296296296296296296296297297297297297296296296296295296295295294294293293293294293293294294293294293294293293293292293292292292292292292292293293293 286286286288286287285287288287288287288287289290287288290289289290288289288287288288286286286285285284284284283283283282277279281282282282283285999999999999999999999999999999999999999999999999999999999999286286286285284284284284284285285285285285285284284284284284284285286286287287287287287287287287287287287287287288287288288288288286287287287288287287287287288288288288289289289289289289289289289289289288289289289289289289289289289289289289290290290290290290289290290290290290290291290290290290290289289290290290290289288290290290290290291291290291291292292292999999999999287287287287287287288288288288288287287287287288289289288289289289289289290290289289290289290289288289287292300999999999999285286999999288289290292294999299288295292291999999288286287291286999290294291291291292292292293291290291291290290288289290289290290290290291290287289289288289288288287287287286287287286287287287287287287288288288288287289290289288287286286288288289288287287286287289291292288287289289290290291291291292291291292292292292292291291291289289289290290290290289290290291290293291291291290291291292292292293293294296296295295296296296295296295294295295295295295294294294293294294294294294294293294294294294295295294294295295296296296296296296296296296297297298297297297297297297297297297297296296296296295295295296296295295295295295295295295294295295295295295295295294295295295295295295296296296296297297297297297298299298299299298299299299299299300301301300300300296299299299300300301299297299299300299299299299299299299298298298298300299300299299300300300300301301300301299298299299299299299299298297299299300299298298300300300300301300300300301300300300299300299299298299298298298297297298297298297298298298299299299300300299299298300299299299300299299299297298297297297299299300299297298297299297298298298298298298299299299301301300302301300300301301302299299299300300298299298297297295297296296295295296295297297296295296297298298297298297298299300299300300300300300299299299299299300301301301300301301301301301301301301301301302301302302301302301301301301300300299299299298299298298298297298298298298299299299299299299299299299299298298297298298297297296297298298298299299300300300300300301300300300300300300300301300298298298297297298297297296296297295296296296297296296296297297297297296296296296296296296296295295294294293294294294294294293293294294293293293293293293293293292293293293292292292293 286287285289288288287286288288287289290290290291290289290289290289289289288288288288287287286286285285285284284282283282278281282282282282284286282283999999999999999999999999999999999999999999999999999287287287286286285285285285284285286286286285285284284284284284286286286287287287287287286287287287287287287287287287288288288288288288288287288288289288288288288288288288289289289289289289289289289289289289289289289289288289289289289290290289290290290289290289289290290290290290290290290290290290290290290290290290290290289290291291290291291290291292292292291293999999999999287288287287286286287288288288287287288286288289289289288288288289288290290289289289290290290289290290289292999999999999284283999999289289293292296999999999999293293292290291288290287288288291999289291292292290293293292292291290290290289287290290294290290290291291291288290290289289289288287286287287287286287286286286287287287288289290288288288290289288289288287287287288287287285286287289291291288289289287289290291290291291291291291291292291291291290291289288289289291290289290290290291292292293291291291291292292292293294294294295295294295295295295295295295295296296295295295295295295295294294294294294294294293293294294294294294294294295295296296296296296297297297296297297297298298297297297297297296296296296296296295295295296296295295296296294295295295296296295295294295296296295295295294295295296296296296297297298297297297298298299299299298299299298299299300300300299300299299299300298298300299299299300299300300299299299300299298299299299299300298300300299300302301302301301301301301300300300299299298299297297297300300298300301300300300301300300301300299300300300299300300299298298298298298298298298298297298298297298299300299299298299299299299298298299299299298299298297298298296298299299299298298297298297296296297298298298300300299300300298301302301301302302301300300299299299299298297298297297297297295295296295295296297296296296297298298297297298298299298299299299300299299299299299299299299301302300300300301301301300301301302302301301301302302303302302300301301301299299299298298298298298298297297298299299299300299299298298298299299297298297297297298299296296297298298298299300300300300300300301301299300300300301301300299299298298298298298298298296297297296296297297297296297297297297297297296296296296296296296296295295295294295294294294294294293294294294294294294293294294293293293293294293293293293294 285289286288288289288285288289288290290291291290290289290290290290289288287287287287287286286285286284284284284282282282281283282283282282283284280283283999999999999999999999999999999999999999999999285286287287286286285285285285285286286286285285285285284284285285286287287286287288288288288287287287287287287288288288288287288289288288288288288288287288288288288288288289289289289289289290290289289289289289289289289289289289290290290290290289289290290290290290290291290290291290290291291290290290290290290290291290290290290291291291290291292292292293294292294999294290288288288287287287287287288287288286286287287288288289289289289288288288290290289289289290290289291291291999999999999999999999286286999999291290292294999999999999999293290290291292287287291286284286291289290293999290292292291289290289290288286287289294294291290291291291291290291288290289290289287287287288287287287285286287288288287287289288288289289290289290288284289287287287287287285286287288289287288288289290292289291290291291290291291291291291291291291290288288288288289289289292292292292292290291291291291292292292292293294293294295296296296296295295295295296296295296296296295295295294294294294293293294294294293293293294294294294295294295295296296296296296297297297297297297297297296297297296296296296296296296296295295295295296295296295295295295295295295295295295295294295296296295295295295295295295295296296296297297297297298298298298299299299300299298300300301301301300301299299298300298300300299300300301299300299299300299298298299299299299299300298300301300300300300301301301301301301301300299299299298298298299299300299299299300300300300300300300300300299298299299299298298299298298298298298297298297298298297298298298299298299297298299298299298299299299297299299299298297297298298298298299299297297297296296297297298298298298298298298299298300301300301300301304303299299299299300299299299298298297297297296296296296296296295295296297297298296297297298299299299298300300299300299299299299299299300301301300300300300301301302301301302302302302302301303303303302301301301301300300300299298298299299298298299300299299299300299299298298299298297297297298298297297298298297297297298298299299299300300300301301301300301300300301301300299299299299299299300300298298299298297298297297297297296297297296297297297297297296296297296296296296295295295295294295294294294294294294294294294294294294294294293294293293293293293294 287289291289290286287287291289286293286290289290290290291289290290289287288288287287287287287286286285284283282282282283282283282282282282281281282282999999999999999999999999999999999999999999999999285286286286286285285285286285286286286285285285285285285285285286287287287287287288288288288287288287287287287287288288288288288289288288288288288287288288289289288289289289289289289289289290290290289289289289289290290289290290290289289289290290290290290290289289290290290290290290291291291291291291290290291290291291291291291291291291291292292292293294294293999292291290288288288287287287287287287288287287287287287287288288288288288288289290288289290290290290290290290290999999999999999999999286284284999999290288999999999999999999999289291292290290288290287286285285290290292297999288290292291289286287288287287289292295294294291290291292288288288288290290289288288287287287287287288286286287287288288287288286288289286290291290285284287287287286287289287287287287288288288288289290290291290290290290290291290291291291290290290290288287288288288291291290292292292290290291291291291292292293292293294294295295296296296296295296295295296295296296296296296296295295295295294294294294294294293294293293293294294294294294295296296296297296296297297297297297297296296297297296296296297296296296296295295295296296295295294295295294295295295294295295294294294295296296295295294296295295295295295296296296297297297297298298299299300299300299299300300300301299300299299300300300298300301299300300300300300300301298298299299299300299300300300300301300301301300301300301300300301300300300298297298298298298298298299300300299300300300300300300300300299299299300299298298298298297298298298298298297298296298298298298299298298297298299298299299299299298298299299298298297296296296298298298298296297296296296299297298297298298298298298301301301301301301301302303303301301301300300299299298298298298298297297296297297296295295296297297297298296297298298299299300300300300301300300300298299299298301302300301300300301301301302302301301301301302302302302302302302301300300300300300299300298299299299299299299300299299299299298299299298298298299298297297298298298298298297296298298299299299300300300301301301301301301301300300300300300300299299300300299299299299298298299298298297298297297297297297297298298298297297297296296295296296295295295295294294295293294295293294294294295294295294294294294294293293293293293293 289289291288288287288288285288290291290291290289290290290288289289288289288288288288288287287287286285284283283282282282282282282282281282280281282999999999999999999999999999999999999999999999999282283285285285285285285285285285286286286285285284285285285285286286286287287287287288288287287287287287288288287288288288288288288288288288288288288288288288289289288288289289289289289289289290290290290289289289289290290290290290290290289289290290290290290290289290290290290291291291291291291291291291291291291291291291291292291291291291291292293293293293294999999289289288289288288287287287288287287288287287286287287287288288288288288288287288288289290290291291290290291289999999999999999999999284287999999292295291999999999999999999999999289289290290289288286286999999290294294297292291291291288288286288289288288290292295295293295290292288289290290288288291289289288288287288288287287286286287288287288288288286288289289287288287285285285285286287288288288290287287285287288288289289291291291289290291291291291291291290291291290290290290288288291290291292292293293291290291291291291292292292292293294293294294295295296296296296297296296295295295296296296295295295294294295294294294294294293294293293293294294294294295294296296296296296296297297297296297297296296296297296296296296296296295295296295295296295295294294295295295295295293294295295294294295296296296294295295295296295295295296297297297297297297298298298299300300299299300300301300300300300300299300301300300301301301301301300300300300300300299300299299299300300300300300301300301300300301302301301301300299301300300300299300298298299298298299299300300301300300300300300299300299298298299299299298298298298298298298298297298298298298298299299298296298297296296298298298298298297297299299297298297298297297298298298297297296295296299299296297297300298298299301302301301301301302302303304304303302302301301300299299298298297297298296297296296295295297296296297297296296297298298299299299300300300300301300299298300299299301301300300299300301301301301301301302301301302302302302303302301301300300299299299299299299299300299299299299299300299299299299299299298299299299297297297298297298297298297299298299299299300300300301300302302301301301300301300300300300301300300299300299299298298298298298298298298297297297297297297297297298298297297297296297296296296296295295294295294294294294293293294294294294294294294294294294294293293293293293293 289294292291288289290288291290291292291290290293291291291290290289290289288289288288288288287287287286285284284283283283283282282282281282281281283999999999999999999999999999999999999999999999999999283284284284284285285285285285285285285285285285285285285285286286287287288288288288288287288288287287288287287288288288288288288288288288289288288289289289289289288288289289289289289289289289289290290289289289290290290290290290289289289290290290291290290290290290290290291291291291292292292292292292291292291292291292292291291292291293292292292292293294999999999288288289289289288288288288288287288287287287286287287287288288287287288287288287288288289290290291289290290289999999999999999999999286290999999291288289999999999999999999289288289289290289289287287293999999293294292999293295290289288288290290292291290290293296296296296293289287289286289289289288287289288288288288288287288287287288289288288287287287288288288288288287286285286286286286289289288286287288288288288289287286290291291289290290290290290290290290289289289289290289289290290291291292292292292292290292291291291291292293293293293294293294294295295296296296296296295295295295296295295295294294295293294295294294293294293293292293293294294294295295295295296296296296296296296297297297297296296297297296296297296296296296295296296295295295295294293295295295295295294295295295295294295296296296294295296296296295295295295296297297297297297297298298299298299300300300300300300300300299300300300300302301301301301301300300300301300300300300300300300300300300300299301301301300301301302303301300301301301300301300300299299297296299298299299299300300300301300300300300300300300299299299299299299299298298298299299298298298298298299298298299299298297298296296297298298298298298298298297297297297298298298298298298296295295296296298296297297299298298298300301301301301301301302303305304303303302300300300300300298298298297297297296298296296297296297296297297298297296297297298299299300300300300300300300299300299300299299301299299299301300301302302301301302302302301302301301302302301300300299299299298299299299299300299299298299299299299299299298298298298298299299298297297297297298297298298299299299300300300300301301301301301301302301301300301300300299300300299299299299299298298298298298298298298297297297297297297298298298297297296296296296297297296295295295294294294294295294294294294294295295294294294294294294294293293293292293293 295294293292290291291290291290291292291291291291291291291290290290290289289289289288288288288288288287286285285284284284283283283283282281283283999999999999999999999999999999999999999999999284999284285285285284285285284285285285285285285285285285285285286286287287287287288288288288288288288288288287287287288288288288288288288288289288288289288289289289289289288289289289289289289289289289290290290290290290290290290290290290289289289289290290291291290290290290290290291291291291292292292292292292291292291291291292292292292292292293293293292293293999999999999289289289289289289288287288287287287287287286287287287287287289287288288290288289287288290291290291290291291289289999999999999999999287288999287290288291289292296289288287288288288288288288289291292297999999999294293294293294292289290290291288286292288291293296294293294292291286288285286288285287286287287287288287287287287287287288289288288287287288288288288287286286286286284286286288288288286286287287288287289288286288290290290287289289289290290290290290289289288289289289288289290291291292292292290291291290290290291291291292293293293293293293294294295296295296296296295295294999294295294294294294293294294294294293293292292293293292293293293294294294295295295295296295296296296296296296296295296297296296296296296295296295295295295295295294294295295294295295295294294294295295295294295296296296296295295296296296295296296296296296297297297297297298298298298299298299298299299299299299300299300300301300301300299300300300302300301300300299300300300300300299299300300300300300301300301302302301301301301300300300300299299298298298298299298299299299299300300300300299300301300299299299299299299299298299298299299299298298299298299298298298298297298298297296297296297297298298297297297297297297297298297297296296295296296295297299299299299300300300300301300300301301301301302303304304303302301301300299299299298298297297297296297298297297297296296296297297298296297296299298299299299299299299301299299299300299299299298302299300300301301301301301301302302302301302303302301301300300299299299299299298299299299300299299298298299299299299299299298298299299298299299298297297297297297298298298299299299300301301302301301301302301302302302301301301301301300300299299299300300298298298298298298298298298298297297298297298297298298297297297297297297297297297297295295295295295295295295295295295295295295295295295294294294294294294293293293293 293292292291291290290291290291291291292291291291291292291290291291290290290290290289289289288288288288286286285285284284284283283283283283283283999999999999999999999999999999999999999999284284284285284285286285285285285285285286285285285285285285285286286287287288287288289289289289289288288288289288288288288289289289289289289289289289289289289289289289289289289289289289289289289290290290290290290290290290290290290290290290289289290290291291291291290290291290290291291291292292292292292292291292292292291292291291292292292293292293293293292292999999999999289288288288289289289288288288287287287287286286287287287287288289289288288289288288288289290290290291291290290289290291999999999999999999285999287287288289290289294292290288287286287287288288290292292294293290999999999291294293291288291291290290291291291291290292292293293288288289288289289287288287286287287286288287286286287287286288289288289288288287287286286287286285286285287286287287287290287287287286288286288286289289289290286287288288288287289289289289289288287289289289289289289290291291292291291289290290290290290291291292292293292293293294293294295295296295295295295295294294294294294293293293293293293293293293293292292292292293292293293293293294294294296295295295295295295295296296296295296296296295295296295295295294295295295295294294294294295295294294294294294293294294294294294295296295296295295295296295295295295295295296297297297296297297297297297298298298298298298298298298299299300300301299298299300300300300300300300300299299299300300299299298299299300299299300301300300302301301302302301300298298299299299299299299298298299299299299299300300300300300300300299299299299300299299298298299298299298298298298298298297298297297297297297297297297297296297297296297296296296296296297297297296297296296295297296295296298299299299300299300300300300300301301301301302303302303300301300300300300298298298298296297297298299297296296296296296296297296297297297297297298298299299300300300300299300300299299299300299301300300300300300301301300300301302302303302303303301300300299299299299299299298298299299300300299298299299300299300300299298299299299299298298298299298298298299299299299299300300299301302302303303303303303302302302301301301302303301302301301299300299299299298299298299298298298298298298298298298298298298297297296298298298297297297296296296295295294295295295295296296296296296295295294295294295294295294294294294294 293292292292292292292291291291292292291291290290291291291291291291290290290290289289289289289289288288287286286285284284284284283283283285284285999999999999999999999999999999999999999999285285285286285285285285285285284285285285285286286286286286286287287288288288289288289289289289289288289289289289288288288289289289289289289289289290290289290289289289290289289289289290290289289290290290291290290290290290290290290290290290290290290291291291292291291291291291291291292292292292292293293293293293292292292293293293293292293293293294294293293999999999999291290288288289289289288289288289288288287287287287287287289288288289289289290290289289290289291291290292292291291289290290290289999999999999999286287288289291291289289294288286287287286287288289290292292292291999999999999291294293289289290291290289289288289290286290291293288288288288288287287286285286286287287288287287287287287287287287288287288288287286286286286287285286287286286286286288286286286288286287288286286286288289288287287286286288287288288287288289289288288288288289289289289289291289289290290289289289290290291290291291292292293293293294293294294295295295295295295294294293294294294293293293293293293293293293292292292292292292292293292293294294294294295295295295295295294295295296295296296295295295295295295295295295294295294294294294293294293294293293293294294294293294293294294295295295295295295295295296295295295295295295296297297296296296297296297297297298298299298297298297298298298300299298299299299299299300299299300300299299299299299299299299298298299299299299300301300301300302302301301300300300300300300299299299298299300299299299299300300300300300300300298298298298298298298297298297298298298298298297298297297297297297297297297297297296296296297297296296297296296296295296297297296296296295297297296297297297298299299300298298299301300300300301301301302302303303303301300300300299298298297300298298298299299298297297297297297297297297299299297297298298299299300300299300300300300300299300301300300299300301300301301300301301300300302302302302304302302301301300300301300299299299298300300300300300299299300300300300300299299300299299299299298299299299299299299300300299298299300301302302302303302304303303302303303302302302301301301302301301301301300300301298299299299298298298298297299299299299298297297297297297298298298297296297296296296295295294295296295295296296296296296295295295295295295295294294294294294293 293292291292292291292292293292291290290290290289291292292291291291290290290290289289289289289289289288287285285285284284285283283284283284285286999999999999999999999999999999999285286286285286286286286286286286286285285285285286285285286286286286286287288288288288289289290290289289289289289289289289289289289289289289290290289290290290290289290290290290290290290290290290290290291290291291291291290290290290290290290290291291291291291291292292292292292291292292292292293293293293293293293293293293292293293293293293293294294294295294294296999999999999291290290290289289289288288288288289288288288287287288287287289288290291290290290290290291290289290291290293292293292291289291290291289999999999999286287288292291292292290291291290287288287288289289289291291290289999999999999999293999289288289289288288287289288289290285287286287289288289290288288286288287286286288288288287288286287286288287288287288287287286287287287287287286287285287286286286286287287287286286287285287286286289288286285287288287287288287287288289288288288288288288288288288289289288288289288289288289290290290290291291292292292293292293293293294295295295294295295294294294293294294293293293293293292292293293292292291291292292292292292293293294294294294295294295295294295295295295295296295295295296295295295295295295295294294294293294294294294293293293292292293294293294294294294295295295295295295295295295295294294294295295296296297296296296296296296297297297297298297297298297298298299301300300300300299299299300300300300300300300300299299299299299299299300300298300300301301302302302301301301301302301301301301301300300299299300299300299299300300300300300300300298298299298297298298297298298298299298298298298298298298298297297297297297298297296296296296297296296297297296296296297298296296297297297297297296298298298299299299300299299300301302302301301301302302301301300302301300300300298298297297297297299299299299299297297297297297297298299299298298300299299300300299300299300300300301299300301301301300299301301301300302301301300301302303303305303302302302301301301301300300299299299298298298299299299299300300300300300300300301300300299299298299299300299299300300299300298299299300301302302303303303304303302301302302302302302301302302301301302301302301301302299299299299298299298298298298299299298297298297297297298298298297296296296296296295296295294295296296296297296296296296296296295295295295296295295294294294294 293293293292295291292293292291290291291289289290291291292291290290290290289289289289289289290290289289288286287285286284284284284284284285286287999999999999999999999999289288288288287287287287287287286286286286286286286286286286286286286286287287288288288289289289290290290290290290290290290290289289290289289289289289289290289290290290290290290290290290290290290290290290290290291291291291291291290290291291291291291291291291291291291291291292292292292292293293293293293293293294293293293293293293294293293294294294294295295295295295999999999999292291290290290290289289289288288289289289288288288288287287287287288287289290289289290290290290290289289290289290292291291292290289288288290999999999286287288999999291292292291290291287287290290999286285289289290288288999999999999999999999290289289289289288289286285285285285285288288288289288288288287287288287289286287288286287286286286289289289287287287287286286287287287287287287286286286287286287287287288287286286287287286286286286289287287285287286287287286287289289288288288288289288288288288289288287288289288289289290289289290290291291291292293293293294293294294294295294294294295295294294294294293293294294294293292292293292292292291291291292292292292293292293294294294293294294294295295294295295295295294295295296295295295295295295295295294294293293294294293293294293293293294294294294294295294295295296295294295295294294294294294295295296296296297296296296296296297297297297297297297297297299299298299300300301301300299298298299300300299299300300300299300300298299299299300298297298299300301301301301301302303301301302301301301301301300300300299299300298300300299299299300300300300298298299297299298298299299297298299298298298299298298297298297297297297297296296296296296297297296297296296296296296297297296297297297297297297297298298298300301300299301301301302301302303303301300300301301301301300300300299299296299298298297299299299298298298297297297298298297298299298299299299299300299299300300300300301301300301301301300298299301301301301301301302301301301302302302301302302301301301300300300300299299299299299299299300300300300301300301301300301300300299299299299300300300300300300299299299300301301303302303302303302303302302302301302303302301301302302301301301302301302302302300298298298299298298298299299299298298297298298298298298297298297296297295296296297296295295296296296296296296296298297296296296296296296296296295295294294293 291293292294294293294294293292292292292291291291292292291291291291291291289290290290290290290290289289289288287286286285285284285285285285286287999999999999999999999288288288288288288288288288288288287287287287286287286286286286286286287287287288288289289289290290290291291291291291290290290290289290289289290289289289289290290290290290290290290290291290291291290290290290290291291291291291291291291291291291291291292292291291291291291291291292292292293293293293293293293293293293293293292292294294294294294294294295295295295295296999999999999291291291290290290290289289289288290289289289289288288288288287286290289288288288289289289290290289288288288289291290290290289288289289288288287288287286286287288289290291291290292292292290288292287286284285285288287287292999999999999999999999290291288288290290288286286285286285287289290289289290289287286288289289286286287286286285286286290288288289287287287288287286287286286286287287286286286287286286286287287287286286287286286285286286284284287286285286286286286288289289287287287288288288288288289290288287288289289289289289289290289290291291291291292293292293293294294294294293294294294294294294294293293293293293293293292292292292292292291291291292292292292292293293294294294294294294295294295294293295295295295295295295296294295295295295295295294294293294294293293293293293292293294294294294295295294295295295295295295295295294294294294295295295296296296296297296296296296296297297297296296296296299298299300300300300299299299298298298299299299299299299299300299299298298299299299297298298299299299300300300300301302301301301301301300300300300299299299299300300298299299299299299299299300299298298298298298298298298298298298298298298298298297298298297297297297297296296296296295296296295296296296296297297297296297297296296297297297298296299300301301301300301302302301301302303302301300299299301299301299301301300298298299299297297299299299297298298298297297298298299298298299299299299300300299300301300301301300300301301301300300300299300301300302302301302303302302301300302302300301301301301301301301300300300299299299300300300300301301301301301301300300300300300299300300300300300300300299300300300301302301301302302303303303302303302302302302303302301302301302302301300302301302301300300299299299298298299299299298298299299297298297298298297297298297297297297295296296296295296296296297296296296296296296296296296296296296296296295294294294294 294293292293293294294295293293293293293292292291291292292291292292292291290291290291291291291289288289290288287286286286285285286285285285286288999999999999999999288289288289289288288287288288288288287288288288287287287287287287287287287288288289289289290290291291291291291291291291291290290290291289289289289289289289290290290290290290290290290291290290290290290290291291291291291291290291291291291291291291291291291292291291291291292292293293293293293293293293293293293293293293293293294293294294294294294295295295296295295295999999999999290290290290290290290290289290290291290289289290290289288289289287287287288288288289288289288290290290289288288288290290288289289289288289290289288288287286286287288290291291291292291290291291291289289291999287289289999999999999999999999999999999999291287287293288285285286284286286287290290289290288288287288289289289288286287286284286287291287286286287286286286287287287287287287287287287286286286286287287286287287287287286287286286285284285288284287286284284288286288288288288288289287287288288288288287287288288288289289289289289289289289290291291291291292293293293293293294293293293293294294294293293293293293293293293293292292292292291291291291291291291291291292292293293294293294294294294294294295294294294294294294295295295295294294294294295294294294293294293293293292292293293293293293294295295295294294294294294295294294295294294294294294295295295296296295295296296296295296296296296296296296297298298298298298298298299299299298298298297298298299299298298299300300299299299299299300299298298298299298299298299301302302301301301300300300300299299299299299299300299300299299300299299299299299297298298298298299299299299299299298298298298298298297298297297297297297297296296296297296296296296294296296296297297297297299296296297297297297298297298301300300301301302302301301302302303301301300299301300299300300300298299299298297297297297299299298298299299298298297297298299298299300301298299299299300300301301301301300300301300300299300300300301300301301301301302302303302301301301302300300301301301302301301301301300300300300300300300300301302301302302301300300300301300300300300300300300300300300300301299301302301301301303303304303303303303302302302302302302302302302301301301301301301300300299299299299298300299299299299298298298298297297297297297299297297296296296296296295296295295296296297297296296296296296296296296297297297297296296295295294295 293294294294294295294294294294294293292291290292291292292292291291290290290291290291291290291290289289290289288287286286286285285286285285285287999999999999999287288289289288288288288288289289288288288288289289289288288287287287288288288288289289290290290291291291292292292292292291291291290290290290290290290289290290290290290291290290291291291291291291290290290291291291291291292291291291291291291291292292292292292292292291292292292293293293293293293294294293293294293294294294294293294294294294294294295295296296297296296999999999999291290290290290290291291290291290291291290290290289289289289288288288287287287289287288288288288290288287287288288288290289288288290288288289289289289287288286288289289290290293293293290288288291291290289291999999289289999999999999999999999999999999999286289290285286290287286286286286287288289290289288287288289287290289285287285286288285289287287288287287286286287287287287286287287287287286286286286286287287287287287287286287287286285285284287286286285285286288288287287287286288288287288287287287286287287287287288288289289289289289289289289290290291291291292292293293293293293293293293293293293293293293293293293292292293293292292292292292291291291291291291291292292292292293292293294294294294294294294293294294294294295294294295294294294295294294294293293293293293292292292292292292292293294294294295295295294294294294294294294294295294294294294295295295296295295295295295295295295295296296295296296297299298297297297298298298299298298298297297297299298298298298299299299298298299299299299299299299298297297297299299300300301301301300300299299300299299299299299299300299298299300300300299299299298297299298297298298298298299299299299298297298298298297297298296298297297297296297296296296296296296297296295297297297298297299299298297298299298298298299300301301300301302302302302302302301300301300299300300299300299299299298298298297297297297296300299298299299299299300298298298298299300301299300299299298299299300301301301301300300300299300300301301300302301301301302302303303301302301301300301301301301301301301301300300301301301300300300301301301302301301301301301300301301301301300301300300301301301300299301300300302302302302302302302303303302303302302302302302302302302302301302302301300300300299299300300300300299299300299298298298298297298298297297298297297296297296296296295296296296296297296296296296297296297296297297297297297297296296295295295296 293294294294295295293294294294294291291291291292291292291290292291290290291289290291291291291291291289290288287287286287286285285285286286286290286999999999999288288288288289289289289290290289289289288289289289289288288288288288288288289289290290290291291292292292292292292292292291292290291290290290290290290290290290290290290290290290291291291291290290290291291291291291291291291291291291291291292292292292292292293292293293292292292292292293293293293294294293294294294294294294294294293294294294294294295296297297297296999999999999290290290290291291292292292293292291291291290290290290290290289287288287288287287288287287287287289288288288288288289288288288288288289290290289289288288287287288289290292292293294295294292291292291291292292294999999999999999999999999999999999999999999287286288292291288286288285286289287287288288288287286286288285287286286286284284287285288287287287288287287288287287288288287288288289289288286287287288287287287287286287288287288288286286285286286286288284286286286287286286287286285287287286286286286286287288287287288289289289289290289289289290290290291291292292293292292293293292292292292292293293293292293293293292293292292292292292292291291291291291291291291291291291291292292293293294294294293293293293293293294294294294294293294294293294295294294294293293293292292291292292292292293292293293293295294294294294294294294294293294294295295294294294295295295295295295294295295295296295296294295295295296297297297298298297298298298298299298297297297299297298298298298299298300298298298297298298298298300298297298298298298299299300300300300299299299299298298298299299300299299298297298298299299299298297297298298298298299298300300300299299298298298298297298298298298298297297296297296297297296298298298298298297298297297298298299299298298299299299300299300301301301301302303303303303303301302301301302301299299299299299299299298297297297297298299298299299299299299298299298298299297298299300300300299300299298298299299299300301300300300300300300299300301301302302301301302302302303301302302300301301302301300301302301301300300300301301301301301301301302302301302301301301301301301301301301301302301300301302301300301301301302304303302304302303304304303303302303302302302302302302302302301302300301300300300300299299300299299299299299299298298298297297297297297297298298296296296297296296295296296296295296297297297297297297297297297297297297296296296296295295295 293294294295294294294293294293292292292292292291291291292290290290290292290291291290290290289290290290290288287287286287287285286286287288290290999999999287288288287288289289289289290290290289289288288288289289288288288288288289289289289290290290290291291292292292292292292292292292291291291291290290290290290290290290290290290290291291291291291291291291291291291291291291291291292291292292292291292292293292292292293292291293292292292292293293293293294294294294294294294294294294294294294294294295295295295296297297297999999296295293292292291292293293293293293293293292292291291291291291290289289288288287287287287286289287286288289288289288290291291290289290289290289289289288291287288290290291290293999291298296295298295292291293294295295298999999999999999999999999999999999999999292288289289287289288287288288288289288288287288289288290288287285283287287287287288285285287288288288288288288288288288288289288288288289289289288288287287287288287288287288286287288287287286289287286286287286287286286287286288285287286285285286286286286287287286288288288289289289289289289290289290290290291291291291292292292292292292292292291292292292292292292292292292293292292292291291291291291291291291291291291291291291291292292292292292293293294293293293293292293293293294293293293293294293294294294293294294293293293292292292292292293293293293294294294294294295295294293294294294294294294294294295295295295295295294294294295295295295295295295296295296295297298298298298298298298298298297298298297297296298298298299298298300299297297297298298298297298298298298298298297298299299300300300299299299298299299298299299300298298299297297298299297297297298298299298298298298298299299300298299298298298298298297298298298297297297296296296298299298298299298299298298297299299298299298298298301301299297299298300300300301302302303303304304302302302300301301301299299300299299299298298298298298298298299298299300300300300300299298296297298299299300300300300299299298298298299300300300300300299300300300301301301301302301301301302301302302302301302301301302301301301302302302301301301301301301301302302302302302302302302301301301301301300301301302301302302300302302301300301300301302304303303302303303304304304303303303302301301302301302301301301301301301301301301300299300300299299298299299298298297297297297297296297297297296297296296296296296295295296297296296297297297297297297297297296297296297297296296296296296295 295293294293293293292293291291292292291291291290289290294292292290290291289290289291291288290290291290289289289286288287287287287287288288289288288289288288288288289288289289290289290290290290290290289289289289289288289289289289289289290290291291291291292292293293292292292292292291291291291291291290290290290290290290290290290291291291291291291291291291291291291291291291291291291291292292292292292293292292292292293294293293293293293293293293293293293294294294294294294294294294294294295294295295295295295296296297999999999295295296295294294295295294294294293294293292292292290291291289290290289288289288289288288288288286288288290288289289289290290290291290291289290289288288289288288288291289290999999999999295293295294292292296999296297298999999999999999999999999999999999999999293290289288288285290291288288285289289288288289288287289287288286285287284285286287286286287288288288288288289289289289288288289289288288287288289288288288288287287287288288287289287287287289287286286288286285285286283286283284284286286285285285286286287288287287288288287288288289289288289289289289289290290290291291291290291291291292291291291292292292292291292292291292292292292292292291291291291291290290291290291291291291291291292292292293293293293293293292293293293293293293292292293292293293293293293293294293292293292292292292292292293293293293294294294293294294295294294294294294294294294294295295295295295295294294294294294295295295295294295295295296296296297296296296297297298298298298298298298298297296298298298299298299298298298299299299296297298298297297297297297298299298300300300297299299298299299299299299300298299298298297298298297298298297298298299299297298298300299299298298299299299298297298298297298297297297297296297298299299298298298299298298298297298299299299298298298301299298298299299299300301301301302302302303303302302301303302302300300300299300299298298298299299298298298300300299300300300299299298297297298299299299300300300299298299299301300300301300300300299300300301301300301301301302302301301301302302302302302302302301300301301302302302302301301301301302302302302301302302303303302302301302301300300300301301300301301301302301301300300302302302304303304303303304304304303303302302302301301302301302302301301301301301301301301299300300299299298299299299298298298298298299299298297296297297297296297296296296296296296296297296297297297297297297297297297297297297297296296296295296296 999301292293293293289290291291292291291291292292290292291291289291291291292291290290290290290289291290289289289288288288288288288287288288288288288289288288288288289289289290290289290290290290290290289289289289289289289289289289289290290290290291292292292292293293293293292292291291291291291291291290290290290290290290290290290291291291291291291291291291291291291291291291292291291292292292293292292292292293292293294294294294293293293293293293293294294294294294293293294294295295295295295294295294294295295296297297999296297295297297296296296295295294294294293292293292292292290291291290290290290290289288289289289288288288289289289288289289288289289290289290291290289289289289289288290288999999999999999999999999294293291291293999999999999999999999999999999999999999999999999999999999999999289287285286288288288290287287287288288288287288288286286285286286285286285286287287287288288288289289288289289289289289288288288288288287287287287288286287287288288286287287287286288288288287287286285286285283283286285286284285284286286286285286287287288288287288288288288288288288288289289289290290291291290289290290290290291290291291291291291291291292292292291292292292291292291291291291291290291290291291291291291291292291292292292293293293292292292292293293292292292293292292292292293293293292292293293291291292292291291292292292293293294294294294294295294295294294294294294294294294294295295295295295295294294293293294294294294294294294294295295295296296296296297297297297298298298298298298299299299299299299299299299297297298297299299297297296297297296297298297298299298298298298297299299299299299299300299300298298298297297297296297297297298297299299299298298298298299298298299299299298298299299298298298297297297297297297297298297298298298298298298298298299299298298298299299300299299299299298298299300300300302303302303303302301303303302301300300300300300299299298300298299298299298301300300300300300300299298297298298298299300300300299300299299299300300299300301301301301301301301300299301300301301300302302301301301301301302302301303302301302301302303302302302302302302302303302302303303303303302302302302301301300301301301301301301301302301302300301301303303304303303304304304304304304303302302301301302302302302302302301302302302302301301301300299299299299299299299298299298299299299298298298297297298299298297295296296296296296296297296296297297297298297297297298297297296297297296296296296296 999999289292293290290291291292292292293293291291289290291292291291292291291292292290290290290290290290290289290289289289289289289288288288288289289289289289289289289290290290290290290290290289290290289289289289289290290289290290290290291291291292292293293293293293293293293292292292292292291291291291291291291291290291291291291291291291291291291291291292291291291291292291292291292292293293293292293293293293293292294294294294294294294294294294294294294294295293294295294294295295295295295295295295295295295296297297296297297297297297297296296294295295296294293293293293293293292292291291291290290291290290290289289288289288289289288288288288288289290289290289289290290290291292290290290290999999999999999999999999290288289290289999999999999999999999999999999999999999999999999999999999999293289290289290289290288288287287288287287288287287287286284284286286286287286287287287288288288288288289289289289289288288288288288288288287287287287287287286287287288287287286286285288287287287286285286284285285283286284285283284285285285286285285286287287287287288288288288288288288288289289290290290290290290290289289290290290290290291291290290290290292292291292292291291291291291291291291290291291291290290291290291291291291292292292292292292292292290292292292292292292292292292292292292292292292292292291292292292291292292292292292292293293293293294294294294295294295294294294294294294294294295295294294294293294293293294294294294294294294294294295294295295295296297297297297298298298298298298299298298299299299299299299299298298298298299296297297297296295298298297298298299298298298298298299299299299299300300301298298298297297297297297297297296296298300299299298298297300299299299298298298298298298297296297297297297297297298297298297298298298298298297298298299297298299298298299298299299299298297298299299301301302302302302302302301302301301301300300300300300300299299300299299299299299300300300300300300300299298298298297298300300300301300300299299299300300300300301301300300301301301301300301301300301301301302302301302301301301302302302301302301302302302302302302302302302302303303303303302302303303302302302301301301301301302302302302302303303302301301301302302304303304304304303304303302302302302302302302301302302302301301302303300300300300300301299299300299300300300299300299298299299299298297297297297297298298296296296296297296296296296297297297297298298297298298297297297297297297297297297296 999999999290290290289290291291291294294293291291293293291292292292291290291291291291291292291291291291291291291290290290290290290289289288289289289289289289289290289290290290290290290290289290290290290290290290290290289290290290290290291291292293292293293293294293293293292293292292292292291292291291291291291291291291291291291291291291291292292292291292291292292292292292292292293293293293293293294293294294293295295294294294294294294294294294294294294294294295295295295295295295295295295295295295295295296296297298999297298298299298297297296296295295295294294293292293293292292292291292291291290291291290290290289288289288289289288289288287288288289288289288288288290290290291289291291292999999999999999999999999288288289292999999999999999999999999999999999999999999999999999999999999999293292291292292290290290289288288288288287287287287287285285283287284283286286286287288287288288288289289288289289289288288288288288288287287287287286287286286287287287287289287286286285286286286284284284284284284284285283285285286285287285285285285286287287287287288288287288288288288288288289289290290290289289290289289289289289289290290290290290291291291291291292291291291290291291291291291291291291290290290291291291291291292292292293292291293292291291292292292292292292291292292292292292292292291291291291291291291290291292292292292292292293292293294294294294294294295295295295294294294294294294294294294294293293293293293293294294293293293294294294295295296295297298297296296297298298297297298298297298298299298299298298298297298297297295296297295297296296298298297296298298298297296298297298298298298299299300298298298298298298298298297297297296296298297300299299298297299299299298298298298298297297297296297297297297297297296297297297297297297297297298298298298299300300299299300300299299298299297298299300299301301302302301302301302302301300301300300300300300300299299300299299300300299300300299299298299299299297298298298298299299300301300300299299300301301301301301300301300301301300300301301301300301300300300302301303300301301301301303302303302302302302302302302303302303303303303303303302301302302303302302302302301302302303302303303303303303303302302301301302303303303304304303302302302303302302302303302302302302302302302302302301301300300301300300300300300300300301300300299299299298298298298297296297298298297296296296297296296296296296297297297298298298298298298298297298297297297297297297297 999999999290291291290290291292293294292292292290292294292293293292293291291291291292291292293292292292291291291291291291291290289289289289289289289290289290290290290290290290290290290290290290289290290290290290290290290290290290290291291292292293293293294294294293293292292292292292292292292291291291291292291292292291291291291291291291291291292292292291291292292292292292292292292293294293292292294294294293295295295295295295294294294294294294294294294294295295295295295295295295295295295295295294294295296296296297298299299299299298297297295296296294295294294293294293293293292292291292291291290290290290290290288288289289288289288288288288287287288290288287288286288288289291290292287999999999999999999999999999288285999999999999999999999999999999999999999999999999999999999999999999999999290292293293291290290289288288289288287286286287286285284285284285285286286287287288288287288288288289288288288288288288288288288287287286287288288288288287287287287286286286287289287287288288287286285284283285285285284284285284287286286285284285286286286286287287287287287287287287287288288289289289289289289289289289289289289289290290290290290290291291291291291291291291290290290291291291291290290290290290290290290290291292291292292291291292292292291292292291292291291291291291291291291292291291291290291291290291291291291291291292292292292291293292293293293293294294295295295295294294294294294294294294293293293293293293293293294293293293293293293294294295296297297297297296297297297297297297297297297298299298298297298298297299299296297296298297297297297299298297298298297297297297297297297298298299299300301299300299298299298298298297296298298297297299299299299298298300299298299298299297297297297297297297298297297296297297297297297297296297298297298298298298299300300300300300300300299298298298298299298299300300302302302302301300301301301301300299300300299299299299299298300300300299300300299297298298299298298298298298299299301301301301301301300300302302301301301300300300300301301302303302301301301301300302302301302301301301302303303303303303303303303303303303303303304304304304304303303302302302302302302302302301301302302302302303302303303303301301301301302302303304303303303302302302303303303303303303303303303303302303302301301301301300300300300300300300300300300300299299299299298298298298298296296298298298298297297297297297296296297297297298298298298298299298298298298297297297297296297297 999999999291292291291290292293294294294295294292292292293294293294292292292293292291293293293293292292291291291291291291290290290291291290290290289289290290290290290290290289290289290290290290290290290290290290290290290290290291291291292292293293293294294294293292293292292293292292292292292292292292292292292292292292291292292291291291291291292292292292292292292292292292292292292293293293293293294294294293293294295295294295295295294294295295294294294295295295295295295295295295295295295294294294295296297297298297300300299300299298297296296296295295294294294294294291292291292292291292292290290291290290289289289290290288289288288287287288288288288289288288287287288282288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292293293292291290289288289289288287288286285286286285286284285285285287287287287288287288287288288288289288288288289289288287287287287288288287288286288286288289288288289288289288286288286287284284284284285285284284284284285286285285285284284284285286286286287287287287287287287287287288289289289289289289289289289289289288289289289290290289290291290291290290290291291291291291291291290290291290290290290290290290292292291291291291291291291291291292292291291291291291291291290291291291290290291290290290290290290291291291291291291292291292292292293293292293293293294294294294294294294294294293293294294293292293293293293293293293293293292292292293294294295295296297296296295295295295296296296296296297297298298298295298297298297297296296298298298298298298296298298298298297298298297298297297298299298298299299300300300298300299298298298298299298298297299299300300299298299299297298298298298297297297297297298298298297296296297297297297297297297298298298298298299299300301300300300298299298298299298298299300298299299302301302302301300301300301300300298300300300299298299300299299301302300298298298298297298298299299298299299299300301301301300301300301302302302302303301300300301301301301302302300301302302302302303302302302301301302303304303303304304304303303303304304304304304304304304304303303303303303303302302302302302301302302303303303303303303302302301302302302302303303303303303303304304304303304304303303303304304303303304303302301300301302301301300300300301300300300300300300299299299299298298298297297299298299297298297297297298298297297297298298298298298298299299299298298297298297296297297297 999999999295293293293292293293294295295295294293293293293294293293293293292293293293293293293293293292292292291291293293293292292292291291291290290290290290290290290290289289289289290290290290290290290290290290290290290290290291291292292293293293294294293293293293293292292293293293293293292292292292292292292292292292292291291291291291292292292292292292292292292292293292292292292293293293293293294293293293293293295295295295295295295295295295295295295295296295295295295295296295296296295294294295296298299302999299300300299299299298298297296296296295294294294294292292291292292292291292292291290291291291289289289289290289288288288288289289289288288288289287284286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294293292291291290289288289289288288287286286285286285286286286285286286286287287287287288287287288288288287288288287288288287288287287287287287287287288288288288287288289288289290288289287286285284285285284284284284284283285284284284284283283284285286285286287286286286287287287287287288289290289289288288289289289289289288289289290290290290290290290291290291290291291291291291291291291290290290291291290290291291292291292290291292292291291291291292291291291291291291290290290290290290290290290291290290290290291291291291291290291291291292292292293293293293293293293294294294294294294294293293293293293292292292292292292292293293293293293293293294294294294295296296297296296295295295295295295296296297297297297298297297297298296296297297298298299298297298298298298299298298298298297296297297298298297299298299300300300300300300298300298299299298299299299300300299298298299299298298298297298296296298297298298299298297297297297297298298298298298297298298299299299300300300300301299299299299300300299300299299299299301301300301301301302301300300300300300300300300300299300299299300300301300298300299299299298299299299299299299300300300302301301301301301302302303303301301301301301301301301301301302302303302302303303303302302302302303303303304304304305304304304303304304304304304304303303304304303304304303303302302302301301301302302302303302302303303302301302301302302302302304304303304304303303304303304304304304304304304304303303302302302301301301301301300301301301301300300300300300300299299299299299298298296298299298297298298298298298298298298298298299298298299299298299299298299298298299297297297297 999999999295293293292293294295295296296295295294294294294295294294294294293292293292293292292292292293292292292292292292292292291291291291291291291291291290290290290290289289289289290290290290290290290290290290290290290290291291291292292293293294294293293293293293293293293293293293293293293292292292292292292292292292292291291292292292292292292292292292292292293293293293292292293293292293293293293293293293293295295295295295295296295295295295295295295295295295295295295296296296296295295295296296296297298301299300300300298299299299298297297296296294294293293293292292293293293291291291291291291290290291290290289289290289289288288288289289290290289289288288288287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293293291291290290289287289288288287287286286285286286287287286286287287287286287287287287287288288289289287287288287287286287288288286287287287288288288287287287288288289288288286286286287286285285285284284284284285283284284284285284284284284284285286286286286286287286287288287288288288288289289289289288288288288288288288288289289290290290290290290290290290291291291290291291290290291291291291290290290289289289291292291291291292292291291291291291291290290290291290290289289289289290290290290291290290290290290290291291291291291291292292293293294293293293293292293293292294294294293293293293293293292292292292292292292292292292292293293293294294294294294295296296296295295295295295295295295295295296296297298298297297297298296296298297298298298298297297298298299299298299298298298297297297297296299299297298299299300301300299300300298299300300298301301300299300300299299299298298297296298298297297297298298299298298297297297297298298298298298298298299299299300300300301301301299300299299300301302303302299299300300301299301301301301301301300299299300298299300300300300300299300300300300300301301300300300298299300300300300300300300301302301301302302303303302302302303302301301302301301301301302301303303305303304303303303302303303304304304304304305305304304304304304304304304304304304304304304304304303303301302302301301302303302302302302302302301302302302301303303302303303303303303303304303304303304305305305305304304303304302303303302302302302302301301301301300300301300300299300300299298298300299298297297298297297297298298297297297298298298299298299299298299299298299299299299299298298298297297297 999999999999294295293293295295295296295295295295295294294295295294294292293293292293292292292292292292292292293292293292291291292291291291291291291290290290290290290290289289289289289290290290290290290290290290290290290290291291292292293292293293293293294293293293293293293293293293293293293293293292292292292292292292292292292292292292292292292292293293293293293293293293292292293293293293293294294294294293293295295295295295295295296295295295295296295296296296295296296296296296296297296296296297298298299299300300300300299300300299298297296295295295294294294293294292292293292293292291291290290290291291291290289290291289289289288289289289290289289289287288287999999999999999301299999999999999999999286290291999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292290288288290289288288287288287287287286286286286287287287287288288288288288287287287287288287288288288288287287287287287287287287287287287287287287287287286287288288288288286287287286286285285285285285284283284283284283284284284284285284284285286285286287286287287287288288288288287287288288289287288288287287288287288288289289289290290290290290290290290289289291290291291290290290290291290290290290290289289290292291291291292291290290290291291291290290290290290289289288288288289289289289290290291291290290290290291292291291291291292293293293294293293293293293293293293294293293293293293294293292291291291291291292292292292292292293294294294294294294295295295295295295295295295294294294294295295295297298298297296296296295297298298298298298297298298297299300300298299299298298297297297298298299298298298298299299300300301300301300299300300301300300300298299299299298299299298298298297298297298299298298299299299298297297297298299298297297299299300300300299300300301301301301300299299299302299299301299299299300300300301300300301301301300299300299299300299300300301299299300301300299300301301301301301300300300300300301301300301302302303302302303303304304303302303301302302302302302301302304302302303304303303303303304303303304305304304304304304305304305304305305304304304305305305304305304304303304303303303302302302302303303302302302303302301301303302302301302302303302303302304303303302302302303303303304305304304303302302302303303303301302302301302301300301300300299300300300299299299298299298297297297296297298298296296296297297298297298298298299299298298299298299298298298299298298297297297297 999999999999292294294296293295295296295296295295295295295294294293293292292292293291291291291291290291292293293292292291292291291290291290291290290290290289290290289289289289289289289289289290289290290290290290290290290291291291292292292293293293293293294293293293292293293293293293293293293293292292293292292292292292292291291292292292292292292292292293292293292293293293293294294293294293293294294294294293294295294295294294295295295295295295295295295295296296296296296296296296297297297297296297297298299300300300300300300301300299299298297296295296295294294294293292293292293292292291291290290291292291289288287288289288288289289288289289289289290289289289289999999999999296294294999999290287999999291291292290292291999999999999999999999999999999999999999999999999999999999999999999999999999289290291289288290288288288288287287286287286286287286287287287288288288288288287288287288288288288288287287287287287287287288288288288288288288287287287287287287288288287287287287287286286285286285285285284284285285285283286284283284283283283282285285286286287287287287287288288288289289288288289288288288288288288289288288288289289289289289290290290290290290290291291291291291290290290290290288288289289289289289290291292291291291291290290291290291291290290290289289289288288288289289288288289289289290291290289290289290291291290291291291292293293293292292293293293293293293293293293293293293293292291291290291291291292291291292292292292293293294294294294294295294294294294294294294294294294294294295295296296296297296296297296297297299298298298298297296298299299299298298298299298297298298299299298298298298299299299300301300300300300300301300301301300302299299299299298298298297298298298298297297298299298299299299298297297297298298299297297299299300300300299300301300300303301299300300302302299300301300300300300300300300300300301301300299300300299299301300300300301300300300300299300300301301301301301300300300300300300301301301303303304303303303303303303303303302303303302302301302302302303301302303304302303304303303303304304304303303304304304305305305305304304305305304305305305305304304304303303303303303302302302302302302302302302301302301302301302302301302302302302303302302302302302302302302302302302302303304303302301301301301303303302301302302301301301300299299300300300300301299298299299298297297297297296298297297297297298299298298299299298299299299299299299298298298298298298297297297297 999999999999292296296295297296296296296296295294294295295293292293292292291293293291291291290290291291291292291291291291291290290290291290290290289290290290290289289289290289289289290290290290290290290290290290290290291291291291292292292293293293294293293293293292293293293293293293293293293293293293293293292292292292292292292292292293293292293293293293293293292293293293294293294293293294293294294294296294294295295295295295295295295295295295295295295296295296296296296296297297297297297296297296297299301301301300300300300301300299299298297296296296296295295296295293293293292291290290291290291290291290290288288289290288290289289288289288290289290290290289289999999999294292292292999999289999999999292291291290290290294999999999999999999999999999999999999999999999999999999999999999999999999999289290290289289288287287288288287287287287286286286287287287287288288288287287288289288289288288288288288288287287287287287288287287288288288287287287286287287288287287287287288287286286286286286285285284285285283284286284284284284284284285281285286286286286287286287287288288288288289288288288288288287287288288288288288289289289289289290290290290291290290289291291291291291290290290290290289288289289290290290291291291291291291290290290290291291291291289289289289288288288288288288288288289288289289290290290290290290291290290291290291291292292292292292293293293292293292292292292292292292291291290290290290290291291291291291291292292293293293294294294294295294294294294294294294293293293294295295295295296296296296296297297297298297298298298297298299299298298297297299299299298297299299298298298299298299298299300300301300300300300300300302301301299300299299299298298298298298298298298298297298298299300299299299298297297298298298297298299299299300300300300300300300299299299299300300298299301301300300300300300300300300300300300300300299299299300300300300301301300300300299299300300300300301300300300301300300300300301301302303304304303303303304305305303303303303302303303302302302303302302305303303304302302303303304303304303304303303303304304305305305305304305304304305304305304304304305304304304303303303303302302302302302301302303303302303302302302302302302302302303303302302303302302301302302302302303304303303302302302301301301304303303303301301302301301301300300300300301301301299299299299300299298299298296298299298297297297299298299299299299298298298298298298298298298298298297297298297298 999999999999999295297295296296297296296296296295295295294294293293293293293293291291290291290290291291291290290291290290290290290290290290290290290289290289289289289289290290290290290290290290290290290290290290291291291291292292292292293293293293294293293293293293293293294293293293293293293293293293293293293293293292292292293292293293293293293293293293293293293293293294294293293293293293293293293294295294295295295295295295295295295295296296295296295295296296296296296297297297297297297298297297298300301301302301302299300300301300299298297296296296295296295295295294294292291291291291291291290290290290288288288288288290290288289289289289289289290291290290290999999294292292292292291291290289290999290291291290289290293999999999999999999999999999999999999999999999999999999999999999999999999999289290289289289288288288288288287288287287287287287287287287287287287288289288288288288288288288288288288289288287287287287287288288288288288288287288288287287286287287287287286287286286286286285285285285285285283284284284284283284284283999284285286286287286287287287287288288288287288288288287288287287287287288288288288288289289289289290290290290290290290290290291291291290290290290290290289288288287288290291291292292291290291291290290290290290291291290290289289288288288288289288288288288288289288289289290290290289290290290290290291291291291291291291292291291291292292292292292291291291290290289290290290290291290290291291292292293293293293294294295295294294295294294294294294294293293293294294295296294295295296296297296296297297298297296297297298298298298298298297298298298298298299298298299300299299298299300300301300300300300301301301300299299300299299299298298298299299299299298298298298299299301299298298298297297298298298298298299299300300300300299299299298299300298299299299298299301301301300301300300300300300300300300300300300300300301301301300300300300301300299300299299300300300300300300300300302300300301301301303304304303304304304305305303304303303303302301302302302302302302302302303303302302303303303303303303303304304303304304305305305305306306306306305305303303305304305304305305304304304302303302303303302303302303303304303303303302302303302302303304303303303303302302302302302302303303303303302302303303303302302303303303303301302302302302302301301301301300301300300300300300301300299299298298298299297298298297298298298299297300298298298298298298298297297297297297298297297297 999999999999999295296297297297297296297297297296296295295294294293293294293292292292292292292291291291290290290290290289289290289290289289289289290289289289289290290290290290290291290291291291291291291291291291291291291291292292293293293294294294294294294293293293293293293294294293293294293293293293293293293293293293293293293293293293293293293293293293293293293293294294294294293294294293294293293295294295295295295295295295295295295296296296296295296296296297296296297298297298297297297298298299300301301301302302301301301301300300299298297297295295296297295295295294292292292291291290290291290289289289288288290290289289289290289290290290290290291291291290999999999999292290289291999289290291290290289289290290288291293291999999999999999999999999999999999999999999999999999999999999999999999999290290290290289289288288289287286288287287287287287287287288288288288288288289288287288288289289288288288288287288288286286286287288288288287287287287287286286285286286286287287287287286286286286285285286286285285285285285283284284284284284285286286286286287286286287287288289288288287287287287288288287287288289289289289288288290289289290290290289290290290290291291291290290290289290290289289289289289289289290289289291291290291290289290290290290291290290288287289287288288288288288288288288288288289290290290291290289290289290290290290290290291291291291291291291290291291292292292291291291290290289289289289289288289290290290291292292293293294293294294294294294294294294294293293294293294294294294295295294294295295296297296296296296297297296295295298297298299298299299298299298298297298299299299299300300300298300301300300300301301301301300299299300299299299299298299299300299299299299298299299299299299299299299298298298298298297299299298299299300300300299299299299299299299299299298298300301301301301301301300301300300300300300300301300301301302302301301301301300300300300299299300299300300300300299301301300301301300301301302304304305304305305304305304303303303303303302303302302302302302302302303303302303303303304303303304303303304304305305305305305305306306305306306307307306306306305306306305306305304302302303303304304304304304304304304303303303304305304302303303303303303302303302302303303303304303303303303303303304304303302302305303301302302303302302302301301302301300300301301300301300300300297298298299298298297297297297298299298298300298298298299299299299299298298297297297297297297298 999999999999999295295299299298298298298298297297297295294295295294293293293293293293292293293291291291290290290290290289289289289289289289289290290290290290290290290290291291291291291291291291291291291291291291291291291292292293293293293294294294294294294293293294294293294293294293294294294294294293293293293293293294293293293293293293293293293293293293293293293294294294294294293294294293293293295296294294295295295295295295296295296296296296296296296296297297297297298298297297298298299299300300301301301303303999999302300301302300300297296296296296295295293295294293292292291290291291291292291290290289290289290290290290289289288291289292291291291293291289999999999293292291291291291291292292292291290290290291291293293291999999999999999999999999999999999999999999999286999999999999999999999999290291291290289289288288288288287290289288289288289288289288289288288289288289288287288289289289288288288288287288286287287287287287287287287286286288286286286286286286286286287287286286287287287286284285285285286285285284284284283283284285286286286286286287286287287288288287287287288288288288287287287287289290289289289289289290289289290290290290289290290290290290290290289289289289289289289289289289289288290290289291291291290289289290290290291290289289289288288288288288289288288287287288288289289290290291290290290291289289290290290290290291290291290290290290289291291291291291291291290290290289289289289288288289290290290291291292293293293294293294294294294294294294294294294294293294293293294294294294294294294296296295296296296297296295295296296297297298299299298298298298298298298299299299300300301300300299300300301301301301299299299299299299300300299299299299299300300300300300299300300300300300300300299299298298299298299299299298299299300300300300300300299299299300300300299300300301301300301301301301301300300300301301300301301300301302301301301300301301301301300300299301300299301300300300301300299301301301302303303304305307306305305304305304304303303303302302303302301302302303303302303304303303304304304304304304304303303305305305305305306306305305305306307307307307306306306305305304304305305304304305304304304304304304305304304304303303304303303302303303304303303303303303304303303304304303304304304304304304304303302302303301302302302303303302301301301301300300300300299300301300300299298298299299299298298298298298299299299299298298299299299299299298299297300297297296297297298297 999999999999296296297298298298297299298298297297297299296296294294294294294295292293293292292291291291290290290289289289289289289289290290290290290290290290290290290291291291291291291291291291291291291291291291292292292292293293293293293294294294294294294294294294294294294294294294294294294294294294293293294294294294294294294294293293293294294294294294293293294294294294294294294294294293294295296296296295295295295295295295295295296296296296296296296297297297298298298298298299299300300299301300302302301301301999301301299300301299298297297295296295294294293295295294293293291291290290291291290289289289289289290290289289289290291291291291291291292292290999999999293294291291291292292292293293292291289291292292293294296999999999999999999999999999999999999999999999999287289999999999999999999291292293292290288288288288288289288289289289289290290288289288289289288289288288288288288289289289288288287288288287287286288287287287286286287287286287287287287286286286286287287287287287285286286285285285285285286285285284285284283284285286286286286285287287286287287287288287288287288287288288288288287288288290290289289289289290289289289290290290291290290290290290290289290290289289289289289289289290290289289290290290290290290290290290290290290289289289288289288288287288288288288287287288288288289290290291290290290289289290290290290290291291291291291290291289289291291291291291291291290290290289289289288288289290290290291291292293293293294294294294294294294294294294294294294294294293293293294293294294294294295296296296296296296295294295296296296297297297298299297298297299298299299299299299300300301300301299300300300301301302300299298299299300299299299299299299300300301301301300300300300300300300300300300300300299299299299299299299299300300300299300300300300300299300300300301300301301300300300301301301301300300301301301300300301300300301302302300300300300300300299299300299300301301299300300301300300300301301302303304305306307308307307306305303304304304303303302302302302302302303303303303303304305304305304304304304304304305305305305306305307306306306307307306306307306307306305306306305306305305305305306305304304304304304305304305305304304304303303303303303304304304304304304303304304305305304304304304304305305305304303303302302301301302302302301301301301301301300300299299300300301300300299300300300299299299298298298299299299299298299299299299299299299299298299298298298298298298297 999999999999999999999299297297298300296296297297296297295294294294294294295293296294293293293291291290290289289289289289290290290290290290290290290290290290290290291291291291291291292292292292291292292292292292292293293293293294293294294294294294294294295294294294294294294294294294294293294294294294294294294294294294294294294294294294294294294294294294294294295294295295294294294293295295295295295294295295295295295295295295295296296296296296296296297297298298298299299299299300300301300300301302301301301301301302302299301301299299299298297296296296294295294294294293293292291291289290289289289289289290290290289289289288289290290290291291291292291291291999999999296295293290292293294293295294292290289290292293293291999999999999999999999999999999999999999999999999290999288290999999999999291291292292290289288289289287288288288288288289289288288289289289289289289289289288288288288288289289287287288288288287287288288288287287287287287287287288288288287287287286286287287287287287286287286286285285285285285284285285285284283285286286286287287285286287287287287287287287288287288287287289288288288289289290289288289289290290290290290290290291290290290290290290290289290290290291290289289289289290290290289291290289291289290290290291291290290289289289289289289288287288288288288288288288289288289289290290290290290289290290290290291291290291291290290290290291290291291290291290290289289289289290290289289288289290290290290291291293293293294294294295294294294294294294293293294293295294293293294294294294294295295295296296296296296296295296296296298297297297297298297298300300299299299300299300300300301300301300299300301299299300301300299299299299299300299299300300300301301301301301300300300300300300301300300301301300300300300300300300299300301300300300299300300300300300300300300301300300300301301302301301301300301300300301300300301300301301302302301300301300300300300299300299301301301301300301301301301300301302303304304306307308310308306306305304305305305304303303303303303303303303303304304304304305305305304304304304304305304305305305305306306306307307307307306308307307307307307307307304306306305306307307307308305305304305304305305306305304304304304303303303304304304304304304304304305305305304306306305305305305304304303303303302302303302303302301301300300300300300300300299300299300301299300300299300300299299299299299299298299298299299298299299298298299298298298297297298297297297298 999999999999999999999999300297297299296296296297296297295296294293294296295294295295294294292291291290290289289289289290290289289289289289289289289290290290291291291291291292291292292292292292292292292292292292293293293293293293294294294294295295295295295294294294294294294294294294294293293294294294294294294294294294294294294294294294294294295295294294293295294295294294294295295294295295295295295294295295295295295295295295295295296296296296296296297298299299299299299300300300301301301302302303303999300301301999302300300300299299298298297297297296296294294294293293292293291291288289289288289288288288290290290290290289289289290291291291292292291291289285999999291292292292292292293294295296294290289291292293292291999999999999999999999999999999999999999999999290289999290291999999999292290290291291290289288289288287288288288288288289289290289290290289290290289290289289288288288288289289288287288288288287288288288287286286286286286286287287288288288288287287287285287287287287286286286285286286286286287286286285285284284286286286287287287287287286287287286286287288288287287288288288288288289289289290289290289290290290289289289289291291290290290290290290291291289288290291289289290290290290289290290290291290289290290290290290290290290290289289289288289289289288288288289289288288288288289289289289290291290290290289290290291290290291291291292291291291291290290290290290289290289289290289289289289289289290290290290291291292293294294294295294294294294294294294294294294294294295294295293294294294295296294295295296297296296297295296296295296296296296296298298298300300300300300301300300300301301301301301299300299301300299299301300300299299300299299300300300300301301301301301301301301300300300300301300301302301300300300300300300299301303300301301301301301300300300300300301301300301301302301302301301300301300299300300300300300300301301300300301301300300300300300300300300300300300300300301301301301301302302303304306306307309309309307306305305306306305305304303303303303304304304304305305305305304305304304304305304304304304305305306306306306307307308307307307308308308308308308307306306306307308307307307308307305305305306306306306306305304304304304304304304305305305304304304306305304305305306306306306305306305304304304304303303303302303302302302301301301301300300300300301300300301301300299300300299301300299299299299299299300299299298298299299298298298298298298297297299298298298299 999999999999999999999999999999298298297999297297296296296295295295294295297296296297297295292292291290289288289288289289289289289288289289290290290290290291291291291291291292292292292292292292292292292292292293292293293293293293293294294294295295295295295294294294294295295295295295294294294294294294294294294294294294294294294294294294294294295295294294294294294295294295294294295295294294294296295295295295295295295295295295295295296296296296296297298299299299300299299300300300301301301303303303300999299300999999304302300298298298299299298297297297296296295294293293291292290289289289289290289287288290290289290291290289289290290291292291290288289292291288286288288288289291291292294295294294292292290293294293291291999999999999999999999999999999999999999999289290289290291292293999296289290292291290291290289289288288289290290289289289290290290290289289291290290289289289288288288288288289288288287288288287288287289285286287286286287287287287287289289288287287286286287287286286287286286286287286286286286286286286285285285286286287287287287287287287287286286286287287287287287287288288288288289289289290289290288289289289289289289290290291291291289290291291291291290290290290290290289289290291290290289290290289290290291290291290289290290289289290289289290290289288289287288288288288288289289289288289290291290290289289290290291290290291291291292291291291290290290290290290289290289289289289289289289289289289290290290291291292292293294294294294294294294295294294294294293294294294294295294294294294294294294294295295296297296295295295297296296296296297298298298299299300300300300299300300300300301302302300300300300300299299299299299300299299300300299299300300300301301301301301301301301301300300300301301301301302301301300300301301300999999300301300301301300300300300300300300300301301301301301300300300300300300297299300300300300300301300300301300301299299300300301300300300300301301301301301301300301301301302303305307308308308308309308307306306306305305305303303303303303304304305304304304305305305304304305305305304304304305306306306306306306307307308308307307308309307309309307308307306307306307307308306306307305305305306306306306307306304304304304304304305305305305305305306306306306306306306307306307306305305305304304304303303303303303303302302301301301301300300300299301301300300300300300299299300299300299299299299299299298299298298298298297297297298296298297296297298298297297297 999999999999999999999999999999999999999999999999296296297296295294294295297295295296296295293291291289288288288288288288288289288288288289289290290290291291291291291291291291292292292292292292292292292292292292292292293293293293294294294295295295295295295294294295294295294294294294294294294294294294294294294294294294294294294294294294294294295294294294294293294294294294295295295294294294295295295295295295295295294294294295295295295295296296297298298299299299299300299299299300300301301302302303999999299299999999303303299300298298298299298297297297296296295294293292293289289289289289289288290291290290291291292291292291291290289288288288289288290293293290288288288288291292291292292293294294291291293292294294292291999999999999999999999999999999999999999999289290289290291291293999293292290291291291290290290290289289290290289289289289289289290289289290289290290289289288288287288288288288287288288287288288287287286286286286286286287287288288288288288288286286286286286286286286286287286287287287286287286288286286286285285286287286287287287287286286286286287287287287288288288288288288288288289289289289289289290289289289288288288290290290290290290289290290290290290290290290289289289290290291290289290290289289290290290290290290289289290289289290289290290290289288289289288288288288288288287288287288290290290290289288289290290290290291290291292291291291290290290289290290289289289289289289288289289289289289289290290291291291292293293294294294294293295293294294294293293293294294294294295294294294294295294295295295295295295295295295297295295297298298297295296298298300300299299298300300300300302303302303300300300301300300300300300300300300300300299299300301301301301301301301301301301301301301301301301301301301301301300300301301300300300300301301301301301301300300300300300300301300300300299298300300300299300298298300300301300300300299299299300300300299300300299301300300299301301300301301301300301301302302303306307309308307309308309307307306306305304304303303303302303305306305305305304305305304304304305303305303304305305306306306306307307307306307308308307309310310309310307308306306306307307307306306306307305304304307307306307306305304304304304304304305305305304305305304305305306306306307307306307307306305305305304304304303302302303302302302302301300300299299300299301300300300300299300299299299300300298298299299298298297298298299298299298298297298297296298296297297297297297297 999999999999999999999999999999999999999999999999999297297295295294294294295295297296297295293292290288287287287288288288288288288288289289289290290290290291291291291291291292292292292292292292292292292292291292292292293293293293294294294295295295294295294294294295295295295294294294293294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294295295295295295294295295295295295294294295294294295295295295295296297297298298299299299299300299299299300301301301301301302999999299999999999999303301299298299298298297298297296295296295294294293292290290289289289290290290291291292291292292291291292291289284287287290289290290288293999999999286286289289289290290292292292291289292292293291291291999999999999999999999999999999999999999999291289290292292293293999294293292291292291291290291289290290290290288289289289289289289289289290289289288288288287287287287287287287286287287287287287286286285285286286286286287287287287288288288286287286286287286286286287287287287287288286286286287286286286286285286286286287287287287287287286287286287287287287287288288288288288288288289289288288289289289289288288289288289289290289289290290290289289290290290290289289289289289289290290289290290291290289291290290290290290289289290289289290289291291290288289289288288288288288289288288287288289290290290290291289289290289290290290290291291291290290290290290289289290290290289289289289289289289289289289290290291291291292292293293294294293294293294293294294294294294293293293294294294293294294294294294294297296296296295295295295295297296296298298296296296297298299299299300300301300301301302299300300300300300301301300300300300300300300300300300300300301301301301300300301301301301301301301301300301301301301301300300300300301300300300301301301301301301300300300299300300300299300300300299299299299299299300299300299299301300300300299300299300300300300299300299300300300300300300301301301300300301301302302303308308307307308309309308308307306305305304302303303304303303304304304304304304305304304304305304304304304304305305305306306306306306307306307308308307309307308308308306307306307307307307305306306306306305306307305306306305305304305305304304304304304305305305305305305305305305306306307308307307306306306305305305305304303303302302303303303303302301300299299300299301300301300300300300300299299299299300300299298299299300299299299299299299298299297296298299300299298298298297297 297999999999999999999999999999999999999999999999999298297295295294294293294296298298298295293291289288288288288287288288288288288289289289290290290290291291291291291291291291292292292292292292292292292292292292293293292293293293294294295295295295295295294295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294293294295295296295295294294295295296294294295295295295295294294295295296297297298298299299299299299299299299299300301301300300999999999999999999999999999999299298298297297297298298297296295295294294294291290289289290290291291291290291292292292292292291291289285284286289290290289290289289999999999290287288289289289291291291292291291291291291291290290291999999999999999999999999999999999999999999289291291292292291999291291292291293292291290289290290289289289288289288289289290290289289289289288288288288287287286286287286286286287287286286286286286286286286285286286286287287288287287286286286286286286286287287287286286286287286286286286286286285286285286286286286287287286287286286286287287287287287287287287288287287287287288288288288288288289289288287288288289289288288288289289289289289289289288288289288288289289288289288288288289289289290290290289290289290289289289289289289290289289289289289288288288288288288288289287287287286288289289288288289289289289289289289290289289290290290290290290289289289287289289289289288288288287288287289288289290290291291292292292293292292292293292292293293293294293293293293293293293293293294293294295296294295295295295295296296296294295295295295295295296296296297297298299300300300301299300300299299300300300301300300300300300300300300300300300300300300300301301301301300301300301301301301301301301301301300301301300300300300300300300300300301301301301301300300300300299299300300300299298299299299299298300299300300299300300300299300299299300299300300300299301300300301302300301303301301301300301301301302304306308308307308308308310308308307305305306304303304303304304304303304304304304303304305304304304303304304304304304305306306306306306306306307307308308307308307307308307307307307308309307306305306305306304305305305305305305305306305305305305305305304305305305305305305305306305305306306307307307307306306306306305305306305303303303303303303304303302301301300300301303301301301300300301300300300300300299300299299298299298299299298299300300299298299297298299299299300299298298297298 298999999999999999999999999999999999999999999999999999296295295294295296296297298298297295293291289288287287287288288288288289288289289290290290290291291291291291291291291292292292292292292292292292292292292292293293293293294294294294295295295295295295295295295295295295295295295294294293294294294294294294294294294294294294294294295295294294294294294294294294294294294294294294295294294295294295295296295294294294295295295294295295296296296296298298298298299299299299300299299300300300300300299999999999999999999999999999999999999299298297298297298297296296295294293293292291290289290291291291291291291292292291292292291288284285287286288290290289289289288999999289289289289291290289291291291291292292291290291290290290999999999999999999999999999999999999999999999999292292292291291999291292291292291290290290290290289289289289289289289289289290289289289289288288288288287287287286286287286287287286286286286286286286285286286285286286286287287287287287287287286286286286286286286286286286287287286286286286286286286285285286286286287287286287287287287287287286286287287287287288287287287287287287288287287287288288288289288289288288288288288288288289288289288288288288288288288288288288288288288288289288289289289289290289289289289290289289288289289289289288288288288288288287288288289288288288287287287287288289288288288289289289289289290289290289289289290290290288288288288288288288288287288288288288288288288289290290290291291292291291291292292291292292292292293293293293293293293293293293294294294294294294295295295295295295295295295296294296295295295295296297295296297297298299299299299299299299299299299300300300300300300300300300300301301300301300300300300300300301301301300300301301301301301301301301302301301301301301300300300300300300300301301301301301301301300301300299300300301299300298299299299300299299299300301299300300300300299300299300300300300299299301301300299300301301299302301301301301302301303304306308307308308309310310309309307306305305304305304305304304304304303304303303305304304303303304303305304305304305305305307306305305306306307307307308307307307308308307307307308308308307306306305306305305305305306306306305306307306306306305305305305305305305305306306306306306305306307307307307306306305305306305305306306304304304304303303303303301301301301301299301301301300300300300302300300300300300300299299299299298299299298299300299300299299301300300300300300301300300300300 298999999999999999999999999999999999999999999999999999999296297296296297297298298298297295292290289287287287287288288288287288288289290290291291291291291291291291291292292292292292292292292292292292292292292293293293293293293294294295295295295295295295295295295294294295295295295295294294294294294294294294294294294295294294294294294294294294294294294294294294294294294294294295295295295295294295295294295295295295295295295295295295295296296297296297298298299299299299299300300300300300301999999999999999999999999999999999999999999300299298298297298297297296295294293293291291291290290291291292291292292293292292293293286286286287287287288288289288288288287286288292291291291292291291292293293293292292292291292291291291289999999999999999999999999999999999999999999999292292292291291290290291292292291290290289288289289289289289289289288289289289289289289288289288288287287287287286286287286287286286286286286286286285285285286285285286286286286287287287287286286286286286287286286286287286288285286286286287286286286286286286286287288287286286286287287287286287286287287287287287287287286287287287287287287287288288287288288288288288288287287287288288288288288288288289289288289289289289288288288289288286289289289289289290290289289289288289289290289289289288288288288288289289289288288289288289288287287288288288288288288288288289287288288289290290290290290290289288288288289288288288288288288288288288288288288288290290290290290290291291292291292292292293293293293293293292293293293293293292294294294293294294295295296295295295295295295296296296297296295295296297296297297297298298298299299300300300300300300300300300300300301301301301301301301301301300301301300300300301301301301301301301301301301302302301302302301301301301300301301301301300300301301301301301302301300301301300300300300298299299299299298300299300300300300299300300300300300301300301300299300300301301301300300300301301301302301302302302302303303305305307309308308310310309308308306305305305304305305305304305304305305305304305305305304304302304304305305305305306305306307306306306306307307307307308308308308308308307306307308306306306306305306306306306304306305306306306307307307307306306306306305305306306307307306306306306306306307308307307306305305305305305306306306305304305304304303303302302301300301300300300300301301301301301302302301300300299299299298300299299298298301300299299301300299300299300299299301302301300299300 298298999999999999999999999999999999999999999999999999999999299297296296297297297297296295293290289288287287287287287287288288289289290290291291291292291291291291292292292292292292293292292292292292292292293293293293293293294294294295295295295295295295295295295295294294295295295295295294294294295294295295294294294294294294294294294294294294294294294294294294294294294295295295295295295295295295294295295295295295295295295295295295295296296297297298299299300300300299300300300300300300999999999999999999999999999999999999999999999301300299299297297297296295294295294293292291291290290290290292290292292292292292293289286284286288288288289288286284284284285287291290291291292292292292292292292292294293291293293293292291290287999999999999999999999999999999999999999999999293293291291290291291292291291290289289288289289289288289289288288289288288288288288288288287287287287287287287287287286286286286286285286286286285285285285285285285286286286287287287287286287286286286287286287286286287287288288286286286286286284286286286287287287287287287286287286286287286286287288288288288287288288288288286287287287287288288287288288288288288288288288288288288288288288289289289289289289289289290289289288289288289289289289288289289289289289289289289290289289289288288288287287289289289288288289289289289290288288289289288289288287288288288287288289289288287290290290290290289289289289288288289288288288289288288288288288289289289290290290291291292291292292292292293293293293293293293293293293294293294293294294294294295294295295295295295295295297297297297296295295296296296298297297298298298298300300300300300300300300301301301300301301300301301301301301301301300301300301301301301301301301301301301301301301301302301302301301302302301301302301301301301301301301301301301302301301301300300300300301301301300299300300300301300299298300300300300300300300301301300300300300299299301300300300301302301302303302302303303303303305305305306307307308308308309308305305305305304305305305305305304305305306305305305305304304303305304304304304305305306306306307307306306307307307307308308308308308308307306306307306305306306306306307307307305305306308306306308308308307307306306306306306306305306306307306307307306306306306306306307305305305305305306305306306305305304304303303302302301300300300301300299301301300300301302301301300300299299298298299299299299299299300300299299298299298299300299298300299300300300301300 299298297999999999999999999999999999999999999999999999999999999999999297297297297297296295293291288288287287286287287288288288289290290291291291292292292292292292292292292292292292292292292292293293292293293293293293293294294294294295295295295295295295295295295294294294295295295295295294294294295295294294294294294294294295294294294294294294294293294294294295295294294295295295295295295295294294295295295295295295295295295295295295296295297297297297298299299299298299300301301300301301999999999999999999999999999999999999999999301301302299297297296296295295294294294293293292291291290291291292292291291291291290288288287285284283287289287287284282283284284287291292292291291292292292292290292293294294295293294293292292291289287999999999999999999999999999999999999999999291291291290291291291291291291289289287288289288288288289289288289288288288288288288288287287287287287287287287287287286286286285286286286286286285285285285285285285286286286287288287287286286287287287287286286286287287287287288288286285285287286286286287286287287287287287287287287287286287287287287288288288288288288288288288287287287287287287288289288288288288289288289289289289289289289289289288289289289289289289289289289289288289288288288288288288288288289289289288289290289288287287289287288288288288287288289289289289290287289289289289289289288288288289288289288288289289288288288289289288289288288288288288289289288288288288288287288289289290290291291290291291291291292292293293293293292293293294294293293294294294294294294294295294295295296296296296295296296295296296294296296296297296297297298297297297298300300299300300301300301301301301301301301301301302302301301301301302301301301301301301301301301301301301301302300301302302301301301301302301301301301301301301301301301301301301301300300299300300301299300300300300300299301300301301300301300300299299300300301301301300300300302300300300300300299301302305303303303302302302304304304304305305307307306306308308307306304305304305305304304305303303305305305305305305305305304303304305304305305305306306306307307307307307307307307307307307308308308307308307306307305307306305306306306307307306306307311309308308307307307307308307307306306305306305305306306306306306305305306306305306305305304305305305305305305305305304304303302301301299301301300300299299300302301301301301301301300299299299298298299299297298298298298298299299299300300298299298299299300301300299299300 299298298999999999999999999999999999999999999999999999999999999999999999297296296297296295294291289288287287286287287288288289290290291291292292292292293292293292292292293293293293293292293293293293293293293293293293293294294294295295295295295295295295295295295294294295295295295295295295295295295295295294295295295295294295295295295294294293294295295295295295295294295295295295295295295295294295295295295295295295296295294295295296295297297298298298299300299299300300300300300301303999999999999999999999999999999999999999999999300301301300296296296295295295294294294293292292293292291291291292292291290289287285286285287286282282999287286285282280283289284290292292293291292292292292292291291292293293294294293292293293291292290293291999999999999999999289288999999999999290291291290291290290291290290288288288289288288288288288288288288288288288288288288288287287287287287287287287286286285285285286285286286285285285285285285285285285286286286287287286286286286287287286287287286286286287286288288285286285285285286286285286286286286286286286286286286286287287287287287287288288288287287287287288287287287287286287287288288288288288287289288289289289288288288288288289289289289289288289289288288288288288288288288288288288288288288288288287288289287288287286288287288288287287288287288289288288288289288289289289289288288288288289288288288287288288289289289289289288289288288288289288288288289289289288289288289289289289289290290290291291291291292292292292292292293293293293293293294294294294294294294294295295295295295297296296295296296295296295295296296296297296297296297298297297299299300299300300300300301301301301301301301301301302301302301302302301301301301301301301302302302302301302301301301301301301301300300301301300301301301301301301300301300300301301300300300299300300301301301301300300300300299300300300300300300299300299300300301301301300300300300301300300300300301302302303302301303302302302303303303304307305306305307305307307305304304304304305305304305305305305305305305303305305305305305304304305306306305306306306307307307307307307307307307307307307308307309309309307305307306307306306306306307307307307307308308308307307307308308307307308307306307306306306306306306307306306305306306305305305305304304304305305305305305304305304304304302301300301299300300300302300300301301301301301301301301300300300299298298299297298299299298299299299300300299299300299300300301301300300301298 300299298298999999999999999999999999999999999999999999999999999999999999297296296297297295294292289287287286287287287287288289290290291291292292292293293293293293293293293293293293292292293293293293293293293293293294294294294295295295295295295296296295295295295294294294294295295295295295295295295295295295295295295295295295295295294294294295294296295295296296295296295295295295295295296295295295295295296295296296296296295296296296297297298299299300300300300299301301301301302302302999999999999999999999999999999999999999999999999303303999298297296296294294294294295294293293292292292291292291290291286282282285286286287286281999999999999999286285289292291292293291291291291291292293292292292292292293292293293293293293292293293295293293294999999999999289288999999999999291291291291290290291290290289288287288288288287287288288288288288288289289288288288287287288287287287286286286286286285285285286285285285285285285285285285285284285285286286287287286286286286288287287287287287287287287287287287287287286287286286286285286286286286286286286286286286286287287287287287287287287287287287287287287287287286287287287288287287287287287288288288288289288288287288288288288288288288288289288289288288288289288288288288288288288287288288288288288287287287287286288287288287288287288288288288288288289289289288289289288288288289289289289288287288287288289290289289289288289288289289289289289288288288289289289289289289289289290290290290291291291291292291292291292292292293292292293293293293294294295294294295294294295296296295295295295295296295295295295295295295295295295296297297297298297298299299299299301300301301301301301301301301301301302302302302302302302302301302301302302302302302302302302301301301301301300300300300300300301300301301301301300300300300300300300300301301301301301301302301300300300300300300301300300300300301300300300300300301301301301301300300300300300299301303302303304302302302302302303303303303305304305306305307307305306305304304303305305305305305306305305305305306305305305305305305305305304306306305305306307307306306307307307307308308307307307307308309309309309307308307307306306307307306307308307307310308308308308308308307307307306306307307306307307307306307306306307306306306306305306305305305305306307305305305305305304305305303301300301301301300300301300300300301301301301301301301299299298299298297298298298299299298299298299300300299299298298299300300301300300299301 300299298298999999999999999999999999999999999999999999999999999999999999999297296297297295293293289287286286286287287288288289290290291291292292293292293292293293293293293293293295293293293293293293293293294294294294294294295295295295295296295295295295295295295294294294295295295295295295295295295295295295295294294294295295295295294294295295295296295296296296295295295295294295296295296295295296296295296296296296296295296295296296296297298299300300299300300300301301301302302302999999999999999999999999999999999999999999999999999999999999999300296296293293293294295295293294292292290290291288288287284284284285287287287286280277280283291288289290292291292291291291291292293293292293292291292291292293293294294294294294296295296297295296296295295294291288999999999999291292292292291291291290289289289288288288288287287287287288288288288288288289288288288288288288287287287286286286286286285285285285285285285285286285285286286285285284285285286287287287287287286287287287287288288288287287287287288288288287287287287286286286285286285286286287286286287287287287287287287287287287287287287287287287287288288287287288287288288288287286288288288288288288288288288288288288288288288288289289288288288288287289289288289288288288289288288288287287287287288288288288288288288288288288288288288288289289289287288289289289289289289289289289288288288288288289289289289289289289289290289289289289289289288289289289289289289289290290290290290291291291292291291291291292291292292292293293293294294294295295295295295295295295296296296295296296295296296297296294296296295295296295296297297298298298299299300300300301302301301301301301301301301301302302302303302303303302303303303302302302302302302302302302303302302302301301301300302301301301300300301301301300300300300300300300301300301301301302302302301301301301300300301302301301300300300301299300299300301301301301301301301300300300299302306303303304303302302302302303303303303303302306307305307306305304304304304304304304305305306306305305305305306305305305305306304306305305306306305304305306306307307307307307308308308307307308307307308310309308307309308308308305306306306305307307308308308308308308308308308307307308308307307306307307307306306306307306306306306305305306305305306306305305305305305305305304304305303302301301301301300302301300300300301301301301300300300299299297298298298298298299298298299300301299299301300299298299298299300299301299300300 301300299299999999999999999999999999999999999999999999999999999999999999999999297297296295293292289286285286286287287288288289290291291292292293293293292293293293293294293293294293293293293293294294293294294294294294294295295296296296296296296296296296295295295294294295295295295295295295295295295295295295295295295295294295295294294295295295296296296295296296296295295295294296296296296296296296296296296296296295295296296297297296296297297299300299300301301301302302301301302999999999999999999999999999999999999999999999999999999999999301301295999999294293294294294294294293292291290288286287287287287286286286287287287286281278280285289291290293295292292292293292291293293294293293292292292292292293294294292295295296297296296297295296297297298293293291999999999292292292293292292291291290290289289288288288288287287287287288288288288288288288288288288288288287286286286286287286286286286285285284285285285285285285285285284285284284285286286287287286286286286286286287287288288288287288288287287287288287287286287286286286286286286285286286286286287286287287286286287287287287287286286287287286287288287287288288287287288288288287288287288288288288287287287287288288287287288288288289288287288288287287288288288288287287288288288288288287287288288288288288288289288288288289288288288289289289288289289289290290289289289290289289289289289288289289289290289289289289289289289288289289289289289288289288289290290289290290290290290291291291291291291291291291291292292293293294293293293295294295295294295294295295295297295295296296296296296297297296296295296296296296297297297298298298299299300300301301302301301302302302300301301302302302302303303302302303303303303302302302302303303303303303303303303302300301301301301300300300301301301300301300300300300300300299301301301301302302302301301301301301301301301302302301300300300300299300300300300301301301301301301301301300304303304303303304304303300301301302302303302302302305304303306306305304303303304304305305306306306306306306305306306305305305306306307306306307307306306306306307307307308308307307307307307307307308308308308310310308306308309309308306305305305305307307307308308308308309308307307307308309308307308307307307307307307307306306306306306305305305305305306305305305306305305305305305304304304302302302301301301302301300301301301301301300300299299299299298298298298297298298298298298301301298299299299300300300300300300299301299302301 301300299299999999999999999999999999999999999999999999999999999999999999999999999298296295293291289285285286286287287288288289291292292292292292294293294294294294294294294293293293293293293294293294294294294294294294295295296296296296296296296296295295295295294294294295295295295295295295295295295295295295295295294294294295295294295296295295295296296296296296296296295296295295296296295296296296295296296296296296295296296297297296296297298299300301301301302301303304303301303999999999999999999999999999999999999999999999999999999999999999999999999999999999296294295294295292292291290290288287289288289287287287288286286282277277285290290292293293293293293293293293293294294294293292292293294293293294295294295296296296296295294295294294297296295294294293292999290291292293293292292291291290290289288288288288288288287287288288288288288288289288288288288288287287287286287287286286286285285285284284284284285285285285284285285285285284285286286286287286285286286286287288287287287287288288287287287287287287287286286286286285286286286286286286286286286286286286286287287287287287286287287287287287287287287287287287287288288288289287288288288287287287287287287288288288288288288287289289288289287288288287289288288288287287287286287287287289287287286288288288288289289289288288288288289289288287288289289290289289289289289290290289289289289290289289289289289288289289289289289288288288288289289288289289289289289290290290290290290291291291291291292291291291292292293293293294294294295295295295294295295295294295295295296295296296296296296296296296296295296296296296297297298298299299300300300300301301301302301301302301301301302302302302302303303302303303303302302303302302302303304304304303303303303302302301301301301301301301301301301301301301301301300301301301302303302301301302302301301301301301301302301301302301301300300301301301300300301300301302301302301301300300304303303303302302302302301301301301302302303302302302303303303304304305303304304305305306306306306306306305306306306305305306306307305305306307306307307307307308307308308307307307307308307307307307307307309310310309309308308309308306305305304305307307307307308308308308308308308307308308308308307306306307307307307306307306306306306305306305305305305305306305305305305305304305305305303303301301300300300301302301301301301300301301300299299299298297298299298297297297298298297300301298299299299299300299300300302300300300301300 300301301301999999999999999999999999999999999999999999999999999999999999999999999999999295292292289284285286286287288288289290291292292292293293294294294294294294294295293293293293293293294293294293294294294294294295295295296296296296296296296296295295295295295294295295295295295295295295295295295295295295295295294295295294295295295296296296296296295296295296296296296295295295295295296296296295295296296296295295296295296296296296296298299300300300301301301301302302300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295294293291291291290290291287287287288288287288286285283280288282289291292295293294294293294295294293293293294294294294295293295294295295296295295297297297297297297297296295296296295294292292291289288291291292291292292291291290290288288289288289288287288288288288288288288288288288288288288287287287287287287287286286285285285285284284283284284284284285285285285285285285285286286286286287286286287287288287286287287288288288288288287287287287287286286286286286286286285285285285286285286286286285286286287287287287286286287286286285287287287287288289288288287288289288288286287287287287287287288288289289289289289289290290289288288288289288289289289288288287287287287288288288288287286288288287288289290289288289288289289289288289289289290290290290290290290289290290290289289289290290290289289289289289289289289288288288288288288288289289289289289289290290290290290291291291291291291292291292292293292293293293294295294295296295295295295295295295296295296296296296296296296296296297296296296296297296296299297298299299300300300300301301301301301302301302302302302302302302302303302302302305303303303302302303304304303303303304304302302302302301301302302302301301301301301301301300300301302302302302301301301301301301301301301301302302301301301301301301300301300301301302300301301301301301302302301301301301302302303303302302302303302302301301302302302302302302303302303303303304304304304305305306307307307306306306306306306306306306306305305306306306306307307306307307308309308308308307307307307308308307308309309309311310310307308307307307305305305306306307307305306307307307307308308308308308308307307306307307308308307307307306306306305306305305306305305305305305306305305305304305305305304303302301300300301300301301299299301301300300300300300300298299298298297297297298297296299297299297299299300300300300299300301300299299300301 300301999299999999999999999999999999999999999999999999999999999999999999999999999999999999292292290284285285286287288288289290291292292293293293294294295295295295294294294294294294293294294293294294294294294294295295295296296296296296296296296296296295295295295295295295295295295296295295295296296296296296295295295295295294295296296296296296296294295295296296296296296296296295295296296296296296296296296295296296296296296296297297298298300300300299300301300302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292291292291291291291290288288289288287285281279281288294292291292293294294294294294294293293294293293293293294294295295295296295295295296295297297296296296296295295294294295293294293292290290289290291292292292291292291290290289289289289289288288288288288287288288288288288288288288288287287287287286286286286285285285284284283283283283284283284284284285285285285285285285286286286286286287287287287288286287288286287288288288287287286287287286286286286286286286285285285285286285286286286286286286285285286287286285285286286286285286286287288288288288288287287287287286287287287287288288288288288289289290289290290290290289288288288288288288289289288287287286287288286289288288287286288288289289289288288288288289289289288288289289290290290290290290290290290290290289288289290289289289289289289289289288288288288288288288288287288288289289290289290290290290290290291291291291291292292292292292292293293294294295295295295295294295294295295295295295296296296296294295296295295296296297296296297297299298298299299299300300300300301301301302302301301302302302302301302302302302302302302303303303302302303304303304304303303304303303303302302301301302302302301302301302302301301301300301300301302302302301301301301301300301301301301302301301300301301301301301301301301301301302301301301302302302302302301301302302302301302301300302301300300301302302302303303303303302303304304303303305306307306306307306307305305305306306306306305305306305305306306306307307307308307308309309309309308308308308308308308308308308308309309310310308308307308307307307307307307307306307307307307307307308308308308308308308307307307307309308307307307307307306306306307306306306305305305305305305305304303304304304303302302301300300300300300298299300300301301301300299300300299299300297300298298297297297297298297299299299300299299299300301301300300301300299 300300999303999999999999999999999999999999999999999999999999999999999999999999999999999999999292289284284285286287288288289291291292293293294294294294295295295295295295294294294294294294294294294294294294295295295295295296296296296296296296296296296295295295295295295295296295296296296295296296296296296296295295295295294295296296296297296296297296295296296296296297297296296296295296296296296296296296296295296296296297296297298298299300300300300300301300299301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291291291291290290290289289287284282279284291292293290293294293293294294294294294294294292292293293292292296295296295295295294296295295296297295295295295293294295295295295294292292292290291291292292291292291291290290289289289289289288288288288288288288288289288288288288287287287287287287286286285285285285284284284283284283283283283283284285285285285285285285285286287287287288288287288288289288288288288288288288288288288287288287286286286286285285285285285286286286286286286286286286285286285285286286285285286285286285287287287287287288288288287287286288287287287287287288288288288289288290290289290290290290289289288289288288288289287288288288287287288287287287287287287287288288289289288288288288288289289288288289288290290290290290290290290290290289289289288289289289289289289289289288288288288288287288288288288289289289288289289290290290290290290291291291291292292292292292292292293294294294294295295294294294294295295294295295295296296295295296295296296296296296296296296297297297298297299299299299300300300301301301302302301302303303303302302302302302303303302302302303303302303302303304303303303303303303303303302302301301301302302302302302302302302301300301301300300300301300301301301301300300301301301301301301301300301302302302302301302302301301301302302302302302302302301302301302301302302302300300302301302301301302302303303303303303302303304305305305305306307307306306306306306305305306306306306306306305307307306307307307307307307308309309309309309308308309308309308309309309309309308309310309309309309308308307308308308307308307308308308308308308308308308308307308308308308308308307309307307307308307307307307307307307306306305305305305305305305304304304303304303302302300300300300299297300300300301301301301300300299299299300299297297297297297297297298299298298299300299299300301301301300300300300299 301300299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999287283283286287287288289290291291293293294294294295295296295295295295295295294294294294294293293294294294294294295295295296296296296296296296296296296296295295295295295295295296296296295296296296296296296295296295296295295296295296296296296297297297296296296297297297297297297297296296296296296297297297296296296297297298298298299300300300300300300301301301301302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290292291291291290289289999288287284288287291292292292294294293294294295294294294294293292293293293295295296297296294295296295295295295295294297294295294294295294295294295294293292292292292292292292292292291290290290290290289289289289289289289288289288288288288288288287287287287286286286286286285285284284284284284283283284284284284284284284285285285285285284285286287287287288288288288288289288289288288288289289289288288287287287287285285285285285285285286286286285286285285285285285286286286286286286286285287286286286286287287287287287286287287287287287288287287287287287287289289290290290290290291290289290289288289289288289288288287288288288288286287287287287288288287288287288288288288288288288288288289288289289289290290289290290290290290291291290289288288289289289289289289288288287288288288287287287288288288288288288289290290290289290290290291291291291291292291291291292292293293293293294294295294294294295295295295295296295295296297297296296296297296296296297296297297297297298298298298299300300300300300301301301302302302303302303303303303303302302302302302303303303302302302303303304301302302302303303303302302302302301302302302302302302302302302301301300300300300300301300300300302301300301301301301301302301301301301301301301302301302302302301302301302302302303303303303302304304303302302302301301304302302301302302302302303303303302303304304304305305306306306307306306306306306306306306306306306307307307307306307307307307307307308308309309309309309308308308309309309310309309309308309309309309310309308308308308308309308308307307308308308309309308307308306307307307307308308308308308308307307308308307307308307307307307306306305306305305305305305304303303303303301300301301300300299298297301300300301301300301300299299299297298298297294295296296295297296298298297299298300299300299300301300299300300299 301300299301999999999999999999999999999999999999999999999999999999999999999999999999999999999999282282284286287287288288289291292293293294295294295295295295295295295295294294294294294294293294294294294294294294295295295296296296296296296296296296296295295295295295295295295296296296296296296296296295295295295295295295296296296296296296297297297296296296297297297297297297297296296296295295297297297296296297297298299299299300300300300301301301301301301301301302303308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289291291291290289999293295294290294291291292292293293293293293294294295294294294294294294294294294294294295295294295294294295294294294295295294293294294294294293293293294293293291291291291291292291291291291290290290290289289290290289290289289289288288288287287287287287287287286286285285285285285284284284283284283284283283284284284284284285285285285285285285285286286287288288288288289289289289289289289288288287289289288288288288287286286286286286285285286285285285285285285285285285286287286286286286286287286287286286287285286287288287288287286287287288288288287287287288288288289289289289289290291290290289289290288289289288288288288288287288288288288287287287288288286288288287288286287287287288288287288288289289289289289289290290290290289289290290288289288289289290290289289288288288288288288288287287287288288289288288289289289289290290290290291291292291291291292291291291292293293293294294294294295295295294295295295295296296296297297296297297296296297296296297296297297298297297298299299299299300300301301300302301302302302303303303304303303303302302301301302303303303302302302301301301301301301301302303302302302302302302302302302302302302302302302302301301300300300300300300301300301301301301302301301301302301301301301301300302301301301302301301301301301302302302303303303302303302303303302302302302304304303301301302303303303303303303303304303304305305305306306307306306306306305306306306306306306306306307307307307306307307307307308308309308308308309308308307308308309309309309309308309308308309309308307308308308308308308308308307308308307308308308307306306306306307306307309308308308308307307308307307307307307307307306306305305305305305305306304303303302301301301301301300300299299298298300300300301300300300299298298300299300298296296296297296295296296296297297297298297298299299299299299299300300300 301300299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281284285286287288289291291292293293294295295295295295295295295295295295295294294293294293293294294294294294294295295295296296296296296296296296296296296296295296295295296296296295295295295295295295296296296295295295296296296296297297297297297297297297297297297297296296296296295296295295296296296296296296297298298299299299299299300301301302302302302303301302303305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290290290291290290288284290290291290290290291292292293293293293293293294295295294294294294295295294294294295294295295294294293294294295294294295295294295295294294294293293292291292292292291291291290291291291291290290289289289289289290290290289289289288288287287287287286286286286286286285284284284284284283283283283283284284283283283283284284284284285285286285285285285285286287287287288288288289289289289289289289288287288289288287287287286286286286286286286286286286286286286285285285285285286286285285285286287286287287286286287286287287287287287287287286287288288286288287288288288289289289289289289289289290288289289290290289289289289288288287288287286286288289289288287287287287287286287287286287286288288288288287288289289289289289289289289289288288288288288288287288288289289287288288288288288287287287288288287288288288288288289289289289290290290291290291291291291292291291291292292293293293293294293293294294294294294294294295295295296296296296296296296297297297297297296297297298298298299299299299300300300301301301302302302302303303303303303303302302302302302302302302302302301301300301301301300300300301301301302302302301301301301301302301302302302302302302301301301300300300300300300300300300301301302301300301302301301299300301300301301301300301300301301300301301302302302302304302302302302302302301303303303303302301302301302303303304302303303303303303305305305305306307306306305305305305306306306306306306306307307307307307306307307307307308308308309308308307308307308308309309309309308307307308308307308308307307308307307308308309308307307307307306306307306306306306305307306306307309306307307307308307308307308307306306306305305305305305305303305305305303302302302300301301301300299298299298298298300300300300300299298298298300298297297296295296296297296296297297298296297295298298297299300299299299299299299 302301300299301999999999999999999999999999999999999999999999999999999999999999999999999999999999999282284286286287288290291291292293294295294295295295296295295295295295295295294294294294293294293294294294294295295295295295296296296296296297297296296296296296296296296296296296296296295295295295296296295296295296296296296296296297297297296298298298298297297297296296296296296296296296295296296296296296297297298297298299299299299300300302302303999999304304304306999999999999999999999999999999999999999999999999999999999999999999999999999999999999291294294999999294292291290290289290290290289284290288290291290292291291292293294293294293293293294294294294295295294296295294294295295295294295295293294293294294294294294295295294294294293293293292292292292292291291291291290291291291290289289289289288289289289290289289289288288288287286286286285285285285284284284283283283283283283283283283283283283283283283283283283284284284284284285285285285285285287287287288288288288289289289289288289288287287286288287287287287286286286286286286286286286286285285285285285285285286286286286285285286285285286286286287286286286287287287287286287287287287286287288286287288288288288289288288289289288288288289289289289289289289288289288288288287286286287288285287287288286286286286287286287287287288288287287288288288288288288289288289288288289288287288287288288288288287287288288287288287288287288288288287287288287288288289289289289289290290290291291290291291292292291292291292292292293292292292293293294294294294294295294295295295295295296296296297297297297297297297297297297298298297299299299299300301301301301301301302302303303303303303302302302302302302301302301301301301301301301301300300300300300300301301301301301301301301301301301302302302301302302301300301300300299300300300300300301300300300301300299300301301300300300300300300300301301300300301301301301301303303303302303302302302302302302302302302303302302302302303303304304304304303303304304305305305305305306306306306306305305306306306306306305306306307307307306307307307307307308309307308307308308307307308309309309309308308308308308308307308307308307308308308308308308308308307307307306305305306305305305306305306306307307307307307309307308307307306306306307306306306305303305304305305305304304302302302301301300300299299299299298298298299299299299300299299300298300299298296295297298297298298298299298299298298298298298298299299300300299299299300 303302301301301302999999999999999999999999999999999999999999999999999999999999999999999999999999999999285286287287288290290291292294294295295295295296296296295296295296296295294294294294294294294294294294294295295295295296296296296296297297297296296297297296296296296296296296296296296296296296295295296296296297297297297297297297297297298298298298298298298298297297297297297296296296296296296297296296297297298298299299300300300300301303300999999999300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291292293294294293291291290290288295289288290288290289290291291291292293293293294294294294294293294294295295295295295296295295295294294295295294295293293294294294294294294294294293293293292292292292292292292292291291291291290290290290289289290289289289290290289290289289289288288287287286286285284284284284284284283283283283283283283283283283283283283283283283283283283283284284283284284284284284285285286287287287288288288289289289289288289288288287288288287287287287287286286286286286286286286286286285285285286285284285286286286285285285285285286287285285288285287287286286285285285286286287286286287287287287288288288288287287287288288289289290289289289288289289287288288287287287287286284286286286286285285285285286286287287287286287286286287288287287288288287288288287287288288287286287288287287286287288287287287287288288288287287288287288288288287288288288289289289289290290290290290291291292292292291291291291292292292292292293293293293293293294294294295294295295295295295296296297297297297297297297297297297298297298297299299299300300300301301302302302302303303302303303303302302302302302302301301301301301300301301301300300299299299300300301301300300300301301301301301302302302302302303302301301301300300301302301300301300300301300300300299300301301301300300300300301300300300301301301299301301302302302302302303302302303302303302302303302303302302302302303304304303304304304304305305305306305305306306306306306306306306306306306306307306306307307307307307307307307307308308308309308308308308308309309309310310308309309309309308308308307308308309309308308309310309309309309308307306305305305306305305305306306306307307308308308308308307308307306307307306306306306305305305305305305304305305304303301302301300300299298297298298299298298300300299299299299298300299298298298297297296298298299299299298300299299300300299299299300298300300300299299 304303302302302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287288287287289291291292293294294295295295296296296295296296296296295295295295295295294294294294295295295295296296296296296296296296296297297297297297297296296296297296297296296296296296296296296296296296297297297297297297297297297297298298298298298298298298298298298297297296296296296296296297297297298299299299299300301300302304302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292293292292291291290289288288293289288289288288290292292293293293294294295294294295295295294294294295295295295296296294295295295295295295294294293293294294293293294293294294294294293292292292293292292292292291291290290290290290289289289289290290290290289289290289287288287288287287286285285284284284283283283283283283283284283283283283283283283283283283283283283284284284283283284285285285285285286286287288288289288288289289289289289289289289289288288288288288288287287286287287287287287287287287286287286286286286286286286285285286286286285287287286286287287288286285285285285286286287287287288288288287287288288288288287288288288288289289290290290289289289288289289288288288288287287286286286286286286285286286287287287288287286286287286287288288288287287288288287288288288288287287287287288288288288288289288288288288288288288288288288288288288288289289289290289290290291290290291291291290290291292292292292292292292292293293294294293294294294294294294295294295295295296296296296297297297297297298297298298298298298298298299298299300301301302302302303302302303302303303303303303302302302302301301301301301301300301301301300300299299299300300301301300300301301301301302302302302302302303303303302302301301302301301301301300300300301301300300300300300301300300300301301301301301302301302302303302303302302304303303304303303302303302302303302303302301302302303302304303303305305305306304305305306306306306306306306306306306306306306307306306307307308307307307308307307308308308308308308308307308308309309310310309309309309308309308308309308308308308308308308308309310309309309309308306306305305306305304304305305306306306307308308308308307308308307307307306307306306305305305304305304304305304303303303302301300300300299298298298298298298298300300299301300299298300300299298299298295297297298300300300299300299299300300299299300300299299300299300299 303302302302301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287288287287289291291292293294295295295296296296297296296296296296295295295295295295295294295295295295295296296296297296296296296296297297297297297297297297297297297297296297297296296296296296296297297297297297296297297297297297297298298298299299299299298298298298298297297297297296297297297298298298299300299299301301304302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290290291290289288288287287293292289288288290291292293293293294295295295295295295296296294294294294294295294295296294294295295295295295295294294294294294294293294293293294294294293293293292292292292291291291290291291290290290289289289289289289289289289289289288287287287286287286285285284284283283283283283283283283284284284283284284284283283284284284284283284284284284284285285285285285285285286286286287288288288289288289289289289289289289289288288288287286286287286287288288288288288287287287287287286286286286286286285285285286286287287287286287286286286286286285285285285286286287286287287288288287288288288288288288288287288287288289290290290288289289289288288288288288288288287286286286285286286286286287289287286287287287287287287288288287289287288289287288288288288288288287288288287287288287286287288288288288288288288288287288288288289289289289290290290290290290290291292291291291290290291292292291293292293293293293293294294294295294294294295295295295295296296296296296297296296297297297298298298298298298299300300298298300301301301302302302302302302302303303303303303302302301301301301301301301300300301301300300300300299299299300300301300300300301301301301301301302302302303303303303302301301302302301301300301301300301302300300300300300300300300300301301301301301301302302303303302302302303303303304304303303303302302303303304303302302303302303304303304304305305305305304304305306306306306306306306306306305306306307306307306306307307307308308308308307308308308308308308308308308309309310311311309307308308308308308307308308309308308308308309309309310309309308307307306306305305305304304305305305305306306307307307307308307308308307307307307306306305305305305305305304304305304302303302302301300300300300299299298299298297297298299299299300299298300298298298298298299299299300301301300300299299299299299300300300300300299299300300299 302302302302301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288288288287289290291292292294295295295296296296296296296296296296295295295295295295294295295295296295296296296296297296296296296297297297297297297297297297297297297297297297296296297297296296296296297297296296297297297297297298298298298299299299299299299298298298298298298297297296297298298298299300299299300300303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289288288288287287287290287289289290292293293293294294294295295295295296295296295295294295294294294294294295296296296295295295295295295295294294294294294294294294294294294293293293292293292291291291291291291290290289289289289288288289289288288287288288287287286286286286286284284283282282283283283283283283284284284283284284284284284284284284284284284284284284284284285285285285285285285285285285286287287288288288288289289289288289289289288288288288288288288288288288288288288287288287287287287287286286286286286286286286286286286287287286286286286286286285285285285286286286286286287287288289288288288288288288289288287288288287288289290290289290289289288288287288288288288287286286287287286286287286287288288287287287288287287288288288289288288288288288288288288288287288287288287287288289288287288287288288288288288288288288288288288289289289290290290290289290290291291291291290290291291291291292292292292293293293293293293293294294295295295295295295295295295295296296296296296296296297298298298298297298297298300301300299299300300300301301301302302301302303302303302302301301301301301301301300300300300300300300300299300299299299300300300300300300300301301301301301301302302302302302302302302302300300300300301301300302302301300300300299299300299300301301301301301302301302302302302302302302302302302303303302303302302302303303304303303303302303303305304305305305305305306307305305306306306306306306306306306306306306307307307307307308308307308308307308308308307308308309308308308307308309309311311308308309308309309309308308307309309309308309308308308309308308307307306306304304304304305304304304305305305306306306307308308308308308308308307307307306305305305305305305305304304304303302302301302300300301300301300299299298298298298299298299299299300300300299298299299299299299300301299300300300300299300300299301301300299300300300299299 302302301302301299999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289289288287288290291292292294294295295296295296296296296296296296295295295295295295294295295296296296296296296297296296296296296297297296297297298297297297297297297297297297297297297297297297297296297297297297297297298298298298298299299299299299299299299299298298299298298298297298297298299300300300300300300300303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291288286287287286286285287289290291292293293294294294294295295295295296296296295295294295295295295295295295296296295295295295295295295295294294294294294294294294293293294294294293292292292292292291292291291291290289289289289289289288288288287999287287287287286285286285284283283283283283283283284284284284284285284284284284284284285284285285285285285285284285285284285285285284284285285285285285285286287288289288289288288289288288288288288288288288288289288288288288288287288288289289287288287287287287287287287287286286286286286286287286287286286286286286286286286287286286287287286287287288288288288288288288288289288288288288288289289289288289289289288288288288287287287287287287287286286286287287287286286287287287288287288288285288288288288288288289289289288288287288287288288288288289289288286288288288288288288287287288288288289289289289290290289289289289290290290290290290291291292292292293293293293293293293293294294294295295295295295295295295295296296296296296296296296296296297297297298297297297299297298299301300299299300300300301301301302302302302302301301301301300301300301301300300300300300300300300299299299299299299300300300300300300300301301301301302301301301301301302302301302301301300300300300300302302300300299300300300300300300300301301301301301300300302302302303302302302301302302302303302302302302302302303304303303302302303304305304304305305305306306307306305305306306306306306306304305305306306307307307307307307308308308307307308308308308309308309309309309309307309309309309309309308309308308309308308308309309308309309309309309310308307307306305305304303303304304304303304304304305306306307307307308308308308309308307308307306306305305305305304304304304304303302303301301301301301301300300300300299299299298298297299299299299299300298299300299300300299298300301300301300300300300300300300300300299299299298298298 302302302301301299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290288287289290291292292293294294295295296296296296296296295295295295295296296296295296296296296296296296296296296296296296296296296297297298298298297297297297297297297297297297297297297297297297297297297297298298298298298299299299299300300299300300299298299299299299299298299299299299299299300299299301299300299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300999999999999999999999999295296290285287287286285287289290291291293293294294294294294294295295295295295295295295295295295295295295295295295295295295294295295295295295294294294294294294294294294294294293293293292292291292292292291291291290290289290289289289289288288288287999285285286286286286285285284283283283283283283284284284284285285285285285285285285285286285285286285285285285285285285285285285285284284285285285285286285285287287287288289289288288288289288288288288289287289289289289289288289288288288288288288287287287287287287288288287287287287287286287286286286286286286285286286286286286286286287286287287288288288288288288288289289289288289289289289289289290290289289288287288288288288287287287287287287287287286286286286287287286287288287287287287287287288288288288288289289288288288288288288288287289287287287287288288288288288288288288287287287288289289288288289289289290290290290290290290291290290291291292292292292293293293293293293294294294295294295295295295295295296296296296296296296296296296297297297297297297297297297299298299299299299300299300299300300301301301301301302302300300300300300300300300299300299300300300300299299299299299299299300300300300300300300300300300300300301301300300301301301301301300299300300300300301299300300300300300300300300300301300300301300301301301301300301302302302302301301301301301301302303303303302302302302303303302303302302304305305305305306306306305305305304305305305305305305305305305304306306307307307308307308308307308307308309309308309309309309310308309308309309309309309309308308308308309309309309309309309310309309309310309307307306305305304304303304304304303303304304304305306306306307307308307308308308308307307307306305305305305305304303303304302302302303302301301302301300300300300300300300299299299299299299299299300299298299299300300301300299299301301301301301300301301301301300300300300300299299299 303302302302300299999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291290288288288290291292292293294295295296296296296296296296296296295296296296296296296296296297296296296296296296296296296296295296297297298298298298297297297297297297298298298298298298298298298298298298298298298298299298299300300300301301300300301301300300300300300299299300299299299299299299299300300300300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296999999295295294293291289289292286287286287289290290291292293294294294294294294295295295295295295295295295295295295295295295295295295295295295295295295295294294295295294294294294293293293293294293293293292292292292291291291291291290290289289288288288288288288288286287999284285285286285285284284284282283283283283284285285285285285285286286286286286286286286286286286285285285285285285285285285285285285285284285285286285285286287288287287288288288288287288288288289289288289289289289289288289288288288288288288288287288288288288288288288287287286287287287287286286286286285286286286286286286286286286286286287287287288288288288289289289288289289287289289288289289289289289289289288288287287287287288287287287287287287286286287287287287288288288288286287287288288288289289289289289288288288288288288288287288287287288288287288286287288288287287287287288288289288288288289289289289290289290290290291291292291292291291292292293293293293294294293294294295295295296296295295295295296295295296296296296296296296296297297297297296297297297297299299301300299299297299299300299300300300301301300302301301300300300300300299299299299299300299299299299299299299299299300299299299300300300300300299300300300300300300300301300300300299300300300300301301301300300300300300300301301300301301300301300301301302301301302302302303302301302301302302301303303303303302303303302302303303303303304305304305306305306306305304305305304304305305305305305305305306306306305306307307308308308308310309309309309308308309309309309309308308309309308308308309309309310310310310310310310310310310311308309308308308307306306304304303304304303302304302303304304304304305305306307307307307308308308308307307307307306306305304305304303303303302302302302302302301301301300300300300300300301300299298299298298298300298298298299299300300300300300300300301301301301301302301301300300300299299299298297297 303302303301300300301999999999999999999999999999999999999999999999999999999999999999999999999999999999293292291288288288290290291292293294294295296296296296296296296296296296296297297297297296297297297296296296296296296296296296296296295297298299298298297297297297297298297298298298298298298298298298298298298298298298298299299300300300300301300301301301301301301301301301300299300299300299299299300301301302302301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999999294294292291291290290289289290287287288289290291291292293294294294294294294294294294295295295295295295294296296296295295296295295296296295294295295295295295294294294295294294293293294294293293293293293292292292292292291291291291290289288288288287287288288287287286287283284284284284284284283283282283283282283284285284285285286286286286286286286286286287286286286286285285286285285285285285285285285285285284285285286286286286287288288287288288288288288289289289289289289289289289289289289289288288288288288288288288288288288288288288287288287287288287287287287287287287286286287287287287288287287287287287287287287287288288288289289289288289289288289289289289289289289289289289288287288287287288288287287287287287287288287287288288288288288288288288287288289289288288288289289288288289288288288288289288288287288288288289288287287288287287287287287288288288287288288289289289289289290290290290291291290292291292292293293293293293293293294294295294295295295296296296296295295295296295295296296296296296296297297297297297297298298298297297297298300299299299299299300300300301300301300300301300300300299299299299298298298298299299299299299299300300299299300300300300300300300300300300300300300300299299299300300299299299299300299300300301300300300300300301301300301301301301300300300300301301301302302302302302302302302301302302301302303303302302302302303301302303303303303304303304306305306306305305305305305305304305305305306305305305305306305307307307308307307308308310309309309309309308310310309310309309309308307307308309309310310309309310310310309309309309309309309308308309307307306306304303303303304304304304304304304305304304305306306306307307307307308309309308307307307306304305305305305303303303303302302302302302301300301301300300300300299300299298298298297297298298298298298299300299299300300300300301301301301301302302302302301301300299298297298297297 303303303301301300301302999999999999999999999999999999999999999999999999999999999999999999999999999999294293291288288288289291291292293294294294295296296296296296296296296296296297297297297296297297297296296296296296296296296296295296296296298999999298297297297297297297298297298298298298298298298298298298298298298298299300299300300300300301301301301300301301301300301301301300300300300299300300301301302303303302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999298298294292291290289289290289289287287288288289290291292292293293294294294294294294294295295294294294294295296296295296296295295295295295295295295294295295295295295295295294294294293293294294294294294293293293293292292292292292292292291290289289288288288287287287285286999282283283283283283283283283282282283283284285285285285285286286287287287287287287287287286287286286286286286286285285285285285285285285285285285285285286286286286287287288288288288289289289289289289289289289289289289288288289289288288288288288288288288288288288287288288288288287288288289288287287286287287287287287287287288288287288287287287286287287287288289289289289287287287288288288289289289289289289290289288288288288288287287287287287287287288288288288288288288288288289288288288289288289289289289288288288288288287288288288288288288289289289288288288288288288287287287287287287288287288288288289289289289290290290290290290290291291291291292293293293293293293293294294295295294294295296296296295295295296296295295295296296295295296295296296297297297298298298298297296297299298298300301299299300300300300300300300300299299299298298298298298297297297298298298298299299300300300299299299299299299299299299299300300300300300300299299299300299300300299299300300301300300299300299299300300300301301300300300301300300300301301302302302302302302302302301302302302301302302302302303302302303302303305305303303304305304305305305306305305305305305305305305306306306306306305306306307307307307308307308308308309309309309309310309309309309309309309309308309308308309308309309309309309309309308308307308309309308310309307306306305305304303303304304303303303303304304305305305305305306307307307308308308308307307307306306305304304305303305304303302302302302301300300300300299299299298299299299300299298298297297298298297298298299299298299300300300300301301301301301303303302302302301300300298298297297297 302302302302302301302999999999999999999999999999999999999999999999999999999999999999999999999999999999295293291290289289289290292292293293294294295295296296296296297296296296297297297297297297297297296296296295296295296295295296295296296297999999999999297297297298298298298298298298298298298298298298298299298298299299299299300300300300301301300301301301301301301301301302302301301300300301301301301303303303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299298296292291290289289289288288288287287288289290291292293293293293293294294294294294295294294294295294295295295295295295295295295296296296295295294295295295295295295295295294294294294294294294294294294293293293293293293292293293293293291290289288288288287287286285283281282282282282282283282283282282282283283283284285285285286286287287287287287287287287287287286286286286286286286286285286285285285285285285285285285285285286286286286287287288288288289289289288289289289289288288289289289289289289289288288288288288288288288288288287287287287287287288287287287287288288287288288288288286287287288288287287287287287287287287288288288287288288287287287289288289288289289289289290288288288288288288288288287288288288287287287289289290288288288288289289289289289289289290289289289288288288288288288288287288288288288288288287287287287287287287287287288287288287288288288288288288289289289289290290290291290291291292292293293293294293294294294294294295295295296295296296296296296296295296295296295295296296295296296295296296297297297298298299299298297297297299300298298299299299298299299299299299299298297298298298298297297297297298298299299299300300300300300299299299299299298299298299299299300300300300299298299299299299300299298299300300301300300299301300299300300301299300300300300301300301301301301301301302302303302302301301302302301302301302302302302302303304303304304303303304305305305305305305305305305306305305305306306305305306306306306306306306307307308307308308309309309309309309309309309310309309309309309308309308307307308308309308309309309310308307308307308308308308308307306306306306306305303305303303303303303303304304305305305305306307307307308308308308307307307307305304304304304304304303303302302301301301301300300300299299299299300302301300299298299299297298299299299299299299298299300300301302302302303302302302302302302302301299298298297296297298 303302302302302302302305999999999999999999999999999999999999999999999999999999999999999999999999999999295293291289289289290290292292293293293294294294295295296296297297297296297297297297297297297297296296295296295296295295295295296296296297301999999999297297297297298298298298299298298298298298298298298298298298298299299299299300301301300301301300301301301302301302302302303303302302302301301302303303304305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299296294292290289288289288289288288287288289289290291292292293293293294294294294294294294294294294295295295295295295295295295295295296296295295295295295295295295295295295295295295295295296296296295295295294294294294294294294294294294294292290289289288288287287286285284281282282282282283282282281281281282283283284285285285286286287287287287287287287287287287287287286287286286287286286286286286285285285285285285285285285285286286286286286286287288288289289289289288288289289288289288289289289289289289289288288288288288288288288287287287287288288288288287287288289287288288289289288288287287288288287287287288288287288288287287287287288288287287288288288288289289289288289290289288288288288288288288288288289287287288288288289289289289288288288290289288288288289289288289289288288288288288288288288288288288288287288287287287287287287287287287287287288288288288288288288288288288288289289289290290291291291292292292292292293293293294294294294294295295297296295296296296296295295296296295296296295296296296295296296296296296297298298298298298298299298298299299298298299298299299298298297298298298298297297297298297297297297297298298298299300300300300299299299299299298298297298298298299300301301300300299299299299299298299299298299300300300300301301300300299299301301300300300300300300300300301300301301301302301301301301301301301301301302302302303303302302303304304303303303303304304304305304304305305305305305305305306307306306306306306306306306307306307308308307308308309309309309309308309309309310310309309309309308309308308308308308308309309309309310309308309308308308308308307307307307306306305304303303303304303303303303304303304306307305306307308307308307309308307307307306305305305305304304303303302302301301301301300300299299299300299299298298300299299299299299298298298299299298299298299300300301301302303303303303302303302302302302300299298298298297298298 301301301303303302302304304999999999999999999999999999999999999999999999999999999999999999999999999296295293291289289289289291292292293293293294294294295295296296296297297296297297297297297297297296296296296295295295295295295296296296296296297297999298297297297298298298299298299298298298298298298298298299299297299299299299300300300299298301301301302302302302303302303303303303302302302301301302302303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295291290289289289289289288288288288288289289290292292293293293293293293294293293293294294294294295295295295295295295295295295295296295295295295295295295295295295295295296296296296296296297297297296296295295295295294294294294294294292289289288288287287286286286285284283282283283283282282281280280281282283284283284284285286286287288287287288288287287287287287287287287286287286286286286286286285285285285285285285285285285285286286286286286287287288288288289289289289289289289289288289288289289289289289289288288288288288288288288288288288287288288287287287288287287288288288289288288288288288287288287288288288288288287286287287287287287287288289289288288288289289289289289290289289289288288288289289288289287288288289289289289289288289289289290289289289289288289288289289288288288288288288288287289288288288287287287287287287287287287287287287287287288288288288288288288288289288288289289289290290291291292292290293293294294293293294294294295295295296296295295295296296297296295298296296297296296296296296296295296297296296296298298298298299298298298298298297297298297297297297297297297297297297297297297297297297298298298298298299299300299299299299299299298298298298298297298298300300300300300299300299298298298298298297299298299300300300300301300300300300301300300300301300301300301301301301301301302301301301301301301301301301301302302303303303303302303303303304303303303305305305304304304305305305305305305305307307307306307307307307306306306307308308309309308308309309309309309309309309310309309310309309308308308308308308308307308308309309309309308308308308308308307307305305307306306306304304303303303303302303303303303303305305306307307307308308307308307307307307306305305305305305305304303302302302301301301300300299299299299300299299298297300299299298298298298298299299298298299299299299299301302302302302303303303303303302301301300299299298297297297297 301302302303304303302302303304999999999999999999999999999999999999999999999999999999999999999999999999295294292290289289290291292292293293293293293294294295295296296296297297297297297297296296296296296296295296296296296296296296296296296296295295297296297297298298298299298297298298298298298298298298298299299298299298299300299299299299301301301303302302302302303303303303302301302302302302302302302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297292290288288288288288288287288288289289290291292292292293293293293293293293293293293293293293294294295295295295295295295295295295295295295295295295295295295295296296296297297296297297297297297297297297296296296295295294294294999291290289288287287287286286286285285284284283283282282280279279279282283283284284284284285286287288288288288288287288287287287287287287287286286286286286286286286286286286286285285285285285285286286286287287286286287288288288288289289289289289289289289288289289288289289289289288288288288288288288288288288287287288288288288288288287288288288287287288288288288288288287287287288288288287287287287287287287288288288288289289289288288289289290290290289289289289288288289288289289288289289289289288289289289289289288289289289289289289289289288288289289288288288288288288287287287287287287287287287286287287287287287287287287287288288288288288288288289289288289289290290290291290291291292293293293293293294294294294295295295296296296295294294295295296296296296297296296296296295295295296297296296297298298298298298299298298298298298299299297298297297297297297297297297297296297297297297297298298298298298298299299299299299299299298298298297297298299299299300299299299300300299298298298297298298298297299299299298300300300300300300300300300301300301301301301301301301301301301301301301301301301301301301301301301302303304303303303303303303304303303303303304304304304304305305306306305306305306307306307307307307307307306307307308308308309309309309308309309309308309309309309310309309309307307308307307307308307307307308308309309308308307307309308308307306305304307306306305305305304303303303303303303303304304305305306307307307307308308307307306306306305306305305305304304304303302302302301301300300300299299299299299299297297299299299299299299299299298298298299300300299299300300301301302302302303302302302302300300300300299297297297296296 301301302302303303303302302304303999999999999999999999999999999999999999999999999999999999999999999999296295292290289290290290291292293294293293294294294295295295296296296296296297296296296297296296296296296296296296296296296296296296297296295296296297297298298298298299299299298299298299298298298299298299299299299298299300300300299300299300301302302302303304303303304302303303303302302303302303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293299298293290288287288288288288288287288288288289290291292292293293293293293294293293293293293293293294294294295295295295295295295295295295295295295295295295294295295296296296296296297297297297297297297297297297297297296296296295295295294999288287287286286286286286285285285284283283282281280279278278280281282283284283284285286287287288287288287288287288287287287286287286286286286286286286286286286286286286286286286286286286286286286286286287287287287287288289289289290290290289289289289289289289289289289289289289288288288288288288288288288287287288288288287287288287288288288287288288288289289288288287288287287288288287287288287287287287287287288289289288288288289289289289289289288289289288289288289288288288288288289288289289289289289289288289289288289289289289290290290289289289288288288287287287287287287287286286287286286287287287287287287287287287288288288288288289288288288289289289290290290291291291291292293293292293293293293293295295295296295295296296295295295295294295296296296296295296296296296296296296296296297297297298297298297296299298298297298298299297297296297297296296296296296296297297297297297297298298298298298299299299299299299299299298298298298297298299299298299299299299299297297298298297298298298298298298299299299299300299299300300300300300300300300300301301301301301300300300301300300301301301301300300300301302303303304304303303303303304304303303303303304304305305305305305306306306306306306307306306307306307307307307307307309308308308309309309308309309309309308308309308309308308308308308307307307307307308307307308308307308308306307308308308308306306306306306306305306305304304304303303303303304303304304304305305305308307308308307307307306306306305305306305305304303303303303302301301301301301301300299298300299298299301299299299300299299300300299299299299299300300300300302302302303303301302301302300301300300300300299298298297296296 301301301301302302302302302302302999999999999999999999999999999999999999999999999999999999999999999999296295293291290289289290291292293293293294293294294294295295295296296296296296296296297296296296295295296296295295296296295296296296297297297297297297298298299299299299299299299299299298298299299299299299300300299298300300300301300300301302303303304304304303304303304303303303303301302303303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292297297296292289289288288288288287287287288288288289290291292292293293293294293293293293293293293294294295294295296295296296295295295295295295295295295295295295295295296296296296296296297296297297297297297297297297297297297296296296296296295999290286287286287287287286285285284284283282280279279278278279281282282284284284284285286287288288288287288288288288287287287286286286286286286286286286286286286286286286286286286286286286286286286286286286287288288288288288289289289290290289289289289288289289289289289289289289289289288289288288288288287287288288288288288287288287288288287288288288288288289288288287288287287288288288287288288288287287287287287287287288288289289289288288288289289288289289289289289288288288289289289290289289289289289289289289289289289289288289289289290290289288289288287287287287287286286286286286287285286286287287287287287287287288288288288288288288288289288288289289290290291291290291291290292292292292293294294294295295296295295295296295294295293295295294295295294296295294295295296296296296296295297297298297297297296297297296296298298299297297297297297297296296296296295296297297297297297298298298298298298298299299299299299299298299298297298298298299299297298299298298299297297298298297297298297298299298298298298299299298299299300300300300299300300300301301301302301301300300300301301301301301301301302302302303302303304303303303303303303303303303303303304304304304305305305306306306306306306306306306307307306306306306307306308307307308309309308308309309308308308308308308308308308308308307308308307307308307306307306307307308307309310308308308309307306306306306306306306304306304304303303303303304304304304304305305306307307307307307307307307306306306306306305305305304303302302302301300301301301301299299299299299299302301299299299299300299299299299298299299300300300301301302302302302302302302301301300301300299299299299298297297296296 301301301301301301302302301301302302999999999999999999999999999999999999999999999999999999999999999999296295293292290289290290291291292293294294294294294294294294295296296296296295295296296296295295295295295296296296296295295296297297298297297297298298298298298299299299299300300300299299298298299299299300300300299299300301301300301301301302304303304304304304303303304304303303303303303304305302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296294291289289288288288288288288288288288289290291292293294294293293293293293293293293294294295295295295295296296296296296296295295295295295295295295295295295295295296296296296296297297297297297298298298297297298297297297297297297296295288288288287287287287286285284284283281280279278277277278279281282284284284285286286287288288288288287287288288287287287287287286286286286286286286286286286286286286286287287287286287286286286286286286287287288288288288288288289289290290289289289289289289289289289289289289289289289289289288288288288288288288287287287287287287287287287287287288288288288288289289288288288287287287287287288288288288288288288287287287288288289289289289289289289289289290290289289289289289288289290290290290289289289289289288289289289289290289289289290289290290289289288288287287287286286286286285286286286286286286286286287287287288288288288288289289289289288288288288288289289289290291290291290292292292292293293293295295295295295295296296295294295294295295294295295294295295295295295296295295296296296296297297297297296296296297297296297297297299297297297296296296296296296295296296296296296297297297298298298298298298299298298299299299299299298298298298298298297298298297296297298298298298298296297297297298298298297298298299299299299299300300299299300300300301301301301301301301301301301301301301301301303303301303302303303303302302303303303303303302303303303304304305305305305306306306306307306306306307306306306306306306306306306306307307308308309308308308308308309309308308308308308308307306306307308308308307307307307306307307308307308308308308307307307306306307306306306306305305305304303303303303303304305305305305306305306307307307307307307307306307307306306306305305304304302302302301301300300301300299299299299298298299299299300300299299299299298299299299299300300301301301302302301302302302301301300302300300300299299298298298297297297 301301300300301301301301301300300299299999999999999999999999999999999999999999999999999999999999999999296295293292290289289290291291292292293294294294294294293294294295295295295295295296296295294295296295295296296296295295296296296297297298298298298298298298298299300300300299299300299299299299299299299300300301300300301301301301302301301302302303304304304305304304303304303303303303303305307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297294291292291290289287288287287287288288288288289290290291292293293293293293293293293293293293294294295295295295295296296296296296296296295295295295294294294295294295294295295296296296296296296296297297297298298298298297297297297297297297296295293291289288288287287286285284283282280279278277277277279280281282284284284285286286287288288288288287287287287287287287287286286286286286286286286286286286286286286287287286286286287286286287287287287287287288288288288288288288289290290289289289289289289289289289289289288288289289289289288288288288287287287287287287287287287287287287288288288289289289288289288289289288288288288287288288288288288288288288288288288288287289289289288289290290290290290290290290290289290289289290290290290289289289289289288289289290289290290288290290290290288289289288287286287287286286286285286286286286286286286286286286287287287287288288288288288289289288289289288289289289290290291291292292291292292292293292294295295295295295295295296295295295294294295295294294294294295294295296296296296296296296296296296297297296296297296297298297296298298297297297296297296295295295295295296296296297297297297297297298298298298298299299299298299299299298297297298298297297297297297296297297299299298297297296297297297298299299298298299299299299299299299299300300300300301301301301301302302302302302302302301302302303303303303303303303302302302303303303303303303303303304304304305305305306306306306306307306306306307306306306306306305306306307306307307308308308308308308308309308308308308306308308307307307307308308308307306306307307306307307307307308307308308306306306307307306307306306306306306305304303302303303304303304305305305306306305308308307308307307307308308307307307307306305304304303303302301301301301301300299299299298299299299299299300298300300299299299299300299299300301301301302301301302301302302302300300301300299299298298297297297297296296 300300300300300301301301301301300298299999999999999999999999999999999999999999999999999999999999999999296296294292290289289289290291291292293293293293293293293293294294294295295294294294999294294295295295295295295295295296295296296296297297297298298298298298299299300300300300300300299299300299299299299300300300300301301301301300301301302303304304304304305304305304303303303303303305305306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296294292290288287286287287287287287287288288289290291292292293293293293293293293293293293294294294294295295295295296296297297296296296295295295295294294294294294294294294295295295296296296296296296297297298298298298298297297297297297297296293292290289288287287286285284283282280279278277277277278279280281282283283284285285286287288288288288287287287287287287286287286286286286286286286286286286286286286286287287287287287287287287287287287287287287288288288288288288288289289289290289289289289289289289289289288288289289289289289287287287287286286287287286286286287287288288287288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288289289289289289289289289290289290290290289290289290290290290290289288289289289289289290290290290289289290289289287288289288287287287286286285285285285285285285285285285286285286287287287287287287287287288288289289288288289289289288289289290290290292292292292293292293293292294295295295295294295295295295295294295294295294293294295295295295296296296296296296296296296296296297297297297297298298297297297296297297297296297296296295295295296296296296297297297297297297297298298298298298299298298298298298295297297297298298297297296296297297297299299298297298297297298298298299299299297299299299299299299299299299299299300300301301301301302301302303303303302302302302302303303303303303302303302303303303303303304303303303304304304304305305305305306306306306306306306306307307307307306306306307307307307307308307308307307308307308308308308308308307307307307308308308308308308307307307307307307308307306307306307307305305305305305306306306306306305304303303302302302303303304303303304305304305308306308307307307307307307307307307307306306305304304304303302302302301301301300300299298299299298299299299300299300299299299300300301300300300300301301301301301301301302301300300300300299299298297298297297297296296296 300299299300300301301301301301301301301999999999999999999999999999999999999999999999999999999999999999296295294292290290289289290290291292293293293293293293293293293293293294294293294295295294295295295295295295295295295295295295296295296297297298298298299299298299298299299299300299300300299299299300300300301301301302302301301301301302302303304305305305305305305305304305303305303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296292287287286286286287287287287287288288289290291292292293293293293293293293293293293294294294294294295295295296296297297296296296295295295295294294294294294294294294294294294295295295296296296297297298298298298297297297297296296296296292291290289288288287286284283282281279277276276277277278279280281282283283284285285286287288289288288288288287286287286286287286286286287286286286286286286286286286286286287287287287287287287288287287287288288288288288288288288288288288289289288289289289289289289289288288289289289289289288288288288288287288288287287286286286287287288288287288288288289288288288288288288287288288287287288288288288288288287288288288288288289288288289289289289289290290289289290290289289290290290290290290290289288289289289289290289289289289289289289288289287287286286286286286286285285285285284285285284284285286286286286286286286286287287287287288287288288288288288288288288288289290290290291291292291291292292293294295295295295295295295296296295295295295295294295294294294294294296295296295296296295296295295296296297297297297298298297298298298296297297297297296296295296295296296296296297296296297297297296297297297298298298297297297296296295294297297295296296296296296296296297298297298298298298298299299299299299299298298298299298299299299299299299299299300300300300300301301301301303303302302302302302302302303303302304302302302303304303303303303303303303303303304305305305305305305305305306306306306307307307306307306306306306307307307307307307308308307308308308308307308307308306308308308308308308308308308306306306307307307308306306307306306306307307305305305306305306305304304304303303302302302302303303303301303304304306307306308307308306307307307307308307307307306305304305303303302301302301301301300300300299299299298299300299300301299299299299300301301301300301300301301301302302302302301301300299299299299298298297297297297296297296296 299299298299300300301302302302302303306999999999999999999999999999999999999999999999999999999999999999296295294293291290289289289290291291292293293293292292292293292292292999293293294294295295295295295295294295295295295295295296296295296297298298298298298298298298299299299299299301301300299299300300301300301301301301302301302302302302302303304304306306306307307307305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293287285285285286287287287287287288289289289290291292293293293293293293293294293294294294294295295295295295295296297297296296296295295295295294294294294294294294294294294294294294295295296296297297297298298298297297297297296296295295293292290289288286286285284282281279277276277276277277278279280281282282283283285285285287288289289288288287287287287287287286286286287286286286286286286286286286286287286287287287287287289288288287288288288288288288288288289288288288288288288289289289289289289289288289289289289289289290288288287287288287287288288287287285286287286288287288289288288288288288287288288287288287287287288288288288288288288288288288288288288288288289289289288289290290289289289290290290290290290290291290290290290289289289289289289290289289289289288289288288287286286286286286286285284285285285285283284285284284285285286286286286285286286287287287287287287287287287287288288288289289289289290291291292292292292292292294294295294294295295296296295296295294295296295294294294294293293294295295296295295295295295294295296296297297296298298298296296296297296296297296296296296295296296296296296297297297297297297297297297297297298298298297297296297297297297295295295295295295296296296298298298297298298298298298298299298299299299299298297298299299299299299299299300301301301300300300301301302302303302301302302302302303303302302302303302302303303303302303303303303303303304304305304305305305305306306305306306306306306307306307306306306306307307307307307307308308307307308308307307306308308308308308308309308308308308309306306307307307307306306307307307306307306307307307308307306306305304304303303303302303302303304303304303303304305306307307307307307307307306307308308308307308306305305304304303302301302302302302301300300300300299300299299299300300299299298299300300301301301301301300301302302302302301301301302302299299298298298298297297297297296297297 299298298298299299301301301302302302301999999999999999999999999999999999999999999999999999999999999999295295294293291290289289289290290291292293292292292292292292292292291291292293293293295295295295295294295295295295295295296296296296296296297297297298298299298298299298299299300301299300300300301300302301301301302301302301302302302303303305304306303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295287284284285286287287287287287288289289289290291292292293293293293293294293294294294294294294295295295295295296297297297296296295295295295294295294294294294294294294294294294294294295296296297297297297298298298298297297296295295293291290289288287285284283282281279277277276276277277278279280281282282283283284285285286286288288289288288287287287287287287287287286286287286286286286286286286286287287287288288287288288289288288288288288288288288288289288289289288288288288287289288288288288288289289289289288288288288288288288288288288288287288287287286286286287287287286287288287288287288288288288288288287288287287288288288288288288288288288288288289288288288289289289289290290290290289289289290290290290291290290290291290290289289289289290289289289289289289289289288288287287287286286287286285285285285285285285284285285285285285286286285285286286286286286286286287287286287286288288287287288289289291290290290292291292292292293293294293294295296295296296295294295295295295294295293294293294293293293295295295295295295295295295295295296296298297298297296297296297298296297296296296295296296296296296296297297297297297297297297297297297297297297297297295297297297297295295296295295295295296296297297298298297298298298298298298298298299299299297297298299298299298299299300300301301301301301301301301302302302302302302301302302302303302302303303303303303302302303303303303304304304304304304305305305305305306306306306306306307307307307307306306306306307307307307307308308308308308307307308307306308308308307307307307307308308307307306306306306307307307308307308308309308307307308308308307306305305305304303303303303301301303303303303304303305306306307307307307308308307307307308308307307307306306305304303303301302302302301301301301301301300299299300299299299300299299299299299300300301301301300300302302302302302300300301301300298299299298298298297297297297297297297 300297297298298299301301301302302302302303999999999999999999999999999999999999999999999999999999999999999295294293292290289999289290289290292292292292292291291291291291291292292292293293293294295295295295294294295295295296296296296297297297297297298298298298298299299297298298299300299299300300300302302301301301302301302302303303303303306305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287282283285286287287287287287288288288289290291291292293293292293293293294294294294294294295295295295295296296297297297297296296296296295295294295294294294294294294294294294294294295295296296296297297297298298298298297296295295292288289288287286285283282281279277277277277277277277278280281281282283283283284285285286287289288289289288288288287287287287287287286286286286286286286287287287287287287287288288288288288288288288288288288288289288289289288288288288289289288288289289289288289288289288288289289288288288288288288288288288288288287287287287286286287287286287287288288286288288288289289288288288288288288288287288287288288288288288288288289288289289289289289289290290290291290290290290290290290290290290290290290290289289288289289289289289289288289288289288287287287287286287286286285285285285284284285284284285285285286286285285286286286286286287287287286286286287287288287287288288288291290291289292292292291293293293293294294294295296295295295295295296295295295295295295294294295294295294294295295295294295295295295294295296296297297298297297297296297297298297297297296295296295296296296297297297297297297297297297297297296297297296296294295296296294295295296296295295296295295296297298298298298298298298298298298298299299299298297298298298299299298299299300300301301301302302302302301302302302303302301301302302302302302302303303303303302303304304303304303303304304304305306304305306305305305307307307307307307306306306306306305305305306305307306307308307306308308307307307307308308308307308307307307307308308307307308307306307307308308308308308309309308308307308308308308306306305304305303303303303302302302302303303304304305305306304306307307307308308308308308308308308307306306305304304303302301302302301301301301301301300300300300299300300299300299299299299300300301301301301301303304301301301301300300299299299299299299298297297298297297297297298 999999296298298298300301301302303303303302302302999999999999999999999999999999999999999999999999999999999999999294293291290289290289290290292292292292291291291291291291291292293293293294293294295295295295295295295295295296296297297297298298297297298298298298298299299298298298298298299300300300302302302303302302302302302302303303303304305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286282282284285286287286287287287288288289290291291292293293293293293293294294295294294294295295295295296297297297297297297296296296296295295294294294294294294294294294294294294294295295295296297297297298298298297298297296295295289290290288286285284283281279277277277277277277277277279281281282282283284284284285285286287287287289289288288288287287287287287287287287287287286286287287287287288287287288288288288288288288288288288288289289289289289289288288288289289289289288288289289288288289289288289289289288288288288287288288288288288287287287287287286286287288287287286287286288289288289289289288288288288287287288287287288288288288288288288288289289288289289289289290290291290291291290291290290290291290291290290289288290290289288289289289289289289289289288289288287287287287286287286286286285285285285284284285285285285286286286286286286285285286287287287286287287286286287287287287288288289289290290290291292292292293292293294293294295295295295296295296295295296296296296295295295295295294295295294295295295295296295295295294295296295296297298297297297297296298298297297297296296296296296297297298298297298298298298297297297296296297297296296295296296295295295295295295295295296296296297298299298299299298298298298298298298299298300300299300299298299299299299300300301301301301302302302302302302302302302302301301302302301302302303303302303303303304304304304304304304304305305305304305306305305304306306306306306306306306306306306306306304305305306307307307308308308308308307307307308308309308308308306307308307307308308309308307307307307309309309309310309308308308308308308307307306306305305304303303303302302302302303304303304304306306306306306307308309308309308308309309308307307306305304304303303302302302302301302302301301301301300300300300300301301301300299299300301301301301301303302302303302301301301300300300299299299299299299298298298298298298298298 999999999296298298299301302302302302302303302301301301999999999999999999999999999999999999999999999999999999999999294292291290291289290290291292292291291291290290290291292292293293293294294295295296295295295295295296296296297297297298296297298298298298299299300300299298297297298298298298301301301303302302302302302303303303303303303303305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285283282283285286286286287287288288288289290291291292293293293293293293293294294295294294294295295296296297297297297296297296296296296295295295294294294294294294294294294294294294295295295296296297297298298298298297297296295294293291290287286284283282279277277277277277277277277278280281281282283284285285285284285285286999286288288288288288288287288287287287287287287287287287287287287287288288288288288288289288288288288288288289289289289288288289289288288290290288288288289289288288288288289289289289288287287288288287288288288288288288288288288288287287287287287288288288288288289288289289289288289288288288288288287287287287288288288288288288288288288288289289289289289289290290290290290290290291291291290290289289289290289289289289289289290289289288289289289288288287287287288287286286285285285285284285284285286286285285286286286286286286286286287287287287287287286287287287287287288288289289290290290291291292292293293293293294294295295296295295296295296296296296296295295295294295295294296296294295295295295295295294294295295295296296297297296297297297297297298298297297297297297297296297298298298298297298298298297297296296297296297297296295296296295295295294295295295296296295297298298299299299298298298298297298298299299299300300300300299299300300299300301301301301302302302302303302302303302303302301301302302302303303303303303303304303304304304304304304305305304305305305305305305305305307306306306306306306306306307307306306306306305306307307308308308308307308309308308308308308309308308308308308307307308309309309308308308309308308309310310310309308308309309308308307307306306305304303304303304304304304304304304305304305306306307307306307308308308308308309308308308308307307305304305304303303302302302302303302301301301301301302301301301301301302301300299300301301302302302302302303303301301301301301301300300300299299299299299298298298298298298298 999999999297298298299301301301301302302302301301302300301999999999999999999999999999999999999999999999999999999999294293291291291290290289291291291291291290290290290290291292293293294295295295295296296296295296296296296297296296296296297297297298298298298299299299299298297297298298299299300301302303303302302302301302303303302303303302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283284284286286286286287288288289289289291291292293293293293293293293294294294294294294295295296297297297297297296297296296296296296295295294294294294294293294294294294294294295295295296297297298298298299299298297296295293291289288286285283281279278277277277277277277277277278280281281282284285285286286284284999999999999288288288288288288287287287287287287287287287287288287288288288288288288288288288289289289288288289289289289289289289289289289289289289289289289289289289288289289289289289289289289288288288288288289289289289289288288289288288288288288288288288289289289289289288288288287288288289288287288287287287287287287287287288288288288289289288289289289289289289289289289290290291291291290290290290289290290290289289289289289289289289288289289288288287288287287287286287287286285286285286285285285285286286286286286285286285286286286287286287287287287286287287287287287287287288289289290290291290291292292293293293293294294295295295296296296296296296296295295296296295295295295296296296296296295296295296296295295296296296296297298297297297297298298298298298297297297297297297297297298298298297297298297297297297296296296297297297296296295294294294295294294294295296296295297298298299299298298298298298298298298299300299300300299299300300300300300300301301301301301301302302302302302303302302303303303302303303303303303304303303303304304304305304304304305304304305305305305305304307308307307306306306306306306306307308307306306306307307308307307307308308308308309308308308308308308308308308307307308308308310310309310309310309310310310309309307310308308309308308308307307306306304303303303303304305305305305304305306304305305305306306307307308308307308309308308308308308307306305304304303303302303302302302303303302301301301301302301302301301301300300300301301301302302302302303303302303302302302301301301301299300300299299299299298298298298298298298 999999999999298298299300299299301301301301301301301301300299999999999999999999999999999999999999999999999999999999999294293291291291290289290291291291290290289289290290291292293293294295295295295295296295296296296296295295297296296297297297297298297298298299299299299298298297298299298299300302302302303302302301302302302303302302302304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283288284285286285286287287288289289290290291292292293293293293293293294294294294294294295295296296297297297296297297297296296296296295295294294294294293293293294294294295295295295295296297297298298299299299299297296294291288288287286284282280277277276276277277277277277277278280281282283283284285286287284284999999999286287287287287288288287288287288287287287287287287287288288288288288288289289289289289289289289288289289289289289289289289289289289289290290289289289289289290289289289289290289289288289288289289289289289289289289289289289288289289289288288288289289289289289289288288287288288288288288288287288287287287287288288288288288288288288288288288289289289289290290290290290290291291290290290290289289290289289289289289289289289288288288288289288288288288287286287287286286285286285286285286285286285286286286286285286286286286286286286287286286286286286286287286286286287287288289290290290290290291291293293293293293294294295297296296295296295296296296295296295295294294294296296296294296296295295296297297296296296296296297297297297297297297298298298297297298297296296297297297297297298297298298297297297297297296296296296296296296296295294294295294295295295295295295296297297298298298298298298298297297298298299300299300299299299299299300300300301301301302301300301302301303302302302303302302303303303303302303303303303303304304304304304304305304304305305305305305304305306307306307307306306305305306306307306307307307306307306307307307307308308308307308308308308308308308308309308309308307308308309308310309310310310310310310311310309309308309309309309309308308307306306304303304305304304304305306305305305305306305304304304305306307307307307308309309308308307306307307306306304304303302302302302302302303302302301301301301302301300301300300301302301302303302302303303303303302302302302302301300301302301301300300300299298298298298298298297298298 999999999999999297297300299999300301301301300300300299299300300999999999999999999999999999999999999999999999999999999999293292291291290289290290291290290290289289289290291292293293294295295295295295296296296295295295295296295296296297296297297296297297298299299300299298298297298298298300300300301302302301301301302302302302301302301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291287283285285285286287288288289289290291291292293293293293293294294294294293294294294295296296297296296296297297297296296296295295295294294293293293293293294294294295295295295295296296297298298298299299298297296294293291289286285283280277276276276276277277276277277277278280281281282282282283284286289999999999999287287287287287288288288287287287288288288288288288288288288288288289289289289289289289289289289289289289289289289289289289289289289289290290290289289289290290289289289290289289289289288289289289289289289289290290289289289289289289289289288289289289289289289289288288288288287288288287287287287287287287287287288288287287288287287288288288289289289289290290290290290291290290291291290290290289288290290289288289289288289288288287288288288287288287286286286286286286286286285285285285285285285286286286286286286286285286286287285285286287286287284287287287288286287288288289290289289290292292292293292294293292293294294295296295295295296295295296295295295295295294295295295294295296297295295295296297297296296296296297297297298299299297299297298298297297297297296297297297297297297297298297297297297297297296296296296296296294294294294295294295295295295295295296295295297297298298298298298298297298298298298299299299298298298299299299299300300301301301301300301301301303301302302302302302302303303302302302303304303303304304304305305305303303303305304305304303304304305305305306306306305305304306306306305306306306306305305307307306308307307307307307307307308307308308307307308308308308308308308309308308309309310310309310310310310309309310310310310309309307305304305304305305304304306306305305304304304304304304304304304305305305306307307307309307307307306306306306305305304304304302302302302303302303303303302302301302301301300300300300301301302302302302303303302302302302302302302301301301301301301300300300299299298298297298297298297297297 999999999999999999295299999999999299300301299299298298299300299300300303999999999999999999999999999999999999999999999999294293291291290289289289290290290289289289289290291292292293294294294294295294295295295296295295294295295296296296296296296296296296297298299298299299298298298298300300301302301301301301301302301301301302302302300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290296292289283284283286285286287288288289290290291292292292292293293294294294293293293294294295295296296296296296297296296296296295295294294294293293293293293293294294294295295295295295296297297297297298298299299298296294292288286285284281278276276276276277277276276277277277278280281281281282282282999291290291999999999287287287287287287287287287288287287287287287287288288288288288289289289289289289289289289289289289289289289289290289289289289289289289289290289289289290290289289289289290290289290289289289290289289289289289289290289290290289289289289289288288288288289289289288288288288287287287287286287286287286287287287287287287287287287287287287288288288288289289289290289290290290290290290290290289289289289289289289289289288288288288287288288287286287287287285285285285285285285285285285285285285284285285285286285285285285285286286286285286287287286287287287289288288288287287288287289290290291292292292293294293293293293293293293295295295294295295295295295295295295295294296294295295295295295294295295295295297296296295294295296296297297296299299298296296297296297297297297297297297297297297297296296296297297296296296296296294294293293294294294295294294295295295294294293294295295296297297297297297297297297297298299297298298298298299299299299300300300300301300300300300300302302301301301302302302303303303302302303303303303304304304304303303303303304304303304305303303304304305304305305305305306306306306304305306306306306306306305306307307307307306307307308308308307307307307308308308307308307307307307307308309309309310309309308310309309309308309309310309308308308306306305305305304306305305305305304304304304304304304304304304304305306307307306307307307307306306305305305305304304304303302302302302303303303303302302302301301300301300301300300301302302302302302302302302302301301301301301300301301301300300299299298298298298297297297297297297297 999999999999999999999999999999999999999301300299999298298300299299299301302999999999999999999999999999999999999999999999294294292292291290290290290290290289289289289290291292292293293294294294294295295294295295295295294294295296295295296295296296295295296297298299299298298298298298299300300303302301301301300301300301302302302300301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290295290288285283282283284285287288288289289290291292292292292293293294294293293293293294294295295295296296296296296297296296296295295294294293293293293293293293294294294294295295295295296297297297297297297298299298296293290287286285282279276275276276277277276276276277277277278280281281281282282999999290290291999289288288286286287287287287288287287287287287287287287287287288288288289289289289289289289289289289289289289289289289290290290289289289289289289289290289289289289289289288289290290289290290290289289289289289289290290290290290289289288289289289289288288288289288289288288288287287286287286286286286287287287287286287287287287287287287287287288288288288288288288289290289289289290289289290289289289289289289288289289288288288288287287288287286287286286285285285284284285285285285284284284284285285286286285286285285285285285286286286287287287287287287288288288288288288288288288288289290291292292293293293293293293292293293293293294294294294294295295295295295295295295295295295296296295294294295295294294295295296295294294296295296296297297300298299296296297297298297297297297296297297297297296295295296296296296296295295294294294294294293294295295295295294294295294294293294295295295297297297297297297297297297298298298297298298298298299299299301300300300301300299300300301301301303301301301302302302302303302303303303303303303303303303303303303303304304303303304303304304304304304304304305305305306306306305306306307306306305305306306306307307307307307308307307307308308308308308308307307307307306307307308308309310310310310310309308309309309309309309309309309307307306305305306305306306306305305305305304304304304305304304304304304305306307306306306307307306306306305305305305304304304304303303303303303303302302302302302302302301301301301301301302302302302302302302302302302302301301301300301301300300300300299299298298298297297297297297297297297 999999999999999999999999999999999999999298999999999999300299300299299299299301999999999999999999999999999999999999999999999294293292292290290290290289289289288289289290290291292292293294294294294294294295296295295295295295295295295295295295295297296294296297296298298298298298298298999999301301302301302301300300300300301302302300300301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290292289288287285283283284289286287288289289290291291292292292293293293294293293293294294295295295295295296296296296297296296296295295295294293293293293293293293294294294294295294294295296297297297297297297297298297295293291289287283280277275275276276277277276276276277277277278280281281281281999999289290289289289290289289287287287287287287287288287288288287287287287288288288289289289289289289289289289289290289290289290289290290289289290289290289289289289289289289289289289289289289290290290290290290290290290290290290290290291290290290290290289289289289289289289289289289289288288287287287287287286286286286287287287286287287287287287287287287287288288288288288288288288289289288288289288289289289288288289289288289288289289288288287288287287286287287287286287285284284285285285284284285284284285285285285285285285286286286285285286287287287287287287287288288288288288289289289289289288289290291291292292292293293293293293293293293293294294294294294295295295295295295294294295294295295296296295293294295295296296295294294295295296294295297296297297298299298297298297297298297296296296297296297297295295295295296295296296296295295294295295294294294295295295295295294294295295294294294294295295296296297297297297297297297298297297297298298298298299299300300300300300300300300300300301301301301301301301301304303303302303303303304303303303303303304304304304303303303303304304303303304304304304304305304304306306306306305306307307306306306306306306306306306307306307307307307308308307308308308308308307307307307308307308309309310310310310310309308309309309309308309308308307307307307305306306306306305306306306305305304304304304305305304304305305307306307307306305306306306305306305305305305305305304304304303304303303303302302301301302301301301301301301301301302302302302302302302301301302302301301301301301301300300299299299298298298298297297297298298297297297 999999999999999999999999999999999999999298999999999301300299299298299298299299300299999999999999999999999999999999999999999295293293292291290290289289289289288288288289290291291292293293293294294294294295295295295295295295295295294294295295295295296295294296296297299298298298298999999999999300301300301302302301299299302301302303302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297291288287286286284283284286286287288289289289290291291292292293293293293293293293294294294294294294295295295296296297297296296296295295294293293292293293293293293294294294294294294295296297297296296296296296296296291292290288284280276276275276276277277276276276277277277277279280281281281281999288289289289290290290292289288287287287286287287288288287287288287287288288288288289289289290290290290290290290290290290290290290289290289290289290290289290289289290290289290289290290290291291291291291290291291291291291291291291291291291291290290290290290290290290290289289289289289289288288288287287287286286286286286287287286287287287287287287287287287287287288288288288288289288288288289289289289289289289289289288288289288288288289288288288288286287287287286286286285285284286285285285285285285285285286285286286285286286286285286286287287288288288288288288288288288288289289289289290290289289292291292291293292293293293293293293293293293294294294294295295294295295294294295293295294295296296296295294294293294295295295295295295295295295295296297297296298298298295295297297296297297297296296296297297297296296296296296296296296295294295295295294294295295295295296296295295295295295294295295295296296296297297297297297297297297298297298298299299299299300301301300300300300300301301301301301301301302301302302302302303303303303304303303303303303303304304304303303304303303305304304303303303304304305304304305306306306306305306307307306306306306306307306306306306306307308307307307308308308308308308308308307307307307308309309309309309309310310309308308309309308309310308308308307308306307306306306306305306306306305305304304304304305305304305305306306307306306306306306306306305305305305305305305305305304304304303303303302302302302301301301301302302301301302302302302302302302302302302301302302301302302301301301300299299299298298298298298298298298298298297297297 999999999999999999999999999999999999999999999999999297298298298298298298298299299299298999999999999999999999999999999999999999294294293291290290290290289289288288288289290290291292293293294294294294294294295295295295295295295294294293294294295294295294294294296297297298298297295999999999999999301299302302301302301301304301301302301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290286286286286285284284285284285287288289289290290291292292293293293293293293293294294293293293294294294294295295296296296296296295295294293293293293293293293293294294294294294293294295296296296296295294293295287286289286283279276276276276276277277276276276276276277277278279281281281280999999999999288287288289291292289287287286286286287287288288287287287288288288288289289289290290291290291290292291292291291291291291290290290290290290290290290290289289290290290290290291291291291291292292292292293293293294293292292292292292292292291291291290291291290290290289289290289289288288288288287287287287286286286286286286287286287287287287287288287287287288288288287288288288288288288289288289289289288289288289289289289287288288289287287287288286287287287287286285285286284284285285285284285285285285285285286286286286286286286286286287289288288288288288288289288289289289289290290289290289291292292292293293293293293293293293293293293294294294294294294295294293294294294294295295294295295295295295295295293293294294296294295295295295295294296297296296298298298296296296297296297297297296296297296296296297296296296296296296296295295295295295295295295295296296296296295295295295295295295295295296297296297297297298297298298298298297298298299299300300301301301300300300301300300300300301300301301302301302302301302302303303303303303303303303304304304304303303303304304304304304304303303303304304305304305306306305306307307307307307306306306306306306306305306306307307307308307308308308308308308308308307307307307308309308310309310309309309310309309308311310309309308308308307307306305307306306306305305305305305305305304304304304305304305305305306305305306306306306306306305305305305305305305305305305304304304304303303302302302302301301302302302301301302302302301301301302302302302302301302301301301301300300300299299298298298298297297298297298298297297297297297 999999999999999999999999999999999999999999999999999297297297297297296296297298299298299299298299999999999999999999999999999999295294293292291290290290290289288289289289290290291292293293293294294294294294295295295295294295295294292292293294294294293294294295295297297299297296295999999999999999999999999999999999999302304303303302301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284285286285285285285285285286287288288289290291292292292292292292292292293293293293293293293293293293294295295296296296295295295294293293292292292292293293294294295294293293294295296296296296294291291999999286284278275274275275276276277277276276276277276276277277277279280281281281999999999999284284285288290291290286286286286286287287287287287287288288288288288289289289290290290291291291292292292292292291291291290290290290290290290290291291290290290290290290291291291291292292293293293292294294294293293293292292292292292292292291291291291291290290290289289289289289288288288288287287287287287287286286285286286286287287287287288288288287287287287287287287287288287288288288288288289288288288288288289288288289289288287287286286286287286287286286286285284285286286285285285284285285285286285286286286286286285286286287286287287288289287288288288289288288289289290290289289291291290291293292292293293293293292293293293293293293293294294293293293293293293293293293294294294293293295295294294294294295294294294294295295294294295294296296297296296297297296296295296296297296296296296296296296296297296296296296295296295295294295295295296295296296296296295295295295295295295295295296296296296296297297297297298298298297298298299299300300300300300300300300300300301300300300299300299300301301301301301302302303303303303302303303303303304304305304303304303304304304304304303303303305304305305305305305307306306306306307307306306306306306305305305305305305307306307307307307307308308308308308307307307307308307308308310308309308308308308309310310309310307307308307306306306305305305305306305305304304304304304304304304304304305305305304304305304304305305305305305305305305305305305305305305304304303303303303303302302301301301301301301301301301301301301301301301301302301301301301302302301301301300300299299298298298297297298297297298297297298297297297296296 999999999999999999999999999999999999999999999999999999999297999999295296297298298298298299299299299999999999999999999999999999296295294293291291291291290290289288288289289290291292292293293293294294294294294295294294294294294293292293293294294294294293295295296296297298296999999999999999999999999999999999999999999999999304303302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283284287289284284284284285285286287288289290291291292292292291291292292292293293293293293293293293293294294295295296296296295295294293293292291292292293294295294294293293293294296296295295295293290999999999999283274273274275276276276277276276276276276276276277277278280280281281999999999999999283284284286288291999284285285286286287287287287287288288287288288289289289290290290290291292291292292292292292292292291291290291291290291291291291291291291291291291291292292293294294294294294294294294294294294293294293293293293292292293292292292291291290290290290289289289290290289289289288287288287287287286286286286286286287288288288288288288288288288288287287287287287287288287288288288288288288287288287288287287288288287288288287287286286286287286286285285284285285285285285285285285285284287286286286286286287286287287285286287287288288288288288288289288289289290290290289290291291292292292292293294294292293293293293293293294293293294294294293293293292293293293292293294293294293294295294295295294294294294293294294294293294293294295297296296296297296296296295295296296297296296296296297296296297296296296297296296296296295295296296296296296296296296295295296296295295295296296296297296295296297297297297298298298298298298299299299300299300300300300300300300301300300300299300300300301301301300300302302302304303303303304303303303304304305304304304304304304303304303303302304304304305305305306305307306307307307307306307306306306305306306305306306306307307307307308307307308308307307307307307307307308307308308308309309308309309308307307308309308308307307306306305305305304304304304304304303303304305305305304304304304304305304304305305305306304304304304304305305305305305305305305305304304304303303303302302302301301301301301301301301301301300300301301301301301301301301301302301301301300299299299299298298297298298298297297298298297297297296296296296 999999999999999999999999999999999999999999999999999999999999297298999999999298298298298298298299299299999999999999999999297999999296296294292292292291290290289289288288288290291291292292293293294294294294294294294294294294293293292292293293294293293293296296296296297296296999999999999999999999999999999999999999999999999999999999301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288286282282285286285286287288288289290291291291291290291291292293293293292292292292292292292293293294295295296296296295294293293292291291293293294294294293293292293294296296294294293293292999999999999271272273274275276276276277276276276276276277277277278279280281281280999999999999999284283284999999999999284285285286286286287287287287288288288289288289289290290290291291291292292292293292292292292292292291291291292292292292292292291292293293293294294295294294295295295295296296296296295295295294294294294294294294293293293292293292292291291290290291291290290291290290289289288288287287287286287287287286287288289289289289289288288288288288287287288287288288287288288288288288288288287288288288288287288288288288288288288288287287287287287286286285286285285285285285285285285285286286286286286286286287287287286287288289288289289289288289290290289290291291290290291292292292293293293293292293293293293294293294294294294294294294293293293293293293293293293294294294292293294294295295293294295294294294294294294294293294294295296296297297298297296296296295297297296296296295297296296297297297297297296297296296296296296296297297296297297297297296296296296296296296295295295296296296296296298298298297297298299298299299299299299299300300300300300300300301301300300300301301301302301301302301301302302303303304303304304303304305305304304304305305304305304303303303303304305305305306306306306307307307307306307307307307306306306305306307305307307307307308308308307308308306307307307307307307307307309308308309309309309309309308308307308307309308307307307306306305304304304304304305304304304304305305305305305305304304305304304305305304305305303304303304304304304304305305305305305304304304303303303303303302301302302302302302301302301300300300300301301301301301301301301301301300300300300300299298299298297298298297297297297297297297297297296296295 999999999999999999999999999999999999999999999999999999999999999297999999999298298298298298298298299299999999999999999999299999299297297295294293292291291290289289288288289289289289290291292293293294294294293293292292292292293293292292293294292293292293294295296297296296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289287285284284286286286286287288289290290290290290290290291292293292290289289290290290290291292292293294294295295295295295293292291291291292293293294294293293292292294295294293292293999999999999999272271272274275275276276277276276276275276277277277278278279280280281279999999999999999284286999999999999999284285285286286286287287287288288288288289290289289290290291291291291292292293293293292292292292291292292292292292293293293294293294295295295296295295295295296296296296296296296296296296296296295295295294295295294294294293293293292292292291291291291291291291291290290290289289288288287286287287287287287288288289289289289288288288288288288287288287288287288288288288287288287288287287288288288288289288288289289288287288287287286287286286286286286285285285286286286287286287287287287286288287288288288287287287288288289289290289290290290290290290290291291290291292292293292293293293293293294294294294294294295294293293292293293294293294293293293294293294293294294294294296296294296294294295294294294294294294294295294294294295296296297296296296296296296296296296296295296296296297297296296297296295296297296296296296297297297297297299297297296296296295297296295296296296295296297297297299298298298298298298298300299300299299300301301301301300301301301301300301301301302302301301301301302302302302303303304304304304303304303304304304304305304305304304303305305304305305305306306307307307308307307307307307307306306306306306306306305306308307307308309308307307308305307309307307307307307308308309308309308309309309308308307307308307308308307307306306306305304304304304304304304304304305305304305305305304304304304305306305304304305305303303303303303303303303304305305305304304304304303303303303303302302302302302302301302301301300301300300300301301301300300301300300300299300300300299298298297297297297297297297297297297297297297296296295295 999999999999999999999999999999999999999999999999999999999999999297999999999299298297298298298298298298298299299302299299298299298297296296294293292291291290290289288288288288288289290290291291292293293293292291291291291291291292292292292293292292292293293294296297297296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285286286287286285286288289289290289290290290290291291291291999999999999289289291291292292293293294294294295295295293292291290291292293293294294293293292292294294293292290288999999999999270271272273274275275275276277276276276276276277277278278278279279280280999999999999999290289999999999999999999284285285286286286286287287287288288288289290290291291291291291291291292292292293293293292292292292292293293293293294294294295293295295296296296295296296296296296297297297297296297297297296296296296295295295295295294294294294293293293292292292292292292291291291290290290290289289288287287287288288288288288288289288289289288288288289287288288288287287287287287287289289288288288287288288288288289288288288288287288288288286287287288287287286286286285285285286287286286287288287288287287287288288288288287288288288288289290290290290290291291290290291290291290291292292292292293294293294294294293294294294294294295294294294293293294294293293293293293294294293294294294294296296294294294294295294294294294294294294294294294294295295295295296296296296296297296296296296296295296295296296295297297297296297296296297297297297296298297298297297297297297296296295297296296297296296295296297297298296297298299298298299299299299299299300300301301301301301301300301301301301302302301301301301301301302302301303304304304304303303305305304303304304304304304304304305305305306304304306306306306307308307307307307307306306306306306306306305306307307308307307308308309308307307307308308307306306306307308307310308309308308308308308308308307307307307308307307307306305305305304304304304304304304305305305304305305305304304305305305305306305304303304303303302303303303303304304304304304304304304304303303303303303302302302302302302301302301301300300300301301301301301300300301300300300300300300300299298298297297297297297297297297297297297297297296295296295 999999999999999999999999999999999999999999999999999999999999999999999999999298297296296297298298298298297298299299298298298298298999999999295295293292291291290290289288287287288288289289290290290291292291291290290290291290290292292292292292292291292293293294295296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285286287286286286288289289289289289290290290290291290291999999999999999999291291291291292292292292293294295295293292290290291292293293293293293292292292293293292291999999999999999999270271272274274275275276276276276276276277277277277278278279279280280281999999999999292292291286999999999999999285285285286286286287287287287288289289289290290291291291291291292292292292292294293293293293293293293293293294294294295295295296296296296297296297297297296297297297297297296296297297297296297297296295295296295296295295295294294294294295294293293293293292291291291291291291290289289289288289289289288287288287288289289290289289289288287287288287287287288288289289289289288288288287288288288288288289288289288288289288288287287287289288286286288288286286286286286287288288287289288288287288288288288288289288289288289290290290291291291291291290291291291291291291292292293293292293293294293293294294294295294294294294294294294293293294294293293294294294294293293294294295295295294294293294294294294295294293293293293294293294295295295295295295295296296296296296295296297296296297297296296296296296296296296296297297297296296297298298296297297298298297296296296296296296297296296296297297297297298298298298298299299300300300300300300301301301301301301301301300302302301301301301301301301301302302303303304304304303303304304304304304304304305305305304304304306305305305306306306306306306307307307307308307307306306306307306305304307307307307307307307307307307307306307307308306307307307308308308308308309308308307308308308308307307306306306307307306306305305305305304305304304304304304305305305305305305305305304305305305305305304304304304303303303303303303304304304304304304304304304303303302303303302302302302302302301301301301301301300300300300301301301301301300300300300301300300299299298298297297297296297297297297297296296296296295295294 999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999297298298999298298299298298999999298999999999999295294293293292291291290289288288287288288288288289289289290290290289289289289290289290290290292292291291291292292293294295295296294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283286287287286286287288288289289290289289289290290290290999999999999999999999291291291999292293291291292293294293291289290291291292291292291292292291290292292291999999999999999999269270271273274275275275276276276276275276277277277277278278279280280281282999999999291291291999999999999999999286285285285285285286287287287288288288289290290291291291291292292292292292292294294293293293293293294293293294294295295295296296296296297297298297297296297296297297297296296297298297297297297297296294295295295295295295295295296295294295295295294294294293293292292292292292292291290289289289288289289288288288288287288288288288288287287287287288287287287288289289288289289289289288287287287288288288288288288288287288287287287287286286287286287286287287286287287286286287287287287288288288287287289288288289289289290289290291290290291291290290291291291291291291292292292292292293293293293294293293293294293294293294294293293294293294294294293293292293293293294293293292293294294294294293293293294294294293294293294294293294294294294294295295296295295295295296295296296296296296296297297295295296296296296295296296296297296297297298298298298298297298297295296296296295296297296296297297297297298297298298299299299299300300300300300301301301301302302301301301301300302301300301301301301301301301301302303304305303303303303303304304304304305305305305305306306306305305305305305306307308308308308308308307307307306306306306306304304307305306306308307306306307307307307306307307306306307307308308308308308308307307306307307308307307307306305306306307306306305305305304305305305305304304304305304305305305304305305305305305304305304304304304304303304303303304303303303303304304304304304304303303302303303303302302302302301301301301301301300301300300300300301301300300301300300300300300299299298299298297296297296296297297296296296295295296295295294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298298297298299299300999298298297298999999296295294293293292291291290289288287288287288288288289289289289289289288288289288289289289290291291291291291292292293294294295295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287286286287287288288288290290289290291291290290999999999999999999999999999999999999999999999999999999999292290289289292292292291291291291291291290291290999999999999999999270269270272274274275275275276276275275275276277277277278278278279280280280282282999284291292999999999999999999287286285284284285285286286287287287288288289289290291291291292292292293293293293294294294294293294294294294294295295295295297297297296297296298298298298297298298297297297296298297297296296296296297295296295295295295295295295295296295294295295294292294294294294294294294293292292291291290290290289289290289289288288288288288288289288288288287287287287287287288289289289288288288289288288287287287287287288287288287288288288288288287287286286286287287287288287287287287287288288288288288288288288288289288288288289290290290290289290290291291291291291291291292291292292292293292293293293293294294293294294294293294294294295293294293294294294293294293293292293294294293293295293293292293293292293293293294294294294293294294294294294295294295295295295295295294295295296296296296296296296296295296295296296295296296295296296297297297297298298298298297297297296296296296295295297296296297297298297297297298298298299299299299299300300300300301301301301300301301301302301301301301301301301301301301301301301302302304303304304304304304304304304304304305305305305305305306307306306306305307308308308308308307308307307306307306306305305305305307306309308307308306307308309308309308309307306307307307307308309308307307307307307307307308307307305305305305305306305305304305305305305305305304304304305305305305305304303304305305305304305304304304305305304304304303303304304304303304304304304303304303303303303303303303302302302301301301300300300301300300300300300300300301301301301300300300300299299298298298298297297296296296296296296296296295296296295295294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298298999297298300300299299999298297297999296296295294293292292291290290289288288287288288288288288288289289289288288288288289289290291292291291291291291292293293294294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291289999999999999999285286287287286286286287287287288289289288999290290290999999999999999999999999999999999999999999999999999999999999999999292999999999999999999999999291291292999999999999999999999269269269271273274275275275276275275275275276276277278278278278279280280280280283282285999285286999999999999289288287286285285284285285285286287287287288289290290291290291291292291292292293294293295295295294294295295295294295295295296296297297298298297298299298298298298298298298298298297298298297297297296297297296296296295297296296295295296294294295294294295294294294294294294295295294293293293292290290289290289290289289289289288289288288288288288288288287287287287287288289289288289289288288287288287288287288288288287288288288288288288288288287286288287288288288288288287287288288287287287288288288288288288289287288290290290290289290291290291291291291291292292293292293293293293293293294293293292294294294294294294294293293294293294294296293296295295294295294294294294295293293292292293292294293293293292293295293294293294294293294295295294294294294295295296295296296295295295295296296296296297297295295296296296296296297296296297297296298298299299299298298298296296297296296298297296297298297296297297298298298298299299300299299300300300300300300301301301302301301301301301302301301301301301301302301301301302302303303303304304304303303303304305305306306305305305306306306306307307307307306308308308308307307307308307307307307306306306307309310310309309308307307306310309309308308308307307308307307308307308309307307307307307307307307305305304305306305305305305305305305304304305305305305304304304305305305304303304305305305305305304304304304304304304304304304304304303303304304304304304304304303303303303303302302302301301301301300300301301301301301300301301300301300300300300300300300299299298298298297297297296296297296296296296295296295295295295294 999999999999999999999999999999999999999999999999999999999999999999999999999999297297297999999296297297999297298299299299300298298297297296295295295294294292292291290289289288288288287287287287287288288289288288287287287289289291291291291290290290291291292293293294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288287286286286287287287286286286287287287286286286286287287288288288287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267268269271273273274274275275275275275276276277277277278278278279279280281280281281281283999999999999999999290288287287286285285284285285285286287287287288289289291291291291292292291291293293293294295295295295295295295295295295296296296297298298299299299299299299298299298299298298298298298298298298297297297297297297297296296296296295295295295295295295294295294294294294295295294294295294294294293293292291291290290290290290289289289289288288288288288288288287287287288288288289289288289289288289288288288290289289288288288288288288288288288288288286286288288288288289288288287287289289287288288288288288288288288289289289289289289289290289291291291291291292292291292292293293293293293294293293292293292292293294294294295294295293293293294293296294294295295295295294293292293293292293293293293293293293293293293292294294293294293294293294294294293294295295295295296296296296295296295296296296296297297295297296297297297296297297296296297297297297298297298299297298297296296296297296298298297297297297297297298298298299299299299300299299299300300300300301301301302301301302301300302302301301301301302301302302302302302302303303303304304304303303304304305305305305305305305306306306306305308307306306308308308308308306308308308308307306306307307307308309309308307309307307309309309307307308306307307307307307307308308308309307306306304306307307306304304304305305305306305305305305304305305305306305305305305305304304304304304304305305305305305304304304304303303304304304304303304303303303304304304304304304303303303303302302302302301301301300301301301301301301301301301300300300300300300301300300300299298298298298298296296296296296296296296295295295295295294294 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294296296296296297298299299299298297297297296295295294294293292292291291290289289288288287286286286287287287287286286285286286288289289290291291290290290290291291292293293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286285285285286286287287287287287287287286285286286286287288288288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267269271273274274275275275275275275275275276276276277277278278278279280280280280281281999999999999999999999999285285286284285284285285285286287287287288288289289291291291292292292291293293294293296295295295295295295295295295295296296296298298299299299299299299299298299298298299298298298298298298298298298298298298297297297296296296296295295294295295295295294294294294294294294293294294295294295293293292292291290290290290290290290289288288289289289289289289288288288289289289290289289289289289288289287288289289288287287287287287287287288288288287288288287288288289288288287286289287289288289288288288288288288289289289289290289289288289289290290290291291292292292293292293294293293293293293294293292293293293293293293294293293294293293294292293293294294294294295295295295293293293293293295294294293293293293293293293293293293293294294294295295295295296297297296295296296296296297298296295295295295297296296297296296296297296296296297297296296297296297297297297297296297296296296298296297298297298298298298298298299299299300299299299299300299300300301301301301301300300301301301301302301301301301301301301301302302303303303303303303303304304304304304304305305305304305305305307306307306307307307307307307307307307307307307307307306306306307307307309309310309308308306308308307307309308308307307307308308307307310310309308308306307307307308307305305304304305305305305305305305305305305306305306306304304304304304304304304304304304305304304305304304304304303303304303303303304303303303303304304304304303303303303303303303302302302302302301301301301301301301301301301301300300300300300300300300299299298299298298298297297296296295296296296296296295295295294294293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999999296296297297298299299299299296297297296296295294293292292292291290290290289288287287286286286286286286286286285285285287288288289290291290290289290290290291291292292293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285285285285285286286286286286287286287286285285285285287287287288288287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267269272273274275275275276276275275275275275276276276276276277277278278279279280281281282999999999999999999999999999999999284285284285285285285286286287288289289290291291292292293293293293294294294298296295295294295295295295295296296296297298300300300300299298300299299299299299299298299298298299299298298298297297298297297296296296296296296295295296296295295295294294293294294294294294294293293293294293292293292291290291289289290289289289288290289290290288289289289289289289289290290289289289289289289288288288288288287287287287287287288288287288288288288288287289289288288287287287289288288288287288288287288288289288288289289288289289289290290290290290291291292293293293293293293292293294293294293293292291292292291292292293292292293293293293293293293293293294293294295295293294293293293293294293294292293293293293293293292293292292292292295295295295296296297296296295295295295295298297295294294294295296296296296296296296296296296297296297296297297297297297297297297296297297297297298298297297298298298298298298298299299299300300299299300300300300300300301300300300300300300300300301300300300301300301302302302303303303303303303303303304303303303304304304305304304304305305306305306306306306306306308307306306306307307306306306305306307307307307308309309308307307307307306307306306307307307307307308306307311306306307308307310309309308307306305304304304305305305305305305305305304306306305305305305305305304304304303303304304304304304304304304304304304303304303303303304303303303303303304303304303303303303303303303302302302302302302301301301301301301301301301300300301301300300299299299299299298298298298298297297296296296296296296296296295295295295295294293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999999297297299299300300299297297296295296294294293292292292291291290290289288287287286286286285286286286285285286286287287287289290290290290290289290289290290291291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284285285285286286285285285286286287287286285285285286287287287286999999999999292293293293292999999999999287286286287286285999284283282282282282282282282281281280999999999999999999999999999999999999999273272273274275275275275275275275275275275275275275276276276276276277278279278278279280280282283999999999287288999999999999999999284285285285285285285285286286288289290291292292293293293293293294296295297296295295294294295295296296296296297298298300298299299299299300299299299299299299299299299299299299298297297297297297297297296295295295295294295295295296296295295295295295296295294294294293293292292292292292292291291290290290290291290290290289290290290290289290290290289289289289290290290290290289289289289289288287287286287287287287287287287288288288288288287288288289289289289287288288288288287288288287288288288289289288289289289290289290290290291290291291292293292292292293293293293293294293293293294293290292292291292292292292293293293293293294292293293293293295294295295294293293292293292292293293293293292292292293293293292291293293294295296295294296296296296296295295295296296298296295295294294295296296295296296296296296296295296297297297296297297298298298297298297297298298298298298298297298297298298297299299300299299299299300300300301301301300300300300299300300299299299300300300300301300300301302303303303303303303303303303303303303303303304304304305305305305305306306305305306306306306306307306306306307307305305305306305305306308307308308308308308308307307307307307306308308308308307307307307307311311306306306307309309309307305305306305304304305305305305306305305304305306306305306306305305305305304303305304304304304304304304304304304304304303303303303303304303303302304304304304303303303303303303303303302302302302302302302301301301301301301301301301300300300300300300300299299299299298298298298297298296296296296296296296295295295295295294293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296999999999999999297297299299300300298298297296295294294293292292291292291290290289288288287287286285285286286286285286286286287287287289289290290290290289289289290290290290293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284284285285286286286286286286286287287286286285285286287287287287287999999999999293293292292292291289288286286286286286285285285284284284284284284284284283283283282281999999999999999999999999277276276275275276276275276276276276276276275275275275275275275276276276277277277278278279278279281280282284286999999288288287286285284999999284285285285285285285285285286287287290291292292293292293294295295297295295296295294295295295296296296296297298299299300299299299299300299300299300299299300299300300299299299298297297297297297297297296296296296296296296296296296296295296296295296296296296295294294294293293291291291290291292291291291289291290290290290291291292291291290291291290290290290290291290290290290290290288289288288287288288288287287288289289288289289288289289289289288289288288287288288287288288287287288288289288290289289289289289290290290291291291291291291292292292293293293293293294293293293293294293293294293293292292292292292293293293293294294295294294293294296297297294293293293293292293293293293292292294293293294294293293292293293293294295295295294296296297297297296296296296295296295295295295296297296296296296297296296296296296296297298298298298299299299298298298297298299298299298298298298298299298297299299300300300299299300300301301301302301300299299300300300300301301301301301301301301302302303304303303303303303303303303303304304304304304304305305305306306306307307306306305306306307307307307307307307307306306305306306306308310308308309308307308308308307307308308307307307307307308307307308307307311306307306309310309308307305306307305305305305305305306305306306306306306306306306305305305305304305305305304304304304303303305305305304304304304303303303304304302303303304304304304303303303304303303303303302302302302302302302302301302302301302302302301301301300300301300300299299299299299298298298298297297296296296296296296296296295295295294294293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296298298299299299298297296295294293293292292292291291291291290290289288288286286286286286286285285286286286286287288289289289290289290290289289289289289291294293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285284285285286286286286286286286286286287286286286286286287287288289287999999999292292292292291290289288287286287287287286286286286286286286286286285285285285285285284283282281280280279279278278277277277277277276276276276276276277277276276275275275275275275275275276277277277277278278279279280281283284285999999287288287286286285285284285284285285284284285285285286286286289290291292292292292293294295294295296295295295295295296296296296298299299299299300299299299300299299299300300300300300300300299299300298297296296296296297296297296297297296296296297296296296296296296295296296296296295295295294294294293292291292291292292293293293291292294292292292291292292292291292292292292292292292291292291291290291290290290289288288288289288288288288288289289289289289289289289288289289289287287288288288289288288291289289289289289289288289289288289289290290290290291291291291292293292293293293293294294293293294293294293292293293292293293293293293292292292292293294294294294294295296295292293293292292293293292294294294293293294293295294294294293292293294295295294294294295296295297297297297296296295296296296296296295296297296297296297298297297297296297297297298298297299299298298297298298298297299299299298300299299299299298299299300300300300300300300301301301301301300301301300301300300301301302302302301301302302303303303303303303303303303303303303304304304304305305305305306306307307306307307308306307306306306306307307308308307307307308306307307308308309307308308308307308308308308307307307307307307307307307307307307308306307307306306306309309308307305306306305305305305304305305305306306306306305305305305305305306305304305305304304304304304304304305304304304304304304304303303303304304303303304304304303304304304303303304303303302302302302302302302302302302302301302302302301301301301301301300300300299299299299298298298297297297297296297297297296296296295295295294294293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297297297297299297295295295294293292292291291291291291290290289289288287286286285286285285286286284284286286287288289289290290289289289289288288288290292294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286284285285286286286286287287287287287287287287287287288288288288289999999999292291292292291291289289288287288288289289288288288288288288288288288288287287287287287286285284283282281280279279278278277277276276276276276276276276277277276276276275275275275275275275275276276277277277278278278280281282284285999999287287287286286285285285285284284284284284284285284285285286286288290290290291291292293293293294295295295295295296296297298297298298301300300300300299300300300300300301301301302300301300300299298298297296295295295296296296296296296296296296296295295296296296296295296296296296296296296295294294293292292292291293293293295292292292292294293293292292293292292293292293292292292291292293294292292293292291291290290290290290289289289289289290289290290290289290290290288290290289288288288288288288289289291288290289288288289289289289289290290290290291291291291291292292292293293293293294294294293293293293293293293292293292292293293293292292292293293294294293294292295294293292293292293293292293292293293294293294294294294294293293293293293293295293294295295295296296296297296296296296296296296296296296296296297297298297298298298298297297298298298299299298298299298299298298299299298299300299299299300299299298299299299300301300300300300301301301301301302301300300300299300301301302302302302302302302303303304304304303303303303303303304304304304304305305305305306306306308308307307307308308307307307308307309307310310307307307307307308307308309308308307307306307308308307308307308307307307307307307308308308307308309308307307306306308308307308306307306305305305304305305305305306306306305305305305305305305305306305306305305305304304304304304304305304304304304304304303303304304305304304304304305305304304305304304303303303303303302302302302302302301301302302302302302302301301301301300300300300299299299299298298298297297297296296296297296296296295295295295294294293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296296296297298300297295294293293292292291291291291291291290290289288287287286286286286286285285285285285285286286287289289289290290290288288288288289290291289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286284285285285286286286287287288288288288288288289289289290289287288287999999291291291291291290289288288289290290291291291291291291290290290290290290290290289289289288288287286284283281280279278277276275275275276276276276276276277277276276276275275275275274274275275275276276276276277277278280281284286286999999286286286286285285285285285285284284284283284284284284284285285286287288289290290290290290291292294295295295296296296297297299299300300302301302301301301300301301301301302302302302301300300298297297296297295295295295295295295295296296296296295295297296296295296297296296295297296295295294294293293293293292292293295294294292292293293294293291291292293292292293293293293293294294293294295296295293293292292292291291291291291290290290290291290291291290290290290290289288289288288288288288289289289290291290288288289289289290289289289290290291290290291291291292291292292293293294294293293293293292292293292293293293293293293294292293293292292293293294294294293292292292292292292292292292293293293293293293293293294294294294293294293293293293294293294294295294295295296296296297297297297297296297297297296297297297297299299299298298298298298299299299299299298299299299299298299298298300300300299300300300299299299299299300301300300301301301302301302302302301301301300300300301301303303303302303303303304304304304303304304304303303304304304304305305305305306307307307307307308308308308308308307307306308308308308307307307306306307307308308308309308308307307307307307307308307307308308307307307307308308308309307308308308309308307306306306306305307307306306305305305305305305305305305306306306306306305306305305306306306306306305305305305305305304304304304304304304304304304305305305304304304304304304304304304304304304303303303303303303302302302302302302302301302301301302302301301301300300300300300299299299298298298297297297298296296296296296296296295295294294294294