2017 8 12 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999114113114117123127128130133124137130139135132141140145141138141135136138140134138142127125130125123123123124143144133133130121121130129128126124116128117114123126118116116115115121123119110110112113115118117999999999999999999999999999999999999999999999999999999999999999999999146146146145145144145145145145144999999999142142141141141140140140140141141999999999142142142142141141141141141141142142142142143143143143143143143143143142142141140140138136135133132130128126124999121120119118117117117118118118119119120120121121121121121121121121120120119119119119119118119119119119120120120120121121120120120119119118118117116116115115114113113112112112111111111111110110110110110110110110110110110110110110109109109109109109109108108108108108108109109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110110116114114116120124128131134136126133129134134138134141140137131135128132133136132137134136119124121135122121121122115118114119136128132130130127103118 97104102100112125131130119131125124123114113114116115118999999999999999999999999999999999999999999999999999999999999999999146147147147147146146145146146146146145999999143143142142141141141140140140140999999140140140140140140140140140140140140140141141141142142142143143143143143143142141141140140138136135133131129128126124122121120119118117118118118119119120121121122122122122122122122122121121120120120119119119119119119119120120120120121121121121120120120119119118117117116115115114114113112112112111111110110110110109109109109109109109109109109109109109109108108108108108108108108108108108108108109109109109110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999110115113111113117123126129130132136128128129131133134135136135134130127130126125126129130132133117118118136123120121114113135132109131132122117119123115115106123125129125131132125132129126123121115113116113999999999999999999999999999999999999999999999999999999999999999999146147147148149148147147146146146146146146145145144144143143142142141141141140140140139139139139139139139139139138138138139139139140140140141141142142142142142143143142141141140139138136134133131129127126124122121120119118118118119119120120121122123123124124124123123123123122121121120120120119119119119119120120120120121121121121121121120120120119118118117116116115114114113112112111111110110110109109109109109109109109109109109109109109108108108108108108107107107107108108108108108109109109110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133153150145122123127133140139137131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999108122121122122124129133137138141143117129130135135139133127119121120109114112121126123120123132114116120124130132131123123141137134127124123128118121123119115130128128130125133131131129121122121115118999999999999999999999999999999999999999999999999999999999999999999999999999148149149150149149148148147147146146145144144143143142141141140140140140140139139139139139139139139138138138138138137138138138138139139139140140140141141141141141140140139138138136135133132130129127126124122122121120120119119120120121122122123123124124124124124123123122122121121120120119119119119119119119120120120120121121121121120120120120119118118117116116115115114113112112111110110109109109109108108108108109109109109109109109108108108108108108108108107107107108108108108108109109109110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145159152145142126130138138134133138134129125999999999125139136143147148999999999999999999999999999999999999999999999999999999999999999999999999999999105105106107133110134137139143143146149135138133125138130130128126115111122121117120121123122125130132116119121129126127129133134133131130129121119119123119113126130130130125130130131132127124123999999999999999999999999999999999999999999999999999999999999999999999999999999148149150150150151150150149149148147146145144143143142141141140140139139139139139139139139138139139139138138138137137137137137137137137137138138138139139139139139139139139138137137136135133132131130129127126125123123122121121120121121122122123123123124124125124124124123123122122121120120119119119119118118119119119119120120120120121120120120120119119118118117116116115115114113112112111110109109109108108108108108108108108108108108108108108108108108108108108108107107107108108108108108108109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159162999999999999999999999999999999999999999999999999999999999999999130131131148152151145142134131133136138135127135131131131137123124125135131134141140137137999999999999999999999999999999999999999999999999999999999999999999999999102103104999999999999999999146147149150127138130129129125131135123119118118116110110122124128121125130108116127127123123123126131132131129127126121126121109125128121129129122127128129130129123999999999999999999999999999999999999999999999999999999999999999999999999999999999149150151149151151151150150149149147146145143142141141140140139138138138138138138138138138138138138138138137137137136136136136136136136136136137137137138138138138138138137136136135134133132131130129128127126125124123123122122122122122123123123124124124125125124124123123123122121121120119119119118118118118118118119119119119120120120120120119119119118118117117116116115115114113112111111110109109108108108108108108108108108108108108108108108108108108108108108107107107107107108108108108108109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159999999999160177167167168169168167166164155149156152149150147152160159156150147999999999999142147148144149141133147999999999999999999999134143143140137135999999999131131131149152144137134129125129109117104131134137127122121122128133133132135135139137133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119153153148148111122125121129132116115118115113111102 99121122121126124111127126125121121122122126127125124125125125123123129127129123127126127128129125126125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151151151152152152153153150149148146144143141140139139138138137137137137137137137137138138138138138137137137136136135135135135135135135135135136136136136136136136136136135134134133132131130129129128127126126125124124124123123123123124124124124125125125125124124123123122121121120119119118118118118117117118118118118119119119119120119119119119119118118117117116116115114114113112111110109108108108108108107107107107107107107107107107107107107107108108108107107107107107107108108108108108108109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171168171159173160167181181164180168168168167168168167157156162161157154154144145154157156154148999999999999142142143145157143131130127126127125134144138138140143129127135136999128131131131131142137132131122120123124121118137128130130129127118119115117126129136135137130126116113112110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999120152132 95106116116118118122115116115113112110102117118119124104104102121122123120119119122123120119121120120120121127125124122120124126127128125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151151155153153153153153153152149148144146144142139139138138137136136136136136136136137137137137137137137137136136136135135134134134134134134134134134135135135135135135135134133133132131131130129129128128127127126126125125125125124124125125125125125125125125125124123123122122121120119119118118117117117117117117117117118118118118119119119119118118118118117117116116116115114114113112111110109108108107107107107107107107107107107107107107107107107107107107107107107107107107107107107108108108108108109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168166176178178171162173172176181181180181182168164167167168167165156156156157155154158157156157161157148151147143138139142137140150142140138132138129124124135146131137144135128123137137133129127118131130126134130128123124120118115117124129128127131129130122114111121129132121119118115119112111999999999999999999999999999999999999104110108104101999999999999999105 89 90 89100 96 96105113122112 93 91106100108113113115115102113107106103109109116118122103102121118122121118117117120121119120120121119117122123123120122119125126128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152152152155155155155154152152150147147146999999140138138137137136135135135135135135135136136136136136136136136136135135135134134134133133133133133133133134134134134133133133132132131130130129128128127127127126126126125125125125124124124124124124124124124124124124123123122122121120120119118118117117117116116116116117117117117117117118118117117117117117116116115115114114113113112112111110109108107107107107107107107107107107106106107107107107107107107107107107107107107107107107107108108108108108108109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169163164164169169167179167154154152143149150148155149150150164153153151152152155154154149152155157152152144146150146144144146142139145145146141141132139134127146143146142135124126126142146141132130124118123118125129125121126119117115116115117118115127118118113113114112119999999999999999999999999999999999999999999999999999999116110108107108105102 97 97 98 96 96 96 78 80 83 88 95104 96 96101101 92 88 89 98 97104109115116112114113109103102125116117118119120119118119121116120115119119117120121118118117114118121113120125127127127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152152158156157157156156154153152151999999999999999999136137137138136136134134134134134134135135135135136136135135135135134134134133133133133133133133133133133133132132132132131131130129129128127127126126126125125125125124124124124124124124124124124124124124123123123122122121121120120119119118117117117116116116116116116116116116116116116116116116115115115115114114113113112112112111111110109108108107107106106106106106106106106106106106106106106106107107107107107107107107107107107108108108108108108109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168167162164168171169169168177166150150151149150150155153148155157159150155153154150153147156155151149150153151149151150146148150143143141141142145140140133131137148152127141143132134136135140146135137133130126121122125126131119122122121121116116115118114105107107108110113110106115999999999999999999999999106117115112102999999999101111110109109108106105108105104104118100 83 84 94 87 89 91 88 87 87 88 92 93 92 94100108112108108109113109109106101125118123121125121122127127128118123121124122120119114114112114113114119119113128131132123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153159158158158157156154149148999999999999999999999999136135136137135135137137133133133133134134134134135135135134134134134133133133133132132132132132132132132132131131131130130129128128127126126125125124124124124124124124124124124124124124124124124124123123123122122122121121120120119119118118117117116116116115115115115115115115115115115115115114114114113113112112111111111110110110109109108108107106106106106106106106106106106106106106106106106106106106106107107107107107107107107108108108108108109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169172165163168172177175180178177141144150148153159163160152164164162161158160160150162151154162153152150150151153151151148144149140140143142141143136141140133145147145144148151147126151146142141143135129133129123122121122124119118122123120114116116112112110106106107109109107104103107103 98999 97 99104101108111107107106 90 92 89 91 86 88105104106110 95105105109110107 84108 87103 90 89 89 86 90 90 90 96 94 98101104108102109106113103101109120118120121114119119120119119114116115115115115114119118114112110113118120121125127132133122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153158159159159157156156154151148999999999999999999135133128130131134133134135135135135135133134133133133133134134134134133133133133133133132132132132132131131131131131130130129129128127127126125124124124123123123123123123123123123124124124124124124123123123123122122122121121121120120119119118118117117116116116115115115115115115114114114114114114113113112112112111111110110109109109109109108108107107106106106105105105105105106106106106106106106106106106106106106106106107107107107107107108108108108109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165163170170169172182182170169180181178154145147145156156157160151164164165159156155154154152151153150146152151154150152151146145148147147147147144141140138142147147145145143145159144134144137155151143145136135131127129122118121122122114117114118119116118115115113110103104109103102104103102103100100100102105100104108107107106 91 89 89 98 90 89 92103106108108106109111110109106 95 97106105102 97100100102105104100 99 94104104105109107105106105119114113115117116116116118118111112111111111116108 86122121109110114116120123125129133134122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151154155156157157156154153153151149999999999142140138137136133130133134133133133133132133133132132133131132131135133133133133133133132132132132132131131131131131130130130130129128128127126125125124123123122122122122122122122122122122123123123124124123123123123123122122121121121120120119119119118118117117116116116115115115114114114114114113113113113112112111111111110110109109108108108108107107107107106106106105105105105105105105105105105106106105105105105106106106106106106106107107107107108108108108109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172168168172170170169167167171175173180172158151153162155157159163158158162158155153152156154154151153153150150151153154152153150151152149153150150146143142147147148148151149148137144143143141147148147145136135136138133127127127132126126119115113113118117117114119118111115111111108101105103105104107105104106103107107107108107107 91 86 86 81 84 91 87 91111 98105107105104110109110104108110110108110107107104102104108107101102 99 99105111110111109114112112116116120119118116109108108111112113124116114128124113112114109122128131136140122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154154155157156155152150149148148149147999142141140140139138136135131132132131131131132132132132131131130130131129131132134133132132131131131131131131130130130130130129129129129128128127126125125124123123122122121121121121121121122122122122123123123123123123122122122121121121120120120119119118118117117117116116116115115115114114114114113113113112112112111111111110110109109109108108107107107107107106106106105105105105105105105105105105105105105105105105105105105105105106106106106106107107107107108108108108109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173172171172170170170166164161164164158162170172157154153166158156160164161161160160162158155153155159158154152154150155156151152153155153153152154150146145142144145147143144150146138133129139136130139137138149134131144141134132139135128127134125120120125124123125121119105117111119117114108109110108109105106106107106106106100102 99 99 97 92 93 91 87 89 91 94107103105102102 98 98107108105113113113113113115114110112113113111108108110107112114118116119120118118119120117112109108109111115118118123127118125123123121119119122126132138122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151156155155156156153150147145144144145147144142141138138137137134134135134133131131132132132132131132132128129128129130130132129130132132133134130130130130129129129129129129128128128127127126126125124124123122122121121120120120121121121121122122122122123122122122121121121120120120120120119119118117117117116116116116115115115114114114113113113113112112111111111110110109109109108108108107107107107106106106106105105105104104104104104104104105105105105105105105105105105105105105105105106106106107107107107108108108108109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172178178174172172171171165160160159159158154156163164167167160157162159155162165163157155152160163162161154161162158158156158154153156153153151149154154153153151149147151147145149148145145147146142142153131131131134141150136142145141132129132132133130135126132123123121123127125124123120110108113112111114114113112110113114113109110110102 99 98100100102100 97 99 96 93 94100100 97 99100101100108107109113117114116116115119122120119116119118112116118115113109114115118116116113107106106106107115120123124124122123120119116116114112115123128132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154155157158156154149146143141141140141143143142141139139138138136135135134132133132132131132131131130130128128128128128130130129131131131132131130131129130128128128128128128127127127127126126125124124123122122121120120120120120120120121121121122122122122122121121121120120120119119119119119118117117116116116116116115115115114114114113113113112112112111111110110110109109108108108107107107106106106106106105105105104104104104104104104104104104104105105105105105105105105105105105105105105106106106107107107107108108108108109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178175175177173167166162161162162165160156159160158158166167172168153152159167163163154157160159160161157160158157160155156153157157155155150149148149148151152151150151149150148148149149148143143142141137147142140140146146145138132127128130127130138132130135132129124124120126135134133132125116115124123122125124117115114117112111114110106103102101102101104102102103102102103100 98 99 98109106109111111115115116116111116121122121119115115115121122119118103109110110107115115112109106104105106111116120121121121121122120119115114112112116124117999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154155156159158158156152147142141140139138139141140140139140140137135136136134134134134133131130131130130127125124125127129127128128129131130129129129131129132127126127127127127127126126126125125124124123123122121121120120119119119119120120120121121121121121121121120120120119119119119119119118117117116115115115115115115115114114114113113113112112112111111110110109109108108108107107107107106106106106105105105105104104104103103103103104104104104104104104105105105105105105105105105104105105105106106106107107107108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170170172169175176174165162163165166166165169170165160160158169167169160167160158166162163158163157161163163160161160157157156155151153152153152149147149148148146146148148150147149145145147149149148147145148149150150141150152146133144144138133130129131140138138133134136127127127134131130135131131126127126125124122124120102117123105109116114113108105105105104105104101103101101106101109113107105110114117116119119120119116120123121121118117121124122119117118117114114113111116121116117115113114119119119118122122123123122121122120118116115999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154155156157158159158157154149145144142141140140140140141139139139136136136134136136135135134132132131129129128126127128127126128128128130127128128127126129128129125126126127128126126126126125125124124123123122122121120120119119119119119119120120120120121121121120120120119119118118118118118118118117116115114115115115115115114114114113113113112112111111111110110109109108108108107107107106106106106106105105105104104104104103103103103103103104104104104104104104105105105105105104104104104104105105105106106106106107107107108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172168168165164174166164161165164170170170167169169162167168169171165166157159162158160163164161158159155162164158160152157153156156155153152152154153153150151149148148145144144148146147148148143142140143146144147153149142137141140141134132137140140123125126140128130138136137130138137134125130131135134127126127119129129115115123116115 99 99110115120118107108107108105102107105103 97108117118107110118118121112127128121118120122122122121123119119124123119119118119117117116124123122123124125123121126125127106128124126125127127127124122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155155157159159160160161158155153150146145142139139140140140140139137137136135137135136137133135134132132130130130128128123124123128129128127127126126126126126125124125126125127127121127127125124124123123122121121120120119119118118118118118119119119119119119119119119118118117117117117117117117116116115114114114114114114114114114113113113112112112111111110110110109109108108108107107107106106106106106105105105104104104104103103103103103103104104104104104104104105105105105104104104104104104104104105105105106106106107107107107108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172164162165161169167169163164167167168165167166166168168170170176166166161157160164161163161157154155159155148153158151152154160154155155153155152153152149150148149150139147141146150148149151146144144144147145151152144139151134141142140133130137141141126124131136133135136134133134132134128131130129127132135128128127123109117121115120123107119120123120118112109107107106110109108109105113116108116119123128123126128117123118121116123124123122122123120120119119119119117119120119125126128127128129128129129127126124125126127130123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155156158159161162163166165163159155152149144141140141140141139138137138136136136135135135134136135135133132130129128126127126127128129126125125125126126125126124123125126125128128128128127127125123123122121121120120119118118118117117117117117118118118118118118118117117116116115115115115115115115114114114113113113113114114113113113113113112112111111111110110109109109108108107107107107106106106106106105105105104104104104103103103103103103103104104104104104104104105105105104104104104104104104104104104105105105106106106107107107107108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168169158161164167165165164163167168167167165165164161166165166176176175166166155154158159165161161160160168161160157154156153151158153153159147152156150150151150148146149146145141140151148147146142137147142143142144148139144146137138142140136139138139139137137132127130131134137139136132126129130123124124131129126130129129120129128120123120119122124123120119117109110110110112111107107110111114112114117129128124124125124126121120120123125123123123123119121120120119120116116117117127126125125126126127127129128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151157157160161154165169169167165161158153148144138138140140138138139139137136134136137135135136137135133131130130128129130127127127127126127125125125126124124124123125127127128126127127126124124124123121121120119119118118117117116116116116116116116117117116116116116115115114114114114114114114114113113113112113113113113113113113113113112112112111111111110110109109109108108107107107107106106106106106105105105104104104103103103103103103103103104104104104104104104105105104104104104104103104104104104104104105105105105106106107107107107108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167167165165166164163162163163165166165166164164164158164165164169174172173160161161160160163160145153159151161162157148151150150150151155156143152150153149148151148150150148146147148145147145143144143145142141137144141138141144142140140139139134138132128133137124134128131133138136130131136135134129132129130130129129129128123126125124121117124125130125123120117118116117110112115112116120118117116123116119121122126126127124122123123125123124124123123120118120121119119120118118120128126124122121121121121121121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156156158152999999999999151168166161156151146139138140139139139138137137135137138138137136136135134134134131131132129130127126127126126125126123123124122124112118126126127126127126126125123123123120121119120119120117117116116116115115115115115115115115115115115114114113113113112112112112112112112112112112112112112113113113113112112112112111111111110110110109109108108108107107107107106106106106106105105105104104104103103103103103103103103104104104104104104104104104104104104104104103103103103103103104104104105105105106106107107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156154162163164165164165165165164164160160162165164165164166173174168167160168173173174162163159158157160154165156151150149153154149155145141145150140153152153150153148148147146149152147149148147149149147146145144149140139138144142138138140135138137140140139137135134135135127128133132130117127129131134131134132124124129129124128127133126128126128123125124124124125124117119120121119120119116118122124121123123121125125125122127127127125122124124125123123123123123122122122122119119119121122121129127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150999999999999999999999148155151148135139140138138138138138139137137139138139135138137136134134133132131129130128128127126124126124123122124123124125126126126126126126125126124123122120120120118113112119118118116115115114114114114114114114114114114113113112112112111111111111111111111111111111111111112112112112112112112112112111111111111110110110109109108108108107107107107106106106106106105105105104104104103103103103103103103103104104104104104104104104104104104104104103103103103103103103103103104104104105105106106107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166165164165163165165164163164166166166166163163160164165167164172172173166159160172171172168158148156153154153141156152146148146151152153150152141143150146149152152150150147147148148146143148148148147146145149145147144148144146146141139139137132133139134133138140137133131136132129132133131123130127126124127130131127125131131126127130129132129129129128127128125126128128126120118123125122122125124121122124125127130126126125128128121126128125125125126126120123124121121122120123120120118122120122121125126131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148150150148135136136137139138138139138137138138138138137137138137133135134132132129128128127126125124125125124120122122121124124125123123126125125125121121122121119120118117118118119115116115111117114114114113113113113113113113112112112111111111111111111111111111111111111111111112112112112112112112112111111111110110110110109109108108108107107107107106106106106106105105105104104104104103103103103103103104104104104104104105105105105105104104104104103103103103103103103104104104105105106106107107108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165165165166166165165165165164166158165166165160159159160166169167171171172171170171171170166164148144153162155154154146154154154154153162159152152142149142141143145145147149150151141141149144145145150146145145139145146145149148140138136137137136134135135135136137140138134132134133133131129126131127130127122129134128131130129131131129132135133135129126124129127126127126127127124126123125127123124128125126125125128126129126127126127127125124124124126125125123122120118125123118120119117119114117129128127129133122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148148149148147138137138137139139140139137137135138138137137138137138135134134133131130126127127126125125126124124123123123123122122122122123125123123120122121124121120119119120120119117115116115112117117116113113113112112112112112112112111111111111111111111111111111111111111111112112112112112112112112111111111111110110110110109109109108108108107107107106106106106105105105105105104104104103103103103103103104104104104104104105105105105105104104104104103103103103103103104104105105105106106107108108108109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160162163158162163163164164164162162163155156164163162162162154161171171164164171158166169169169168164158161161161154155153142151153152150152144135150143142141146146147147145142139141145149145147145142149149147148146143142145150143142136132135137138134135134134134133137142142137134134134133131132129128130132128125127128129133121130129128125127131129129126127128128127129127128127127124126125122120121122124124128124126134128127124127125127127126127125126125126124125125122116124123124122120118118116121128128129131125122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147150149150149148147140140139139141142141139140137137138138138138138137138137135134132131129128127127125125124124122123122122122117117122123121122123122113112125124124121120120121120118117116116110114112116116115115113109109112111111111111111111111111111111111111111111111111111111111112112112112112112112111111111111111110110110110109109109108108108107107107106106106106105105105105105104104104103103103103103103104104104104104104105105105105105104104104104103103103104104104104105105106106107107108108109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157159160161161160161163163164164161161161154155160162163163163156156163165165159167158169168168166167163159159156156146152135147149160152149159143133149143149146146133133145147145139137146144147148146147149149142148147148142136135135136137137139138137137135133134133133135141134137135135134133133132133129130133133126125127127133134134133130126129130121122125128128129126127125126130127127125126122120122125126127128128127132130124126125127127127128126124122123123124125125126124125124124124124123129130130128128129130132121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149149149149148148149148145144143143142143142141141140139140139140139137138138138138135134132129129129127126125124124121121121117117116115121121115120121122108108124123118118121120120119117114117113111112114115114112110110109114115111110110110111111111111111111111111112112112112112112112112112112112112111111111111111111111110110110110109109109108108108107107107106106106105105105105105105104104104104103103103103103104104104104104104104105105105104104104104104104104104104104104105105106106107107108108109110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162162154154155157158158159159159160159157157159159159158157158161161163163163164164165164163165164167167166162161161155154146148150149151142148150146158159147149147148148148140135148148149146144156138143148146150147142145136145143145143139134144137134139137141140142134134138132138139136129131134133131132130130133132132134134130125130133132132134131133128128130121122124129126128123127126127127127124127126123122124124127125126124126124130128127127126126126126126125122123122122124123125124123123124123122122127129129129127129131133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143148145144145145145146149149147145144144142144142142141142144143139140140137140137138135134132129130126125124124123121120121121115116115121121112114120119121121119113120122120119114120119118115115114109110114113113106106111112106104112113114113110110111111111111111112112112112112112112112112112112112112111111111111111111111110110110110109109109108108107107107106106106106105105105105105105104104104104103103103103103103104104104104104104104104104104104104104104104104104104104104105106106107107108109109110111111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157160161161154155157157158160160159158158156156160159159159160161164164165164163166164166164166162164164168167166166167151153146149148152150153149143147157160147150157154140150133136149148148142143149138146148143145147145143146145145146148150147137140142139136136139141139135133137136137133127130132133132132129130131132131134127128125128135135133130129130131132128130126132131125130130131128127128125119121125127124126125125126126122125125122128124127124127126124125123121121121120121124124125123124124126123124129133133132124135134999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148147146146145144145148148147145146146143144141142143142143140138140136141141141138136130130126127128126126123123122121123121120120120121120110114115120121120120121120122122116116115117117116112113109111113113113113113112112112112111111110113113114110111111111111111111111111111111111111111111111111111111111111111110110110110110110110109109108108108107107106106106106105105105105105105104104104104103103103103103103103103103104104104104104104104104104104104104104104104104105105105106106107107108109109110110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156159159161162153156156157160161161156158156156161161161162163163164165166166166166168167165164167166168165164166166165166149145148145144149149153152149149151150146146143152146149145148146145150143150153154141150146133135135141143144145146140139143142141142137137133136136135136131137132135133133131131127131130129129131126128131127129131126132132130131129131132131131134133136134132128130131131127127128129123125127128127126124124123124126125124125122125125126124121122122120121120121123124125125124124125127131131131135133131125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144146146146148147148151149144143143145142143139140141141142140138138137137140136140137131130133130128126125124124121121121120120119118119120119120119119120119119120122121121121120115117117115117116115115114114114113112107112109108106109110110114113113113112110111111111110110110110110110110110110110110110110110110110110110110110110109109109108108108107107106106106105105105105105104104104104103103103103103103103103103103103103103103104104104104104104104104104104104105105105105106106107107107108108109109110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161159157157161161160153154154156156156154156156157158158161162161160160162168170170169169175168166164163164156166165169169166167168150141142146149139140151140132146152151143148138148145148148134142139146142153155143142141150140138135137141138139140140141140143144142137136133135139132129128129136134135132133130130129130126126125126127126130129126124129130128129133133130131132133133133134134131131131130127129128128125126125126127126125125124127128128128128126127124123123123123123122124123124123124124126123126126129132132133135134132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143144143147149150151151145140140140139139139139137138140138135137137141140142141137135136134133132131127125124125121121120119120119118118119118117117119119120119120122121117118118111115116115115115114114115113111107110113111108107111112112112113113112109107113114110110110110110109109109109109109109109109109110110110110110110110109109109109108108107107107106106106105105105105104104104104103103103103102102103103103103103103103103103103103103104104104104104104105105105105105106106106107107108108108109109110110110 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158162160161160160159159160153153155156158161156157162163163161162166166167168167171172171170170171170169165166159171171170170168168163143141143141140138139145144153148152152154142142143142147148132144143138140134143142139146143134137131137137140138143142142137140141139141136138133134133137136135136133135131128127130129127128122123122125127128127128129129130128131131131130131131131132132134135133132127126126132129130129129127129128128129128130130127128130131130129127127127126126126127128126125126125122125127133131132132131127128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147143146150151150151151138135134133133132134135135135136138136138138139139139139138134136135133133132129127127126121121120121119116114116117117116117114118119120121121119120119117110115116115116115114116115114113114108108107107107111112111112112113109108112113114114112112109109109108108108108108108108109109109109109109109109109109109109109108108107107106106106105105105105104104104104103103103103102102102102103103103103103103103103103103103103103104104104105105105105106106106106107107107108108108109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162160160160160159158159159160153154156157159158162161163163164165167169169171164163170172172171169168171164165166162173169170168171169164141144140142142143139142143133143137146147153151143148143141123134139149122134134132131129128134135137139137137138141143141139139140136142139140140137135135135130134132132128125129121128127126125123126123123130126128129129129124130130131132131130131131131132134131133129126129133131130129130129130128129128130132130130131132130130128129128129128128129130129127128128127123126124133131130128127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148148143152151150149144131131132132130129129131134135136137137138139140138139138138138136135133134133131128126125121121121121119116115116116116118116116116117121120117119118118114117119118115117116117116114113113113112114109107112111111112112113112111109110112111113107106107103108108108107107107107108108108108109109109109109109109109109109108108107107106106105105105105104104104104103103103102102102102102102102103103103103103103103103103103103103103104104105105105106106106107107107107108108108108109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160161159159159159160160159159160161162163156157159160162164158163164167167170170171164164171172173169169171171161163160164173170171170173170166145145142143137141137143143137138140134136143153139137146137135143139137122120118128125125133134132135135139141141140139133139141140138133136135133138133136135132129130129131129129125128127125127127127125126127128129128130130127128130128132132132131133133132133127126130130129131131130131130127129127129126132133133134133130133132130130129129132131130131131128128130131128125126134130132129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143148145141132133132131129132129131134134134134135138139139139141139138139138135135134126130126124123123122120118117115116113114113113115115115113121117119119118118116120119118117118117116115115111116111110112111113112112109111108108112110108108108106106107108111103102107103107107107107107107108108108108108108108109109108108108108108107107106106105105105105105104104104104103103103103102102102103103103103103103103103103103103103103103104104105105105106106106106107107107107108108108109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160160159158158159158158159159160160161163152153163163164164162162167167168169170169170163165165169173172165171166161159159161165166164172171171164147141143135135140137139140138136140138152139140138125118133136136131132137128120129130131133134137137133134141142138133133135135139140135134135131130132135136132131130131131131129128127125123125128128128131130129128130132131130132130131129133132132131132132129125129130124126130128130132131131133134132132133134134134133132134132132130131129130132131131130131131130131129134133132128127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141144142140132133133129129131131131133133133134135138137138138140139136137136135135136126128127127124122120120119119117116113113115115113114116113114116118118116119120119118118116116116113116117113112111112112111110110110110111108107111111110106104107105102111110109108108112111107109106106107107107107107108108108108108108108108108107107106106105105105105105105104104104104103103103103103103103103103103103103104104104104104104104104104104104105105106106106106106107107107108108108108109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153154157158158158157158159160160160162164153156166167167171162173175168168170169170170172169166168180164166171172165166162166163157166173161164168155151142147131136135138139145145132132132129136131119131133134133137139140134134128130135137135134136133134135137139139138136129134138136131133129131131136134131132132135133132130129129128124125127128127127127130128130131130132132130130129133131132132129132135134133132131130131128134135132130131133130130131133135135131129130132132132131130130134130129133133133132131131135133133130132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140140140138133133131129130131131133133134133133133134136137138138136131131131129132131134129128125123120120120119120119116117117112116114112114113113116116111117120119119118116115114113114114115114113113111112111111108106104106110107106110111110110110110110108104108109109110100102104110109106106106107107107107107108108107107107107107106106106105105105105105105104104104104103103103103103103103103103104104104104104104104104104104104104104105105105106106106106106107107107108108108108109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154154152144145158158157157158160161161157160162164166167163162171173175176177178170179179171168168172164164168169167170163163165170171170161161161165165149148139142149142131144142138144136139141142132124133137128134133137127131138138129132134122127128133136131135137136139131138132133135135133135136134134134133133132131131131130130131130127129128127125125128128126127130130129129129129129130134134133132134134134134134131133133132131132133132132131132129130132134134135134133133132129128128132130128129130133134132131131130132132130127126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138137135133135134131130132132134134134133135130127129129132128126128130131132132129125124124124121120121119119119119118114117116116116114116118117117117119118119118117116115114114114114114115112113112112112112111110107107111108107108108110110109109107107108105109108109110108107111111111106107106106106106107107107107107107107107106106106105105105105105105105104104104104103103103103103103103103104104104104104104104104104104104104105105105105105106106106106106107107107108108108109109109109109109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154154155154154156158158158158158159159160161163165167169170165163164167171166178166179176177170169167170169170166171167169167165171171172173167167164165164151142146148145142146135143143149145137123132136132130133132123117132126119132129128127127126131125129135132135136132133132130131134135134134131133131133134135130131130130133128126130129131129128125126124126127125128129129129130130130132131133133133132131134134134134131133130126129128132129131131130129131133133136133133134134130132130130129131129134134135133132129129127132131128128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136133133132133134133134136139138133134130133122124130131129131129131126136136135127126126124119116120118121120119119118116115109115118114112116114114118119118118117116116115114115115115114114114114113113112112111111112110111104106106105110110108108106107106107107107104107 99101108 93 99112110104106100106106106106106106106106106106105105105104104104104104104104104104104103103103103103103103104104104104104104105105105105105105105105105105105106106106106106106106107107108108108109109109109109109108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157156156156155156157158158158158155158160162165166167169170169168165161168172176178174174175176170164163164166179163167167167166164171170170171171172172168167151150151149143141137139142141145141132131120128133129116126123111119125115128125125124127126125125128130131133134131136132132134134136134135132135130134136135132130133129129131131129129130132128127125124120126129127128131131131133132133134133133133135131134134134135133132132130130131129128130132131131134130131134133131133136137131131133129130131133132132132131132129126131128129126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148146144147151999999999999999136126130133134134136137137137137136133130124125127128129129130131127129135134134133127127127126124123121118118115115116118117116117112113118118115110113116117117114117116115116115116116116114114114115114113113112112112111112112108108111109110109107107108109109109109107 92106 97 97 96 94101113 99 99103103101102106106106106106106106106105105105104104104104104104104104104104104104104104104104104104104104104104104105105105105105105105105105105105106106106106106106107107107108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155158160160159159159157157157157158154154159161166167168168169168170175164166172172175176174172173175171159162163161177166165163164165164164164169169162171171172170150152144147147143147145145144137137140129134132130130130116126122119122121116125128124126121123125126125130131131132129133129133132135133135133136135131132133129130130132130130130131130130128128128126124125128127128130130132131131134133132131134134135131131134133134132134132132129130131130132132134132132128132134132132133135135130130129130129127128129129133132127129127128126128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138152150148149153148144999999999123126128132132132135137136137136135135130131128128132130129128129129127123129128122124129126125124123121119119116111114112109114116112108115115117118112118116116116117117118116116115115115116116116116117116114113113113113113113112110110110110110110107108109108109102108107 94106107 96107105106107 99103104101104105112110106106106106106105105105105105105105105104104104104104104104104104104104104104104104104104105105105105105105105105105105105106106106106106106106107107107108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152152154159161160159158157154153158158157153155160163165166165167170172174171171171172172171172171172173172169177167167165165166166162167168164162167168160161169169169165152148156155142146146146146146142137143141138128128124120118120107105121117122116112120122122122123119123125127127128129131130130130134133132133134134133133134130125129131134130132131130127125127126128123126125128129133130130129129131131132133131133134130130131129131131135130131125127131133132132131131130129129133133133133134132132130130131133129126128129134131127127124125127127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146150150148148147145142136129127130127130132133131133138136134134134134133131129129132128128126129128128125127125123121124123123123121121121120121120112115115114115111109112118118119116118117117117117117114114116115116116117117116115117115114114113113113113112111111111112110112110110108107107108108108108106107108107107107107109105100104106100101104103102101102106105105105105105105105105105105105105105105104104104105105105105105105105105105105105105105105105105105106106106106106106106106106107107107107108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151153154155154159160160159158156155156157158160159162160163165167170170171172169170171171172171170171170170171168176175165165174164165163163165163169172169168167167168161168164152149149157158149155148152152138128140139133128132126124120103103109107106 97119122121120120120117110120122123123126130128128129129132131133132130130129132131132131132132133132132129129130131131127127122129126129132131126130132129132132132132132134134134131130130130130135130134133125131133131130130131134132133132135134133132132130131132134132134133130133134133135133125125121127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136152153146142141142142139133132128129129133133132131132138138136134134133134129128127126127126125125122122121122124122122121120118120121120120121121121120115114115110106107116118119119116112113116118118115115117117117117117116116116116116113114113113115114115115114115113112113112111110108108107107109108107106106109110108110109109105103105102101102103100107109100102 97105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105105106106106106106106106106106106107107108108108108108108108108108108108108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149150151154157159160161161157158155153150155158156157159157152166168171171171173168169169169170170169169169168169167167174173166166173173164164162163162167168168161161159159160161160149143149148153154149148151151145145146141133133130120116117118107138117 99 99118118118121117119120114116120116122123123124128126127128126129129129128129131129127130130130131131129130131131131131131130128128129131134133130128130131130130131129133134133132133131135131133135132134135134131131131127132128128132131132134132133135133132131132135137135134133135133132133131129126125999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150152151141136133135131132134134130129132135135136138136134133133132131132131129128126124126120120120120120122122122120118119120117117117118120121122121117114114115114112112119119116118119114115113112113117117113117118118117117116117117117115115115114113114117115115113112110111109109107105106107106108108107107110109108100 99108107108 95105102102108108108108108101113 94101105105105105105105105105105105105105105105105105106106106106106105105105105105105105105105106106106106106106106106106106106107107108108108108108108108108108108107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146145146150154157159158161161156155153149148148152156158159160153163166168169170171166168168168169169168168166166167166171171172171171171171171162163162162165161161165158157157157156157157144150151153151145152152151151148145145143134126123120116114122107118118118118138112108115112115117121117120123120123122122123125127126126127128128131131131130129129131128130130130129129131132130131131130129131131128130126127130131132129131130132130130129131132134132133129130132133131130132132130131130130129133132130130130133136133135132135136139136134129129132132131127125127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150148146140136133132131128128130131132133136134136138139136136133130130130129128125125126124122122121121120120120121120119118118118119117118116118119121121121118117119110117118118115115115117116120117116116112111117112112118117117118117117116116115115115114113111110113113113105106107106108107107109106109107108107109108108109102107107104110112108105108107105106108112 99 97 97 97 94103105105105105105105105105105105105105105105106106106106105105105105105105105105105105105105106105105105105105105106106107107107107108108108108108108107107107108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144143143143141146149153156158160160159153149147144144150154155156158158160163159159162163165167166167168168168166164164167167159161165165170164165165167160156165165165159165164156155156159152152153149151151151146142152151148148147147145144136131129119116122123122120119 98106140110110113111113121121121115121123123122121121122126128127129127128131129131131129129131129130131130129128132131131130128132127131132131131129131131131132132133133131131128128130130132131131128128130129131131131130130132129131130131133131130130136133133133129132139141138136131130133133131128129128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134150148142137134133131130128130131131133135137137137135134132132131130130129130125125124126124123121122119117118119120119120120121117118121119120118116120123122121118118119118117117114114113114117120120119114117118118117118117118117117119118118117116117115112113113113112114113108107112111109109111108105108106106108109109110110105106106107109112107111110109109105105103 98 99 97100 97102104108111105105105105105105105105105105105105106106105105105105105105105105105105105105105105105104104104104104105105106106107107107107108107107107107107107108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126126138138138139131133146150153155157159160150142141149149152153155157151153155157158161162164165166167168167167165163165165161158169164163163163163163165165163164164163163162162160157156156155153150143144145147148141150150146146142142141140141135129123119119125110121121121110113109117116119115115114109114118119121120120125128129125123124124130130129131129130130131128132129130127129129131130130129127129130132131131130131130131133132133132131131128127131128131130129126128131129129128129131132132133133133132133132130131137135134135129131137139139135133133131133132129128131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134149146140137135134131128131133134132132135138137136134131131129129129129128129128124124125124124124122120117116117119118118118120118118120121122119119119121121121121118118118115115116112112118111110119120119115119114115114113114117118119120119118117118118117118116114115110107110106111110109111109109109108107107108109108112111111104107109107107104111110111108106104105105105104102103108106110110102105105105105105105105105105105105105105105105105105105105105105104104104104104104104104104103103104104105105106106106107107107107107107107107107108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999124123122134135136136126126135141147147152156158141140147145151153152147149149151153156158161162163164165166167166166165165163162165160168163163161161162163163163162162163162155161161161160158155153150145144144147147145143147146147142141142144140136135134129125121122120119116117122121116119119120118121117117115117121121119123131133126127129129125125126127127131130128130127125129128127127130130130131131129128128134130130131131131131133132132131130130127127129129131132130127127131133128130133133132130133135134133134132134134135134133135131136137140137136134135130133134131126132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133147143138136138137134131132128132131129135135135135134132130130130130129129128128127129129127126126125119119119116118116118119120118117120122121118120119118119119118117115116117117117117115116120119120120116117119120119117119117117117116118117118118118118118118116113111112107111110112109109110104110109109108101109108105109109103110111109108107106108107110109108102106109106104105106113107106104107108100106104104104104105105105105105105105105105105105105105104104104104104104103103103103103102103103104104105105106106106107107107107107107108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133131123131131130131130132130129128128133137141148138138135152151143145146146146149151153154157159160162163164166166166165166164162165163163163164164163161161160160160160161156156157162161159160158155149143143143147146143141143143140143141141143142138137140135131125124126121116119121124126124121124127126135117118120121119125128135129130127130128130129126128128129129131129127126127129129130130128129130132133130130130130131132129131133133133130131131132132125128131129127132131131132133131128129131133128131131135138135131134132129133135133137137140141137137135134134135137133134129132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150146138138140139133132132128131129134134135135134135133130131131130130129127130128128131128127126123119119117117117119119999999999118120120120117118115115114115117115114115115117117118119119119121120122122118119120119110112117116116116118114116117118117118119118115113113113113107113111112112111110110112108109112107105108109105107109107107108109107108111109106107107106108104106105108108105107107108106102100105104104105105105105105105105105105105105105104104104104104103103103103102102102102102103103104104105105106106106106107107107107108108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134134132132130129126125125125125125127131127124128112999133134149148143142143145147147150152153154156158158160162163164164162163163165165164164163164164163162161161159158159160153154155153157155155153151152148141143138139141138136140144144143142145142139138143144141139136128128125126129130138137136138133128121123124132140118129125133138143131128127130130130132131130130133132128127131128127130131131129130129128129133133130129131132130130133130132133133133134133130131128125128132132131134135133130131133135133134131135139134136136134133138139132136138140139137137137134135134135133133131129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131153146140139136129127125128130126130134134132135133133133133132131129127130131129123123119121126120120119118116120121120107999999118123122120120119118118118115115116114115115118117118117108115122121121120120117120120118117118116116115115115117116116116111111116114116115117116116116117114113114110113111110111111109107109108110111113111110111112110108109108110107109110108109111108108109106104105101103102103103102101105105105105105105105105105105105105105104104104104104103103103103102102102102103103104104104105105105106106106106106107107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147142123120122126136136133127125119122124132999128125119140999999999999999144144136142143145148151152154154154156157159159161160161160160161161160161163164163161160161160160160159160159160160156156157154149151146150149149151143138138139139142147146143145143144143141146144141136135138129130129130133140138137136135134133133129135138124135122135132131135127130131131130135132132132134130131131132129130133132133131131129129133133133129127132130130131132131129130131133133132132132129127131132132134132132133136134133130135136135136137136137136136137139140128136136139141138137135125124134137134134133132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154152145139136119118124123126127132131135133133132132134131131131127127129129129123123115130124122121111113116121118120117123999999117121122125122120118119110112114112114114116116117117113113117116121120119118119118119117115116116115110111113113114115110109113117115116117113115114116116116113112113111111111110109108107109109109111104110109109108108106108109110109111106108109109111111111105107104107105104104 99102102105103105105105105105105105105105105104104104104104104103103103103103102102103103103104104104105105105105105106106106107107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147135146146141126128144144142138131128119999999999133124126122999999999999999999151145143146147142143145152153154154154154155156156158159159158158158157159160161161160160160160158157159159158158158153152152152149150147147148149148142137136135138143148145145145143144150147143138140138141137135131131136140136137138130134138134140139138141128129131138132131132132134135134134132135128129135132130133132132133134133134132132129129129132129131132129130130130129130129130131130132132130131130130131132132133134135134134134133132134133132132138138134137138137140139133134139139140137137137133135138138136137136133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129149143137122122125125124125129128126125132130132129130130131126126129128127124126119128125124125117112113122118120120119121999999999122124126124125122113114114116115116116116118116115115117116116119117118119118118116116116112116111111111111113113117116116118117115117115115116112115115116115113113111108109107108108108107104107105108108106109110108106108107101104104105106105107110112106106104106105106105106100102103105108105105105105105105105105105105105104104104104104103103103103103103103103103103104104104104105105105105105106106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148148140149149141143145145151146142122120132131134134126127128999137999999999999999152151149148151144143151152153153152152151151152152154156157158157155155157158158158158157157158156153154154156157155155156154156150152149148148150150140140136136138136146146147141139136136136141146138141144143141134132141140138137138144147139147133137138138135133136139132131129130134134136133133136130130137130135130131133133134134133132132130129128130132130131130129131129130131132131129130131130128132132132129132131132133134132135134134133134134134134136137137137138136140140140139139139139137138137136130136144141140139135999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150142133123121119119121123127127128123129130125124130130131133126127120121117115123133124128124122125122118120122118115119117117999999117124123124124122121117117119119118117118119119118119119115118119119118118117115116111114114115114112113112115112116117117118117116116116116115114115117116115112110110109108107106107106106104106109103108110109109108109110105105103101106108108103104105104105104101103103104105107105108109105108105105105105105105105105105105105104104104104104103103103103103103103103103103104104104104104105105105106106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149149153152150148146139147140147146127125124132132129127127128145142141999999999134142146147143146153153152152151152152150149148149152152154154155154154153154156156155154154153152151149150151154154154154156152158155148147152148148147138139136138140140141143145144143143149141148152151145148150143136133128131140142144145148149149142142140142140135137138137128128132133136136131135133132136134137138134133136137134136132133130133128132134132133130132131132131131133133131129130130129130131132130129128128131131132129131130131133135133135133135137136137136139141140137139141139136137139135138141139143142140139138138999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132129125115115117120122124128129131130129125125133136134134133128121121122117122126126127118120124122124118117119117119119119119118117117122124122123122122119121999121118119120122120118119118114116118118115117116116110112114111115112114118109109109108113111111118116116120119117116117116117113113111110109108106107106106106105109107108111106109105106105107108109106104105106104105105106104106104108105104108109104102105105104103106105105105105105105105105105105105104104104104104103103103103103103103103103103103103104104104104105105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143155145144145144134135134131125132128119128129132142140136139139127131135142148147147154153152152152151150148146146146149150151151150150151152152152152151151150149149147149148151155153151150149151150152150153153148150149136139139140140141142143144146144139146152154152157149156152154151153151146148139140136144149148149149143143143139137137137133131134133135135132133135131135136136137138134134134139138134134132132133136138136135131134135135135135136134132131133131130131131132133132130131129131133132134134130132134135134137136137137139141142140140139141140140139141141140136141140145145143140138135999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131118121121121123121122124125128124125129127128123126127132133131132129128126123121119122122121120121124117117119119119118119119119118119115116122121122121121121121120120114113116121119117118117113111110113112109113112112113117113116115115117117113115117110110113112111114112114114112111115115116115107114 99108110103103 99106104107108108106103107104103106104102 99104105102104104106105107106104108104106103104104106104105104104108109108103103107105105105105105105105105105105104104104104104103103103103103103103103103103103103104104104105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140999999999999999999999999999132118131131129136126126128122125129133143147152146152151150151150150146139144146148148148149145144146148149149150149149148146145145145148146149152150148143146150152155154157157152152154133136143140142139142136142141151146145150148152148147150150153158158154156159136153156150154138147145145145137141142143140135135131135136138136140136136135136133131136135134137138137133134138135135134135136138133135136138138135133134134132133132132130128131131133133131131131134134135135135135135137136137138140138140139140139138139141138140142141138138137141145146151141140136133999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133131141151999999999999999999112117109114115117119125126127123123125128127125129122120125130126122125130127127127125123123117112116120117115116120120115116115116115115114109103106117117116114116116110112116116123117116117113113111112113106115107117118117118114115115114112112117117112113112111112113117113113114113112113117111116116114105112113113111111113106101107109108104 99 98105108108105 96 97 99100105105101103104103108107104105107102101105104 99 99105108110110109107107103109107106105105105105105105105105104104104104104103103103103103103103103103103103103103104104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128127131132131136137141131124142138139141144146145143143143143144144143141143144146140139136135135141144145145146147146144142143144144143139146149150152152153158161159157160160157157161144145138138138136137136137148149152152150148149148151150153152155156149157155152160156157151145145144150147141142144144138137142132135135137138138136135136137139138138139139138139134137139140137135135135135138140138139138137136135137134134135134133134130130132134132131129133134133134133132136136133135137135136137139141139136139139139140143142141141143145145148147146147146137132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140134135138139142142150135125124122119119121120117119119123123122120117128130129125124128129129129129126127126124122122121122122121121123124123118114116117116115116116115111112108111111114114119113114112110113117120117117119114113115117117115114117114115114113113113114118114112114114115116116112112112113113112114113112113114113112109116108113106103105113105109105109106109108108101105105108108 93 90 94 96 99100101100101103103111104105107107102105106107106108106108109110111109105104106105107109106106106105105105105105105104104104104103103103103103103103102102102103103103103104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133131131134142139129133129143143137140140141142142140135132131134135136140139141145143144147126130131132139142143144143140140139143144145146142143152157160160161162162160163162153151155158153144141135136135135138139138136147148153146144146147144157152153165160147148155167152152149149142147149149145143141143144140140132139137136137137138137140140139140140139138139141139139140139141137137138137135135138138136136137138137135135136133135133132132133134135134134134135135136136136137135134135138135137138139141139139141140141143144142141144145143145148148140149147140131122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131133131132123123138138130132132135134133128119120120114119126128124123130125132132126126127128126129129130131126125122121120120120120118120122123124120120119120120120117114113117115105108110116120119116107112113114114110110107112111111110113114111111110112111112109109110111110111113112114116113117114115111109114114117115114114114113113113110111109105102110106103103104106103108106108106105102103 89 96 93 95102102103107107104105102 99100102105105102107106105108109110109107106107110110111109105109103107108106106105105105105105105105104104104103103103103103102102102102102102102103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138136138146143999999999156149138137140139142143139138140999143136134136139142144152999999128132134131142137141140140138139142145148150152154157162166162161167169172174999999999999149155141141140131134142146144144141138138149145142143148146143159150151161151150154154152147158149157157144148148144145144145141140142136135139138136137137136140140138141141140139138141143142141139138139142142141141135137139140138138138137136137136136134135135136134134137135134134135135134136136135136137138137137138137138143143143142142140142140142150147147146151145153155140148139128122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130142133130125134132132130121128135134116135132131128122121121122125126124119123124132131129124126127127131127125122123125122122123123120119119120122122122120120119119117121118114105103103106107113118119119115117111110106107105110107109111109111115116112108110110106108106104107105109108107110110114114113109111108111109105111109120119119114113115116114112107105106111106110110106111113105102104107101110106107 97105103 99 96104102109101102100105104103106105106108109105105107108108106105108112111108104105111112111108106106105105105105105105105104104104103103103102102102102102102102102102103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143138141999999999999156155149144142143142142144142140142999999999999999999999999999999999999153144140142142141141141142146151151152154157160164167169166170173175172174999999999999999152137133136137143145144141136141141140139144142144147150151151160159161164167155154152155156144151159147151151144144147148147143145137135135136139140138138141141137140141140142142140139143142143143143143144141141143140139140140139139139138137137137137137136135135136137136135135137136139137139137140140140138140140140142144145144142140142145144148149149145148151151152150143144141133130999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145131131136130136133138137135134122131128138137131131130128124122120119122124120123124131126128125125124125127132132126124121125124125125125125126125124124124123122123124122119120119122122121102113110108116117118112117114114116105110110116 99118115109112112111104106105106108104 99105104104105107108109111112114111111110106106103106108110109117106113117118115109111107106105102112112106111104104106107 97 98109109112108104101108101101101103102101107103101102104107108108 98103105105106107107105106107105106108108 98102107106105109107105105105105105105104104104104103103102102101101101101101101102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139143141146143999145145157156148143142144145145147146139140142999999999999999999999999999999999999999145142138138140145145149154154154156159163164167171178172173171172171173158999999999999137139136135131126130134134136138141141140141146146146149142153163163165166164163165152145149153156159154152144144143147149149142143138138138138140138143142141139138139139140143141140142143141142142144145143142145143144138138139141140138138139138137138137137138137137138139138139139140140140138140139141139140140141143143143143143140143140144146147149152149150153151150147149144140134138999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128133133132130111110130127126126128124125126130130132128129128123125123121123126119121131130123130124125125127133132134132129124123121122120119126125125125125125125125124124121107120121122119119121116114116114116121115117119112108110116118112104 98102106115110111106110105105107105103101102103107109109107107107109105109110112110107109108109109112107110112110109114115114111108107113102103105102104105104107103102 97105106107104104105103 98100 98 96 98 97 98 94 98 98104102101103102101102104103103106104105101102108104103105109108109108107107105105105105105104104104103103102102101101101101101101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141151154150143999999999999999145145147150151152152154146128999999999999999999999999999999999999999999999999142141140144145151155155153153159164166171176179180180181175176175169179999999138138136135133128122131130131135139142135145144146145145145146150155162155156164157159157157158156158158156157153150155149147147144143141143145142141145145143142139141139140140141143143142143143143142144144140139142141142136137135136138138138139139137139136139140138138142141140141141141138140141139138140142142143142145146146145144141141143147147145146150148151149151151152156150144143141999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152136139130129113115128126127125125122124123127128125127128122120124124124127125127128129130127132131127132133135129131129126123121122121121128126124122125124124125126125123122124124123123119117115123127127117108114117107112112113117117119119104109116115116112110110108107108111107109103106107109112107106109108107113108108109109110107109107107107110115113103113115116113111108108107102103101 97100100101102102100 99 99102100108105104106109103 97 98101103103 95 98 99100101100100110111100105106105104103102104103 96 98105108110108108100101108105105106105105105104104103103102101101100100100100100100101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132137139141143999999999999160154147146151154158158999999147999999999999999999999999999999999999999999999999146145144145146152156154151153157165170172169172172178175175171172174179999999136134133139142126125131128130130137139143141141143142144146148149158160157153157145147148149150156159159160158156157152151149149145143149147148146143143146143144142141142142140142143142144143140141142142141139140142142141140139135136140138140140139140142139140140141142144143143142143141141142139139141142143143142143146146146146144144142146146146146143149148150152153153154156154150148145999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130144140130127129116125127128131130127130128128126126126119118118122124122126127128129130130128126129131132128129126131132128125123121128129128127125126124126124125126126125125126123123123123122120120123119113114110112122122109118115110121118116117119116109113113117112113108108111112109112112111111111110111109109109111106107110109110110106106103106109109110104103113114113103108112106103101103 98 97 98102 99104102106105104103105104106100102106103104105101102103105 99 99100101109101100102100 97100107103100103101101111 96108111107104103104102101109 91106105105105104104103102101100100100100100 99100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157156157155157159161999999154154999999999999999999999999999999999999999999999999999144148150149152153150151151154159165165170171171171168174173167168155149999164128129133134122125128127132133134135137140140142144147146149147155155161159160144156149159160153159160151149158158152150152151147148147148145147145147146147145142142143147145143141144144144143142141142145143140142142142144140139139141141141141137142143143141140141142141142143141143142142142141141142143143143142143146147147147144144143145144147143143149151149148149148150153157155151148149999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130139135127127129124125127125125123124128124126126123123121120119126125125126126122126130130129131132133128128129129125132129132131130122130131127125128123125124124124124124123124124125126124121115118121124119119122111120115110114120118117120118117116111111106109114111113112112113109111107108107110111109109111111111111109110112111111110109111109106109110110106107104110107104112110109105106108 97 98 98103101102102101105100 96104101105 97105107106104 99 99104102102102105105106100101 98 97102107104107103103108108103105103 94103103101106104101108105101102 98105105105104103102101100100 99 99 99 99 99100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151143157156162163165162999999999154154999999999999999999999999999999999999999999999999999999999152151148149146144145149150156167168180172173172170171171169159155999999999123122128128124125124125128130132134136137144147149153148152151144153160159167152152154153149149155159154153158159152148152142149147152145146149146149143143142141143144143143142141142143142144144143143142144142141139141141142140139142142142140140143143141141139141144143143144142143143142141143142143142144143144145146145146145144145147142146148145144143145149148146146151156155153150148148999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130135134132132132124125128122123129124126124125128128127122123122128128129129132131129131130132135134136137138131131138136134134133134124133133132128127124125123126126126126126127125126124125125120117111130126125123121123123110115119116117123120116118119115116119119117115116115114113114113112112109112113114113111107113107110112111111110108110111111110106106108109108107110110110106110106103102103103103102103102100102104106103106107110105104106106100103103105105104105104106103110106107104105105104105109109107107104106104 96 97 99106113105107109110107109110104104105104103102101101100100100100100100101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153152152151151151151999999999999154154999999999999999999999999999999999999999999999999999999999999999999145140141141142140146168178177179168167171177178183179158999999999999134119124122123123122124126127132134137138147143142155148150149150154155161165165159160156151158148159159161158156158151143149152147146145145141142146145144145146146146145145143140142147147143141143142143143137138141140138138137139141141139143142142143142144142142144144144143143144145144142143141142143145146146144146144144144145146141146142143146148146146147148148151151152151154153150151999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128135133132128122124125119122124123126128129129130129130130127121127126127130131132128127134135136136138139140140141140138138137133133133132131127128127127125124126125125124124124125127126126119119118117130123119123121110119120121121125123123120118118119123120120117118117118114113113113110113113113112111112110110110110109111110107107108110112112113110111110109108108110110105107106108104101101101103103102103102105103108106103101110107 99103102 99103101105105103104108106104108104106100 95 97 98104105106104107104107106103102 94110108 98108111112114112104 98110105104104103102101101101101101101101102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157161130132146168167173172166168999999175181181999999999999999999120121120120121117125126130133133139143147149144147150155148150153155162161155166159157154149151151157158156156155150147148147146148146142150147148144144143145147146145145146138141144143147143146150145142138140143141142139143142140139140145144140140146146146144142145144145146147146145144144144143144145145147148146148149150147148148147147146147146146146144146148149149151152154153147144999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128138137133127125120124125122122124130127130129127127130129132128126132131131128132133133134135136137137140140140141142139140138137126133132133132130130130122120122122122126120121128126128127127125127127123122123122122125109123121121121119122121121122122117120119119117119116116117115116114113114111111112113111111111111106107111113110108109109111111112112109110110109111112112109107108105100100 98 92 95101103107107107104105104104106109107110110106108110108109101102107112112107 97103 91 97 92 95 91100104103102104104100107 99108 87 93 96 96109110112111111106108109105107 97103103102102102102102102102103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167170171171170171173999999999999999999999999999999999999999123113115116119121125127128131136139140146150146145149150153154153153160160156159165172147145156148152157156153152151151146147146155146142146146147147145143145147147147147141139146149152136146140142145142135139143143137143143138142143146143143142143142146149147146145139145146142142144145146146146147146146148149145148150153148149147151148150150148147146144145144144144149151153151147144148999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126134131125125121123121122129129130129129131132132133131133125125131128134131128134135135135137138139140140139140142140138137137137135132133134132127125122122122123123122122122121122122122121122121126121116121114118119127126126113113120117121119117123113120120120117118114114115115117114116113114114112112113112111109110111114107114114114110111112111108109110109110111111109107105103102101 97 94106 99 98104105106106105101104103107107108110111109109102103103 90 93 93107108107107102104 96106103 95103104103104103107108 98 99 86100106107 86106110104101 89 94108104106 98 99 95 97103103103103103103103104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194190182174999999999999999999999999999999999999119118117116112116117121125123127131138137139145145153146148151153152151158161164166169167153149162149149152152148153150149146149153150145145145146148146147142145143145147143145143143144149140139136138141140140143142147148142142141146145145145145143141144145147145145143139143141141143144144144143148147148148148149147148150152154154149147146147151152149144144145143144145149149153151149148148999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999125132125124125120120120118119128128131129131133129130129130129129130132132131134133133135137138138137138140137138142140138132132137135131128129131129128123123122123125124124123125123121122122121123124121126127126122124126126124125109117117116119119120122121121119118115115115114114116115116115115116113114112112111112113113111111111111114113114111113108110117110109106112108104103102101101 99101100105104104103105106104106102110107109107113110105111109108107102105 99109108106103104 99110107104 98104 93 96100100107 99102 98100106104101102104106102104 98 94106107111 99103104104109104104104104104105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194187168163999999999999999999999999999999999999999119118108107111114117121123126130136135136142142145144151154158149148157164166167167166157151154146144149150149151151147147143144151141143146149145145149147144142150146143144143142152154141137137137146145146142141142141145143142144146143144142142140140141141143140141142141140142144145145146145148148148147147149146145146148150150144153152150149149148144139149151150147147150156153149145140999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138132132133131134999124120123121121121122117118123134134130132133132132133131133135128132128133129133134132136138138138136136134136132131130128132128127127125127125124123126126127127118118126124123122124123119120120127123128124121123124124126125111103115117121119120120120121119115118115117118116116117116116115115113116116113113114113114113112111111113113114114112110109110108111112108105104100101101101103103103103105105106107107108106108108109113109110110106 99 97105103104102104104103109103101103108107100 99 99109 96 99110108 99101103 96106115106107104107104107 95110104104110111104100 96103109102 97103103103103103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163163999999163183178163163163162999999999999999999999999999999999999109108104110110110113117121125130132133136139142141143146147153155152154155166168167157156158156153140148145147146149150149147142149146143147150145143144143144146145144144141142142141143139140138139143142143146138136134137136144143146143142143142140140142142142141142143141144142146146147147146148147150148146147147146146151148142143152152149148145145141144143146146142140140153150146139135999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132131133135131131128132133125119120117117120121124127129136134134131130137136136137131130126134131129132131133136134136139138138133131137132132130131131132126125124124122121119125125122129122108121117127124124121121123121125121123124126124121120121123123126125126130127118118119121123120120120118119116117118118118118117117115115116116116115115116115114115115115116117115114116116115108110115110106104106104105104105103104105104109106107107110109109109108107108110109107109102103101100104105107106105105106105108103104 97112103 97 96101109107109107106111112102111110109107 98103103106104108107101 94105102106 93103105111101102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161161160183181172170162161158999999999999999999999999999999999999999119123127120110112116121124127129132136138143142145145148153157160161155165154153160149146170151144150146148146152150151143140148143142146148147143144146143142141142140142142140139138137140140139141140145141140146142143142141142141140140140138139140142140141142142141143142144146148149145144145148148147146152149146149149145149145145151147141148147142143142143139140143145151148143135131999999999999999999999999999999999999999999999999999999999999999999999129127129999130129131137136133129130124128129121120117110110114115117120128134134133136138137139138138130133136136135134133136133135135135135138141134131134133132132131131131131130130126125125123122124125126110108122120127129124119125118120124126122123124122122121124125124124124124124124122124123121123121118118120119118118119118117115115116118117117116117116114112111112113116116116113114112117115112116116114110109104106109999999999999999106106104102107106107103105107109106108107107114112112105100 99104105100100106107105108104106107101109 98 89 98104102 88 99107108109103106105105103103105101 97100103 97 98100 95 97100105 91 93 89100110100101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158157156156155155155155999999999999999999999999999999999999999999116122123117111114118123127130128133135137142145149152157150159160157156152152152151145146148151145149148152152153151148144144144140144146150144147149142144142141142143142142141144145141141140138140143144141141145144144140140138137139140137138140142144143141142140141138143146146146145145143147147151146147152148149143143149142142140142141145141142143141144141139138141137134135133127131999999999999999999999999999999999999999999999999999999999999999999999999136135141139135130128125122120118124127126126118118111117119122127125129136132134134134134133128126137136138136136136138134135137135134127132131136133131131132128132130127126126128126124122123128119118120120122121122122125123123122121125123124124126120122124124126125124125127127127125125126126124121121120122121121120118116117119119118118120119118119116116115113116115114114110109107110113117114117117115113110107108107111999999999999999108108109108108107105106103102110111108109113110108108108108110 95109105109107107105102105107109108 98103103106106104106107105106108104 95101103107 92102 98 97103104103101 97 96103103 86 99 90 98107106 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155153152152152153999999999999999999999999999999999999999999999122117117119116117119123127127128133134136143142148154152149161161157157156164165154152154145149155149147148141151149147146141142144141146148147145140142144143139138140141143143142143142143142140142142142140141143141139140140141140141140139142142141144143145145144143144144145144147143143145147145148150147150148148145149148148147143140138140143141143142142139140138134134134129137130128999999999999999999999999999999999999999999999999999999999999999999999128134135134128130127125124121117113117118123123123123120118127128128128130135136135135135136136138140138137138138137135137138138135129120125120120136123137130128129132129128126126126126124124125126117117118118117123120125122121123122123125124124120119121122122124123123124125128129126128126126124122122122124121121120122122123123122120120121119119119119118113112114113115115114114113114114115116114115117118117114115112112114111111112108105104105110115113108110106104105108114109113111109109108104101108104109109110106110108 96100109108107107106105105106102105107104105112106 91103107102 95103 98100101105102102101102104101100104 78103104102 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152149149149149150999999999999999999999999999999999999999999999120115125113113113114119120127126127131140140143147152155155158155154157140144156141145154158155152147149150146150149145148140143137143145147142140139138141137141140141142141139143138139142140141140140139139140136141141143140137141140141145143142144142144145145145145145142144145144144144145144144145146146149147149149147146148151147144140146145145145141141141145142139135135132137133135999999999999999999999999999999999999999999999999999999999999999999999136134133127126127127127121115111115115113118115117122120120127128125127130137135136136137135141138139138140138140138135128134138133130125130131119122120134126130117131132129107126130132125132131127129119118101100127126126126123121122123126124123123120121121123123122123124124128126123124123127123123122123122119120121122121125124126125123123119113119116116116118119114115116113112112112115114115115117117114117117115115117118116113108107106103107111112109113103104108106103112111111109108111108101105 99 98 97103106107107108 95108108104107101110106104106105103105103104107110108100 95 99107101102103101102103102101104102 97103104 75 95 95101 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150148148148149150999999999999999999999999999999999999999999999115114122111107110113117118122122123131134139152144152155156159162157153143159153141157154157151152151151147148148149146139144143138146147145142147139137137133140139138142140138139138140139138139140139137139139142143141144136137137142142143141141143142140142144147146146143142145143142144144143144145146146152150148145144144148148147146145143148149144142140140143147138132132132139139136135999999999999999999999999999999999999999999999999999999999999999999134132130126118118123119119118112114111113110110119118122123126129122124131135135139137137132140139138139138136140139123138137128132127128131129129132131133133128132131135133130125125130129130128126127127126125127126124123121122121122121121121120122122117121123125122126125120127122122114113124124128128124126122121121122119122123123123120119113111116118118118119119116115113112115116115115117116116117116114115116113114115116117116113109108105110114115115113103 91 93103109112108105103105110111111107110107102104105104104102 98108 97110104 99110109 93102104106105108104 96100101106 98 97 99105104 92102103 93 92 93102 94 96101 94 93 92 92 94100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152150147139138150151999999999999999999999999999999999999999999115120121119109103106108112113119119119124134135144147154155147158161154162152155154156154154148146147148148148145145147143142145145141143149146144141144142137136139142138138136133137138137142137134139136140138140141142142137137137140140139141141139142142141145146146146146144142143142142143143144147147147147149146144144142146143141142146144144146147144143145139146143139142142140142141140136130999999999999999999999999999999999999999999999999999999999999999131126127126124123123120120119117119118107110116117118120124128131135130135134139137138139138134134133139137137139133116131135135131126128126122128132131131129127128125121129125129130129130129130131130130129127127121118118118121120121121118118118114115122121125127128124124122120120120121115129129127127127129128129123121121121129127123116114112119122118111112124117116120117116115112113111112113113117117115118110114114113116115116114111113109108110109999109109104102104109110104105 96106108106108102104 99 99 94 94 94 95102105100102109103 96109110108105105104108110106107 99 96 96100102101 97 96 97102101 89 90101103 94 94102 90 84 97 90 94 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158140141141150999999999999999999999999999999999999999999114114107118110108103106108110111113115119122126130133144149152150157158157151150153155153154152147146146147145145147142141145140140146146146149145148143143136136137136138136135136136135135136139137135137137137139140139139142141142138140138140139140143142142139139135141143145138145146145146147144145147148143142144147143139139142140142139142142144145142142141141139138144136142144143147144141139137999999999999999999999999999999999999999999999999999999999999999124120123122122124126123119117115113115110109119120121127127127131134133132134133134135135134137137133133139137138136136136132137137129126127129128123128137129129121120115122125121123129130128128129128125123124123120119127119127119117119120116117119120122120118119122125125108112111104106111123126126126128131125128128126125128125124121118117119119120118122117112112121115119118116117115114113117114117118118116118120117114114113110116106109112108107104107110106108106 91108107109105106106107109109107107100101 98100 95 92105103 99102105 97 99107108108107100104105103102101100100102103 99 98 97 98 98102101 99100101101 92 92 89 84 92 91 89 90 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155152135150999999999999999999999999999999999999999999114108117119112108106107108112111110112119124127131137140148149149156155151148147148149151152152149148144144141145146146142132137145146149139149141143143141139139139140142138135136138137140138139137136135137136136138140141141136137142141141140139141139138140141138139143144143137144145146145143146147147145144145144144143135133141144142141138139141144139134133133132133138129138140148145143141138137133999999999999999999999999999999999999999999999999999999999999128121123124123124121121115115112117110112113114117128127130130133135133135136135136138137139139138136134133132132131129137132125136133133126133127127125123121129129129123122122121117128124128111123136135120120120118120121122122120121123122127119119128128118124119127135137123118114118124126129129128128124125125123126126126124126126120120120118121123120120107111116114116115118118118117114116115114119117116118118117118117117114115112112115117110103103107118113104110 96107108108108108107108106103107103108104105105101100 98 96 96 88 90 93 97 87101 98105 90 91 88 88 98 98 94 94103101 99 97 96 96 96 98 99100 99100101102 92 93 93 81 88 82 83 86 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155155999999999999999999999999999999999999999999113112113116110110110107111114115114115120122127129138140144145144151151149147145147145147151149147145142143142142144145140137138140139147143149142143138140130140137142141135135138138138139140139138136136138139136140142143144140138144143143138139139138139141141140144143138139142137141135139141141141148143146144143144142139135142144141138140136137134134134130129130128132132135137139140138138138129133999999999999999999999999999999999999999999999999999999118121127124116122123121119117116115117114113109112113124128129131133134136133137139139140137138140138136136134130129130129131131125135132112114125127128132134132129119131132128128122121133127125130133132131130116118130119127125125126129128128120127118117118116121123133127117119125124131133134129125130128129128124125127127126125123125123125122122121119114116114115111112112112117116117119114115116114117109114111114117118118118117119119116114115117111111112114112113109114105109108111111109111108110105107102104105106106107105102 98 97 91 91 91 94 92 94 87 88 93100 96 95 91106101100 99101100102 99 98 96 97 98101101 88 78 84 92 91 81 77 88 82 83 81 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171164167999999999999999999999999999999999999999999999114116116118111111106107111114114111114119125130133135140142145144146148144149149146148147145146144140142141141142143143141139143138141137140141137138138137137138140142138139138138137140139140140137137135137140140139142142142140132134140137140142139138139139139139139136138140141142144138141144141139141141143143143143140138139139138137134131131130131134132134132127127126124131134127137136139140131132999999999999999999999999999999999999999999999999999999117120122122124119118118118117116113112117119114108110124125124124119132125133131133132133134137139136137137135132130129124115127123108127111111119132128128131121116132134128129128122129122117129125123121120120127122125128128121123122122124126121125121127129126123129123129127136135132136127129126125131127126130129128129118121120121127121121124124122118120119120120118118116113119119120116109108115114116113113114117115116115117118119119119116118117113111112109113114111111113112106109110111114112109109107103102104105107101104101100 98 94 93 93 92 91 87 87 92 93 92 92 93 84 96 91 91 96 97 96102 94 98 94102 99 90 92 81 84 86 87 84 87 88 86 90 93 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168177161999999999999999999999999999999999999999999116117116110107105105108112114108113114119125131136134137143146143144145145146150146151145145142140141142143139139137140143138139141139136136140141141142141139137139141142141139137139139139138138138136135135137139138138138140140128133139139138139141138139140139138139138136140143144143133138143141141141138137138136137136138138136135135131129128128130131130132130125123121124130131140139137137137128132999999999999999999999999999999999999999999999999999125122125129126123122120119116110108111117115121120116122127122123124121126120129131136135140134133132136131131134128125129131127127125126133131134131130125134136136135136137127127122117125125132123121123120122121122121124125119121121122124120127127128129121130130123118118116126131126135135126112129124129128130128130128128116116116114127130123122122123124123122124120118119116116117116116118110112113114115113113115117114115116115112115107112115114115110111111106103113116115114111104107110109108110108109110105106106105100 99100 98 98 97 99 97 94 87 90 83 85 90 85 88 86 95999 95 90 89 90 93 89 89 86 92 91 91 90 89 91 87 81 83 85 89 89999999 88 89 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153156171179181999999999999999999999999999999999999999999999112116114105105103105108109108109114121126129138139138140140142140143148147147141149142141142140140140139140138141137140143140146138141140139141142141140140137137136140140138136138138133133137138135135137136137137139137137140130131136137137137137136138139137139140138136138142143141138134137137136137139137138132134131136136136131134134132130129131132131131123128131124121127133135140136137137120131999999999999999999999999999999999999999999999999120122129129131126123122120116114112109114110119118111110116117121117118124119119126135139137128128132131128124126129133135133129130129124133125132133127120123124131125129132136135133132128125124129125124127116121121124126126125125123126129127122128127115122130125128126124125116117124132133133133131131128129127126129126129127124122125125121124119118120120116125129122121124118118116119116117118118117113113111113113116117115107112113113111108112115115113115112113112105111114113111108105108108103106109103107105105105105103100 98 97100 98 98101102 97 94 85 92 91 92 85 84 88 92 88 89 86 85 83 86 85 87 88 90 95 90 88 86 90 88 85 87 87 84 84 90 86 89 89 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166162165166175171183999999999999999999999999999999999999999999999115112110105104101101107105110116120124132136138135135138141146142144141149148146139141143142139140140140141141136139143141137139137139140140140139138139136133135138138137138136135135131137137137135133134135135135135138136132129137138136137138139140134139136138139134139142140138137135134130131136137132130134130129130130130133132130128130129131131130130130128125121119132135137133135137138126131999999999999999999999999999999999999999999999125118123126129122124117116118117115114119119120119118120117116112115114117118121117128132132132120122123128132131127127127134131130131120119125133122134135134124128129132134134130131126127127125128128125124125124123120121121123124124120125123126127127125124124121120124124125127126125133134133132132130128123126123128123122128127121120123123122122122124119119121120121121127124125121119117118121116119119118118115110112114118119116111114111109114116113116114113112113108107110108110109105104103106105105104107105103104103103102100 93 95100 99 97 96100 98 99101 90 92 99 93 92 92 93 93 92 93 93 81 88 89 91 88 88 85 89 88 85 86 88 88 90 91 89 85 86 82 88 92 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171171167166168165165165174999999999999999999999999999999999999999999117111119113108107108109106106111116118120125133134130135138141141138140139147146148143142147146145143141141140140138136142134134137138136139137133138136136135129132134137137139136135135132134137136134133136135137138137138139128138140138139132139139134137139139140142137137140136138136134133134134136133132135133131133127129130133132133133130129129129130130128130128131125134130129130131133131119127999999999999999999999999999999999999999999117126124125128125127123123120120117119117122119123122122123122121121122123127126128129128134128130135135132133133131134131127123126128128129127126134133134133133134127129135129129128134132128129127129130128125125122122124121121122123125124125123126126123125125123121122121122124123121125128137135135134128128126124123129123123122126122120123123122119122120122118121117118122126124122124121116117115112121119117122117117103108111119120114111113114114115117115115114108105104110110106108107104105105106103100101101101 99 98 98 99103102100 97 97 98100 97 97 97 94 96 96 92 98 99 94 97 97 94 95 96 97 91 91 90 94 88 88 89 79 89 87 86 88 95 92 99 95 96 94104115 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170170169171171171166170174179999999999999999999999999999999999999999118112120116111110110110103103108110120119123120126134132139139141143146142145144147143143145147144143143141145143142135134139136131139139140136132138138137137136139135136138136134134136135134135134134136136134135136137134134139138138140139139141134137139134136140143136138137138141140138134132133133131132131129125126127128127126130128126126124126128125126127130128125122122128128128127130128128127999999999999999999999999999999999999123124125124126123127128125130127126123118119114122127127123120122126123125125122128130131133131131134136131129132128135131134133129126126130129123120122134132128122133134124125132121124124132115131130129129130126126127125125125123123124124125123124123124125126126126127120128121123122123124127126127125123124127128128125122121118118122122126122121121118119125121122127120117122120121123118121120116116114117117118118120119111109110116121118114114113111116120114113114112112110110110113111109107107107106104105103105102103 99 99 99102108104101 98 99 97 95 95100101 96 99 95 94 97 97 97 95 96 95 95 99 94 93 92 93 89 87 87 83 84 90 92 87 90100 95 97 91 89 96 71 78 84 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175171173174173174168168170175178177176999999999999999999999999999999999999999999109108108111109108105108109117115113118123129139143138137139144144143138145142140142140140142143141142144143139137138137135139139137137135134136135137135138135135137137136135137137135134135135132132136136134133133132139140133140139143141138138134136137136138139134133135138134133129130130131130129126127123124125126126125127126120122123125121121120125124125126123126129130129129129129129127999999999999999999999999999999131128127127128127129129129130127131128127121123121121121126125123117121123123120125127130132133134133128130132129127127130132131128130129134134132132128129131133132127128133134132132133132120121128127130130119127125123121126125125126126125126125125124123122126126126127127129127127120128127129129129130128130130132131127128124122120120125124123121121122122122121118122122120118122123119119122118121120118116117118120116123121123119123115114109113114112115111112114113114113112113117113111113110109107108106107107105108109107104103 99103103101103102 99 99 98 97 97 99102103 98 96 97101 98 99101 96 97 97 98 96 97 90 91 91 88 87 84 85 91 86 84 85 87 89103 81 83 89 78 78 80 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175175176175177172171172178179179177999999999999999999999999999999999999999112108108109109106115101107103101106109115119122123135136137139139139139140143139141142141139142141140142143142141141141137136139138138135137140140137137136137137137137138137135135136136132134131132132134132133133135133137139139137135134137142137128128132131129133133132134133132134128130128128126126126126124122124123121123122120117118127120117116120123121122124123127130130128127125128128131999999999999999999999999999120122111120124130127130131130130131131124126125121125125122132133133130123121125130124132130132132132132132132131131125129131133133131124129131127124127131128131126130128120135135134133131128121127125123125124130127128129127126120122128122120126126124126126126126128127125127127127125126126125124127125129132128130130130128127126127125122123127123120122128123123123122119122120119120122119120119121120120118117118117117117118117113114122118108113120114112112113112111118110111118115114114113111110106109113112110112110111111109111107106102102103102101105102102101 99100104 99101 99102103101 99100101 98 99100 98 94 93 88 87 87 89 89 91 86 84 83 81 84 89 83 80 81 83 82 82 85 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176174172177175177178179177178176186179176178175999999999999999999999999999999999999999110109110111112107103105101102107107110117123122126128132134136136135136140140139139142142142139140141142142138140141139141141135139137137138137137134137137138136137136137138137133134133134134133134132132130124129131134131131137139136134136130131128129127128134132134130132132129132128128124127128122119122120123122122122121119116117119118117117118118118114117124128127129127128131127132131120999999999999999999999123124123116128127129131132131133132130127131131122121124122135135135134134120119118134129131132132128131123132125125127126131130128132125122122125124129125126133133123133132130130132132132121129129122132115113130128128128128126126124126125126125126126125120120127126124126127125126126124126124123122125126127129129126129130127129128127127123122128128130124123127122125121119123122121123118121120119118118119117118119119118118120117111117119123121123116115114114111115112111112113115111109115116116113111111110115111110114115115112112108107111103105109105104105107 98104106107104100100102104102103109110102 99 96 95 95 95 94 89 91 92 92 91 84 87 88 87 87 84 83 80 80 78 86 91 90 88 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177171174175175175178179181183182176182180178173999999999999999999999999999999999999999999110107112110108103106103102103107110112119118125128131133133134136136135136136136141133145141139140139140141139138136134135136137138134137135138136137136136136136137136137134134134133135134130129132135131133133134136135134136136135132133133128129130130128130133133134129130127127124121121123126127125126115118121115120120118118116115118115114112113115111113116127126125126121120120119116105106999999999999120121126120121125128130131131132130133130129131124126128127121125132131136135134135137126135135130125134129130131132129129129128130119121124125123128128128130130130131132134133131133132130131121135131132124123125124125129126124129118122128128121121120125124123123122125126125123124125125126123127126121124122117115121121119123125125128126124129128126124123124123126126125124122122123118118123117122122122123120127115118122118122121123112115114116118121124121118114115114116114114114113114118115113114111116113115118116116117114113115115116111111113115113109109110109107109107103105104105105 99102102101111109109114110106102103101101 99 97 94 96 95 97 96 89 86 87 84 83 88 87 93 94 88 91 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176173170174177181184182184184185177179179177183173999999999999999999999999999999999999999117113113111106100103 99101107107104110114117123127128132132133132134137137135136137139143143142139136139141139138137135138135137137136138138136136138137134135138134135136136134133132134134129127128132131129130131133133131133132130129128128128126130130130129128130133123130129126122124121124130130126124120116111121117120118115107114118113112106111110109107117125126123123119113111108105109110114999119117118121127123124124128130129131129128130128124127129131127135135135122125136128127136131133135131136124131131134131132128130132130131130132130129130127130131131131132131131133133132132132130130131134129127130123131130116122119115130127127128123122122129129130129125124124125127127129126124126121122121118117111111117112109120119123122123121125124126124122122124120122124123119119118119119119117115122122123118117119124121122121120114113117119120119121123125121123115116116119115113115118118115116112118107112114118118119113115112120121114114117112118117118121116102107111105114112114109107105100104108 94112115105113107110116106111104102107100 99 97102100 94 97 96 89 93 92 99 99 94 88 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175176177182185182183183187186184180174182183181999999999999999999999999999999999999999999116116111106101102101101101103101103107113121124128129130129132134132133136136138137138142139138136137138136137140139137138139138136134136136138140138138136136134134133133135134132132134133130129132129130131134127129132132133133133130127129124130130130129129131129129133128126126122122128126127128127120124120115115116113117117113109115108111112110105106 97108115117117120114106106104104105108109116117115116120123121125125126129132131126124126129128125125129131134134134134128127128135135135135130137135134133132133133133133132131125130129129123132132125127127133131130131133130130129129130130129131128120130130129131131131130115130128129129128128130129128129131129126129124123122130128126124124112117119117114119120117117115117122126124121119121122122121119125124123123120120120120121124121119124123118118121121122123122124122120120117118121121119124122124124121120121116119113116113113116116116114113115115113115121121111107121120121119114117121115109124124123121124103112103108120117110109111111112109101 96101117113116118120119118117114114104105105101101101104104 97 98 98101100 98 96103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174175173176178179178178183182182180177181188186999999999999999999999999999999999999999999999114112115105102 99100101102100103105108112119124126127130130129132134132127138133136136138137134136136138137139139138137139139139137136135133134137133138137132133136134133134132133133134133129131132128134130128128130132133131134132130130129128128126127126129128127131131131126124121126124126127125125125124120118114115111119114109109111112109109112110110114999111110112115109100101100112106113120115102104109111115123124126126124130132124123128127125128130130131131133123124128132125136136135136137136136135136121127130130131132129128128130122128128131130127127130125131130129129130126127129127129129129124127125125122120123129129128129120128131129129119129131130123129122123122119130129128124120125122123118120116116118120110110123126126127122126126127124123123124123122122120122120122120118123121116116122125117127126118122123122123121125127124126126128127120123122124121115111118117116117118115116116113118114116114113111111121123119117118123122122127125127124106104117107108107109104123111114114121107102102115116100117122119118113114118112109105104105106106104104106105105106103100 99105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177174172173174174175174179178176177184186185185999999999999999999999999999999999999999999999999118115112104 97100102102102104110110115118123122121127127127130131131130129130135134136136134136135135136138139140140138139139138137134134136138136138136135135137134134135134134133133132131131131130128128127131132133132133132131129130129127128127126125126126128126123127125123126125126126126124123124120121117113112116117113113111113112111109111107108109107104107106109 97 97999999999112113115120115114115118115120124127124119130125124124131128128128128128125129132126125127132134132134134135138138136138134131131134135134133132129121131130127128131125125128122122122124123125126124124126126126127122124124119121118119125121120127128126125130130126127129128120121124121126121123122123124122123117126126127127119120118124117120126123123123123124124126123127127122119120125121121122120125127126126120121124124121120121124121122129134127129126126113112117121120119120119127122119117121121110117115118113116117118113113121120119118115119104124132129130132133126132126111110125129106110112109109112114114115114114117117116123122112111113113117114114110107105104106105104106107106107105108100105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176173173174173170172170175176174175181181179180999999999999999999999999999999999999999999999999120118101102 98101104105107103108111117118119121124126125127129130130133133133131131133133132134132137141140138138138139140140138138136139140139139135138138136136134133135134133132131130131131128128129130130129130130130130130129128130128127127127127125126125123123122125125126117124126120120120120122119119118117119117118116116115114114112108112111109108110105105104999999108101999109113114123108105113115114116120123125129126125126124106122119119123122121118119125130130126123130133135134132136134133133133133137127128129133132130130130124129126124126125127120122121121126127127122120116122117115121124126126124118125124115118123128132125115124122120123129124123120122124129126124120121119120121122118117118117121117121117119121118119122115122124126127129124122119124127125125124122126128124120124120119120120120117118116117121121127130123118114106106113115119114105116121121120127120117118110111114113114118112123120118121117116120121121126128132129113115114114115111117114101105122109123120124121115109119111112113120121112112111114115116115112111111111110107106108108106110106108108109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177175174174175173170172173175179177179184185180179999999999999999999999999999999999999999999999999115116116106104105103105109110111113117118119123123124126127126127129128131131133134133131134133134135136135139140141139139138138136137137139138137135134137135135135132134132132131130130131130129129130130131132130131129128129129128126126127126127127127126122120119120120124119121121118120120120116119117116111115116118118116114112112109110112114112109106102103101999999999107109101106106114105114107111117118121121122124125121119131124120119118122120122119120122121128129127124129132131128135135132132131129132134131135130131130127130132130131128124125126121122131127123123121119119119117120117119123121123123117119123112122125132130133127135134128120126128130124122125125123115121123119118117116119117117115119118118121116118119117119117117120118119126127122124123126121122126126128129129129117126122123115119128118118123134119116118121118114115113112114115120115109109121121120119120120115115114112104111119115120118117118119118117122122126126127126127112108114114116121114104103122122124123117124122123119104111111120117114109114117115115119116114112113111108109109110107109110110111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176174175175174172172173179180180181188187184180999999999999999999999999999999999999999999999999117116115106104104105107111112115118116115117123124124124124124125126130130129134136134131131131134135134137139138138139138134137136136137138137135136135135133133132131131130132131130130132131132131130132131130131130130130129128127125126124125124126126124119115118121119122125119118120120122122121119115114114115114115114115112112109107109109108104103 96 96 91 93999999 98106107111111111114106112111117120123124122120121128126124122120117118120117119118113114127121126131130129126131130130133132134130130132135138136137133131127131133133132132128133130132126116112126121119118125126123116115123124117114122122123130127121101128130132130130123113120125126124126124125122120126117119122121119129125114120123120119112125119123120117118120118118123123122124127127125124127127127122120126131129126124127126118118124122116105119121123126124120127118120119121117125125108108107105113111112111116115118121103103107119123122121122120119118116120116126126126128125123129111117122113115104105114109109114117117116121104121119111122119114114124109110115115116115110112110110111110113112115112104109118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171170175173173175180178181183179183184186197182176999999999999999999999999999999999999999999999999115114107105107106110113115116115118118119123124121122123125126130128127129135134134131131132132137135140138136139139137135134137136136136136136135133136133134132130132131132131130130131133132131131133129129129128129130129128126125122122122123122124123123117117118118124123118121120120119121121118116115113111112112114117112111109109107109100 98 95 93 96999999999999110106106108108109115113113113119124121122120122126124122119121122118116111112112117111122125123121127127125129130130130137137135134135136136137138139137134132130133135133136136126134135131119122123119124123123124116121120130129128130128129127127128124127134137136129122122125125122129123125121122127127123123123119116126129126130131124124123121123116116116117121119120121122122123123122121124124127123126128124127129127118127125127124124127120118121121126124121126121124126118115123125132 96106117119117116113113113115115123126122116119125123122121134125117127131131124129118121122122125128124121122120123124120122122119120121121105116115130127125124122120119122121112101120117119117120120116116117118114113110106110125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169170175174176174181181182183182184182182187188175999999999999999999999999999999999999999999999999117116115111114109111115119116119119122119121122121121122125126127125125129134131134134132131135137139139138136137139138135135135137136135136135136134134135134132131132131131130131130133133130131133131130129130130127127125125125123121121120114119120118120123121122125122121112113112112112111114107114112110111113112112115111109107108106105 99999999999999999999999111110104104107110112110116112111112118118120115121119125123125124122117115122122108121104124123123123125129129128129131133136139139138137136136136125138137138134135134138138133136133134127130130123132127126126122126131135135130131127127128131132132122120125129131128128126127121122124125128125126126124121121120127126127126131126130126126125125123119117119120122123120124130123119121123124122125125123125124114115118126120117120126128123121124125122124119121120127118113118125123125132122114123125116115118121118121116114113110117118118115117129131129118123121124125122123122119120123125124126128123122120122125122124124118119117120123122121128128127118119121119108125124121121120121119118121116116113113113112111110101126 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169170172171174175184183182182183183183187187185174999999999999999999999999999999999999999999999999999112115113114109112116118119119121123122123122123122122128123126124128131134131133132134137132139141139139138136135137135135133135136135135137137138135135134133132132132132132131131133132129129128130131129129127124126124121124122121120117118118115117117122121123120118116116110111112110107114109107101101103105105107106106108104102100 99 98103999999999102105109109112106110110106108110112107114119122123117115115120125122125125121120117123113118116119124121119121123129130131129129131132134135138138135136135137137136135134134135137136136138135135129126120122127129132128124127132137133128129130128132131121128124125129132128133128125129114125126122125116124131124127114112116117129124125123121127124122127122120117121121126123120116124125127124123124123122119121124120118113116129129133128128123122117118123122117115125131102112111108116125127132131115125128119117115116117119109114108115112116116114114119125130122120133125122127124122125123120126125128127125123121123124124121121124121120119124123119124124124119120120116125124121121122114112119120120115117118119110115109108 99129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177170172178176173173177181184181182179180182182999999999999999999999999999999999999999999999999999120115119120119114115118119122126122126123127129128125124123125129127132133135134133136138134137139137136136134135137137134135134136135136137136136135133131130130131130132130129131130131129129127127127128128125125127125123121121120120117118118118112114119119115115117119118112114110108104107104104104104104102102104105106108104100102100106112999104 99104108110113107105110109113111114115117121122117120123124125118126124124127127123117106125119117126123124124120123126130130131131133132135136136136135138138139139139137138139141132133139137132129126125118119135130131132129124133129123126124128127130126127125122121130112106126119115122121131120126129128128131108122124119121128127128128125123124125126123125121127129124126126122118119123126126122120118117122113126122122118117124122117130136128128128114123123133119124130126128113104106108109108120122126125119117115119116113109107116115105117116120111114115119121122120121117121124122121124124121122125128127122121121123124124122122119120119117125124119122123123123119121122123121118120119122122122114116120113122120114115118114128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172177178176178172169174175178181181176177178178173999999999999999999999999999999999999999999999999999999120122119119116116120119121125128132128131131128130133124127131133137134137137136138134136137139137140137137135139136138133136137138138136134136134136130129130129133132135135132132131130130129128127127127127129126127126124124117118113115117117118116116114111120120124118113111110110103108104100106104102 99 94 98107106102 99 95 97101104109112106104103103107108109111110113117117115118119120121124122125125125129129129128125124119119120122118115121115116118122124124124125128129130134136134134133129136139139138132135141133139134134133131137124120121129129128134128128128128130122125119125123134130128129118117121126124106119126125120125127123127127127126117127125130122121125127129131128123126126125124124121123128127127123124123120122124123122 97120120122123124123122122112124121124123133134133132130127128130132130142126127127134135118117110118119124118118119117115105112108113127119116119122119124115118118118118120118118116119123119117119120124122119117114117121124118118117121118117122122119119114122123121116115121121122120120114115120119118117122121113115117117117117111129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180167170182181177180176171181183184184185175176175167999999999999999999999999999999999999999999999999999999999122124118120115117118123124128131126130129126131128125122131131134138137136139140139139136137135135136137134137134135136136138138136134134135135135131133128129133133130129130129129130128126120123121120123125127126123117121119118118119116113117117111114114112109111112106104104101102100 95 91 90 96 90 94 92 93108100103102103101105 92 94 95 93 98108106111110110114111112117121121118123119122123123124126128132131132127119118125123122121123122121120120122126127127127125127128129130135133130133131135138133137133142133138134135139130130124129123133131129128135129133129127125120123124126121123133127122123125126126126126123124128130131135127123125126124126125137124125128128126128129128123119122124124122126123127125113113116125122120125121121122121121121125117116121122123123125124114121122134133132131131130133139141127136124128124128129130131122114121116119114118121122114114115121116115111118118120126119122121104115113112113114118117113115117115116116111114115116120114115117116113121119119117115115116118118114123123121120113117112117118120123120118117117117117117123114127 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164166177183183185185175179183182186186185177176173999999999999999999999999999999999999999999999999999999999123120117115114118118122124128129130128124124126128130125136134136135135133132135141141139135137135136136136135134136137139137137138135134135134133130130131131130127130129123121127126123121118117116115116116122123127120118119118117118115113112111111111106102107106103103103102 98 99 98 92 95 91 88 86 78 87 82999 99103108111104112 96 85 85 91 96102106109118114113117114118118119117123124123124124125124127129123130123126125123122122123120122125123124125122122123127128130129127129128131130131132133131134135131135134144142139137135130129127130127126130128131132122120118125125125132136126137133118118124127120122122122124126127129130131132129124127124124124123120123128126128122127125128126124122120122123127125124126122123124119120122126126122124121123124118124123121124125118122114114128112111125121123132113132125122124124125121121121129130131132124122119118120121122120120116112105108105111114111126124118122119118118124118121119112111114109111115121122121114119116115117119117115126123121119118117120119118118116121119114113119113118118117117111115115116117117120121107109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165166178182182183182179177181186182184185185177173999999999999999999999999999999999999999999999999999999999999116114115112121123124122128123129127125126124128129128132134136136134133131139138141135134135136135136135136137134132134133135136135137134130130126130128128129130129127125123124121117116114116116111112115121123122121118117115115115112112113114112105100104101106103101104 98 99 94 86 88 88 92 88 88 83 82 79 95 96 97 96103100111105 91 93 92 93 98104116112114111116113118118118117120122118121123125126127128128127130131130124124122124124123124122124125125126125127130127129127130129129129127127128126135136136138135138132131130130131129139129135135131128126134134115123122123124121123126121128123127119129122128121122127125130137139129125124129121129126126130125124126124124130125124122124126123118118119123127129126121126127120123123127125127119119123119122123124127122123124125115121120120115114120122118123136126125128127116120121118119120119121112112114116115123112110118115112110106108110108108120124112120123121125123117124115118115112115116116115118118123120115115119120113121121122114115117120119120119118117121116114116115115118119119118118117117120123120123122109117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166166176178184178174176175177182182181180191176171999999999999999999999999999999999999999999999999999999999999105111116115116121121122117122122125125124125124126126126130131134134134133131139140138136135135134134134133133132136130135135136135134136134127130127128126128127128127130128120115118114114112111116110114119117118118116117115114112111110107113110108108101107107106 98102 95 92 91 87 86 95 86 92 92 66 75 75 90 80 75 71999107101 89 90 95100 96102105111112111117118120119118118118120121120122123123127127126127126128130131131131130128124125126125127129129131128128129128129129127131129128124125128128134130135139137137137140127126130134128130131134130131133124138119125124125118126130129132130123125127125123123122125124115124132134131130123127130128127125127124120119121127128126121121123125123123126120120126132128123131126126121123124125122117122120122123119119123123123120121129120116116119121118113115130131113125113112108104109110114115115111108112111110112110109110111112108112110108106102104115105103101101114121119120121121111119114113113110109115106107107110113114118115117121123118120125121120119120125122117115112109108112117118119119113117122121119119119122120112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162163169173180179175171172176179172182179176177999999999999999999999999999999999999999999999999999999999999999111102107112118121118118118119116118123125123125125125125128133137134134137132129135137137136132133134135131132130129130135130127133132131130134130128127126125127126124129120118116118119114110114116113116118118114116113115114113111108107110112109111106104104107103102101 99 96 96 85 90 88 93 90 78 86 80 79 83 79 75999 88 98104 86 96101 93 96106112110116114113122118120120120121117120123123124125123125122127128130132131130129130129128126128129130132131130130128129131136130129131127130129130126131131128135135138134131133131133129128129128129141130129128139132132140129132133129129128127133130128125123126125125121124125129130128130131128124128129128126123131124123124120127131125125126134127132129130120122125133134122125126124122121121122115114111125126127123121122122121123125123120132132130115115119126122122115110111109118109107117110109113112103102105111115114112112119124117110118120116112110110111119102116115115109117113115114110102122123124127113102106114115117110109118120112116117122121117113118116115115121117115114113120117114113114110113116118113119114109132 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157162162164168169183177178177181178187181180177177999999999999999999999999999999999999999999999999999999999999999999101111111110114114118117112112115119121123122129126127129131137133131135130131133133138137132133130132131134133128128130129127131132131130130130128126126125125126124124118116114115115113108112112116117119117115110110110113111109105104109113109109106106104102103105105100 90 94 85 89 84 74 83 73 89 86 88 88 83 87999 83 90 90 88 95 96103100107112117118120119116123119120120119119118120123123124123121123122124125129130131129130122126130129128129128131131132131131131129131132133136134128132129130132134134140139141129133135132133130128132134133128127129126128126127123130130128132130132128132127128123127127132135134140134133139136126130127128130129132126127129127123123120126126118125126126127127124120126120121119121122121121121119125124117115111123122122125119118123123123124124115128129129126116121118119118112113123123122116109107104108119112108121120125111123122107117114112116117115117116119129113114123119120120118110117108102117125119114109116106113111113111117107106106113113113117125125109110114118112113117119111119121114115118116118115113119115115110103105130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165159160163166165162180182180181178177187179172176173999999999999999999999999999999999151147146144139142137132999999999112112109105106110116115115112115119119124124125126126132134135134131132133131133136136134135134134132131131133131131132130130132132130130132130129127128127126126124123123120116114115114113113117116117118118116114111111113114114111110106108109108106106 97101101 97 96 99 89 90 81 74 72 79 76 78 91 85 92 94 92100102102 79 90 91101 94105110113116118120121117119121117120119114118121123124124123124123122122118123126130130131127127127125131129128129130133133134135134131131132136134129131131130132132133133135140127136132126133135143137136140127132135131131135128129134128137132129134129129129127128131132137132132134133133124125127127128125124125124126125125127124125126122124123126121118122123126123125122125126124125125121118121124121122120123118113123121119120122125120123118128119117117117124116121124116119116118134134124122119109120115117111116124119123122125113100114118123122117116115115109107112117121113111118120114112120124114123116123104116103109109119124126122118110110118120128129128117109115105117119116115118119119114115112113114116114118119114114117119136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158159162167168165180178171174174185186178183181179999999999999999999999999999167165163152148147150148147145140138999999113109105105108108107112110117117121125126128129131134137133132128135127131130128130134134134135133131131132131130132132130133133128132129127127125126126125124125126119122116115116113110113114114115115115115116116110108112110110105102103 93101106100100 99 99 99 94 98 93 84 80 82 74 77 71 78 92 86 83 92999105102102 80 88 92100 94106110114116120122118121120118124118116116120122124122125126125125121125124124123125124129128123122121128126128130130131131133134135136135134134135133131130130132133134126133130135139137139142130140132139135130135136131129127128129129136137133131133131129134132135139137133130134131132130128126123124124126128125127126126124126124125126124123123126120118123122127123123124122120127125116123116117120125124121125123123129128122122124118123122128120122125117127126124136140136111109136128123120123128131126122119124121120121120120123113114115116116116116117118119113107106125117129122111114121115113106 98116114124116117120121117113117119120116123122127118117125123120119124116118115115118116121118116115115114111117118118118115114117114134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170160161159170165166177173169169176180175175176180173999999999999999999999999161159164161160164154153148147145146144133124114109103101105107112108114116117120125129129127130133131137133133128129133133133130131131130135135133133129129131131131128133134133135130130128129128125125124125125118121119118117117117114112114115117119118115114110105111110103 99 99 92 94 97 97100 96 96 97 97 92 92 87 78 84 76 71 84104 90 91 97 98 73 82 80 81 68 81 84 89 95 98104110113115115121124121120121123118118121113123123122124123117115120125125124123119123127132126128127129129125130129130130133133133135136136132129133134129129130130131133127136134132132136125131128129130128131130130132125129129136132130128131132126127130135128130131130128133134131129129127127125125124125124123123122126127125125127126124124124125123124121122118122119121127122123124122121123121121123122123131124126129123125124121119122122126128133133141142127127125139131132127123123120112126126116128123118118114126127114120123118116118115111116131120117116117117121132140120117120118109121113116116115111115115112116117117124113121119122123121119124122126131128122121124125116119123121119117115115113113116119120119116122122121120128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165157155168167170173167168183176182175180176178999999999999999999999999999999146161162159147152152148147144140143130130117109110109104109112113115120121125127127129130132134140136136134133131131131134131132132131135137135134132130134133130133132133133136131128131133130128127128127125123118117121120122120120118118116117118117117114112109107104103 97100 93 97 89 94100 93 96 93 97 96 93 87 84 82 77 70 73 77116112 98103105103 80 84 74 85 89 96108105111111118120116122123126121119116117117123123122120119123123123125123124123123122123126128129128128129129126127126127127125126133131133135135134132130126129127117113132134126135131134125123126133131135137136136133131128130133122132131130133127128127127128129130131128141132128130135130138129129126124125124122123127128125128127128126124124123126128126125125126126128125121129128126114119126122125122122123122122122122117110113125118138124124126123123137138129137136123136136132126129130126124120114120104128125129116128111112115122115115113120120120118116109119125118116122118127124126108111123121121115113116113111115115120115129128128117116124127123112113120115121125120124126122124123116117117117118119118120121124122122123126127123137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162165162161154154160161163168180181171171179179999999999999999999999999999999147144167159159155152148160147145134135141150122125999109110111108114116122122125126126128132133140141135135136134135137133134133134134134134136134134132134134134136129134135134134130128127131129127126127124123122125120126121126123119117115116116116115114110108101105106103 97105105 95 96 96 97 97 96 92 87 89 87 84 83 85 77 72 71 80108999 68 78 78 75 73 80 88 80 95 96102109115118118122112121123118120114120117123120125123121113122119122121122124123122122118124122128130131133126131131128127129129128132132131134132133132132128128130112127128131133137133135131131131132135137134133133134130129131133130129133130131127129128128123129131130134128132129129129124125129128129122121124126123126126126127125126126124126127117130129124114128127127126129133126130123129129128128125123129128121121127118119120119136137134137128124134136133130126139130126122134119126135127114122107118120132124120111115117112106111116115106117121113112128121126126123109111118136124104109113130129123119114115114118122118125129123120125127129115119120120122120123123125122121122120121121121120119116117118121123121123123123125125109126122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162164166159158162161164169167169169169170171179173999999999999999999999999999999155150162158156156155152148148148140150152133121127116112110106106112115115118124127129133137134134132134134133131135134132132134130133133134135136136136136133135133128131132134132132131131127127125124123122124121119122123123124124118116115114111112109108107108106109108105 98 99 96 94 90 92 93 96 91 90 88 93 87 88 84 82 79 68 70 76118 64 65 73 79 78 81 76 78 86 91 99112104117120118121120121116113114121122121121120122115115122122118120122127123121123119115118118122125131132131134132131130129130131131126130133130129132132130129128132125121128143138129125129134132134140134131132133132129132135131134135135130140141139137135135133130128127128129129128126129125128128132125126124123121123125125123125129130127128131123131121126123129125117126129130120125127122128127122119121128118119124124126118118127125125125131126121122126122133125129134119120123136130133124109116122118116116127124112116117108110115121116115114121119117126109118124127120106127116117116114111116114113112116114109115125125119126118108120125115119116114115113112114123123114118120120124125123124120125119118117119120119124125126126118113122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162159157159163161165166169171171169170170171184179999999999999999999999999999156158155158160156156154152150149148141149154128133122121115120109111113115117119127131133133136137137138136137134129134134134133133136134134134136137136136136136134133132130130132132131129128128126123121120119119117120119122121120114116115114109105106106104104107109110104103106101 98 96 91 94 94 92 90 88 85 87 89 92 81 77 77 87 70105104 78 70 73 77 74 76 80 82 90 95107108100116119118123115115114116119117117117116121115121122119121114120122114122121122121120121117121122130130130132132132135133133131129128130133129131127129129124122127116131121131134132126127135136134136131135131132133131132134134131132132135135136140136133135133132128125127127128127130131127126126126127124120123126125124130129129127124124128125127126119122122129131123129128128130125127123127124124126126128126126125126126127126126127127137123125130135126136116128126136110120110131131122111108108100111113121118117117123109110110122118114117114118106102120113114124129117114125121106115114105112111111119116118115104111119112119121115122120120124121117 99103117120125125118118122120123116116120123126120122120121120121122122125123126125130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158151152157159166168168171181180169170173176177178175999999999999999999999999154154154156157159159159154151149150148147149134144143132127127119122120120123125127129130133135139138138136135137134132134134136133132134134134137137136134132134134135132131129130131130128125125122120119116115117117115118114116116114115116114109110106106110105104102101 99101102101 95 97 93 97102 87 88 83 87 89 97 90 86 85 84 85 74 82 81 78 80 78 79 76 77 82 69 81 94101104112113113112121120113113117117114114119117119119118121121120120118121122122124123124125122121123127125129130130132133134134129130126127127127128129126130128134132115117135136139134136130132135131135136130128134136132132133134131131139138135135128134132130130132130131132127132127125127128128127124126126125123130129128129124123124122127125124118123122120111109124125131132131131128124126127121123125126127125126132127127126129128127123133126126127126126120115136127131120111111112119112114124114114 96110116115118108117101112112114116113113122123123119120118126106124118119115118125119117108111115108114119121119118117121119118122124109115120126127123125113118112118119126121122122117118127121125121115120121119122123126123121114120123118124 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155154158161165174178181177175172174174172175177174176175999999999999999999149153162153156158159158162149151155157158154152142141142133134131129129124123127128135134136135135138137133137135138134135136135136139136135137136133136135137136135134133132132122128129131126123123120121116113117110122118117113115114112114114112106103101101103104100 96 97 99106 99 96 93 97 97 94 81 87 85 80 87 91 88 77 80 90 89 85 70 82 86 77 79 75 77 82 77 87 76 81 91106103110110111118118118115115117113109111118115115119117120122122121119120122122124124124124125125126127128128130127128131131127126130131127132132129123126132137139129127129132136139139137129133134132135133131134133134130132136134136132137138138138128127134134135134132133134129128127138131132130131129127129130131130125126126122115129125124122122118120125123130132128130122126129129129130128127124126125126128130124129121127127129129134122117127129126125123122115143120113112112112115111110113118108113111120121113118117107113114110114117113115103124109117106118117113122121123122120119111122119118116114122117116112120116117124127112111115118112125122128122126121128123121120126120126120118111114122123118117119125127127121121122115115118117132 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168166161163168171179183180179185187187181187186176177181181999999999999999999159161156157158162160160162162156158159156161161150147151139137131133131128129128131135138138136136138139141137136139139138140139140142141137136138136135137138134133135130126130130129129128126122121117114117115116124121117112112114113113111114111105104102 98100 99 98 95 92 89 93 98 99 93 92 93100 86 85 77 87 89 87 89 92 80 88 89 82 81 84 85 86 78 77 84 78 80 74 77 83 91100 99 99113106118116115111109110111115118117119116118119118120124122122122121122120120122120122124126126124127126126125125127128131129126128128130129121120127133133129135132133129131139140137129130129131133132135134133134134135135137139139140135136131135134130136132133132134133128133137129130128131123127128130127127120124122125126124124126120131132127126121130131132129123131130129134132124127125129120129130132132131127131129131130127121119131137139125124135126115113113112112115115112114113123120113111114118113117124116102116114117121116124113118121117118120126126120121128130124120118117105119119117118122121118126120119126119115112114119111123123121121120122124121121125117116119119116114114122124118115117118131123125114114115120120121140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163162163165166168181185187184188186182191181183189181184186187188180999999999999149161164165155157156156156156154153155161161158159159159143141136137137133134132132133134134137139138138136138139140142145143143142147146143141140136141139137138133131135131132130130129129128124123120118124121118118125123114113113120114110114112107103102 97 96 96 97 96 95 87 82 89 89 93 94 96 92 94 97 84 83 81 85 88 99 76 85 87 86 88 88 85 89 84 85 86 88 89 90 86 87 91 97101 97 98106109111111106106110109111113116112116118118117118121120121123117121122120122119118120119123124121125126126123130131135132131125127126119126127130132135139135137142138137138140136134134135130137133133133135135137135135136134138136138140142144130136138136131136137132130139134128131129126126126124121123123123130124127127121126129128130126132133129129131127125127128130129127128124122128125120129130131126134127131130129133132133130131130130129118116124136116126114114115114124118123124109122136119123125117121119126126120116117117120126115122119121120122122121120128130127126122122122120109116118119119120118125115120122122118119120112123117118122119115116112116118122120115121128123117114117122121122124119119116116113117118132120123132 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999158159162163166173175176181182184185186186191185178181186179178183184185186999999999999153160163163158148157158158157158159157159161160152155143138136139140137135140140132133138134136138138138138139139141142144143143143148145144142141144140137137138137137133133135134131129128129124123119119117123126123122115114116115117117114113110110102 93100 90 94 97 90 96 95101101 88 87 85 93 97100 64 84 81 79 67 70103 90 84 83 83 85 86 77 85 81 83 84 89 87 89 85 85 92100102101103109108115107109107110113116115116117116118116117119120122121121124124120120121120120118120122124124126127128121123130132129125127127125121129122125137129134138136138135128138138134133133134138133131134130133134138140135141137135134136138145138136137137139131137141133133133133130131129124127129125128130128126121125122128123124131128131129129128130131134122125130132133129125127123122128128129129130128130150147128131129129128126127130131123120119123127116138127117114119135126138136121127121136128118114119120119123121128119116131122124121118119121122124126129121129130126124127127123117115121121122123112114113118121121120117119119118121121121124123124122124114118121119115122128129127125115120122124125121117118120122124135131136137136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172163165165166172174176178181183184187187184183186192189186180179180177177184999999999999156157161155163158154156159156157159151150160159156155148146139144140140140145143140140135133138137137139139139141141142146143145143145146146141141145144140136137135135136133133132130132131130129127126123122120124120122119117120120120115114111115111108105103 99 94 97106100 90 82 80 83 79 75101 99 96 85 87 84 90 72 82 92 98 89 81 81 87 86 88 83 88 91 85 95 94 94 91 88 89 93 97101106110110113109111109114115108116118116111117116115118121119121120124122121120120121121122120121122125121124129120129125127127130132123126125128126135129126132129131134131134135137138134128133134131135134137135137133140140137142139134137138139137135137140137135137140139137135135134131129124132120124123131130127122126122126123126134130128132133123126129127124131129129129129129127124126123130129131134129130133129129131131131132125132132130133126126122123127131119115117116128119123124118131132127125120132123123128122123124118125126121117117118124122129133131129128130131134126125122122121122121127129123119115109121120125123117114115121121122122123123123126127122126118115112121123125129127124123124131129125125121127123124127132129139144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176165177171166166171173175179180183185189188188188189185180181181179180177177182999999999999159160162162160159155150158157159162155154148163163160146146145150150148146145145145141136135137137140140142141141141143147146145143151144144143141149146139137137135132135132132133132134131130131130126126123122118120123123121122122118117116113113105102108107 99 96 95 92 89 92 84 85 80 79 81 86 84 83 77 93 80 83 85 97 91 95100101 92100 98 93 90 94 96 85 92 95105108105100 97107107111107114115112111114113115115109111113116118117118118120118118117118120119123119119118121120120123120124124119126129126130133130131132130127125129133132132130133134138137137134135137133132134140134137138133135137139141137138141139137142139138140142140138136137135134139137136134136134132128131127127125128128128124125124127129128126123127127135133131133131130128129126131130128127132131131131128138133132131128128132130129128126129124132132130124128123120115118116124119116121133118115118123124132110108124125127127135127123121130128116111110118125130131130129128130133133133134132120120122127126122123114119109120120112106112116115117119124121122122123124124126128131128120120108116118122127130129127127126127127123128121129132130139134142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171173174177176177170170175176178181183189190189187187191193193188182182183186187192999999999999999161159156154156154152151152154154160161142146155152149151146153151149150147147145144141136135136137139139138143144144144146148146144143144143143145146147143141135133131132134134135131130129124126128128129129122123123125125127124123122121114115113112104103103102 98 95 98 91 98 88 86 82 65 68 83 83 84 88 83 89 77 90 97 95 92 95 95 97 93 94 96 99 95 97100 99100100107109103108104100108115115114113114110115119117107118117117118115115117117114114118114113118121120108115118119123124120122121124127128129130133131132131129126124128133126136136132131131134135132139136133135134135133136138136137140140135136136137136137139138140142140144140138139140135138135136137136135136135132131129129129131127126129132130134136135128129131140135135132135130130122122127131135136135130131129128135133131130130130129131131129129129127125126131129133124124115126121125121122123122125120120122122126126126122115128128122137126131130125121121121124127130133127131130134127136136137136127125124132131130119113114120127113108103111114115116130124125112122121124121126128129130121123124119120120123130132130124126125125123131130123129131132129144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168171171171167167170172175178181190192191192192188187188190187185182182187187190180999999999999999160157156154153148154154152146153149159147153155147146151150150152151148149147146145142141135137137137139141144145146147146146147144144145141139143146144143143140136132132134132133131131130129127128129124126126127128127126127119120121120118117112116103101104102 99100101 89 89 88 75 75 74 68 71 77 87 73 79 84104 91 79 98101103104102 98 99 94100 99101101106103102110108108109109105111111110112111112113117115118111112118114115112115114114118116122116120120119121120115121124124124123119121123125128131133135132134131132129128133133126131129132131131131137131137138136138133134136137137138140140134139141138142146137139135142139142142141138140140136131136137134131136138129133132131132133130131131127128127127138134132132134136135136133138132129133130130134136136132132132132132136130131135130133133131133128133131131139128131129125126129129125124121130125120122128123122130115115112121124122123121127120133135134130125123130129132127123121127131112130140137136141118126132120137126126119116120124127124125128125120119128124110134133122125124127127127127120119129125125125125132131134133130128127123124119122122125126125141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175173175174174169173178191192190191192189191190189189189190192193184187186185182999999999999999999150152156146147155155140140144155143148147150149151146150152150153153152149146146146147143142139138142143145144145148147148148146146139138144138139143144143141140136137134133132135133131130128131129129128124126122127129125121120117115121117112109114108 99100105100100103 85 83 82 74 69 68 71 73 90 82 69 73 73 78 78 87103104103 87108103104105 99102104108113111105105112111111112116102112114109107106105105108113118120117118117117118120122123119121117112119117119115118121120121117120120121125128131128126133134128132128133132128128134128136136131132132135138139141138140139140137134139142141139135143142135138142137137139141141138138141135133136136135140140129139139136133135134137136134132132133134135137139134134135134138138134137136130130127131131131134131132136137135135133136135131135133131131131132126134135134128131132133129136133126125128133121122133137135131132131124122119123126123122119119125125128130126123125126130133126120117136125129132121143138141132130131127128121125125125121126124117121123122120122125126115131135134131127126128126128128125127130128128127129133133136132127129128128125121126123128129142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173173179182180180177172171176180183189187186188190190190191188191191188188193192184184999999999999999999999147153155145155156140141141138143156149151148152149148149151151150150146145147147146146145146146143145147146150148147149147147146149139139143144143144140139136135134135135136136134128128127125125125128126126123128118124124121121117116113108111103106103100 95 92 93 89 78 78 79 73 64 67 81 79 78 75 93 91115 70 95 95 99100 89 81 89107109 92 95113113110111111113115117112111114114114112109106108109107113116113112111113115113116118125122107122119119117114116115119119117119122123121121124125118127127132130127129128129138132131134135136136136132129133135137135142143142137138137140141141143146140141139141143143139134136141145139136139134136136138129130129128135137135132133135133135133133134139137133137141138138134132136136137137133135134130131136133125127135132133133134136134132130131133135132131135136134132129131131132132132134129129129134138128128126140137133138132125126123122124125116122120124116125130132124125128133130130127134137136136136135142144129132126142126128121135124130124125127127125122117124126124117127128129124128126125126126128129126125124129130133126133132130136133137129131131121127123130130145 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174177184178176177176177179179181182183185186189189191190187188191192188196195195188187999999999999999999999999145152149153145151145141144159150147147157149149149150147149148152146150148147146145145150149148148148149153148147152145140144144142148148143142141139137135133137136134135131130129126128130132129131129118121126122127124124120123114110115111 99102100102 95 94 89 90 70 69 78 73 68 67 71 70 87 78 97 99108 90 94 98 90 87 97 91 90 94 98 99110101106112106106106117115115107115113112109108109109108113120119121120109111112117117120119125116123122122118119113118119123116121120120124124125126126124128130132132131132133134134135133138139137134133132135136137144143142146143142139139139138140146140141140142136137139138134137139137140139137141138140132130124131134137136137138140136137134133128139139141138136137138137135136136140145138136137131123128126128131130136135134135137133135134129134133131134133133134130130133135136134131130131134127147135127138143130133122129134136127119130128129126128126122124126120132130120120128135138130122131133133134132131130128131125119120119111129127127127125123126125123124123127123120127125129129125125121127127129130128127135133133130122127136137137137137124131128128130132131137144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174173179180184177178178184182184184186187186189190192193193193194193193193194195193188186999999999999999999999999999151150147142148144154155147156149149146149153155148151153151156150148149150152154151152150150153150151150147149144145138140144146146146142139137137135132133133130133132127128125124127129133130127120122124122124124124123122120115109107104101 96 98100 94 88 82 84 69 83 95106108 88 96 83999104 85 74 75 89103 87 91 91 97 85 88103 97101110104101107110112113109108107112113113115108112114108114116111117122120113113114116115112120121127124117104120122115113111121124122123124125119120124126125131130133129131134139138134133135138137132133140135135137140139141142148140144145138142140145142141140136138137139140140141137139138144135136143138143144141138132134137136138136141136141141141132134141133134136135138138136140142141140139137139132132129129131135133136134136137138129130137125127133136135139140132131132130134132132139134135131132134137138144133131132134132126129131128133131134116116128124126133119125126122124118135130133130134130131134138136130125118117121122121118128124127128126121117118130119115127128121130134137134121135132128133136128130128128125130132133131130132135116129128131137131131130133131142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176176176173182188182182187187187186187187190191190191192193195195193192192191192193193190186999999999999999999999999999999149154155144147143156147148147148152150137146156152156157151151151149151155155156157155153154150151151146149149149148145147145140141140140139138137138134134137135131128128125126128128126125123117116122125123122119119121115113108101102104 92 93 92 94 84 78 84 91 91 75107108102 92 88 75105 74 88 75 87 92 97100 95101107107106106110107107102104107108112118118118116118119118108118117113118122122121120121120119115113121115120122125121122120120122118119114115116118122122122123124124125126132129128132134136136138138136136140137138136140139138141141140137137146146139146138140142144140142139142140140140141140143134137137144145147141148141146147140136136138133135138142135135134130131135139136138139137139143143143140142140139138138133135132131133137136136135134138130129136136134135136137131130137130129128129129133137138138137132132132132139136137132132131124126131130125126118118124124123122127131129120120131131132138126135134131128127126130129129121125122120122115120130126126129130126128117117129129130117125128132133126123128119126129125129127128124130126134132131129124123134133137137138137136135128129132 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182178184184178185186184184187186188184186187190190191192193196196196192185192193195193192190186185999999999999999999999999999999153152150147146141151148146150147149143148153152155156149151155157157156155156154155155154146153150148152150147150151149145142140140143142143142140139140137136130126125124128129127123122122116117120124129123114111117114111111107103 93 90 88 97 86 86 75 98 71 98 62 97 97106 98108114116 87 91 83 93 97 99101114114108101104108112112110111112108110113107109108117112118117118120119117121123125125119120117120117117120126116118121120119120122125127122127127121121119123120121123128126132134131129128134136138139137134136135141142141143133138142143142142145146136141145154130148147147144141141137139151141139141137137137142150152147148143146150147141143134132130135133134134138135131132138138133137140142143146141142142148137143145136136137137134133136136134136133131133140140131138137132132131124130129131134132133136140138135130134140136142135135139130131130136138140127121116117123128129121126117114123117122133132136137135130129131131133133122132132130131130124128122115116122134133128119132121124124119126127129129134132129119133127120137130129124124128130136131127133129135134135137138137137136136135127135 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187180184188176177181182188189190187187189187188188191193193192192194195191191185194194196194192192185185999999999999999999999999999999154148149149145142144148146151149142145149151154162152145153153156154155153152153152153153152155153148150151150150152150147144145141143145147145144141136136134129128126126127125117119115114115117118117121119118115113114111108105100 92 88 94 86 76 80 72 67 84 77 78 73 77999 87102 81 85107100 92 88 98 97104102 96109105106 95106101116118117114117111109109112110107109112113123122121121122125120121123122120119117124118121122122120122124121123118125125124122124122121119123125127127122125128127132137138136140137138139140137143144143140145154143150145152151153139141153148144145153148140140143138144138137143139139138141138150148151153152144145145142142135132136131135142141134135138130132133136143141143143145150145136138144143136133135137136137137136134136134138138138137140139130133135131132134132135135135139140138138140131134137137134131132130130133134130127129120120120121119133131126127117118123113121123131130119123122128129128128131130131133132134119115120127125134132135136133133129124136138131142132134139135136137136123129139130127125123115125129125133123125133134138136139138135137136137133129130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184186185182181184184183181188187188189191192193193192194194192193192192194190190189195191194193193192192999999999999999999999999999999999156148148145144145145149149150150145146145153154156157156156152153153153152149149151152151151153151148147152153151147150151149144142139144145144144143134130127127125128120124121116112114112114113117116113114115115116112109106106103 96 90 91 80 79 79 71 70 79 71 72 83999 99 93105 85 95 96103 86 83 97 98102106105105104104109105109117112114114108105107109110110115114113113120117120119123121124128123122129127124122120121121122126128124125124128125123124127122120120119121122124128123129129132133135136143145142141144144140142150140142146140140150150144146141141140148149148151144145133143142142141140141142140139138142147148152151154151141144147142140139139140135136138143136143143143145141150141142142148144143139138139145145132139139139143138138137137133137138134134132137141125140135137134129135128136137138140141141140134142137135131132130131132132133129129129126123131132133137140134134130130128121119117116118120114115110114124129130130131131129127127129127128133131131133135133129131132132137133134134132131130136138140138135135129143130126121128128130139138130133134135135136134133135132134133132130 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183183185179180181178181184183182184185192194194191194190193192191191190191192189190189190189193192191194999999999999999999999999999999999999153150142144146144147155148151149151151152150150157152150148153152151151149151150151151149149152149146149149147147147146146141144143142144143144137134129124124124128122119117119116112114115111117116112115113114114113104100103106103 95 86 83 79 82 74 77 92 94 97 63 76 72 73 87 83 92 93 88 88 80 93101104103105107103107106106112113116115109117109110109110121121108113114117122118118123124126129126128126126123118124119119123126120121120120123123123126125122120124122125126127126126130127126133133138139143143140144140140138142145146150152146145147141143142144147148148148151147147144138145141142139139140145143147153153146154154151148146149152152144143141142148147148144150143142150148143148149142147143146151153140138148145144144140144143142137134138136136137139132133136141143140137136143138139138141141140140141141139139139129139131131131131130131131136135149130127143142142137135145138135135138137140140138136133127128122124120119129130130133131125130129128129130132134135131135137140135131137137131138125130135133133135137121116131139134133131126132126132137128131133134134134124122125133134124125128 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181183184186187186185184183182184183180182187189189189189192193191191191190189190189187189189193193200193999999999999999999999999999999999999999168999999148146142146147152153149155153151149149156153150145145147150149150150148149146149149151144146144148144148144145141142140141144146146143138132128123123125122116116114114112115115119107112119114119114114112111106 99 93 98 97 96 86 81 81 71 76 82 84 92100 83 82 81 84 84 76 76 79 78 83 85 95104100105102102101102107113114110112113117114112110116114114117114113116118121123121123129129130121126127123122124125124118117123119118120120119122121125125125124125125124125127131130129129129134134132141142142147142141143142147144148147148146153153145144143151146152150154154150149149145143143147146142142144146145149142146148143146149146144148145141143151138144143143144139137136141145145146146153149146147145144150148146146145155146147146145143141139138138139140139140139142141149145138144144140138142142140142142142140137136138137136133135136136135137137138144142136139136147146141139139136143143140144143142138133132129131128130115120131132132133137134133131129132126127127135141141136134135129126136132127128129139135138138125132133141144135132127130128128129135131129133133131123122133133131125122137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999191189191180184183182188185184184180182182185189190189188189192192190190190189190186189190188189189189185999999999999999999181183184999999999999999999999142145147148152150150148151150150153154152156152155156155152149151151150149151149148144141140142147142144140142144141143139140143148138140132130124118115119112113115115115110110107108109109112112112110108106107100 93103103 87 83 80 81 74 83 84 92 96101 82 83 94 81 75 86 77 83 93 85 88 95 95109101101103101105107108114107107103106105107110108112120114109108114118124124123122124123127120124124122127125123124124124127121118125120116129124128129128125127125127123129129132131134137131139133137140141140148146142148145145145143146145151147162160161152148148151152150148150145145144144152146146144142143150143150146152144151143144144144145148143143145145147144145133134136137149149148149148144143144144149152157147145145152160156146159143141140140139139139139138138141142146140142144144142143143133140142142141141144145140138143145133134140138138137143136139138143147138144145150142138142148148147149147145133131138126122119121122131131133134138135132132133136134133135136137137129124139134142131141140136138124137140136136138141132135138135133131128133133134133134137133132133136136133133134134137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189189190189189187189187192186187185188186184184184189194190192191191191191192193192187190188187188188189999999999999999999173175178179177176178180175999999143146152156150150151145150151149149157158149150151153152152148150150153152148147148147149143144145143144141142143144140142141141136135137134128119118116111112112115116114114113115111111104117109117108106 98102 94112109106102108 88 85 81 87 82 80 77 87 86 78 73 88 88 86 77 99 98 84 89 90 96100 98103103103104108115113109114114115111104107105108114108106113114120121120121123127119124121123125124126119124125124128127116124121125122132126127123127125127133130131130132131128138131136132136135140142140143145142145143145145147148145155152149149158151151155156152150150148147147144142145144142142140143142141146151153152145143141146151152146152145149145147149141137150145139143144145148147140136139150154152149148138139146154146151150151146137153153140139141138137139146145145142142136140148136133148143141140141140140136139140146140141141139147139138140139146143143145137136142142143132153152151144144150137144138129136128129131132131129128131126125138135135138136136135134135134136142142140143145128131141135144140139146137135132135138143137137131135135134132131132133125126133133136135136136136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188175186189188191193193194192188190189191191193188188192192195193192193193192193192192190186187186186189188999999999999999999172173176175176174175181181999999999150151153151152150149147152152151150151146146146143148145148149147149149149144143143144145146143140141137141143142142140140137135134132131124118122120114113113110112109105114113105106117113107109108103100107101110108105112112 94 95 87 90 89 83 86 94 93 88 84 96 96 89 91 87 94101 94 89104103104102103109110111111110115116117115113111107108108112108111115112117114126123122126123123125122124123130121125123129128128124125127127124130130132126126125123126128126131128134130129132133132138145138134140140159148145142141147145151157150149147149149153155158155153155152150148148154148154146144143151153149143143151145153143143147145147144148151139141144150151149155148149143135146146150154149145143143144139135133134145133134147146144143139142140138139150139138141148150133141140142146142143137146135133140143142139140139139140146141140147142145147143139139149141148151137140144146142136146148151150146143138140141140141139135137131133137141146133129129137139139125127135135134138129129141139141145143146145143143139141140148141149140135146142132132134134136138132134136136134132136135137138137137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184186189189188189189190191190193188191190194192193192192194194193194194192193193194192192189185185186185186186182999999999999171172175172172171172173172172178999999150156154157154152152149151152149152152149147147145147146147148144147145141142140139137141133140133140136142143139140137139135134129131129124121127124111110112111109105106111110105107105108113111111109106108105 94 80 90 93 84 83 87 94 89 91 85 89 96 98103 90 89104103101104100100 98 93108 95102103104106109108109113115118114112117116114111109111111114116117120121125127125126122122123124124126124124125126123125129125119127136138136131127129132130125123123123126126129130132137136139138145135137145140153146144139137146148151144145150154152156156157158154152154155155151151152149147144153153146153154146145152156147147141146145146146153150147144138152154154144153150141144136152149150152156150149147143138137142138143129126125146142141141140139138135140134137144151146144145141144142146142148133139145142140139139137138143142139140137145136144144144145144147143144147151151143141144143152153146147144139140142140140139140136134139140143139136133129139142135133130138137137137137137140139137141145145145143145145143145135143149145144142146146135138139139142139138138129138137137137136135135140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178188189187186188190195197192193194193193193194195194196198198193194195194196195194193189188185185185185185185181999999999999181173171168168168169172173171171999149153147148149152150151156153152151152154149149148143141145146145146145141143140140137139139137137134130135138140142141137137135132131126123122121121119119114111112107103104108110108108107108107112111108103113107 88101111 97 96 79 83 95 90 90 92 98 99102105 96 91 88108108 95103108 89 88 95 98103 99106108109109109111112115114111116109113114117119119121122117118125127123124124123122125125127127126124127126127130131132128131136137137130132135129130131137133130128127125129132139140134134136135142143144147148141141137140144155155151152155154155157162158154153159153154155154153150148151150151149153154154150148151145147145148149144143153146150148146143147149144153146143143135140149148137148144142142140138140140142144144142143152141141142140137138136137137131136152143140143149142148145145158144135139142142139142142140140152151142148146141144141138143147144147147157153148147140145156152146142144142132138150141141141149143141143144144142140141138138141134128133136138137139138139141138137139143142142140144142148146141130151148146151151145141140142140145141140142131131138135138140136137142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181190179179185182186183194193191195194195193192193194193194199196195196198196195193192187186187187187186183185186185999999999999170173170167167168169169170171170156155155146146146149149148155152149144149149150153151144144143144145149145139139141142138137137137132128132135135143146149140136134132128128122123125121117114110105105110108111103108107111116120121116116999999999108 90110106 98 97 84 93 94 93 96 99101100102103104110103 98109102107110 98103101101 96 99104109112113112114115107111111109116115115119121122119121121118124123126122117126123125125123130132132126132131128132129133137135138138136136137131129135137126134135133136135143137140137136134134148144148143144139139149150140152157155154157154156156163171157159161160155155154153152155154150154152150154155148148146152154154146156153159158145145146144146147146147148148148148148144145136142147150145138135136139139144144144144145141135144143139134131132135134132132138134143145145145151146151150151138136143143139150149155154154147143149143129142150147149147145153144151137150138147146143144144146148147146150146142155147143150154147150143143132139141141141140132137137136135136136135137139139141143142142144145146145148128139147145149147150149145139143144144144145137140143139140141141143135141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176185190184183183185190190188190190194196195192192193195196194198197198196199198195193191189189188188186184183184188185999999999164168162167168169169170168169169167159153150146146146148148150148146150148148151148149145145150144145146148144145143143143139137138135138135136136134142144139140141140132130130120120123118118117120118115111115108107118103107115115116999999999106107110 88 88 99 99 97 96 95 96 96100101110101106103106102108107105102107 96 99 98105104102103111110114115115116119119122123120117117118119122121123123125123127128127128127128126127127128129129129131136132134134132134136136138138136133134139132132131135136134135137140138134137141134142140142144141141145140140142140148142152150156155159160157172173160157159159156152156153150154149148150153147148151150147147149157148145158152152153153146147144149147146148154157155149148152156156156147149145142137144145146150146140142140145139140139144131131137132137135138130136145149144149150146144145145145144145148145149143152152145150144144138144142152147151141142149145145156149144144142142142143147144140144146147148144143131143137147146149140133133137138135141134128137136135135137134135139140142142142143145144146145148146148149152149143152150147138140144145142143142143138143141142139145137144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178171172184182175179190192191187190193191190194194197197197199199199198199199200202200199196193192190189188180179178183183180999159159157160167168171173171170168167166159154147148148147149149150149148152150150145149149147146147153150144148146145142138143141139138137138139139142141143145146143140136134133130125126119118124122124116116123119113106111109105113116999999999 99104115111 93 95 90 94101 97 96 97 97110 98 96108108106100103104100112111109100 98 96101 98100109119116115113119116116114114123124121117122123124122123120121117126135136132128129124124134131126133130130132131131130130134137137137136137129132137134134132130130133131140140139138137141143137137145145142143141139137143152149142149150153152154161155156155167156162166167162154156150156158158149152148151150149150154151145146147147153159155138146147151149151152154157158149143146158154149155144145145154144145145144145144144146144139140140134136135132131132129135134136144144145145149153146150155148148140148145135144152154153138144148146145146141151149147150139145145144138142142141141141145143146144145146145146149144143141144136150136147139141136135135137147140138135138135138139135140138139137142143143143145145148147150147150150150152153154151153151146148145141139149145147144142142142151147 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178181182174184173175180188195192190193194197193195200199199199200201199200198198202203204203202195190188187184185180181181182180174176161156167167166165167170168167166166165154155154149148150145149150148146143147148149147146145149154154147145144145145144140140141143142139141142143143144142141140134128131131130132128130118118116118124111119117111107110102112999999999999 85100101 94 96 94108109101 98 98100101 96 91 92 95100106104105103106104110110114107108109107108119117121119117117120120121118117126125124123126126123117123125130127127130130128130131125127132131130131130130129131139134134135139136133139136131136135136140137134137140130142141140138137138143144137141139139139137145138150152151140146155160156152155172157153161161154163166167161148151157155157153150149151148148151153152154154153151153153155149147151144146158154157149152154151150152156153151148144143145144144143145143146146148146145140140141137135135136137142141142138146149154154152154150148149149144149151146152146141154148146142144151143155151154149140143140143149155137133138143146145147146145146149150144146148148142141143148150135143146147141139138142135143139140141137138140138139139141145146142145144146145144145145146144146152148150151149152149149147138141144148146145149144144143151148 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178177180183185188182182195190191195193196199201194196197200198199198201201200199198201202204205205203194190188185187189187182183187179182176169165174168169168165163164166167158158159147149149154145145149152152150146144150149145145151155155147144150146143142140139136138141140136139137137140139139142139137135133132132131129125118118117115119112119119104105105999999999100 99 97104106 87103113110 92 99 99102 99 97 98 95 98 96111109110114107107111113110112116112112115116116120119122114118123110114118118121126125127127119117118124126126128130127128126128132124127124125126128132132136135133135135137138141138140142137138134134136135138148144141149138143141141144145142139137138141145145145150148148156158154151164163163152163163159156157168161163160160156153151155156152153154153154154152156153155156154154157155155152157152153144158156138151153146148151151151141143147144143145144147144141141141145147150137142144143142146144145139145148145145144142149150150150152149148148148144152134141147146146144138149140149144150142145145146141147139143156140136153152146158150147148147156149150152145145146143153153151140149148150146141141142142142137140143142134135138140146150150148149147143147149146148148149146147146149149150155153150149150143146149147146148151149147149151156 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182183182184187190193192194196195195196195204197200201203203205202205202202203203201202202203204205205203196189189189193192188185185185186184184179173168161164167164166163161160159155156153147148149155155152146152152149149151149148154153153152146142146147143143141140139139141142140141139137134136137139140141139135134136135127128122120121124118106118113107108999999 96102108106102106107101103 97101100101 98 99 99101 96106105105110108108114109110112107108113114122121120117116119118123121125120118119125125127128123127127126126127126128127128129129126131129128129129130131133134134135135134137139138139140139137134138138139134138133136138138135141155141141142140141136137139131140147146150149148150147149166159157153164168169163162156165153164165167156156159150154159156153152156157155154157155155157153153156153152156151151153161148159153147148153158157150153143141146147150143141145145146140147146134136139143141144147144145148145142146141148141139143146143147149149151146146147142141141149145147134134151150144150148151144146152150143140148146152149147152152149151158137152153153154152151152149155161157154150154148148148146143145145142142141146147146140144141147149147145143149152146148147148145148147147148152151151153152150150149153156154156157150150154151150149150156 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175183184186179181186193194193196198199199200203202202203204205204205206205202205205203206205206207207208204203202193192192195196195191195185190186186183180174174169171170170164162161162160157156149149149147147146150155152149149150147151148151153152152151149148143143142140141141141143139140139137134137138137136136134135137139133128122120124999124121131124114110109 97 90 93 99105102 98103 98 91 94 99 98107 90 98 99100107105 97110108113110114115116116115119115115114115114116112109113118117116120121118121121117123130125127125127126126128124124129132132133127128129130129131135134135137141139140140136139140140138136137135141140138142137141137140138139154147140147145147144147141145146145146150145149145147159165163172166169162162162161162163151165155166160162165165159157155152154153155154152151150152162159159157151159159159163161163158152157158158157152155155155156149148146144141139143143138137138138142143140146144149148147148150146141150140150150146147147152145147139143143150148143146142144143143138137145148150154145152151152155144150150151148149156139153145157154148139145150152148150152150148159154154157157154153157154151150144145142141140142148137133138136142144145148159150144152155151148145145151149149146149144144147150151155156158157154158158150155154157155155158 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178179177185186187192191194195197198199201201201202201197203202206206206204205206204208207209210210210211210206202201197197199201202197190190999180177189181176173174171172174171170169164168163160157152151160149153147150154151152152155150149146145149148153155146142143141142142141141142143141137136137131131129132137138136129124131129135127999999999999125126121119105107 97 98 99 96101105106107103101 97 99106 97100 97102 97111111111111116116117116119121122125123122118116113112113116113109113111114111115119116115125126128125127127127133130127127129128130132133132125130127129133133137137139136133140138141143138138143142140142139138142145147143145142150150150143138146144145142144139144143142141143146147154154158164159169168164162163168171150161152165158158152159160159161157153152155156151151152149151157159161156156170160158158159162160154155155154154154153152158155147147157156146144139142141142139137137140140144146148151147148152153151151154146151147148153152150139142140150140152151150148146146144145148147149156157152150153148152146147150149150155153153154151158156151152136152145145148152150150154152155155147152154153155157153144149143143143146144145152147151150147151152150157153153156155154152144150158148153151152150153155151150154159156159158157158157156155155157157161 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173178179181184188189191193196197199201200202201201198202202200202204206207206206207206210212214213214215214215213208999200204203203205204999999999999999181178177175167170170173167171168172169166164161165162158150150157141153151153148147147150142146149150154157147145143140140141140137141139138133132131130128132141139141140999128127128134131999999999117119120116102105105102100106105111109113114101104106113100 98107 99108104114114111114118119117123130126130129119125122121124115113115119116118119113118119127120121122126123127130130130131129129128134134135135132133132131131135133138138139139137136140143140143139141140138142144142145145147143147150148152147153153155148147146145141135142139149142148156157155147153162165169170164167159158165161161159161162163157159161161158160156155157148149151149149149151154160153157170149162158157161163159155156149149155152148154154156156152149148146137137139143142140143143144146146139150148151148148152152155152153146146144146142144141143148140156151149151148144145148145150149148146146152155155156156148152150152155155157154146145151155159155151147153149151147146153153154156152152151155155156152145152152146147149154153151147147148157154148152153145152156155152154153155157155152151161156159160153159159158156160160160152166166161156156158162 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178173177180184190188190191195195198199199200199200201196202203200200205206205205208207210211214217216216216214214215213208208203999206206204999999999999999999999183179175169160164169168168163167170167167165165166164151149159148156159161157143143144157146148145150151148147144142143140146141141136134135128129121130134146138140137999999999999999999116115116114108115109111112113108117113108115118114113114111111113110116109117109107105108112113115120119115117129131127134125124134129123121122122117118113120118115113124123125124126131129131129132131130132133130133132136134130135135138139142139144141139138137140143144144140143139147145148149148144148147148146159153156153153150149141151144138142143148147150155144153147159159164156154168164161163156160151153164161149150159158157155152160153149148156151150160151153152160154155156158158165155157162159155152149150150154154154146149154149148152149148146145145147146147143143146145141143143150149151152153155154155153150147149136145137152150157150149150154142149150145141141151149154155153153149150153148159159157155158159160154149154164159150149149150151152152152154152150156155153146148147150154145147148150151148146150154148154147154152157149146147159159156153151151156157156152156156156153152154159164157166167168154165165164165166164164165 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182181181181187184188185188192195197199199200200200200201202202204204204208206204210209209209214218218218218214216215215211213209205999208206207999999999999999999999999177177167165168162160164165167170164163165168164166165157157155146158149156148148148143146148147151157148148148144143141139140142144135138134128121127134136136999999999999999115113114114114118118115115113111110110116108111123122121116115115118117119117125109114108109112118111116125124128116115123131129131113118132142132123122119120115120115122115128126125118120130128128132128125133133132133134138138136136139140142138141138140141140140141139142142147142143142143143144147147147147149149149155158155156154157151156152152147149143142150145149145143143148152158164164159162164162164161160156152154155160163158161151155153151154153149159158150156156151158158156158161156153158159159163163159153151156158157156155154151153154149154148150149145143147148146146143143144145146148151151150150156156154155157150153151145143150154156153155154154153146153145150146157156146146152155152152149154152160161154159164160163161161152155162153162152153155158154156154154153150152152151157157149147149151151156158151150154153154152151146152149148154160162156155159146149156156158153155155159155155155165164167167170171171170164166165167162165169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185183185191191190189188189187192197198201200199199198202202201204205206204206207209210210210213215218218218215214215217215211213211211208207207207204999999999999999999999999173171170165169161160161165165165159163162162163166162158153153163153145148149149155145151151151153151146142142141143143140140140146146142135123134125999999999999999999124120118114110116118120123120120118119112123122112125127126125124121120118115117119118110111114112117116115123126124120118120128120117121118119137126135126126125119114123122121120127123122130135131125130137132132129130134139138143140141141142140141142143137143146142140142141143147146140147145150148145148147153153157159153150158159157156153155152152149149147143142145143148142144152157157157161163163159160159161156160158154157151163162153161164151155158156161154151149160157155157163159153154152150155157157162161157157157159161159162158151152154152150153148151148145145146148148149144144149149150153151150153155157157155152156150151151150150154153155155148150148152150152149147151153152149152154156156155160163158158160157162165159155161156152152157155164158161159155154156156157157154155155156156154156156152153153152153158158156156158156149158159159159158164164160160157159165160157157157161154158158157163162164160170172167166168174175162161157161167 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999181191186191192190190188184191188192199198198198200198202200202203206206206207208209210211212212215217220217215213215218214214213214214210213211210212209999999999999999999999999999174173168161161159160160157163168162157160167167163159160161153156148149154152150146145145149154157157145141140140140134135132136140137134125128122999999120999129126119114114111112114122129126125123122125126125111125124126125127127125123119126124120119117112116116121122130132127121121127127130129128128125128133125140121127122114116121120123126132125127130132124128133135132133136135140136141143140143141141141141140141144144139136136138142136143143144147143146151151151150155153148159159156158157161162155159155154154150154147145147145146145149152154154158162166160155161159161156160156160161158154157153160167154151152166163156154161163156156169154158155156154151157151153159156159158151156159156160156157151154153152151153154150148149149151155149147146147152151153153152148154152154156154152153148150150158147152151150151149147148156152151146148150156155163162158155157164166161162160165167168167161151152151160159159159157154160158156157157156153153155157159160155152151152152159159165162164165160161162163162162161156157163163158164163162163163161161161157158157162162167166166161164173172171171169166162163161162173 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180193191191193191191190184185192193192195201199198200200202203203203204207208208210209210212212212215219219216217217219219216215214215212210210213214214211223999999999999999999999999999181174172163162167164162158163160157154162156159163153155144150149145141144146149150145153149150152159150142143141139139136139134136124125999999999114113117116113110110107108113118124125126126123124125123130127128126123131129126126125129133129124119117116116119121125127124134126124122119131127127130137117132122124125122123117120116111118123130121123123120136135136136133133134140134137139134140139147145145140140140145144140142144143143145144145145145151151151155151143159163165162162156160161156160159164155155154151151150146146145144144149157157156158162164163162167164161157160159166166169170159157160158155157159160160158152160159159152159156163150155155161160154159158157157162158156156152155156161153152154153154153154156153152152154155154148146147152152152154151154152152152154153151152152151151147153155151152151149150148153153150150152157158161160164162158164165164157163160158164168154157164152154160154158150154160159154154158157159152154151152152156163154158159159162164167168166163166171162166165163160159161163161164160161164168161156156157160162157158158165164164163170172168170171169169164173173163172 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193185194193193193192188189188191194194197198198200202201203203205206208206208209210209210211212213213219221219217218220220218218216213214213212212212212212211220999999999999999999999999999999182178170165158165164160155158160161159163163152151152153150145148147150150146146147149149148149153157153146143146151147142135131132999999999118114112111106112107106109113115119125130127127125126127125133128125126128128126127130132131137135123119121118123117124127126129131137129127125128132134127129126128126120124126125120125118117126122124118121123126130123133139136136135137137136139146146145140145143144143143144146136137143145144144144147142147158155153158174158161168170164168162165164164162161159158157158158153150148151143147146150151152155157164163162169168161167164163162166168166162157154155158159157161161157158158156164156158147154163150152154159162160160161158154161155158151153156157155157155157158158157156155156156156156153152151149150152153152153154157156154151158154153154153151147147153152154153150150151149152149145148147157162162164161165166168167162162168162161160160162155160169161162157156156162162161158154158154158158159160154153150161157158168160162166164165168164166165172171163163160161159165162166166161160170166161167164163165165160167166166168167163170173173175167160170162165163166 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999192188189195193194194193189190195197200200195195198201203200201206206207207209209211211211212213214217217219221221218220218219215215214215216213213213212214213213224999999999999999999999999999999999178168180172168169163163162167164160164162161165152153143145146150153145140153146148146150148150155163154151151152145139134147999999120119123120114112107109103104108117118123117122125126129129126131129134134137130135131135131137137137137130124128126128129132133128128126132136135127125126131128124126125128129127131131127122131120126122124120120121132127132137138137138136138139146143144143140146147142145145144142145146153149141140144147157154151155150152160156153161169171171165170167163164165162161161160159157157155154158151158152154148154153160160163164166164157170157156162170167164168161157155159154169162162170147152156154160155149160165160156147155165160160158154155158160157156158156157157157159157160160160160155155156158152153154153151151157150153154151155157156157151156154155157152151149149149157156152154153151155148149153154162162161164162164169168166163168170160160158157158151162161168165163160161164164163160158157158165160160159160159159162159157154162163171166160168166167168163165165168169169161163165167166166167170169168165165165167166167169168168167165164163168166166167161156157154164170 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198199197195196197193195197201195197195201200197193200195200203205207207207208210211213213214214214215217219221221221222221218216215217213216216216213213213215215214224999999999999999999999999999999999999179178179176168169170168168170162167165161161156155151149149151156151145154157146150154155152153154158156153148150138132999999133130132132125115112108110107104106106115123125124125125126129128131130133132136134128142138137133140140137134126135134135140138135129131133136129128136134142129135129130129135126132135133136133133121124125130131133132135136137139138137136140144139140147148149148144142143145148149146146152143149142145147148148152148143150154156159152161163167166166164165167166169164163161159159160159160157156156154153152149152156157159161155159157158166159162162162162174167159170164164160162160160163157157171169161156160154158155152155158154163160162156154161155158161159158165161162162162162162162160157152153160161152153158153156153155156156149158158158158157156154155155152155153150159157160156159159158157156153157161165163159166168163170169167171170159167164160159157173169166160161164162168164163165161163164163162161162163163163168168163167166168175165162170172173169170171170173173172179164164167165168170161169169173173174166171167169170171173172173172164165168169176174174166166161170 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999201201197200199199198200196199194197199197202202201202203196198201203208209210211211214214215215215216216219222223221221223221222216215214213213216216216215217217216216225999999999999999999999999999999999999999999181179182166165166160171162156166165165167160162157148148153159151158157146148151148150999999155145140134142121999122125131134133129125113109109113118116114109113118125124123122129127131135134134134130130141141141140135119132134138140138138141143137135134130132133130129133133132129126126126120130129123123121131126123125120137131133130127136139138139143141140138140144143148149152144144147147147148149152150154148148150155143153154146145151159161162164159159164167165163163167167166167166165166166168159160158158156153157155153154153154156160161160162167164165165164161164167173176177160162161157162159163165166174165154160155163158157163161158160154160157147161158158159158159158161166163161164165166163163166160163158163163158160160158157155155158156158157163163161160160159159158154153152148152162162160160160161161159160163166166167163167170164168167169175180172174178177173166172171169165168169166167168167168166169166165164165165164166167170168169169169175174167168168172172163168171171174169170170166163164167165163156170171173175176162168164174175171172169171170175172169175173170167159167170173 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200198197197199198201197201199201203201197199199201202201200201199200204208209210210211212214216219218218220221223224225223221220218219217217216213215215216217219218217218218999999999999999999999999999999999999999999999999999185185177175167171165161162163166153154155157157153153150142143158153152150152999999999999999142144139124120122125125130129123118110107109114117116114108105118122121131125121126131140135133135139137141142142139137143139142142142143142140147142141129132135133132132134132133138126126125129124133136127135136134133123124133136141136142139146139139142142141141146147149149152149145146146144146149152155154153143147147145148148147153152146150163166165168167166167164163163165167168164166167166165167164161158163157155157157153153156161158153154159162162166170169166161162166159169178166165162166166166162158157174174159159162162160164162161167162164161160160158153155158160161158162165164165167166166161165162164163159161162157157157159160160153156157158157162161164164163162159157152153152152150160159159162161160167160162170164165167168171171171171176177181175180179178176178172167174173168169169169161170172167169170164167166164165167168170174173173172170170173169170174177170165172167170172170173173167165167166163160163166165172171174170175180174175170176170171175176174176171170168170170167167171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196197199196197198201202204206205207207207199200201204206205204205204203204208209210211215215216216220220222224224221224223223222222220218219218217215216216216219220220218219219999999999999999999999999999999999999999999999999999999999189191180179173161167167166159153153158160156155151999152154155153150999999999999152152150147139128123119129132132133126120115111110115116113111109118121120123128122119131130129137137134137135140145141138141141143145145144142146144148145142140141131132133132133134134133134130133136133131131134134133132132130135135139138142139140144140141145145149147149151155151153151159162152151154153156157154152150151154156159149153161163160156163165164164167166166166164163167167167164164165165165168164162162163155154157158159150153156153153154158158163167173166165165169167169162162176177176162163179166169165172166164164161161152159161161150157157163149157158155160161162162162163163165163165165159160163165165160165165158155158157158158158158159158163162162160163162162160158158157153161159161162161162159159157165159162166164164169171174172177177174181181182181182175179176176174176174175171172172165170168168167164168168169163165172170171174167172168170170167181179181179171173172169170168165169167167166168165163161160170162177177174174161172185183180174175173175176175172170173167167160161161166 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194192190197196200206206205211209207208208207202210207207209208206206207205205209210211211213215216217220222224225224221224223222223221221219219219219219218217217219220220219219219999999999999999999999999999999999999999999999999999999999999999183178174176173171170166168164161158157999999154155151141152999999154154148147148145145146136128123125134137134125119116113112115112114111108116123127125127125125128137137136136138147147141148142141141143145145142142142146143149150149153140137139140134138135134133137134135128136132133130136132132130135138132137144140144143146148144148148150150147150154156160158159158158159159155160158159148156150150149144145153163170159164161161160165166166166166163162163163163162164160163164164163163164162164162159160161153158154156158159160161165162170167161162162164162163162161162163168160177172177159158161163161159160168163153158157157159156158158160164160156164165166164165159161164164166166166167164162161158158160159161159159159161163159162166156161162162162163158152156157164161160164164160166163162164165167168174164170173177176176180176178179181175179179178175180177176176174172175172172170169166166171170167162161160163166174165167172171172173172179181177173175176174166167166166167163168169168164166166168173165176177171179175175177174179180179174175174171171168167170174167172166168 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999195198199196199200205209208210211211210212212213213208207206205208209205209210207209212207212215217216217220224226226224224226225225223220218220220220220218218218220221223221220220220999999999999999999999999999999999999999999999999999999999999999999999999999999176176175180178169158999999157155153156151150999157156153149142143147148143137136128125131135133121118116116115114111110114116121124126127130124126130135129132139135140141138142143143139141144144145146143142147147148151146144141135136143137137136136133135134132135130131131136134134133133139143142145143145145149153141140147155153152155157157159162162177163160148149158157157156157156161164159155170162163169164162166161168164164165165164164161162161163162161161161163165169162157159159160156156159162157156160159156159160163169161157167151163163166158158158160171169169168175165165172165160162161164169164160163150149160159161164162157159160162168164161161164163163168164167164164164164164163164160162162161159159160163161162160162163165167165166157172168165162158168167160171172170168173172176178180174179183181183181182179180178175179180180174178179174177176171172170171172164166167171171169161169166163162172167172171167164173181184173170175174168167168166167169167169169171172166172171171168181172171174181178184181175175178178179177170173175172171173173173173170173 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999198197196204204204208209214214212210212213215215216217217211208210208208211215217217216216217214215212217217222227228227225226225227225223220220221222220222219218219222226224223222222217999999999999999999999999999999999999999999999999999999999999999999999999999999999170184178174999999999999158150146141999999154154156154148144147144145149147143135127125128127123119117117117116116114111118123126129128136137126132135131126132130130138131134136139140138142145148143142141143141149151148144133132139141129132133129128135134134131133130135136132135135133136131143146146148151149152145149152157155163155156162164164166160163164157157156161162164160161159167168165166169171164165165162161169166167165165164163163163161163162162162161164164162160161157158162161159161164160159156157157164164166162159155162162161161158173158163160165157162162165158165171163164162162162162156156159155161154152158164164164165166163169160164165164163164165164163169164162164166168166166163160156158156158162162154166164168169166169167175169169167170159168172174171173177173178178179181182181182185183184184183184181180178174175177177178179175176178175175176172172169166171167172169165166169162162168175174171165170179183176174173172175168168164174167169166170170172175177173170166176176178174177178175179176177179183178182180181176177173171174173172174170172 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196198203205204209209209211211211210212214216216217217218221221215214218215218218218220218219217217216217219220228229229228226226226226223222222222223221220220222222223226227226999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154148145148999152155155155158159154150145138141999999143135127128129126124122122119124123116114120120124126127129134134132129135133132134134130136135137137134136137143146145144146146142145148151149153142140152151142135136134133130131132134132132138135137139137133136139145146148148157154146148150149158165168162162159166160161167176163165166161160164163165170169166169166168172169168168165167170168166167164163166162162160160158158159162161161160160162161163161163163162161166165159156156155158159163164166161173161161166162161160168165157158162164159163166164164165160163157156161165160157159160162165167166167167161161155162165164163159161164169165166166167163164164163165163160158160158159161159161167160158170164164172170164172168165163167172178176173173172173179181183181184184187185181182183183182182184184179179180176178177175178174174173172172169168170169174165174175169170170174170172173175175180181175180178178175170178179176175175172175175184182182179176179182182183180180176179177177184186181180187185181180177178178177173173172171177 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194194197206208209210211210209208213213214216218218218218219215215215220221219215216218219220221221218217221223228230231231230226225225226225224223224225223221222223223224225227226999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151146143999999152152153156159160160152151132999999140134131129132132133134128127127126124118118122123127128127128131133135131135133131131135131130133133135138132138142141139142143142144147145147150143147153152150148140137131132133131132134136133136139135136140136140139144145152152153157145156152157157166168163163163169164171176177159165162163165166173166180172169165170169166169176171170172170168165165166164163160158158159156157156159159161159159161161161164164166163163163163158157164157160159163169171164165160164170161156164162158165163164167161157162155172164156162160155159166158162169167157158166168168167166156164167165166165166165166166166166166163166170169162163160161159158155161162158162157165162171167171173174173170176165169171180178179175170174178186186186186186182186184182184183183184185184181181178178176177179178178175173173172174174168169169170177171172165166175171170168176178178180180179180178175184185190179180179179179177180171175178184177172171180179180183183179179180181185185180185185185183182181181180177176176173178 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193188195197204207209209214215213212211216219220220220219219220220215217216221221220220220216221222220219218221225227230230229230226225224223225224226225228226224220221221222222222224223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147145151149149149151155158156156148141135143141141134132136139139142142141138131127129122120126130131131133132134132135131136139132136135132134133135134138140147143141142141142145147147142143144144150150152149158154141142135135137132134134137137137141141140141141141149151153154157158146149158178168166178175167177169168179181178183176170167169175175175176169164163165175173167173169166167167167165166164162160161159157157156156157158156160160160162161162164166159164165161162160160161159161165166165164164162163164172166167162162160173163163164161169170172167171158151161159167170163160160161159166164165168163169163169165161165163165170170170168166160162165167162163161161163156156156163159164160158164156170172161171168172173173172175172182178181185184181178181184184185183182185181182184183183181180180179178177174174174172176177172175176178176176169170167168178178168174173178173173169176184181183182180185180178182186184186186180175180176170188188184184181174182185181183184182184184182185186186189187187190185186186185184179178178177181 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186192190198207206208214217214214215220220220223222220220222222222221220221220220220220219222221220221221221225225226230230229228226225224224224225227227226225226224222221220221222224223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146145144141138138144142145138130134138138142142138135140141141142141139138141135132132130128133133131133134132131139131135136136140140140136135136142137141143144148143140143143147143150149148146150153155155161160154145141136127134139141141143145146147138140136148150151149158152159159149173171169179183172180173173179184183185167178173171169174172174173176171170172176177173174172168167167166168170166164163163161159159158157158157160159164160164166160164162158161163164163162161160160165165167165168166163162162165170164166164160162166164166172172167169163170169166166166167168172163159165162164163167163170169168165164153168167166160161164166167168165159168171166157161164164163157160161164159164169168170172173171172173170177173176180182182183180184185179182182179179180183184184183181179177178177177176172172172173173173173177174173178178173173175172170175175171176175180177173175178185185185182183184185186183176179185187185187186185184181188187182183184185182183183185185186186186184185188192190192190190186187188188184183182179181183 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999196195191198207206212214217215215216218222223221222224222222223223222221220221221219221226220217221222219221222224225225228230230231228227226224225226227227227226228226228225222221221222222223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155148148142139135130129133136142140139141143139138139141140139136138137136137134135134128126133132135132130130132135140140139143143140140136134139140140139142145142144137140145150147152151153155152159158159157159154154139141141139133134145142144145149150150154153151151157153159170182169171172184184187164174184176176179184171176177176168170177175171175171173177179180178174174172172171170170166164164161163159158160156157153155156157159160160162165164165162157161162160161166162161162162163165165167165161164164165171173165164164165167165167172171174171164169170170174172166168170150161161164164166169169163169168169169166164163168159163167166165168161164162166165166165162164165165158163162156169169164168172172174175173176180176177185183185182187186187185182184184183183182181179179177177176176175174174171173174171173174174176177177176173174174175180176173175178179181182179181184188186189188184185185185194191187186186189190188185189188193191189186181181183183184185186187187188188186187187190190193190188186192190189186185184181182184 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999197191191197200200212215215217216217219218221221222226224224224224226224222221221221221221223224223219224222220222223226225227229231233233231227226224224224225226228226999999227226225226224224223222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160158156999133132128131137143145142140140141142139138137137137138139141139136137135136133132132131133133130130134137140141138136141139142140136143142140142142143144141141142145154150155156159158159159163160165162166164161152146142143150152149149147162151161155153154153160162166176165177167172182177185190193176173172176174172178180168172178172175173170174175176179179177177177172175170172171168166160158162156157157156154152152153154156158159161162164164164156163163165160163163165163162162164165167165162163166165165159160168167166166172169172168171173165167172172158161168160168168163163162166167165170168169168166163162165162168165167168165165169168166165166166163166166163164160167168167168169167168168168172171172179178178174183183184186184188188185185184183182183180177176176177176177178176172174175174174173173171170172173176174175174179176180177174176176176176183183186185186186188188188182191195193192193189194189189191189187190189187194193187186189187182184186187188188187188188189190191190190189191188192194192190187184187186188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233232999999999999999999999999999999999999999999999999999999999999999999999999999999999191192193191196202207217217216217215216222222222218225228229228226224225223224225225226224222225224227224222224222223223226227227231232234235232230230227224222222223225227999999999999233233232228227228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136136132139143144142144143143146147146142141136137136136135140137140139138137135133132135134134133135135139140137138142147139145143140144142141141142144140141144147144154156159157157164164154163167164163163168168159167162162162152157153152157160150154153160163164164177178180174168170174171170181179178182178176176176175176178177178174179177173176182178181182178176176174170170171175169167158160157157155155156157153153152157157154158161161164163161159161161163162162160166164165164164165164162161163166165165165166167165166164167170170169167166164163167170165164162166165165165163168167164165168169164169172169162166167166168168165168169169164166165165167166166161163167166168169167174171171171167171174177175185176181178176185188187187187185187183183181180179178174175176178175175177180174174173170172173173169176176172171173173175178178175175173173178175181184186187188186186189190190191196195193193192195194194196193192187196191196194196191190185187189187187187187186188188190190191191192193192188186188196193191190189190190188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231231999999228228999999999999999999999999999999999999999999999999999999999999999999186188196199200206205212219218219219219216217220224225227227230230231229227226226227224225224223226228229230228226226226226225226229230233235236233233233233230228226225223225228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152139139139140142144144142143147149147150146146146141142137136137137136140141144140140131140137130132140134139142139141143143144144147147146143146144144141143141141136145141150154159162161152161156159166165164167172170169175174174172170167163162164162160157162162163165170170168169167179173174176177178179182184176178187184182180179181182180179178176177179182182179184178174173175173174176176163165158157161155159155160160151153154151156156157161160162159160156155161164160161162159161161162163163164163163163164165167165171167163170166166166163167162164163166170169168169168168162167167170167163164164166168170170168170164166163167165165166166167165164166165168167169168165163169169168165172174175171173171172174178176180177180184183189188190187188187185182182182179176175176177176176176176177177175177176175175174174170174174175175175176176176177176176175183176177182186180188184184190191192190191193198198190192198198193199199193193194196195192191188191195192191190189186187186189190190192192191192200193195196191197187190195193193191189 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229233227223225225227999999999999999999999999999999999999999999999999999999999191184188193201202204211211211213220220220220220218216222224225224226230230232232230229230226226228228227228229230230231231231229230231232230234236236236236235235235233231230228225222226228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148143147149149148151145147148154153158154153160153145147144140138139138140137143142144145142143137129133140136141142141145142144148150151149150146148146145147144142146143144147152154155169168159153163165163172161172170173170168171174173178178173173170172166161166164166172179172173172177178168168171175177174178179174178191187184179179193179174185174177175181183184177178178177174172173176175174163160156155159158159153152151149149153152153153153162164160161158159159166160160161164164160160160162163165163164164166170168166165161162165164164162163169170168167170164163164168170170169169161168163165162169174169173166174165164165175166166166166165164165165161161164168165168163162173170170167176174170167176168167171180180185187184182186190189188191190190185184183179178177174173175174174177177178173173174179177174175177172174176174175174176176174177177179181181183185181180183186186186190191192190191193195195196197199199196198199199197196195195195192192193193193194189188189189189189191194193193194195200197196193193199192190199199196194194 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222229999220222222219220999999999999999999999999999999999999999999999999999999196198200192204207214211216212212212214216219219223225223221225226226227231229231233234231230228228228229229227228226231231232233233234234232233233235237236236235236234235233232230225226228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172169165999999999999149144151148148148150143150146150151152154156159162159156165156149147145144142139137141143137142146142142144140134131140138140148147145144146149150153150150147151148148149150145148148151150156155155161162155157161161172174173170173165173169175169179179178178174180179175178174180175175177178180174175182177177180183182182179177179180190184184181183184187182177180182184185186181181179174174173173175176178173164161157153152156156158154149150153153154152153155160162161160160161161162161160159159162165163160162162168168165167168168168165161162166166170166161166166165169168165166164169166170170170167165171173171167168178180173169175167168169176173170166168170164163162167169166169172172166165174171172168178173172174173169175186187184186182182185184190192189191188186183183182178177174174172173172171176176176177175173178175177177175175176179175175174173174174175178179180182183186182175182191192189187190191184192194198199200202201202200200201202198198195196195192189191192193194192192194192195194194193194192192193197196195196196202202193197199199198198 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228224228222218215217215215212208999999201999999999999999999999999999999183186192191200200207203207214214215215213216217217218220224224228225223224226226229231229231235231229229228226225228228229229233233234234234235234233231231233232231232233235236236235232231229224224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169169170164162160162160156152155156157157157150149154155157159162163162164165165158158159157155153151148144140137136141135139148148145145138136139138141140146151150149149148149154157157151145149146148149154151155157160161163164157155155156163160166171171181172173169178172172176171174175179183180180182182181184181176179173176179181184184185184185181179188187184186184185182185186187186182180181185183183184177175176177176177177170174171163157158157157155154151150150149151155152154158158163161160159155162164163162159160162162164161160163165166167161167169168167165165164165165170164164169164165170168166164162164169172172169174174176178177169176178185183174173171178180179177170169172172171163169169175174176171166170166168177177175181180184184185184187190188192187187190191192191190189188184183181180177175170174170171173174176177175178178176175176178178178177176179174177177176175177180180182183181182184187182190188191191189190195197195196195198202201202201201202203204201195195194194195195194192192192192192191193193193194194194192192193198197196196197203198200200197193200200 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220220227221217215215216211206205203203201198197201200999999999189188185184189201198200205202203206215217215216220221217218218220223222224225224226224224226228231233232232232231230229227228228229228229233234235235235236235236236233232231229229230232234235237235233232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172170168169166163161162157155159158160161160160159157159163165163166166165165163164158158157158157157156155152146147144139139142142141142142143141143144145152154158156151151150146152158159156155148149148149151151156160163161165160158157158156157156162179180187187186182180179180171170174182182184185183184185184184181180179186184184187184187185184183186185189187185185183187189182179186187187179183183186187182182180177178177176178176175176169160154157154156153152151153151152155154158158160162164159159156155161166164163166167162159162164164164167169166166169174170168168168168166168165170164167167169169171164163164164166170170175181177187184183176167181179175179168180183178177171170172173169166167163164164166173171172167176176170176182182186187188187190188188189187190195194192193190190190184182179179175171171171170172171174175175175177179178171179181179178175170180179176179178178181180181181180184185187188189189188189189191193194193196199194196201199200200197200203201199200198197196195194195194192192193192191193194198197195192193200198194196198199200199199196198198196200201 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220221999999999218220216217214210210213212211210207205200196195192191191191187186187187186197195204204206208204207214216216217219221221223222221222221226221226230229226226229231233233233233233233233232231229229228228231233235237237237237236232236233232231230228227228231234237999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175177173171170170170168164161159158159162164167165166166165171170170167168169165166164166166160160161161162162159159157155152145147145141142145148150149152152158158159166159167162164158159161160153155153152147150150153155154160162165161158157161158156157163169174168182187184184183182179176180181182185184185184188186186186184186187189193192188191182181182182184191188186181176181182186185186183183185182185180183182181179178177180179178177175171166164158159156154159160157155155154154158158161162160159158160157160155162160162162162162163164165165164164164166168168178167168169168167164168166167169170169167164167164164166167168171174179177178181183182181179170181169181175182176178176177170169173174171171167169170172171172176177175179182183184183186189188188192193192189191191193195194194193193191185183181179176173170171170170174174174177175176177177178178181180182181179183182183179181185181183183181183184184187186189187190190190190192191192194195199199196196194199201201203201200201200199197196196195196195197198194198198199199197198198200201196196197196199202202202199201204200203199 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220222223222216217212215210209210211209210210205203196195193194189189188187193193201201195186199205207212208213215214218220222222226226226227228230229230229230229229227231232234234234232233232231231231230230230231231234235236237240239238238237237232233233232229228229233999999999999999999221222222999999999999999999999209205205204200999999999999999999999999999999999999999999999999179180178174170171170173168161160163166167163171168168171169167173173173172172172170169169169168169172171166160164161157160162159157153153155150150154159159160162164166168171168166168168161163156162154159156152155157151159155154154158164160161157156161162170169169180172170172188179179176188181182181185188182185185189190190189189190190191187191190188183191181187185188192185185179184183188189183186189186186184187185183180177179180180178179177174169171166165161161160161162159155155156158157156160159158159156160157159160161158160161163163162164167169164165165165172175169169169167167166171170170172168171174165168171162160162170174176176178178178181184182177172179181174178181173182181179179174175172173170171177173177175176176174181180185184184187187189191191191194197195193194197195196197195195191189189185183177173173172173171174175175175177175179179179181180180180182178185184182184183182185186185185186184183186189187191189191192189192193194192191193197195197199198199199202202202204204202202200197197197195194195198194193196197196198198198202202200198201200200202202211208200200198197201 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218219222219213211210209210211213213210209207206199196194197193190191189187200198209208191200203210211212213218218223220223224224226228230230231232232231232230227227232231233234235235233233233231231231232232231232233235234234233237239241240239241239235235235235234232231235999999999999999221218214214999999999999214212209208206203199199194999999999999999999999999999999999999999182180175171173171172176174170163170171175169170178174174177171177174173172171171172173172169169171169170174174167166167167165165160164162156155158159157162163165165167169170171172167174172167165168162152153162156160165160160157158147151158153157159154165165162171176177178179182192194187188191188196190194195192194191194192190194195193192185192192192188190193190191190188192189191187188185189190191184184193188185186183182181181181181182181178177174172171171169169167164164158159156155154158160158157158156160160158159159159159156161158160164157163163163166164165168170174168169171170171172170174169174169170178176173171167165163178176179179176183187185182180183182175177182176180177185186179181179181180179174177180183182176184176183186183184184187184191190192191195198200197197195196196199199197194194189187186182175173173174172174174175175175175173177178178179183182181183183186186187188188185186186186183186187187190191186189193194187187189190192192190190194197198201198201203202203204204203203204201199196198195198195195195194196195197199197200203203205208204203200201203200203201201201199204 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218223223218221216211211209210214215216214211216218210208204201202202200197206210205192195207204206206214216218220222224225226225227227227232233232233234235235232228232233231234230234238233231232232231233235232232231233235235234235236237239239237238239240237237236236237238999999999999999219221219214214214999216214212210209208204203200200196192185999999999999999999999999999999999178174172173171174178174175172177179179180176176174171181178178177176174173168169172173173171170168170170170172169171167166166171169167165163162164163165164166165166167169171172174172174171170164170168162160161142149163162167161157156157159160168169173169170168178172177185190195190194192188190196193196198200193195189189193194197197201200198201195193192197199187194191183185191190191191190187192192185189189189187185185183181179181184183178178177174172174177164168173161162162160158158158160161162159159160159159160160162157156154157161160160161163165164167167170172171169172174171167170176172173171173171173177178180179172169170174182178186187188189184181181183185180185183183185180185187182186182179179183181183183187186179180180185186186187188191191192190193194198200202200200195195199200200197196197191189186181176173173177174174174176173174175176180173176181180186184183184186186190192189188191188188189189190185188191193195193194192190193192189196191194193194197198201202204202202206206204206205204202199201200201198197195196198197199198198201205205206207202202202202204212204202199203205206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230225227219222221221220215212213212210215218219219217215214212210206205202206203212210203207194190199201211208215217220222225226228228229227228231232234234228230236233232231232232235235236237238237235233233233234236234233232230234236232232236236236238238237242241242239238238241249999999999999999219218218218215212210213210212209206205205202199200192192194186180184999999999999999999999177177179175174172173174177177184183178185181180178185182180176172174173172172173173173173172173175173174171171172173174170173173175172172166167168167170168169168170168168170172173175177176172174176173172170170168165157167162164169174167163156158164170173172175180182181182186185190196191193192192194198198200199201199197191199197195201199203202200197197196196195194194192192193193194192193189189190185188188189186188188187187183178181183184181176175173174174168174167166166163163161160161162160159160158154160160160160161160157155158158159160162164165165163167167166169167169171172172174174177180177178174182181176175181183176175178180187190190186186186185188186185185184176184186182188187189185186182183183182185184184189188186183183186186188191192193192194194196199198199200200199196194198201200198197198193192187183179175174173171173176175175174177172180176177178186188187186188190190190191192191192191189190192192190193189194195186192190189188187188196194192191197203204205201203203204204205205205204204206206201201200199196196198196198198198196200203203205202201204207206204207206203203207199205 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233228229228227218219219221219219216214213213215219217223217220219218218222213207209211203198205201197198194195213217219220224227228231231232232231231233234236237235235231232232232234235236237236237236236236235237234234233233233231229233235232238235235236236238238240241241238999244243243242999999999999999999220220218212213215207210208205204204203199197192195200198189186191191999999999999999175173177179179176174173178180179183181181182181178180183180177177180178175176178176180180185185182182178180172174180175174174174177175176173171169171174176174173172171172173172174175177177177176178178178177173171169168167168171169171167165171167166172173174179177178181186189200201186191192194192194194195199197196200194191201197203205203201204198202199198200201200200196194194191194189195190192188190191191192190189186188186184182181182181178179177175175173173170168170168165164164162161161163161158160157159161158162161160160159159159161160164163164164165165167168168167167171173179180180178178175181182182180184179183180182177179176182183185184184190186193195187187182183188191191191187188190187186186188188187187188192191189191192193195195197197198195196197200199197198198199199198194197198199196195197196192183186182177173172169176173174174176177176179180179180183186187188189191191190190189191191188189190193192188189193190189182190186187188187186191190197198195197204202200201206206208206206202204207206202199202202199198198197199199200198201204204205203204203206208207208206204204204209200201 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225231226226226226222218219217217215216220217215220218224230229229227228221224223219218221205204213205205204204209216217215221224225227230231233231235233234235235234232234228229233229234235237238236238239239236235238237235235234234232233233234237234237236237238239240242239239237238241245244245243242999999999999999999999213209212217205205202202202201198198195197200200197194188179177179180999999178174175174175174172172177177180183177179181178180178178180179176175180182187186185185189188191189186186185178183185175176179180176178175177179174174175177176176177173172173172175176177175175179179179183178178172169169169166164173173172174176173179177180182176174179179182183185191190189192193192193197192196195201199193201203199199205204204205204200197198202204203202196197193191193195196192191191191190193192191189189189184184183186182181180178177175176171173174171170170165164164164163163164161161160160158161163163163162161160160159162162163166166168168170171171171169172169175181183183178182186186185181184183179182181184187184179190189188188189188190189188185192189191189193189190189189190189190187189190194192194195196195198196195197198200201201199198197197199203199199199197197195198197197196199196195193186182184173171170171176174171170176176176177178175181184183185187188190191190192190191191191191195192193189195194190190190189189189189191194194194195198198197200201200203206208207208207205207207206202202202201200199198200201201202202202204206208207207206206207206206204205204206203208203 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229225228226227229228222222220217217218220220218215214216223223224222221220219217223215213210210211211209203214214219219225227230231234235237238238238237236234233237239233236236230230235235236236238238240240239237236238239239237237238239236240239237235237239240242241243242242237240239243244244244245243999999999999999999999999208212215201198198199197200201202201200202202199197187178173174175176171168171170173174173168172174182181182178177179179178175176177179180177188189189187188188184182184187191190192185180182183183181180185179181180182176174177172174170174173173175175175175175175176177179179182184179172173171171175176178174171173176180183182177179176181184188192189190193194187192194195194195199200204204200203204204203205206207207207205204208205205201199201202202196195196197197196193190191192193192194191191190188190190191180179179180177178176175174173175172172168168169164167167166164161160159157161162163162162161158160160160161163163164165167168169172173175174171181176177180180181190192188187189188185185185187187188187190191190189186189196194194185189190195190193190192194193192192192190192194196197196196197198199199200201202201201198198197197197203202198200198197198200201199198196195194190190188179176172175171176174171172173174174176178178178181181184183187189190190189191191195192193195195199194192189191190189188187189192194189192192195196198199200201203205205205204208208207207207204203202204203197198197202202198200202204203206208209208207210211209207208210209205207205206209 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225230226228230227226226224221220219220221220219220217220215220224222223219218220219222220215213212212212216215221222225227230233233238239240241241240239240239239239240233232235234232235233236236238243242239241241239238238238238238238240239240241239240239240244244243244242242243244243239240241243247248245999999999999999999999999999999999203195199196197197201199199201200200200198192185179173172170167169171174175176175174174178180181179179182181182182180182180182174177179176173177179179182180189191189191181182191190190183180188193189181184187182176181176177174176177176176176175174180179176177178179184182182181178174173171177175177180179177182183183182181180183188190191191191195194195194195194195196194202195200202202206202203206210210205207207205207205206206199201202200201198200199199198197196193195193195195194193192193192191187192193184183184182179178177178177174176175175173170168167169168164164164162164164162164163164165161163164160162163165168168170169171171173176178178176186184188190191193193191189189189189188188190192190191194196196192196196197198194195193198194196199197198199197198194195196197199200199199201201201202203203203202203199199204203202199201200200198199201201199198198199200196194195191193188181177178179178180178184177177184181180180185188189187190190194193193197195197198195197196196191191192193196193190194195195195195194198199200202204203205206207205206208209209209208207204203204202201202204199199203204202203206206207210208208211209210211209209210209209207207207210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223227226227226223225225224223220224221225230224223224222223221224222220221218218220224225221221216217217221226226226228228229233234239240236236242243242241241240237237238236236236234235236236237240242243243244243240242243242241237237236237241242242242239239242245245244245245244242247244244242244248252247247999999999999999239244999999999203204197201202205195195199197198200198200198195190189186181174169169170176176177175179176180181176180183180178180178179180180184179180178173177176173178178177186188190191181192191189189189188188182186181187186183179177178177177176176178179180175178178177177176177179182185178182178175174171177176176180184180177174183183183185186188185191193195195197197196196195195196198198200205205206207203204207208208209209206208207207207206206206205203201204201197199199199199195197194195196199195191191192191187186191180180181180182183183185181182180178176174172170169168168166164164162165165167166163168166167167165165165167167170170168170172171171177179179183192192191194187190187187191189187193190187190193192192195195196197198197194197197197195197200199200201203202202199195198197199203201202202203203204204203201202202201200200205204200201201201198198198199201200201199197196195194190188188185181183178176175179175183182181182181180184186188188189187189191192194196193195197197197196194193194195196195193196196196197198196197199200200202205204207206208208209207207207208207206204204204207203203202202203201202205206203205205206208208211207209208211211211211209208208209207 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223227227229227225225226226225222227226229232231228223226226227226227226226230226225230233231230226227225224229230231231229232232231238236236235237238238238239237238238239238237236237232233238237238242242242243243244243242243243242241237235240242243243243243243245245246247247246247245246247248248250252253253999999999999230227230230229224221218209200196196199203202197198202201199200199197195194195192186179174173176175177178184183180181185184180183181180182183181183190186183183178186174186183181182187187192194187195187188187191192188190189178188187184181182179177177177176177180179178180179177180179182181183183185184185179179176178176179178179180182183183185185185190192190193194195196196193197198196202197197199204203208209208203206210210208204205203203205208207208207208208207206206203202202201199200199197196197195197193193194190190193195197192186186182185183185187187185183181180170169171168168171168169168166165167167168170172165169169169168167168171173171172173174173175178180183189188189193195188187188188191189192187191190192196198197195197197201202200199201199199198199201201200202202203201202201203202200201202205203204205205203204201204201203204201201204203201199198199196198199200199197196198192193191187186184188187185180178180173178180182183183184181184188189191191191191190191189193193195198197198195194195195198199195198199200200200200198198202203202203209209208209209209208207205206205205205204206206205204204204203202204203201202205210209211210211212206208210211211209210208208207207207 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224223228224226228226225227223230228230233231229231229227227229228226226226226227225228226229228224223222221221231233234233234234238241243241240236235240239239246239240243242239237238234238239239240240240240243244242245244244244242241241241241243244244244246244245245246248249249247246244246245248248248251252999999999999231231235231226214211213215211200197198198200200199201200200200200200196196195195191189182178179176177177179184180185187189180175180180181180177184183187185183177178178184189188190184185194197191192188189186192186189189187187184182184187181181180180179179178180179179184182182184183184186185187189184186186179183177180179178182180183180180186186189190192186192192194196199199199200199200198199202204199210212212209207212208206208210203205204207209207204208208205206206206207206205201200202204201200195198195201201195193191194196198193189187190190194192191191187184182172173170170171172168174171169168169168169167171172170172169167168169168174173173177176176176178187191190189190190190192194191189192190189186189193193196199201200199198203201202201199199198201205201202202203205202202203207204203201204206205204205205204202202204204205202202202203201199200200199198198198196198198196196193193192189189188185184183183182180174175181180182184185185186186187190189192193193193195196194196196201200201201201201200198200198200201202202203202203203204206206210208212210208207208208207206204204202203202202205205204205203204205205203205205206207210209211210210210209208209208208209209207207207211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224227227228223230227226229232230230233234232232231230229230229227224228229229229225228231231230225229230229230234236235235235236238238240242243243244240239241241243248245239239239240240241240241242242242242244242242244244244244244242242242241244245244244246246244244245245246246245243243242244244245244246247246999999231234239235231228999999999212208204195199198197199200199200202200198198197199198196195193193188182178178174181179183181182184182175172178179177183178175180186181178178179193192191191193193194197197199192194191191190189189188191187189188186183182182182180179179179183184184187190190188184188188188188190191192190188194191180185184182183182183182187187188191189194194195198197201199203204201201203210208210217215216210209211209209211209207209213211208212210208211217214214215214213211215208216213210207202202201198196194196196197193195194190195191193196192190191184184176173169169170171171173173174172170174174171170173172172169169169169169170170172174179178180182183189193192193192192193192190192188191190192196194198198194199201202202202208205205202199200198201203204206204204202204205203208203203202204206206205206206205202202202201203206203202200199197199199199197197196196198197195196191191188192191188186183179178178178178178179181184188186186186187190192192194194192195195197199194194200201201203202200203202204204203202204205204205206206208209210210211210209207207205206207207202202205207206207206207206205205207208207206206208209207208211210208211209210207207208209208209208207207209 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999228228229230231228227228231234234234234232230231233231230229231229226228230230229233232235231231228231231233236237238238238238241244240239239244242242242238241244247244243239239237240242242243242244244244244244245245245244245245245243241241244246243243246246246246243241242245241242242241243242238238243238242242241239234234233230999999999999999999200197200199196198197197198199198198197197203202198199196195193189182179180180181184183181177178175182181178180187185182184192193190190194195193192194195196194194196199201195193192190191193189190188188188185186183181184183183180182185186190190187188188192194194196194190190190192193191186185186187185184186187184179186189189190190192196199197196200205209203201204205205207208214212211213215214213213215220215217212215219217220220213215219218215219215219215216218215214212207206205202202197202204193194196197196196196195194191195184181178175170172169171168174173174173173172175174173172172171173170171171171172171174178179182185188187192195197198194195195196195192192193193196195197197196196196202200200200205207206205203202198200202202207206205202203205205206206206205204205203204207206204204202204202203204203203202201198198200197197197198198199196196193191190188189187186186182181180180179178181183182183183184184186189190190189191195193196198196202201201202203205206204203207207206208209209206210209211212212211209210211209209209209207205204208207207206208208206208209208206206207208207208210208211212211212212212212208208209209211214214212210207206209208 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227227229233233234232228230235237236236235234236232233234233229232232233230231235235237237237237235233227237237239240239240240242242242239239241240245242237238243242245243238241239237242244247244245245248248247247244242245245245246246244244243245248245245248245244248244241245245243242241241240236235240240240240239241239228228231233999999999999999999200201197194194199198196195194194204201200201193198198198197195193186174177185183181183182178185179179176175184185186189191194193189191195194191192195195194189195195196199194193199194193193198194189190189190187183187184186189187188192191189190190192199204206202208208202198199194192190189186187188183184186182186185186191193193195195198204204198199214211210201205207206208210208207215211210213213215213213215212216213212215215216217217219217216222216218217217218215218216214210209207205203204200197197202198196197199198198197190183183177172171170171170173173176170173174173172174175175170171174174173171173174175177181183186184191194195197195198194194193193196194193196198196196195195197198198202202201205203202202201199201204204203204207204203205205204204207208206206207207204203205207205206205205204203205204204202201199198199198195197196196198197195193189187187186189185183180180180181183182185187186185184185184188190189187189190193192196198202201201203205205207208208210208209212210211212212212211213214215214215214209211208209206202205206208209210209209210210210210209208206206206208209210212213214215215215213212211210210213212214209209209207206209205 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230230231231233234230231233235238239238238234235234234234234233233233232232232232236238233232238235234234238240241242242242242243241242239238236240241244242246244244245244245245244245247248246245246248248248247244243245245245247248248246245245247249248247246249244245246243248247243241242240239238240239239238239242242999999999999231236235239236237999204203204205203192197198196194200206202198198199198196195195195196186179182185184187183178180185183181185184185188188188191187198197199195193195195196189190187191190196198199200195198196198193189190192192192194189196191193193192190190195191189199193206202207211214210212214207203197192193191187188186188184187192189190196194195192195193197208198195204210208199202205205208212212213211211212212214215215214211210213210216215212213213217216218221222222221219220221219221219218216214211210207206202199196199200200199200199198193187182179175171171171173172178172173173176176172174175176172173172172173174173176177178180183184189188191196197198198196193194195196196195194198197196195197195197200203206206209209202204204203203206203206204205202203205204206206205207208207208207208209206205205206207206206205205206206204201202200199199199196196195193193192192191189186189188188187185182185183183184184187185186187189188188189192189190194192199199201199200203207207205207209210212210212210212212212214214214216215215214213213212211209207209208206206209209209210210210210210211210209209210209210211213214215215216215216215215217216216213211214214209208208208211211206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226229230233233230233232231235241237239238240239233236240238236238238240240240240234233233233237236236237240242243244245245239245244244241240238239240248245248246246246245245248245249249250250249250251252251251250250250249249249249249248247247248250249247246249250246246244249247243242240242239237239239239239242245245999999999999231233233236239214999206202198207204197192203195193197203200202201201200200198196193191186181183185185183182182181181185182184186192196196196198198200198190197194196196193194191194193192193197192197197198199198197195195189189188192190183190194194194194194200196198206201207209210207208207213212207211205200194194186185186185185185188192193194191191191190196189196197199204201202206204208210212213210210214214212213215215214215213208208211214216215211210214215217218221223222222221222221221221218219218217212207206205205201201202204202201202200195190184176176173172172174175173179177176176176178176173178175171173171174173174175177181185186186188195196198198198195196198196201195194193196197195198194198198201199200206207213208207204204203204210208203204203203201203204207208205207208207208207207207206207206208207207205205206206204204202202200199200198195192192189192193191190188189188190185186186180183184185187188187189190187186191190193194195196197198199204206200201207207209205206211212210211210211214213213216216214216216214211211211212209209209208209209208208211211211210209209209209209210210208212213214218217215216215216214215215215214217214213214213212208206207209211209 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219226232233232228233239235235237239240241242240238243240239240242239240240240234236238240240241241242242244245247247247248246246245240241240241240239239245244244246249247247249250250251250250251248251251251251251250251250250250249249250250249248249245244244249248250251250250250248246245244240238237239240242244246245999999999999230234999237234999999210204199200199198195197195199202202196197198198197197197198196196189182183185184183185182180186186187187187199200196200198196194194193196195194195197197194194193194193197194198200196197198195191187185189189192192197196197198197200205206207202203209210211207207207209216209207206206204199194193188185186187182188190191186183188190191188193193189198196202202213211210218218214209216217214214213215214214210213211211212212212211216214214214217216221219223223223224222222221221218221221217212204205206206206206206206204203201194188177176179176173178176175175179177178177175176178171178179173175176177176176179180183185186191192194194199196197196196203204199196195195193194194196199200202207205205208209209209205206206206209209206208207206207207208208208209209208209209208207206207206207208208208210207207206203203203202200199198198195197193190191194190190188190188188189188187184180184185187188188187190190189190195195194198199199201201205206206209208210212212208211213213211211210213214215216216214213216214213212214211210211207209209209208209210211212210210208209210209210211210212214215217217218217217215215218218218214213216215211215214210208206211210209210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278278279277277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221228234232229228230234234235237238240241244244237241240241241241239241240240239236240241242244245246247248249248249248248248245248238241242241242246244245244248248250251247251250251252247248251251252253252252252250250251250250251251251251249251249247246247246252249249251253250247247246246242239240242244247248247244999999999999999999999999999999999207206200197196198203199199188199197197193197197195198198199198193190183185186182182183185184182185185192188196203198197197192190196194195192190192194194198194195195196198194199198194196196199196187184184188194198199198195200201209213218215217211210207207213213211214213208208213211206201200198196194188185188189195196193193190190190192194191204201199202198205223205218209209211211210213213211215210211213214209209204211212212214214213215215216218221223222222223222222220218219219220221216211207207207207207208208206206200190188180179179174176175178177178179178177178169168173177172182176176177180175179181185186189189190193193193193201201197194195198198197194194193193197200201200204205209209206208208208207206207207208208208209210209208209210208209209208208207206207207208209206205210210209208206207206203201201203201196196196194193192192192193192190188189188189189190191184182187189189189191191192191195197196202198204206203203207208210214212212216216215216210213214214214212213213215213211213214213215213212212212208208211208209208210208209211211210209209209209210210210210215217217217217218219218215217217215215214217217216215215214211211210210209210210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275277278277275278279278278276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230228227228235237235230231232232234233236239240243245244238240240241239239242241240240239242243244244245248249249249249249250249249250250250249247246243244248245246247249251252252251252252252252252251252253253251253253252249249252252251251249249250250249248247247248248253254254253254251248247249250249247250250251251999999999999999999999999999999999999999999204206205199196195193193193193198196195195192198198195200198195193187186187185183183184185183182186188193191198203200197200200195194196196192190190193191193194194192195197194196194192192194192195189193192195198204204206200205206207220221221220214215211214210213210213213208206205209209207200199200196186193193197199198199197190194185190192194205206205211217208209207208206209210211209213215215214211212214212209210207207211211212213212213214214213220221224223225223221220217218217219221220215213210209208208208208206201195193189183180181175176181183181175177175176172171180183179182185184181184188188186188186188191191193193193193193199199195196194198199196197194193198198200203203207203208206208208210211209210209209210208206209210211212210210210211209207208206207209209209206203205206207208206206203205201201200200198195194194193194191191190192193192192190189190190189188187190189190191192193193196196201204207207203210211210211211210211217213213218219218216214214215214214214215214214213213212213212212212211211211210210211209208209210211212211210210209209209210211212212213215216218217218218219218217220217214216214216216214215214212210210210207207210209 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274276276274274274276277279279276277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236234236236233232234236236233233234236232235239240239243243245243241240241241240243240241244244244242246245249248248249249249249251251251251251250249250248247247249247251249253253252253253250253253253252252253253249248248253249249250250252253250248253251251250250249252250253254255251253254255253252254253253254255254255999999999999999999999999999999999999999999999205207204201198196195191195193197193196195195197198197197196196193185185186185184185185186189189189192195197203204202200200198196194197198199192195193192193195192195197195194192193190191194196198199204207208209212213213214216221222225223222221223217212215214215212215204210209210211209211206202197195190198189192205205197194192201197200195200205211214212216217217217212215211216208211210210214215212212213211211207208208209208209211213214213216217219223225225224224222221219219218218220222220215214211209207203207203203198185186184176181176183182181181177179189184179175175183180181183182189189191194189189186188190192195195195194195194193192192192198200198197195196196196198206204206207208206208209211209210212210211210208207210212212212212210209211209206205206208209208208205203207208207206205205203203200200200198198193192190192193191191190192194194194192191190192192190189192192192193194194198202201206210211213215212215213213214214213217212214218217218217215215212212212214214214213213214215216213212210210210211212212212210209211211212212211212210209209211212213212211215216217217218219220220219216218218217216217218217217217215214211210210210211211210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272269269273273274274274273274276276276279280999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233238236234235233234237239237235238236235237239241241243243248245245242242240238240241245244245248246248249250249250250250250249252249251252249249244249245245248247251249250253253253254251252255255255255255255255254254254253253253253252253253253254255252252251252250253252251254256259254256254254254256255255256256257259260999999999999999999999999999999999999999999999999207202202199195194196193196195198198197196195195194195195188186186186186187187189190193195194195199203210205203199199201200198198202200197198196195195194193193197194194195193198200200204207207210211210210213216217221223225225225224224221225212214217214216213214213214212213214214213208202197200201197197198206197200199195201206199201202209213216219220221222214214210210211210213215212210212217211211213214208210207209211211210213214213215217219222225226225224223221219218218220222223223219218214210202201205201193186180180184181182183185183181174176176179180178177184182182184182184183188186188188192188191194196201199201199195196195193193195200200198196196197197198201201205207208205207209210209212212211212212213213212213212213215213213211211213210206206207208210212210211206205204205204204202200200199197198198194193192192192192188192194193192193193191191190192190190190193194196198201205205210213215216215215217216214217216216213215217216218217217215214212212212214213215215215212211211211212211210211211211211213213212212212212211211212210209209209212214215213213215216217217218220220220217219219218217219217218218217217216215213212211211212212211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273271268269269269268270272272273274274275277278280999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999240238233234236241238237236237237239237235240239240242244242245241248248244243242243242243244239244241243243247251250250250250250250251252250251252249249249249246246248248249248249252253253254252255256257257257256256252253252252255253254253253254254255255256256254253255254255255255255257257261256257256257255255260259256259260259999999999999999999999999999999999999999999999999999201209200196194201198193193192196197199194198194194193187188187187187188192192196197198198197203206207207204201199203202200200201201202201202202201200199201202197197196199201202203207205205208210210213213216221222224228228224225224225224223217217219213214210209214215220212216203212207202201205202200200201206199205204201205209208218219214218222225224225224223216216217214223223215219218213214215217215211207209210210212211211211213214216217222224223223224224224220219220223222224223222217214211209208206201193189185184186185187187183182179178181176180178177179185183185183181181184183186186189194192194199201202202202202201199198194194196199199197196196198199197199201206207208208210208214214214211214215214212214215216216217218217216216214215211208209212210213211209209207204202201201201200197199197194193195193194194193191190190193194191192191191191192195193191194195196198201204207210211213216218218217217218216220219217218218217217218218216218216216216214213213214213213212213214212211212211210210210211212212213213212212212212211211210209210212213213215214215216217218218219220220221218221222219219218220217217218218217217216214212212212212211 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266267268267265267270269270272272271271272274278999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246242240241239239240243240242239237238240240240243243244244246244244243246248249246241243246245241245245240248243249250251251250251252252252252252253247249249248249247249249249250249253253253254252253255256256256257257256252256256255255255254254254254255255256257256256256254258257257256258258261261257258259259258257260260260260260260999999999999999999999999999999999999999999999999999999204204202197200197193192193194195197195200197193188185190186186190196197201197197200198205205209207206203205200202204201200200199195202203199201204206205203203202201202202200204208205205204203206214215219223225225226229227227223224226226222219215220212212214215216216215217220219211211207204203204205201201201206204212210214217223224221222221224222225228226222219213223227218226220222217216217219221215212210210211212214210211212214215220221224225226224224224222221222223223224222219215213210208200203199193188185186186187184181178181181178182186182182184188185181181178183186186186185187190193195199202203204201202204204202202200200198199199196195198199198199199204207207207209209209213213213212212212213214214218216219216216217216216212212214211212212211210211214208207204201202197198201200197195193193192192191192192192190191192192193192192192194194194194192196196202201204208210211213215217219218216217217217218220220220222219218218220218217217218216215215214213213212212212212214211211212212214212213213213213213213213213212212211210210210213214214215215216217218219220220221220221219220220218220220220218216219219219218218217215213213212212 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265265267267266268269268270268268268269270271273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247246245244244244244245248246243243245247242242243243246247248245245246244247247250250248249248248244248247246242242247249252252250249252253253253252249248250250249249249249254253249250254254254254255253249253253256258257257255257256256256256255255255254255255255255256255255252258257258259258260263261260259259259258260261262262259260260999999999999999999999999999999999999999999999999999999208207209203203197197193192194192196199198194193191186186188190193197197200198199202204207207211213212206208208206206203201201203202200204203199205205205207207207208209209206206208205207210209215216216220225227227227226226227223224228225220219215215213215215215216216215216216219216218215208207204207206205202205207213214221219221224223227219221225226226227227226227226225223225224223219220220221218216215212211212211211212212213215216219217224226227227226225225225224224224223220216214213211210206204202197190190193190189186183182185183182186189185184185189190184182181181186191190186194192197201202209204211203201207205204204202203201201199198197197199198198201204205206208208211214213215213213213216216217218219221218219220215216215215215213212216214210211211211211207205201199199198201201198196194195192190192192191193193190191193191193194195196196195199196198201203208209210212212213216216219220218218219218220220223223222220220219219219219218217216215214214215214214214214214214209212212212214214214214215214215215213214212212212212211212214215215215216217219219220221222222222221221219219218221221220218217222222222220221219218216214213213 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272268261262265267267267266266266265264265267270272999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256252250249245248251252252249248248242243249250247245245244247247245244244246247250249249250249248250249249250248246245249250253253251253254253253253251249247250251252250251254254254250251252255255256256257254254255257258257257257257257258257257255255256255256256257255256260254260261260259259262264265264262262262261260263260260264262261260999999999999999999999999999999999999999999999999999999999212211203203200193189195197198199196195191191189194195191195196196196198201203205205206207213211213210209206206204205205203200205204203200201206207208209211208211209212214212211208211214217218219221225229230227232233229229224228226226218217215215215214216216218217215216217221220222219216214212210209210210209209219220219221224223222223225220224222224225226223221226223222222221221221222222221220217216214212213213213214216213213217218221222226227229226225224227229222221220217215213213212207204204204194190189191192190188188186184183182186186185186185185186186182185181190190191191195195199198206206203207211208207206206206204203203201199199197194198197199198202204205207210213213215216216218216216217218220221222219221219219217215216215213213214214211212212210208206203203201201200203201197196194194193192192194194192192190193194194195197197197198199202204202203204207208210211212213215219221220219218217217220223224223221221221220219218219218217216214213214215214214214213214213213212215215215214216215215214214215214213213212213213214215216216216216216218219220221222222224223222220220221221222222222221220221223223220222219218217214214214 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273274272272268266262263265264265265265264264262262263269273999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255260261260254251249250248252251250250251246252252244247247247247245246249244247246248251251252252251250249247247250250249246246250252252253253253254252255251252250249251251253253253255252251251251252252253256257257254254259258258257257258256259258258257256254256256257257258256253254258259262261261262263266267267265265263263263260262265264263262260999999999999999999999999999999999999999999999999999999999211208201199202200199197202200197192195193193195197195192193197197202200202204204205205205213214214210211208207203204202206204203205203204204207207208208206208212210211207211214214215214217220222223225229226229230231230229227220225223218211216215214215215218218219218220219219220220220217215209215210214212218220223220217225226220228226225225219222221220223225220225225225219216220222221221221222220218217216216213214215216213214216221222223224226229228226224225224222220220216216213211209208207207204200193191194193193191189186185185184186187186187186185185189187187186186186188195195195199202203203204207207208206207207207205205204202200198196195196197197200201204206209212213215217218216216213218221221223223222220220220218217216214213211213214211215214211212212208205204203202202201201197195193195192191192193195195193191193194193194198200200202202205203201204205206206210210211214216219221221221219220219222222223222222222222221219219219218217216215214214214215215214214215215215215216215214215215215215215214215215214214212214214215216216216217217218218220221221222223222223223221222222220220220222222222221222220220218216217218213217215 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274271270268267267267266264265265264263264264263260259258263269999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262260260260259260257257259253253252254255250254249251249254254254253253249249250245248247249253250252252252255255254252252253250251253247249253252252252253253254254251251252252252253252254257253253253253253252252253253254256255255257259260259259259260261261260260259258257257257258258256256257256258257261263263266267267268269267268267266265263263265266265999999999999999999999999999999999999999999999999999999999999999999206203200203203204199202202200201200199201207203199193195199201203208207205207204203204209215213211213211207205205201199202199205204204206208209208209206209212212211210214218216219220221223225230229230228233233235232233230227223223222217217214217215218218218220219220220220221223221219216218214214221222223225226226226227228226226227227226225225225225224227227226225224224222222225221221221222222220219218217213215216216216215215219222222224225226226227226226226223221219217218217217212208206206208205197197197197201191197190188187188189190188186188188189190189188189188189189193197199201206202203206209211210207208207208205205205203201201198199196199199200204204206208211211212215215215217216221217218219222219219219218221215218215212214216215214217213212211213210209204206205203200200197195194194192192193191195195196195196196196199200202206207206202201203203205206208210212213215217219220222222220221222224221220221223222220221221219220219217216215215215215216213213215217217217216216216216216215215215215214215215215214214214215216217217216217217218218220221221221222224223224223222221220221222222221223222221219220217216214217216216215 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275273271270269269268267266266267266266265266267266264258257258999999999999999999999999999999999999999999999999999999999999999999999999999999263264999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259262262260260261261262259258259255257257263262259258254253253256256249250248250250252251251251251253254256257254255253254255254251253253250249253251253252251253254255256255253252252257257255254254254254255254255254255255255255256259259260257260260260260261261261261261261260259259258258259259257255256259259259262263265266267268267268270269267268265264265266265265265999999999999999999999999999999999999999999999999999999999999205203202201202203203202201201203201203206205206206203208206209212213213211217214209207209215214210212211211210205204201203206205205209209207212209205204208212211211211214222221221220221224227230234232230237239236234232233230224225221219217214214215216216218219218220219221222223223221220222221223226227227227228227223226226225226226224224225221220221223223220223221225222221220221222222220222222222221219214217220210212215215216218222222223224227229229229228227225224222221220220220219213207205205201197198198197194193192188188189191187190187186189190192190192191191195195197195194199203208209209209209210210209212209210208206207206205204201201200199201203204207207208211210213214215214218217219215217219219221220219220218217216218215212214215214218216214215213214212211207206204202200200195194193195192193193193198198196200201199199202205205206203201202203204206208211212213215216218218219221220219222223222223221221224223221220221220220219216217216216216217216216215217218217217217217217217217215216215215215216216215212214215216217214216217218218217219220221221221222221224223222220220221223221221224223223223222221219218218218216220219 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273272271268268267268269270270268268268268267268268265258256260999999999999999999999999999999999999999999999999999999273269268266271272273272269265264271268999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259259262263262262263256263264260264260257260257260260257257255256255256254252251252258256255251250252255256258256256256255256256255254252255253254253252255254254256257257260258255254253253258258257256255256256257257256257259256256257258260260255256259261260261261261262261261261262259259259259259258256257259257259263264266268268269269270269270271269268266266267267266265265999999999999999999999999999999999999999999999999999999999203204203203205204204205204199202201199200202202200206211215216216213217216220219218217214210212212211212211211213208205206208203206204206208209210210211211213213212219215220220225225223227233230232234235240239237237235238229224224222220218217217217218220219224221219221220220222221220221224227229229230227230229227227224226225226224223223225223225223226226224225220223224220219218221222222219222222219217215210217217214216216217217220222223223227226226228229228226224223223224222221220214208208209204199200200195195195193192191191194192193190189192192191193193191194194194196196199199204207210211210210210213210213213213211209208208209208206205205204205205206207209210210210213215214215218218216216217217220223217218220218218217217218216215217217219217217216217212212210209204202202199198199197196197195196193194195195196198201200201202202202202202204202204206207211213214216218218220220220222219222222225221223220223223222220221220220218218216217216216216216217217219220220220219219218218218216216216216215213216216214213215216215215216218218218220218220221221222222220221224224224223221223224222223224224224223223225222221221219222223221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275273269271269267267269270271271269269269268268268266261252256260261999999999999999999999999999999999999999999999271270273268267266267266266267266266267267268999275280999999999999999999999999999999999999999999999999999999999999999999999999999999260259261262265265265263264255264266261266262262260259259259262260261257255255255252252254258257258255257256256254252256255254257256256255253252248252254253255256258261259259260259256254255258260259257257259258259257262257258258261259262261261261257260260261261261262262262262262263262259262261262262263260260259262261265266266266266268269270270271272271271269268267268268267265999999999999999999999999999999999999999999999999999999999204207203202205203204207207204205200198200200204207218221217219218213216217215216217217218215213213211210209211211207209207204206208208207209213215221218213210210215215217222225224228231229233234232237240240245244244241241238228221222220219218221219220220223217218219222220221221220221223229228230231227225228226225229228225226227225225224227227225224223224225224224221224222222221218218220221220221220219216221217218219216216219219220222222223226224229226226228230227228227226225223221214209208208206201202203199196196195194194194191193196190193195195193192193193194193194194198200200204208211212210210213212211212214215214212211210211209209210209208208209208210210210214212214212215214216216215214216215219217216219219221216218219216217218217219222217217215216218213212209205206205204202200199197200198195195197197197199200200201202201202205204205205206207211214215215217219219219220221221222224223223224224222223222222221220219220220218218214215217216217219220220221222223221221219218219219218217217216216216216215214215216214216216217217219219218219221222223222222221224226227226224225224224224224224224224224224223221223223224222224223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275270268269269268268270272272271270269269269268268264260259999999999999999999999999999999999999999999999272270268272275271265264263263260261262263265263265267268272276279280999280999999999999999999999999999999999999999999999999999999999999999999999261257258260260260265263256257267268268267265265262264263263262259263258256255255258258260259258257259260259259257257257256258257257257251252253253252256259259260263263262260259257256256259261261259260261259262260264265264262263262262263262262259262260259262262262262262262264265261262260261261263264261261262264261263266265265266267267269270267270271273272269270270268267265999999999999999999999999999999999999999999999999999999999999207206204204202201199206206204200201204204209215219222219220219218220219220218215214212217219212214211209209210212208211209208208208211212212216223218216223223223222221226228228231234235237236239240244243247245243242235233223224222218218218219219221223222221220224223224224223226229228230230230228229228230229230230227228229227220223224224223224224223222222223225224223224222222219219220224222223222221223223222224220220219219219222222223223226224224225225227230231230230229227225223214211208207207205204200198197195196194197196195194196193194197197195193193196196195192197198204200204206208211211212212213213212213215215213213212211210210211210210209209210212212209211213214215214213216218218220217217217218220218222219220217221221220218219220223219217217218219217215212211206205204204201203203203201199199199200200199198202201201201201202205207209210212215216218218219220221222221222223224225223225223223223223221222220219219220219218218217216217217218220221221223224224223224221219219219219219217216216216216215215216216216217218219218219220220221222223223225225225226227227226225226225224224224224225224224224223223223224225223222222 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271267267269270271271272273272271270271270268265263262257260999260999999999999999999999999999999999274275272269269272273268267269268266265264259257259259259260263267272277278275281999999999999999999999999999999999999999999999999999999999999999999258253254256264265267267267268269263269269268266269266264262264265262259256256257258258258261259260260260260259259258258260260260258258259258256254254256259261262264263264263261262259258257261262260259264264262262263266267267266264265261261263260261262262261262262262262263264265265262263264263263264264265265266266262265267267265267267268265267268269272273274273271268268267266999999999999999999999999999999999999999999999999999999999210208210209208204203200207207204204201212218217217223221217218220220219219221220218214217210218215214213210210210212214213209210211212212211218223225223221225225224224227232233233232233237239236235239245248247249248241236233230227225223218217218219223224224226226227225226229230230226229229231229228230232230230231229229229226225225224223220221221220221220222223224223221221221222220220222223223223218221217221222221222222221219220221221222223226224224227229229230231232229230228226218215211207208207203203202201198197197198199199197196195193196197197197196195195194197197199198202202205206206209211212212213213212213213214216214212211211210209209210208210214211212212212214215214214217218220218218217216216216218219222221221221222226223223222223224222219219220219217216215213212210206206205203206207203203202203203202205203203205203204206208210214215215216216218220221221221223224223223224225224224225224224223223223222220219218219219218218217216217217221222222223225225226226226225223221218218219216215217216216216215215217219219218219217220220223224224225227228228227228228227227229228226223223224224225225225225224224223223225225224221 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273269268268270270271271272272271268267269268265263259258255254262269279281260999999999999999270270271264267270272274274272271271272273273270268263260256256257258260261267269271274278278999999999999999999999999999999999999999999999999999999999999265263260255262263266270269272271272265271272274272268269268271270269265260258259258265261262263262262261262261261260261259257260261256254258258257257256263262264263264265264261262261262260262260264260262266264265266268268267268267266265263263263260262263263261262263262262263264266265266265265265264263266265267266267266266267266267269268269266266270271271272273272272270269268999999999999999999999999999999999999999999999999999999999217213214216206213206204207210207207206205217214217218221221220218218218219220222223221218212216220221216214213211214213214211211211213212213213222226227225228230228231231235237236235235235236236237237237244244248250249250244241234230229225223223216219223225225226226226227227232233232229233232231230230229229229230227226228230226226226227224222219217222219220219223224224219221220221222222223224223225225225219225223223223224225222222222222226229227225225227230230231234231231231229221219213207207207207204204204202201196200200199200195195197195197200199199197196194195196196197196202203201204205208209210213213211213215213214215216215216212211210211210211212212213213213214215214215214218220221215215216218218219219217223221220220224225222223227225225224223224220222220219217215214213212209209207208208208208209211206212207208208212209210214214216219219218219220223224223224223225224225225225225225226225225225224221223223220217218219219219218217217218219222223224225226226226226227227228225222221219217217217215216215216218218220221220220222224226227228227227230230230228228228227228230229228226225224225224225225224224224223223225224224223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273272270270273273271271270271271270267264264265262258257256254254265272272278999999999999999265262263265264264268272274273274273274274275274272270267266259258258256255256259261264265272276999999999999999999999999999999999999999999999999999999999999262260259263262263267267270266267269269273273271270271269272272273269264260265259260263263263262263263263264267264264263260257264264262258260260256262260262265264263264265265262262263262263263264264261262264265264265268269266260268267265261260261261262263262262260262263263263265267266265266266266265265265266264265266266265265267268269267268267270271270271273272271271271271999999999999999999999999999999999999999999999999999999999999215210219223221218217216215212207209208211217217218217219220222220216215222220221221222221216217219220218217213214211211213211212212214215214215224229230229230231232234236238241240238237239238240239240240241244249251249249244244238227225224223229222224221222223223226228229232233233225233230232232232229231231230230229229225226229225227227228227224224227225219222225225224222223225219227227228229225226225226223222223225225225226227226226228229228229229228230231234231232232232231231230227220213208206207207205203207199198201199200197198194198196198200200200197197196195197199199197201201202204205208206210212212212212213213214216214215216213212213214213215214214215214214214216216214216217220221220218217221222222222220222221220222225225225226226224223225225223221222221223219221218214214214210211214211213212212213213214218214218219219216216220219222221221222224225225225224223224224224224225224224226226224223224223222224221218219219219218218218219220221222223224225225226225226227228229229226221221219219219217218217218218219220221223223223225225227228228228230230231228229229228231230230229228227225225225225223223223222223223224223224223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285284284999999999999999280999999273272272273273273272272270271271272271269266263262261260258256256253256267275280999999999999999261261262260261262266269273275274275275277278276277274274272270262257254250250250252253256261264999999999999999999999999999999999999999999999999999999999999999999999261260262263266266269271272269271271271269266268272270270271267266263262258262259260263263263262265266260260262260262262263260266265265265264265266266262264264266266265263261263262260263264263259261263266265267268266265266266269267266262260262262263261263262263263263264265267265265266267267266265266264264264264266266267265267269269267266270269270271273271271270271270999999999999999999999999999999999999999999999999999999999999210209222227227222223222219216222217215218217220221220222222220220223224223221222220221221220217218221218220218217215215214214215216219219219220229231230230230230234237236239240243243243242244245245247244248250251251250247245243236233231230228228225227222220223222225230233234229232232232233234233231232232232232232230230228228231229229230233232226224224223223225225225223224224226228231229229229227225226226226226226226225227227229227231232229231234236231233234235235234232231232232232228223218211208207207202206208205204203203202201200199202199199200201201199198199198195197198197201200203205205205207212213214214211212211212215215216216216216216216215216215218215217214218218218220220222223218221223222222223222219221221221220221223223222224223224224224224225222223223223223224222220217220218218221217220217216219222222222223224224224219219222223224225226223225225224224223222223223223222223223224225225225224225223223224220217219219218218218218219221222223223224226225226225226228226227230229226224221220220219217219220220222221222223223225226226227227230231232232232230230232232231231230230230229227226224224224223223224223225225224225226 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283284283281999999274281277280273273272273273274273271270271271272272271268266262261260259257255252254258269275999999999999999257262263264264264261266272272272269279278279279278277277275274272270261256249247245247249254266273999999999999999999999999999999999999999999999999999999999999999999999999999261256264266267269273275275275273274275274271271270269266271267270264268261266266265265266268268266263265262261263264266266267266268268263263266265264266267267265263261262263261262260259261260265265266268267267267265266266265265268264264263261258260264262264264264265265263265266268267267266265266265265265265265265265265268269269269270270271272272272272271270267999999999999999999999999999999999999999999999999999999999211217224227232229223220220219218218221217219222223226223225224225225225225224223223222223221221217217219218221221218218217218218219218222221222225234235233232230233237237239240240242241243242244250250246245252249247251250245243242236234234232230228229224223225225223225226228232234232234233233233234233233232232234232231232229225228226227223226224227224225225225227224224224225226226230233230230231230225226227227225226226226228230230230233234233236237238235237236234233234234234234233232233226221213208208205205206208206206205204203203203201202199201201201200199198199199198196195198199198202204203203205207211212213213215212213215213218219219221219217216219219218218219219216218218223224224225222222222223224224223224223224221219221222221224223223226226226227225224224226224225225224222221222223224221221222221224221224225225224224226225223224224223224226225224224224224224223223224222223223223223224224225225225225223225225221218219219219218219219220219221223222225225225225226227228229228231231229226224223220221221220220222221222224223223225225227230231232234233233233234233234233232231231230230229229228226226226225225225225226226226227228 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282281283282279277277274270271272272273274273274274273271271271271270271270269265262261260260258252250255999999999999999256257259261263265269268270270270275275272272278278278280279279279278275272271266260249245245246251259271999999999999999999999999999999999999999999999999999999999999999999999999999999999262262264266269273273274276276273274274269269269268269271270270270269265267266266266265268268266266263258264265266266267268267269265261264267265265265267266265264263264265265262259259260262264263264264266267266267268267268267270270269269267263261265263262262262262264268268266267269268268267266266265264264268266267266267270268271270270271272270270269270269999999999999999999999999999999999999999999999999999999999213227230230237235238224215220221221220220220222223227226226227226228228227226225224220221224222223222221216219220223218222220219220223222224223224225233235235237237238241241241244245244245245245244246246251253251251251253251249249243237234233233230231228227224225225225226226223225234236237238236237235237234234234234232225226226223226226231228229232232230227226225225226226227228229230230229229231228232228228228229228228232232231231231231239236238240238238238238237235236236235235234234233232232226219215212208206206208205205205206205203203199201200203205203201201199201200198197195196196199199199205205206207209211210214216216215216215216218218220219220220219222222221221220219221223222224226228227222225224224226225226225225223219221224223223223224225224224224228226224226229227227222222223226223224224227227223222222227225224225226223226225224225225224226224226226225224224224224222222223222223222223224224225226225225225225221217219219219219219219221221221223223225225225226227229229230231231231229228227226222222222222221221222222224223226227227229232233234235235235235235235235234233232231231231230230229227228227227227228228227228228228229 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287285283282282280277275272270272273272273273274275275274273272271271271271270269266262262261261261255249999999999999999999260263263267268271274275274275275275275276277277277278280280280280277275272271266256246244245245254268999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261267268271270272271271271271271271270267269268267265269265265266266268268267265267267267265264261263264264268269268268267268263266268266267266266267266266265265265263262259261261262264264264263266266264268269269269268264268270269266266266269265264262263263263265268266267268269269269267269265265266266267270268271267267269269272272270270270271271271999999999999999999999999999999999999999999999999999999226231233234239239234232222227227224220220222221226233232231231229228226228229228227225227226226221227222221222221223223222225223225227227227226225223225229238236239240241241243242244246246247248247246248249253254256258256256253251251244239233231232230230230226227226227226226230231228232233234235239238239236235237235235235233232234232231230229229229230230229229227229225227228229231232230231232230231230230231231231230232233232235237235234236239241239240239239239237237238236237236236236235234233233233227222218217211209207207207207205207204203202203201202205202201202201202203200200198197198201202201209209209209209211211214215216216216216218219219221221222222221222221221221221222221223227228225226226224225223225225224226226225224221219222223221224225223224223226224225227225228226227226224224223224223223225223224221225226226226224224224225225225224225225224224224225225224225225224223223221223222222222223223224225225225225225224220219219219219220219220222222224223224225226227229230231232232232232232230228228228225224226224222224224224225228231230231234235236236236236236236236235235233233232231231229229228229228229229229229229230230230230230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283284284283282282280278276276275275275275275274275274273273273272271273272270269267264262262262260259261267267269268267268271271272273276277278278280280279280279278280280281282281280276276275273269262253245243245248258268272258999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265266269268268268269270272272271270269266268266267268270270270267267269266264267267267267265262264265265266264267267264264268267267266268267268268266266264265265264263259259262263264266266266266264267266268270270270268268269271269269268269268268266265264263265266267266265265266269271270271266268270268272271272269269270273272274272273273273273999999999999999999999999999999999999999999999999999999999228233232236241241239238233232232235234233232234235235234234233232230228229230230227225229224223221221223223224221224225224226227225228226229230225223224229233235239242241241243242245247246247249253253256256256255249251257259257254250245238234231230231230230228228228230230228228230231230234232232236237235235235231234236234233233235232234236230231231230231231229229229229224225226231230231232224225227230229232234236232234237234237239241239241241241240238238238236237236237236236236234235236234235233233231229229222216215214207206207207208205206201206202203205201205205204205204204202201200199198201204211208209209212215217214215216217216215217219219220218220222223223223222221223223225226227227227227227227226227227226225225226223224224222223223223222224222223223226226226228228227230230230226226223229225229227228224226226224223223223223222224224225223222224224223224225225224227227226224223222223222223224223223224224225225225225225223219219218219218219219223222222224224226227229231233233233233233232231232230231231230229229228227226228230231232232232232235235237237238238237238238237235234233233232232231230231231230231231230229229229230230230230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282284284282280281281280280280280278278278277277276276276276275274275274273273272271271268267264263261262262264269273274274275275275276275275275275277279281282282281282280282281282282281281281277277277273267257248244246252256262257999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265266266266268270270272271269268268266267267264267268265269271269267266268267268267263263265265265268262267267266266263267268267268268270270269268266264267264264263265264265264265265265265266266266266268267268268268270270269268267271270270272268267265266266266265265265266269270270270268269269271272271271271271273273274274274274274274999999999999999999999999999999999999999999999999999999999221227232234234237240240238234233231235236236236237238234235237237234228224223231230228226227226226225225226222222224223224227229229229229230229230229227227228231240240240241242244243248250254254256254255254255257259249251248259256254249244239233232233232232231231227230232233230230231234236230232229235235234233235234234236235232236236237237240236235236233233232230231231232227231231230230231229229232233233237234237237235238237237238241240241241242242240239239238237238238237237236237237237235236236234231231230230224226220225214208210206206202208202206208206205206206205206209210209208204200203203207207207208211211211214218216216217216215215215218223225223223222221223223222223227228227229229228230230230228228229228227226227227225224225223222222221220223223223225226229224227228228227229231228227228228229229225227226225225225222221222221221222223223222224223224225225225227228229228228229224224223223224224224224225224224224225225226225221219219219219219221223223223224225227229230232233233233233234234234233232233233232231232233232231233234232235235234234236237238238239239239239238238237236235234233233232231231231231232232231230231231231231231230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287283280280277278279279279280280279278278277277277276276276275275275274275275274272271270270267264263263268273276275275275276275275275275275274275278282284283283283281281277276279282282281278278276274268262250246249250252270999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262265266267268270269272269271267266267268265265268267266271269268268268269269269267266266265266268269266266268268268268268268269269271270267267268267266265266264267265262261262264264264264265265265264266266267264267270269270268268270270270270270268268266267267265265266267267267269269270271270271271271270270271270273274275273274274273999999999999999999999999999999999999999999999999999999999226226225232237239236239241237238238239236229237239239237238240240237234225231230232230227225225220227228228227221224225228227229230230229231229229230231229228232239244244246245246249254257257259261257255255252261258248249250257258254250246241235234234234232232233231231233233235233233237236238237231231235237235237236236237239238238239238238239240238234235237233235231233232236234232230228231230231235237237238237237237238238233238240239240241239240240240240237236236239237235233233236236234233234234234232232231231230227224227224224216212209205208204205206207207211213217214208211212211207207203205206207209209210212212212213217218217216215217217223224224224221220222225224224226226228229229231229230232234231229232233228227227226228226223224224223221222224224222223225224226225227227228229231231230228230229228228226226225226224223222221221222223224223224225223224224225226228229230230230230229229228227226226225225226224224225225226225226223220219219220222222223224225225227228230231233235235234235235235235232234235234234232234234232233235235235235235236235237238238239240239240240239238238238237236235233234232233232233233231231231232232232231231230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286281278279278276276275275277277278278277277277277276276276277276276276276276275274275274271269267265264269274277278277274275276275274273273274275277282283284283283283282281280281280280278277276276275272264248249247248999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263267267268271271272271270268267267269268269271267267272270270268269269269268268269267267269269266263264264264269269269269270270272270271269271269268266264263267267262261262264264265265264265265266265267265266268269270273272271269269269270270269269269267267268269269268266266268269271271272270270271270270270270271273271271273273999999999999999999999999999999999999999999999999999999999999228225231236238241239243239239240242243241239240241239240241242241241240237232229233233232232232229229229226227226226228231230231232233233234235234233234237236236241248249248250251252257259259258258256253257255257255256253256252253253252246242238236235236234234232232232234236235238234238236238236237236232238240241241241241238241241242239239240239237239237237234235234233234234233231231232233234234236236239239238239237239238238238239239240242240240239238238237237238239234237233234237234235235232231233235232233231231228230230224226222215212208208207206205205209213213216216213210213213211205207209210210210209212214214216217218219219218219218218221220223226222221224225226225228227229230231231231232237234232231231232233232229229229228225224224223225222226224222224224224225224225228229229231231231232231232231231230228225223223223222222223223225223224226225224224225226228228230230231231231231232230229227227227227227226226226226226226225224220220221220221223224225226226226228231232234236236236235235234235235235235234233235236233235234236235236237236236238238239240241241241241241241239238239238237236235234234234233233233232232232232232231230230230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281277281278277274274275275277277274277276276277277277278278277276276277277276276277276269263261265266270272277278278276276276275272274274272272274278281282282282283283283283283282282278280279277274270265257253250249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262266267269271272271271270269265269270270272271269266268266270264271270267268269269270268269267266265266267265266269271270271271270270272271271271270267264264263265262262263265265265265265265263264264265265265267265268269271271269268270269270270272270270269267268270270268268269268270273273273272270272273274273272272272274273272999999999999999999999999999999999999999999999999240237233999228226226237236235236243235236238235243240238240240240241241241235238237235238237236235234233231234229227229227227226228232232233238239238238238237239236242243246248249252251252251257257257258257254253252252251251253253255249254251254245245240241237236233235234233234234234235236235237237237238236236232235231232237241240240239241237235240241238241242240239239240231231235234233230232231234236237238239233240239237237235237234240238237239241243242240238238243238238236237238238237237238237237235235235235236235234231231232230226230229228219218215217211210207212210215214215206208216217215215214214213211215215215216217221217217218219220218219218220221225226223224222223224226227228228229230232233234235238238238237238235232232232231230227227224225222222222224223224226226226226225224226228227229229231233233234232233232229227227224222222222221224224224224225225224224225227228229231231231231232233233233231231230230229227227228227227226226226225222220221222222223225225226226226227230232235236236235236236236235235234235234236234236236235235236236237238237238238239240241242241241241242241240239238238238237236236235233235234233232232232232231231232231232 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282284283280279279279280281276273274274275277278279279279278278278279279278278278275268260261269271268273277278280278277277276275275273273273274276279282282283283283283283284284283281283282280274273266262255252254999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265267264270271272270270265266270269269272272271260263266269271273269271270270267270267267265265265266268266269270273273274272273273271272272269268265265265265262264265264267266266266266265264262265266265265265264267267268269270268270269269269271269269270267270271269269271270269270273273273273999274274273273273271273274272271999999999999999999999999999999999999999999999237237237237246233230233235240241243242243240241239240241236243242242242243243242238238236242241233234238237233230233232228232229228231234234237239240232239239239242245246246251252251251253253254258258257257256253249246247243244245250252251256256252248245237235233238237236234233234235234236237236237237237239239234238236239239239237240241242241241240240242242240238237237238232233235233235229231236233233234236238239240241238236236232236235238238238240242243242242239239238240238236236238238237240237234234235235234232234232232233233232232228230229225221220220218217214214211214213214220210212218215219216217214213217222215214219218218220219219219219219219220224224225227225221222222225230227228230228233235235235234235238239238233235238234235232230228227226223222222223222223226227224226227227225224227228228230232233233234233232233231231231228226223223222224224223222224224224225223227228231232233231232233234234233233231231231230227228228227225225225226225223221221222222224226225226226227228230232235235236236237237237236237235237237235237237238237236238237237237237238239239240242242242242242241241239238238237237237236236234234232233232232232232232231232232232233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286290287285287288288999278278275274278281282281282281282281280279278277276272265263262268273273271272275273276275275275275276274272271274274275281281283283283285286285284284284285284280277273270264252252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259265267268265270270269269270273271271272272271265262269269271272271271269270268270268265264265269269269267273273274275274273271270270271270270267266265266266267266265265266265264264264265263264265266266265266267267268266269271272271270269271269270270268268269268269268271273270271272273274999999273274273272273274277273271999999999999999999999999999999999999999999999244239238235236235234234233237242242243244243242238240240242240241243243244244243242240239237237243238242241241238236238239239237236236235238240242239237235241238244245247246252253252252254253254258260259255254250248244243241242242243246250253254247252252244241239238235238239236235235234235235237238236236238240240240238239238239241241242241240241241242242243241238241241242242238240241241241236241236236234232233240236234237234234234236235238237238240237242242242241240239239237239239239238238235240238235235234233233233235233235235234235233232233232230223226222221217219215216217215219222221224223223223220220219216216219218217223217220221220223220219222224221222223223222223223222224227226230230232232235235234235235236238235235236234236236236235231230229227224224224223225225227228225224225224225224227224226228231232232233234236235233234235233229233229227227225225220222222223224224228230232234231232233231235236235234232231231229229227227225226226226227224224222220222223223226226226228226228230233235236236237237238236236237236236237237238238239238237237236235238238238239240241241242242242242241239238238238237236235236235235234234233234233233233232232233233233234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283280277280282282283284284284282282282280275271269266262257264269270272270272271275274274275276274273273272273275273280282283283284284284284284284285287286284281273270265252252254258268999267999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262266265265269262270269269272269273272271272269269266266269270272269269272271269266265265268269268270270271274274274273272269270269269271270269268266266266266268265265264263265263265264263264266266266266266266268270269274273271271270270267268269270269269270270271271274271271271274275275999999999274274274274275275272999999999999999999999999999999999999999999999999243241238238238236234235234242243242244244244243244245244244244244243245244244244242243242242242243245245244243246245242242240241239239239243245240240239240243244246247249254253254254254255256256257253253249247244244243244241239241244245251253254252254252246241242239240238237237238232232237237236237238238239240239240240241241243244244240241238240239241243241242241239240240240235238238237237235235235233234234230233234234233234235232235235239238237242239241243242240240240240240238237236236233231230228233233233234231233233233232235235235236233234233230229227226223220217219219220221222224224226226225224220221218219220214220218218219220220220221222223222223222223224222223224225225227229230233231233238237237237238235237240233236236238239238238236235232231228226224223223225223224226225225224224226225226225225226227225230231231233233233233234234234233232231231229226223224224225225225227228230232233233233234236236235233232231230229228228227229228228227225225224222223223223224225227227227227229231234236236236237238240236238238238238238237239238239239238239238238238237238239240241242243242242240238237237237237237237236235236235235235234234234234234235234232232233234 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282281281284285285287287284285284282279277272270267262260261264266268270270269270271273273275275273273272273273273279283282282283284285283283284286287286286283276273270268255256257266999999999999999999282999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258260264263266270269268270268271271272270267268269268268269269270270273270270267270266268268268270273273271275275274271270269270270272272267267267266265266267266264264263264264264266265265265265266266266266268269268272273271271269269268267270270272271271271272272274270271271275272273999999272271272275274275999999999999999999999999999999999999999999999999999999242242240240236233229229236242240240238241243244244245246246244243242238239245244243243244243244245245244246247249249249247244244243241243244244241241241240242247248251253254254255256256258255254254252246248251248242242241241241243241243246250252253249249243237236239242240234229235234236238239238239239239239239239239240240240243240242243243239243241240238242240241241241239243239235237239238238239237239236235237236235231231232232235237237236239238240236240242242242243239238237238236234234233232230230231232232233231232233233233235234234235235235235234233231229225223221221221220223224225224226225223225224221222219219218220221219223219218222222220221222223224225226223225225227228229233233233233237239239237239236236239237238237236236241237238238237234231229227225221222223225224225226225225226227224226226225225225225227228230233232235235235233236236233234233232230231229227227226227228229231233234233232234237237236233232230229229229229228229229228227226227225223222223224224225226226227227229232235236237238238239239239238238237236238238240240239240240240239239239238239240241242242242241241240237236236235235236236234235235235235234235235235235235235235234234235235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285288286289289289288285284285282280279276274268999999262263265267269269268268267269270272273273271271272272274277280281282284285285284284284286288288288287286281275268261261256257259272999269269280282284279280999273281999999999999999999999999999999999999999999999999999999999999999999999999999259257262266271271270270268269272272271275271275267268272270270273272270271269272269268270270271275275276276275274273270270269272272269267268269268268269267266264262262261260265267266266267267266266266268268267270270271270271270272272268269271271272272273271275270269272275276274274999272272273274273999999999999999999999999999999999999999999999999999999999999999237239236232233229226234241240241241241241242242242244244244244244246246245244244243244244244245244244246246248250249250249248242244247246242244244245246248250250252254254256255257256259257259248248246247246243246245241242242243242245250252252251250245242245237242241246244244241240239241244242241240239241239239239239240240241240242242242245238239241243244242242241241242242242238239241240239239238235239238240239238235233233234235235237238239240242244243243244241243240237236237235234233234234233230231232233231231231232233235235236235235236235235234234231232230225223226225224224225226225223223225223223222222219218220220224222224222224225224221222222224224224224224225225227228230233236235236240240236239239236237235236236235237236236240236237236236232230227224220223223225223225224226227225226225224225226226226227228228231233233234234235236233234236235235234232233230230231230230231229229230233232233237237238236234230228229229229229228228229229227227227225225224224223224225225226226229231233235237239239240239239239239238237238238241241240241240241241240241240241241242242242242242243242240238236235234235235235235235235235234234235236235235235234235235235235235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282284293291292291290289287287286284284283280999999999999999262263267268269270269271268268269269271271271272272272274278280282283284284285284284285288288289289288288285278270266266256255263269269271275278281280279278278277999999999999999999999999999999999999999999999999999999999999999999999999999999258266270269267270270270269271273274275277271268268269267270272268270273272269270271271272274276276276276276275274275272271272271271270271271269269268266267264262262261261262263266266266267267268268267268270272271271269269270271271269270271271272271274273275273271272274275274274274274275276283999999999999999999999999999999999999999999999999999999999999999999241241236235231231230237240240240242241240241242245246246246246245246244245244247245245246245247248246246248249250250250250251251249247247249244247248247250250251252256256258258258259258255253256249246244245243245245244243243245247247252254254249250242248247248250251250250248246247246247245243243244242240241241240240240240240238242243244242243244245244243242240241243242243244242241242240242241239239239240240240238236235236236238237237239240239239238241245244244244242238234236235233234234234233231230231231232232231233232234233236234234234235234235234233231229228227228227226223226226225223223223219221220219220220220222221220221223221223222220220222223224224224224224227229229236235238238238236238237236237236234235234235235237237237236239237236236236233230225222223224224225227227226227225224227227226226226228227226228232233235234234233236236235234234235234235234233235233235234234231231231232233236238237238236234230230229230230229229228230229228227227225226226225225225226226227228230233235236238239239239238238238238238239240239241242241241241241242242242243243244244244244244244243242241238236235235234235234234234234234235235235235235234235236236236236236235 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296297293293292291291290288287286286999999999999999999999999999273272270271272271271269270266269270271270270271273277280279282284285285285285285287287287288289289288285280275275266260259263266270272275275275274272274274999999999999999999999999999999999999999999999999999999999999999999999999999999999265267264270271270269270270274275278272272269271267265267272270270270271270272272272272275276275276276277275277275275274274273274274275273270268267266270265267265264263265266265266267267269269268270271274274273271268270269269269270270271272272272273275275273271273274275274274274275276279282999999999999999999999999999999999999999999999999999999999999999999234239234233236232233234240241239239241238241242246246249248246246245243241246245246247247248248247245245248251255251249249252249251249246248251251250251252253253257256258261259258258256254257257252251253249244243244245245245245245247252255253250248245251248248248249249249249249247248248245244244244245245244243243242242243242243243245245244244242244244241244242241242245243243246244239245240242240237239239241240240236235236236238239239239240243239238240245246245242243240237235233232233234234234233233233232231233233233231234235233233234235236237235234233230233229230230229227223226226226226223223223222221220221220220223220220222223223224222223223225222223225223228229228232233239238240240238240238238236235234235234234235235236237238237238240236236236233230227224227225225226228227226227226226228227228227227228229230231234235236235235236237237236235236235235236236236237237236235236233236236237236237237239238237234230230229231230229229230229228228228227228227227227227227226226228229231233234236239239239238238239239240241240241242241241241242242242243243244245244245245245244244245243243241239237235235234233234233234234235235235235235235236237236237237236237236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298298297293292291292291290290291291287999999999999999999999999999999999269274274273273270269269269270270270269270271274276279281282284285286287286285287289290290290290289284279275273270271271271273274270269270272271273273278269270999999999999999999999999999999999999999999999999999999999999999999999999267262273273270271272273270274275277272274270275271269273274273270272271271272273273274276275277276276277278277276276276276275272273274274271269268266266265263263264262264265266265266267268269269269271273274274273271271271273274273274272272271272274272274274273273274274276273274275274279999999999999999999999999999999999999999999999999999999999999999999999999235235239238235232235238238238238242243245246247249249249245245243236245245246246244246248251253249251254254259260258254257254250249250248255250253254254252257256258260260258257261256255255258258256255252249247247242244242245242250255256252249244248251252248247248249248248249248249249247245245246245244244245244243244243243243243244245244243244243244243243243243243246245245246245243241241239242242243241237240240237236237238237238239241244242239241242245246244243244236240239236234234234235236234235235236235234234233234232234235235235235236236234235233232228229229228229227227226227228227225224224222221218221221222222221219224224223224224221222222225228224225230230229232235237236237239237238239238236235233234234234234234235236237239236233236236237233231231228228228227228229229230229229228229230230228230231232233234237237236237237238237237236237237236237237239239240239237238241239239238239239238238237238236232230229228228229229229230228228228228228228228227227228228227229229231232233235237238239240241242242242242241240241242242241242242242243244245245246245246245245246245244243243242240238236236235235235234234234235235235236237237238238237237237237237238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296295294294292291290292292291289999999999999999999999999999999999999999999999999999999999999999999265266266268269270272274277278281284286287287286287287289290291292292292290286280275274275275274273273269266266264263269269999277999999999999999999999999999999999999999999999999999999999999999999999999999999260266263270273273270272275271273275276270270273269269278275273274272273273271272275275276276278279278277277275277276275275274274275274272270269268267266265264265265263265265268269267268270271272272271275274272272271270274274275273272272999999275276275274277274274277276275274275276999999999999999999999999999999999999999999999999999999999999999999999999999233235236237232233237238240242242242244246244245249248248248250248244244243249248248253258258257254255255256262263262262261257255257252252254250252254254255258260260263262262261261260257255253254259257255252252248249250246247247246247247249250247248249251249249249248247248248247248248248246245245246243246244243243243244243245244244243244244243243244244244244245244245244246246246245246244243242245244244243241240239238238238238239240238242245239242243246245244244242239243241235237236236236236235236235237236236235235236234236237237238234235237236235233232231229227230229226226226228228229228227220221220220221221221221222223223219220219221221222225226225225228228231231235239239239238238237238239239236235233234233232232233233235239237236235238239238235233230231229228227229230230232233232231232232232233235235236237237239239238239238239238237236238237238238239242240240240239239239238237239240240240239240240237234232231229230230230229231229229229228228229230229229229228229230231232231234237239237240239242241241241242241240241242241241242242244244244246246245246246246246246246245244243242241240238236236235235235236236236236236237238238238238238238238237238237 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296294293293292291293292999999999999999999999999999999999999999999999999999999999999999999999999999999999259264270273273277278278282285285286286286287287289289289289290291289286279274272271269268267266264263262263266268273275283273999999999999999999999999999999999999999999999999999999999999999999999999999260267273274273277275274273272273275272272271274273274277275275274275272271271273275277278279278276277277276276275274274274274273271273269269269269269268267267269265266269269270267269271272273274274275272273272270271270272271999999999999999276277275276276276277277275276275999999999999999999999999999999999999999999999999999999999999999999999999999999999232234235236234238242244248250250249246244245247249251251250248248247247248249253251253254255254256255256260263259261260262256255262259255254253255254253255260260260261262261262262260258256251252255254252255253250251251249251249248248249248248249248249248250249248248247247247247250248247245245245245247246246247246245245244245245244245244245244243245245244243246245247247246245246245244245244243247246245244244242240240239239240240240238242242243242242245245245246245243241238239240238234237237237237239238238235235237237239239239239235237237235237235234232233231231230230228227227231228230229227223220220220219220221222221222225218220220222226225226225225225226229230232233233234235235235238240240240237235232233232233236233233234240238235236239237237235234232232230230229229231232234234235236236235238237237237238239240241240239239239239239239237238238239240243242240238240238239239238238240240240239239239237237235233231229229230229229229230229228229229230229230230230229230230231233234236238239238240240241241241240240240239240241241242242243244245246247247247246247246247246246245245244243242241239238236235235236236236236236236237238237237237237237237237237237 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292296296293294292290294298999999999999999999999999999999999999999999999999999999999999999999999999999999999262264270272274276279281283285286286288288290290291291291291293293291288283278274273273271266264263260256258258262268273285273999999999999999999999999999999999999999999999999999999999999999999999999999262262268270269274278275273272272270269267269272271275275275275275273274273274274274276276278277279279278278274275274273275273272272272270269269269268266265266270267267267272272271271270271274273272274274273274270271270268999999999999279274275275275276277276275275274280999999999999999999999999999999999999999999999999999999999999999999999999999999999232234234235241243249252253255254257256254250248247245246250250251251253251252255250250250253254253253250252256265265268268266260263262259257258257255257255258258260260262258260258261258258260258258254254253254251252255253251254250249249248249249249248249250249250248247248248249249250250248247245244246246245244244245245244245246245244245245245244244245245244245244245246246247246246245244245245244245245245243242242241240241240242241242243243244242239241244245247246245245242241241238240237236237239239239240239238237238240240239240240238237238237234236234234233232231230229227228230231229229228226222221220220221221221221222223223223220223225226225225225226225226228229233230232234235236235239240241241237236234231232234234235233233235236238238238239238236234231231230230230231233235235236237237237238241240238238239241243242241239241240240240239239239239242243243241240239237238240240240240240239239238240240237238237234232230231230229230228228229229229230230230230230230230231232231232235237237239240240240239241240239240240240241241241242243244245247247247247246246246246246246246246245244244242242240239237235235236236236235236236237237237237237237237237237237237 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297296298298299999999999999999999999999999999999999999999999999999999999999999999999999999999999264262266267272274276279281284284285285289290291292292291291291292292289286281277275276276273270265261258255254257260266272278999999999999999999999999999999999999999999999999999999999999999999999999999999999260268268270270271277275271270269269271271271274274274274275275276276275274273273274277276278279279279277277276274275275274273273270269269269268267268268269271270268267268271271270271272274275273273274274274275272272274999999281279279276275275275274277277277275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231232237243248248251257258257256257258256260253250249251250254252253249253253251248249250251254253255252255258265268269270264263264265259256255260259255256258251256262264263259263261260261262259260260260259257257256256254254255255256253251252251252250251251250250249249249248250249251250249247246243245245246243246246245245245245245244246245245245245245245245245244246246246246244245245246245245247247244245245243242242242240242242241244242244241242242244245246248248247246246243242240240240238238238239240240240239240239241241240239239239238237237238236234234233233231231230228229229231232229228226223221222221221222223222220221221224225224227223224223223225227227229229230229231231235236235239240243238237235233232234232234235234235236238238239239240238236234232233232232233233236236238239240240238240241240240241240242244243241241240241239239238240240240242242241240240238239240240240242241240239239239241240238239238235234231231231229229230228229229230231231232231231230232233233232234236238238240240241240240240240239240240240241241242242243245246246247247246246246246246246246246246245245244243243241241238236235236235235235236236237237237238237237238238238237236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266265267268272274275278282283283284286288291292292292292292293291291289288285281278280279277272266260257256253260259264271276284999999999999999999999999999999999999999999999999999999999999999999999999999999262264267268270270274275271271271271274269272272274273274274276277278276275274274275276275276278278278278277275277275273272272271270272269268268267268270269267272270269268268270274271273272271271274274272270272273273273281999999999278276274274274275275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231234242250252253254258258259258257258257258257255251254256256250251251253254251249249252253253253258259261263266267264262260257262263260258259260256255258259260263263265261262265264264261264263263263262263264262262262263262263264265262258259259258257255253253254254250249250249251252251249248247245245245245245246246246247247247245244245246246246246245245244244245244244244244244244246245245247246247244246245245245243242242241242247248244244242240242244246245245244247244247247246244242242241240239239241241242238240240240239240240238236236236237237236235235234233233232232229229231232233229228226224222222222220222221223224225226226225225226227224225226228228229229231231232233233234236233240242244241240236237234233233234235236237237237238239240241240238235234234234234234236238238240240240240240241240241243244244243244244242242241241239238239240241242242243240240240240241241241242241242241240240240241239239239238236234232231230230231231230230230232232232232232232232234235235235235238239238239240240239240240239240240239240241241242242244245247247246246246246246246246246246246246246246245244243242242240237235236236235236235235237237238238238237238238238238237 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264270271272274275276280282283283285288290289291290292292291292293291292289289286285284282277273268261262257258257259999271999999275999999999999999999999999999999999999999999999999999999999999999999999999999262260263267268271274274273271273271272268271272273274274272278278278278274274273276277278278279278281281281277276273275273272272271271273271271271272271271273271271271271269272275273274274273272271272273274273274274275280999999999280278276276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230232240244248252257256258260260258259259259262261257255258258260260253254257259250251256255253254254257257256256267270270268268261267266262259260257259259257260262264264263264263262263265266263265265264265268268268266267265270268267266266265267263259258258256257257258256253252251252252251250247247246245245243239246247244248248247243246246247247246246245244244241243244244244243244244245244246247246247246246247246245245244244246247246245244243243243242243245246247248250249249248248248244242242242241239241242242239242242241241241240238238237236237236236236235233232231235234232233232232231231229226225223222222223222221225223224225225226226224224225225227228230231230230231231234234233234236238240239242242240237236237235234235238238237238239240241241240239238235235235235236238240240242242241241242242244245245247245245246246245243242240241240240241242242242242241240242241241242242243244244241241241242242239239240239238234232232231231230231231231231232233233233234234235236235236236237238239239240240240240241240240240240240240241241242243245246247246246246246246246247247246246245245246245245245244243242241239237236236236237235237238239239239239239239239238238238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289289287286999999268273275276277277277278281282282284286288291293294294295295292293293292292291291288286285282280275270263264260257999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262263262269268272274274272272272270271270272272273274274272275276276274272275276277276277277280282278278281278275274273275274272272272270271271270271271270270269269271271274270271272271271271271272273273275275275275277280999999999282281279999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234233236242245248254260260261262260261263263262261261263257261263262262253257259261258255257258257256260257259258262267271269271267259269262262260260255255258259260262260261259262261259263263262262263265266265265264266265266267267267268269268269268263264261262260258260260256256255253254254253251250249247248246245245245242244248248248247246248247247247246244245245245245246244244243243244244246246246247247247247248247248248247247248247246243244243243244244245246248249251251250249248250251250246244244243241241241242240242243241241241239238237237237236235237237236234232232235234234235233232233232231230227225225221222224223223224226225224225225227227226226230230231231231231230233234233233233234236237240244241244240239235236237236239238238238239241241241242239239239238236237239240241243243243243243245244243247248250247247247247247244244242242241242243243242242242241240241242243244242243243241241242241241242241239238238238234233232232232232232232232233234235235236237238238238237237237237239239240240240241240240240240240241241241242242243244246247247246246246246246246246246247246246245246246246245245244243242241239237237237237237237239239239239239239239239239238238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289286286286285283279273272274276277279279277279280282283283284286287290293294295295295293296295296295294292292287285281276274270267262263262999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262267266269273274273272271271272270268271271273273274272272272271275275275276278278278279282282280278279276275274273273273272274272270270269271272272271270271271270271271272271272272271271274274273274275275274275274999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231237240245246253259262262263263262262265265263263262262264262258257257258259260261263262261260261259262263262262262268271271267269263271265266262263257259259262262262258256261261262262263263262263263264266266264264266266266267266267268270269269267267267268267264261263262259262258255256256254252251249249247249249246247245243245249249248248247247247248247247246246245245244245244244243244244245247246247247248248248249250248247247248247247246244245242247246248249251251251252252248251250250252251248248246243244244243242244244241242240240238239238239238237237237236236235233234235236235234235234232230230229228225224226226223225223224224225226227228229231230231232232231232231233233236236236237234236236238242243244243240237236236238239240238241241241241241241240241239240239240241240243244245244244246247248249249250251247248246246244245245242244244244244244244243240241240241243243244243243242241240242241241241240240240239239235234232232232234233233234236237239238239239240240239239240239238239241240240240241240240240240241241241241242242243246247248247247246246246247247247247247247246246246246245245244243242242240239238237237237237238239239239239239239239239239239239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291291290288287288288287286283280277278279279279279277279281283283283284286289291293296295293296297298298298296294294292288284281277270272268268268275274999290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261258267267268270278275271271272272271272272272273272275274271274272276275276277273278280277280280279279280279275274272272273273273272272272271271271272271270273273270270271272270268269269270274274275275275277277275276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233239243246246252255258260261261262262261263264264263263264262262260263262264264266267268266269269270273273272271271273274272272271271269261269267264266262263264265264263260260262261261259259260260262262264264263265266266267267268268269270271270270269270270266265267265266265265263261257257258256256255253250249250250250249249249250250250250249249250249248247247247246246246245246246246245244245246246245247247249249249250249249249247248248246246246247245247248249252252253254251252251250251251252254255251248246244245245244244245242242239239240240238237239237238237237236235237236237236235234234233232231231229228226223226225225225225224226226227229228230230231232232234235235236237238237235236238239239240241243243244246243240239237239240240240240240241241242240241242241239240240239244244244244243246248250250250251249249249247247245244243243244246246246241244245243241241241242241243243242242242241240241243242242241240240239238238236234233233235235236237238239240239240240242241240241241241241241241241240240242241241241241241242242242243243245247247247246246246246247247247247247246246246247246246245245245243242241241240239237237237238238238238239240240240240240240240240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289288290290290289289288289288288287286285283282279279278278279281282282283286289290293293296296297296298297296296296295295291290288284282280279277271273271274272290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259261262265271274280276271272272272269269272273273274274274275275275274276276278277280282283284283283283280277276276276274274274274273272271270272272271271271271270268268269270268267267269272273275276276276276277275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234239246245248251257258258259261260261262260263263261262263263265267266269271270271271271271274274274265269268267266271271272270267265265269270268266262260262266259259257261257257262261262260259260262260262263264264265265266268269270272270272271273273272271273272271269268267268266265262258259258257256254252250248247250251251250250250247251250249250249249249247247245247247246246246248248247247245246247248247247248249250250248250250248247246246247246248249250252253253252253253253251251251248252253255257253249246247247247247246243242242242242241237238238237239237238237237237238238237236236236235235233232231231230228228227227227228228228228229230230232230233234235236237238237238239238237240238241241242241244244244246245244240239238239239239240240241241241241241241241242243241241243244244245245247249251252250249249247247247246245245244243242243244244244244244241241242242242245245245244242242242242241242241241241242240238238237237236234235237237238239239239239240241241242242242242242242242240241241240240242241241241241241241241242242244246247247247246247246247247247247247247246247247247247247247246245244242241240240239238237237238238238238240240240240240239239239240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283286288290290289289288289291291290289288287285281280279279281282285284285287289291292294295295296296296297296295297298296295292291291290287286286281279276277273273282999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258260261265273276275271271273273269271272274273269273274275275276276276276277277279276281282281283283281283278276277276276274274275276275273273274273274274273273272272271272270267267266268271274277276275275278277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236239243245248249251255257258256258258261259259258259261262264268271269266268271272270269274272275275275268264266266268274272271268269271267272273271269257260261264263264262262262258258262262262260261260262263264264264264265266269272273272273274274274274272272273276274270272269268268266263261259259256255256255251254252251252250252252251250251251250250250250251251249248248247246246248248248248247248247247248248248248249250250250251252249248248248248248251251252255256254254257257253250253254251253253255259259255251250249250247246244246245244242241240242240239238237237237237238239239239239239239239237235235235234233234230232231231231230231230232232234233235237236237238238239238238240242242243243241244245244246245246245247246245243239239239239240241242241241241241240241243243243243244245244244246248251251253252249247247247246245245244244242241242242245244245244242242242244245246245245245243242242242241241241242242243241239238238237236238237238237238238237239238239241241242242242243243242242241240241241241241240240241241241241242242243245247247246247246247246247248247247247247247248248247247247246246245245243241240241240239237237238239238239240241239239239239239239239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285286288288290290288290290290290290290290287286284283283282281282285286287289291293294294294296297296296295295295295295296296295293294292292291291289284279279276272271276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255261262267270277273271274275273275269271272270272271276275275277277277277277279279278280282281281284281284277277277276275277277277276275275275275274274274273273273276275275273269269268271271274275275275276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234237241247249249250257256257257258258259259259261265267265269270270271270272273274273267271271275275274265264265268268266273269271270270272274272273270265263261264265264264261262263263263261263263264262262263264265265265265265265273273274275275274274274275273274274274273271270268268267263263260260258257256253253255254254253253253253252252253252251251250250253252247248249249249247250249248249248249249249248248248249248249250250252252250249249249251251250253256259257259256258260258254254255254254254255260260257254251251251250249247246245244244242240241240241239238238238238239239240242242241241241241240240240238238237237235236233233233233234234235235236237238240239239239239241242244243246247248245246248247249248245247245246247246242239239240241241240240239240242241244244243242243244244244245246249250252252250247247248245249247245245243243245243244243244245244243242243245244245245246244242242241241241241240242241242241239237236236236236238237238237237237239239239240241241241242243244243242242242241242240241241241241242241241241242245247247247246247247246246246248248248248248248248248248248247247246246244243243242240239238237237238238238238240240239239239239239239239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279285287289288290290291290290290290290291288286284283283283284284287289290291292294294294295295295296298295295296296293294294295294293293293292293291290287278275277282278279281999999999999999999999999999999999999999999999999999999999999999999999999999999999999262258264268270275274271275275274276275276276276275273271272277277276277278276278277279279283284283281281281282280999999278278278276277277276277277276274273272273273273272273272270270275273272274275275275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999236236243246248248251254258258261261262259260265269275272275277275273272273272272274271272272271271269275272272273274272271273271272273272273274273273271267266267263264264264262262263263264263261261264268266264264262264264265266270275276277275275274275273273275273274274274272272271270267265262262261258257255253255256255254255254254255254255255255253251252252252249249250251249251245247250249249250250249248249249248249249249250248251251249249250250252253252255255259257256257258259259256255255256255256257261261259257254253254249249248247247245242242241242240241242242241239241240240242242244244244243243242242242242243239241239239240238238237236237239237238239241240241241242243247247247246248247247247249250249249250250249249252249247248243242241241240242240241242244241243243244243244245244244246249251253253251249247246246246247244244244242242242243243243245244243244242243243244244245246244243242241240240240238240241241241241238236237237236238238237237236237239238238239240239241242243244244244243242241242240241241242242242241241242244246247247247246246246247247247248248248248248249248248248248248247247247246244244243242240240238238238238238239240239238239239239239239240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285999999999999278284286288288287290290290289289290291289287286285285285284286288289291293294294295295295295296295294298297294294295294293294294293293293292291291291289286283279281284283282285999999999999999999999999999999999999999999999999999999999999999999999999999999999999260261264270273276276272275275272277274270272273275275274273277278279278278277278281280279281282283283284281278278279279280278277279279279277277279277275274273273272271271271275272271271274275273274275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999238240244245246247247251253257257253253264271273271274275277278277276272273271273273270270272271269272274265273264267268268268268273273276275277276274271264267265264260266265265263265260265266265262262264265264262264264265266271273275275276275275271274272273274274272274274274274273271271266263261259258257255254256255255253254252254255254255256255254253251251249250248250256249249250250247248249250250249249249249247249249249250251251250251252251252253254255256259258256252257257260259259257257258257258258260261260260257257254254254251248249246245245244243243242243242242241241241242243244245245244246247246245246246245241241241238243239239238240240241241240241242243243243244247246245246247248249249249249252247249250251253253252251250249246247245242241243242242242242241241241243244244246244244246249253252252249246245244244243243241243242242243243245245244244241243244243243244245245245245243242243242240239239239238242241242241238238237236237238239236237237237238237237238239239240242242244244244244243242241241241241242242242242243243245246247247247246246247247248249249249248249249249249249249249248248247247246245245245243242241240239239238238239240241240240240239240240240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288277277280281283286287287289290290291291290289290289291288285285285284287289291292293295295296296296297297297297297296297297294293294294293295293293293292291290290288283284282282285287285287291999999999999999999999999999999999999999999999999999999999999999999999999999999999260259264271275281279272273278276277276271273274274274273274278276276277277279279282280280281280282283284279280279281280280279279280279280278278278278275273274274272272272271273272271273273274276275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239241242245245249251254254254255263269272275271275279275279276277276272272272272271270270270269266264266265264263263265266267273274275274278276276273268267265264264264265264264266264261262264265264265266262262264266268265272274274274275275275276275274272272274274273273274274273273272268265261259257256257257255255254255255254253253253253254255255251254255253253254254254252251250250249250250248248249248249249247249249250249252252252252253254255255256258258259257255255255255259260258259258258258259260261264261261258258258261260256253253254254252251252248245245244242241242242243244245244245247248248248247248247245245244243240242241242240239241242243242242243244244246246247248248247249247249248246248251248248249251253253252252250249249250247245244242241241242240242241242243242244245244245248251252253250246246244243241240240239242242242242242244246245244244244243244243244243245245245243242242241239238239238240241242241242239239236238238239238238237237238236236237237239239240241242243244244244244243242241241241242242242242244245247247247247247246247247248249249248249249250250250250250250250250250249248247247247246246244243241240240239239240240240240240241240240240239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285281283284285286287289289290292292293292290292291290289287285285286289291292293295296297297296297299298297297297296298298295296296294294294293292292291289289288286285285282283283286285290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267272278282277277277277277276277274272273274274276277277277279278280278281281280279280280280279279280280281284283282282280280280280280279279275274273274274273274273272272271272272274275276276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999239241242242242247251253256264271274272276277274278279276277277276274273272272270271272272272270275275271270274266270268273271273274275275275276278274270265266265263263264263263265266265263263263263265265264265268271272274274275275275273274274274275273272273270274274273272272273271271269268264259257257257257256256254254255255254252252254254255254255255255256256256256254253253251252250249250249249249250250251250250250250251251251251251251255253254258259259258257257257258257259260259260259259259260261262263263263260260260261259256257256255257257256256253252252248243242242242244244245244245248249250250249250248247247245244243243243243242243244244245244243244245247247246247247249247247247247247248246245247249249248249252251250249249251250250249246243245242241242241241242241244243244245246249251253251249247246244243240239242240240241242241242245245244243245245244244245244245246246245244243244242241241241239239241243241238239238240238238239239239237238237237238238238238239241242243244245244245245244243242242242242242243243245246248249248248247246248249250251249250250250250250251251251251251251251251249248247247247247245244241242241239240240239239240240240240240240239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281286286285285285287286287288288289292292294293292293293291290288287286289291292293294296296297296297298299299296295297295297296295294296296295295294293292290289288286285285281280282279282283298290293999999999999999999999999999999999999999999999999999999999999999999999999999999999271274276281279282278277278278274275276278275276278280280281281282278279277281280280280280279279278278277279280280281282282283280281281280279279275272275274274275275275275275274273273276277276276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999244243242243247250255264271272274274276277279278277275276276275274273272272271272274272273273272271271270269268268267267267274275276276277277274273267266264264263266262263262263265265261259261263266267270272272274275276276276274274273272270273272271272271271272272272270269270272271269262266261258256255256257257255255254255254253253254254254254251251250254254254253256250253253255255252251250250248250249250249250250248252251252251252250252254255256257258258258258258259259260260259259260260261261262262263262260261260261261259258258256257258258258257257254251250247245245244244244245246247251251252251251252251249248248246246246245245244244245246247246246246247247246248250249245244246247245245247247247248248246248248248249249248249252250251250247246244244243242242243243243242244244246248250252253252247246246244242240240240240240240242243245245244244245245245245245244244244244244244244243243243242241241241239241241241239240238239240240239240239238239238237238238238239240239242242243245245246246246245244243243243243244244246248249249249248248248249249249250250250250250250250251251251251250251251250250250249248247247246244243244242241242241240239240240241241240240240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278280287286285286286287288287289289289293293293293291292292290288289286287290292292294295295296296296296297297296295295295295295295295293292293294295294293292290289287287287285283282280281283283296287999999999999999999999999999999999999999999999999999999999999999999999999999999999999273275278280282282278278278276275278278279280281280280281282283281282281282283281281282281281280278277278280281278280278277282282280283281281280277273273273279275276275999999275275276274274276279281999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999245247247248250256264267273274274274275275278278279277277277274275275275274273272273275273273273273272273273272270269269268274270270271273273272270268267266266260265265264264260265265261260264266269271273273275276276277276276273273273271270271272270269270271271271269270270272273271270270268263260257256254257257256256255255254253253253254254255254255252254255255254255254255255257257256254254252251248249250250248247250251252251252253253253254253256256257257256256258258260260260260260260261261261261261262262261262259261260259259259258258258257258258257256255253249247246247245246248249250252254253253253254251251252250248248247247248247246247249248248247248249248249248249248247247247248245245246247247247246246246245246246247249251253251251249249248247246244243242243242242243244245248250252252253251246248246243241242239239239239240242244244245244245245246246246245245244243243244243244244244243243242241241241241241241241239239239240240240240241241240240240239239239239241240242243244246247248246247245245244243242244244244247248249249248248248248249249249249250250250250250250250251251251251251251251251250250250249247246245245244246244243243242241240240240241241241241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275279281286286285284285286286287288289288291292294292292292293291291290290288292292293294295296295295296296297296296294295294294294296294293293293294293294292291290288287287285284284281282280283284999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274274278280283282279279279278278276279278281282283282281284284284284283283283281284283281283281278275275276279278279278279281279280283279277277273275999999999999999999999999277277277276276279276999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279280999999999999999247249248251254257264266270272273275276277274276277277276277277276275275276275274275275274273275270271271271272273271272271271269275271272272272272271267266268268266262261266266262262266263264263268275273274275276277277277276277275274273270271272270270269269270269271270269268270272273269272272268268266261258257257256255255255255254254253254254254254254253255255255255256254256255257258258258259258257255256254252249248250251252251249251252251251252252253254254254255256257258259260260260260260261261260260260261261259260260260260259260260258258259260259259258256255255251252249249250251252254251253254253255255253252253252251250250249250250249249250249249249248249249246249248245244244250249248248246246245248245245245247244245243246247249251251251252247250248248246245246247247244245246249249250253253252250247249246243241242241240240239243245246245244243245246245246246247246245245245245244245245244244244244243242242241242242241240241240242241241242241242241240239240239240239240241242243244246246248248246246246244243243243244246248249249247248248248248249249249249250250250250250250250251252252251251251251251251250251250249249248247246247245245244244244244242241241240240241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279276277280282283285285285284283284285289288287288289292291292293295294294294292291292293293293294294295295296296296296296294294294293292292293293294293294293293292292291290289287286284284284284283283286288289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274276279279280284282278279278278276280281279280281281282283283283283283284281284284283282279282278274270999999999278280276274279275277999999999999999999999999999999999999999280999279277277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272272276999999999999249242248250255264265269271273275276274276275274274276276278276277276276274275273276277275272272272273273272273272273275273274274273275276276278280281278275273269269268269268267267266265266267269272278279278276276277277277277276277275274273272270269269268268268269269270269269267269271270271271271269270269267263259257258255255255256254255253254253254254253255256257256256256256257257256256257258257258258259260258259257255253252252252251251252252251251251251253252253254256258259259259258259259259259260259259259260259258258257260257257259260257259258258258256257257256256255254254252253254253253253253254253254256255254253252252251251250251252252252251250250251250249248248248248246243247248249244246244245246246245246248246246247244247247249251251249250250251251249247248249247247247246249251250252254255253252249247245244244242242241241242245247246246246245247246247248247246247247246245245245246244246245244245245243243243244241241240240241241240241242241241241240241240240239239239240242243245246246247248248248246246244243244244246249249249247248249249249250249250249250250250250250250251251252252251252252252252252251251250250250250249247248248248247247246246245244243242241240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278278281283283285286287286285284284285288286287288289289290291292292292294294293293293293292293294293293295295296296295293293292291290291291291291292292292292291291290290289289288287285284284283284286289290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277279281280281281281278278278274276277282283280281285284285286285284285283285286284283283284279278999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271272274999999999999247246251250259265269272272276274275275276276275276276276276278277275275272276272274275276273273276272270270269270270272273274271270272271272272274274273276269268266266267265266266266265265268267269276279280280278276277277277278276275273273272270270268268269268269269269268268269268270269269271272271269268270268266263261258258255255256256256256253255254254255255256256256257257256254256256257257257258259260260260259258257259261259256255252252252250251251252251250251253253255257258259258257258258261261259258258258259259259258258256256257258258258258258255257256255251253254253252250254253254255255254254254255256256256256254253252253253252253253254254253252252251251249249249248248247246245245244243244244247246245246244245247246247245250249250249250250251251252251250250249250249250250250252253253253255255254255252248247246244244244244244245247247247245246246247247247247247246247245245246244246245244244244245245244244243243244244242241242240240239241242241241240242241241239240239240242242243245246247247248248248249248246244244244246250250250249249249249249249250250249251250250250251251251251252252251252253253253252252252252251250251251250250250249249248248248247247246245245243 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279281281282283285286287287286284282284287289288289292292290292291292292295294295294295294293292293293293293295294294293292292291291292289289290291291292292291291290289288288288287288286283282279279278285291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277280281280281282281281279275275275278279283281281285282286286286284285284283283285283282282281278277999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267268999999999999999245250255262270272273274275276278276278278277276276278277277276276278276276274279278278277277276277274276271272272271271274271270273273272274273276276275274271270267266267266266268267267270273272277278280278276278276277277276275275276275273271270269270268267268269269268269269268269268268269270271271270270269269268265265262257257256257257257257256255254255255255256257257256256256255256255254258258259257260262261260260260259258260260260258256254253252252251252251252253253255255258259258258259259260260261258259258260260259256258257257258257256258258257258256256256253252251253251252253254254255255255256256257257257257256255253253255254255255254255253253253252251250248248249247248247244244243243244245247246245245246247249247247247247249249249250250250251251252252252251250250248249252252252253255254254254255255254250248247245246246245245245246246246246245245245246246246246246245244245246244244244246245245244246244244244244244246243245243240241241241241242242242242241242243242241242243243244245247247247247248249249249247244245246246250250250249249249249249249250250250250251251250251252252252252252253253253253253252252252253252252252251251251251251250250250249248248248247247246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283282282283283283285285286286284283282285289289290291290291292292292292293293295296295295295293292292292293293294294293292291291290289289289289290290290291291290290289288288287286285285282279277275274278286292999999999999999999999999999999999999999999999999999999999999999999999999999999999999279280282281281281281285280277276276277278281280283283286286286287288287287287286285283283284282280999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271270268269999999270999999999999999247261267271271271272273275277278276278278279278276276277278278278276275274274277274277275275277277276273273273275273274275275274274274275273276279280281281275273271270270270270271272275275277278279280281277278278277276276276276275276273271270271269269268268268268269268268267268269269268269270271270272271270269268268267265262260257256256256257256254255255256256256257257257256256255256259257258258259259261262261262263262261263264263262261261259258255253253252251251252251252255258259258258259260261261261258261260261259261259258258259259258260259257257258257257258257256257254255253254256256258258258258259258257257258256256256255255254255255255255254253254253251250250249250249247246244243242243244244244244243245246247247247246246249249248250249250249249250251251251252251250249250251252252253254255254254255256254251249247245245247246246246246245245245244245246246247246245246244244244244244245244245245244244244245245244245244246244245245244244244243241241242241241241241242242242244244244245246247247247249247249250250247246246246246250250249249250250250250250250250250250251250251250251252253253252253252253253253253253253252252252251251251251251251251251251251250249249248248247 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283283283283282281282284283282282283286287287287288289290292292292295295295297296296296294293294293293293294292292292292290290289289289289289291291290290289290290289288287286286285281279277273272272278285287999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283282281282283283280279278277277279280282280282283284283286285285287286286282283284283282280999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272271269267999265999999999999999263261269274276273272275275276277276278278274278278278277275277278277276278278278275277279278278273277276277274275276275275275274274273275273278274279278279276273269270269268267268269276277278277279282281278282278282278278276276277276273272271270269270270270267269268269268268268268269270269268269270267270271271271270268269267265264262258257256257257256255255255257257256257257259257253255256258257258258256261257261263264262264265264264263263262260260258256255253252252252252253255257258258257257257257254258259260260260260263259260260260258259260260261259260261259259258257258256254252257258259259259260259259258258257257255255255255255255256255254254253252252253253250249250247245247245243244243243244242243244243244245248247248247248249249250250249249249249251251251250253251252252252252251253254255255257255256257254253250247247245246247247246246245244244244246247247247246246245245245243242243244245245245245245245246245245245243247245246244246247245246245244243241241242243243244242244245245245246247247247247249249251250249247247246246249249250250250250250250250250250250250251251251251251252252252253253253254253253252252253253252252252251252252252252251251251250250250249250249249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293289288287286285283283283286281281281283284285286286286287286288290292292292294293295295294295293294293290292291293291291292291290289289290290289290291289289290289289289288286287287285281279276275269264269276276276999999999999999999999999999999999999999999999999999999999999999286279277282281282282285287283280282283282281279280279280280281281282284287284283283286286286286283282283283282279999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283999999999999999999999999999999999999999999999999999277272273999999270268267269269268267272999999266265266265267275274275274276275279276279278276277278277278276275275275276280275280276277275280278279274278277274275275275275275274273278272275273274275276277280277272269268269270268274277278277275277279278278277282283278277276275274277277271272271270270271269269269269268268268268268269269270269268267270271270270271271271269269268268267264262259257257257258258259258258258258258258258257258258258258259257259261259261264264264264264263264264264264263263262261260259257256254253253253254257258258258258258258259257258259260259262262260261260262261260260261262261262258260259260259259257256256257257258258257257257256256256256256255255254254255255256254253252252252252252250249249249247244245243244243244243243243244244244243244247248249247247248247250249250250250251250250251250253252253253252254254254255254256257256256255255255250247247246247246246247246246245245245247247248247246247246244244244241243244243243244245245244246245244245245246247247246243247247247247244245243243245245244245244246246247247247248247247248248250251250249248247246247248250251250251251250250250250251251251251250251251251252252252252253252253253253253253253253253253252253252252252252252251251251251251251250250249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293292291291290286283282280281282282283283284284285286286286287289290290292292293291294292292292294291290289291290291291291290289290289289289290290289289288289288289289288286286287283278275275274269265270274274274999999999999999999999999999999999999999999999287287999999999286289284282284286285287288286285282283283283280280280280281282282282283283285284283283286287286287284283284284999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280999999999999999999999999999999999999999999999999999274274274999999999999265265270271271268999999267268271273270275274278275276275278280279278279278278277277277278278278279279279279276276278276280281278276277277275274276275274274275274274275275272277274276278277280276268267272273275278279279274278278279280280279282279278280276277275272272273269270271271271270267269269269269268268270269269269268269267270271272272272272271271270270269268268266263259259259259258259260260260259259259258258259259260260260260261261263264263265265265264263264264263263263264262262261261260259257255254253252255256257258258258257258257258258259258259258259259260261262260261262260260259260260259258257256257252254257257256257256256256256256256256255255254254255254255255254253253252251252250249249250247245245245245243244243244243244245244245247247247247247247249250248248249250251250250250249250250252252252253254255255255254255255255256255256255254253250248247247247246247246245246246247246247247247246246246245245245244243244245245245246246246246246245245245245248248246246247248247248247244244247247246246246247247248248248249249248249248249250251250249249248248248249251251251251251251249250249250250251251250250251252252252252252252253253253253254255255254254253253252252252251251252252252252252252251251251250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296295293293291288285282279281282283283283283284285286286287287289289290291292291290290291291295291290290291291289289290290289289290288288289290290290288288288288288288287286285283278273274276274268265268269269273273273999999999999999999999999999283999297999287287288289287287999999283284286287288288286284283282281282282280280281283282282282284283285284283282285284285284283281283999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287282283281999999999999999999999999999999999999999272275274275273999999999267266268269271271271270269266271274275275277281279281281280283283285282280278281280276277276279278279280278279275277277276281281280277276277276276277276275275275275276276276276277278280281280280276273272273275278280281281280280282278280282280281279278277277276274273273273271269272271271270270270270270269269269270271271270269268268269270270272273273273272272272271269270270267263261260259259260260259259260261260260259259259259260260260262264265265267264264264263262263264265264263263262261263263260260258256256254253254255257258258258257257256257256258256257257257259260259260260261260259261260257258258255258256253256256256256257256255256256256257256255254255254254255254253254253252251251250252252248250248247247248245245244244244245244245243244245245247247247249247250250249249250251250250251252252252252252252253254256256255255255257258256257256256255254254252251248247248247246246246246247246246246247247246246246245244245244245245245246246246247246245245244246248247247248247247245249247247248245247246248246247247247248249249249250249248248249249250250250250249249248248248251252251251251251249251250251250251250251251251252252252253253253253254255254254255254254254254255255253253252252252252252253252252252251251251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295294291289290288285283281283283282283282283284283286287288291291292290291291290289290292292293292293292291292291291293292291290290290289289290290290289288287288287288287286282278273269275276274269266264272270276276999999999999999999999283281295295999285286287999287288285282283280281285288288289289288285282281282282282280281283284283282282281282284283282279284285285282286287999999999999999999999999999999999999999999999999999999999999999999999999999287287287288999999999999999999999999999999999999999999999999999999282282999286285283284279999999278999999999999999999271273273272272999999264265266265999271271270271271269270269276273277282281280279279281281282280277277278277276280276279279279280278279277276276278282281283277278277274276277276275274275275277275275277276279280282279278275274275275278278282282280280282281279276279279278278275274273273272272277272269270272271270269270269269270269268268268270271270270268268267269270270271272273272272271270272270270267264262259259259260260260260259260259258258260260259259260261262265266266264263263263263262263263262262263263263259263262262263261259258256254254253256257257258258256257258257257258259258258258257258259260259261260260260259260258257255254255254256256254255255254255256256257255254255255255254254254253251251249250250251249250248248248248248247245246244244246244245245245245245245247248248249249248250250249251251251250251252251253252253254253254255255257255256256256257255255254254255254254253252250248248247247247247247246246245246246246245245245245246245245246245246246247247246245244245247248247247246248248248249247247248247246248247247247247248249250250249249248248249249249250250250250250249249249249252252252251252251251251251251251251250251252252252253253252253254254254255254254254254254254255255255254253254252252253253253253252252252251250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291288288287287286282284283284286285286285287288287288292292293291290288290290290292292296295293293290292290290292292290289290291288289289290290288288288287287286286285281278277267273275272269264269264262274288284999999999999999282279999999291286999288287289288286284282279280283287289289289289287999284282282282282282282282282282282280280281282281281284284282282999999999999999999999999999999999999999999999999999999999999999999999999999999283282281283284284278999999999290289282999999999999999999999999999999999280279273279280999999999999999280999999999999999272271271271271271999260263264266265265270271270272272271271274275275276277279276279280278277277279278277276277278278277280275276277278276277277280279281282281281279279277277277277276276276276276275275277276276279280280280278277277277278280280280280280275279278282279278278276276273272272271271274269270271272270270270271270269270270270268268271271271267268268268269269270270272272271271271272273271271271266264264261260259259260259261261259260256258257259260261262265266266265264263260264263263263262262262266263262263263263262263263262259257255255253257255257257257258257256258256258258258256261261262260261260260258259259260257257251255255254253255254254255254254254254254254255254255254255254253251249249251249249249248247249247247248247247248247244246247247246247246245247247247248249249250250250250249250252251252252252252253252253253254255256256255256255256255258257256254253254255254253253256252250248247247247247246246245246246245245245244245246246245245245246250246246246246245245246246248247247246247248249249248248245246247247248248249249249250251251251250250250250249250249250251250251250250250250252253252252252251251251251251252251251252253252252252253253253254254254254254254255254254254254254254254254254254253253253253253253253252251251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290293289288286284286287288288288286288289288289291292292293290290289289287289292293293292290289291293289289288291292293292288289289290290289289287286286286285284281279274271271278273275264267264262275999276999999999999283279999999281283281283285287288288288285284284283286289290290290289999999283283283283283282282282283282281281282282282281280280281282999999999999999999999999999999999999999999999999999999999999999999999999999281281282281281284284279278999274278287288282999999999999999999999999999999999999282275277275276280280279283281281275274273268270269270269269267267265263263261263268271270270274273272273275275276276277282281280281281279280278278277276278278278277276277276276276275277278281281281282281284283281280278277278277276276277276277276275277277278278279281279277277277278280281280279280274279281280281279276272272273272272272273272271270272272271271271271270271270270271266265271269271268268269268269269270271271272272272269270273272272273269266267264263262261261261260260260260261259261260262263264267266265264264262263264264263262262261260264262262263262262263262262262262261260259258256256257257256257257255257258257257256259261261262262260260259260258259259258257257256256255254253254254254255255256255254254254254254254252253253251249249249248249248248248247246247247247247249248246246247247247247246247248248249250249250250250251250250251252253252251251253253252254253254255256258255258256255256256255255253254254256255253254254252251249247247246246245245244245245245244245244245246247246247247247247248247247246247246247248248248248247249249249249248249247248250249249250250250251250250251251251250250250250250251250250251251251251250249252253253252252251251251251251252251252252252253253253252252253253253255253254254255255255254254253253254254254254254253253253254254253253252252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291289286280280283286286287287287288289290294293291292290290291292291288291291291291290290291291290290290293292292291290289291290290290288288288287287285282281279275273273280275279272264999999999280999999277277271278271272277999281282286286286289289289288287286286288289291291291290999283283284284283283283282282283282281281280281280282282282280999999999999999999999999999999999999999999999999999999999999282278280280999277277275276279279282283283999276275280286287999999999999999999999999999999999999999999999274276279278279281281281281281279277275269267269268268267265263260258261266266269270272275274274273276277279279280279280281282283283281279278279278278277278280281277277277277275278279280282281281281283279280281280278278277276277277277274276277278278280280283281280280279280281280281279280281278280279278279278277275274273273273272271271271272274274272272272272272271271269271272270269269267269269269269269269270270271271271272271270274270269271272270269267266264263261259259261258262260260261261263266266265265265264264263264263264264263263260261259259263262263262263262263263261261260260260261260259257258258257258258259258258259261262260259259261259259257259260258259258256255258253254254254255255255253255254254254253253252251251250250248249249247246248246245245244245247247247248248248248246247248248247248249247247249248250250250250252251252252252253253252252253254253254255254256256256257257256254255256255255255254252254253253252254252251251249247246245245244244245244244245245246246248249248247248247247249248248246247247248247248248247248249249249248249247247248249247247250250250250250251251250250251251251251251251251250250252252252250249252253253252252252252250251251252252251253253253252253253253252252254253254254254254255255255254254253253253253254254253253253253253253253252251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283286286286286286287289291294292289289290289290290289288290290290290289289290292291292291293291292291289289290291292290290289289289287285282283282281280278282278277273260262267271271272272277278267275278273276278281284286286286288289289288287286287287290291291291289287284284284283283282282282282281280281280279278999999999999999999999999999999999999999999999999999999999999999999999281279279274275275999999999999999279280282284999999276277999999999999999999999999999999999999999999999999999279277275276276278280278281282280281277277270268267267268266264261259259262267266268269270273273274274273274280277277279282281281281282280280277277279277277278281281278278276276277276279282279282282277281281282282279278277277277277277276277277276276277276280280281282282281280280280281280280276277277280278278277277272273273273272272271271271273273273272272273273273273273272272272271270270269270269269268270268269270271270271273272271271273269267269270269267268267264263264263262263263263261260265267264268267266266265264265264264263262264263263262263262263262261261262262260259261262260261261261260261261261263261259259260259258259260260258261262260257258257258258258256254256255256254254253254254254254253254254253252251252250250250249250248248247245246246246246244244246246245245248248248248247246248249249248248247248250250250249251253252252252251253252253252253253254253254253254255256256256256254254254254255254254253253254254254253253253251252249250248246245244245245244245246246248249249248248249248248247247246248248248248247248248249248248248249247248249248248247248247248248250250250250250251252251251250250251251250251252251250252251250249251253253252252252252252251252252252252253253252252254254253252254253252254254254253254254254254254254253253254254254254254253253253254253252252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289288288292293289291291291294293290289286289289289288290289292292294291293293292292291291291292293292291290291292292291291291291291290287284286284286282282284284281275274272273275269268266267269269275271273277278281285287287287288289289289289288289290291292292290999284286285284284283281280281279280280280281279277999999999999999999999999999999999999999999273266267999999266272999275279279278279276999999999999999999999281284276999999272280282999999999999999999999999999999999999999279279281278280279277277277279276277278278277279276272268267265264265263260259258262265266266269270272274275273275276278277278280285282283282282283282282277280281281281281281279277277279278277281280282279282282278280281281280279277278278277277276276278276276277277279281282282282279280280282281280281280277280278279275277275272273275275270272271270269272273272270271273272272273274274274270272270271269265266268270269268269270271272271271270273270270272271271268269267268266266265265262262262263263263264267269267267266267266264264265263264262263261264263263263263262261262262261260261261258260261260260260260259259259259259259260261258255260262262260259260259258258258258258255253256256255255254253253254253253254253253253252251251250250251250249249248247246246245245245245245246247246247246246248248248247248248249249249249248250250250250251251253252252252251253253254253253254253253253254254255255255255254254254255253254253253254254252253252253253253252252250250251250247248247246248247247248250249248249248248248247248248246249247249249247246249247247248248247248248248248248248247247249249249250250251250251252252251252251251251252252251252252251251251250252252252252252252252252252252251253253252252252253253253253254254254253254253254254254255254254255253253253253253253253253252253253253252252251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291290291295297294298295297295291291290288286287287287288289291291294292292293292291291292292291292293291292292293292292291292293292291288283289289287286285286288288281280280280279278279278273277279279279279279278280283284287288289289289290290291291291292292292294999284285285284282281280279277278278279279280279279999999999999999999999999999999999999999277275999266999262264269277278281282280282288999999999999999999999999999274275281280285290999999999999999999999999999999999277278279282281281278279280278279279277275276276279278276273269268266265265264261259263264265264265268270273274275276278278278280280280283283285286284285284284284284278281279279280280278277281280280280283282282282278280281281281281280279279279277277277278276279278281280280282283283281282280281281281280281280280279279277276275273274273274276275272270270270273274274273274273273273274273275274272272269274270270266269270267271271267270273271273272270270270271272272269266268268265267269269267265267266266269269270267268266268265265265265266265263263262263263263264263263262262262261261261261260260261260259260260260259258259259258257256260261258259260259259259261259258258257257257259255254255255255253252253252253253253252252252252250250250248248249248248247247247246245246246244245245245246246245246247248248249249249249250250250250249250251252252251252252253252252252252252252251252253252253254254254255255257255255254254254254254254252251251253252252252251252250250250249248249251249249249249250250250250248248249248248248248247245247247249250248248246247247247249249248247247247247248247247247248249249248249250251251252251251252251252252252252252253252252251251252253251251252253252252252252252253253252251252253253253253253254254254254254254254254255254255255254254253252252252252251252252252252252251253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294297292294296301296297298294292291290287284286281285292288291293291291292295295292293292294293295293293293293295293293292292294294292289285287292290291292291292292292290288285279279282283283282280281283282279280282282285287289289291291292292293292293293293293291288287287286284281281279278276277277277276279278277999999999999999999999999999999999999999276277263259258259263999999281283282281283999999999999999999999999999999275282285284284283999999999999999999999999999999999279279279281279282282281281281283282277278277275279279275271269268267267268266264263263264264262261269271273275273275274273276277279282283285286283283284283281281281282281281279279279279279279281279282283283283280279279280279280281280278278276278278277278278277278281280280282283283279279277281280281281280280279279279275274273271272273274275272272270271272272273272274275274273274273272272273273272271271271270270270269267267265270271272271272271271271269271266270270266266269269268269268268269269267269269268268267267268267266265265266265265264264264264263261262262264263261261262262262262260260261260260259260260260259260259261260260261261261260257257258258260258255258257257258259257256254255253252252251252253253252251252251251251250250248250250249248248248248246244245245245244244244246246246246247248247249250250250250250250250249251251252251250251253253253252251252253253253253252254254254255255254255256257256254254254253254255252252252252251251251250250250250249249250250251250249249250248250249249248249249248247249248248246246247248248248248247247247245247247247246245247247247250248247247249249248250251250251250251251251251252252251252253253253252252252252252251252252253252253252252252254252253253252253253254253254254254255255254254254254255254255255254253252252251251252250251250251252250251250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298295295295296298298298297294292291289287282285282284288287288290289291292295294294294293295294294293295295295295295296295294294295293290287289294294295296296296295293293292289280280282285287285284285286286286286287288288289290291293294293293293293294294293293291289287286284282281281280278277276274271273276999277281286279999279279278277276271999999999263273259254254254999999999285999999999999999999999999999999999999999999999279282284282999999999999999999999999999999999278280278280282282283282282283283284282281281278277278278275272270268268268268265266267266263263266266271271272274274276277277278276281278288285286286285284283282281281282282282280280280280279279280280283284284279280280281281281281280280279277275275276278279278278278279279280280282282279278277278281280281280279280275277276273273272274274275275268269273269270272270272273274274274273272271271272272272273272271272271269270268266271272268270270269269269269269271271271269272270266270271269269269268271267269268268267267266268267266265266265265265265264265264263262262263264263262262263262263262261260261262261257262261260260260260260260261263261259259259258259259259259258258258258258259256256256255253252251250252254252250250251251251252250250249250250249247248248246246246246245244245245245246247247247247247248249251251251251250251252251250251251251250250252251253253250252252253253253254253253254254255254255255255256255253253253254253251252251250252251249250249251249250250250250250248250250250249249249248249249249248247248247248248246250248249247247247247247246246246246248248248248247248247248247248250249250250251250250251252252251251251252251252253253252252252252252252253252253252252252254253253252252253253255253254254254255254254255254253254254254255255255254252251251251251249250250248250250250250250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296298297297298298296293293291289287283280284282285286286287288289290292294294294294296294294294294296297296297297297296295294294291290291293295296296297298296295296294291288289289289289288286286287289290291293291293293293294294294294294294293294294293292290288287286282278999279277276277277274272999999999999999288286281276277277278275271268265251253256253258263999999999999999999999999999999999999999999999999999999999999279280285287287999999999999999999999999999276277279281281284284284284283283284284282281280279278279276272272270268269269268266266269267264266268265271272272272274275275276275275280282285285283286285285284282282281283283282281282281280279280280280279282282281279280279282283281280279279278275276276279279278278279278279280279281282278277278279280281281280279279277277274274274268273272273272271269272270272274274274273273272273274272270272273274273273271271270269269269269270270268268272269269268269268270269267270270271269270268269270269268270270269269268268269268267267268266266266266266266266266265265264263263264264263263263263262262263262262262261260261261261260260259262261260261263261257259260259260257259260258257258259257255257256256255254253251252252252250250251249250251251249249249250250249247248246246245246245245245246246245246247248249249249250250250248251251252252252253251251251251252254252253252252252252253254255254253253254254255256255255256257256255253254254253252251251252250250251250248248249249248248248250250249250250249248248248249249249250249248249247246249250249247248247246246247247246245247248248246248249248248246247247248249251250250250250250250251252252251252252252252253253253253252253253253253253253252252253253253253252253253251252253253254254254253254255253255255255253255255255254253252252251250250249249248248249249249249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299299298298298296293293291288287283280282282280284285287287288289291293294295295296297295295295297298298298298298296296294294292291291294295296298298298298298298297296294294292292290289287289288290292293294294296295295295295295294294294293293293292290289287285283279277999271274274276280280278999999999999999999284278277275273275272266261260255260261263265265999999999999999999999999999999999999999999999999999999999287287287286288288288291999999999999999999275278277278279282284284285283283284284284283283283281280278274274274273273271272271269270271268266268266265270269268269272277276275275280279283284286287285287286285285284283284284283282282280281282281282282281281282285284284283281282282281280278278278278278279279279279279279280280279280281282282281281280280280280281279277275274273273273273274273272272270272271272274275274274273271274273275275275274273273273273271272273271270270272272273271271270271272272270269269271271269266268268269269269268269269268268269268268268267268267268267267266265265265266265266265265264263263263264263263263263263263263262262261260261260262262260260261261261259260259262257259259259259259259256259257257256256256256255255254253251250250250250250250249249248249248248248249250249248248247246246247245245246247247247247247249249250250251252252250251251252251251251250250252251253253253252252252252253253252253254254253253254255254254255255255255254253252253252250252250250249249250249248247249249249248249250250249250250249248249248247248249248249249250247249249250248247247246247246247247247246246248248247247248247247247247248247249249251249250249250250250251251252252252252254253254253253253254254255255254253251252253253252254254253253254254253253254254254255255255254254254255255255255255254253252251251251250249248248249249249249249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301299299301298296297295292290289286286281281280281285286286287290289293293294296296295296295297296297297296294296299297296295294292292294295297298298298298299299299297295295294294292289288288291292294295296295294295295296295294294293294293293292292290289286284284281280276272271271272273282283999999999999999999999284279280279999999269268263260264265267265265999999999999999999999999999999999999999999999999999999286288289288286287287288287288999999999999999999282279280281282284285286286286285284286284284281281281280278275274271270271271271270270270271271269270269271272271269271274276272274271275280283284286287288288284285287285286285283283283282281281282282281283282282282285285284279281280280282281278279278278277278278278279279280280280280281283278279278280280280280278279277275274274274274275274275273272273273270272272273274274274274274275274273274274274274275270272274273271272270270270269269272271269272272272272272269269269264266264266269267268268268266267268268268268267268268267268268266266266267266267267267266266264264264264264264263264262263262262262259261259259259262260261260259260261260260259260259258260260260260259259260256257256255259257256255254253252250251250250250249250248248248247247248248248248249248247247246246245247247248247247247249250250250250251251253250251250251250250251251251250252252252253252252252252253253253252253254254255255253255255254254254254253253253251251251250250249246249250250248248248250249249250249249250250250248247248247248247248248249247248248250249249247248246246247247247247249247248249248251250249249248248247248245248248248249249250249249249250251251251252252253253254255252254254254254255254253254252253253254253253254255254254254254255255254254255255254255255254254255255255254253252251251251251250249249248249248249249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297300298300302298297295292292290287285280279277280282284287287291292295294294294295296296297298297296295294293294296299297296294293293294297298300299299298298299297294291292292292999999285289295295296296296296294295295296294293293293293293293292291290288284283282279276274271273273279999999999999999999999999999999999999999999999999999267263265266268268999999999999999999999999999999999999999999999999999999999289290290289288284286288289288288999999999999999282281281281282285286287288288287288288286285283282281281281279277275273272272272271270271271270273271271271272273269270269273272269270275279280282284287287287288291285285284290284284285284283283284283281281281284281282283281282282281280280279277278278278278278277276278279279280280280282283278280281280279279281281278278277276274274274274275275275274274273274273272273273273274274274275273273273274274274270270270271272270272272271271270269272272271270273271271271270271268271268268269267267267267266266268267267268268268267267267267267268266265266267268267267267266266265264263264264264264263262264263263263262262260257259262262259261261259260260260260260260260260261260259259259258257258257258258254256254254253252251252250249252251250249248248248248248247249248247247247246246246246246248248248248248249249250250251251252252251251251251252251252251251251252251253252252251252252252252252252252252253255254254254254253252254254253253252251251250250251249249247247249249249249249250249249249250249249249250249249249247248248248249246247248250250248245247246246247247247249247247250250248251251251251251251250248249248249247248250251249249249250250250251252252253253254254253254254254255255255253253254253253254254254255255255254254254254255254254254255255256255254255255256255254253252252251251251250250248247249248248248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299297302301298297295292292290286284279279274280283286289289292289292294293294294295297297298297295295294292295297298298295294294294295297299300300299298299299298294290999999999999999999295295297296296296295295295295294293292292293292293292291290288287284282278273273273274280999999999999999999999999999999999999999999999999999999266264256255262268270999999999999999999999999999999999293292291293293999999999288290290290284284284288289288288287287287286283282281282281284286287287288289288288288288286285284283282282281279277275274273272272271271274274273274273270272274271271270271268268271276278279282284287288287289290287288286287287286285284284284283284281282282283283282281281282282282280280279278277279279280278279279279279280280280279281283281281283282282280279280280278277274275273274273274274274274274274275276275275274275274275275274274273274275275275274274273274272272272271273270272272272271269270270272271269270270271271271270270268268268267268268268268268268268269268267268268268267266266266267267267266267266266265265264264264264264262263264264264264264263262261262261262261260259259259260260261260262261259260260259259258257257257258256256256255255252254251251251251251250250250249249250249248248247247248245246246247247247247247247247248248249250251251251251251251251251251251251252251251251251252252252251252252252251251251251253252252251252252252253252253252253252252254253251250250249249248248248248247249248249249249247248248249249249250249249249248247246247249248247249249249250250245245247248247248249249247247247249250248251251252254252253252250250250249249248248248249249249249249250251251251252253254253254254254255255255255254253254254254254255256256256256255254254254255254255255255256254254255256255256255254253253252252251251250249249249249248248248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297299299302297296294292288287282278278275281285287290290291290291292294294295296296297296297295295294294297298299297296296295295297299300301301300299299300296295999999999999999999999297297297296294295294295295294293293293292291291290291289289286284283281277270280999999999999999999999999999999999999999999999999999999999999279270264252250262268270999999999999999999999999999292291292292291292293293999290288288287283284283286286287287288287287287286286285284284285286286287288289289290289289288288288287288288285286285284283282280278275274275276274274274273272272270270271270269268269274277280281283287290292288291290288287289286285287285284284284284284283281282284283283281283281283283282281280280279278281279278278278279279279279280281282279278278281280279278281278279278276275273272273272274274274274274275277276276276275275275275276276273274275276276276276272271271273274272272273270271271271270270270270271271271270270269267270269268269268268267267267269269268268268268267269269269267267266265266267267268267267266266266266265266267264263263264265264264264264263261260260262261261260259259260260260260260262260259260259258258258258258257256256257256256255253253252252252252252251251249250251251250249249248248246246245246246248248248248248248248248250250250250251251251251252251252251251250251251250251251251252252251252251251252251252251251251251251252252251252251251252251251252252250251249249250248247247247247248249247248248249248249250250250249248248249248248248250249250249249250250250250246246246247247248249249249250249250250251249250252252252253253253252251251251250248248249249250250249249251249251251252253253254255254255257255255254254254254254255255255256255255254253254254255254255255255255254255255255255255255254254253253252252250250250250249249248249249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296298299300299296295291289287281278277280282287290291292294294294293293294294295296297297296296296296296297298298297295295296297299300301301301300299300301299296999999999999295297297297297297296295295294294293293292292291290288289288288288285283281276277274280277999999999999999999999999999999999999999999999999999999999999999999273253252258264266269267999999999999999999999291290289290290290291292289288286286288284283284284285285287285286287286286286285284285284286286287288289288288289288289289288290288288286289288286285284284282280276277277275274275275274272271267269270270269272275276278282284284287290290290288288287284289288287285284284284285285283282283283283284284280284284282283280279281281281279280279277278279279278280279281282281281282280280279280279280279277278275274273273273274275274275274275277276275276276276275274275276277276275276277278276272273273274272268270272270271272271271271270269266269270268267267265269265266268269268267268268268269268268268268268268269270267267266266266267267267268267267266265266265265264262262263265265265265263262261261261263262261261261261264263261261261262261260260259259258258257258258257257257256256256254253253251253252252253251250250250251252252251251251251250250249249248247248248248248249248249249250249250251251251251250251252250250251251250250252251251252251251252251251251252251251252252252251251251250251251251251250252251251249248249249249248248248247245249248247248247248249248249249249249248248250248247249249248249250249249249250250246248249247249248249250249249250250250250251251252252252252251251252253253251251251250250250250249249250249250250251252253254254255254254256255255255256254254254255255255257254254254254254255255254255254255254255254254255255255255256255254252251251251251250250249249249249249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296299298299298296292289289285280279278281286288292294294294295296295295295295296297296296298298298297298297299297297296295297297299301301301301300300300301301298295297297297298297297298298297296296295294294291291290290288287286286286286285281277275274273272272277279999999999999999280282999999999999999999999999999999999999999999999250252258259262266999999999999999999999291289289287288288288289289290288287286286285285282283285286287288288288287286286286285285285286286287289289288288288289288288288290287287287286290290289287286284282281279278277275275274275273266263266270271272273276278280281284285287288290290290290287283288287288284283283282284285284285285283283284283283282283283283280279280282282282280280280280280279280279279281281282283282279279279279279280280279277276276273273273274274274275275276276276275276276275274275274276277277277276276275278276274275273273271269272273271271271271271270269273272268268270267269269267268268268268268269268268268268269269268269268268269267267267267267267267268267267267267267267266265265263264264264264265264262264262263261263262263259260260258260263263262260261262259260259258257258258258257257257257256256254254253253253253252252251250251250250252252254253254253253254253252251251250250250250249249249249249249250250251252252250251250250251250251249250249250252251252249251251251251252251251252251251251252251251251251251250251251250252250247247248249248248247247247247247247247247247248248248249249248249248248249249250248248249251250250250249246247247248247249249249250250249250250250250251251251252252253251253253253254252252252252251251250250250251249250250251251253252254255254255255255256255256254254255255255255255255254255255254254255255255255255255254253254254255256254256256252252252252252252251250249249248249248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294297297296299295293290288287281279278282288290294295294293295295295296296297297298299300298298298297296297299299297296296297298300298303302302302301301301300299296299298297298298299298298298297297295294293292290290288288286284284284283282281278277272271273271275276279289999999999293292999999999999999999999999999999999999999999999272267271269277278999999999999999999292291288288287288288288289289289290288287287287287287285285285288288288289288287287286286287288288288289288288288289289289288289288288287286287288290290288290288286284283281279279279277276274272268266265269270272273277278278280283286287288291293289291288287290290286284283283282284284286286285283283284284284283284284283282281282284283283282281282282280280281281281281281280281282281281280280280281280279278277277271274274275275275276277276276276276276275275275275274276276277276276276276277277275274273274273272272272271270270271271271271270268271271268268267268267267268268269269268268267268268269269269268268268266266268267267267267267267267267267268268267266266265265264264264264265265264265264264264264265265266267266262261264263261260260260259258258259258257258258258258257256255255254253252252253252252251251250251250251252253254254255255254254254254254253253253251251250250250249250250250250251252251251251250250251251250249250248250248251252249250251251252251251250250251252251251251250251250249250249249249248249247247247246249247246246247246246247246247248248248247248249250249249250249251250249250250251251251250249248246247247248250250248250249250250250250249251252252252252253252253254254254254254254252252251251250251251251250251251251252254253254253255255255255255255256256255255254253254256253255253253255255254254256255254254254254255256255255255254254254252252252251250250250249249249248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296294294293292290287286283280282284288290293293294295295294294295296296297298299299299299296297296296298298298299298298298300302304303303303302302301299299297298298299299298299299299298299299296295294292291290288287285284284283281278276276281274273275273276999999292999999999288289288999999999999999999999999999999999999999999274272275279276277278999999999999286289288288288288288288289290289288289288289289289288287286286285286287288287288288287287287286287287286286287288287287288287287289288287289289287289289288288289289288287285284282279279278277275274272266268271270272274275277277279282285286288289287289289288288290289286284283284283285285286286286286285286285285283284283281282282283282283282281282282282282281280280280281281282280281282281281280281280280280276277276274274275274275276277276276276275276275276276276276272275276277277277276274274277276274275269270270270270269268269271271271271271272272270271269270270267267268269269269268268268266267267267267267269269268268268268268268268268267267268268268268267267266266265264265264265264264264264264265265264262266264264265262261261262261261259260259259259260260259258257257256258258256254254253254253253253251251251251251250251251252253254254254254255253253254254254254255254253253252250249248249250250249251252251250250250250250249249248250252250249251251251251250249250251252252252252251250251252251251250248248249250248247247247248248247247246247245247247247247248247247247249249250249249250250252251252250251251251251249249250246248247249250249248248250250251251249251252252252253253253253253254255254255254255254253253253252251251251251251251251251252255254254254256253254256255255257256255255254254255254254254253255255254256255255254254255254255256255256255255254254253253253252252251250250250249249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295296292291293289284280282283283285288290292293295296295297297298297297298297298299299296297296296296298297298299300299298298301303303303302301302301300300299299300300299299300300298298298299298296294293291290288287285284283281279277274277281277279280279280281999999999999999999999290291999999999999999999999999999999999999999999281281282280280281283999999999288287288288289289289288289288288288288287288289289289288287287286286288290288288288287286287287287287286286286287288287287288288288289289288286286288287287290289289289289288287286283281280279278276275272268268270272272273274278283284286289288289288289290289288289290288286282283283283285286285287286285285285285285285284282282283284282283281281282282282282282282281281281282282284281282281281281281281281280280279276275274275277277277278278277276276277276277275276275275276277277278277277276276276276274275271271269268271271271270268271270271270271267270271270269268269268268269269269269269269267268267267268269268269268269269269268268268268268267268268268268267267266265265264265264264262263265264263263265264264262264262265264262260261262261261260261261260260259259258258257257258258256255253254253252252252251251251250251251251251251252252253253254254253253254254254255255256254255253252251250250249250248251251250250251251251252251250250252252251252252251251250251251251251252252253252251250250249249249249249250250249248248246248248248246246245246244247248247247247248247249250250250249249250251252253251252252251250249250250249248247249250249248250249249250252252252252253251254254252254254254254255255255255255254254253252251252252251252252252252252252252254254254254254254254254255255254255254255254255256254254254254255255255255255255254255254255255256256255255255255254253253253252252251250250251249 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291293292292288288286284283282281283287289291293294295295295297298299298298298299299298296296297299295296297297297298299298297298299301303303302302301302300301301300299300300300300299298298298297298296295292291290288287285284282280278999281280283283283282282282282281999999279276999999286287999999999999999999999999999999999999999279283285285283282281282283283286288287290288289289289289288287287287287288287288288287288287287286286287288289288287286287287287287287287287286286287288287289289288288288288287287288289288288288289289289289288288285283282281281278279277273270271272269270276280282285287284286288290289289289288287290289285285283283284285286286285285285285286286285285284281283284284282281282280283281282281283283282282282282282282281282282281282281281281281279279275275275275276276276274277277278275276275275275276274274273275277278274276276276278276276275274274274273273272271271271271270271271271268271271270269269270269269269268269268268268268268268269269269268268269269269270269268268268268267268268268267267268266265265265264264265265264265264264264264265265264266266266263262261262262260261262261260260260260258258257258257257258256255252256254254253252251251251251251251251251251251252252252252253252253254254254254255256255256254253252251252249249250251250250249251250251252252252251253253252252252251251251252251252252252252252252252251250250249248249250250249249248247247246248246246246246246246245246247247248249249249249250251250250250251254253252252252252251251250252250250249252250249250249250250250251251252252252252253254254254254255254254255255255254255255254253252252253252252252253252252250252253254255255254254254254256256256254254255255256254254256255255256256256256255255255255255255255255256256257256254254254253253253253251251251250250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291296294293291288285283281280281284287287290294293295296295297297299299299300299300300297297296295299297298297297299299298298298299299301303303301303302301300300303301300300301299299298298297297297296295293291290288287285285281281284999999282284284285285284283283280271270271276999281287289999999999999999999999999999999999999282284286286285284284283282282283284285288289288289289289288287287286286287286286287286286286286286286287287288288288288287287287288288288288287288288287287288288288287289290288289289289287289289289292291288288289288288285286285283280279277277278275273273275279282283287289289288290291291290291290291287289286283283283283284285286285285286286286287286286286288285285284284284284281284284284283283285283282283281281282281281281282281282281281282280280278275275275275275275276277277275275276274275275275276274275275277277277276277277277277277276275274274273272271272271270270270271271271271270268270269270270270270269269269269268268268268268270269269269269269270269269270269268268267267268268267268266266266264264264265264263264265264264265265265265262264264264263265263263262262261262262262262260259259258257257257257257256256255254254254253251253251251251250251250250249250250250250251251252252253254254253255255255256256256254253253253252251251250250251251252250250251250251252252252252252252251251251252251251252252252252252251250249249249248250250249250248248246247248248248247248248247247247247248249247249249249251249251251252251252253252252253252252253251251248248249249250251251251250251251250251251252253253253253253254253254253254254254254255255256255255253253254252252253253253253251251251251252254254253253253255254256255254255255255255255256255255256257256255256256256255257256256256255256256257256256255254254254253253253252252252252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295292288285280280282285285287289291293295296297300299300300300300300301301301299297295298298298299299299297298298298298299300300300301301301300301301302302300301300301299299299298297297297296295294291289288285287286284281283284283283283284285284284282281279274273268272277281289292999999999999999999999999999999999285286286286286285284285285283283283285285286287287287287286287287287287286286286286286285285285285285286287287287287287288288288288288287286286286286286285288287287287287285287287288289288288289289289290289292289288289289287287283285282280279277277275273276277278283285287284283285291291291291289290286290290285284283283283284284283285286286286286286287287286286285285285285284283283282284284283281283283282283282282280279280282282282281281282281280278277273275275275275275275276275275276275275275275275274275276276276276276276277274275276277276272273270273272271271270269269270270269269267268269270270270270270270270270269269268268269269269268270269270270270270269269270270269269267267268268268267266265266265262262264264264265264265265264264265266265264265265265265263264263263263262261261261259259258259257258256258257258256255254253254252251254253252252252251251250250250249249249250250251252251253252253255255254256256255256255254254254252251250250249250250250250250250250249251252252252251251251251250251251252253252252251251249249250249247250250250248247247247247248248248247246248249249248247247249248249250250250251251250252252251253252253253253252252252252249250250250250251250251251252253250252252252252253253253253253254254255255254254254255256257255255255255255254254252252252252253252252252252253253253254254255255255255256255256257257255255256256257256257256258257257257258257256256256256255256257256256255255254254253254253253253253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293289284282282284285286286287288292293296298299297298300300300300301301301299298298298298299300300300299299299299299300301300300300299300300301300300302301300301300299299301299297297297297295295293291291290287288287284284284284283282284284284285284283279277278999999999999290292999999999999999999999999999999999286287287286285284284284284284284283284285285286286285286285285286286286285285286286286286285285285285285286286287286286287288287288288288287286286287287287288288288286286285285286286287288288289289289289288288288288288289290289287286284282279278279277276277274281284285287287285287290291291291289288287290289288284283282283285285285286286287286286286286286286287286286285286286284283282283284284283283280280282281280279280278281282282281280280282281280277274273273275274275273274274275275275274273274275275276277277274277277277278276274277276276275274273271272271270270268270270270271271269269270270271271270270270270270271270270270270270271270270270269270270269269269269269269268268268268268267266267265265265264263265265264265263263264265263263264266265265265266263264264263263263263262261261260259258258258257257256255256257257254253254254253254253252252252251250250251251250249249250251250251252252253253254256256256256256256256256255254253253253252250251251251251251249251250250251251251251251252252252252252253252252251251250250249248249248251250250247248247247248248248247246246248248249250246249249249249250250251252251252253252253254253254253254254254252253251252250251250251251250252252253252252253253253251252254253253254254255255256254254256257257256256256255255255255254254254253253254252252253254253254255255255255256256256256256256255256256256257257257257257257256256257258258257256256256256256257257257256255255254254254254253253253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292288285284283285284284286288290291295296294296298298298299302301302300299298298299298297299300299300299300300300301302303302301301302300301301299301301302301300301301300299297297298297296295294294292290289289289287286286284284282284285285285284282281280280999999284289288999999999999999999999999999999999285288288287285284285285284285284284283283283283284287287285286286285284285285285286286286286285285285284285285287286286286286287287287288289288287287287287289289290289287289288288289288289287288288289290288290289290290289291291290289287286286283282282280279280280283284287287287286289290290290291289290288288289287285284283284284286286287287287287287287286286287286287287286285286285284284283285284282283282281281279278278279279281282282282281281280281280278275273273274273272271272273274274274274274274275275275277276277278276275276277277276273274274272272273272270270271270270269270271270268271269270270270271270270270270271270270270270271271270270270271270269270269269270270268268267268268268268267266266265265264264265265265265265266266266266266264266266265266267264264264264263262262261261260260259259258258258257257256257258258257255255255254254253252252252251251251251255252250250249250250252252251253254254255255256258257257256257257255254253253252251252252252252252251251252252251252251252253253253253253252252252251251251250250249251251249249249251248248248249249248248247247246246246248249249249249248250250252253252252252251253252254255254253255254254253253253252253251252252251251253253253253253252254254253254254254254255255256256256254254256258258258257256256255255255255255255254254254253253254253254255254255255256255257256255256256256255256257257258259257258257257257257257256257256255256257256257257257256256255255254255254254253253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290289283280280281281284286289291293298295296297296297298300300300299299298299300300299299300299300300299300302301302302302301301301301303302301302303302302304301301300300300298298298296296295294294293292291289289290288287286284285285284286285284282282282999287292294291999999999999999999999999999999999288287288286286284285285284284283283283283283283285286286285286285285283286285285285285285285285286285284285285286286286286286287287287286286287285286286287287287287287286286286285286286287288288288289289289290289292291291287288288289289286286285283281282281281284283285285286287288290288290291291289289287288288287285284284284284284285286286287286287288286287288287288287287287287284284285285287285282282282281281280278279279279279282281281280280279280282279276274274274274273274273273274274274274274274275273272272274273272274274275276276275274273271271272272271271272270271271271271268268271269269270271271271270270271271271271270270270271271270270270271270270270270268269270269268269269268268267266266265265266265265265265266266266264264265265264265265266266266265266265264263263263261261261260260259257259257257257257257257258258256253255255253255253252252252251251251251251252251251251251250251251252253253254256256256257257257258257257255255255255252252253252250252253253253252253254254254253253253253253252253253252252250251251252251252251250250251250249250249249248248249250247248245247247250251249249250251251252252253253253254252253255255255254254254254254254253252253250252252252254253254254253253253254254254255254255255254257258257256257256257258257256255255255256255255255255254254255255254253254254255255254256255255255257255256256255255256257257257257258257258259258257257258257258257256256257256257257257257256255255255255254254254254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292285279275277277283285289292294296297295295295297298299298300300300299300302299300299300300299300300299300301300301301301299297299301300300299300301303302302302301300299298298298297297295295295294294293291290291289288288285286285285285285284282283283282287291999999999999999999999999999999999999999288287287286286286285284284284284283283283284282285285285283285284285285286285284285284285284285285285286286285285285285286286286286286287286288287287287288287288288287286285286286287288287287288288289289289290290291290290288287287289289291289287285282283284285285285285286288288289290290291291291291291289288287285286284284283283284285285284286286286287286287287286286288287285286286285285284284282282280281281281279278279280278280281279280278280282281279279277276273274273275275275274274274275273275273273273272275275271274277277273275274272269271271272273273272272272271269271271271268272271270270271270271270270271270271271270269269270270271271271271271271271271270269269269269269270269267267267267266266266266266266265267266266266265266266264264264265266266267267266265265264263262262261260260259258257256256257257257257257257258255258254255253254254253252252251250251250250252251252251252250250252253252253254255255256256256257256257256255255256255254254254252251254253254253253254254253252254254253253253253253253252253252251251252252252252252253251251250250249250250249250249248248248248248249247247250249251252252253253255254255254254256256255254255255255254254252251250252252253254253253254254253254255254255255254254255256256257259258257257257258260257256257255254254255255256255255255256255256254256256255257258255254255256255257258256257257257257257256257258259259258258259259259259258258257257257257257257258258258257256256256255256256255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285278277277278283286290292294297296295294295296297300301301301300298300300302302300299299300301301300300301300300302300300299299300301301301300301304302302302303301299299298297297297297296294294293291289290290290289288287286287285285285284283283285283282999999999999999999999999999999999999999285288286286286286284284284284285283283283283283284285285285284284284285284284285284284284284284285285285285285286286286286286287285285286286286287288288288288288287285285285286285287287287288287287288287287290289289291291290290288287286291290289290289286286285285289289289289288289290291291288288290291291288288287286284283284282284283285285285286285286287286287287287287288287286286287287285284283282282280280280279278277279278277278279280280280279281279279280276275275275273274275275275274275274274273275275274275275274273274277275276275275270269270271271271271271271270270269272273273269271271271273272271270271270271271272270270270271271271272272271271271272272272271270270270270269268269268267267266266265266265266266266266267265266267266266265264264265266267266266266265266266264262261262260259259258258257257257257257257257257257256258255255255254254252252251251250250250249251250250252251250250250252252253255255256256256257258258257256255255255255255255254254254254254253253252252255253253254254254254254254252254254254253252253253253254253254254252251251251250252252252252248248249248248250249249251251252253251253253253255254254255254254255255255255255255254254254252252251253253253253254255255254254253253254255254254255255256258258259258257258259259257257258256255255254257257257256257256256256256258256256256258257256255256256257256257257257257258256257259258258258258258259260261259258258259259258257258259259258258258257257257256256257256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999999999274275277283284286291293290296294295294295296297301303301302300301301301304303302299302301302301301301302302301301302301299299301302301302302301303304304305304303301300299298297297296296295294294291290290290289290289288287288286285285285284284284283288999999999999999999999999999999999999999287288288286286286285286285285286284284283282283283285284284285284284284284284284284284284285285285286287286286286286286287286287286286287286287287288288288289289289287286287287287287288288288287289290289288289289290291291291290290289290291289289289290289288289286289288289289291291291291292291290290291291290287286284284284284285284284285286285285285286286286286285286283286286287286287286285283280281280280279280281279279279279279279278280281281279279278279278279277276275273274275275275274275276276276276274275276275272276277277273276275275273270270271270271270270270269271270270272273271270271273273273272272272271271271271270270271272271270271271272273274273272272270269269269269269268269268268267267266266266266266266265266266267268267266265266266265266266266268267267265265265265263261261260260259258258257258257257256255256256258258258258257255254254253252251251251250251249249250251251251250250251252254253254255256257257258259258258257256256255254254253253254253253253253253253254255254254253253254254254253253253253253253253253253253253255255254252252252252251251253252252250251251246250248248248250251252253254253253254254255255256255254256255255255256255256253254253253252253253253254254255255254254254254253254254255255255256259259258257258258259259258258258258258256256255256255255255256256254254254256255256258257257257257256257257257257258256257257258259259258259259261260261262263263260259259259259259259259258258259259256257256257257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999999999999274280289288289292294296295295294296294296298299303302301301301301300302302301300301302300300301300301301301301301301300300301301301301301299303302304305304304302301299299298298297293294291291292291291291290291291288289287287285288287285283283286289999999999999999999999999999999999999999288288286285284285285285283283283283284283282281284284284283284284283282283283283283283284284284285285286286286287287287287287287288287288288287287290290291289289289288287286285286287288288287287286287289289287287288291290291291289290290290289289287289288289287289289289290290291289292291289290289290291291289288285284284282281283285285285285286285285284285284283284284285285286285286287285282282281281280280282279280279277280281280279278278280280281279278278278279278277276274275275275274274276276277277276278275275274273276278277277276274274272270271270270271270270270268268269271271272271272272273273273272273273272272272271270273274273272273273273274273274274274272270269267269269270269269269269268268266267266266266266266265265266266266265266264264265264265265265267266263263264265265263262260260259258258256256256256256254257258258258259258256255254254254254253252251251251250248249252250251251251251252253254255257256258258259259258257256256254254254253252252252252252252253249256253254254254251252254253253254253253253252254254254254255254255256254253255253255255255250251251250251250248248249251252253253252254253252254254255255255255254255256256256254254255256256255254254252253253253254253255254254254254253253253253254255256257258259257257257259259259258259258259259257257255255255254256258255255255254254256254258256257258257256257258258258257256258257258258258259259261262262262261262262262261261261260260260261260260259259258257258258258258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299999999999284286999999281282287289291293292293295295296296296298299300303304302302302303303303301302301302299304303301301301301302301302301300300301302301301302303303303304305306305303301300300299298294295294291291290290291290291291291291289288287286285285284284283284285293999999999999999999999999999999999999288287285284282284285285284283283282283282282282282283283283282282282281280280281281282282283283283284284284285286286286287288288289289288288290290290289290289289288288288287285285287287287286287289289289288287290289289287291289289287290285286289289286289289288290290291290290290293285289289291290291291291288288286284283283282282283284285286285286285285285283283285285286285287287287285284283281281280280280279279280279279280280281279278279280281282280278278278279279279276276277276276276275276276276277277276276276277276273274274273275273274272271270271271270271271271269267270271271272272273274272272272273273272272273273272273272274274274273274274274274273274275272271270269268269269270269269269269268267267266266266267266266267266266267267266265265265265266265265266265265262263263264264264262260258258258259256257257256255257257257259259257257256255254254254253251251251250249250250249250250250251252254254254255256257257258258259258257257255254253253252253253252251250251252253257255255253253252252252253252253253252252253255253253254255256255255254257257255256252250250250252249249248249250251252253254253253254253253254255254255254254255255256257257255256256256257257255255253251253254254254255254254255254254253253254254255256257259258257258258257258260258259260259259259257255256256255255255255254256256255258257257256256258256256257256257257256257257258258259259259260263263261262263263263262263262262261261261260260260258257258257259258259260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301999999999999285287285284285288290292294293295294296297298298299300303304303303304304303300298302303304299304304301300301301302302303302301301300302302302303304302304305304305304304302301300300299298298295296294292290290288290292292291289288288287285285285287286286289293999999999287287999999999999999999999287286285283283283284285284284284283283283283283282282283282281281280280281280281281282282283283283283283283284284285285286287288288289290291290289289286289288287287287285288286284285286287286287288288289287289287288289288289290290289288287288288288290290289289291288291291290289291288289291291289290290290288288287283281280281281282283284285285285285284284283283285286286285286286285285284281280282281282281280280280280280280280280280278280280282283281280279280280280279276276277277280274276277277277276274276275277275277276277276276275274273272270270270270270271270271271270271271272270270272272273273272273273273273274273273271272274274274274275274274271274275275275273272271270268269270270270270269268268267267267266266266267267267267267266266266266266265265265266265266265265264264265265265263262260258258258257256256256256256257257259259257257256255255254254254253252251251251251251251250251252252253254254255256258258258259259259257257256253255254254254253253252253254254254255255255256256253253252253253253254255255255255254255256256256257256256257258257257253253250251250250249249249250251252252253254254254254254253255255255255256255255256256257257256256257256257257256255254253252253254254255254254254254254253254255255255257258259259259256257258259259259259260261260258257256256256256256256255256257258257259259259257257258256257256258257257258258258258260260258260261261263263264263263264263263262261261261261261260258258257259258259259259259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299298999999999286285289287289292294292295294296299299298298300299300303303305303301301302304305303304304302302303304303303303306305303302304305305304305305306306306305304304305302304303303300298299297295295293290290291291291291291290290289288285285285285286287288291999999999287999999999999999999999285287286283283283283283284284284284283283283283282281280281281281280281281282282281282282283283284283283283284283284284284285286286287289290291291290288288287287287286287286285285286286286287287288289288289289287288286288288289290289289289290290291291291290292291292291291291292291289289291289289288288290290289286284283282281281281281282282282283283283283283284283283285285286284285287285284282283279282281282281281279281280280280280281279278278279280280280281283281280279279279280279279279279277272275275273277277272277276275275275276273274273272271269268269269270270270270270271271271270272272272272272271272272273273272273274274273274274274274275275274272274274275274273272272271270269270270269270269269268267267266265266266267266267267266266267267265266265265266266266266265265264264265264265265263261259258259258258258256256257258258259258259258256256256255254254254253252252251252252251251252253253254255255256256257259258258258257258257256255254253254254253253254254256255255254255255255254254253254254254254254254256255256256255255256256255256257258257258257253251250253249249251251250250252252253254252253253255255254255255256255256255256257258257257257257256257257257257256255254252253254254254254254254253253253253253255256256258259259258256258257259259259260260260260258257256257257257256255256258258258258260260259259256258258257259258259257257257257259259259258260260261262262261263261263264263262262262261260261261259258257258259259259260258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296297295294293293291292292294295296297298298299298299300300302303303303303302301301299305305300299304304305300304304302304305305304304305306305305305306306306306305304305304303301301297297297298296294293289289288286287289291290289289288287285285285286286286287999999287288999999999999999999999286283283283283284282283284284285283282283283282281280279278280282280282282282282281281282282283282282283283282283283283285285285286286287290290290287286286285287286284284283284285285285284286286286288288289288288290284288287287286288288289289289292289291292291291292292291292291291289290291290288291291291289287282282281280280282282281282282282282282282283282283283283283285284285285286287284283282280281281281278281279280281280279281281278278278278279279283282282281279279279279280279279279278275275270273274276275275273274275275274275274273271273272271270270267269270270266269267269270270271271271270272272273273273273273273274271274274274274275275275275276276273273273273273272271270270270269269269268269269268267265266267267266266266266267267267267267266265265266266266265265264264264264265264265264264261260258258259258257259257259259259258258256255256256255255254253254254254253252253253253253255255255255256257258258257259258258258257258255255253253254253254254255255255254253254256255255254254254255255254254254255256255256255254256256257258257257260256258255255255253251251251250251251253253254252252253254253255255253254255255254255255256257257256257257258258256255257258257257255254253253253254254254254253254254254255255256257258259259259258258258260259260260259260262259258258257256256256257259257258257259260259257257258256257256256258257259256258259259259259259260262261262262262262262262263264263263262262262262261259258257258259259258259258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296297295294293293293294296297297298297298297298300301302304303303304303302301305304303304298305303304303305303302302306306305305304305305306306306305307305306305305305304302301301300300298297295293290287286286287288289291290289289288287285286285286283999999999999286285999999999283283282282282282283283284284284284283283283283283282281280280279279282277280281281280281281281282282282282282282283283283283284285286286286287286289286285285283283284286285284283282283284284284284285285285285286286288289288289288288288288288289289289290291291291291292291292292293293292292292287288290291289291288290289284283284281280282282281281281282282283282283283282283282281283284284284285284285284280279282279277282281282279278281278280281279279279280279279283282282282279279280279279278279278277275274270273273275275276277277276272273274273273274273273271271269270266266266270267268267270269270270270272273271273272272271270272274274272275272274271274274275274275274273272273272272271271271271270270269268268269268267267267267267268268268267267267266266266266265265265266265264264264264262264264264264262262262261258259259257257254256257258256258255254255256257257256255254254254254254254253253253254255255256256257259259258260259258259259259258256256256254254254255255255257257257256256255255253254255254254254254255255255256257257256257257257257257257257257256258255256256254254254253251252250253254253253254254255255256256255255255255254255256256257258258258257257258256256257258259257257256255253253254254254254254254255254255257257257258258259259259258259260258259260259261260259258259258257256255258258257257258259258257258258258257257257258258257258258258259260260260260260261261262262263262262262263263263263262262261261260258257257258258259258257257 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297295297295291291291294294296296296296297297298300301301302302302302304303303302305304302304303303301305305307307304306306305305304306306307307306306306306307307306306305303303301302302299298297298293291289288289289290292292292292288287288286285284283283282282999999999284999999999283283282283283283284284284285284283283284283282282281280280280280279281282281281281282282283282283282282282283283284283283284284285286286286286286286285285287285285285285284283283283283284284284284285287288289289289289288289287287287289288288289288288289289290290292292292292291292292291290292291289290290289290290289286285282283283281281282282280281281283283281283283283282282279281282283283282283283284283282283283282282282282282281281279280280280281280279280282283282282281281280279280280279277276274274274274274275277277276276275275274275274274273275275273271271271271271271271270270270270270271270270272272272273273272272272272274274274275275274273274273274275275273274273273272270270269270271271270269269269270269269268268268267267268268268267268268267267266265265265265266265264264264263263263263264263263263261262260259259257256256258258258257258257257256258257257256256255255255255254254254255255255256256256257258258259260259259260259259259258257258255255255255256256254257257257256255255253253254254254254254254256256256257258259256256258259258258257254255255257255257257254256255255254253253254254252254257255256256257257256256255253254255255258257257258258256257255256255257257257258257257257255253254254254255255255255255256256257258257259259260260259258260259259262260261260259258259259259259260259259258260259259259257257258258257258258257260257257258258260260260259259260261260261261261261262263263262262262261261261260259258258258257258258258257256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293291290288291291292294295296296298299301300300300303305302300302302302302305307303303304305304306305307308305304305304306305306305307307306306305306306306305304304304303303302301300297296295292291289288289291288289289289286287288288289289287286285285283283284282284999999281282282282281282283284284285283283283283283282281281281279279280280279280281280279281279280281280281281282283283284284285285286285286286286283282283283286283285286286282284282283283282282284284284284286287287286289284284284288288285287285288288288287290288289289290292291290292292291291292291289287288287290288287287288288283286284283282283283282283283282283283280284280281283282280281282282282282281281281283282281278279283280283282280280279280280280280281282282284280282282280280280280281280279276274274273274274272272276277278277277275274274270271270269274273268267267268271272272271272270270270271270269269271273274272272272272272274275272273274275274273274273273274274274271274274273270270270270270268269268269269269268268268268266266267268267267268267267267266266265265265266266265264264264263263263263263263263263264262261259258256256258260258259258259255256257257257257257256255255257256256256255256257257257258258257258260259257257259259260258256258256257255254254255256257257256254254256255255255255256255255255256256256257259259259257256258258258258258256256258258256257257255255255255255255252254253253256255257256256256256255255256255254255256258258258258258257257256255254256257256258257258257256255256256255256255255256256256257257258259259259258259259259259260260261261260260260259260259260259261260260259260259260260258259256258258258257257260259259258259260261258260261261262261260260261262262262262262262261261262260259258258258258258258259258257258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292289288288291291295294294296299299300299299301302301302302302302301304302304306304303304304304306306306306305302302304305307305303305306306306306306306305304303304304303302301299298297295292290290289289290290289289289286289290288289290289286286287284284284283999278280281282282282282282283283284285284283284283283282281279280279278279280280279280280279279279280280281281283283283284284284285285286286284286285285286284287287286284287285284283282282283281283284283284285287287288287287287287286288287287288288286287288288289289289289290290291292292291290290289291288288290289289288287290286288289286284283283283283283283283282283283280283282282283282281282282282282281281281284282280279282282282282280282279277279279280280279278279282283283282282281282281281280280279276274273274273272270275275277278278273276275271271271270275274273273273272269272271272271272271270271271271271270270271272271272272274272275275273273270275273275274273274276275274273273272273273272273271269271270269269269269269268268268267266266268267268268267267267266265265265265266266265265264264263262262262262260262263262264261261260259256260259260259258257257258257258257258257255256256257256256256256256257258258258258258259259259260259259260260258258257257257254254256256256255257256259257256255256256256255255255256256256257259259259260260259258259259258257259256257258258258257258257256256255255254253254255256255257256256255255255256256256256257256257256257258257258257256256255255257257257258259258257257257257256257257256256257257258257258259259258259259258260259259260260260261260259261261261260261262262262260261258257259258258257257258258258257259258258258260261260258262262260260261261262261262263262262262262262262261258259259259259259260259259259259260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297293293291292292293293295294296300297299299299301300301302302301301301303304303306304304304306304306306304305304303303305306306306305305306306307306307305305304304304304302302301299297295295291290292292291289291291289289291291291290289290288286288284286288287282280282284283283282282282282283283284284284284283283282281280280279278278279278280279279279279279280280281281281282283283283284285284284286285285286286286285287288285286288286284283282280281282281281280283284285287288287290289289287286287285291291289289290288288289289290291290290291292292290289288288288288286291289290288288287288286285286285284283283283283283283282282282282282283283283283283283284284282283284284280282280282283283282281281281280278280279280279280280281280282281281281281281282281278278278276274272272272271273273276277278279278277272272272272273274274274272272272273273272271271271272271270271273273273271272272271271272275272273272273274275274274273273272273274274274273272272272273273273274271272271270270269268268269268268266267267268268267267267266267266265264265265266265265264264264264262263262261261262263263262263262260261258260260259260259258257259258259259258257257257256256257257256257258258257259259258259260257260260261261261260259259259259257255253256256253254256256256256256255255256255255255254256258258259260260260260261261261259260257257259258258258260258258258258257257258256256255255256256255256256255255255255256255255256257257257256256257257258258257257256255257257257256258259258257256258257257257257257258257258257258258259258258258260260261260261261261260260260260261261263262261262263264262262262259258258256256257257259258259259258257259261260261262262261262263263261261262262261262262261263263260259261260259260259260261260261261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303300300298296296296294291288290289294294296296299299300300300302301303300301305304304304304304303303305304303304306305306305303306306307305305306306307307306307306305305305304304303302301300299297294292293292293293292292293293293293292292286288289287286289289285287286285287284283282283281282283283283284284284284283283282280279279279278279280280280281280280280280279279280280281281283282283283283284284285285285289289286286287289289286286287285285284285283283283284283283284285287289289288289288289288287290291291291289290290290290288289291291289291291290290291289290289292291291286288288288288288288286287287285283282282283283282282283282284284281281282284284283282284284283282284283283282283283283283283281282282280282280280278279279280281280282281280280281280280279279278276274273274274274272274274275277278278278278277275275276276276275274273273273273274273272272272272272272272271272273271273273273272272272273273272273272273270272271272270274271271274271273273271270273272271271273271270270270269269268268266266266267267267267267266266266265265265264265266265264265264264264264263261261262261262263263262263261260260257256256259259259259258259260261259259258258257257258257257257258258259259259259261260259260259263261261258259259259257258256254255255256257255256256255254254255255255254256258258258260259259259260261261262261261261260260259259260259261258257260259257259259257257256257257257256255253255255255255255255254255255255255255257257256257258259258258258256257257256258257257257257257258257258258257257257258257258258258258258260261260258259259259260261259261261262263262262263263261264264265265263260259259257258259258258259260260261261261261261262262262263263263262261262262262262262262261261260260260259259259260260260260259260261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306306303301300299298296293289285283283283291292295293298300299301299300300299299299302303302303304306303304305305303303306304303305306305306307307305305306308306305307305305304305305304304301299299297295296293293292293293294292294293292290290290289290287287289288287286287286285285282284999282283282284284283284285284283283282280279279279278277277278278279279278279279278278278278280280280281282282283283284284285284285284285284285286285284285285284281285283283284281283282282282283284286287288288288289286285284288289289289291288287289289288289288290289287288289290290288291289289289288289288289288288288286287287285286284282282283283283282283283282283280280283285285282282283285284282282282282282283282283282283282282281279282279276279281280279279281278279278280280282280280278277275272271275275274274275274275273277278275274276276272273273276273272274274272275272273272273272272273273272271272270273272270272271271272272270271273272269271270270269271272272272270273272269269269272267269270271272271270270267268266266266266266266266266267266266266265263264264264264265265264264264265264264263262261262262262262263262262264261260258259259260258260257260260261262261260260260261260260259258260259259260260260262261262261260261262260261260259260258258259255256255257255256255255255255254254255255255256258258258258259260258260260261261261261261260261260260260258258259258258258259260258258258258257256255257256255254255254255255255255255256256256256256257256257257258258258258257258257257257257258258259258258258258258258257257257258258258259258258259260260260259259262261258260262262261262264264262262263263262265266266264261259261259259259259259260261259259258260259260261261262263263262263262262263262262262260259260260259259259260260259259261260262261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311305307306307303302299297295290282279283287288291292295296296298299299299300301298299302302302303302303303304303303305304303306302305305303305307307307306306305306307306306306304304304304303302301301300296295296293293293294296295294293292294293291290289290289286288286286287286285285284283282999281282283284284284284284283283282281279278278278278276277278279279279278278278278277278278279280281281281282282282283284284284283285284285285285284284284283286280282282281282283283282284282282284286287285288286289288286288287289290289287286286288288289290288289290287290289289291291289285287289288290288289289287287286287287286284286285283284283281283283283281284285282282286283282283283283282283283281282282284283284283282282282282283277278281280280280279277281279279281280282282279279278277273273273276275275275275274275274276276275275275274272271273271274273276274273272272271271272271273270273273273272272271274274272273273269269269270271271272273269269269270271273273274274273273272271271270269269270270270268270267269267267266265265265265265266265266265265265264264265265265265263266265266264264262261260261262263264262261262262263261259259260258258260260262262263264264264263263263262261262262261261261262262262263261261259261261261261261261260259258259257258256256258257257254255255254253254254254256255256257258258259259260259260262262262261260261260260261260259259260258256256260260259259259258256256256254253256255253253254256255257258258258258258257257256257258256257259259259258258258259258259260259258257259259258258257258259260259259259258260260263261260261262263262261262262261260263263263263263261260262263266267265263260261260260259261260261259258259259260260260261261262261261260261261262261261260260259259259259258258259259258259259260263262260261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311311310305302304303303301300291290286285284284287290292292293295298299300299299301302300301301302302303303302304305304302302304303304305304304305305307307306306308305307305305305306305304303304302302301300300292296295294294295295294295295293295295294294292291291290289286287285288284283283285284283281281282283283283284286281282282282280278278277277276277278278279279278278277277277276278279279278280281280281282283283285285285284286282283283284284288284286288285281284284283283284283284287286285286287287289287290289287289287289290289288287287287289289288288288288290289290290290289291290288291291290290290288288288288286287286287287286284285284281283282285283284285284283283283283283283281284284285282283283282282284284283283283281281281282281280278279279277278278279279279281281280279276277278276274275275275274276276274275278281280278279280277275275274275276276274274274273273271273273274274275275274274272274273271273273272273271273271271270271272272271273272273272274275275273273272272270270270270271271270270270270271269268269266267265265265265265266265267265265266264265266265265265266266266265263261260261263264264263263263264264261259259259259262263262264262264263263263262263263263262263263262261261261261259260260260259261260260260260261260259257259258259257258258259256255255255253254253254255255256258258259260260260260260262260259263261260261261260260261260260260258259258259259260259259258256256255254255255254254253255256256258260260259259258258258258257258260258259260260258260259259259259260260260259259259257258258259260260259258258260260261263261259262263262260261261261261260261261264263261260261262263265268267265262261260260260261258260260260258260261261261260261261261261261261260260260261261260259258259258258259258259258259259260261259262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311308306307305304304303306299297296295294290284282286287288290294295296297298298299300298299300300303301301305305303303302302303305304304303303303306305306305306305306308306305305306306305305303303303302302301302302299298296298297296297297297297299297298298296293291291291288287285289285999287285282999280279279277282285284285283282280280276276277277278275277277280278278278277278277277277277277278277279280280280280281283283285285283285283284284284285284283282280283280284283281283282281282283285287283283284287288290288284287287289288289288288287286288287288288289289288288289290284288288288288289287289289288286288288287287286287288288287287285283283283283284284283281285282281281281280282280282281282283281283283282283285285284281282282281280280279280280279279279280279279278278278279279278274275277276276275276276276277274276276280277280279280278275274275274275275275271274275273274273271272272271271273274272274272271271273272270270273271271271274273273272268269271271274274270274272271270269269269268268270271270269270269269267268268266265264266264265263265267266264265266266265265264266265266265264263260260261263264264263264262260263260259260258258262263261267263264264264265264263264263262263261260259260260259259259260260259259259259259259260260259259258258258258259257257256256255255254254253254255255257258258258259259260260261262261261262263261261262261262262261261259260260259259260259259259259255256255255256257254255256257257258259260259259259258258258257258256258258259261260258258259259260259260259258258259259258258258259260259257258259260261263262264259262262261260260259261260261262263262262262261261262262263265267266265266266263260262261259259258260259261261261261261261261261261260260260260260259259258258258258259259259258260259258260262261262260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302999302301304307305304300302305305301300300294296297292288285282283286288292294296299297299300300300300303301302301300301301303303303303302302302301301303303303303301303304304304305304305304301304304305301302303303302302301296298297294292295296296298296298298297297297297295293294293291290287286290999999999286281278275278280281284283284284282281279277276277276276275275275277278278279277277276276276276275275275277279280281280280280281283284284284284282281281283283282280282280280284282282282282284281282285281284284283284287289290290288287288289288289289288287287289287287288288288288287287288285286290291289287289289288288288288289288288286285288287288286285285284283283284281282283281281282279280281281284284284284282283283283283283281285282281284281280280280278281280279278279277279278278278278278279279276278277277277276277277277276276277278281280281281279277275275275276276276276275275275274274273271273273271272274270272273272271272273272270272273273271272271270271271270268269271270274273274272271269268268269270269270269269269269267267267268267266266265265266266266267266265266266266266266265265263265265263262262260257261263265264264262261262261260259261261260262264262268265265265264264263263264263262260261261259260260258258259260258258259258259259258260260260259257257257258257258258258257255256254255254255256257256258258260261259260260261261262262263263263264261261263262263262259259260258259258257257258257255255256258256256254255257258259260260259259259259259257257256256255257257259259258259259259257260259259259258259259259259259259260260258258259259262263263265264259261261261262262261260261259259261261261261263261262261263266266265267267267265265265262261259260259260262263262261260260260260261260261261260261260260258259258258259258259259259260259261261262262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303301305300299999999999306307305298296295293292283284283281283285287292295297300299299300300300301303301301300300301301301301302302302299301300299300301300300301302302303303303303305305304304303302303301302302301301300300299301297296297296297298297298296297297297297295295295293292291289288285280999283285280277280282282283284283283282281280277277275274273276274275275276277277276276276276276276275275275275276277279280280280280280281282282284285284283280282283282283282286280281281281280281285286285284281282285288288288287287289289287287287289289288287288287289288288290288288287288289286285288289289288288290288289287285286289287288287287288289288286285284284284284282281282283281281281280281280285283285284284284281282283284283280280281281282281281280279280281278280280279277278279278278278279279279277278277277277277277278277277278278278281280281278279277275274275276276275274274274275275274273273273273272272271272273273273272272272271270272273272271272271271271270269270269269273274274273272271270270267269269269269269268268270269269268268267267267266266266266266267267265265267266266264264264265265265266263260260260262264264265261263262262261263262262263261260264265264265264265264263263263262263261260260259259257257257258257258258256258259259259259258258259258258256256258259257258258257255257256256255255256257258258259260260261261260260261262263263264265262263264262265263262261260258259260261258260258256257255257257255256257256257258258261261261260260259259258257255256257258259259257258260258257258258258258258258258259260258259258259259258258258262263264264265264262260261260262263263263262261261261262261260260262260262263266266268268267267265265265264262259260261261262263262261262263260261261261260260260259259259261260259259259260261261260260260260262261260262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307301295294999287281279281284289290290292296293297296296296297299302299300299299300300300301300300302303303302300301301301301300302302302303305304306304304304304305305302300300302301301301301301299297298297297297297297297297297297297298297295295293292290289288286283280281281279281282283284283283283282281280277276275274274276277275276277277277275276276276278278277278277275275275277279280281281280280280282280283282283283284284285284286286284285283282284285286285284285284285287287290289288289289289289287288288289288288288289289290289288287288287287288288287288289288288290291289288288289288289288289289289286289289288288285283282283283281282282283282283283282284285284284285284285284283282283283283282285284283283282284281281281281281280281280278277278277278278278278278277277277276276277278278277278279278279280281280280280279276276275275274274276275276278277276277276276276274275276275274275274273272272273273272272272271271270270272270269271271270273275273273273272270269270270269268268267268268269269269269267267268267267267267268268268267266266266266266267266266265265266265263261262263265266265266265264262263264264265265265265263266264265265265265263264262261263262261260258257257256258258258257256257258258259259259259259259259258256257257257258257261258257256255255255255255255257258258258259259261262261261261262263264265264264263262261261264263262261259260260261260261261258258257257257257257259260260260261260261261261260259259258258257256257258259258258257258257258256258257259260259259259259259259259259258260261264264265265264264264263259261260261262260262264262259261261260260260261261262263266266265265267266268266266265264263263263263264264264263264264262262261261262262262262260261261260260259259259259260259261260258261261262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305300296287999999999278280284291293293295296299299299298299297298299296295295298297297297297300300301302301302299299298301302300300301302303305303303303303304305305304304303302300302301301301299299297296296296296296296296294296295296297297296296293291290288289286285281281280279280282285285283282281281282282276273271272273277277277275276279276276276275276277277277276276275275274276278280281281282280280282282281281283284282282282281281281282282282282285284284284282283283283282281284287286287288289289288288287287288289290290289290289288288287287288289287287287287288287289286291288289287287288287286287288287286287289287286284283282283283282283283279283282280280284286285284281283283284282283283283282282284284285282282283283280281281281281280279279278278278277278278277277278278276276278279279278278279279280280278281280279279276275276276274272276276277275277273271275275273275274275275275275274274272274271273270272271270271271272272271270270270271273275274273274271270270268269269268268267267267268269269269268268268267267267266265268267266266266267266267266266266265266265263263262263265266265264263265265263262264263264265262263264266266267265265264264264263262262261259259259259257258257257257256256256258259258259260260258258257257256258257257257258261261259257255257257256256256258257257257259259260261262261262262263264264263263264264264262262263262261257260262262263262260261260259261259257259261259263262262262263263263262260259258257258258255258258258258258259258257257258258260261261262259259259258258258262263264267266265265264264264264262260261261260260262264263261261261261262262261262263268266267268269268269269270269266266265263263263265265265264262262262262261260260261261260258258259259259259260259259260259262260260258261261261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283279999278282288290293295297298300300298298298296295296293294296296297296297296299300300301303302301296300300299301300300301303304302302302300303303303303301302301302299299299298298297298294294297295296296296294294295295295295295294293290291289290289285282280279280282284284286283281279278280278274271272271272274277276276277277277276276276277278278277277276275275275275278280282282281281281282281281280280283283283283286284281285282281282282284286284285282281280282285285289288287289289285286288288286288287290292288289289288287287288286288286287286287288288287289286287289287288286288286287286287285289288289285284283283283283283284284283283282279281285285287285282282283284283285283282284285284285286283284283282282283284281281281281280280278278277278278278279278278278277279279278280279279280280281280280280279278277278275274274277276278279278277277277277274275276275274275273272272272275276274274275274272270272272272272272272271271271273275275274274271269270269270269269268268268268268269270270269268267266266266267267266267266266267265266265266267265267267265262263263265266265266265263263263262265264263264265265264263265262266264264264265264263263261260259260260259259258257257257256255257257258258259258260259258257259256257260259258257260262259258257257258255256256257255258259260259258260260261262264263263264263263264263264264264263262262261260262262263261260260263262259259261265264263264263264264265264264263263261259259259258258257258258259259260259259260257260261262262261261260258260261265265266266268267267265264265266267266264261262263264264267265264262262262262262261263267269268267267267267265266266268267267266264263263265265265263262262261261261261260259260259260257259258259259259258259260262261262261262262262263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280279278281287292294296297299300300299301298295297296294295294297297298298297296299299301302302302297300301301300300300301302303303302300304302303301301303301301300301301301301299299295295295297296295296294292292291293293294293294293291290290290290287284281279281283285286285284281276278278276276272272271273275275276278276277278277277278278279278278277277276276275275278280282282281281281280280280281280283285283285282284285285284283283284287287287285287283283284285286288287286288288285285287288288288290288291292288289289288288288287287287284285285287288289289287289289289289284287289288288286289288288287282284283284285285283285284283282281280280281285286285283284285284284285284284285286286286288286285284283283283283283284283282281281279279280280279280280281283281282283282280279280280279281281282281281280278277279279274275278278279280277277278276278279276277276276274274275275275276274275275275274273273273272272271272272272271272273275276276273271271268268270269270269269268268268269270269269267267266266267266267267267267267267264265267267267266267265264263264265266268266265264265265265265266265265264263263266266265266268264266265265264265263261261261261260259260258256256256256255257258257257256257258259259256259258260259260257258260262261259258257256255258258257257257258260257258259261261262263264263262263265266264264265262262264261262259263262262261259260263260260259258262264264265265265265265265265266264263261261262261261259259260260260259259259259260262263261262262262262262264265268268269268268267266265263264266265268266264264265266265264264263262261262261261262264266267266267269268266265266266266265267266265265265264266265263262263262261259260259260260260259257257259261260261260259259260260261261262261262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289284278278285292294296295295297298297298297296296297299298297298298302302301300299300303303302302302302301301301301301301301302303303304303303303302302302302302302302299298300298299298298298297296297297297297295294291292293293292293292291291290289288287284281283283283284285285283280277278275272275277273274273274277277278279278278277278278279279279279279278277277276274276279282282282283282281281281282283284284284286285284283285284283285285286284285287285287285286287287288288285288287287285285286288288289289291289288289290289288289287287287286287288287286288288288289289289287290290289289289288289289287287285283283283283285284283284282282282285286286285285281282284285285284283284283285285286284286286286286283285281280283283282282279281280280281282282284284281281280283283282281278280282281280281281281280279276274277277279276277277276279278276276275273273278275277278276274274275271272271275273275273272272272272271272272272270271273274275275275273273272269269270269269269269269269268268268267269268267266267267266267267267267264266267267266268266265263263263263263266267267266264263264264264263264264265263264265263262263267266266267266264264267265264264262263262261259258257258257256257257257257257258258258258256257260258260259258258258257261262259259256257257256258257257259259259259259260261261262261263264263265265265260262265264264264265263265262260260261260259263262263261261260263265265267265266266268268268266266264265264264264263262262260261261260261261262262263262262263262263264265266266267266266265266265263264265265265267267267267267268265266264264264263262262264266266266268268268268267267267265263265266266265266266265265265265263264264263262262262259260260260258258258259261261261261260260262261260261261262263264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289283286283281281287293295296296298298298299299296296295294295295296297295298297296298297300301300300301299299300300299298298298300300300303301301301302302302299300299300302302298297297297299297293295294294294294293294293292293293292292289292292292290289289287287284285285284285284283282280281278274271272272272273274274277276276277277278280280280280280281280280279278278277276276279281282282282282281280281279282280282286283283285283283283284286286286283286284286286282286288287290289288287286287288286288289289289290289290290288289288288288288288288288289288287287288288285286289289289287285285284286287289292290287286285284284285286283284283283283281279279280287286280284284285284284283284283284284285286286286284283284284284284283282281283282282282283284282285283284284283283283281282282281280279279279278279280280279277276277277276279279277277280278275275275275276274276277274274274273276274276275274274275272273273272272272272271270270271272274275275275275274270268270270269268268268268268269269270268267266267267267267268268267268268266267267267267266265264264264264265266267268266267266264263263263262264263262264264262263263265264264267266266265265267264265265264264263262261260259259258257258257256256256257257258257256257258259258257258260258258260260258254257256255255257257259257259259258260261260261262262263264266262267267266268264267266263265264263261263263260260260263261261261262265265265265267264266267267269268266266267266265264265265262262261261262261263261263262261263263263264264265266266266266265264265263264263264264265264266266267267267266265264264262263264262263262266266269267268267264266268265265265266266264266265266268265265266265264262261263262262262261260261258259260261261260262260261262262262262261261262262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999289288281286290294292296298297296297296296295295296297295296295295296296297294297296298298299297299296298299298297297298299299301301301301301302302300301300299299298301300299296295297296296293294294294293294294293293293292293294291290290293292292291288287287287287286285286284284284283281278273271271272272274276277277277277277278278280281281281281281281280279279278278277276278281281282282282280280278279279280280283284284283284285285285286285286286286287285285285286288287288287287288286287288287288288288290291292291290287285285287289288288287288288289289290288289290289289290288289284287286287286287288287288286287286286286286286285283283283280280281281287285283283284284283284283283284283283286284285285284285286285286284283284284283283284282284283284284284284284283282281282282281278278279281282281281280279277277277278279278281280281279278276278278277277276273274275273273274278277273272275274274275273274274272272272272270271271272273274275275275275274273271270270269269268266267268269268269268267267267267268269268269268269267268268268268265264265264264266265264266267268266265265264263263263263265263264263262263263263268268264264263265266266265266265266265267264263263262261260259259259257256254256257257257259259257258260258259261260260260260260257257258256256256258257259258259260259260261260261263259261262262265264267265266265268266264264265263261259260262260261262262262262262265264263265265264265267268267267266266266266266264265264265264265263263263265263263262262263264264265264265266266266265266264263263264263264264264264265267266266266265264263263263262262262264265268269268266267266267269267265265264264263266266266266266266265265264261264264263262263261261260259261261260258260261262262263263262263262261262262262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999999289289289285292294293294294296297296298295295294294296299295295294295296298298298298298298299295300298296296298296295300299299300301300300301301303303301300301300301301300299299296296297296296295296295295294293293293292292290291291290292292291292291290289288287287288288287286285284284283281278273273272271273274275277276277277277277278278281281282281281282280280279279278278277278280280282282282283282282282284285285285283283284283284285286287286285286287286287286287287287287287287287287287287288288287287289290290291291291291287287288290290291289289289289291289289289288289288288289289288289289289288287290289287288288286285285284286285282282286287286287287288287287283285283284284284283284284283285283283286286286285285288288286284285282281286281281283284285283284283283282280280282281280279280283283283281280279277277279280283284283284285285283280282283281283283280279277276277275276276278273275274276276274274275273273273273271271271274275276274274275275274273272270269270269267266268268268269267268268268267267269270270270269268269269269267266265264264264266267266265265269267267268267268267266266266265265267266265264266266268269267266266267267267267267266267268267269267267266264263261260259257253255254257258256259258257257257257261260260259259256258258259255257255256256257258257260259259261257258259259257258261262262264265265266264265264264264268263263261262262260262263263263263262262262264265267265266267268266267267266266267265266266265265266263262262262265265263262263264263263266265266266267266266266264263263265264263264265264266266267266265264264263263263262263264267268269268265267267265267266266265265265264265266267266266266264266266264261264263264264262261261260260260261262261260261262263263262262262263261261263262263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298290290288292293293292293294295295296295294293295298299298299297296300298300298298298297298299300300300300301300300303303301301301303301302302301302302301301303302302300301300300296299296293293292293290292292291292291291291292292293291292290289290290289288288288289288288288285285283282281278272273272273272273274275275276277277277278279281283284284283282280280280280278278278276279280281282282280282281277280281280282284283283283284285286285285285285285286286286286286286286287286288286287288287289289289287290290290290290291290288288290289290289289289288289289289290288288290289290287290290288288288288287285287288288285283283285285284283282285285282284285282282282280284283282283282284283284284282285285286284285283285282285286286284283283283281283284285284283283283283283281280280280282281280282282282281279278278278280283285285279284280281281279281281281276275278277275276276277276277276275278275273277274274273273272273271272272274275276274273274275275275274272270269271269269269269270271271268268268268268268269270270271268269269269267266266265266264265265267267266268269269269269265266264266267267265267265265265264265267269270266268267267267268267267268265267265268269269268267264262257257254256256255257257255257257257257256258258259258259257255258258256257257257258255256259260258260255254259257258259260259262260263263264266266266266264263265263263263263261261261263263264264266263263264265266266266266266266264265265267267267266266266266266263264263264264265264264264261264266265265266265265266267266266265264265265265264265266266266267266266264264264263263263265267267268268267265264266265265264264265266265263265265266266266266267263263264264264264263259262262261260265263261259260264259259261261263263262263263263263263263263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999999999293292293293292292293295294297296295293292292297297298299300297298298299299294298298297297298299300299299300300300301301300300301301301301302303303302302298300299298298298297297296293296293294290292291292292290292292291291291292293292291291291291290289289288289289290289289288285284284280277270273272272272272271274274275275276277277279281283283284282281280280279279278277280277278277280282282282282282283283280279280283284283285285283285286284282281285286286286286286285286286287286285287288289290288289288290290289289290291291289288289288288289289287288290289289290288290291290290289289287290290288290288289285288289287287282285285285284284284284283286282284282281281285285283284284282284284283284286286285287282283280283286284283284283281283282284285286284283283283284283282281281282279284283283282281279278278278279281285285285282281282282279278281282282277276276275277276277276275276275278278279278275274275273273273272272273273275276273274275275275275276275274272271270270270270271270270270269266269269270270270268269270270269267267266265266266265265265266267267268269268267269269269267264264265265266264265267267267266268269268265267266267268268268268268266267265266267267267265266261261259256257255256257259257257257257255255257257256256257256257258256260258257259258260256258256255255256255256257259261261261259261262263264265265265266265266265263264263264262263264264262263263264263262263266266267268267268267265266266268269268267266266266266264265264263264264264264264263263265265265266264267266267266266266265267266266265265265266267266265264264264263264265268267268268267266267267266264267266268262265265265263263264265266266267267264264264265264263259262262263260261260261262260262261261261261262263262263264264263264263263264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293301298290999292294296294294294293294294292291291290292295296296297297296296292292293295295297297297296295298298299296299300299300301300301300301301301302301301300303302298297296295296297296296294294294292292293291290292292292291290289290291293292290290290291290289290289290289288289286285284284283281278273273272271271272273273274274274275276276278280282285284284282281280280279278278278277278278281283282282283283283283283281279280279285282281285284284285285283284286285285286287288287287288286286287288289290289290289290285288288289289289290290291291290290289290288287290290290288291291290290290284285287288289289288288289289289287286286285284282287286285288283284284287283282288287285283285286283284285286285284285287284288286285285286286284282283282283284285285284283282283283283283282280280282282283284283282281279279280280281282286285285282283284282277278281281281281280276275278277275272273275276279278279277275275274273272274273273276275276275276276276275275275275275274274273270270271271272271271269268267270271272270269269269270269268267268269268267266266266266266267268268269270270268269267268267266266268264265266267267268269269270266267266267267268269270269269268268265267266267265264265264263262261260258257259260257256255254255254257254254256255253253257250254257257258258258260253255255255254254257258258260260261261262262263264265265265265266266266265265265265263263264264263262265265264264265266269265266267267266266266267267266267267265266266266266266261264265265264264261261265265265265264264265266266266265266267267267266265266265265265264268265265265267269269269268267266266265266266265266267262264264265264265263263264264266267266264264266266266264263263264261262262261261266261261263262262262262263263263263263263263264264264262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296291291292298297295294291286289289289290289290291293292295295294294295294294296297298298296296297298298298299298298299300301300300300300299300301301302303302301302300300299298296296295294294293294293293292293292293294293290289288289290290291290290290290289289290290289289288288288285287285282280277274273273273271273274274274273273274274274276278281283284283282280279278277277277278277276278281281282283283282282283284284284284284285284283283284285285285286285286286285286287286286286288288287286288288287289288288288289287288288289288289288289289289288288289290288290289289291290291290290289290287288288290288289288287289287287285288285287287287286283286289289288287288288287287287286285285285285283284286284285285284284285285285286285284284283284284283284287286282282282283283281281279281282283283283281283280279278279278282280285285283283283283281284284285284282282283278276277276276275276275275277277279274273273277273274272273275274275276274275276276274275273274277276275273272269271272272271270269269269271271269269270270270269269268268267268267266266265265266267267269268269269270268268264268267263267265263263265269269270268271270267268268268268268270269269268268268268266267269267265266266264264263261258260259259259256256254253252253253252253252254251252254259258256257256255255255254259256258258259259260260261261261261262262262264265266267266265265266266266265263264265265265264265265265265264265268265263266267267267266267267267267268266266266267266266263265262264264263263265264264265263264264265265266266265266266267267267266267267267266266268267268267269269268268266267267266266265266265265265264264265265265264265264265266267265266265264263264264265262261260261260262265262263261261261262263264261261264264265264263265265266266264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300296292292297296294292290290287287289289288288290287290294288289289290293292293296296297297295295298297298297298299299300301299299298299300300300300301301299297296295294299297296294294294293292292292290290290292293292292289287287288289290289290290290290290290290289289291288288290287287285283277276272271273273272273273272274274274274274275276277282284284283281280279277276276276276277276278278280282283282282283281282281282283282280281282281284285286284284282285285286286286286287285286287287287287288288288288287287287286289288290288289288286288289287289288287287290290290291290290289289288290288285286289287286288290290289284287287284287288286288282281284285286283285286284288287286287284282283284283284282283284283283284281286284284285280280280279279280282282280280279280277278277277279282283282282281280279278278279280282282285284283283283279279280282280281282282282277277277277275273274274274274277277274274272276274274274274273274276276274274276276275275276276275275275274273271271270271270270270271269272272269271271270270269269269268270270267266266265266266266269269269269270270268264266264266268267270268268266269270270270271270270269269269270269269268269269269270268267268268269267267266266264263262260261258258257254255255253252253254253254252252254253255258257256254255254255256258258258259261261261262263263262262262262262263264265265265265265266266266265267264264265265266265264265265264265264264265265265267267268267267266266267268268267267266266266265264263263262263264265265265265265264264264265265265265266267268268267268269269268270269269269268270270267269267266268268266265264265265264264265265263267264264265265263263266265265266264265266263263263263261261261262262261260261260260263268264262260265265264264265264265265266265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297293295295292288291290289286285285286288288287287286287286287291291293293296296297299297296295298297296298299299297297301301299300300300301300300300300298297296296298295297294293294294293292291291290290290289289288289289289288287289292292291292291289289290288289290290290287287287286284284282278273274273273273272272271273272274274273274275277280284285284280279278277277277276276277278277278280281282282283280281281281281282281284284282284284286286286284283285285286288286287285284284287286286287286287287286286287287288284289290290288288285288289286289291288289289290291291291287291292287286288288286288288288287288289288288288287281283286286287283283286285286285287288287287287286287286283283284285285285285282281284283281284283282285283284279283280284282281279280280277276277280277281282282281280280279278278278279281282282285283284283283281284283282283284284282282278277273277276275273274275277278274276273273275274274274274274276275273274274276277276275275276275275276274274272272272270270270271270270272273271271272272271270271269268271271268268267266266267267269269269270270270268267265268269271269270267269269269269269270270270269267268269270269268268270270268269268266267269267267267266265264264262259259255257253253254253254253252253254253252252253254255255255251252254255256259260259260259262262262262262262262262262261262263263263264264265265265265266265263265264265266266265266265266266264264265266265266267267268267267267267266267268267268267264265265263263262262265265265265266265265264265265266264265266266267268266269268268268269270270269269271269267267267267267268267266267263264265266265265265266265265265266264264265264264265265264264265264265264265263263263260261262262260262262262263261265263264265265264265267266266266265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303293293292286286287290284288283282285282285284285283284285287289290291295293295296296297297298295297297298297296298298296297298298298300299300300300301300296296298297296296295294293293292293292289289290291290291289289288290288288289288292292292292291290290290289288290290289289287285285284282281276274274274273272272272271272272274274274273275276280284285284280279278278276276275276278277277277278280282282281281281281280285285286286285285283287286286286287286284283286287285284284285284285286286286286287287288287287289289288289290291289287286287285288289290289289290290290290289290291289290288286287286285290288287286289289287288288287285285286287287286289289289288288288285286285288287285285282283285285285284286285283284284284283282284284284284280281283282282281281282280280280281279281281281280277279279277276277283281282285282285284283283282284283282284285283285282283280275277276274275275276278277277277276275276275274275274274277275276277276275278278277277278276277275274274273274272271270270270269269270271270268271271272272271269269272271269267266266267267267268269270270270269268269271268271268269270270270269268271268269270271270268269268268268269267270270269269268266268269267267267266265262263261261259257255253255255255253253253253253252252250250253253254254255252255256259261261258260262262263262263262263262263263262262262262263263264265264264265264265265265264266267267267265266265265265266265265265266267267268267268268266266268268266266267266266266265265265264264265266267266265265264264264264265266267267267267267269267269269268270268272269268266268265267268268266266265265265265266263264264265265265265264264264263264265266264263265266264264264264264263263262263261262262262264260263264263263265265266265264265267270267266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303295289289291294290288284282284284282283283282284284284285285287289290291293294295297296297297297297296298298299297298298296300299299298299299298299300300299298298298297297296297297295294294294293294294292293290290288288290290289290289289290288290290291291292291290289290289289285285284284282282281279276274274273272271271271272272272272272271273275278282283283279277278277276276275274274277277276277280281281280282281280281285286280281282283282282284284284285285285285286287287286285285285284286286286286285285286287288288290285289290288286288287289287288290287290288290287286288290290292290286287284288284284288289288287288289290288288287286285283284284284286283286286286286287284283282282282284281283284284285284284284284285285284283282284284286283280275280282281279278278280280281280280280281281281279278279279277278280282283283285285283282284285283283282278279280280279283280278276276272272273275275277275273275277278276275275272274274275278277276277274276276277277276276275274273275274272270270270271271270271272272271272271271271271270269274272272268266266266266267267268268269268267267267267266267269266271270271265271271268268269267269269268269269269269269270269270269268267269268267267266267265265263261260258257256253253254254254254253254253254253251251254254255256257255255258261259263263262263261263264263263263263263264263263262262263263263264263266265265266267266266267267267266267266265265266266265266266266267267267268269268268268267268266267266266267268265264264264264265264266265267266265264265265266266267267267266266267267269270269270269268269268267267266266267266266266265264264265267264263264265264265265264264266266264265264265262267265266267265265260263264262262261262262262263263263260263261262267265264264266266266267267266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299290285285285288284281281281280281280280278281281283282282283287289290291289291294296296297297297297297296298297296295298299296297298299300297298298299298299298298295295294295294294294293292292291291291291289290288289289289290290289289288287287289288290291292291289289289287286285285285282282282280278276275274273272272272273273273273273272273273275278282285284280278277277275275275274275276276276279282283283281279282281282282282279281281283282282281285282284284286286285286286284286286286285285286284284285285286288288289286289290288290287287288289286288289289289287287288290291287289290289289288289288289287287286287287288290291289288288285284283284284283284285285286284288284284284284283283285281284284284285285285283283283285283283284283284283283278279279279277276276279281281280281280280281280278280279280280277278281282283284284283284283281284284281280280279285286285285280278276276275275274273275275276275277278277276276276276274275277278277276276277276277277277276275275275273275275274272271271271270272272272272271272272272271272270271272273273269268268266267267266266267266266267267267268268265269271270270272272272267268267267267269270269269269270269269269269270267268268269269268265268267265265263261260258258257256254254254254254253254254255254250252254254257256258257260261263264262263265263264264264265263264265264265265264263263263264263264264265266266266267266267266266266265266268265265266266265266267267266267267268269269268267267267268267267268267268266266264264265266265265266266265265264265265265266266267266266267267269270269270270268271270269269267267266267263265266266266266266265265265264264265266265264264264264264263262260263263263264264262264263264264261262263264263262262261262264267260263266265266266265265267267266267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295287284286285287280280283282282280279280279279281281280283283284285287288288291294295295295295294295295295295295296294296296297298296298299298298298298298298297297297296297296296296293294290292292292290291291291288289289290291289288288287289288288288288291291290290289286287285284283285282280281280279277275273273272273273273273274273272273273273274277282284284280277277275275275275275275276276274277280283282282279282282281281280281284283283284284284284285283283285286286282285288288286286285285285282286285287288288288288289289287289290290288289289286288287288286289282288287285288289288290289288288289287286288288288288289290290288289287285285284287287287283283281282285287288286283283284285284281282282284283283283282282284283283283282281282283285279277277279279278280278281280279280282279279280279279277280280278279280282282284284282282283282283284280279280278280281283284281279275276275275276273274275276275278278275278277276274274276277277277275275277274277277277277275275275273272273274272271270271270271272272272272272271270270272272272273273272269267267267266265265264263264265266267267267269268267270270273272268272271267268267269270270269269269269269269269271268268266267268270268267268268265265263261261258257257256254254254254254255255254254253253254255257258258259259259263265264262265265265266267267266266265266264266265265264264263263263263263265267266266266266267267267265264266266265266265266267267268269268268268268269269269268268268268267267266266267266264264263266266267266266265265265265264266266265267267267268268269267269271271270268269269266268267268266265266266264265266265265266265264263264265265266265264264263264263263262264264265265263263262262262263260261262264262263264263263261264266264263268266266266265266266267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288283282282285285284282282279279278278278279279280282283283284286288290289290292294294295295295296297297299296296296296296298297299298298298298298297298298297296296297296294295296295295293293293293292293293293291290290289288287289287999999289288287287289290289290289287286286283285282282281281280281280279277275273273273273273273273273272271272272273276282284283280277277275275275275276275274276274277279282279282282281282284283284283284283283284283284284284283284285286286285285285284285287285286285283284285288288286286287289289290285288288288288289288285288288289289287290286285288289289289286286286286287287287285287288289288289287286284286287286285285286284285283284285287286286285285285287287288285286285283284285285285283285285283283282284282281282281281281281281279278282282282282283282280282281280278280278281281282281282282283283284283282284283284282283284282283284284282279276276276276276275275276276278279279279275274276276276277277276277277278278276277276277277276275275274275275274273272271271271272272271271272273273272272272273273272273272270268268267266264265264264264264267266268267267268268267268268271269272272267269269270270270270269269269270269271269265265265266268268269266268267268265263262259260260258256255254255256256254256253254255252255254259259261260259262264264265264266266266267268268268267267267267267266266264263264263265263263265266265265265265266267267265268266267266265266266267267269269269269269269269269270269270269269267269267267267267266265265265266266266266266266265264264265265265266265268268267267267268269271271268268267267268266268267266266265265265266265265266265264265266266264267265266264265265264263264265265266262263263261262263263261263263262263262263263263264265266265265268266267266263266266266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999296290283283284284284282278278278279277277278278279278278280284282283286286287290289290292292292291293293296295297297292296296297297296297298297297299297297297297296295295295295295294292293291294293293293292293291291290290289287286284288999286287288288288287288290289289290286286284284283280282279280280280279280279277275273274274274274273273274275274274273277282285284280278277277276275275275275276275277278280283282282280283283284283284283283284284283284285285285284284284285286285286285284285286286283284285282285286286286285289289289288289288285285287287288289289286289289290289287289285289288289288288285287286285286286286288288288287285284284282284286285284284285285283282282282285287287285284286286285285283282283283283284284283281280282279282284284282278280279277278280281277278282282282282279280279278280281277280280281280279280281281282282281281280280279280282281281281284284282280277276276276275276276279276276277278278279276278279277277278278277278276276277277277276276276275276274275274273273273272271272272271272273273272274273272272272273274272271271269268268267266266265264264265266265265268267269268266268267268271267268268268269269270269270270269268269269268268268266266266267266269268266263266264263263262260260260256255254254257257254254257254255256256257258259259262264264264266265264266266265267269269269268269268268268267267266264265266264264264265266267266265265266266267268268268267267267267267267268268269269270270270270270270271270269269268267268268266266264266266265265265265266265265265264265264265265266266267266268268268268271269269269268267267267267268268265266266265265265265265265264265265265266264265266266266266266264263265265264265264265264263263263263263263262263262262264264263265265266265265267266265265263263264268267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286999293287284284283284285285282277277277278277278278278279278280281281284285286288289288288290292293290293296291293298297297297297298297298298299296297298297297298297296296295296296295293294292294295291294293292292292290291291289289287286284289286287288290289289287289290289289288287286285284282280280281280280280279280278279277276276275275274274273274273273274274276281285286283278277278277276276276275275275276279280281281282280284283282282283283283283285284285285285285284284285285285286283286285284284283285285284283285285287288288287289288288287288285285285285288288288289288289287288288289288288287289287285287286287288287288287286287288286285287285281284285285285284285284284283283282284286286285285286286285285285284282281283283282283283279280278282283283284284282278276276280280278279282283282277282280281281281280280282281281280281281282277280283283282279280281282279282282283285285284279277276277276275280280279276276276280279277278279278279278278279278279277278278278278277274275276276273274274274273272272274273272272273274274273273273273272273273274272271270268268267267267266265265265265266265265265264265266264268268267269268269268268266267269269269268268268269268267267266265265266267267268268266264264262263262261260260259257255256258259258256255257258256257259259261262263260262265266265263265265269268268270269270269269270270270269269267267266266266265267266266267266266266266266268267268268268269269269268268269269270270270271272272271271270269270269269270270268268269267266264266265266267266267266266265264264265266266266268268269269268267268269270269269267267267266265267266267264265265265265266265265265266265265265265266268267266266266265264264265265266263262264263263263263263262263263263263264264263264265266265265264264266265263262266264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294288284282283284288287287284282276278276277278278277279280280281281281283284286286286288289291294294295294296292298298297297297292295297297296297296296295295296296297296296296296295293292293294294293292292292291291292291291291290289287286284289286290290290290288288288290289290287286287288284282280281280279280280280278278280279278277277275275274274273273273274274276281285285283277278278278276276276275275276278279280281281281282284284284282282282282284284284285286285285283284285285285285284284284284282284285284283284284284285286288287288287288285283287286288288288289288287289290288286290290289291288289287288288287287288288286286284287288285285286285287287286283285284286286282284285283286285284285285285287287286287288286286286284285286283284281282281281281286282282283282282282282283282281282283282282281281281281283283284282281281282282280283285285285286285283284283286286286287285285282283280279277276276281280279279278278280281277279278279279278279279280277278277278278278276275275275276276274273275273272273273274273273273273274274274273273272273273273272272270269267267267265266266266266265266266263264264264264264264266268266265266266266265265267267265266266267268267267268266267266264266267267267265265265261262261261261260259258256257260260259258257258255256258260259266262263259263264264263263264266267267269270269270270270270270270271268269268268267267268268267267268268267266268269268270270270270270271272271270271272272272273273274274272271271271271270270271270269269268268266267266266268267268267267266265266264264265266267268269268269269267268268268269269268265267266267268267266264266265265265265265262265265265266265266267267267267266266265265265265265265263262264264262263264263263263262262263264263263264263265264264264265265263265266266265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295289287284280280280287283280279278276277276277278279280279281282284284284284283285286287288291291293292293296296296298298297296296296297297297296297296295296297296297297297296296294293293295295294294293293292292290289292291291290290289287286284286288290290290290290289288288288290287287287285284283282282281279280281279280279280279278277276275275274274273273273274273276281285286283280278278278277276275275275276276278279280280278281281282282284283283284283283283284286285285285285285285285284284285284284284284284284285285285283286286286287288287284287288288288287288287287288289289286290291291289290289286288288286287286286284286287287286286288287285284286288289285285286288285287285287287287286284284287288287285288282284285285285284283282284283279279281283280279280281281284284281281276281280279282282281281282282281281283285283283282282282278281280284285285286286284286284282285284285286288286285278280280280279281282281280281281278279278278278279278278279279279279277278277278279277276276275277277275274275273273273272273273273272273273273274274273272273273274272272272269268268268266266265266265266266265264264263262263264265268268268264264264263266268267267267267267267269267266267265265266266267267267267266263262261263262261263260260258259259261262261259261258259261260261261262264262264263265264264264265266266267269270270271272271272272272271271269270269269268270270268268269269268267269270270271271271272271272274274274274274274274274275275274274274273272272272271271271269270269266267266266266267268268268267267266266266264264266266267267268266269267267270270269268267267267266268269267268265264264265265263265264265265265266266267267267267268268265266265264265264263263263263262263263262264264265262262264264264263264263263262261263265266263265265265264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306301291283283281281280283283277279278277277275276276278278279279280281282282281282282283284284288289288289290291291295296297297297296297297296295295296295295296295294295295296295295295294294294295294295294293293291291288291291291290288289290999289289288289289290291292291291291289288288288287287284284285284283282281281281279279278278279278278277277276275274273274274274276276281285286283280278277277278277277277277278278278279280281279282281283283282282282283284282284285286286285285285285284285285285286283284282281282284283284283284283284285284285288286285287288288289287289289289287288290289290289289290286284286285283284286285283284286286287285285287284284283286284286285283283286286285285285285287288285285285285284283282284285284284283282282284285279279280284282284281280282283284283281279280281279283282280281281281282283284283281283283283284282285284285285285286287285286284284286286284284283286286284282280281279279282281283283281280280281280280279279278280280279278279278278279279277276276276278279276275275274274273273272273273273274274273273273273274273271272272272270268269269267266265264265265264264264265264263260260265266268268268266265266267269270269269269269268267267266267266265264265266266268266267266263262264263262263260259257259259261262260261261259259260260261261261260263263263263265266265265266266265267269270271271271271270271272272271270270270270271271271271271270270270270271272272273274274273273274276276274275275275275275275276275275275274274273272272272271271271270268267268268267268268268268268267266267267265266266267267268268268267268269271270270270267268266267266265267266265266265266266267265267267267265266267266266267267265265266265266265265265264263263262262263263262263264266264262263264264264265263262262265262263266263264264265264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307297293290283282280280282282281276278277276275274275277277278280281281282282281281282282283284285286288288290290289289292293296294296296296297292296296296295296297294294294294292292290293294294293293294293292293293290290289292291289289290290288999999289289289290292293292291291292290289288287287287287286286285284285284283281280279278278278278277277277276276274275275276277276277282286287284280277277278278278278278278278278279280280280282282282281282282281283281284283284284285286285285286284285285285285285285284284284283281284283284284284284286285287288287284285285288288289289289287286289289288286288289285285288285288284283284282282283283285287286287287284284282286284285280284283288288287286286286288285287288286283287284287281283284284283281283283285280280279281283285284278279281281284283282281281278284284282281283284283283284282283282284285287284286285286286287287288287286286285287283286287286287287285283280280278276278282283282279279282281280280279279279279280278279280279278278278277276277276276279278276274273272273271272273273273273273272272273273274273272273272272270270270269267266265264265264263264265264264262260262265266268268270269269267268270271270269269268266267265264263264265265264264264265266265264262262263263262263262260259259260261262262261261260259260260262264260262263265264265265265266267266266267266267269269271271271271272271272272271272272271272271272273271272271271271274274275275276275275275277276276277276276276276276277276276276275275275274274273273272270270270269269268268267268268270269269268266266267267268266267267267267268265268268269270269270268268267266264265264263267267264267265267267268267266266267267268268265267266267265266265267265265265265264264263264263262262262262262263264263264264263265263265265264264266264264268265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298283280281278276275275273278280277278278276274274276277277279281281283284282281281281282283284284289290289291293295296297295296295295297296296296293295296296296295293293292291289290290293293293294294294295294293293293293293291290290290290290289289290289290291292293293292292293292290290291290289288287286286286286286285284284283282280278278278277276276276276276277278278280277278281285287285281278277277277278277276276277277277278279278281282282280281281280283283282282284285285285285285285285285284284284285283284284284284282283284285285285283285286286287287287288289288288288288289287286287288288287287287289288289289288287286285283282279278283286286287285286287286286287286286287287289288288288287287287284287285286288289286287287285284282283281284284283283284282284283284285285285284283284284283282286285286285282281284281285286284288287287289287290291288288289291289288290288287286286288287287286287287286286284282281280280281281280281280281280280281279280280280281282279279280279278279278278277276276278279277275274271271274273272273273273273272273274272272272273273273271270269269268268267265266266267266264266266265264261264264264265267268271271271271270271271271269270269267267267265264265264265265266265266264264263264263264264263263261261260260261263263264260260261261260262262264262263264265265265266265267267267266266267267267270271271270272272271274272271272271273272272272273274273274273274275276277276277276276276278278278277278278278278279278278277277276276276276274274273274274272271272271270269269269270270270269268267268268267267266267267267267267268269269270270270270269268267267267265265266265268265265266268267267266266266266267267269267266267267266266266266265266266264264265264263263262262261261262262263262261262262265265265267265265261263266265265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293288280273274275274276279278279277276278277277277277278277279281281284285285284286286286286287287289289289290293295296296296296296296296296296297296296296296296295295293292292292293292294292292293294296296295294292293293292292291291290291291291290290289291292294294294293292292292291291291292291291289288287286286286286286286286285284282281280278278278277278279279279280280279279279282286288285283279277277277278278278278278279278280281281281282282282280280280282283282283285287285286284280282284284285285284283284280283285282284284285285283283286286287285288287288289288288286287284286285288287287289287287286288283289288288283287286284282280278280281285285283284283282286286286284285285287288287289287286283283283285285283284284285281281284283283282282282281281282281285285280283282284281283283283282279280283282282283282281280287288289284285287289287288286287288286287287286287284286287290287287287287288287288285285283280280282283281282280281281281280281280280278280281281281280281280279279278278278276276277277276276274273273273272272273273273273273273273273272270271271272271271269269269268268266266266265266266268267266266264266267266267267271272272272267268268269269271269268267267267267265266263263262264265265266264264262263265265263262262263262263261261260265260262262260262263263262263264266265265265266267268267267267269268268268270270271272272273273273272272271274274273273273274275275275276275276277277277277277276277277278278277278279279280278278279278277277276276277276275274273272272272272273273272270270270271271269270270269269270269267268267268268268267268270270269270269269268266266267267268267268267266266267266270269267266266267268268267267267267267266265266266266266265265264265264263263263262260262259265264260259261260266265265266267265263262263263264266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279273272270274276275279274273277276278279277278277278279279281282282283283283281280283283285287289292289290292295294295296296297296296296296296296292294296296294293292291289289290290290292293294296296296296294288291292291292291291291290290291291293293295296295295293291290290290291291291292291291289289289287287287287287287287286286285283282280280279280280281280281280280280281280284286288286283281278278277277277277278279279279280280280279279280280281282282282282283282282285284285283283284283284286284282281284284284285284284282285285286286285285286285288288287287286286287286284286287288287286286287285286288287288290289287285284282282284280284283284285285285284283284286289285284286286288289289284286284282282283284286287285284280280282280281282282285282284284283282281280284281282282285283282284280280282281284281281285284286286284284287288287289288288287289287286286287287287286286289288288287287287289287286286282280282281282282283281282282282281280280278279278279282281281281280279278279278278275276277279277276274273274273272273272273273272272272272272271270272271271268268268269268267268267265266264266268267267266266266267267268269271272272271271272271272270269266269269268267268268266267265263262263263264266265262263263265266264262260263263263260260260260262264262260262263264264264265265265267266267268268268268267269269268269270269270271272274275274272272271273274273272273275275276275276278277278278277277278279279279278279277280280280281280280280279277278277277278277276275273274273273273273273273272272271273272272272272270271271269268268268267268268268268270271270270270270267268267266267268268267268267266267267269268267266267267268266267267268268267267267267267266266265265265265264264263264262260260261262260260259260260264264265266265263263265262262264266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278277274272274276278279279275275276276277280280280279278280281283283284284283282280282283285285289288290291291292294296296296297296296296296296297296291293295295293292289287289290289290290292294295296296295295292288290290291292292292292292292291293295296296295294292293292291291290291292292292291291290291290289288287287288288288288287287285284282281282281282282283282282284281281282286287288287285282280278278277277277278277277279280281280280278279280278281282282283284282283282282282281281286286282285284282284281285286282284282285282285286286286285285285284287287284286283287286285285288288288286286288284283285289288289287285285281283281283283282284284285282286283283284286285286286286286287287288286284283285283283283283282281281280279281283281281282284286286285283283284284283285283284285285284285282284285284279284285286286288286285284289288288288287286287288286290287286287289289289289288288287289287289289287287284281282281282282282281283283283283281280279279281282283282282281281280278280279277277276277277277275274274273272271272272272272272272271270270270270271271271270270270270267269269269267265268268268268267266265264268272271271272272272271271270271271270271269269269269267267268268268267265263264262265266266264264264265266266263263262263262262262260260262263261262263263264264264264265266267266267268268268269268269269268269269269271271272273274274272273274274275274274275276276277277278278278279279279279280280279280279280280280281282281281280279279278279278278278277276276274274272272273273274273273272273273273272272273271271271270271269270270267268267267269272269271270270270269267267269268268270269268267268269269267268267268269267267268269268268268267267267267266266265266266266265264264265263261261261261261261260262261262261263264261261261261264264262262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275276275276277273272273278278278278278279280281282280280281283285285287287286286287288287288289289289289290292293295297296296297296296296295297296296296296294292293291292290293293293294296293295294296295296296294292291289290291292293292293293295296297296296296295294293293292292291291292291291289291291291291290289288289289289289288288287287286284284284283283283283283283284281281283286288288288285283280279278277277278278278278277277278277278279279278280282282283284284282283280282281284280283285283284283281281282285285284286284284284285286286284287285284286287285286286288286285285284287286286287287288288286287287287289286285284282281278280278281283282286285286285285286286286287287287288288288287289287289287286288288288285287285280282282282280281284284285287288287287286285285284285286285284286284285286286285285284286287285287288288288291292289288289292293292291287289288287288288289290289287289289289289288288288286284282282282282282282283284284283279279278282282281282283282282282281280279279278277277278277277275275274273272269271272272273271271271271271268270270271271271270270270272271272270269265266269268267266265266266271271272271271272268272273272271271271271272266268269266268267268267268266265266266265266266263263266265265267267266266267267266266264265265264263265265265266265266265265266266266268268270270270269269269269268269269270272273273274274274273273274275275275276276277278278279279280279280280280281280280280279280281281280281281280281280279278278279278278278277276275274274274273273274274274273274273274272272274273271272272272271270268268268268270268268270272271271268268270269269268269268268267268269268268268269269269269270269269269268268268269267266266267267266267266266265263264264263263263262263263260262263262263262263262262262261263262261263262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282281275277274276272274274274276276276277279280282281282280281281284285286286286288290290291285285287286290289291292294295297297297297296296295296296295290292289288292291291291290289290291292294294293292296294294294293291291289290291292293292294295297295295295292290293291292291293292292292292292291291292290291291291290289289288287287287288288286286286285285284284284284284284283282282285286287289288285283282279278277277277277277278279280279280280279281281280281281283284284283284282284281282284284283282281278277278278277281281281282285284282285286286285284283285285285285287284286286286284287286286285285285287287286287288287286284284284283282280280283281285286287284285285286288286287286287287287288289289289289287286282285284286286286285281283282283283280282283284285284283286282280283283286285282284280283283280282280285287288288289289286287288289289290288287287288288286287287285289290289290289290290290290289289288289287284283281283282282281284284284283283279281282282282281282282281281281281280279278277277279279279275275275275272271274271272272270271272270269270271272273273274272272270274273273272268270269268268268265265264267270271271272273271271271272271271272271272271268268268265268268268268269266266267267267268266265265264264264266267267268269268268268268268266265266264265265267265265265264267267267268267270271270268268269269268269270270271273274273275274273273275275275276276276277278278279279280280281281281280281281280280280280281282281280280280281279278279279279279278277277276275274274274275274274273273275273273274274275272272273272272271269270270269268269268269269271269270270268270269269270269269268268267269269268268269271271271271271271269267269269270268267268267267268267267267266265265264262264264264265264262261261260263262261261263263262264263262263265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284282277275274275276273275276277277275277278279281282282282281282283284285286286288289290290291290290291289291292292293295295297297298297292292293291289296291288289291290288287286288290293295292295293293296293294294293291289289290290292293292291292297294294294295292293292293290290291291293292292292290290291291290290291290288288288287288288287288287287286285285285285286286284285285283285286287288289288286285282280279278277277279279279277278278278279280280281281281281282283283283280281281281281284283283283282281280278276279279281281283283283285284281286284282283285285285285284282283284286285285284286284284284287285284285289289284282284284283282280279283284286287288288285284286287287286287286287286288290289289288289286285285284287286287286285282284285285285283285284283285287286283288286288283284281282283287283280281282286288289290287289287287290288289290289286285287289290288287287288290289288290290289291290290290288288288284283282283281281280282281285285285284284283283282282283281281280280280280279278277277279277276275273273273273274275275272272271270271270271271273274275274274275273273273273274270270272270269268266265264263269272272271269271272272270269270269270271270269271271271270267269269268268268267268268268267266266267266265266266267268269269269268270270270271268268267265266268266265268268267268267267268269270269268269269269270270270270272273274275276275275276276275276277278277277278278280280281281281282282280281281282281281281281281280280279279280279279279279280277277276275276276275274274273274274274275275276274275273274273274273273271272271270269269268269268269269271271269271270269270270271269270270270270268269270268270271270270269271271271267269270270269269268268267269267267268267267265267263264265263262262262261261263261264265264264262263264264264259265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282280276275275276277274275276277277277277278279280281283283283283283284285285285287288288289289290290290291290291291292293294295297292298292293292289295294289292292292290291289291286289293291293296296296295294294293294294293292289999287288289289289294298298297295295292293292294294292293293293293292292290291291291290289290291289289288288288289288287289288288286287286287287285286284283284287288289289289288286285284281281278277277277277277279278279279280280281279281282282283283284284284279282285284284284284284281281280281281281282284285284283286285285285285283282282284285285283284282283283285285284282287283285288286287285286288288288288283284285284282283284285286287287287284287286286287287286287287287288288287288286287286286286288286286286287290289288289285287286288289289287288285287286286286287286288286287286286286286288290292292292291292292291292290293289291285284288291291289288287289290289288289290292290290291291289288287285285285283283283282283285282282283285285285285284283284282283279280281279279278278279280279278277275276275275275275275275272272272271272272272274275277274275276275273273271271271273272270267266266264264267270272271269268269269271270270269269268271272271271272271271270269270266267268268269269268266267267267268266268267268268267269270270271271273272273272269270270270269269270269269269269269268268269269269270269270270270270269271272273275276276277278277278278278278278279279279280280281283282283282281281281282281281280281280280279280279280279279279279279278278277276275277276274274274274275274275276276276275275276275275272272272271271271271271271270269270270271271271271271270270270269270271271270271269270270271270271270269273272271271270270269270270270269268268268267267266267266265264263265263262267261263262263263262263263265265265262265262266266264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286277277275275274274277275277280280279280281281281282283283284284283283286288288288288288288288289290291291290290290290292293292294297295298297298296295294293293291290292290290290292292294294294294297295297297294294294290293293292291290292289999288289294297297297299297297297297296294295294294294294294295292293291291292290292292289290288289290291290289289288288288286286286286286285284285286289289289290289288287286285283280279278277276276275275276277275278279279279282282282283282284286284285285286285284283286283281280280278278276282279280280279281281285285282283284282284284287286285282282286285284284283286283287288288287283286288286289286282284285283283283284285285286286285285287286286286286285285286286286287285287287287289288288289288288289289289291291288290289289284285289289285285286284285286285285289288287282282283288290293293292290291288292290288292287286286286285288287287289289289289289289289290291292291288290290290287287286285284284284283284283282283283284285286286286284284285284283281282281280278279278280280279277276274273274272274275275275274272270272272274275277275276275274275273272273272271272270271271267266265264265267270273272268272270268270270269270268269272273273272271272272271272269268269267270270270267268268268269268268269270270269269270271272272272272273273273273272272271270269269270270270268268268268269268270270269268269269269270270272272274277276277278278278279279279280280279280280280281283283282282282282282280280281280279279280280280280280279279279279279279277278277277278275274274275275275275275274276277276275275274273276274274272270271271272271269270269270271270271271270270269269271269270271271271270270271269271272269272270268271270270271270271270269268267268268267266266267266267263265266264263262262264263262265266265265264263264261266268269265264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285999299999271271273273273275276277278277278278278279280280281282282283284284284286286287287287289288289289289290289289290290289289288290292293294293295297298297297292291291291289290289289288291290291294294295297294296295295295294290290293291292291293999999289292294297297297298298297298298296295295296297297296293297295296291295290294294294291290290289290290289288288288288288288289287287286286285285287289290290290289288287286285283280279278278276276275277278279279278280281282282282282281281285282280279286285279280282283280281279279281281276280279279279281279278284286285284282285286285284286286285285285283283284283284286287289287288287287290289289287283282286282279279282286286284283286285286288288286289286287287286287287287287287287289289290289289288289290290291291289288286286286289281285281286286285285285286284285287285284284288286292293292289292292291291291290288287285284285287286287287289289289289289289289291290290293292288290289288288286285286285284285285284283284286286286287285286285286286285284284282282278278278280281281280278277274275276275275274275275273276276274274276276275274274274272273272272273272273272272273272269267265265265270272272270272273271269270273269269269271271271270271271271270271271269267268269270270270270269268268270269269269269269270270270270273271272273273273274273273274273272273270272272271270269270267265269269271269270270269270274271272272273277277277278279279279279280280280280282281281281282282282282282282281280283281280279280280279279280279280280281280280278277279278278277276275275274275276275277276277278276278277277274275275274273273271273272271270269269269270271270271271270270271270270271271270270271269270270271271273267272270269274273270269269269269268268265266266266265265266267266267265264263264263263262263265263264263263265264261264264264264263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292282281277999269270270272272276277277276279279276277280280280281282282283284286286285286287288287288288289289291291291289290289289288285286286289292288290293293291294293286290289290290290289291292293291294296296296295295295296295295294295293293290999999999999290293295297297297297297298296297299298298298297298297296296297298297296296296297297293291290290291290290289289289289290290288288287287287286285289291291291290290288288287285284282279277279276277278278279279279279279280281279281282283283284280281285283283281282280281277276278278278279278276277279281283281286286287286286286282287284284286286285285286285285286285285288289287287286287287287288286288285283284283281275282286285286287288286285288289289289289289287286288289290290289288290290289290289290289289290290289288287286287282284281282281280280282285285286283281285286286288290292293291293291289291291288288286287287286284287290288287287287285289290289287289291290292292292289289289288289286285286283284285285284285285288286286287286285284285285283283283282282280280280279281280279277277277277277274275275276276274277276275274275276274272272272270272272272272272273272269273271270267266265267271269270271272271272270270272267271268270270270271271271270270271269271271270269270269269271271270269270270270270271270271271271271274272272273273272275275275274275275274275275274273271271270269268269270271269268271269270272272274275273275277278278279279279278280281281281283283283282283284283284283283283282282281281281281280280281281281280279281281280278278278278278277276277277275276274276277277276278278279278277277276277275275274274273272271269271271271270271271271272270271271271272272272270271270269271270268268272272272270271271267271269269269269267269268266267268266266267265265268265264264263263264265263266266264262262264259262260261263264266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271271269269273276276276277275277278278279281281282282283283283282282282285286285284285288289289289289291291290290291290290290290289291291292292291293293292292293291291290294292292293292295293294293296296297296295297297295296296293294293288999999289292292296297296296296298298298298297297297298298297298298298298298296296296296297295297297295294293292292290290289289289289289289288287288289288288287291291291291290289288289288284283280280279277278276277276275275275275275277276277278279278281279279281281282279280279279278278277277277276278277277283283284284286285285287287286282286286286286284286287286282285283284286288286288289290288290289290289289287286284279280277280286287287289287289287289289290289288288289290290290291293292293293292290290290290289289289290288287287286282282281284285285285285285286287286287288287287289292293294291291293290291289287287288289289287287288288291288288287287285288289288289290289290290290293291291290289288287287289285285286287285286288289288287286285284283284283282282282281282281279280280280281278279279279279277276276276274275276275274275273274272271271272271270271269271271270271271271269272270268266267271272273273271271271272270270270269271270271269268269272274273271271270274272272270271270271272272270270270271270271272272271272274273273273275272274275274275275276276277276276276276275276275273273273270269271269269270270270272272271275274276277281281281281281281281281281282284284284283284284283283284282283282281280280280280280281281280280280279281280278278277277278277278279278275275275276278279279279277279279278279277278277275275275274274273272271271271271271271271270272271271270271270271271270270271273272271271274272268269271271271270269266267268268268268268267266268268266266266265265264264263264264265262266265267266264262263262262264266266264267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999273271272272274274273277277277277278278279280281282283283282283284286286285284285286285286287288289288288290290291291288288289289288292291286289290287292292292292295291291292292292293293293294294289292297298297297296296296296297295295295295999999289293294296296297296296295295294295297297297296298293295295298298298297297299293297297296296296297296293291290290290290289289289289289288287287287287286289290292292290289288288288287285283280280279278280279279279278278278279279280280279280279278277277277280278276275276277277277279278277277278278279281282284285284284286286282285287288284285286286286285286286288287287285286287288287289290288290289287290289288287287284283280284288288289289286286287287289289287285288289291292292292292293294294292292292290290289289289288287288288287288282280280281285285283284285285285283284287285287289290292293291293292289288289286287287287288286290290290289288288288286288290288287289290290289291291291291289288286287286288287286285287285288288287286286285285285285283282281281281281281279279279279280279278278277275278277277276275276278278272273272274273272270271271270270270271270269269271272271271273271269266268272272274272273273270271271271271270271270272270269268272271274274270273273273273273272271271272271271271270272273272273273272273274276274275276271276277277277276277277277278278277278278277277275276273273273272271270270272273273274275276275277279280282282282281281281282282283284284284283284284284284283284282283282281280281282281281281279280279279279280279277278278278277278277277277276276277278277277280277279279280279278281277277277276276274273272271271271271270272273272272272271270270270270270269271272273271272269274273272271271271270268269266269269267267268268268268267267265267265267265265265266265263263266268265269268264262264265264262267266265268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999274274275274275276276276276278279278279281282283283283284285286286287286285286286286286286287287288288287289290291290288288287287290293290289289287291292293293293292292290293292292294292294294291294296296295295296295293296297296296294293999291288292296297297296296296295295295297297297297297297297295297296296296295297298299298297297294297296295295292291291290290290289289290289288287287287287287290292293292291290289288288287285284281279279280279280279280279278280280277280278277277277277278277276277277276275277277277278279279278278279278278280283284285286282286285286284287287287287286287287284285286286286285286285288288288289288289288289290288287288287287287284285286286286288287286285287287288289289288288290292290292292292293295293294294293293291290289290289289289287287287282281282285286286286286285284284286286289288290288292292293293291291289288289288286288288288287290290288289289288288286289289287288290290290289290289290288290288287287286287288288289287288287287287286287287286286287285283283281280280281280279279280278278278277278279279276278277277278277276273272272273273272271269269269270271271270268269270269268269271272271267270271270272272271272273273271270269271271271270270271270271273274274270271272272272274274273271272273271272272274275274273273274274273275274276276276277277277276277278278278277278278279278277277278275274275276274274273274273275274275276276276276278280282282282282282282283283283285285284284285285285284284284283282282281280281281281280280280280280280280280279280281280277277278277277277276276276277277278278278279279277280279278279279277276276275273272272271271270270272269270273272272272270271270270270271271270273272272273269274274274271267270273269267267266266267267267267267267265267267267265267263262262262263265265265266269268263263264265268269267267266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282277274274275276275273275275276277279281282282282283283283284287286285287286286286286286286287288289287288289288288289289288288288289290290289288289291293294288290292290291293291294295293293292295292293297297296296297296295295294295293289999292291289295297297298298296297294294295295297296297296297298298297298296296295296299297296299298297297296296295294291291291289290290289290289288287287289289290292292292291290289289289287286285284281281279278278279279279279278278280279276276277277277278278278278278277278277277277277279279279279279279279280281284285285286283287285285287287288286287288287287285286285286287286286288288287286287288287287290291289289289287285285284285288289288290288287288290286289290289290290292291294295294293294293294294294294293293290290290289290289289287287287286287287288287287287287286287288289292293292292290290292291291291290290290287287288288288289290288288288287288288286287288288290289290291290290290290290291290291289287291291289290289290290288287287289288287287288286284282281281281281281280279279279278279280279279279278277275277277277275276275275274273271270271269269271270270270269268268266268270270271271267268269268270273272272272273273271272273273271272271268269271272273274273272271272273273271272272272273272271274273275273275275275275275277276277275277277277278277277278278279280278279279278278278277275276277277276276277274276276275275275276276277278280280282282282282282282283284285285284284284284284285285284284282282281280281280281281280279280280279280279280280281279279278279277277277277277276277277278279277278278277277276278278277277277277275274273272272270271271271272272272273273273271269271272271271272271271272272273272272271270270270269270268269267266265266267267266267267265266267265264266266267265265265265266267270270269264262265269267268267269268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285279275272273275275272272274275277278280281284285284285284286288289288286286287286286286285286287287287287286287287287288290290288288289287287291290290293292294294293294295292296295295295294294294294296296297298298299293292295291288290289290999290290294297297298296296297296296297297297297297296298298296297298298300298297298299297297296299299299300299297296292291291290290291291291292291290290289290292293293292292291290290289287286285282281280279278279278277277278279278276276275274274274277276277276277278278278276276277276278280280279280279280281284285285286283283287285287287288288288286289287285286285287285285288287287288288286285284285288289288293289288287283287284285289290290291291287290291292293293293293293295295295295294294295294293293294293292292292292291287290290289289290287287288288290288289287287287288288289290289289288289291291292287290288287288290285286288288286291288286289288286287287288289289289290289290291289289289289290291292291290291291290290290289289288287288287287288287287285282281281281281281280280280281280279279277277276277277277276277276276274275274276276273271271271270270270270268269269269269269268270269271272269267268268272272272271272272274272274273274272271271270268272274274274274273274274274273273272273273272273273273275275276274276275275275277277278277277277278279279279278278279279278278279279279279276275277277277278278277276276276277276275277277277279279279280280282282282282283284285284285284285285285284285284284282281281281282282280281281281281281280280279281281279279279278277277277278277278277278279279278279279277278279278278277279278279280277276274272272271270270272272271272273273271271267268270269270269270270270271272271273273271272270273269270268267267267265265267266267267268266267266267266268264264266268264264267269271270265265265270267266267268269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290280276275276275271272275275276278280280281283284284284284287286286287288288288288288287286287288287289287286287287289290290291292290289290289295291294294295294293292291292291296296293296295292295294296294294297298299298298297290289292292293289291293296296299298296296296294297294296296297296295297297297298298298298299299298298297298300299299300299297297297292291291291291292290291292291290290291292294294294293293290290290288287286284282281279277278277279277277279278277277276277275276277278279278278278278278278278279279280280280281281280281281281282283284287284286285284284287287285286287289286287285284283286285287288285288287288285288290290288288288288290288285288288288291289290290289291290290292293293296296294296297295296294294295294294293292292292292292291291291290289289290289290288288289291292291290291291289290291292289290290294289288291288288290290287288286287287287287289289289289288288288288289291291290291290291293290290291291291291291292291292290291290289289288287288287287286289289286284282282282282282282281280280282282280278276277278277277277277277275278279277278276275273270272272271270268269270269268270271270270269270273272270270269269270273272272272274276273275274275272271271269271274272275273275275274275273274274273274275275273274274274275274276276276275275277276277278278278278278279281277278278278280280281281280279280279279279278280280278278279278279279278277277278279277280279280282282281282282284285284285285285284285284284283282283282281281282282281281281281281281281281280279280279279279278276277277277277277278278278280277277277277277277278278278280278279277276276276274272271270271272273272271272273270271271272271270270270271270269270271273275275273272271274272270268268268268266267266266266266267266265267265266265265265265264266267266266267267266264266268265266266267269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272273271273272270273275276278278278281281282284283284284286285286288288288291290287287286287286285285284287287290291292292292292290290292293293294295295295294295295295295296291296296295293293294297295296293295300299300300299296293293294294294294294294297297297297295297295295295296297296295297297298297298298298299299299300300300300300300299297299298297297295293292291293290290290292292290292292291294294294292291291290289290288286284283281280279280278279279278277276276276277277277277275279279279279279279279280280280280281281280281281281281282283283284285286286286286286285285287286285288288288286285285284285283284285284288288288287289289289289289289289289288288284288289292289288291292293292294294294296297295295297298297297297296295295296295293291293293292291291291290290291290291291290290290290292291290290290288292294294293293292293290287287289288291287288289287287287289289287288289290290290288289291289291291292293293292292290292292291291292293293293292290289289288289288288288288288287288285282283282282282281282283282281282282281279279278278276275278278277276277277279278276273272271272272270269271271270270268270270270268270271272272269268268266268269275274275275277273275275273273272271271273275275276276275273274275272273274273277277277276276275276277276276273277275277276277277278278279279279279280278279279279281280279278279281279279279282280280281281280280281281280279279278278279279280280282282282282283283284285284284285284284284283284282283283282281281281282281280281281280282280280280280279279278278278277277278278278278278279279279279279279279280279279279279280278279277277278277275273272270271270273272272273273271270270272270269270269271269269271272272272274272273272275272271270269268268267267267267268261266265265266266264265264266268265266267268267267270266262266266268268267270269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272271273273273269270274275276277279280282281284284284284286287287285289289286285287285286285286285283288287289290291293292293295293292292294294295295295298297297296296295294294294295295293294295296296295295295295296296300300299299292292295295296295296300298297297298297298298297298298298297295296297298296297298298300300300301300300300300300299300298298300297297294293292292292292291291292292291292294295295294293292292290290290287286284282283281278278278279276275274273273273274275275276276276277277277277277278279278278279279281280279281282282282284285285286286286286288286287287287286288287289288287286286286285285285285286287288286286288289289289290290289286286287288289290292289288289291292293294296294295294295297298296297296297296294297296297295294294293293291291291290291290292291291290291291291291290291291289290293293294295295294293293292291290288289289289289288290288289290293291291291289289291290290290291291290294292291292292293291292292292293291292290290289288290291289288288287288288286283283284284283282282282282281280283283282282281280279277277277277276276276276278276273272270271270271271271271271270270269269270270270270272273272270268267269267268271270273273273271272275273272272272274276278276277276275274274274276274272275275276277276274275276277277276276277277275277278279279278278278279279279279280278280280281280279281281278280282280281282282282280281281281281280280279279278278279279281281282282283283284284284285284285285285284284283284284283282282282283282281281281282282281281281281280280279279278278277279279279278278279279280280280280280281280281279279280278277279277275276275276274271271271272271272272274272272271271269270270270270270269271271272272273273273274270272271270270269267268269268267262263266264265266268266261265265266267267265267267268266266264267266267264266270268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272271275273271268269273275277278279280283284285285286287287287289289288288287284284282283282284284287290291291292293294292293294295295293295295294295295296296297297298296296293296297296294295297296298299299298300299300301302301300298298297298300300298296297298298296296298297297298298298297297297297297295295297297298299300300299299299300299300299298298299298297295292291292292290290291292293293293294295294292291292292291289288288287286284282281280278277278279278276274275275276276277277277278278280279280280280280279279280280280280280281281282283286285285286286286286288286288289288287287287287289287286288287286287287286284288286287288289289290289287290287286286286288289288289291291291291292293294295295293294295295296296296296296296296297297296294294295294292294292291291292291290290290291292292292291290289289290291293293294294295295295294294293290290292291289290291290289290291292290291291289291292292291291291291291291291292291291291290291291289291291290290289289290290289288288288288288287287285283284284284283281281280280281282282282283283281279278278277276274275276276278276273270270272272271270270270270270270270270270270270270272272272272270269269269271272272273271270270271271271273272274277278278277276277276276277275277275275275274276275275276276275275276277277275276277277277279279278279280278278278278279279278280280280281280281281281282281282283282282282282282283282281281280280279279280281281280282283283283284285285285285285285285285285284284283284283283283283283282282282281280280281281281280280279279278278278278278278278279279279280280280280280280281282282282281280277279276275275275275275272272273272271272273272272273271270271269270269271271272270271271273274275273273273272271271270270269269268269266266267265264262266267262265265266265265266267266262264265266265265264264269265269267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288279270268268268271270274276277277277280282285285286287288288288289288288286285280281281283284284286289292292293292291296294295297296296296294294298298298299297296298296295294294299299297297298299299299296299297296298297298301301301300297296296297296297297297298298296297299297297298299298297297297296297297297296297298299298300300299299300300300300300299299299298294293292291292292292293293293291293294294293293291292291292290288288286284284283281280277277277279279275275273275275276277277277277277279280279279280279279280280280280280282282283284287284285286287286287285289289288286287287286286287287287287287287285285285287287287290288290287287288288289288287287287284286291288288293294292292291292293291293293293294294295295298295294296298297297296294295295295295294294294291292292290292292293293288291290290291288289291292293293292293294293293294290291292293290290291290291291290291288291291291291291292292292292290292292290290292291291291291291290290290290290291291290291290290289288288287287287287287285284284283282281281282282281282281283281283282282279278279278278279277277277277274271272271270271270270269269269269270269270270271271271271271272270269270272272272272272272269269268270271272273274277277276277276276276275277276278277275276277277275276277277277277276277276276277276279279279279280279280279279279279279280279281281281280282281282282282282283283284284283283283283282282281281280280280281281281281282282284283285285285285285285285285285285285284284283283283283283282283282282282282282282282281281279279280279282281278279279278280278280280279280281282281281282281281282281280280277276276275276277276273274273271273273272272271271271271270269269270271271270270271273274275271273273273272272272270269270269269267268266265266264262263266268269269266270266268270265266267268267267268267270266270269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292282999262266270271273275277278279281282284285286287288289288290289288287284281282280281283286290289293294295293291294296293296296297298297298298298298299300295295295298298297299297298298298298295300298299297297298298296299301302301301298297297298300299298298298299298298299299298298297296295296296298298296297297297300300298298299298298299297300298300300298300298297293294292293293293292294294292293293295294292291291292291290289287288286286284282281278279279279277277274274275275275277276277281278279278278278280280280280280280280281283284284284287286286284285287285288288287288287286286287286287287290287287289288286288287288288288288287287287287285286286286286288287286290288292292292293292292291291292294295292294296295295294295293296296296298298295297294295294295295293293291291291292292295291291289288289289288290291291292293292292291293294295294292291290292290290292291291290290292291291292292292290288289291291291290291291291291291290290288290289289291292292292290289288290288289288287287286286287287285284285282282283284285283283282283282282283282282283281280277277278278278275272271272272272271270270270269269269270270271271271271272273272272270269270272273273273273271271270271272270274275275275276276275276276277278278279277276278278277277276277278278278277276275277277276275277279279279278280280280280279280280280281281281281282281282283282283284284283284284284284284283283283282281281280280281281281281282283284284284285286285285285285285285285286285285284284284284284284283283283282282283282282282281279280281280280280278279280279280281279280279281282283282282282280281280281280280277275277274275275275276275274272273273272273273272270270270269270270270270272270272273274274273273272273272274272268270268270269269268267269267266263266269267270270272270270269268268268267268271269269270271266268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296297999282999268269272273274276277278281282283283286287288288289289289287288286283280281281283286288290293295295293293293295296295296297297296299300300296299301300299297297299299299298300300299299298299299300300300300301302300299301303300300301300301300302301299298299299299299299299299299298298299296297297300300298297298299300298298301299300299300300300298299298300298297295294294293293294293294291293293292292293293291292290290290288290288288288286284282281280279278277274274275275273276277277280280280279282282278280280280281281281279281281282282285285285287287287287287288286287286287287287287287287286285286286284286287286285287285286285286286287286286287288288286284285287288290292292292289289290291292292292294293294294295295293296294294296295297297295295294296295295292294292293292293292293293295292289288288288288290290290292294294292292294292294294294293292291290291290291290290292291290291291291290291290291291292292292292292291291291288289287289290290291292292290290290288289289287287287287286286286286285283282281283283282286281281282281283282282282282283283280279278278277278276273270271272272272271271271269269270271271271271271272273273272271271270272271273274274274271270270273273272275276275276276276277277279278278279279280277278276277275277278279279278277277277279278280279278279281279279280280281281281280280281281281281282282282283282283283283284285285285285285284284284283283282281281281281281282282282283284284285285285285286286285286286286286286286284285284284285284284284284283282283282281282280279279278280280280280280279278280281280280280282282282282283281281279279279281279278276278274277276274276276275273273274276273271272272271270270270268270270270271273275274274273274273273274274274271269269271269269269268266268269268267267268270270270270269269269270268269268269268269267270267265267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296291287280276268270272274274275278279280282284284285287288289289289285288288287285283280281285286288289289290293297295295295295295295296298298298299298294298298299300297296295298298298300296299299298298297299299298299302301300303303303304300300299299296300300300298299300299297299300299300301300301300298298299299298299296299298299298301298298301300300300300300300299299298297296296295295294294294294293294295294293292290290291291291291291292291291290288288287284282283281281280276275277278279280281280280280280280281282283283283281282282283283281282285285286286287287287285287287288286286285286285286286286284284285287285286288288286286285285286286286285286285287286288286285288284288290287290290288290290288288289291293292292293295295294293294292295296297297296295296296297294294293295293293292292292290295290290288288289290288290292294295293292291294292294292296294294292292290291291292291292291291291291291291291292291291292292292291291290290289288289289290291291291291289290290290289290289288288287287286286287286284286282281283283283284283280282283283282282282281283281281279279278278278275273272271272272272271272272271270271271271272272272274274273271271270271273274274274274274272274272274275273277279276275275277278279281280276280282280280278280279278279279279279279278280280279280280280280280280279278279281281281281281280282281281281282282282283283284284284284285285285285285285284284284284283282281281281281282282282283283284284284284285286285285286286285286286286284285285285285285285285285283282283283282281280279279279280280280281280280282279281281278278281283283282281282281281280279279279278280279276277276277277276275274274274274273274272272272272271270269271271271274274275275276275273274275275272272271269271271271270270269267268267268270268269266268271270270269268269271267268267270269267272268267268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294291999999278281274272271274274275275277279280282284285286287288289293290289999285287283286283282285286288290291291293295294294294293295295296295299297296297297297299299297296295296295299299300297298298299297297299298294300300299301302301303301304299300299299297298300300298300300298299298298298299301298298299299299300299299297299299298299299300300300300299300299300300299298299299298296298296295294295294293294294294291291292291291291292292293293293293293292293290290288289287285283282277277280279279280280280280280281280283283282284284283283282283284284282285286286287286286287287286288288286288285286286287286284283286287286286286287290288287287287287286287284286286287287287289289288286288287290292290288290289288289289292293292293294292294295294295296294297295297294294294295297296294293294293293293294294293293292290290290292289288292292293295294292293293292294292294294293295290291291292290290291291289290290290289291290291291291291290290289290291290290290290292291290289289289289290290290290290288288287288287287286286286284285284284284285283282282282282282282281281282282279278281280279279278276274272273272273274273272273273271271271272272272273273274272272272272273274274275275274272273273276276274274277276278276279278277280281280280283278280279283281280280279280280280280280281283281281280281282282281281281280281281281280281281282282279281282282283283284284284285285285285286286285285284284284284283282282282281281282282282283283283284285286286286286287286286285286286286285285285286285285285285285284284283283282282281282281280281281282281280281280281281280281281283282284283282281281281281279279281280279281280279278277276276276274274273273274276274272273271272270269271271272272273273276274276274274277274274273272270270271271269268270267267268270270269267271268269270269271267267270270272270269268269266267270269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283277274274274273273275275276276277279281282283284285287288290291294999999999999999999283284286288288289291292291291293294296295296296295296297297297299299297297297298298298298297297297298297298300296296294299298295298296299302301301301302303302300299297298299298298298296298298300299299297296296295298301299299299298299299299298298300301301300300300299299298299299299300299299298298299298297297297295296295295294293292294294293292291292293293294292294291294293295293292290289289285285280278280277277278277280279280282280283283282283279283280281284284285286283286287286286286287287286287287288287288288288287287286285286287287286288287286288288289289288287288286286287288288289290289290289288290289288291289290291290290290291293292293294294294294293297296294295297295294295295295297297296295293292292293294294293293293294294294293291291291292293293294294294291291293292293294294294293291292291291291291290291291290288288291291290287291289289289290291290291291291290289288290290290290290289290290290289288289288288288287287287287286285284285286284283283282283282283282280281282281281279281281281279279277276274273273274273274273273272270270270270270272274273272273272272273274274273273274275274277276276277277276278276279280281279279281282283282282282281283283281277281281281280280281280280279282283282282283280278279282280280281282281280281281282281282283282283284285284285285286285285286286285285284284284284283284283282282282282283283283283283285286286286286287286287287286286286286286286286286286285285286286285284284283282281282283283282281281281282282282281279281282283283284283283282281282282281281279279283281278279279279279278277277276274273275276276276274273273272272270271272271272271273274276278276274274275272274274272272269271271271268268268267272270271269268270269269270269269268268269271269269269270269269268268269 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284274272271272272272274275276277279280281283284284285287288290292999999999999999999999999280283287288287288291293292294295296297297296296297298299299297299299301297299300297299298297298300297296296296295295295298298297299299302303303303303304302302299300298299302302299299300301301301301300299298298299299301298298298298298298298298298301300301301300299299299299298299299299299299299299299298296297296296296296294292294294294294294294294294294294294292293294294296295294293292290291289289287283281280280280280280279279280282285284284284284284284284284286286287287288288288288285286286288287287289289289289286286286289285287288289289289286288289289289289290288288287289288288287289288289289288287291287290290290294289291290290290293292293293293293293294296294296296294295296296296293294297297295294292292293296296295295293295293294295293292293292292294294294293293293293292291293292292292288290291291291291291290290290289290289290287288287288290290292292292291289290289289288289290291291291290290290290289288290288287287287286287286286285286285285283283283284283283281282280281280281281280281281281279279278276274272273274274273274274273274270270271272274274273273273273273272275273274273273276273277277277277277277277278278279282280282282280283283284283283284283281281281282283283281278279283281282282279283281279279280281281281282282282280282282282282282283283284284286286286286286286286286286286285285285284284284285284283283283283283283284283284285285287287287287288287287287286287287287287287287286286286287286285285284283283282282282282282282280279280280283281281282282283283281281281281281282280281280280280281281281280280279277278277278275274273275276275276273273274274273271270272271272272276276276278276273275276273275272273270272270272269269270271271270271272271270271271274271271267268270270269268270270268269270270270271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279271270271273274276277280280281282282283285285285287288289291999999999999999999999999999282283285287288290293294295296296296297295295296297298300300300300300301298299299298295297297298298296297296295295295295296296297300299300299303302302301301302300302299297297298297296298297295295296296297299299297296296297301299299299296298300299299299300300299297299298299299298298297296298297299299297297296296296296295296295296295295294294292291292294292293295294294296296296294294293293291290289289287285283283280284284284279280282285285284285285285285284285286286288288289289286288286287288288289289291291289289288288288286288287289290288289287289289289290291289289291290290290291291289289290291290288287288290292292291291292291289292293292294294294295295294295295294293294295294295293294293296298295297296294296298297296296294295294295293292292294295292292292293294293292292291290291291292292292291292292291291289289290289287291289289288289288289291291292292290290289291288289288288288290290290289288288289289289287288289288288287286285285284285285284285285285283282281282282282281281281280282281280281280278278277273273272273274274273274273272271271271273273273272272272272273273273274275275275276275278277277277279279277278280281281281282282283281285284285285285284282283283283283281283280283284284280282281284281281282281281281281282283282281282282283283282283285285285287287287287287286286286286286286286286285285284285285284284285284284284284284284285286287287287288288287287287288288288288287287287286286286287286285284283284283282282282281282281282281281282282282282283283283283283283281281281281281280280278278280280280281280280279278277277275275274275276276276278276275275273271272275270278274276276278277275272273275276272274272271270271269268271271272271271272271272271273271274271270271271271271269271271271271270271272273271 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287277273272271272276277278280282283284284284285286286286287288288290292999999999999999999999999284284285289288291292294295294295297297298294296298298300300300300299297297298299299297295295296299298297294295295296296297297298299301300300299301300301302302302303303301301296296296297296297300298297297298299296298296298297298299300298298298298297297298299301298297300298298298297297295296297297299298295295296296296296294296295293295294293293293293294293293293292293295295295293294294293292290293293290291288286283287287284284284284284285285285285285286286286286287286290288288290287288286290290289288289290289286287288287287286285288290289290290289289291290288288288292291294291290291292290290289291290288292289291292290290292293292292293293292293294294297294295295294292292293293295295295296296296296297296295296296298296296297293295294293294292293291294295293294293292293293292292291291290290291291292291292291290290290290289288289289289290289289290291292291291291291290289289289289287289289289290289288288289289288288289289289287286286284286286286286286285285285283283281280281281281280281282282283281281281280279279276274274275276275274275273272272271272272272274273273273273274274274274276274276276277278278279279279280279282283282284283284285284285285285286285285286285284285285285285285285282285284282282282283283283282282282282281283281282282282282283283283285285286286287287287287286286286286286286286286286286285285284285284284284284285284284284284285286287287287288288288287288288288288288288287287286286287287286286284285284284282282283283282283282281281282282282282282281281282283280280282280281280280278278278279279278279276278279279277278275274275277278277275275276277274273273271272277275276278277275275274274272272274277273276272271270269269271271272273273268274272272272271271273274271271272273272273274273273274275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274273276277278281280282283285285285286286287288287288288288289294999999999999999999999999999283284285286290291293294294295297297297297298299298297297298300298298298300299299299297293295298301298999999295296299299300301299300302301301301299302302301302300302301301301301300298301299300299301300299299300300300301302300302302301300299300300300301300300299299300298299298297297297297296296296298298298298296295296296296296296295296295295292294294294294295293294295295297296298294297294292289291291291291292291287287286289285288287285286284284285285287287286285286286287286288290290288289288290290290288287285285286289287288287286287290290290289290288291290288288288291290291290291290288289292290290291291292288288289290293291292291293291290292293293294296296295295293292292293294294294296295298301296297296297298297297298298298296295298295295296295295296296294293294293292292291292293290291293294293293292292292292293289289290288289290291292291291291291291293292293290289289289288289289289289288289289289289288288287287288288288287287286288289287287287287285286285284284283282281283282282282282282282281282281281280279277275274275275276275274274272272273274274274272273273274275274275275275277277277279279281281279279281281281283284284283285286286285286286286286286285286286285286282286285283285285283281282282282281283282281281282282283282282282282283283284284284286286286286287287286287286286286287287286286286286285285285285284285285285285285285285285285285286287287288288288288289289289289288288288287287287287286287287286285285285284283284284283283282283282282283283283281283283284282284281282280281280279279279278278279279278276276278278281277278277274275276278279277275275278274275272273274275276276277276275277274273274273273274276275274270271271271272271274274273273272275274273275274275274274271273273275274274275276274276275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275276278279281284283285286287286287286288288288288288288288294999999999999999999999999999999999287288289292292294295296297296296295297297296299296296297297297298299299297300300296293295299300297297298296297297298298299299301302301299299298300299300300299298298299301299298297297297301299300300299297300299301300298297297299300299299299299300300300300300299299299298297297297297295295295294296296297297296295295296294295295295295295295293295294294293295297295295296298297297295297295293290293292291293293290289289292292291290286286287286285285286287288288288288288287289290290289289290289290290288287287286285286287287286287288291290292292291292291290290290289289289291292291292289291291290290293292291290289290291292292292292291292294291291293293293296297295295294293293293294295297296293298300296295297297297298299299299299298298298298298297297295297294295295295293292292293292292291293292294294294293292293291293290291290291290291290292292291292292292291291291289289288288288288289289288289289287288288288288288288287288287288289288287287287288288288287287286285286284283284285282283282280283282282283281283281281280278276275276276277276275273273271273275275275275274273274275275274274275278280280281280280280280279282280281283285285285286286285286286286285286285286287288287284286287287286286280283284284283282282282282282283283284283283283283283283284284285286286286287288287286287288287286286287286286286285285285285285284284284285286285285286286286286286287288288288289289290290289289289288287287287287287286287287286286286285284284284284285283283284283283283284282282284284282285284282277280280280280279279278279279279279277279279279279279281281278276278280278279278275276279276278276276275278278274275276274274278276275272271273273272271272273272271271273274274273274275274274274273274276271273273274274273276276274275276274274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282288296292285281276276278279281283286288288287287287287287288288288287286286289999999999999999999999999999999999999287291293295294296296297297296295295295296297298297297298297298299299298298300299300298301302302302298299299299299299300299299299300301300299300299299300300298297299299299301298297297296298296299299299299298298298297298299298297299299300300302300301299300300300299299298297296295295298298297296296295294295296296295295293293294293295294293292293293294295295297297296297297298299297297294295292292295292295293293291293293293292291292289288289289287288289289290289288288289290288289290288288291291290288287287286286286287288289289290290290291292292292292289292289291290290291293294294294291292292291293292293294291292290291291291291291292294294292292293293296297297294293294294294295296296297296297299297298298298298299302301300298298298297299299297298297295295295295296295295294294292295291291292293296294293293293294293291290291290289290291290291292292293292292292291291289287287287288288289289288288288287287287286288288286287286286288287287289286287287286287287285285285283283285285283282282281281281281282282284282281281280277274275274278277276273271274273276276275274274274273275275275274277277279280281281282281280281281283284287286287286286286287287286282286286286286288288287287285287288284286283284283283283283283283284284284283284283283284283284284285286285286287287287287288287288288288288287286286286286285285285286285284285285285285285285286287287287287287288288289289289290289289289289288287287286287287287287287287287287286285285285284284285284283284284284283283282283286284285285283281281282279281281280280280278278279275279279279279279279281282280280280279280277278277279277279278275278276278278273276276276274275273272271272271273270272272271274272271275273274274274274275271276274275276274276276276277278277279275275274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280281289297284278277277279279281283285288289288287286287287286286286285283284289999999999999999999999999999999999999286288292294294295296296297296295296294295297297297296297295297300300298298297300299300300302302301301302299299300300299300300300300300300299299300300296299300300300298298301301300297296295297299298300298301299299299299297298298299299301301300300303302302301300300299298298298298298296295296297296295294294295296295295294296293294294294293293292293295295295295297296296296296297298297295295295293294291290290294293293293293291292292291291291291291290289289289290290289289289288288290291291289289291290289289287287287288286287290289290291290292291291291290290291292289289291291292294293292292292291291293294293293290290290291292290291291293295293294294292292294297295295294293293292292292295296294295297299298298297298300300300300301297300298299298296298298297297296296296296297294294296296295295294294294293292292292292291292292292291291291290290290291292291292292291290291288287288288288289289287287287287287286287287287288287286286286287287288287286288287286287286284283284282284285284282283284284282282281283283283284283281281279276277275277277275273274274275277275275275273275274274273274275278281279280281281282282283281284284286288287287287286286286287288284287286286288288288287288286285287287285284284284285283284284284285284284285285285284284284284285285286285287287287287288288288288288288288287286287286285285286286286286286286286286285286286287286287288287288288289289290290291290290290289288288287286287288288288288288287288287287287286286287286286285285286286284284284284285284284285284282282282281281281279280279278280278278276279278279278279279278278279278280281278278280280276277278276274276275274275276275277274276273273274273273274270272270271272272272274275274274274275275272275276275276276276276275277277277277274275275276274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280282282282282280280278280282284286287289287283283282282281281281282283288291999999999999999999999999999999999999288291293294294295296297297296295296297297296297299298297298999298298999999299300301301302303301302300300299301302300298299300300300300299299299299299298299299299300301302302301301299297297299298301299299299299300300301298300301301301302302301301301302302302302301298299300298297298296296296295298297298297296294293297298298297298296295297295293294296296296295297296297296297297298297297296294293296295296295295294293293293294295295295294294293292292290290292292289290289287287287290291289288288289289289288287286286284286288290290290289289290290290290291290289290288289291291291292293294292292291293294294294291291290290291292291291292293292293294295292292292294294295294291293291292294295297294298301299301296297299299301299299301300300299299298296297299298297296298295298298296295297294295296293293291294291292291292290293293293290290290291290292292290290292292291291290289287289288287289287287287287287286287287287287287287288287286287288288287288287288287287288283284284283282282283283283282282283281280283284285284283281281281278279279276275274273273274274278276274274274272273273275275278279278279280281281280282279282282284286287287286287288287287287288288283287287288288289289288288284286284284283284284284284285286285285285286286287287286286285286287287287286287288288288288289289289288290289288288288287287287287288288288287288288289288288288288289289289285290290290289290290290290290290289289288287287288288288288288288287287287287286286286286286286285284284285284283283284285283283282283282281281281281280279280280280280279279280280280279277278277278278280279279281279281277278279278278277276278276277276277276277277275275274274275270271272275271273273271273272272274274275275274273275276275277278278278278278277277278277275276275273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278278279280278278279281284287288288289286281276276276278281281284287291999999999999999999999999999999999999289291293293294295295297297297297297296297297296296298298297296295296295296297299301301300302302301299299298300300300299296298300300300301300299299300299300300299300301301301299298297296296297296297298299299298300300297299298297300301301300301300299300300303303302302301300300299297298297296297295295297295296295293296296297297295298297297294293296296296297296295295297297297297297299298299297295294296296298297296295293295296295294296297298297297296292291292293290293291290290291290291292292289289290287289289288287288288290289290290291290290290289291291290288289290288291292290290294296293293293292293294295295295292293291292292292292291292293292293293292292291293294293295293293295295295296296299301299298299298298299299300298300299299299299299297298298298299299297298297296300301297295297298297293295295293293295292292292292294294291293291290289291290291291291291291290291290291289289287288288289288287287287287288288289288287288287287287288286286286288287284287286285285285284283284284284282284283283284283285285285285283283281281279279278278276275275274273275277275274273274275274274275277278280279281281279279281280282282282284287287287287288288287285285286288286287287289288288288288287285285284283285285284285284286287286288287288288289289289288288288288288288289289289290289289290290290290290290289290289289289289289290290290288289289289288289289289290290290290290289289288289289289289289289289288287288288287288288288288287287288288287286286285285286285284285284285284284284285285284283286284284281279280280279281280280281281276280281281281281279278278278280280280280280280279276278282278279278281280279279278278280279279277276277276276272272276273272273273271272275276274275273273273273273276275278277278277278278279278276278277276275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275275275275275276275277280284286289290289290288283277276278281283284287291295999999999999999999999999999999999999290293293295296296296296297297297297297298296296298298297296296298298296296298298301302302302302302301301301301300300301301300299301299300299299299299300300301300300300301299298297297296297299297297298299300299299299299299301300301302300300299300299300299303304302303303301300300299297295296297298297297297294297295297297295299298298296297295296296297297296294296295298298298297298300298298297297298297298300298298298298299299299299299299298300298298295294294293292292291290289290291291292292289288289288290288288287287284289289288289290290290289288288291289288289291291291291291292293292295292294294294293297296293293291291289290292292291293295291292293295293293292294293292296294295296296298300301299300298299298299299299298298298298298299297299299298299299299296296298299298298298297297298298298295293293292293294293292292294293294291292290290289290290292291292291290290290290289288288287287287288287287288289288288288287287287288289289287288289289287286288290288289286286285285284285284282283283285284284284286285285284283281282282279279280277276275275273275275276274274273274276275276277279280281282282279280280281283282282284285288288288289288289289287286286288287288289289289288288287288285285285285285286284285286287286285287289289289290290290290289289289289289289289290290290289289289289289289289290289289288289289289289289290289289289288288289288288288289289289289289288289289289289289289289288288288288288288288288288288287287287287287287287287286286286286285285286284284284284285286285284284282282281280280279279279279280280280278278278279277280279278279280280279279279280281282281280279280280281279280280281280283278277278275276274275274274272271272273273274273273272275276272272272273275275274276276279276279279279279277278277277276274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273273273273274274275277281284286288290291290288285280280285285285286289291999999999999999999999999999999999999288291292292293296297296296296296295298297299297297297298297295295297298297295295296296302298303302302302302301299301302300302302300299299299299300299298298300300299301300298298299299298298299299299299299300299298299299301301302300300301300303303303303302302304304303303304302298300299299298298298297298297297296294297298297298299299300298298297297297298298297297296297297298298298299299298298298300298300299300300301299300299300301300301299300300297302300300300298295295292291290291289291289291290289285287288286289286285286287289290290289288288288288289290289289290290291291292293293294294294296294295295295296296296295294293291290292292291295292293291295294295295295293294293295294296296298300298300300299299300300298298299299300301300302301299298298298300300298298297300299298298298299299299299299297296294295296296293293294295295294294294294292293293291291291292293291291292291289288288289288289289289290290289290290291290288290290290290289290290289288288290290290289288288285285285284283283284283284285283283285284284285283281283283280282279280279275272274273273274275276275275274277278280280282280281280280281280282283283284285285288289287289290289289288288289288287288286284289289287285286287287284284286285284283283285286286287288289289290290290290290289289289290290290290290290289290290290290290290290290289289289289289290289289288288287287287288287287287288288289289288288288288288288289289289288288288288288288288288288288288287287287288288287286285286285286285285285285284284283285285284284283284282281281280280280280280281280279283279279278279278278280280280280281280281280281280282281282280280281280279278280283277278279278278275274276274274273275274275272275275275273274275273272274273273276276275277277278278278278278278279279276274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286270272272272273274276277280284287288289291291289287285282283290289287288289999999999999999999999999999999999999999290292292293295295296297296295296297297296296297297297297295294297298297295293298296299300300300300300301301302300302300299300300299298297298297299299298298298299300301301300299300301301300300300301299300299297299301300298298299300300300300300300302303302303304303301304301302301301300300299298296296298298298297296297296298295299300300300299298298298299299299299298297300299298300300300301300300300301301301300302301300301297301301302302300300299300300301301302301301299294290291292291292292290290289286289288287289288287290288289289289289288289291292290290289288290291293294293294294295294297295295295295297295296295297294291292293294293293294294294295296295296295296295295296294295295295297299297298300298299299298300301300300300301300300300299300297298298300300302303301299300300299301300300299297299296296295296294294295294294296295295295294292293294293294293294293294293291292289289289287288290290290291291291292291291291290291292291289290290291290291289290290291291290290288286287287282282282283282283282285283282283284285283283281280282282279277274275274275275274274275276277277279279280280280280280280280282283282283285286286284288290289290290289286288287288286288289286286287289288285286287286285285285284284283284287286287287287288289290290290290290290290289290291291291291291290290290291290291291291291290289289290289290289289288287286286286287287287287287288288288288288287288289288288288288287288288289288288288289288288287286287287287288288287286286286288286286285285284284284284285284283283285281280280281280280280280281280279280279281281281283278280280281282282283282283283281282282283283283282283281282282282279278280278282277276278274275274273273274274275276274275274277274276276275274276275275275276276276279280278278278277278274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291267268269270271272273274277279283285289290292291289286283281283283292292287289291999999999999999999999999999999999999999291292294294296296297297295296296297297296297296297298298294295300298294293294296297298299300300299302302300300302301301300299299298298298299296298297297296297299300299300300300300300300300300300301300299299298299301301298299300299302301303302304303304303302302304301301301302301301299299299299296297298298298297297297295297297298297298300299299296297300300297298297296296298297298302301301301300302301302300300299300300299300301300300300299298299297300303303303301300300297294294294294293292291290287287288287286286285286287288288289289288289290290291292288290289290291293294294295294296296296296295295295296297297296296295294295294294294294294295295296294295295296296297297296297300300298301302300300300299297303300301301300298301301300299301300301297303297300299303302301300300299299299300298299296297296298295296296295294294293296296296295294293294292293293294293294293291292291289290290289289290289290290291291291291290291290290291289290288289288290290288289289292288287287287286286286282283283283284283284285284281283285285281281281281280282279278276276275275275275277276277278278279280282280281280280283283283283284286286287286286290288290291290290289288288288288288287287286288288288287287287285285285285285285284285286286287287288289289290291290290290291290291291291291291291291291291292292291292291292291291290289288289289289288288288286287286288287288288288288288288288288288288288288287288288288288288289288288288289289288288287288288288288288287287286287287285285285285286284285285286285285285284283282282280280280279280280280281280280281277282281280281281282282283283284283285281281282282282282282284281281282284282282281279276279276275276275274274274275274275275275276273273272276276273274275276276276276277276278279279278279278277275273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287272261262265267269270271275280283285287291292292291288282277276278282292292287291999999999999999999999999999999999999999999293294294295296297298297297297299299298297297299296295298296297297297294294294294295295297296297297298300299299300299299299299298298297297297296298298297298298300300299298299300300299298299299302301300300300300301300297298299301303302300300301303303302303303303304303302303302301301301300299297297296296298298295295296293296297298297300297296296296298301297295297298296295295299299300301302302301302301300301300300300298299301300298301298299297298298302302302304303302301301296295296294292291291290289289288287288286284286288288289289290289289289288287291291289289292292292294295294296296297296296297296297297297296296295295294294292294294294294293295294293296296295296295296296297299298301301302302300301299299300300302301300299301298297300299299300299299300301299302301300299299299298299299298299297297296297297297296297296296296294295292293296295293293292292292290292292290291292290290290288289292290289290291290290292292291289291292290289288290290288290290290290289291288289288288285286285285284285283284283285284284283284283281283282279279281280277278276276275276277277278278279280282280283281283282284285283283285287286286286286287288289291290290289289288288287288288286287286288288287285286286285286286284285286286286286287287288288289290291291290291291291291292292292292292292292291292293292293292292292291291290290289289289289288287287287287286287288288288289288288287288288288288288287288289288288288289289288288288289289289288288288288287289288287287285286288286286284286286285285286286286284285284284283282281280280281281281281281280282282280281280281280280282284282282284282283283282284283284283285286282282282283282282282280279281278276276276275274274275275275275276274274275275278274275277275275277276276276277277280279277278277277276273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283281264262263264266266268271274278283285287289291292291291286277271275272279291292287289999999999999999999999999999999999999999999293294294294296297297297298298300299297297299298295296298297294294293293294295295295293295295293295296298296297298297295296297297299298298298297298298297297299300301300297297300300298298301300300301301300301301302300300302301300302302302302302302303303303304303302303302303303302302301299298297298299297296296298298295298298300297297298297296297297297298298297296297296296298300300301301299302301301300300299300300299299299300299298299300297299301301302301302303302303303302302298297294294293291287285285285287287285285288289289290290291290290290289287291291289290292290292295295295295297298297297297298297296297295295295296293295295295294294292294294294296297297295296297298300299298301300301301301301303304301301303304300301300301298300299300297299299298298299299300301299299299297297300299298298299298299298296296296297297297297296295296297297297296293294293292292293292290293293291291290289289292289290291289290291291292291289290290290290291291291289289288291291290288288288285289289287285287285284284286284285283283283286284282284283279282282281279278277277277278278279280282282284282283283281284283286285285286286286287289288287288291291290291289290290288288288287287287287286288287284285287285285284284285285285287287287288288288288289291292292291291291291292292292293292293293293292293293293293293292292291292292290290288289289289287287287287286287288288288288288288288288288288287288288288288288288288289289288289288289289288289289289289288289288288287288288288287286285286286284284285285286286285285285283281281280280281281281281281280281282282283283282282280283284284285282285283284282283282281286281284285285285285282282281280280279280276276276276274274274273275275277274278276276278277277278274275279277277275275277278279279278278277277275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285279281280273270270268268268269271274279282286287288289290291290288284275269286278280292292290999999999999999999999999999999999999999999292293293294296297296296296296295296297296298298296295294296294291292293294298296298295293293293292293294295295296297296297297297298298298298297297298299295296299296298297298297298299300300301301301301302301302302302302299298301302303302303303303302301301302302302301302303303303303302302301299297298298296298296297298299300299298298298298297296297297298297300298300297296299301300300301301300301301302301301300300300299299299298298301301299301299299301301301302303302304301302301299295296295293293286285285285289288287287288291291291291292290289290289289291292289290290291291294296297296297298297298298296296298297297295296295294295294294294294293295293296297297299297298297297300299300301300301301302301304303300304303302301303298298298300299299297297299298298298298299299299299299298299299299299298298298298297297295297297297298297297295296297296297296296296294294292293294293292290292291291291290291291289290289290291291290290289290290291291291292289289291288291291289289287288286290289286287286284285285284284285283284284284283282284284283282281281279278278278279278280282282284283285283283283283286285286286287287288287290289288287288291292292292289287288289288287285286287287288287285284287285285285286286287288287287288288288288289289290291293292292292292292292292293293293294293293293294294293294293293293292292291290290289288289289288288287287287287288288288288288288289289288287287287287288289288288289288289289289288289289290290289289289289289288289289289286288288286287286286287286285286287287287285285284283283281280281282282282282283282284284283284283282282284284284286285285286285284283288286285286285285285281283280282280280282279279277278273276274274274275274275276276276276276278278277277276277278277277278279278279279279278278278276274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277276277273274271270270271270271273275279282284286287288289290290289285276273270273278286292292295290999999999999999999999999999999999999999292291292295295296294297297296296295296297295298295298294294294293296298298296294294294291290291292292292294293294295296295296296296298298298297299297297298299299297298296297297298298300301301300301301301301301301301301301299301302303302301302303303303303302301301302303301303303302303303301300300301298298299298300297298299301299299297297297297298298299298299298299297298300298300300301302302301301302301300300299299299296297298298300299300300301301301301302303300303302302302302301299298298293291285286287287285287285289289289291291289291290289288288289291292292292290291293295296296297297298298300298296296297298298296297296298295294294295294295295296297298299299298299299299299302302300299300301304304304304305303301301301299300300298299297298298300300297298299298297299299299298298298298298299299297297296296299297296295297297297294295296296296297298297296297297296295293295292293293292291290291291291289290289292293292290290289291291291290289288290291289289290291289291291287287289288288286285286287286283286285286285285284285285286285282282281282280279279279280280282282283284285285284284284284286288287287288288290289290290289288289293292292292291288290288287287285286287288287287286284287286284287286286287288287288288288288288289289290292292292293293292292293293293292293294294293294294294294293293294293292292292291290289289288288288288287287288287288288287288288288288288288289288288289290289289289289290290290289289290291291290289289289289289288288289290287287288288287286284286285287287288286286286284284283283284282281282282282282282283283283284283283282283284285286285286287284287285283284284284282285281281281281282282277280278281278278274278275275275274275274275276276276276276275280279278278278277278278278279279279279279279278279277275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274274276274274272270271270271269271271273275278281284285286287288289289289288282272273273277280287292292294299999999999999999999999999999999999999999292291293294294295295296296296296297297299297298298297297297298296296297294294292293292291291292292292294292292292294294294294294295295298295297297297297299296298297297297297298300301301299301300300301301301301301303302301302302301301303303302302302301300301302302303304304303303304303303303302299300299301297300298298298298301300299298298298299299299299299298299299298298298298300299301301301301300301300303302299300299298299298297296297298299299299299300301301297300299299300302302298296294292288285288290286288288290290292292292292292290289289289288291292292293291293293294295297297298299300298296298297298294298298297298298297295294294296295296296296297298298298299298299298302302302301301302299302300302304302303302304300299299299299298297300300300299297298300299299299300297298297299298298299300299298297296299297294296296297297297296296297296299298299296296298297296298295294294292291291291292290290291288291292292293293291293293294292291290290291290289290291292290290291288289290292287288286287287286284287286287286287286286286285286284284284282281281280279280282282283283285285283284284283284285288288288289288290290290290289288290293292293292291289289288285286286287287287287286287287287286286286286286288288288288287288288288289290291291291291293293293293293293293293294294294294295295295294293293294294293292292292292291290290289289288289288288288288289288288288288288287289290289289290292291290290290291288291290291291291291290290289288290290289289288290290288289288286287286286285286288288287286285286285284284283283282283283283284283284283283284283284283284284286286286287286286287283286281283284282283282282281282282282280282280279280277278277277276275275274274275276275273277276278279279278278280278278278279279279279280279278277278276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275272272272271271271275272271273275277280283285286287288289289288285283280275279279284285290293292291999999999999999999999999999999999999999292291292293295294295296298296295298297297298295298297293299295294293294293292291292292292291291291292292292292295295294295295294293295297298297298297298296298301300299299300300299297299301301300301301301302303303301302303304303302302302303301303303301301303302302303303304304305305305304303303303302300300301301299299299299299301302298300299300300300300299299299299299299300298298299300300301301301300300300302302300300297297298298297297298298298299299299300299299298297299300300300300298295294291286286286287287288289290291291292290291290290288287288288291293293294292293293295296297297298298299298299298298300299298299297299300298297295296297298297297296298299298297297297300299300302302301301301301301300302302301302303300300299299298297299299298300299299298298299298298297298298296297297297297298299297296298298298298295294295296296296297298298298299299297298297298297296297296294295291291292291290290291290292292293292292292291293294292294294292290289289291289291290291287291290289288290288288287286285285285286288286286284286286285285286283286284284281281281281282282282282283284284284285285286286287289290289289289290290291290291291292292292291291289290290286286287287287286287288287286287288287287287287287288288288288289289289289290290291292291292292293292293294293294294294295295295295295294294293294294293294292293292292291290289289289288288288288288288288288288288288288287289289289289290291292291290291292291291290291291291291291289289289289289289289288289289288288287287286287287286286288287288286286285285284284284283283284284283283283284283286282284284284283283284286286283285286287285284280280285282280280281281282282280280281279279278278278276276274276275274275275275277275277278279278280280279280278278279280280281279279279280279280278277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276270270269270271273273273274275274275277280283286287288288289290289286281277276274282287290292294294293291999999999999999999999999999999999999999288292293294295296295294296295297298297295296295296297295294293293293293294295295295294294295294294293294294294295296293293293294294298298295295297295298296296298297297298299298300299300299299300299301304303303302303303303303303303302303303302300302301302304303302304303303304304304306304302303303302302301302302299299300301300302302299302301300300300301300300300298299300300297297299301300301301300302300300298301300299299298298297297298298299299299299300299298298298297298300300301300298293292290289287288288287290289291290291291291291289288289288291291290293295295294294295297297297297300299299299299299298298298298298298299297299297298295296298298297298298298299298299298299301300301299301301302302302300301303303303302300299299300298297299300300299298299299299300299299298298298298297297298298297298297294295298295295295295295295296296296297297297298299298299298299297296296296295295293295292291292290294293293292291291292293292292294293293295294291291291289290289290289289289289288290290290286285285286286287286287286285286287286285286286284287284283281280280281283284283283284284284285286285286287288290290290291288290290291292292292291292294293293291289288288288289288287287287286288287288288287288287287286288288289288288289289290290291291291292292293293293292293293293294294294294294295295295295294295295294294293293292292291291290289289288289289288289288288287288288288285288288289288290289290290291290290292293292292291291291291290290289289289289289290289289288289289288287288287287286289288290288288286286286285285285284285285281285283284284285284285283284284282286285286284288285285285285283282279279281282280280280280280280280281278280280279277277276276275275276276274275276276277279280280281282281282280280279279280281278279280280279279279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275270268269271272273275277279280279278281283286287288288289287286284280276272270275283290292293294294294294999999999999999999999999999999999999288291294294297296296296298298297294297294295297297297295295295295294294294295295295295294295295294295295295295294295295293294292292295294298298298296295296295296296297298299301299297297300300300300302301303304302303303303305304304304303304301303303303305302303302301303305304305305305303306304304302302303307305305303303303302301301302301301302301301304300300299300300299300298298297297297298299298300299299298300298298300299299298298296298297295299300298299299298298298299299301301301299296293290288287287288290292292289288290290290291291289290288293293292293293293294294295296297297296298298298297298298297299297297299298299298298299297297295296297298299298298298298296299300300300299301300301300301303303302301301303302302301300300300300298299298301298298300300300299299298298298297299297298296296296298297298296296295295295296296295297299298297298298298299299299298297295295296294295296295296295292293291294291293294292294296291294295293294296296291291291291291290292290290290290291290290288287287288288287286289284286286287286284284286288287286286285284281281281282283284282283284284286286288287288288290291291289291290292291292292293292291293292294293291290290289289289288288288288288288288287288287289289287288288289289289289290290291291291291293293293293293294293293293294294294295294294295295296295294294294294293293293293293291292291290289289290289288289289289287288289288287288288288289289288289290291290291292292292292292292291291291289290289288288290290289289290288289288290289288288288288288290291288287286286286285285286285285285285284285283284284284285283284282285288286285284285285286284283282281279279279279280279279278280281280281279279278278277277277276274275275275276277278279279281279278279281279281280280281281280280280279278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272999270267268270272273275276278280281282281281282284286288288289289284280277276274269273277285291293294294294294294297999999999999999999999999999999999290294296294295296297298295295293295296295294295299296295297295295294293296295295294293294296296296295295295294293295294294293292293293295299297297297299300299299301299301301299299298298300300302302301302304305303304305305305304304305303305304303306305304304305304305306304305307306305304305305306307305303307306306306306306302303303303302303303303304305304302300303302301299299299299298298300300299301301301301301300300299299300298298297296296296296299297296298297297298298297299300299301298293289288288288290289290290288290290288288287289289293291295296297297297297296297299300298298298298298298298298299297298298299299299299300300299298297295297298299300299298298299299301301299299298300301301299302300302301300301302302300301300301302301302299298299299299300299299299300299298299297297296297295296297297298296296296295296295296296298297299298299298298298298298298297296295295296296296298297294294293295293296293292295292294296295294294294295292293291291291290292292293293293291292291291291290287287289290286287288286286289289288286288288287287287289285284283282283284283282282285285287289289289289289290292292292291293291293292294292291290291291292293292291291289288289289289289288289289288288289289289289288288289289289290290291291291291291291292292293293293293294293293293294294294295295294295295295295295295294294293294293293294293292291290290290289289289289289288288288288288288288287288288288289289290290290292291292292292292292291292291291290289288288291291289290290289289288291289290288289288289290289289288287286286285285285286285284285285284284284284284285285285284285285285285285284284284283280279280280281279279279278281278282279280282280280280279278277277277276276276275276277278278279281279279279280279278280280280282280281279279280278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290999999999999999999999999999999999999999999999999999999999999286999999999272270271272271271272273276277278280281283283283284283282284286288288287286284276273272271272276282289292293294294294294294296999999999999999999999999999999291294295292293296297296295296294295295295296297295295296297297296295295294297294294295292293295295294295294294293292294293292291294294293294295297297298299297299296298299298300299301298300302302302302302303303304303305304304303305302302306303304303306303305304305304303302304305304306304305305304305305305307306305305305305305306305304303302304305303305304302302300301301301301300298297298299299298300300300301300300300300299299298298298296297295297296298296296297296298298296299299300301301297293289289287290290292291291289289290291289290290294295293296295298298299295298298300300299300300299300300300300299299298297298299299300300299298299298295298299299299298298298300301299300299298298300300300300299302300300300299301301301301301302302300300301301299301297300299299297300300298299297298295295294294296297295295294293293294293295294295297297299296296297297296296295297298297296295297295298297297297296296297296295293293291292296296298297295295293293291292291291290291289290292293292293291291287288284288287287285286285287287286287288287287288289287288287283282282283284283285284286287289290291290289290290290290291292292292292293293292292291292294293293293292292290290290290289289289289289290290290291290290290290290290291292291292292292292292292292292293294293293294293294294293294294295294295295296296295295296295294294295294293293293292291291290290290289289289289288289288289289289289288288289288289289290291290291291292292292293292291291291291290289289291290290291291291291291290291291290289289289289289289289288288287287286286285286287286285285285285285284285285286285287285286286285285281284282283281281280280282281283278280278279278279279281280280279280279277277276276276276275278276277276276278279279278276277279280280278280280281280280280279279279278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999999999999999999999999999304304999999278279282287999279282284279276276274273273274275276277278279281281283283284284284284282284287287286282278281279275275277280284289292293293294295294294294296999999999999999999999999999999294296294290296297295295293293295296295296297297295295295297297297297294295295294294292293295293293292293294293294294293293292291291292292293295298298297299300299299299301302301300301302302301300303301302303302305304304304305303303303303304304304303304303303304306305305304304307307307308306305303305305306306304305305304305305305305304305306303304304304304299301302301298302302300300298300300298297299301300299299300301299298298298297298298298298296298296297297297296296297297298298300299299298292290289290290292290289287287289290291291290294295295297297298295298296296297297298298299300300299300299298297300299299298296297299300300299299299299297297298300299298300300301300298298298298299298301300299300299301300299298298299301299300301302301301302299300300297299300298300299299298299298297296295295294295295296294295295294295292293294295295295297298296298297298297296296296296295297297296298298297297298299298296295295296292294297297296295294294293294293291292291290290293290291292290291290289289288289289287284285286285287288289289289289288289289289289286286285284284284284286286288289288290291290289290291291290291293293293294294293292292290292294292295294293292291291291290290291290290291290291291291291290290290291292293293292293293293293293293293293293293293293294293294294294294295295295295295296296295295296296295295295294293293293293292292291290290290289289288288288289289289289289289289289289289289290290290290291292293293292292291290290291290288289290291290289290292292292291291291291290290290288289289288288289288288288287287286286286287286286285285285285285286286287286286287287284286284283282282280281283283280280280280279279279278279281280280280279279278277276276276277276276276276277279281279279278279279281280279279280279281280279281280280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285287999999999999999999999285294999999277277279280280279277276278279278277276277278279280280281282283284285286286286286286286285284285283282281279281281283283285288290292293293294294294294294294295296999999999999999999999999289295296296294297295295296293293295296297296296295292295297295296297295296295295293293292292292291292294294292295291294292295294295294293295293295296296296297301300299301299300301303302303303303302301304304304301303304305304306305305305306303305303306304303306304303304304305303307308307307304305304304306307307305305304304305306306304306306305305305305304301301301303302302301300300299300300300300299300300301300299299300299299297297299297298295298297295296297297296297297297298299299300299300297291290290290291291289287289288289290291292292295295298300299296295296300297299300298300300299298299298297299297298298298298298299298300299298298298297295298298297298298300299299298298297298297299299298300300301300300299299300298300301300300300301301301300299300298301299299299300298299299299299298295296295294294295295294295296296296292294295297296295296299298298297296296298295295294296298296296298298299299300296300299298296296295296297296296297295296293294293290290292291289291290290292289289287288290290291290289286287288287288288290289287290288289289287288285286286286285285286286287289290291291290290290291292291292291293294294295293294295293289290293294293294292292292291291291291291291292291290291291292291291291291292293294294294294294294293294294294294294294293293294294294295295295295296295295295295295295295295295295295294293293293293293292292291289290290290289288288289289289289288289288289288290288289289289290291291291292292292291290290290290289289290291290290289291291291291291291292292291290290290289290289290289289289289287287287286287287286286286286285286286286286287287286286287285284285283283282280280280281280280277280280280282282277280281280280279278278277277277276277277276278277278278281280279280280281281280280280280281281279281281280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283285287999999999281285288289287285286281279278281278279279278280280279280280282283284283284285286287288288288288288288289289288287287286286287288287288290290292292293293294294295295294294293292294296999999999999999999999287290294296295296295296295296295295295294294295295292291293294294293297293293293294293293293295294291292291290291291293293294295294294295294294295296297299298301300301301301300301301302303304303304302304303303304304303304304305306306305307306305305304304303304303305305304306305304306307307303305306305306306306306306306306305304306307307307307306306305305303303301303303302301301301300301301302300301300300301301302301300299299299298297297297296296298298298298299298297298297298298299299300299298294292291291291291288288289288290290291292294294297296299297300299299300298298299299299299300300300299298298299299298298297298298299300299299299298300298296298297297297300301300298298300298296294298298299300301301300299300298298298299301300300300300300299300301299299300300300299299298299299299298297295294295294295294295292294294295295296296295292297296298297299299298295297297295297296297298296297298296297296296297298298295296297296296296296294295295295294294292291291290291290289291290291289288288287288289290289288287288287288288287288289287289290289289288288287286287286286286288288290290289289288290290290291291291292292292292293294294294294294292293294293294294292293293293292292293292293292292292292293292292292292292293293295295295294294294294294294293294294294294293293295295295295295295295295295294295295295295295294294295294295294293293293293292292291292291289290289289289288289288289289289289289289289288289289290291290291291290290290289289291289288287289290290289291291290291292291292291290291290290290290290290291289290289289288288288288287288287287287286286286286286287287288287287285286284287283282282281280280281280280280280281280279279278280281280281280280277278277277277277278278278275277277278279278281281280278277279280278280280280279280281279279280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283285286288999999281281282281281282282282280280280280281280281283283283284285286287286287288288289290290290290289290290290290290290291291292292292293293293293293294294294294295295295295294294294294294294292999999999999284288292295296296296295294295295294294294294293293292292294293294294295292293294290292292292293293294292292293294293292293295295295296296295295295296297295298299301301301300302301301302302303303304305302303304304305304305304304303305303305305305304304304307306308306307304303305304304306306306305303304306305306307304304305304305305304305306307307306306306306306304302302302301300299301301301300301301301300302301301300301301301300299298298297296297297298298298298298298300298298298297297297298297296292291291292293291289288290290291290293295293297297298300300301299299298299299300299301300300300300300300299298298296297298296298299299298298300299300298297298296297298298299298297297298297297296298296302299299300300299300299298299300300300300300300301299300301300299299298300297298298299298298298297294295294295295293294296295293293294295296294292298298298300298299297296296296297296296296296296298297295295297297297297298296295297295295296297295296294294290290292292288288290290289291290289288288287288288289288289287288288288289289289288289289291290290289289287290290287287287286289288289290289288289291292292291290292292294294293294295294295294294292292292295296294293293294293293293293293293293294293293294293294294294294295295295295296295295295295295294295294294294294294294294294295295295295295295295294294294294294294295295295295295294294293293292292293291292291290290290290289289289290290291291291290289289289290290290290291292292290290289289290290290289288290290288290290290290291292292290291291290290289290289290290290289290289289288288289288288288288286287287287287286286287287286287287287286285287283282281281281281281281281281281281280280279280279280281281281281279278277277278278279277276277278277279280279281281279278279279279279279280281280281281280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285283283284999999999282278280280281282281282282284284286286286287287288288289289289289289290291291291292292292292291291291291291292293293294294294294294294294294295294294295295295295294294293293294295294293292999999999284287294296295295294293294294293294294293294293294294293295295295297296295295296294293292292293292292294294294294294294294295295296296295296296297297297297298301300302302303303301301302302303302303305304303304303306304305305305303303303306304305305304304306307307306307305304305306305306307307306306306305308305305305304306304305307307305305307306306307307306305304304303302299301300300301301300301301300301301301300301302298300299298298297297297297298297299297299298298298298299298296297298297297296293290290292292291286289291291290290291295296296298300298299299300299300300300301300300299299299300299300299299298299298298298299301299298299297299297295297298297297294296297297297299297297299298298300301300299300301300301300300301300300300300299299299299299298301300299299299299298299298298301300296296297299299296296296295295294295296295294297297299298297296297296298294293297296296295296297297296296297297297297296294296295295295293293295296295295291290291291290293290290290289288291292289288288289288287288289289289288290287290289287289290290290290290288288289289289287289290290288290289290289289290293291291292292294293293294294294295294295294294292293294293294295293294294293293293293293293293292293294295295295295296295296297297297297297297296296296295295294294294294294294293294295295295295296295295295294294293294295295295294295295294294294293293291292291292290291290291291291290290290291291291291290291289290290291291292291292291290290288288289290289288288289288289290290290290292293292291290290290290290292290291291290289290290290290289289288289288288287287287287287286286287287286288288287285285285285283282281282281282281281282281280281280280280279280280281280280279278279279278278279277276277278278278279279281280281276279280278279280279281282282281281280282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285283282999276282272276279281282283284284287288288289290289290290290290291291291291291291292293292292292292292292292292292293293293294294294294294295294295295295295295295295295295293295294294294294295295294293291999999282290294294294293293293294293293293294293294293294293293294295296295296296296296296295296295294295295294294294294294295295295295296296295295297296296296297297299300300300300302302302302302301302303306303303305304305306306305303303307303306305305306306306307308310308307306307306307307306307309307305305306307306307306306306306307305306308308308308307308306305306306307304302301302301300302302300301300300301301301302301300302301301299299297298298297298298299297298298298298299298298296298298299296296293290291292292289289290290290291290292294295297298300298299300300299299299300301299299299299299300300300300300300299299299299299300301299299298297295295298297296296296297296296297297298298299299299298301297300302301300301300299299300300300300300299299300299301299300299300300298300300300299299299298297298299297297295297296297294295295297297295298298296296296296297296295294295298296297297296297295295296296295293297294297293296296295293293296294291291292292292293291292290291290289289289287289289289289289288290291289289292290290289289290291291293292291289290289290291289290290290292291290290290290291292293292292294294294295295294294294295295295294294294294294294294294294294293293293293294294292294296296295296296297297297297297298298298298298297297296296295295294294294294294295295295295295294295295295295295294293294294294294294294294294293294293292292292292291292291290291290291291290290291291291291290290290290290291290291291291292291290290289290290289289288289290289291291291291293292291290291291291290291290291292292290290290290289291290289289290289288288287287287288287286287287286287288288287287286284284283283283281282282282279281281280281280281280280280282282282281279279279279279278278276277277278278278280280277280280278279279278280280281282283280284282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284999999287285284285282281280280280281281285286287287288289290290291291291291292292292292292293293293294293293293293293293293293293293293293293293294294293294293293294294294294295294294294294294294296294294294293292293295294294293999999281291292292293293291292292293292293293294293293294292295294296296295295295297296296297296295295295295295295294295295295295295297295296295296298297297297298299299298301300302301303303302302300301302306302304306303306305303303303306306303307307305305306306309308307309308308307307307306307307307307307307306306304305306305306306306305305306308307307308307308307307305307307303301302301300302302302302302300301302300301302301302303301303301299300298298297298298298297298298298299298297298297297298297295292293292290290288288289290291289292294293297296297298300299302300299299299299300300299300299300300300300299299298298296297299300300299296298296297296296295296296296295297296297297299296298297299298300300300300299301299300300299300300300299301301301300300301302300300300300300299300300301300299298300299298298298297297296296297296296296296297297298295296296296296295295296295295296297297296296297297297296297297297297296296294296295295296294293294292293292291290291290292293292290290289289289288288290289290291291291289290290288290291292294290289290288291291291291291290293293291291291291291290292293294293292295294293295294294294294293294295295295293294294295296295296295295294294294294293293294295296296296296297297298298297298298298298298298298298297298296296296295294294294295295296296295295295295296295295295294294294294293295295295294294294294293292292292291292292292291292292291292291291291290289290290291290290291291291291291291291291292290291290290289290289289289289290290290291292292292291291290290290290291290292291290290290290290290290289289289290289287287287286287288286285287287288289288287287286287284284284282283282282282279281282280281280281281283280281282281281281280280279279279278277276277278278278277279280278278281277279281280280280281283282281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287999285287285285284283283285285283284286287288289290290291292292293292293293292293293293294294294294294294294294294294294293294294293293293293293293294293293294294294294294295295294294294294294294294294294293293293295295296293999999285291292292292293292291292293293293292292293293292292293295296296296296295295294296297296295295296295295295294295294294294295294295295296297298298298299299300300299302300302300304302302301302300302303302304302305306304304306304306307305305304308305304307307306306308307307308307306305306307306306305305304305305306305306305303306306304307307307306307308307307306308308307305301301301300302302302302301302302302301301302303304303302299299300301300298298297298299299300300299299299299299300297298298295293293290290289289289289290289291294296296297296300301299300301301299299299301300300302300300300300301301300299299299299299299300299299298296296297296296297296295298295299296298298299299299300299299301301300300300298299302301298299299299301301300301300302302302301301299300300300300300300299298298299300301300298297298296296296293296297297297296296296296294297297298297297295297297297296295295296297297296297296296298296296295296296295294295293293293293292292292290292291292291291291290289286289290291290290292290292291290290290291291292293292291291292293291292290290290292292290291291291290291291293291293293294292293293294294294293292294295295294293293295296297297296296296295295295295293294295297297297297298298298298298298298299299299299298298298298297297296296295296295296295296296296295296295296296295296296295294293293294295295294294293293294293292291291291292292292292292292292292291291291291290289290290290291291291291292291291291291291291290290290289290288288288288289290291291292291290289290291291291290291291293292291290290290290290290289288289290290288288287287286286286288288288285289288287287285284284283283283282282278281281281281279283280281281282280282281280281281281279279279280279278281277278278278277278280279278279279280280279280281280280282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289283287288287286286287287287287285287289289289290291291292292293294293293294294294295295296295295294294294294294294294293293292292292292293292292293294293294294294294294294295295295295294293293294294294294294293293293295294295289290288292292291292292291291293293293293292292293291292293294296296296294295295295296296296295296296295295295294294294294294294295295294297298298298297296298300300301301304302302301303301302302301302301303303305306307305306306306304307307306307307307307308307307305306308306308309307307308306307307305304306306305307306306307306305305306307306309307307308307306308308308308307305303303301300301302301302302302300302302302302302302302301302298299300299300298298299300298301301300299299299298298299299299295294292290290289289291292292291294295295298298298302301302303302302301301300300300301301301301301301300301301300300299298297298298299299297297295297297296296296295296297298297297297298298298301299302300301300301300300301302300300298300299298299301301301301301301301299301299300300300298298303296299298299301301299297296297296295295297296296299299298298298295295297297294297296296296297295295297295295296296295298298297296296298298296296293294292293292291292292291291291291291291291288288288289290292291292292292292292291292290292295293291293294294292292292292294294293292291291290292292292292291294293292293294293293292293294292292293293296295295295297296297296298297298297297297296297296294295296298298298298299299299299299299299299299299298298298298297297297297296297297296296296296296295295296296296296296296296295294294293294294294294293293293292292293292292292292292293292291292292292292291292292292291291292291291292292292292292292292291291291292293292289290289289289288288290291291292290290290290290290290290293290293291291291291291291289290289289289289290290289288287288287287286286290288288286286287285284284284282282283279282281281280281280283281282282282281282281281281282281281278283279279278277278278278278277277278279279280279280279279281279281281282281282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289287288286283282284286285284285287288285286287289288291292292292293294293294295294294295295295296296296296295295295295295295294293293293292292292292293293293294294294295295294295295294294295295294294294294294294294294294293293293293293293290289289291290291291292292292294294293292293291292293293294295295295295294294295294296296296296296295295295294294294294294295296293295296296298299299300299299301302301302304303302301301302304301302302303303303303304303304306305306306305307307308307306305306306307306309308308308309307308307306306305306306305305305307307307306307308308307307310308308309309309310309309307308307307305303303303303303300301302303303302303303302301301301303302302300300300300299300299300300300300299300299300299300300298296294292292292292291289290290291293295296297297298300303303304303303300300299300301301304303302301301301301299298301300300300300299300300299298297298296297295297298296297298296297297297298298300300302301301302299301301304303303299299301302300300301300302301301300301302297300299299299301301299303295298297299299299297297297297297298297298299299299297301300299299298295297298297297296298296296297297297297296297295298298298297296295294296294294293292291289291292292291290290290289290290290291292292293292292292293293292290289289290292293294294293295295294294294293293294292292292293292292292292293294294293294293295294294294294292291293294292294294296294295296296297297297298298298297297297297295296298299298299299299299300300300300300300300299299299298298298298298297297296297296296296296296296296296297297296296296296295295295294293295294294294292293293293294292292292292292293292292291291292292292292293292292292292291292291292292291292293293292292293291292291289289288288289289289290289291290290289290289290290290290290290291291292291290289289290290290289290288289289289288287287287286287286286287288286287286286285285285284283283282282279284280282282280281282282285282282282282282282281281280281279280278278278279278278278277278280280280281281280279279280280284283283282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999999292291999999287287283283283286286285285284283284285286287288287287288289290292292292293293294294295295296296296296296297297296297296295296295295294293293293292293292292292292293293294294294295295294295295295295295294294294294294294294294294293293292293292292292292291291290291290291292292293293291290289290293293293292294294295295294293294294294295295295295295295295294295295294293295295294295295295297297298299299299300298300302301302303302301304303302301301301303303303304304305306306306305306305305305305303306307305305305306309306309306307309308308308305306304306306306305306308307307307307308308308310308309309309309309309308309308307307305302303302303302303301302302304303303303302302301300299302300300301302300299299300300299300298299301301300301300299298295296294293294293291290289292293295295297298296298301302303303304304304302302300300301302302301300301300302301299301300300300299300298299297296297297298298297298298297298298297297297298298299299298299302299300301301301301303303301301301301301303304303303303303301302301300300301298298298300298299298297296299299300297296296295298297298300301299298298298299297297299297298299299296297297297297297297298299294296296297296296297298297296295292291293292291291288291291290290290290290291291291292293292293292294294291291293289291291293295294293293293296295295294293294294294294294293294294295293293295293294294294294296295294293293292291293294293294294296296296296298296298296298298299298298297297297298299299299299299300300300300301300300300300299300299299299298297297297297296297297296297297297296297297297296296297296296294295294294293294294294294293293294293293292292292292292293292292291292292292291292292293293292291292292292292292292292293293293292292291291291290289288288288288289290290291290289289288290289289290290290290292292291290290290290290290290290289288289289289288287287287288287287286285288286286285285285286284284283283283282280280281282282281282282282283286283283283283283281282282281281280280278279281282279278278278280279280281281281279280280281283282281281282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300999302299999299999999999999999999299999999999999999999999999999999999999999999999999999999999999999287285284284285283285285286286999281283285285286285285285285287288288288288289290291291293292293294294295296296296296296296297297297297296296295295294294293293293292292292292292292292293294293294294294295295294295295295295294294294294293294294294293294292293293293293292292292290290291291292291291293293293290291292293293292292293294295294294294294295295295296295294295295295295295294294295296296296297296296297297297298298300300300299300300299301301301303302299300302302303304303305305305307307306304305305306305306305305306306306306306308308307307309306307306306306305305305307305307307308307308308308308308309310309310310310309310310308308309309307306304305303305303302303303302304305304303302302300300300302301302302302302301300299299299300301300301301300301300299297295297295293294292291290291292294295297298299299300301302303301304303303301300300301301302302301300300301302300301300299299298299298297297297296297296296296296297299297297298299298299299299298300300299300303301301299301302300301301300300301298301300302301301304302301301302301301298298299301300299300299301300299300300299298298297297300300300297299300299301299296297297297298297296297298299298297299298295293294297296297296297297298296294294292292293291290290291292291290291291289291291292292293294293294294293292291293292291291293294294296294294297296295297296294294294294295295295294294295292295292295295294295295295293293293291291291294295295294296297298298298299298298298298298298298298298298299299299299299300300300300300300300300300300300300300300298298298298297297297297298297297297297297297297297297296296297295295294295294294294294293293293294293294294293293293293293293293293292292292293292293293293292293292293293293293293293292293293292293294293292290290289288287288288288290290291290289288289290290290290290291289291291290290290290290290289290289289290289289289290288287287286286287287287287287287286285284286285285283282282283281280281282283282282282282284283283283284284284283282281282281281280280280282282279279278279280280281281280280281280281281282283282281282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301300302299298297296293293999999999999298999999999999999999999999999999999999999999999999999999999283283282283284282283282281285282282283284285286287287287288288289289290290290290291291291293294294294295296296296296296296296297297297296296296296294293294293293292292292292292293293293294293294294294294295295295295296294294294294294294294294294293293293291292292292292293291291290291292290290292290293291293292291292293292292293294294294295294294295295295295295295295295295294295294294295295296295296296294296296297296298299300301300299299300300301300298301301300303303303303304304304305305306304305305305305305307305307307307308308306310307310308307309308309308309307305305307307308307308308308308308308309309310310309309311310309310310309309310310308307304303304304302301303304303305304302306303301302302301302304302303303302302302302301300301298302301300301301300298297298295296293294295294294293293295296298299300300301302303301302301302301300301301301300301301303302302302301300300299299300299299299297298296296296297297297297297297298299298299299299300299300298297297301304302299300299298302301298300300299301299300301302303301300301301302302297300297298301301298300300298299299301300299298299299298296300297299298302299301299298295298297297298297297298299298298298298297295296295296298298297297296295294294291292291291290291292292291289291292291291291292292293292293294291293292292291292295294294293294295293294296295297296293296294294294294294294293295294293292292292294294294294294292292292291292294294295295297297296296298299299299299299298298298298298299299299300300300300301301301300300299300300300299300300299299299298298298297297298298298298298298298298298297297297297297296295295294294294293293293293292293294294294294293294293293293293293293293294292293292293293293292292292292293292292293294293294293293294293293291291290290289288288288289290292291290289290289290290291290290290290288290290290290289290290289288288289289289289288288290289289288287288287288287286287287286286286285286283282283282282281281283283282282282283284283284285284281285284283280282280281281281281279279279279279279280281281281281279280280281281281282282281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295301303301304301301300299298296295296999999296297295297297295999999999999999999999999999999999290289289282283285285285285286286286286284283284286286285286287288288287288287289291290291291291292292293293293294295295296296296296296296297297297297297297296296295294293293293292291292292292293293293294294295294294295295295295295295295295294294294294294294294294293292293293292293293291291291290291291291291292293292293293291291290292293293293293294295295295295296295295295296296295295294294296295294293294294296296296295295296297297299299299301301300301300299302301302302299303303303302302303303303304304306308305303305305306307306307308308308308308307308308306309310310310311309308307307308308308309309310308308308309309309310310311311311312312311310311310309309310309307304303304304304304303305305305302304304302302301303302303305303304301302302302302300301301301301301301300301299299298298296296294295294293295294294297298299299300300301303301301301302302302301302302302303303303304303301300300298299299298298299298297296295296297297297297296297297297298298298299299299300301299300298299301301300299299300300303303302301301301301301300300301301303302301303302301297299298297300299299297300296296295299300301299298300297296297301299298295300301294294297298297296298297297299298297297298297297295297296298297298297297296294293292290291290291291291291289292290290290291291292294294293294294294293294292294296296294294294293293293294295296296296295294295295295293295293295295294293295293293294295294294293291292292292294295296296296296297297298298299298300300299300299299299298299299300300301301301301301301300300300300300300300299300299300299299299298298298298299299299299299299299299298298298296298297296297296295294294294294293293292294294294295293294293294295294294294294294294294293293293293294293293294294293294293294294294294294294293294293292291291290290288289288290288291292289289289289289290291290289289290290289288290288289287287287287287287288288288289288288289288288287287288288287288289285287285287285284284283284282283281282283282282281282282283284285284284282282284284282283281282281281281280280280279279279280282282283282282280280281281281282281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300296300300303301300301300300299296296297296299297298299299299298295999999999999999999999999288287289289289287286285286287287286287284285287288288288288288287288289289288289289290291291291292292292292292292293293294294295295295296296296296296296296296296296296296294293292292292291292292292292293293294295295296295295295295295295295295296295295295294294294294294293293294292292293292291292291290291290290292291292292292293292288289290292293293293293293294295295296296296295296296296295295295296295295295295294295294294294296297296297297300301301302302302303302301298299301302300302302301301303303304303303304306306304305307306306309306306308307308309309309308306308309307309309309310308308307306310310310308309308307308308309310310308311310310309312311310310311309309310307305303303302302303304302301305305304304303302303303303303304305302303302303302303303302302303301301301300299299300299299297297297295295295294295297297298298299301300301302303302302302302303303302302302303304303302302301302300300300298299298298299297297296298295295296296296298298297296299299298300298299301299300299300300301302302302299300300301302303303303302302301298299298301301301301300300302299299298297298298297300300301299301301300300300300299299299298298298298300300299298293293296296296297298298298298296297296296296296295296297297296296296294292291292290291291291291291289289292292290290291292293294293294295295295294294294294296295295296293293293292296296294296296296296296296296295295295294294295293294293293295295292289293291294294294294296296296297297298298298299298301300300300300299299299300301301301301301301301301301300300300300300300300300300299299300300299300299299299300299300300299300300300300299298298297298297296296297296295294293294293293293293293294294293294294293293294295294293294294293295293293293293293294294294293294294294294294294293293293294294293292291291290290290289290289290290289289289289289292290289290289289289291289288287289288288287287287288288288290288289288289289288288287288287288289289287285285285284284283283284283282282283281282283282282282283283285285285285281284283283284283282281281282281280281280279281280281282283283282281280280280280282282280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301305300297300297299299298299299298296297293297297298300301300299999999999999999999999999288287288289286286284285286285286286285287284286287288289288289288288290290290291289290292291292291293293293293293293295295295296295296296296296296296296296296296296296295295294293293292291291292292292294294294295295295296296296295295295295295295295295294294294294294294294294293293293294292293292291291291290290291290289290290292291291290289291293294293292293293293296295296295296295296296296295295296296296296295295296296295295296297296298299300301302302302302301303302301300300301301301301302302303304304303303304305305304306306306306308305306308308305306306307306306306308308308309311309306307307306308308310309307308309309308309308308310309309308309310310309307307308308308309308306303304304304304303303302304303305303303302303304303304305304304303304302304305303303303303302302300300299299300299298300299298298298297297297298298298299300301300301302302303303304304303303304305304303303305304302302302302300301299298299298300296298298299296296295298297298297298299299299299300301301300300299299300300300302301303303302302303305304304303303302302300300301300301300298302300299302301298298298298298300300300302302302301301300298298301298298299298297295296299298297294295295297296298298298299299297296297296297298297296295295294294294293291291291290290291291289289289291290291292292292293294294294294295295295295295295297296296295294293295294295297296295295296297296296296295295294295295294295294294295295293294292292294294294294295296297297296297298298300301301301298299299300300300301301301301301302301301301300300299300300300300300300300299299299299300300299300300300300300300300300300300300300299299298298298298297297296296295294293294293293294294295294294294295294294293295295294294294294294295294294294292293293294294293293294294294294293293293293294293294292291292291291290288289290290289288288288288291290291289289289289289289286287288289288287287286286288288288287287289288289289289288288288288288289288289285286286284284284285285285284283282282283283282282282284284285284285282284285283283282282283282282285281281282281282282282281282282282282281280280280281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304303301299299297300297297298297298297297297298297298301302300999999999999999999999290999285286287285283283283283284284286286283285286286287288289289289289289289290290290291291291292292293293293293294294294296296296296296297297297297297297296295295295295295294293293292292292292292292292293294294294295295296296295296295296295295295295295295294293294294294293293293293293293292293291291291290289290290289291292291290291292292290290292294294293291292292294295295293293293294295295296296296296296294295295296296296295296297298298299300299301303302302300301301301300300302302303303300303303304303302303303304305304305305306307305307304308308309307307308310309309309311309308309310309308308306308309310310309309308309308308309306308309308308307308309309309308308308308309310307308305305305304304304304305305302305303304303304303304304304304305305306303306305305304304303301302301300299300300300300301299299298298298297297298298298297298301300301302303303304304303304304304304304304305305304303303303302301301301301300299299298300299299300298300300299300297297297299297300301300300299299300300302302303303302303303305303304304305304303303303304301302301301301300300300303302302300300299298298301300300301302303300301301301300299300299298299298295297297295295297296296295297298297298299298298297296297297298298298296296294296296293293291290291290290292291290289291292291290292292292295295296296296296296295296297294297295296296295294295295296296297295297297297295295296295295294295296295293296295294295293295295294293293295296296297297297298298298299301302300301300301300299300301301301301301301301301301300300299300300300300300300300299299299299299300300300299300301301301301301301301300300299299299298298298298297297296295295295295294294294294295295295295295295296295294295295294294294294294294294294294294294294293294293293293294293293295293293294294293293292292292291290290289289289291290289288289289290291287288288288289289289288288288288288287287286287287287287287288289290289289289288288289288288289287285285283284285285285285285286285284284282284283283283283285284285285284284284284283284282282283282282282281281281282283283282282282282281282281281280280281282281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302300299300298299299299298299299299298299297297297297299302302300999999999999999999999999288287286287285283283281281282284285287284286287287288288289289290291290291291291291291290291292293293293293293294294295296296296296296296296296296296296295295295294293293293292291291291292292291292292293294295295295295296296295295296296296296295295295295294293294294294293293293293293292292292292292291291290290291290290290290289290292292290288290293293294293294293293294293294297293294295295294294295297295296297297297297296296295299299301301301301301303302302304302303302301301300301302302299302302304302302303303303305305305307306306306307305305309306308308308310308310307308307308308305306307306306309310309309308308308309307307309308309307307308308309307308307308310309308307306305306305304304305304304304303304305305303304305304304304304306306306304305304305305304304304303303303302301302300301300301301300300300299299299299298299300298297299299300301302305303303303304304304305304305304305304305303303303301303302302301300300299299301301301301300301302302301300299301301301301300300300301302304303302304304299304307306305304304302304305304303303302303304302302300299301300300299302300299298300303300299301301300298301302301300300299299299299298295296296296298298297297296297298298299299298299300298296298296297297293295294295294294293292291291289291291289289289292293292293294292292294296295296294295297296297297297296295295295295295295296296298296296297296295296294295294292293296294295296294295295294293294295293294296295297297298298297297298298302302301301302300300302301301301301301301301301302301301300300300300300301300300300300300299299299299300299300300301301301301301302302300300300300299299297298297297297297297296296295295295295295294295296295295295295296296296296296295295296296295295294296295295294293294293294294293294294293296293293293294292293293292292290291290290290291290292291290290289292291289289289289288286289287289289289287287287286287287288288288289289289290290288287288288286287288285286285283284284284284285284285285283283282281284283283283285284284285284284284284284283283284283283282283283283283284283283283282282281282282281280280281281282281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302999304302302302301298299299300300300299299298298298297297297298299301301301304999999999999999301294292287284285286286282280279281280282283283284286287288290288288289290291291291291291291292291293293293293293294294294295295296296296295296296296296296296295294294294293292292291291292291291292292292292293294294295295296296296296295295295295295295295295295294293294294293293293293293292292292292292292292290292290291292293292290291291290291289288289292291295293293293292292292292295296294293296295294294294294295294295296296296297296298299299299301300301301301303302302301305304303300300302302302302303303304302303303303304304305304306306306307304308306306307308308308307307307306307308308308307307307307308309309309309308309307307308308308309308309309308308309310309309310309310309308309308307305304304304304307307307306305305306306307305306307307306306306305304301304305305304304303303303302301303302301301300301301302301300299299299299300299298299300301301301303304304303304303304305304304304305305305305303304303303302302302302302300300301302302301301302301302302301301300299300301301301301301301302303304305304303304304305306302304303302304305303304303303304305302302302301299301300302300301301299303303302301299300300299300302299303301299298297297297301296299295296297298298298298298299299297297298298297297296297297297297294294295295296294293292290289289291291291292292292291293294294295293295295295295296296296297295297297295295293295296296297295298297299297295292295294293292293294295295295297296295295294293294294294295296296298298298298298297299300302301304304300301303301302301301301301301301301301301301300300300300300301301300300299300299298299300301300300300301301301301302302301302301301301300299298298297297297296297296296296296295296295295296295296296297296296296296296297296296296297297297295295295295294294295295294294294293294292294294294293293293294293293292292291290290290291292291292291290291291291291290289289288289288289288289287286285285285286287289286287287288289288289287287288287287287285284284285284283284284284284285284284283283282283283281283285285285285286285285284284284283283283283284283283283284284284283282282282281281282282281281280281281282281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302302304303305303299300301301300300300300299300300298298298298299299300302301302303999999999999999302293291286283285286283279278279280281282285285284286287288289289290289290289291292291291292293292293293294294294293294295295295296296295295295296296296296296294293293293292292292292292292291291292291291292293294294295295295295296295295295295295295295295294294294294294293293293293293293292292291291292291291289291291291291290291290291292290292291288290291293294296296296295295292294293292295293293295293295292294296294295295295296296297298300300301301300300301303301303302301300301303303301303303304304303303302302304303304305305306307307307306307307305307307308308308308308308308309311308308308307309308308308310309308308309308309307308309307308308307308307309309310309309309311310310309308308306305304305304307304305303307305306307307308308308308308307308308306305304304305305305305304303303301302301301301302303303302302301301301301300301300299299300301300299300302304304306304303305305305305305305306305306305304304304304303303303303303302303301302302300300299301302300303303300303304301302301302301304303304304305306305306307305306305303304306305305305304305304303300301301299298299302302302302303299301301300302300300302301299301301302301300299297300301301300296298300299299298297299299298298297295298298296294294296295297295296295295293295294292290289291290292292293293294294293293294295295296296295295296297297297296297296296296296294295294295294297298297297295295294295296294292295295295294296295295296293293295296296295295296296297298299298299300301302301303304303303302300304303302301301301301300301301301301300301300300300300300300300300300299299300301301301301301301301301302301302302302301301301300299298297297297296296297297296296295296296296295296296296296297296297297296297297296297297297297296296295296296295295296295295294294293293295294292294293292293293294292291290290290290291292292292293291291291291292292290289289290290288288289287287286286286286286287286286287288288288289288288288288288287287285285286287285286285285285284285283285284283283283283283283284284285285285284284283285284284283283284283284284283283284284282283282281282281282282282281281281282282281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301304305303305304303303302301301301300301300300301298298298298297299299299301301300301302302999999999999999999291288286287287284278277280281283285286287288288288289290290291289290291292292293293293294294294294293294294294294295295296296295295295295295296296295295294293293292291291291292291291291290295297290291292293293294294294295295295294294294294295294294294294293293293293293293293293292292292292292292292291290291290290291292291292291291291290289288290291294294295296296295294295294295295294293293290293293296296294295295295296296294297297299300300300300299300302301302302302301303302302304303303304304305303303304303304304306306305306306307304307306307306307306308306306307307308310310308310309310309310308307309308309309308309309308308308309308308308308308309309308309310309310309309310308308309306307305306306304306305305307309308308308309308307309309309308307306306305305306305305305305304303303302302303303304304305304302301302302302302301301300301301302302301303302304304305305306305306305305304306305305306305305305305304304305304303304303303300300299300299300302300302301303302304302304303302304303303304303301304303305305305305305304306305306306304305306304304302303300300300302303302301302301301302302301301301302302301300301301300300299300298299300300295296295301300298298296298297298296296296298297294294295296295295295296295295295295293293291290292292292292294294295295295295295295294295295296297296296295296297296297295295294294295295296295296298296295295295295295296295294292294294293294295293294293295296297296296296296297296296297297298299302303303303304304303301302302304302301301301301301300301301300300300300300301301301300300300299300299300301301302301301301302302302302302302301302301301299298298297296296296296297296295295295295295295295295296296297297297296297297297297298297298297297297296296295295294295295294294295294293293293293294295293292292293293292292292293292291292292291291292292292292291291292291289290289289288288288287288285285285286287287286287286287289288287289288287288287287285284284285285284284285285285286285285285285284284284283283283285284285286285285285285285284283284283284284284285284284283283282283282282282282281282282283281281283282281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303304303304304300300301301301301301301302301302300301298298300301300300300299300300302301999999999999999288291288285285283280275278281283284285286287287289289290291291290290290292292293294294294293294294294293294295295295295295295295294294295295296296296295295294293292292292291292292292291291291295296291292293294293294295295295295294294294294294294294294294293293292292292292292292292291291291292291291290289290289289290291291291292291291291290290290292293293294296294294294294292293294293291291293294295295296293296297295296296298297298299301301302299299300301301302303305301302302301303301302303304304304303305305306306306305307306305304305304307306306307307307307307307308308307309308307308309308309309308308308308309308309308307309307308309310309310310308309309308310310309309309309309309309307305306308306305305305305305308307307308308307309308309310309309308307307307306305306304306306304304305303304304304305305305305304303304304305303303303301301301301301302302304305305306304306305306305305305306305306306306305305305305305306305303305303302301300300301301302301301302304303303301304302303302304302304302302303303304302304303306305307307306305306303305305302305305306304302301303302302301303302302304304301302300301303302300301302302300299298297300299301300300298297296299298297298298296297297297297297295296294296296295296296294296295294294292292292294294293295295296296296296295295294294294294296296296295295297296297296296295295295297296295296296295295296296297295296294295295293296295295295293293294294294297296297298297296295296300299298299300301302302303304303303303302302302302301301301301301300301300300300300299300300301300300299299299298299300300301301301301302301301301302302301301301300300299299298298297296296296297296295296295295296296296296296297297297297297297298298297297297297297297297296296295295294294295294294294294294294293292293293294293293294294292293293293292292291292290290291293293292291290291291289289289289287289288288287286286286286288287288287286287289289287288287288287287286286285283285285286284285285285287284285285285284284284284284284284285284285285285285284284284287284284283284285285284284283283283282282281283282282282282281280282282281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303301302299299301301300300300301301300300300300299302299300299300299300299299300301299300301301999999999999999999999290284279280276273278281283284284287287288290292291291291291291292293292293293293294294293293293294294295295295295295295295294294295295295296296295293293292292292292292292292291291291291291292291292293294294294295295296295294294294294294294294294294293293292292292293293292292292292292292289288290290291290290292292292292292292291291289290291291292295294294294292292292292293294294291290291292292294294294295295295295297298297298300300301301300300300300301302302301301302303303303304305303304304304303304304304305305306306306306306307307307304305306306307306307308308307308307307307308308307307307308309308307308309307309307308307308309310311310310309308308308309308309309308309307308308305306305305304306306307306306307307307305305306308307308309311309308308308307307306306306307308305306306304304305305306306306305304305304306305306306304303302302301301302302304305306307307305306305305304305305305306306306306306306306306307306304305302302303303302301302302303303301303303302304305303303304304301304303301302302304304304306307307306307307305305302304303303305305304304299301302303303303302302302304302301301302301300305303301302301300300300299300300301300301299297297297301301300299299299298297297295294295296296295295294294294296295293294293293294294295294296294296297295295295296294296295295296294293296295296296296297296296296296296296296295294295296296295297294295295295294295295296296295294294294293295296297298298296297297298299299298300301301301302303303304304302301301301302302302301302301300301300301301300300300300301300300300300299299301300301301301302302302301302302302302302301301300300299299299299298297297297297296296296296296296296296297298297297297297298297298298298297298298298297296295295295294294295294293293293293294294294293293293292293295295294293293293293293293291292292292291292292292291292292291291290288289288289289287287286286286286288286287287288288289288286288288288287286286284285284285284284285284285285286285284286284284284285285286283283284285284285284284284283284285284284284284284283284284283283284283282285282282282282281281281283282281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303301302301300301301302301301301300299299300301300301300300300298298299298298298300300301300300300296999999999999999288283277277273274277281283283285286289289291291291291292291292292292292293293293293293293293294294294295295295295295295294294294295295295295295294293293292292292292292292292291291291291291291291292293294294295296296296295295294294293294294294294293293293292292292293292292292292292292292291290291291291291290291292291292293293293291291289289289293294292293292293296294295293293293295293294292294295294295296295296298298299301300299301300300301302301301303303303303303303303301301306304304304304304304304303304305304306305305306304305307305305305307307307306306306307307306307308308307307307307307308308308308308306307307308308308307308309309308309309309307308309307307308309307307307306306305303305305304306306307308307308307306305307308309307309310309309307307306305306306307307308306306306305306305306307307305305304304305305305305305305304303304302303303303304304305305306304305302304304304305304305305304306306306305305306306303304303303303301301301302301302302302302301303302302302302300301301302301301302302303303305304304305308307305304303306305305304305304302302301302302303303302302301302303302301300302301303304302300302301300299298298298298297297300298298296296299298299299298299298297296294296295296295296296297294295294294292292294293294292294295296293296296295295297295294294295295294297294295297296296295297295297296296296296294295294294295294294294294293294297295295296297296295294294293296296297298298297297298299299300300301299301301300301302303303303303302302302302302302302302301301301301301301301301300301301301300300300300301301301301301302302302302302302302301302301301301300300300299298299297297297296297297297297296296297297297298298298297298298297298298298298298298298297297296295295295294295295294293293293294293294293293294293293293294293292292293294293294292292292292293291291292293291292292290290290288288287286287286286286285286286286285286287287287287287288288286285285285285285285285285285285284284284285284285283285284284284284284286286285284285284285285285284284284285284284284284284284284283283283283282282282282282282282281281282284283282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299301300302302301300301302302301300299300300301301303300298299297297298296297298299299297298299999999999999999286286282278276273274278282282282284286287288289290291290291290291291292292292292292292293293293293293293294294295295295295294294294294294295294294293293292293292293293293292291291291291291291291292292292294295295296296296295295294294294294294294294293293293292293293293293292292291291291292292291291292292291292293294293293293293293291291292290292292293294295295295294294295295294295295294293295295297296295298296298298299299298298299300300302302301302302303303301305303303303302304304305305305304304304304306306304306305304305304304305306305305306307307305307307307308307305305307306307305305305307308306306309308307307307309308306308308308308309308308310309309309308309309309308307307308305305305305305305305307306308309310306308306307307308307308308308306306306306306305306306306306306306306305307305307309308307308307307306306306306306306306304303304304303303304305305305305306305305304304304305304304305304306306305305305306305304303303303302302301301302302302301302302302301301303302300301301302301303302301300302303303303305305304304305305303305304305306304302305301301303303305303302302303302303305304302302301301304302299299300302300298300300297298297297298298301296297298298296297296298297296297298297297296298297297294295294294295294293292293295294294295294295296296295296296295295293296294297293297295295296296295296297296297296295297297296297295293294294293296295295295296295296295296295294295297296295298296297298299300300300302301301301301302302302303303303303301302302301302302302302301301301301301301300300300300300300300300300301301301301302302302301301302302302301301301302301301300299300299299298298297297297297297296297296297297297298298298298298298298298298299298298298298298296296296295295295294295294293293293292292294294293293293293293293292294292293294292294293293291291292292291291292292291290292291290289288287288287287285286285284285286285286285286285286286287286287285285284285284284284285285286285285285285285285285284284284284284286284285287285285285285285286285284284285285285285285285284284284284284285285284282283283282282281282283283283283283282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301301302302301301302302301303302302301301302302302302301298296297295297296297301299298298297297296295295999294288286284281277275274276281282282282285287288288289290291290291292292292292292292292293293293293293293293293293294294294295294294294294294294293293293293292292292292292292292291291291291291291291291291292292293294294295295295295294294294294294294294293292292292293294293293293292292291291292292292292292293292292292294294293294293293292293292292292293294294296297296295296296296296298298297297297295295296296297298298298298298299300301301301300300300300303303302301302303303302302303302305304305303303303303304305305306307306305306304304306304306306308306306305305305306304306304306304305306306306305306306307307307306307306308308310310309310311310310309310310310310310309308309308308307307308308306306306306306307306308308309307309308308307307308307307308306305307307306307306306306308307307308305305306306306308309308308309308306307307307307306306306307306305304305305306306306306306306304305305306306307306306306304305305305305305305304305304303303303304302302301301301302301301301301303302302302303301302302302302302304304304304305305304306305303304303304303305303304304302301301301302303302303303305305304304302302302302302300300301300302301300301301299299299298297299295300299298298298297295296297294294294296298296297296295295295294293296293295293290291294294295294295294293294295295295296295296297296298297297296295296296296298297296297296296296297294297295296295295296295297298297293295297296296295295296296296297297298300300300301302300301301303302303302303303304303300302302302302302302302301301300301301300300301301300300301300300301300301301301302302302302302302302302302302302302302301300301301300299298298298298297297297297296297297297297297297297297296298298298298298298298298298298297296295295295295295294293293293293292292292293293293294294293292293292294293292292290291293292291292293291289292292292292292290291291289287288288288286287287286286285286286286286286286286287287287289285285285283284284284285285285286286286285285285285284285285284285284286286285286286287287286288286286286286286286286286286285285285285284285285284283283283282282282283283283284283282281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302302302301301301302301301301303302301301300301304303303302298297297297295296297299297298299298297295293295295294293290285286283280278277279281280281284285287288288288289291292292292293292293292293293293294294294293293293294293294294295295294294294295294294293293292293293292292293292292291291291291291291291291291291292292292293294294295295294294294294293293293293292292292293293293293293293292291291291292292292292292292292292293294294293292292293293294293293294295295295296296297296297297298297296297297298298300297298298298299298299300299300300301300300301300301302303302301304304303302302304303305305306304302303303302305304304305305308306306305304306306306307305307304306306306305306306306306307306307308307307307306305308307307309307308310309309309311310310310308309309310310310309309309310308308307309307308306308309308307307308307307309308309308308306307307307307307306307308307307307308307307307307306307306306307307307306307308308307308308308308307307306306306306306306305306308307307306306305306305305306307306308308307306305305306306306306305305305304303303303302301302303302302302302300300303301301302301301302302301302304303304303303304305305305304304304305305306304304303303303303301302302301302301301301303303302303302301302302301300301302301301300301300300299299299300298298300300298300299298298296296297297297296298296295295294296294296294295294294293290292293294295295295294294296295295297298297298297296296297297296295295294296296297298297297296297297296298295298296296294296298297297294297296297297296296295297296297299300300301301302301301303302301302302301302302302302300301301302301301301301301301301301301300301301301301301301301301301301301302302302302302302302302302302302302302302302303301302302300300298298298298297297297297297297296296297297297297297297298297298298298298298297297297296296296295295295294294294292292293292292293292292294294294293294293295293293293293292292293293293294293292290291291292292292291290291290290290289288287287287287286286286286285286287288288287286287288284286285283284284285285286286285284285285285285285284284285285285286286286285285286287287287287287287286287287286287287286287286286286285286286285284284284283284284284284284284283282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303302302304302303302301300301301302305302304301300301302302299297297296296294297298299299299301297295293294292293294292287292291999283279276281280279282284286287288289289291291292292292293293292293293294294294295294294294294294294294294295295294294294294293293293293293293293293293292292292292291291291291291291292292292292292292293293294294294294294294293293293293293293292292293293293293293293292291291291291291291291291291291292292292293292292293293293293293293294294294295296296296296296296296296296296297297297297297298298298298299299300300300300300300300301301302302303303303304304304303303303304305305304305305304305304304304305306306306306306307307308307308307306307306307306306307307306306307308307307308308308308307307307307307308309309310310311310311311311311310310309309310309309309310310310309308308307307308308309307306307308308308308307308308307308309307309307307308305307307306307305306306306306306307307306306306306306308308307307308307308308306307308308307307306306306308308307307307307306307306306307307307307307308308307307306306306305306306305304303303303303302303302303302301302302302301302302302302302301302302303304302302303303306305304305305303305305305304303304304302301303302302302302303302303301302303303303301301302301301300302302300301299300299300298300301300299299299301302299298300299299297297297295296297294294295295294295294295295296295295292294294294295293296296296294294296296298298296294294295294296294292292294296295294296297295295297297297297297298295295296297295297296297297296296296296295296297297298299299300300300301301301301301302301301301301302302302301301301301301301302301301301301301301301301302301301301301301301301300301302301302301301302302302302302302302302302302302301301301301300300298297297297298298297297297296296297296298297296297297298298299299299298297296297296297296296295296294293294293292293293292293293293294295294294295295296295294294294294294293292292293293293292292290292292292291290290291290290288289287288288285286287286286286286287286287287287286286285283282284284285283285285284284284285285284285285285285285286286287286286286287287286288287287287286286287287288287287287287288287286287286286286286285285284284284284284284284283282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305302303303302304303302303301301302302302304304304303303302301302301299298297297296295297298298299299297300999999999294999999999999999999999999999279278280281283285286288287289289290291292292292293293293293292294294294294293293294293294294294293294294294294294294294294294294293293293293293293293292292292292292292292292292292292293293292292293294294294294294294294293293293293293293293294293293293293293292291291291291292292291291292292292292292293292293293293293294294293294294295295296296296297297296297296296296297298298298298298297298298299299299299299300300300300301301301302303303303304303303303304304304305305305304305305305305304305306306306306307307309309308308307307307307307307307306306306306307308308307308307308308308308307307308307309309309310310310310311310310310310310309309309307310309309310309308307308306307307307306307307306308308308307308308307307308308308308308306306307306308308307306306306307307306307306306306305306305306307307307306307309308307309310310308307307306305306307307308307307307307307307306306307307308307307307307307307306306305306304304303302303302303303302302303302303302303302301302301301303302302302302303302302304303302306305305306303304305303303305304305304303302303304304302303302302303302303300299300300299301300301302303303301300301301299301299301300299299298299301299301302300300299298297296294294294295295294296295296295295295296295294294294295295296296295296296295296296296295294294291294293293291293293294296296296296298296296296297297296297299295297296297295297297297296296296296295295296296297298299299299300300300301301300301301301300301301301301301301301301301301301301301301301301301301300301301301301301302301302301301302303302301301302303302302303303303303303303302302301301301300300300299299298298298298298297297296297296297298297297297298298299299299299298298297297296297296296296294294292293294293294292293292292293293294294294294294295295293296293293292293292291293292291291291290290291291291290290289290291290288288288287286286287286286286286286287285286286285285285283283284285285284283284284284285285285284285285285285285285286288287286287286285287286286287287286287287287287287288288288287287287286287286287286285284285284285285284284284284283283282281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306304304304305305305304304304302302303303304304302303302302301300300301300298296296295295295296297999999297999999999999999999999999999999999999999999999279280280283285287288288289290291292292293293293294293293294294294294293294293294293293294293293294294294294294294294293293293292293293292292292292292292292292292292292292292292292292292292293293293294293293293293294294293293293293293293294294294294294293292291290292292292292292292292292292293292293292293294294294294294294294296296296296297297297298298298298298297298298298299299299299299299299299299300300300300300301301302302302302302303303303303303304305305305305304305305305305305305305306306307307307308308309308307307307308308306306307306307307307307308308308308308308307308309308307307308309309310310309309310310310310310310309309309308308308308308308309309308308311310309308305307307308307308308308308307307308308308308308308308307306306306307307306306306307306306307306306305305305305305306305306306306309309309309308310307306306305303305305307308307307306307307308308307308308308308307308307307306307307306305305305304302303302303301303302304301302301302301301300300301300301302303303303304301301302303303304303302303303305304305304304303303303303302304303303304303302302302301300300299298300300300301301302304299303303302300301301302301299298298298301302301299301300299298297296294296296296296295295296295296296295296296295294293296295297296294297296297298295294294294294294294294293292294295295296295296298297296295294294298294295297297298298296295296298297297296296296296297296297298298299299300300300301301300300301300300300301301301301301301301301301301301301301301302301302301301301302302302302302302302302302302303302302303303303303303303304304303303303302302301301301300301300300300299299299298298298297297297297297298298298298298298298298299298298297297296297295295296296293293293294293295293292292292292294293294294294294293295296295296294293291292291291291291291290290291292292292292292289290292292291288288288288287287286286286286287286285284284285285285285284285284284284284284285285284284284284285285286285285285286286287287286286286285285286286286287287287288288290289288288288288287288288288287286286285284283285285285284284285284284283282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307307304302303305304303304303302302301302304305304302301300300299299301301297295295295294294296297999999999999999999999999999999999999999999999999999999280280281285287288288289289290291292293293293293293293293293293294293293293294293293293293293293293294295294294294293294294293292293293293292292292292292293293293292292292291292291292292292293293292292293293293293293293293293292293294293293294294294293292291290290291292292292292292292292292293293292292293293294294295294294295295296297297298297297298297298298298299298298299299299299299298299300300300300300300300301302301302303303303303303302303304304304304305305305305305306305305305305306307307307307307308308308308309308308308308308308308308307308308308309309309310309308308308309308309309309309308309310310310310310310310310309309308308308309308307309308308308309309311309309307307308308307307307308309308308308308307308308308306306306306307306307307307307306308308308308307307306306306306304305305307306306308309308308308309308307306304303307306308307307307308308308308309309307307308308308307308307307306307305305305305305304305303303302302303302302303302300299300300300299300300302304302304303302302302303305304303303302303304304304304305305304305305305307305304305304302302301301301300301301301302301303301301302301302302302301301302301301299299299298302302302299300300299299297298299299298297297296296296296297298297298296299298296297297297298297297296297298295296294295296295294293293292294294295296297298299297296296296296297297297300298298298298297299298297297297297297296297297297298299299299300300300301300300300300301301300301301301301300300301301301301301301302301301301302301301301301302304303302301302303303303303302302302302302302303303304304303303302302301301301301300300300299299299299299298298297297297297298297298298298298298298298299298298297297296296296295295294295294294293296295295295294292292293294295295293294294294294295295294293290291292291292290292291291291290292292290291291291289291291290288288288288288288287286285286286285285284285285285284284284285284283285285284284284283284285285286286286285284284285286286286286286285286287287287287287287287289288288289289288288286288288288287287288287286286286286285285284285285284284284283284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303304305303305305305304305302303302304302302304302302301301300300300301298298295293293292294295299999999999999999999999999999999999999999999999999999999282279281285287289289290290291292292293293293293293294294293293294293294294293293293293293293293293294294294294294293293293293293293293293293292292292292293292293292292292292291291291291292292292291291292293292293293293293293293293293294294294294294293291290289290292292292292292292292293292293291293293294292293293294294294295295297297297298297297297298298298298298297298299299299299298299299300300299300300301301301302302303303303303303303303303304304304304304305305305304305305305306306306307307308308308307308307308309309308309308308308308308308308308309309309310309308309308308309309310310310309308309309309311311310310309309310309309309309310309309310308308307310312312308309309308308308307308308307308308308308308308309308307305307307307306307307306308307307307308308308307306307307306306306306305306308308308309308307307309310308306305305308306308308309308309309309309309309309310309307308308308308305307307306304304305306306305303302303304305303301303304303301302301301301300301303303303304303303303304304305305305303303303302304305304306305304303303306305304304305303303301303303302303303301301301303304303304304302302301301302300302302298298298301298300299301299300300298298298299298298298296297297297297298297299298299298299299299298296298298296298298296296295294296295294294294294294294295295296298297298297298297297297297297296298299297298298298298299298297297297297298298297297298298299299299299299299300300300300299300300300300300300301300300300300301301301301301301302301302301301301302302302302302302303303302303303303303303302302303303303304303303302303302303302302302301301301300300300299299298298298298298297298298298299298298298299299299299298297296296296296296295293293294293293294294295293294295294294294294293294293292294295295295295293291292292292293290291292291291291292292292292290289290290290291288288288289289286286286285287287285285285283286285284286285285285284285285284283283283284285286286286286285284285285286286287287287286286286288287287287288289290289288288290289290288288288289288287288288288288287286286286287285285284285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302303301304304304305302302306303302303303304305304303302301300299299300298296295293292292292293999999999999999999999999999999999999999999999999999999999282280281284287288290290291291292292292293293293293294294294293293294294293293293293293293293293293292293294294294294294293293293293293293293293293292293293293293293293293293292292290291291291291291291290290291292292293293294293293293293294294293293293291290290289289292292292292292293293293292292292293293293293293293294295295294294297297297298298298298298298297298298298299299299299299299300300300301301300302302303302303304303303302303303303304303304304304304304304304304305305305306306306306307308309309309308307307307308308308308308308308308308308308308309309308308308308308308308309309309309309309309310309308310310308309308309307309309309309310310311310308309308310311310309308309309308308307308309306308309308308307308307307306306307306304306307307305307307306306306307307306305305305307306307306306306306306308308309308309309309309306306306307306308308307308309309310310310310309309309308308307307307308306305306306304306305307305305305305303304303302304304304302303301300303303302303302303302303303303303303305304305303303304302305304305305305303303304305303302304304303303303304302303303303303302302303301303302302301301301301301300300299299300297298300300299301299299298298299297300299299298298297297298299299298298296298299299300300298295298297298298297296296296296296295295295295294294294294296298298298298298299299298299298298299300298299300299298298299298298298297297298299299298298298299299299299299299300300300300300300300300300300300301301300300301300301301301301302302302302301302302302302302302303302303303303303303303304302302302303303302303303303303303303303303302302302302301300300300299299298298298299298297298298299299299299298299299299299298298297297297296296295293294293293295294295295294295294295294294295296295294295294296295295295294292293292293293291292292292291292293292293292291291291291291291291290291290288288288287288288286288286284285286285286286285286286286286287286284284284285288288288286286286286287286287287287287287286286287288287288288290289291290289289291289290288288288288288288287288288287287287287286286284285284285283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304304302304305301305301302304303303305303304304302301299299297299297294293295293292292294999999999999999999999999999999999999999999999999999999999281283283285287289290291291292293293293293294294294294295295294294293294294293293293293293292293293293292292293293293294294294294293294294293294294294294294294294294293293293292292292291291290291290290290290290290291292292292293293293293293294294294293292291290290290290292292292292293292293292293293293293293293294293292293295295295295296297297297297298298297297297297298299299299299299299300300300299301302302302303303303303303303302302302303303303302302303303304304304304304303304305305306306307308308308308309308308308308308308309308307308308309308308308308308308308308308308308309309310310310310309309308309309309309309308308307308309308309308308310310310309309309309309310309310308308308308307307308307307309309308308306306306307306306306306307307306307307308307306306306306306307305305305306306306306307307306308308309308308309308307308307306307307307307308307309309309309310310310309308309307307306307306307306306306306306307305308307305306305303304304304303304305304303303302302302302302299301303303303303303303304304303304303303303303304303304304304305305306305303303303303304304303303300302303303301300303302301303302301300300300300301299300301300300298300300301301300299299299299299300300299300299299300299300299299296300298297298301299299299299299299297299297295297296296295296296295295296296297295298299298299299297299298299299299299300299299300301299298299298298298298298298299299298298299299299299299299299300300300300300300300300300300300301301300300300301301301301302301301302302301302302303303303302302303302302303303303303303302302303303304304303303303303303303303303302302302301301301300300300299299299298298297297298298299299300299299298299299298298298297297297296294296296294293292294294294295295295294296296295296296296296297296294293295296295294294293293295294294293293293292295295295293292292291292293293292293293291290288288289289288287286286285286286286286287286285285286286285285285284284283285286288287286286286286286286286287287287286285286286287288288289289290289289289289288289288287287287287288288287287286287287286286286286285284284284284283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301302302301305302302302302305305305305305303303302301300299297296297297293293292296999999999999999999999999999999999999999999999999999999999999282281282284287289290291290291293293293293295295295295295295294294294294293293294294294294294293294294294293293293293293293293293294294294295295294295295295295295295294294294294294294292291292291291291291291291291291291292292293293293293293294294294293292292291291290290290292292292292293293293292292292292293293293293293999293295295295295296296298298298298298298298297298298299299299300299300301301301302302302302303303303302303303302302302302302303302303303303304304304304304303303304305305305306307308308308308309308309308309309308308307308308308308308307307307308308308308308308309309309309309310310310309308308308308308309308308307308309308309308308311308309309311309310309310309312308306307306307308308308306306308307307307306306307305307306306307307307307307308307307306305306306306306306306306306306306306308308307308308307308310309306308305307307307307308308308309308309309310309308308307307307308307307308308308305307307306307305306306307306305305303304305304304304304304305303302302301302300302302302303303303301302303304304304303304304304304304303304306305304303304303305304303304302301301303304304301301301300301301302303302300301299300300300301301300300300301303301301300299299300299300299300301300300301301301301297298298298295298300299299299299297297296298296296296297296295296296296296297297298297297299298299299298300299300300300300299300300300300299299298298298297298298299299299299299299299299300299300299299299300300299300300300300301301301300301300301300300301301301301302302302302302302303303304303303303303302303303303303304303303303303304304304304304303303303302302303302302301301301301301300300299299298298298298298299300299300299299300299299300299298297297298296296297297297294295295295296297295295296296296296296296295295296295295294296296295293293293293295295294294293293293294294294293292291292291292293293293292290289289288287288286287286286285286285285287286285286285286285284284283285283284284285287287284286286286287287286287287285286286286286287288288290290290290288289289289288288288288287287287287288287287287287286286286287285285284284283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300303302301305301303302303305303304304304303301302301301300298296297295292292297999999999999999999999999999999999999999999999999999999999999277279279282285288290290290291292293293293293294295295294293294293293293293293293294293293293293293293293293292293292293293293293293293294294295296295295295295295295295294294294294294293293293292291291291291291292291291291292292293293294294293294294293293292292292291291290290292293293294293294294293293293293293293293293293292294295295296296297297298299299299299298298298298298299299299299300300301301301302302303303303303303302302302303303302303303303303303303303304304304304304303304304305306306307307308307308308309308308310310310309307307307308308308307308308308308308308308307308309309309310309310310309309309309309308308308308308308309309310310308309312310309310309311310310309311312309307308307307308307307306306310309308308307307307306307307307307307308307307307306306305306307307307307306306306307307306307308308307308308308308310309308308307306307308308306308308309308308308308310308308308307307309307308305308307306307306306307306305306305305305304304304304303304304304303303303302298299302304303302303302301302303302303303303304303303305304304305302303305304304302303304305304303303302302301304304304302303301301302302303304303301300300300300300300300299300301303304300301300300300300301300299301300301301301300302302301298299298296297300301301301299297297296296296296296296297298297297297297297297298298299299298300299298300301299300300300301301300300299300299298298298298299299300299299299299299299300300300300300299300300300300300300301301301301301300300300301301301301301301302302302302303303303304304305304304304303304304304304304304304304304304304305304304304304304304303303302302302301302302301301300300299299299298298298299301300300300299299299300300298298297296297297297296296297295294295296295294296296296295294295295296296296295295293296296295295296294294294294295295294294294295295293294294291292292292291292293292293292291290288288288287287286286285286285285285286286285286286285284284284285283283284286285286284285285287287287287287286286286286286286286287287289289290289289289289289289289289288288288287287287287287288287287286286287286286284285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305305303301302302302303302304303306304305305304303301301301299296295295293292294297295999999999999999999999999999999999999999999999999999999999279278281285288290291290290291293293293294294294294294293293293294294294294294294294293294294294294293293292292292292292293292293293293293294294295295296295295294295295294295294294293294294293291291291291290290290291291291291291292292293292292292292292291291291291291291290291292293294293294294294294293293293293293293293294293294295295296296296296298299299299300300298299299299300299300301301301301302302302303303304303303303303303303304304303303303303303303303303304304304304304305305305306306306306307308308308308309309309310310309309308308308308308307308308308308308308308309308309310310309309309310309308309309308309309309309309308309309309310309309308309309310309309311310310309309308308307308306306306306307306306307307308307307308307306308307307308308307306307307306306306306306307307307306307307306307307307307309309309309308307308308309309306307307307308307310308309310310308309310306308308307307307306307305308306306307305306306306306307305305306305304302303302303303303304304302302301301303301300301303305304302305306305304303303304304304303304303302303303304304305305304305304303303303303305302302302302302302301302302303304304303302301300300301300300299300301302303301301301303302302302302301301301302302301302303299299298299299299299301301300300298298298298297297297298297297299297297297298298298299299300300299300301299301302301301300301301302300300300300300299299299299300300301300300300300300300300300300300300300300301301301301301302302302302302302302302302302302302302302302302303303304304304304304304305304304304303304304304304304305304304304304304304304304304304304304303302303303302302301300300299298299300299297298298299300300300299299299299299299298297296296296296294296296297295295296297295295295295294296296296296295296295294294295294295296294294294294295295294295294294293295294295295294293293293292292292293294294293291291289289289290287288285287286285286286286287286287286286286285285284284284284285285284284285286286287286286285286286285285286286286287287290291290289289288288289289288288288289288287287287287287287287287287286287287286286285285286284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308307306306304301301301304305304305305305304305305304304301301300298297296295291292293300999999999999999999999999999999999999999999999999999999999279280280284287289290291291292292293294294294294294294294294294293294294294294294294294294294294294294293293293292292292293293292292293293293294294294294295295295294294295295294294294294293293293292291290290290291291291291291290291291291291291291291291291290290291290289289290290291291292293293293293293294293292292292291292293293293294294294294295296298298299299299300300299299300300299300301301301302302302303304303303304304303303304303304303303303303303303303303304304304305304305305305305306306306307307308308308309308308309309309308308308308309309308308309308308308309308308308309309309309309309309309309309309309309308308309310310310308309309310309309308308308309309312311311309309311311310308307307308307307307307308307308308308307307307308307306308307307306307307308307307308307308308308308308308307307307307307309309310310309309307309309308308308306307306309308308309310310310310310310308308307306307306306308307307307305305306305307306305305305305305304305305304303304303304303303303303302304303303302303304304304305306305305306304304304304303303303303304304304305304303305304304304304304303303303304303303303303303303303303304304304304302302302302301301301301301301301302302303302302304304303302302302302304303302300301301299297299299301301302299300299300299299299299300299298299298300299299300300299299300301301300300301300301302302302301301301302301301301300300300300300300300301301300300300300300301300300300300300300300301301301301301301302302302302302302302303302302302302302302303303303304304304304304305304304304304303303304304303304304305305304304304304304304304304304304304303303302302302302301301300299299299299299299299299299300299300299299300299299298297296296296296296295295297297297296297296295295295296296296296297296295295295294294295295296296295295294294294294294294294294294295295295295294294292292291291293292291291291290289290288290290289287287287287286287286287286286287287286286285286284284284285286286286285286286287286286286286285286286287286287287287288289290289290289289289289288288288288288288288287287287287287287287287287287287287287285286285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306309308305304302303305306306305305305305304305307303304302299299298299298297293292294300295999999999999999999999999999999999999999999999999999999280281281286288290292292292293294294295295294293293293294294294294294294295295295295294294294294294293293293293293293293293293293292293292293293294294294294294296295294295295295295294293293293292292291290291291291292291290290290290290289290290291291290290290290290290289290290290291291291293293293293293293293293292292291290291292292293292293999295296297298298299300300300300300300300300300301301302302303304304304303304304304303303303304303304303303303303304304304304304304305305305304305305306306306306307308308308309308308308308308308308308308308308308309309307309308308309308309309309309308308308308308308308309308308309309309310309309309309310309309309308307308307308310310310310306310309309308307306307307307308306307307307308307307307307307306309309307308307307307307307308308308308308307308308308308307308308308309310309308309309309310309310309309309308307309311310310311311311310309309309309307308309306307308307308307306306306306308306306305305306305305306304305304304305307305303303304303303304303303303303303304305304307306307306306303303304303304305307306304304304304305304304305304305305304301305304304303303302304303303304304303303304302303302303302303303304304302303301304304303303303301302300302302303303302303302301298298299300300299301299301299300296300300299300299299298297299300300301299299300298300301301301302300301302301302301301302302301301301300299299300300301300300300301300301301300300300300300300300300300301301301302301301302302302302302302302303303303303302303303303303303304304304304304304304303303304304304304304304303304305305305304304305304305305305304304303303303303302301301301301300299298300299299299299299300299298299300299299298298296296296296296295296294296298298297296296296296296297296296295296296296296296296295295295296296295295295296295296294295296295295295294295295295294294293295292293293292291290290290290289289290291290288288289289288287287287289287287288287286286286285286286285285285286286286286286286286286286286286287287287287287287289289289289289289289289288288288288288288288288288287287287287286286287287287287287287287287286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301308305304305307306306306306305305305304304303303302302299300298299297296295294294298295999999999999999999999999999999999999999999999999999999282282283287290291292293293294294295295294294294294294295294295294295295295295295295294294294294294294293294294293293292294294293293293294294293294294294294295294295295295295295294294294293294292292292291291291291292291291290291291290290290290290290290290289290290289289290291291291292292293293293292293293293293293293293291291291291293291292293296297298298298299300300300301300301300300301301302302302304304304304304304304304304304304303303303304303303303303304304304303304304304304305305305306305305305306307307308308308308308308308307307308307307308307308308308308308308308308308308308308308307308308308308307308309309309309309310310307308308309309308308308308307307309310309308308309308308308307307306307307307306306305307307306305307306305307306307307308308308308308308308309308308307308309308308306307308307307308310309309308308308309309309309309307306307308309309310310310310309310309309309307308308307308307307307307307306306306305307306305306305306305304305304305304304306305303304304304302303304304304304302304304305304304306304309307304303302303305306307305304305305304304305304305305305305305306304305305303303304304305303306304305304304304304304306305305304304302303306304304304304303304303303303303304304303303303302301299299301301300302300299300300299301299300300299299298299300301301301301299299300301301301302302302302301302302302301303302301302301301300299300301301301300300300301301301301300300300300300300300300300300301301302301301301302302302302303304304303303304304304303304304304304303304304304305304304303304304304303303304304305305305305305305305305304304305305304304304303302303302302301300300299299299299299299298298299299299299299299298299298297297297297296293295296298298298297296296296297297295296296295296295296296296295295295295296295296296296296295296297296297296295296295294295295295295294294293293293292292291290292291291288290292292291290290290289289288288288288288288289288288287287286285284285285285285285285286286286286286286287287288287287288287288290288289289288288288288289289288287287288288288288287287287287287287287287287285287287287286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304308307309308307306304304305304303302303301300299300299299299298298298296295294296295999999999999999999999999999999999999999999999999999282282283285289291292293294293294295295295295294294294295295294295295295295295295295295294295295295295294294293293293294294294293293293293294294294294294294294295294294295295295295294294294294294292293292291291291292291291291291291291290290290290290290290289290290290290289290291292291293292292292292292293294294294293293293293293293294293292292295297297299299299299300299300301301300301301302302302302303304304304305305305304304303303304304303303303303303304304303304304304304304304304304305304305305306305306307307307308307309308308308308307307307308308307307308308308308307308306308308308308307307307308308308309309309308309309309310310309308307308307307307306307307307307309308309309308309309307307308307307307306305307306305307307306306306307306307308307308309309308309309309309308308307308309309308308308308307307308308309309308308308309309309309308308308307308308310310311311310309310310307309309309309308307305308306307307307306306305307307306305307305305305305306305305305305306304303303302304304304304304305304305306305306305306306305305304303304304305306307306305304304304305304305305305306306305305305305305304303304304304304303304305305305305305305304306304305303304305304304303304304305304304304303301301303301302302302299300301301301300300302301300300300300299300300300299300300301301301301300301301301302301302302301302303302302303302302302302301302301300300300300301300300301300301301301301301301300300301300301300300300301301301301301302302302303303303304304304304304304304304304304304304304303305304304305305305304304304304304303304303304305305305305304304305304305305305305304304303303303302302301300300300299300300300300300299299299299299300300300299299297298297296297295297297298298298296295296296294296294295296296295296296295295296296296295295295295296296296296295295295295297295295295295295295295296295295296293292292292290291291291290290291292293292292292291290290290289291290289289289288288286286284284284285285285285285285286287285285287288287287287288289289289288288288288288289288288288288288288288288288288288288288288287288287288287287287286287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307308309307309308304304304305304302303302300299299299300299299299298298297295291294295999999999999999999999999999999999999999999999285285283283286287290292292293294294295295295295294294293294294294295295295295295295295295295294295295294294293294293292293293293294294293293293294294294295294294294294294294294295295294294294293294294293293292291291292291291292291292291291291291291291290290290290289291290290290291291292291291292291291292292293294294294294294294294294295295295294295296298297299298300300300300301301302302302302302302302302303303304304305304305305305304304304304303304304303303304303303303303304303303304304304305304305305306306306307307308309308309308308307307307307307307308307308308308308308307308307308308306308308307308308308308308309309309309308308309309309309309308309308307308307307307309309308309310308309309308307307307306307306306305305304306304305306306307307308307308308309308308309309309308308308309309310309309309308308308308308308309309308308308309309309309309308307308309307309310310309309309310309310310308309308306306305304306307306307307307308306307307305303305304303304304305304303306306305304303302303305304306304305306306304303304307308307306304304302304304305306305305305305304304305304304305305306306305305305305305305304305305304304305304305305306305305305304305305305305305305304306303306306306305305301305304302301301302302301300300301301300303303302301301301300300299300299301300301302301301302302301301301301302301302302300302304303303304303303303302302301301300300301301301301301301301301301301301301301300301301300300301301301301302302301302302302303303304305305305305305305304305305304304304304304305305305305305305305304304304304304304304303304305305305305304304305305304306305306304303303303303302302302300300300300300300300300299299300300299299299299299299299297295295296296296298298298298297296295294295295295294295296294295296295294295295296295296296295295296297296295296296294295295295295294295296296296296297296296294294292292292292291292291291292292293293293293292292291291291289291291290290289289287286285285284285286286285285286287287287287288287288287289289290290290289289289289291290288287288288288288288288289288287289288287287287287287287287287287286288287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306308307307307307303304305303304302301302302300300300299299300299299299297296292290293999999999999999999999999999999999999999999283284285286288288290291293292294295295295295295295294294294294294295294295295295295295294295295295295294294293293293293293293293293293293294293294294294294295294294294294294294294294295295294294293294293293293292291291292291291292292292292291291291290290290290290290290290290291292291292292291291291293293291293294293293999999999999295294295296297296296297299298298299300301301302302301303303303304304303303303304304303305305305305305305304304305305304304304304303304303303303303303303303303303303304304304305306306306307307308308308308308308307307307307307305306306308308308308308308308309308308307307308308308308308308308307308308309308309309308308308308308308308308308308309309309309310309310309309308308307307306306306307305305305305304305305305307306307308308307307309309310308308309309310309310309309309308308309309309308308308309308308308308309309309308309308307308308308309309309308309309310310308308309308307306306306307307307306307307306306307307306306304305304304303305305304305303304303305304303305303306305304305306307306306306305306306308305305305305305305305306306305306305305305304304305305306306305305306305305306306306306306305306305306306306306305306306305305306306306305305306307307306306306305305303303302302301303301302301302301303302303303301302301301300301300301301302301301302302302302301301301301301301301302302301302303303303304303303303302301301301301301301302302302301301301301301302302301301301301300301301301301301302302302301302302303303304305304305305306305304305305305305305304304305305304304304305305305305304304304304303303304305305306305304304304304304304304304304304303303304303302301302300301300300300300301300300300300300300299300300298298298297296295298296297298297299297297295296295295296295295295294296295296296295296296296295296296296297296295295293295293295295294295295296295296298296297297297296295294294294292292293292292292293293294294295294293293293293292292291292292291290290288289287286286286287287286287287288288288288288286287288288288289290289289288288289291289289290287287288287287288288288286287288287287288288287287287287288288286287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306307307308304304306304303304304305303302303301299300300299299298297297296294291290298999999999999999999999999999999999999282284285287289289290291292293293295295296295295295295295295294294295295295296296295295295295295295295294294293293293293293293293293293292293294293294294294294295294295294293294294294294294294294294294293293292292292291291292292292293292292291291290290290290290290290290291291291292290291291292293292293291293292294296999999999999999999999999297297299298297299301999297300301301301302302303304303303304303304302303303304303304305305305305305305305305305305304304303303303303303303303303303303303303304304304305305305306306306307308308308308308307306307307307306306307306307308307308308308309309309308308308308308308308307308308308307308309306307308308309308308308308308308307308309309309309310309310308308307308307308307306306306305306306306306306305306307307308308306308308308308309309308308308308309310310309308310309309309309309308308308308308307308309309308309308308308309309309309309309310309310309309308308308307306307307307307307308307306307306306305306306304306306304305305305305304304305304305305306306304305304305306306307307306306306306306306306305306304305305305305305307306306306306305305304305306305306305306306308305306307307306306305306306307307306305306308307306306306307307306306306305306305306305305304304304304302302303303304302302302302302302303303302301301301302301301302302302302303302302302302301302302302302302303302302303303303303304304303304303302301302302301302302302301301302302302302301301301301300300301301301301302302302301301302302303303304304305305305305305304305305305305305305305305305304304304304305304304304304304304304304304304304305305304305304304305306305304303304304303303304303302302302301301300300300301301300300300300300301301301300299298298298298297299299298299298298296296296297294295296294297295297296296296296295295294295297296297298295296296296296296294295295295295297297297297297298298297296295295294294294293293293293294294294294295294294294294293293294292293292291291291292290290290289288287287288287286287288288287287287288288288290290289289289288289288288288289289288289287288289288287287287286287287287288286287287288288287287289287287287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305306305303305305302303303303302301302303301301301301299298297297296297295293292293296294999999999999999999286284285284286288289291291292292293293293295295295295295295295295295295294294295295296295296295296296295295294294294293292292292293292293293292293294294294294294294294294294294295294294294295295294294294294294293292294292292291293293293293292292292292291291290290291291291291291292292292293293293292292292293294293293293296296999999999999999999999999999999294294296297298999999300301299301301302303303303303304303303304304303304303304305305305305305305305305305305304305304303303303303303303303303303303303303304304305305305305306306307308308308308308307307307307307307306306306307307307306307309309309309309308309308308309308307307307308306307307307307307307308308307307307307308308308308308308309309309308308307307307307308307306307306307306306307307306306307307308307306307308308308308308308308310310309308309309309309309310310309309308308308308309309309309308309308309309309308309309308310310307309309310308308306307308308306306307308307308307307306307308308306306306304305307305305304305304305305305304305304306304304304305306305306307305306306307306305307306305305305304303303304304307306306306306305306305305306305306305307306306306307307307307307306305305305306307307307307307307306307307307307308306306305306305304305305304305302303304304304304303303303303303302302301301302300302302301302303302300301302302302303302302302302302302302303301303303303304304304304303303303303302302302302302302302301302302302302302301301301301300301301302302301301302302302302302302303303305304305305305305305305305305305305305304304303304304304304304304304304304303303304304305304305304304304304304304305305305305305305304304304304304304303303302302301300301301302302301301301300300301302301300300299297299300299300299299298299299297296295297297296296297296296297297297296294294295295296297297297296297296296296295295296295295296295297297297297298298298297296295296296296294295292294293293294293293293293294295294294294293293293292291289292292291290289289289288288289289288287288288287288288290289290290289289289289289288288288289288289288288288289288288289288289288288288287286287288286288288288288288288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301303306306305304303303302302301301302301301300301300299298296296297297296295292293293293294290290999999284284288289290291291292292293294294293294295295295296295295295295295295294295295295296295295295295295295295294294294294293292292292292293292292292292293293294295294294294294294294294294294294294294294294294294293294293292292291292293292293292292292292292292291291291291292292292293293293293293293295293294294293293293296298299999999999999999999999999999999999999999999999999999299300301301301301303303304304305305305304305303304303305304305305305305305305305305305305305304303303303303303303303303303302303303304305304305305305306306307308308308308308307307307307307307306306306306306306306307307308308308308308308308308308308307307306307307307306307306307307306307307307307308308307306308309308308308309309308308308308308307306306306306307307308307307307308309308308308308308307307308308308308309309309308308309310310310310310310309309308308308309308309309309309308309310310310308309309310310311309309308311307307306307308307307309306306306306307308305304307306306306306305305305306308305305305305304306305305306305303304304306305306305304307307307307308308309307305305304304304303305305306306306306306306305305305305306306307307307306307306305306306305306306306305305306306306307308308307307307308308307307306305306306305306306305304304304303304304304303304302302305304301302303303303303303302302303303301303303302302303303303302302302302302301303303303304304304304303303304303302303303303303302302302301301302302302302302301302301301301301301301302302302303302302302304304304306305306304305305305305305305305305304304304304304304304304303304304304304304304305304304304305305304303305305303305306305306305305306305304304304305304303303302302301301301301301301300300301301301301300300300299297298298299299298298298297296296297295296295296296295296296297298297297296296296298297297297297296297297296295295295295295295295296296298297297297297298296295295296295295297293294294294293293295295294295294295294294293294293292293292292292293290289290291289290289288288289288289289289288290290290291290290289288289290288290290289289289288288287288287288288289289289289287288288287287287288288288288288288287287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302305306303302302303301303300302302302300301299299297297296298297296297297297296296293292292291291290291292292293292292293294294294294294294295296296296296296296296295295294295295295295295295295295295295295294294293292292292292292291292291291291292292293293293293294294294294294294294293293293294294294294293293293292291291291292292293292292292292292292292292292292293294293293293293293293295294296294294294294294294297300999999999999999999999999999999999999999999999999999297298299301302301302303303304304303304305305304304304305305305305306305305305305306304304305304305304303303303303303303303302303303303304303304305306306306306307308309308308308308308307307307306306307305306306306306307307308308308308308308308308308307307307306306306306306305307307306306307306306306307307307307308308307307309309309308308308308308307307307307307307307307307307309309308309308308308307307307308308308309309309309310309310310310309310309309308307310309309309309309309309309308309309310310309308309309310309309308309309307307308307307307307306306305305307307306306306307304305305306306305307307306305306306307306306306306306304306305306307305303303306305306306307308307308307306306305305305304304305306306306306306306306307306306306306307308307306306306305308308308306307306307306306307306308308308308308307307307308307306307306306305307305305304304304305304305305303302301304304304303303304304304304304303303303302303304303303302304303304303303303303303303303304304304304304304304303304303303304303303303302302302302302302302302301302301301301301301301302301301302303303303303303304305305305305306305305305305305305305304304304304304304304304304304303304303303304303304304304304304305305303304304303303304306306306305305305305304305304304303303302302302301301301301301300301301301300300301300300301299299298298299299299299299299298296297297297298297298297297298297297298297297297297299298297296297297297297296295294295296297296295296296297297298297298299296296296296295297296295296293292294295294294294294294295295294293294293292292291292292291290290289290289289289289289288287287289289289290290290290290290289288288288289289289288289289289289288289290288289290290290289288288288287287286287287288288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300303302302303301300304302302302302302302301299298298297297296296297298297298297296296294294293293293293294294294294295295295294294295296295295296296296296296296295295295295295295295295295295295295294294294292293292292292292292291290290290291291292293293293293294294294294294294294294294294294294294294293293292291291291291291291292292293293292291292291292292293293294294293292293293293295296297295295295295295297299302999999999999999999999999999999999999999999999999999298299300300302302302302304304304303305305304304305304304305304305306305305305305305305305305305305304303303303302302303303303303303303304304305305304305307307307308309308308308308307307307306306305306307306306306306306306307307308308307308307308307307307307306307306305306305306306306305305306306306307307307306307307307308308308309309308309308308308308308308308308308306308307308308309308308308308305308308306308309311310311311311310308309310310308310309309309309308309309309309309308309310309308309309309309309310309308308310309308308307309307306307307307307306307308307307306308305306307307306306305306306306307307307306307307308306306308306306306307306306307307306307307308307307306306307306306306304306306306306305306307307307307307307307307308308308308307307307308308307308308308309307308308308308308307308309308309309308308306307308307307307307305305305303305304304303303303302303303304304304303303304304305304305305304304303303304303303304304305304303303303303303303304304304304303303303303303303304304303303303303302302302302302302301302302302301301301302301301301302303302303303303304304305306306305305305305305305305304305304304304303303304304303304304304304303303303303303303304304304305304304304304304303305305305304304304304304304304304303302302302301301301301302302301302302303301301301300301301300299300299299299299299298299299297298299299298298298297298298297298297298298298297298298297296297296297296297296296296296296296295296295296298298298298298297296296295296296296297295294294292294293294293293293294294294294294294292293292291291291290289289289289289287287288288287287287288289289290289289289289290290288290288289288289288289288288289288287289290290290291290289289289289288288287288288287287288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298300298300301300300303304302304301301301301299300300298299297298298298298295293295294295293293293295294294294294295295295295294295295295295295296296296296296296295295295294295296296295295295295295294294294293293292291292291291291290290290291291292293293293293294294295294294294294293294294293293294294293292292291291291291291292292292293293293292293293293294294294294294294293294296295295297298297297297298297298301303999999999999999999999999999999999999999999999999999298298299301302302302303304304305305305305305305304304304304304304304305305305305305304305305304304303304303303303303303303303303303303303304304304305305306306306307308308308308308308307307306306305306306306306305306307306307307307307307308308307308307306307306306306304305305305306305305305305305305306306306306307306306306307308308309309308308309309308309308308308308307308307308309309309308308309308308308308308309310311311312311310310309309309309308309310310310310310310310309309309310309309310309308308308309309309308308310310309307307307307307307306306307307307308308308306305306306308307305305305305305306306307307306307307307306307308309308307309307308308308307307307309309308307307306306307306306307307307306305306307307307308307307308308309309308308306308308307308307307307308308308308308308307308308310309309309310309308307308306308307307308306305303304304305304304303304304304304304304304303304304306305306305305305304304304303303304304303304304303304303303304304304304305304303303303303303304304303303304303303303302302302302302302302302302302302302302301301302302303303303303304305305305304305305305305304305305305304304304304304303303303303303303303303303303303303304303304304304304304305304304306303304305306304304304305305304304305304304303303303303301301301301302303303303304302301302301301300299299298299299298299300299300299297299299298298299297295296297295296299300298300299298297298297297298298297297295295296296296296294296297297297297298298297297296296296296297295297296294294292292293294293293293293294294294292292292293291291292291291290290290289289288288287287287288289289290289289289289289290290289289290289290289289289288288288288287289290289289290290289289289288289287287287287288288288288288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296298299301301301301302300301302302300300300300300300299299298298297298297294296295295294293293294294295295296295295295296295295295295296296296296296296296296296295294294294295295295295295295294294294294293293292293292291291291291291290290290291292292292292293293293294294294294293293293293293293293293292292291291291291292292292292293293293293293293294294295295295296295295295297297297297297298298298298298298299295999999999999999999999999999999999999999999999999999999299298300300302302303303304305305304305305305305304304304304304304304304305305305305304304304304304304304304304303303303303304303304303304304304304304305306306307307308309308308307307307307306306305306306305306306307307307306307307307307308308307307306306305304304305305305305305304305305305306306306306305305306306306306306307308308308308307308307308308308308308309308309308309308308308308308309308308307308309309309310310311310310310309310310309309309309310310310310310309310309310310309309310310309308308309309309309309310308308307306307307306308307306305305307307307308308307305306304304306306305305306306306307308307308307308307307309308309309308308308308307308309309308309309308307307307306306306306307307307306307307306308307307308307308308309309309308306307307308308307308308307308308309310309308308309309308309309309306307308307307308307307307306306304303304303304305304304304304304305304304304305304305305306304305306306305305304305305304303303303304304304304304304304304304304304304303303304304304304304304303302303303302302302302302302303302302302302301301302302303303303303304305305305305305305305305304304305305304304304304304304303303303303303303303303304303303303304303304304304304304305305304305304304305305305305304305304304304304303302302302302301301302301301302303302301302302302302301300300299298298299299300300300300297297298299298297298296297297298297299298297299298301299299299298298298298298297297296296295296296296296296297296297298297298297296296296296296297297296294294293293294294295295295293294293294293292293292293291291291291291291290290288288289288288288288288287289289289289289290290290290290289289290290289289289289289288288288289290290290289289289289289289289289288288288288288288288288288288288288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296299300301302301301301299301301302300301301301301300300300299299298298296295296297296295295294294294295296295296296296296296296296296296296296296296296296296295295294294294294295294295295294294294294293293293293292292292292291292291291291291291292292292292293292292294294293294293293293293293292293293293293292291291291291292292293293293292292292293293294295295296296296296295295296298298297298298298299299298298301299999999999999999999999999999999999999999999999999999299300299300300301302303304305305306305304305305305305305305305305305306305305305305304304304305303303304304304303303303303304305303303303304304304305305305306306307307308308308308307307307307306306306306306306306306307306306307307307307307308307307307306305305304305304304304305304304306306306306306306305305305304306305306306307308308308307308308308308308308308308309308309308309309308308309309309309308307307308309308309309309309309309309310309309310310310310310310309309310310309310310310310309310309310310310309309309310309309308307308308306307307307306306306307307307308307307305307307307308307306306307307307307308308308308309309308308309309309309310309308307309309308309310309308307307307307305307307308306307307307307308308307307308308308309309310310309309308308309308309309309309310310310310309308309309308309309310308309310309309307308308308307307306305305305304303305305305304305303304304305305306305305306305304306306306306305305305304304304304304304304304303303305304304304304304303303304304304304303304304303302302302302302302302302302303302302302301301301302302303303303304304305305305306305305305305305304305304304304304304304304303303303303303303303303304304304304304304304304303304304304304304304304303303304305305304304304303303303302302300300301301301301302301302301301301301301301301300299300299299299300299298299300298298299299299298298298297298297298299298300298297300300300299299299299299299299297297297296296296296296297297297297298297297297297296296295296295295297295294294293293295294295294294293294294293293293292292292291291291291291291290289289287288289288289290289289289289289289289290291290290289290289290289290290291289290289289290288289289290289289288288288288288288288288288288288288288288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301302302301301302299299300302301302302300301300301300299298298299298299298298297296296296296295296296297296296296296297297297296296296296297296296296295296295294294294294294294295294294294293293293293293293292292292291291292291291291290291291291292292292293293293293293293293292293293292292292292292292291291291291292292293293293292292291292294294294295295297297296296295296295296298298299299300300299299298300300999999999999999999999999999999999999999999999999999300298298299299302302302304305305305305305305305305305304305304306306306305304305304304304304304304303304304304304304304304304304304304305305305305305306306306306307307308308308308308308307307306306306307307306307307307307307307307307307307307307306306305305304304303305304305305304305304305305306305305304304304306306306306307307308308308308308307307308307307308309309309308308309308309308309308309309308308307308308307309308308308308309310309310310310310309309311310310310310310309310309310310309308310310310310309309308308309310310309309307308308307308309308308308308307307308307307307307306308307307307307306306306308308309309308308309308308308309309309310310308308308309308308307308308307307307307308307307307307308308308308308306307307307308308310310310310310308309309310308308309309310310308308308309309308309309309309307310310310309308306307307307307307306305305303305306305304305304305305305305305305306305305306306306306307307306305305305305304304305304304304303304305304304303304304303303303304303304304304303303303302302303303302302302302303302302302301302302302302303303303304304304305305305305305304304304304304304304303304303303303303303303303303302303304304304303304304304304303304304304304304304304304304305304304303303302302302302302302302300301301301301300301301301299301302302301301300300299299299299299300300299299299299298299300298299298298298299298298298298300300300301301302300299298299299299298298297297296297297296296295296298298297297297297297296295296295295295294296296296295293294294295294296294292294293292293293293292291291290291291290289289289289289289289289289288288289289289289290290290290289289290290290290289289290290290290291291289290291290289288288288288288288288288288288286287288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301299297300300300300301301301302302301301301301300299299299300300300299298298297296297296297296297297296297297297297297296297296296296296295295295295295294294294294294295294294294294293293293293293293293292292291290291291291290290290291291292292293292292292293293292292293293293293293293292292291291291291292292292293293293293293292292293293294294296296297297296296296297297296299299299300300300299299299302303999999999999999999999999999999999999999999999999999999298297298299301302303304305304305305305305305305305305304306306305304305304304304304304305304304304304304304304304304304305305304304305305305305305306306306307307306307308307308308307307307307307307307307307307307307307308307308307306307308307306306305305305304304303304305304303304304305305305305305305306305305305307306307307308308308308308308307306308308307308308308307307308308308308309308308308308306307307308308309309309309307309309310310310310309309311310310310309309311309309308309310309310309310310310309309309308309309309310308308308308309309309309308308308309309308306308308307307308308308309309307307307308308310309309308309309308308309308309310311310309307309308308307308307307308308307307308308309309309308308309308306307308308308309309309311311310310309309309308308309310310310308308309308309309308309309309309309311309308308307307308308306305305306305305305305304305305305305306306306306306307306306306307307307307308307305306304305305305305305304304304304304304304304304303303303303304303303303303303303302302302302303303303303303302302302302302302301302302303303303303304304304305305304304304304304303303303303303304303304303303303303303303303304304304303303303303303303303304303304303304304305303303304303304303303302302302303302302302301301301301301302301301301301302302302301301301299299300299299299299298299299300298299299299299298298299298299298298298299299299300301301301301298299298298299298299298298297296297296297297296296297297296296297296295295296296296295295296297296293294295295295295294293293292293292291292293291291291291290290289289289289289289289289290289288288289290290290289290290290289290289289291290290290290289290289290290290291290290288289289288288289288289288289288288287287288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298299299299300300302303303301302302302301301301300299299300302301301300300300300299298298297297298297297297297297297297296297296295295295295294295295294294293294294294294294294294294293293293293292292292292292291291290290291290290290291291292291292291292291291292292292293292293293292292293292292291291291292293293293293293294293294295296297295294295296297298298297298298298296298299300300300301298299300301303999999999999999999999999999999999999999999999999999999296298298299301302303304304304304305305305305304305306305306306304304304305304304304304304304304304303303304304304304304305305305305305305306305306306307306307307307307308308308308307307307307308307307307307307307307307307307308306306307308307306306306305305305304305304305304305305305305305305305305305306305305306306307307307308308308308308307308308308307307308308308308308308308308308307308308307308307306308308308308308309309309308310311310310311310310310310310310310310311310309308309309309310309309310309309308308307309309308309309309309309309309309310309309309308308307308306308307307308308308308309308308308309310310310309308308309308308308307308310311311309308308308307308309309308307309308308308309309309309308309309308308308308309310310310309311310309309309309309309309310310310310310309309309309309310308310309309310309308307308307306307307306305307306305306305304305305306306306306307307307306307306306308307307307307306306306306305306306305305304304304304304304304305304304303303303304304303303303303303303302303302302302303303303302302302302301301302302302302303302303303303304304304304304304304304303303303303303303303303303303302303303303303304304304304303303303303303303304304304304304304303304303304303304303303302302303303303302302302301301301301301301301301301301302302302301301301300300299300299298299299299301300299299300300299299299299298298298298299298298299300300301301301299298299298298299299298297297297297297297296296297297297297296295296295295297295296296296295296296295295295295294293293292292292293292291292292292291291290290290290289289289291290290289290289289289288289289289290290290290291290290290290290289290291290290290290290290290289289289290289289289289289289288288288287288288288288288288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301300300300301304304302302301302301301302301300300300302304304302302302302301301300299298299298298298297297297297297296296295295295294295295295295294294294294294294294295295294294293293293293293293292292292291291290290292290290290291291291291292292291292293292292292292291292293292291292292291291291291292292293293293293294294294296294295295295295296295298298298299299297298299299300299300299300298297301300300999999999999999999999999999999999999999999999999999999297297299302303304304304304305305305305305305306306305305306305305305305304304305304304303304304304303304304304304304305305305305305305306306306307307307307307308308308308308308306307307307307307307307307307307307307307307306306305305306307306306305305304305304304304305305304305305306306306304305305305305305306307305307307307309309308308308307308308308307307308309308309308307308308308308308307308308307307308308308309307309308309308310311311310310310310310310311311310309310311310310311310309309310309309309308308308308307308309310310309310310310310310310310309309308308308308308308307308309309308308308309308309309310308310309308309309308307308309310310308309309307308308308310309309309308309310309310309309309308308309309309308309309310310310310311310311311310309310309310310310310310309309309309309309310309311310310310309307308308306305307306305306306306306306305305305307307307307308308309309308308306305306306306307307307306307306304305304305305305305304304304305304304304304304303304304304303303303304303303302302302303303303303302302303302302301301302302302303303303303303304304304304304304304304303303303303303303303303303303302302303303303304304304304303303303303303303303304304304304304303303303303303303304303302302302302303302302301302301301301300301302301302302301302301301301300300300300300300300300299299300301300300300300300300300300299299299298299299298298299300301301301302302299299298298298298298298297297297296296296297296297297296296296296294296297296296295296295296295294294293292292290293292291291293292292291292292291290289288289289289288289290290290289289288288289288289289289290289290290291290290290289289289289290290290290290290290289290290289289290289289289289289288288288288289288289289289288288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299301298300301303305304303303303302303303303301301302304305305304303302301302301301301301300300299298297298298297297296296296295295295295295294294294294294294294294294295294294294293293294293293293292292292292291291291291291291291291291292292292291292292293291291292292292293293292292292292293292292293293293293293293293294294294295295294296295294295297296298298299298300300299299300300299297299297298301300999999999999999999999999999999999999999999999999999999999999295298302302303304304304304304304305305304305305305305305305305305305305303304303304304303304304304304304304304304304305305306306307307306307307307307308308308307308307307308307308307307307307307308307307306306306307307306306306306305306306306305304305305305304305305305306305306306306305305305306305306305307306306308308308308309309308308308308308308309309308308308308308308308309308308307307307307308308307309308309309309307311310309312311310310310311311311311311309309310311311311311310310311311310309308309309308308308309309309309308309310310310310311311310311311309308308309309308307307309307307309309309309309308308308308307308308308307307309310307308308309309309309309310310310311308310311311310310310308310309309309308309310310311310310312312312310311309311311311310310310310311309309309310309308309310310308309309308307307306305305306306306307307306307307306307307307307307308308308309310308308306307306307307307308308308308307305305305305305304304304304305304303304304303303303304304304303303303303303303303302302303303303303303302302301301301302302302302303303303303303303304304304304304304303303303303303303303303302302303302303303303303303304303303303303303302303303303303303303303302302301302301302302302302302302302302302302301301301301301300300301300301301301301301301301301301301301300301300300300300300300300301300300300301301301301301301300301300299299299299300300300301301301300299299299300299298297297297296296296296297297296296296296296295295297297296296295295295296295295294292291292293292292292292291291291291291291290290290290290289290289290289288288289288289288288289289290289290291290290290290290292290290290290290290290290290290289289290290290290289289289289289288288288288288288288289288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296299303304305304302303303304302305303302303305305305305304302302300302301301301301300300299298299298297296296296296296296295295295294294294294294293293293294294294293293293293293293292292292292292291291292291292292292291291291291290291292291291292291292292292293291291292291292291292292292292293293293293294293293294295295295293292295294296297298302300299300300299300299299300298297297297298299301999999999999999999999999999999999999999999999999999999999999295299302302303304303304304304304305304304304305305305304304305304305305304304304303304303304304303304304304304304304305305306306306307307307307307308307306307307307306306307306307307306307306306307307306306306306306305306306306306305306306305305304304304305306305307307306306306306306305305306306307306307306307307307308307308309309308308308308307308309309309308306308308308309308308308308308306308308308307308309310310310309310310310311310310310310311311310311311311311311311310311311311311311311311310310310308309308308308309309308309310308310310310311311311311311311310310309309308309307308308307309309309309308308309308308309308308308307308308308309308308309310310311311312311311311311312312312311311311311310309310311311310310312311311311312313312312311310309311311311312311310310309310310310308308308310310309310308308307308307306305306306307307307308307308307307307308308308308309309309310308308307307307307307307308307308307306305305305305304304304303304304304304303303302304304304304303303303303303303303302302302302302303303302302302301302302302302302302302303303303303303304304304304303303303303303303303302302302302302303303303303303303304303303303303303303303303302303302302302301302302302302302301301302302302302302302302302301300300300300301301301300300301300300301300300300301302301301301301301301300301301301301300300300301301301300301301300300300299299300299300300300300299301300299299299300299298297297296296296296296297297297296296297295295296297296295296296295295294294294294291292293292291292293292290292292292292292291290289289288289289290290289289289288287288288288288289290290289290290290290290290290290290289290290290289290290289289289289290289289289289289289288288288288288288288288287288287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294298302303305305304304303303301303303304304305306305304303303301301301302302301300300300298297297297297296296296296296295295295295295294294293293293293293293294294293293292293293293293293292292292292291292292292292292291291291291292292293292292292292293293293292291291291291292292292292292293293293292293293293293293293294294293293294296297298301300300297300299298301299299297297298298296297297299999999999999999999999999999999999999999999999999999999999999999301303303303304303304304304304304304304304305305304305305305305306305304304304304304303303303303303303303303304305305305306306306306306306306306307306306306306307306306307306306306306306306306307307307306307306306305305306306306305306305305305305304305306306306305307307306307307307305307307307307307307307307307308308307309309308307308308307307308309308309307307307308309309308308308309307308308308308308308308308310310310309309310310310310310310311310310312311311311312312311311311312311311311311311311311310310309309309309309308309310308310311311311311312311311311311311309309309309309308308309310309309308307307308309310309308308308308309309309309309310311311311310312313312311312314312311311311311310311311309310311312311311312312311314314313313311312310310312310311310311311311311309310310309310308309310309308308308309306307305306307307307308308308307308308307307308308308308309308309309309308308307308307307307308307307306306305305306305304305304304304304304303303303303304304304304303303303303303303302303302302302302303302302301302302302302302303302303303303303303303303304304303303303303303303303303302302302302302302302303302303303303303303303303303303303303302302302302302301302302302302301301301302302301302301302302301302301300300300301300301300299299299299299300300301301301301301302302302301302301300301301301300301301302301301300301301301300300299300300300300300301301302302301299299299299299299298297297296297297297297297298296297296296296294296296294296295295295294295293292292292292292292292291291291292291291291290290290289289289289289290290289288289288288288288288288289289290291290290290290290291290289289290290290290290289289289289290289289290289289290289289288288288288288288288288287287287287288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293298303303306307305304304304304303303304305305306305303303303302302302301302301301301300298297297297297297297296296295295294295295294293293293293293294294293293293293293292292292292292292293292292292291291292291292292291291291292291292293293293293292293292291291291291291292291292292292293293294294295294294293294293293295294293294296296298298301300301299298300300301298298297298297298297297298298999999999999999999999999999999999999999999999999999999999999299300303304304304304304304304304305304304304304304305304305305306305304304304304304304303303303303303303303303304304304305305305306306305306306306307306306306306306306306306306306305305305306306306307307306306307306305306306306305306306306305305305305306306306307305307307307308308306307307307307308306308307306307308309308307307308307308307307308309309308308307308308309308309308308308308307308308309307308308308309310310309310309310310310310310310310310310311312312312312312312311311311312311311311311311311310310310310309309309310310309311312311310311311311311312312312311311310310310310310309310308307308308307309309309310309309310309310310310308309309310312312311311312313312314313313312312311311311311312311311312311313311312310313314313313313311312311312310310311310311312311311309310309309308308306309309308308307308308308305306307308308307308307308308308308307307307308308309310309310309309309309307307307307307307307307306305305305305305304305304303304303303303303303304303303303303303303303303303303303303303302302302303302302302302302302302302302302303303303303303303303303303303303303303303303303302302302302302302302302302303303303303303303303303303302302303302302302302302302302302302301302301301301302302302302302301301301301301300301301301301300299300300300301300301301301301301301301302302301301300300300300301300300301302301301301301300301301300300299299300298300301301301301300300299299299298298298297297296296297297297297297297296296296295296294295294294296295295294294293292292292292291292291290290290291291290290291291290290291290289289290289288289288288288288288288288289289290290290289289289289290290290290289290290290290289289289289289289289289289290290289289289288288288288288288287288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296303306305308307306305303303304304305305305304304303304304303303302301301301301301300299299298300298297297295294294294294294294293293292292293292292292291292293292292292292292292292292292292292292292292291292291292291292292292293293293293292292292292292292292292291291291291292292292293293294295294294294293293293294293294295296296298297298298300299300302301299299298299299298297297297296298299999999999999999999999999999999999999999999999999999999999999300301303305305304303304304304304305304304305303304304305305306306305304304304304304304304304304303304303304304304304304304305305305305305306306306307307307307306306306306306305306306306306305305305305306306306306303305305305305304305306305306305305306306307307307308307307307306306307306307307308307307308308307307307309309309308308308306306306307307308308307307307308309309309308308308308308308308308309309309309309309311309309309309310310310310309310310310311312312312312313312312312312312312311311312311311312312311311310311309311311310310311311310312311311309310312312312311310310310310310309309307309308307307308309309310312312310310311310311310309310310312312312313311313311312313313311311312310310311312311311311313312311312311311313312312313312311310310310310310311311312310310309309309309307308307309309308308308308308306306306307307307307308308308308308308307308308308309309310311310310310310309308307307307307307306306306306305305305305305304304304304303303303303303304303303303304303303303303303303303303303302302302302302302302303303303303303303303303303303303303303304304303303303303303302302302302302302302303302302302302303303303303303303303303303303303303303302302302302302302302302302301302301302303302302301302301300301301300300300300300300300300300301301301301300301301301302301301301301301300300301301301301300300301302302302301300301300301300300300300300300301301301301302300300300299299299298298298297297297297298297297297296295296295296294294294294295295295294294293292293292292291291290290291291291290290290291291290290290289291290289289289289288287286287287288288289288289289290290289290290290290289290290290290290290291290290289289289289290290289290290290289288289289289288288288289288288287287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999308308304307307305306305305305305304304305305305304304304303302301301302302300300299299299300297296295296295294294293293292292291292291292292291292292292292292292292291292292292292292291292292292292292292292292291292293293293293294293293292293293293293293292292292291291292294293293293294293294294293293294292294294296295297297297298298299299299299302301300299299300300299297298296296295999999999999999999999999999999999999999999999999999999999999999300302304305305304303303303304303304304304305304304305305305305305304304305304304305305304304304303303304304305304304304304305305305305306306307307307307307307307307307306307307307307306306306304304306307306305305306305305304304305304305307307306306307307307307307308307307307308307307307307308309309308308308308308308309309309309308308308307308307309307307307308308309309309309309309309309308309309309309310308309309310310310308309309310310310310311310310310311312311312312313312312312312313312312312312312312313312312313313312311312312312312312311311312311310311312312313310312311311311311310310310309308309308308308309309312311311311310312312312310312311311312313313314313313312313311311311313311310311312312312312312314314314312311313313310310312314311313310311311311311310312310310310309309309308309308308308308308308308308306306306307308309309308309309309309308309309308309310309310311311311311312310309308308307308307307306306306305305305305305305304304303303303303303303303303303303303302303302303303302303303303303303302302302302303303303303303303303302302302303302302303303303303303302302302302302302302302302302302303302302303303303303303303303303303302303303302302302302302302302302302301301301302302302302302301301301301300300300300300300300300300301301300300301301301301300301302302302302302301301301301301301302301301300301302302301301301301301300301300299299300300300301301301300300300300300299298298298298297297297298298297297297296296297296296295294294294293293294295296294293292291291290290292290290290290290290290290291291290291290291291290289288288288288287287288288287289289288290289290290290290290290290290290290290290290291290289290289289289289289289289290290289289289289289288288289288288288288288287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304307308308306307307305306305305304304304304304305304303302302302302301299300299301300300298296296296295295294294293292292292292292292291292292292292292292292292291291291291291291291291292291292292292292292292292292292293293292292292293293293294293293292292292292293293293294293293294294294294294294294295294295296297297296298297295300301299300299300299300300300299299298298297297297999999999999999999999999999999999999999999999999999999999999300301303304305304304303303303303304304305304304304304305305305305304304305305305305305304304304304304304304304304305304304304305304304305305306307307307306306306307307307306306306306306306306306304304303305305305307305305305305305305306306306306306306305306306307307307307308308308307307307308308309308308309308308308309308308308308307308308307308309308307306308309308309309309309308309309309308308309310309310308309309309309310308309309310310310310310310311311312312312312311312311312312312312312312311311311313312312312313313311311312312311312312313312311312312312311313314312312311312311311312310307307308308308307308309310310311310311311312311312312310312311312313313313312311312312311312311310311311311312311312313313313314313314313312312309313313311312310309312311310311311310310310310309309308308308309308308308308307308305306307308308308309308309309310309308309310309309308309309309310311310311311310309309308307307307307306306306306305305305305305304303303303303303304304303303303303303303303303303303303303303303303303302302302302303303303303303303302302303303303303303303303303303302302302302302302302302302302303303303303303303303303303304303303303303303303303303303303303302302302302302302302302302302302302303302303302301301301301300300301301301301301300300301301301301301301301301301302302302300301301301301303302302301300301301301301301301300300300300300300300300301301301301301301301300300300299299298298298297297297298297298297297296297296297295294295294294293296296295295295294292290291291290292290292289289289290290290292291290291290292291289288288289287287287289288287287288289289290290289289289289291290290291290290290290290291289290289289289290289290289290290289289288288289289289289289288288288288287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306309308307307307305305305305305303303303305306306303303303303303302300300299300298297296297296296295294294293292292291292292292291292291292291292292292292292291291291291291291291291291292292292292292293292292293293293293293293293293293293293294293293292293293294294295294293294294293295295294294294295295296296296297293298299299301301300302300299301300300301299299300299298297296999999999999999999999999999999999999999999999999999999999999299301303304304303303303303303304304304304304304304305306305305305305304304305305304304304304304305305304304304304305305304304304304304305305306306307306306306306306307307307307306307306306306307305305304303304305305305305306305305305305305305306305306306307307307308306307307307307306307307308309309308308308308308308308307307308308308309307308308308307308307309309309309309309308309309309310309309310309310310308308309309309308309309309310310310309310310312311312312312312312312312312312312311312311311311311311311312312313312312313313311311312312312312313312312312312312313312311312311312311311310307307308307308308308311309311311311312312312312312314311312312313313313312310312311312311311310311312310312312312312313313313314314313311311312312312313313313311312312310311312311310310310310309309309309309309309308308308306307306307308308309309309309310309310310309310309310309309309310311310311310311311311311310308308308306307307306306306306306305304304304304303303303304304304304304303303303303303303303303303303304303303303303302303303303303303303303302302303303303303303303303303303303302303302302302302302302302303303303303303303303303303303303303303303303303303303303303303303302302302302301302302302302301302303302302301302302301301301301301301301301301301300301302301302301301302302302302302302301301302300301303303303303302301301301301301301301300300300300300300300300300301301301301301301300299299298298298298297298297297297297297296297296296296296296294296294294296295296295295294294292292291293292291291291290290289290290290290292290289290290288290287288287287286287288287288288288289289289289290288289290290290290290290291290290289290289290289289289290290289290289289290289289289289289289289289288288288288288287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307309308307305306305304304302302302304304305303302303302301301301300299298296296297297297296294294294293292292292292292291291291291291292292292292291291291292291291291291291292291292292292292292292292292293293293293293293293293293294294295294294294294293294294295294295295295295295295295296294295296295295295297298299299301301303301300302301302301300300300299299298297298296999999999999999999999999999999999999999999999999999999999299301303303304304303303303303304304304304305305304305305305305305304305304305305305305305305305305305305304305304304305305305305304304305305306306307307307306306307306307306307307306306306306306306306305304304304305304305304305305304306305306306306305306306307306307307307307307308307306307308308308308308307308308308307308307307308307307309308308308307307308308308309309308309309309309309309310310310309309310310309311309309309310309310309310310310310310310311311312312312312311311311312312312312311311311311311311312313313312312313313313312311311312313313313312312313314313313312311311312312311311309309309309310309309310309309311311312312311311312313312313313314313312312312313311311312311311311312312312312312312311313312313313313313312312312312312311311311311310310312312310310310310310310308309308309310310308308308307307307307308308309310309310309310310310310309309309310310310310309310310310310311311311311310309307307307307306306306306305305303305304304304304304304304304303304303303303303303303303303303304303304303304303303303303302303303303303303303303303303302303303303303303302303302303302302302303303303303303304303303304304303303303304304304303303303304304304303303303302302303302301302302302302302302302303302301301302302302301302302301301301301301301301301301301301301302302302302302303302302303303303303303303303303303302301302302302301302301302300301300301300300300301301301301301301300299299298298297297297297297297298298297297297296296296295294296296294293294294296296295295295293293292293290290291291292290290289291291290290289291290291289289288289287287287287287287288288288289288288289290290289288289289290290289289289289289290288288289289289289290289289289289289288289289289289289289289288288288287287287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304308306305306306304302301301301302304305306303303304303302300300300298296296298298297297296296295294293293292292292292291292292291291292291292292291291291292291291291291291292292293292292292292292292293292293293293292292293293293294294295294294295295294295294295295295294295295296296296296296296295296296295298297298299300301304302301302302302301300300298298999301299297296999999999999999999999999999999999999999999999999999999999301302303303304303304303303304303304304304305304305304304304305305305305305305305305304305305306305305305305305305305304305305305305305305306307307307307307307306306306307306307307306306306306306306306306305305304306306307305307305306306305305306306306307307306307308307307307308308308307307308307308308308308307308308307308309308308308308308307309309309309309308309309309309308309309309309309310310310309309310310311309310310309309310310310310310310311311312312312312312311312311311312312312311312312311311311311312313313313313313314313313313313312313313313313313312313313313313312312312312312311310310310309310310309310310311312312311311312312312312313313313314314314314312312314312312311312312312312311312313314313313314312313313313312311311311312312312311312312311311312312312312313313310310309309309309309309308308308308307307308309309310310310310310310310310310310310310310310310310310310312311311310310310311310310308308308307307307306306306306305305304304305304304304304304304304304303303304304303303304304304304304303303303303303303303303303303303303303303303303302303303303302303303302302302302302303303303303303303303303303304303304304303303304304304303303304304303303303302302302302303302302302302302302302303302302302302302302301302302301301301301301300301301301302301302301302302302302302302303303303303304304304302303303303302303302302302303302301301300301301301300300300301301302302301300300301300299298298297296297297297297298297295296296296296293293294296294295295295295295294295294291294291291291291291290291290289290290290290289289290290290289289288290288287286288288287287287288288288289290290289289289289289290290289289289289289289289289288290289290289288288289289289289289289290289289289289288288288288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304305306305304302302302303304306305304303305304302301300298297297298298298297296296295295294293292293292293294292291292292292292292292292292292292292292291291292291291292292292292293293292292292292293293293293294294294295295294295294294294293294295295296296296297296296297297296296297295296296294295297296297300302302302301302301302301301301299298299999999299299297298999999999999999999999999999999999999999999999999999999303302303303303304304304303303304304304304304304304305304305306306306306306306305305305306305306305304305305305304305304305306305306306306307307308308308308307307307306306306306307306306306307306306307306306306306305306306306306306307306305305306307307306306306308308307308308308308308308308308308308308308308308308309308309308308309308309309308309309309309309310309310310310309309309309309309309310310309310310309309310309310310308309308309310310310311311311312312312312312311311312312312312312311311312311311312313313313313313313312312313312313313312313313313313314313314314313313312312312312311311310310310311309310311310311312312312313312312312313313313313313313314314314313313313312312313313313313313312313314313312313312312312312311311313313313311312312311313312312311313311313313311310310309310308308309307308308308307308309308309310310311310309310310310310310311310310311310311310310311311311310309309309311310309309308307307307306306305305305306305304304304304304304304304304303303303304304304304304304304304304304303304303303304303303303303303303303303303303303303303303303303303303303302303303303303303303303304304304304303304303303304304304304303304304304304304303303303303303302302303303302302302302302302303302302302303302302302302302302302301301301301301302301302302301301302302302302303303303304304304304305304303302303302302302302302302302302302301302301301300300300300301301301302301301300300299299298299297297297297297298297297296297296296295294296296294294295295295296295295292293292293292291291291291291291290289289290291289289289289288288289289289288287289287288288288288288288288289289289289290289290288289289289289289289289289289288289289289289289288288289289289289289289289289289288288287288287287288287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303304302303304303304304303303304306305304305304302301299298298297298298298297296296295294293293293293293293292292293293292293293293293293293293293293292292291291291292292292292294293293293293293293293293293294295295294295294294294295294294293294294295296295296297297296295296296296296294294297295296296295297300301303303302303302301301301299298299298999999297297295296999999999999999999999999999999999999999999999999306304303304304303303304304304304304305305305305304305305305305305306306306306306305306304305305306305306305305305305304304305305305306307307307307308308308308308308308308307306306306308307306306308308306306307306305305305307306306307306307307306306307307307307306307307307308308306308308308308308308308307308308308308307307308309308308309308308308308308309308309309310310310310310310308309309310309309310310310310310310309310310310309310309309310310310310311311312312312312311312311312312313312312312311312313312312312312313312312312313313313312312313313313313314313314314313314314314313312312313313312311311311310310310312312312312313313312313312312312313313314314314314314314314313314314314314314314314314314314314315314314314313312312313313313312313312312310311311310314314314312314313312312311311310309308309309308309309309309310310309310310311309309309309309310310311311310310311311310309311311311311310310310310310310309308308308307307306306306306305305305305304304304304304304304304303304304304304304304304304304304304304304303303304304303303303304303303304304303303303303303304303303303302302303303303303303303303304304304304304304304303303304304304305304304304304305304304303303303303302303303303302302302302303303302302301302303302302302303302302302301301301301301302302302302302301301301302302302303303303304304304303303302302302302302303302302303302302302302302301301301301300300301300301301301301300301299299299298297297297297297297297296297297296296297297295293295294295294294295295293293293293292291291292292291291291289289291289291290289289289289289289288287288289289288288289289289288289288289289289289289289289288289288289290290289289290290289289289289289289288288289289289288288289289288288288288288287287287287287288287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302302304305304305304304305306305304303303302300299298297297297298297296296295294293293293292292291292293293293293293293293293293292293293293293292292292292292292292292293292293293292292293293294294293294294294293294294294294295294294294294294296296296297297296298295298297297297296295297296295297296299299300303302300301302301302300300299298298999999999297295999999999999999999999999999999999999999999305304303302302303304305304303304303304304305306305305305304304304304305305306306306306306306305305305306306306306306305305305305305305305306306307308308308308308308308309308309309308307307307308308307306309307307306306306305306306306306306305306307307306307306307307307307307308307308308308308307307307309308308309308308309309308308308309308308308308308309309309309309309310310310310310309309310308309311310309310311310310309310309310310310309309309309310310311311312312313313312312312312313313313312312312312313312313313313312312312313313312313314313314313314314314314314314314314315315314314313313313314313313311313312313312312311312312313312313313313313313314313313314314314314315315315315317314315315313316315315315314313314314314314316312314313314313312312313312312312311313314314313313312312313312311311310310310310309309309310309310310309310310310310310310310311310310310311311311310310310310310311311311310310310309310310309309308308307307306307306306305305305305305304304304304304304304304304304303304304304304304304304304304304304303304304302303302303303303303304304304304304304304303304303304303303303303303304304304303304304304303303303303304303304304303304304304304304304304304303303303303302302302303304303302303302302302302302301302302302302302302302302302301301301301302301301301301301302301301303303303303303303304304303303302301302302302302303303303303302302302302301302301301301301300301301302301301301300299299298298298297296296297297296297297297297296295295294294295295294293293292293293292291293292290291291291289289290290290290291290290289289290289291289288287288290288288289290289289288288289289288289289289289289289289289289289291290289289289289289289289289288288288289289289288289288288288288287288287287286287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300303304306308306306304305306305304304303303300299298297298297297296296296295294294294293292292292292292293292293292292292292293292292293293292292291292292292292292291292292292292292293293293293292293293293294294292292293293292292293294295293294293295296297296298296297296296298297298297297296298299299300303302301302303301302302301300299299297999999999999999999999999999999999999999999999999999999304305304304304304304304305305304304304304304304305305304305304305305305305306306306306306306306306305305306306306306307307307306305306307307307308308308309308308308308309309308308308308309309309308308307306306306306307306306306307306306306306306306308307306307307307307307308308308308308308308308308307307308308308308307308308308309308307308308308309308308308309309309309309309310310310309309310309309310310309309310310310309309310309309309310310310309309310311311311312313312312312313313313313314312312312312311312312312312312312312313313313314314314314313314314314314314314313314315315315315315314314315315314313313312313313312312313312313313313313314314313313314313313314316315316315317317317317315316316316316316315315314315314314313315313315314314314313312313312313312312311314313313311312312313311311310310310310309310310310310309310310310309309310310309310310311311310310311310310309310310310310309311310310309310310309310309309309309308307307306306306305305305305305304305304304305304303304304304304303304304304304304304304304304304304303303304304303303303303304304304304304304304304304304303303303303303303303304304304303304304304304304304303304303304303303303303304303304304304304304303303303302302302303303303303302302301302302302302302302302302302302302302302302301301301301301301301301301301301302301302302302303303303303303302302301300301301302302302302302302302301301301301301300301300299300300300300302301300299299298298298297297296296297297297297298297297297296295295296296294293293292293292292293292293292291291291291289289289291292290291290289290289290289288288288288287289290288290290288289288288288288288288289289289289288288288288288289290289289289289288289288289288288289289289289288289288288287288287287287286286287287287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303306307307307306306306306306305304303301300298298297298297297295296296295295294293292292293292292294293293293293293292292293293292292292292292292292292292292291292292292293292292292293293293293293293293294293292292292293293293293295295294293295294295295296296296297296296296297296297297297296298298300300299301301301301301301300299299297297297999999999999999999999999999999999999999999999999303302304303304304304304304304304303303304303304304304304305304304304305305305305305306306306306306305306305306306306306307307306306306307308307308308308309309308307308308308308308308308307307309308308308307306307307308308306306306306306306306307307308308307307307307307307308308308307308307307307308308308309308309308309308309309309309309309309308308308308309309309309309309309309310310310310310311310310309310310310310311310310310309309310309311310311310311311310311311312312312313313313313314313312312312312311311312312312312311311312312314314314314314314315314314314315315315315315316315316316315315314315315313313313312313313313312313312313314313314314314313314315314313315315315317313316317316317315316316317317315315315315314315314314314314313312315313315314314313313312311312313311312311311311310311312311310311310309311310309310310310311311310310311311310311311311311311311311310309309310310310310308310310310310310309309309309309308308308307307306306306306305305305305304305304304305304304304304304304304304304304304304304304304304303304304303304304304304305305304304304304304305304304303303303303303303303303303303303303303303304303303303303303303303303303303302303303303303303303304303303302302303302302302301302302303303301301302302301302301302301302302303303302302301301301300301300301301300301301301301301302302303303302303303302301301301301301301301301302302302301301301301300301301301300300300300300301301302301300299298297298297298297297298297297297297297297296296296296294295295293292292293293293292291292291291291290290289289290289291291291290290289290290289289288288288288288286288288289289288289288288288288288289289289289289288288289288289289289289289289289289289289289289289289290289289289288288287288287287287286287287287287287288 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304305304305306306306306306305304303301300299298297297297296296296295295295295293293292292292292293293293293293293292292292292292292292292292292292292292291292292292292293293293293294293293293293293292293293292292293292294293294294294294293293295295295295296296296296296297297295295296295296297298299300301301303302301301302299298298298299299999999999999999999999999999999999999999999999999999303303304304304304304304304303303304304304304303304304305304304305304305305304305305305305305305305305305305305306306306307306306305305307307308307308308307307306307307307307307307307308306307307307307308306306307308308307307307306306306307307308307307307307306307306307308307307305306307306307306306307308308308308307307308308308308308308308308308308308309309309309309309309310310310310310310310310311309310309311310311310310309309309309311310310310310309310311311311311312312312313313313313312312313312311311311311311311312311310313313313313314314313314314314314314315316315314315315316315316314313315315315314313313313313313313313314313313314314314314314314314315315314315314314317316315317316316316316315316315316316316314314314313313314314314313315315315314313313313313312312312312313312311311311312312310311310310310310310309311310310311311311311310311311311312311311311311311310309310310310310310310310309310310310309309308310309308308308308306306306305305305304303304304304304304304304304304304303303304304303304303304303304303303304304303303304304304304304303303303303303304304304304303303303303303303303303303303303302303302303303302303303302303302303302302302302303303303303303303303303302302302302302302302301302302302301302302302303302301302300302302303302302303302302301301301301302302301301302301302302302302302303302303302303302301301301301301301302302301301301301301301301300301300301301301301300301301300300299299297297297297297297297297297297297297296297296295294294295294293294293292293293294293292291291290290290289290290289290290290291289289289288289290290288288288287288287288288289289288288288288288288288288288288288288287288289288288288289288289289289290289289289289289289289288289289288288288287287286287287287286287286287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304305304305304305305305305305304303302299299298296297297295295295295296296295294292292292292293293292292293293292292292292292292292292292292292292292292292292292292293293293293293293293293293292292292292293291291291293293293293293293293292294293293295295296295296297297297297296296296296296298297299299301302302302300300301301299299299299299999999999999999999999999999999999999999999999999999303304305304303303303304303303303303304304303303304304304304304304304305304305305305305305305305306306306306305306306306307307306307306308307307308308308307307307306307307306307307307308308308307307307307306308306307308307307307306306306307307307307307307306307308306307307307306307306307307307307308306307306307307307306307307307307307307308307308308308308308309309308308308309310310310310309311310310309310310310311310309309309309309309309309310310311309310310310310311310312312312312311311311311311310311310310310311310311311311312313312313314313313314313312313314314314315315315315314315314315314314315314314313313312312313313312313313313314313313313313314315315313314315315314313314314316316316316315315312314315314314313312313313313313313314314314315314313311313313312311310310312311312311311310310310310309310310310309309309310309311310310310311310310311311312312311312312310310310310310312312312311311310309310310309309308309309308308307307306305304305304304304304304304304304304304305305304304304304304304304303303304303303303304304303303303304304303304303303303303304304304304304304304303303304303303304303303304303303302302303303303303303303303302303303302303303303303303303304303303303303303302302302302303303302302302302302302301302302302301302302302303302302302301301301301301302302302302303302302302302302302303303302303302302302301301301301300301302302302301301301301301302301301301302302301301301301300299299299298299297296297297297297297297297297296296296295295294294295294293293294292292293292292292291291290290290290290290289290290289289289289290290288288290288287288287287287287288288288288287287287287287288287287288287287287288287287288288288288288288289289289289289288288289288288288288288288288288288288287287287287287286287286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303305305305304304305304304304303301299298298296296296294294295296296296295294293291291292292292292292292292292292292292291291292292292292291292292292291291292292292293292292292292293292292292292292292292292291292292292292292294294293293293293295295295295295296298297295297297297297297296297298298299301301301301301301301299299300299299300999999999999999999999999999999999999999999999999306305305304302303303302302302303303303303304303304304303303304304304304304305305305305305305306305305306306306306306306306307306307307307307307307307308307307307308307307307307307307307307308308307307307308308308308308307307307307308307307308307307307308307307307307307306307307306307306305307307308307307307306306307306306307306306306307308308308307308308309309309309309310310310311310310310310311310310310311311312310310308309308310310310309310310310311310310310311310310312311312312312312311312311311310310310310310311310310311311312312312312312312313313313313313314314314314314314315315315315315314315314313313313312312313313313313313313311313313313313312313314314314314315314314315315315314315315316315314314315316315314313313314314313314314315315315314314314313314312313312311312312312312311312312310310311310311310310310309310309310310310311310310310311312312312312312311312310311311311311310313312312312310309309310309309308309308308308307306305305304304304304304304304304304305305305305305304304304304304304304303303304304304303303304303304303303303304304303304304304303304303303303303303303303304304304304304304303303302302302302303303303303303302303302302302303303303303303303303303303303303303302302302302302303301302301301302302302302302301301302301302302303303301301302302301302303302302302302302302302302302302303303303303302303302302301301301301301301302302302302302302302303302302302302302302301301300300299298298299298297296296296296297297297297295296296296296295294293294294292292292292291292292292290291290290291290290290290289289290290288288288289290288286287287289288288287287287288287287287287286287287288287287288288287288288288287288288288288288288287288288288287288288289288288288288288287289288288288288288287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304303303303304303303303302300298298297295296295295294295296296296294293292292291292292292292292292292291292292292291291291292292291291291291291291292292292292292292292292292292292292292292291292292291290291292292293294294293293294294293295296295295296296298296297298298297298297301295297299299300302301301301302301299298300300301300999999999999999999999999999999999999999999999999304304304304303302302302302302302303303303303303303304304304304304304304304305305304305305305306305305305306306306306306306307306306308308308307307308308307308307308307307307308308308308308307308308308308309308308308308307307307307307307307307307307307308308308308308306307307306307307307306306306307307307306307307306306306307307307307307307307308308308308309310309310310310310310311310310311310311310311310310311310310310310309309309309311308310310310310311310311311311311311311311311311311311310310310310310310309310311311310312311312312312313313313313313313312313313313314313313314314314315316315314314314314314313312313313313313313314313313313313314313312311313313314314315315316315315315313314315315315316315315315314314312312314313313314314315315314315314314313312312312312312312313312312312312312312311311310310310309310310311311311311311310311311311311311311311312311311311310311311311311312313312312311310310311310309308309309308308308307306304304304304303304304304304305305305305305305305304305305305304304304304304304304304304304303304304304304304304304304304304304304303304304303303303303304304304304304303303304303303303303303303303303303303303303303302303303303303303303303303304304303304303302303303302302301302301301301301302301301301301300301301302302301302302301302302301302302302302301302302302302302303302302302303302302302302302301302301301302302302303301301302303302303302302302302301301301300300299298298297297297297297297297296297296296296296296295294295294293293294294292293293293292292291291291290289291291290290290289289289289289289288288289289288289288288288288287287287286287287287288287287286287287287287287287287288288288288288289288288288288288288288288288288289288288288288288288288288288288288288288287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302304303302303303302302301300298298297297296296295294295296297296294293292293292292291291292292292292292292292292292292291292291291292291291290291292291291291291292292292292292292291292292292291291290290291292292292295295294294294294294294296297296295296296298297298298297297297297297300301300300301301301301301301299299299300300300999999999999999999999999999999999999999999999297300302303303302302302302302302302302302303302303304304304304304304303303305305305304305305305305305305305306306306306306306308307307308307307307307308308308308308308308309308308309309308308309308309308308309309309308307308307307307307307308308308307307307307308306309307308307306307307306306306305305307307307307306307306307306307307306307307307308308308309309310309310311311310310310310310310311310310309311311311310310310310310309311310309310310310311310310310311311310311311311310311311311311309311311311311310309310311311311311312312313313313313314314314313313313314314314313314314314314314314314314314314314314314313314314314314313314314313313313313313313314315315315315315315316315315316316315315315315314315315315314313312312312314314314314314315315314313313313313312312313313313312313312312312312312311311310311311310310310311311312312311312312311312311311310312311312311311311311311310311310311311310310310311310309309309309309308308307306305305304304304304304304305305305305305305306305305305305305305304304304304304304304304304304304303304304304304304304303304304304304304304303303303303303303304304304304303303304303303303303304303303303304303303303303303302302302303303303302303303303303303303303302303302301301301301301301301301301301301300300301301301302302302301301301301302302301301301302302302302302302302302303303303302302301302302301301301301302301302301301302302302303302302303302302301301300300299299298298298297296296296297297296296295296296295296295294294294292294294293293292293293293293292292290290290290289289289290289289289289289289288288289289289289288288288288287287287287287287288288288287287287287288288288288288288288288288288288289289289287288288287288288288288287288288288288288288288288287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302302303302303302303301300299298298298297295295295295295295294294292293293292292292292292292292292291292292292291292292292292291291290291291291291291292292292292292292292293292292291291292291291291292292294293294295295294294295294295294294295296297297298298297297297297296297298299301301300300300301301301301299299299299298299300999999999999999999999999999999999999999999296298300302302302302302303302303302302302303303303303304304304304304305305304304304304305305305305304305305305307306306306307308307310308307307307308308308308308308308308307308308309308309309309309310309309309308309308308308308307307307306307307307307306307307307308307306308306306307306305305306306306306306307307306306306307306307307307307307307307308309309310310311310311312311311310310310309309310310310310311310310310310310310310310309309311311311310311311311311311311310310310310311311311311311311312311310310310310311312312312313313313313313314314314313313313314314314314314314313314314314314315314314314314315314314314314313313314312312312313313313313312314313313315314314315316315316316316316315315315314315314314314311310312314314314314314314314314314314314313313313313313313313313313313313312312312311311311311311311310310311311311312311311312312312312311311312311312311311311310310311310310310310310309310310310309309309308308308307307305305305304304304304304305304304304305305305305305306305305305305304304304304304304304304304304303304304304304304304304304304304304304304303303303303303303303303304303304303303303303303304304303304303302303303303303303303302302302302303302302303303303303303303302302302301300301301300300301301301301301301300300301301301302301302301301301301301301301301301301301301301302302302302303302302302302302301301301300301302301301301302302302302302303303302302302301301300300299299299298298298297297296296296297296297296296295295295295295294294294294293292294294294294292293292291291290292291290289290290289290289288289289288288288289288288287288287287286286287287287287286287286287286287287287288288288288288288287287287289287289289288288287287288287288288287288288288288288288288288287287287287287287287287287286287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302301301300301302302301300300299298297297296295295294294294294293293293293292291292292292292291291291291291292291292291291290290290290291291291291291291291292292292292292292292292291291291292291293292293294293294295295295295295295295294297296296297298298298297298296296297298297299300300299300301301301301301301301299298299299300999999999999999999999999999999999999999999999299301302302302303302302303303302303303302302303302303303303304305305305305305305304304303305305304304304305305305306306306306306307306307307307306307307307309308308308308309308309309308309309309308309310309309309309308308307307306306306306306306305306306306307307307306306306305305305305306306306307308308308306306306306306306306305306308307308307308309309309310310310311311311311310310310309309309309310309310310309309310310310309309310310310311310311309311311310310310310310310311311311310311311311312311311310310310310311312313313314313314313314313313313313314315315313314314313313314314314314315315314314314314314314314313313313313313313312313314313313311313312312313313314315315314315316316316315314314313314313314312308999312313314314313314314313314313313313313313313313313313313314314313312312312312311312311310310310310310311311311311310311311311312311311311312310311311311310310311310310310309310309309309309309309309309308307307307306306305305304304304304304304304304304305305305305306306306305306305304304304304304304304303304304304304304304304304304304304304304304304303304304303302302303303303303304303303303303304303304303303303303303303303303303303302303302303303302302303302302303302302303302302302302301301301301300300301301300301301301301300301301302302302301301301301302301301301301302301301302302302302303302302302302302302302302301300302301302302302302303303302303303302302302302301301301300300299299298298297297297296296295296295295296295296295294295294294293293293293293294293294292293291291291291289290290290289289290289288289288289289288288288289289288287287286286286286287286286286286287286287286287287287288287287287288288288286286288288289288288288287287287287288287287287288288287288287287287286286287287287287287286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302301301300300301302302301300299298298297295295294293294294295294293293293292292292291291291292291291291291291291290290290289289289290290290290290291291290291291292292292292291291291291292292291292293294294294293294295295295295294296296295295297297297298297297298297297297298298298298300300299301301300301301301301300300299300300298999999999999999999999999999999999999999999300301302301301301302302303302302302303302302302302303303303304304304305305306305306305305305305304304306305305305305306306306306307307307307306306307308308308309308308308308309308309309309310307309309310309307309308307307308307307307308307306306307307308306307307305306307307306305305306307307308307308308307307306306306306305306307307307307307308309309309309309310310310310310310310309310309309309310309309309309309309310310310309309310309310310311309308311310310310310310310310309311310311311311311311310310309310311311311312312312313313312314314314313313312313314315314314313313314314314315315315314314314314314313313312313313312312313313312313313311312312312313313312312312314314315315315315315314313314314314313313312310311312312313313313314313313313313314313313313313313313313313313312312312312312312311311311311311310310310310310310311311311311311311311311311311311310310311310311311309310310309309309308308309309308308308308308307307306306306305305305304304305304305305305306305306306306306306305305305305305305304305304304304304304304304304304304305305305305305305304304304304304303303303303303304303304303303303303303303304303303303303303304303304304304303303303303303303303303303303303302302302302302303302302301302301302301301301301301301301301301301302302301301301301301301301301301301301302301301301302302302302302302301302301301301301301301301301301302301302302303303303302302301302301301301300300300299298297297296296296296296296296296295295295295294294295295293293293293293294294293294293292292291291290290290289290290290290290289289289289289289289289289289289288286286287287286286286286286287286287286287287286287287287287288287287287287288288287288288287287287287287287287287287287287287287288287287287286287287287287287286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303301301300300300301301301301300298298297296295295294294293294293293292293292291291291291291292292292291291291291290290290290289289290290289290291291291291291292292292292292292292291292292292292292294294294294293292294294295294295295295296296297298297297296296297297297297296296297298300300299299300299300300301300300300300300300298999999999999999999999999999999999999999999999301301999999299300301300301301301301301301301301302303303304304305305305305305305304305305305304304306305305305304306306306308307308307307308307308308308308309309309308309309307309308309310309307307309308309308308308308307307308309308307307306306306308306306306306306307307306306306306307308308307307308308307307307306307307307308307307308308308308310309309310310310310310310310311310309309309310309309309309310309309310309309309309310310310310310309309311311310311311311311312312311310310310311311311311310309309311312312312312313313314314314314314314314313313314314315314314314314314315315314314314314314314313313313313313313312312313314313313312312312313313313313313314314315315315315315315315314314314314314313313312311312313314314314314314314314314313314313313313314314313313313312312313312312312311312311310311310311310310311311311311311312312311310312313311311311311310311310310310311311310310309310309309309309309308308308308308308307306306306305305305305305305305305306306306306307307307306306305305305305305305304304304304304304304304305305305304305305306305305304304304304304303304304303303303303303303303303303303303303304304303303303304303303303303303303302302302302303303303303302302302301302302303303302302301301300301301301301301300301301301301302301300300301301301300301301301301301301301301301301301301301301302302302301300300301301301300301301301302302302302302302302302301302301301301300299299299298298298297296296296296295296296296295294294295295294295294293293293294294293294294292292292290291291289289290290291290290290289289289289289289289289290288288288288287287287286286287286287286286287287287287287287287288287287288288288288287288287288287287287287286286286286287287287287287287288287287287286286287287286286287286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304302299298300300300301299298298298296296297295294294294293293293292292292292291291291291292292292291291292292291291291291291290289289289290290291291292292291292292291292292291291291292292292293292293294294293293294294294294294294295294294295297297297296296295297297296296296297297298298299299299300301300300301301300301300300299297999999999999999999999999999999999999999999999302302302999297302300298299299300300300300301302302303303303303304304305305305305305305305305305304305306305305305305306305306306307307307307306307308308308308308308307308309310309309309309310309309308308308308308307308308307307308308307305306306307306306306306306306306307306307307307308308308307307307306307307306307307307307308307308308308309309309309308309309309309309311310310310308309309309309309309309309310309309309310309310310310310311310311311310310310310310310310311311310310310311311310310310310310310310311311313313313314314314315315314315314314314315314314314314314314314314314314314314314314314313314313313313313312312313314312312312312312314313313314314314314315315314315315315315314314313313313313313311312313313314314314314314314314314314314314314314313313313313313312312312312313313312311312311311311310310310311311311311311311311310310311312310311311310311311310310310310311310310310310310309309308308308308308308308308307306306305305305304305305305305306306306306306307307306306306305305305305304304304304304304304304304304304304305305305305306305305305304303303304303303303303303303303303303303303303303303303304304303304304303303304304304303303303303303303302303303303302302302301301302302302302302302301301301301301301301300301301301301301301300300300300301300300300301301301301301301301301300301301301302302302301300300300301300300300301300301301302302302302302301301301301301300300299298298297297296295296296296296295295296295295295294294294294294294294294293293293293293293293292291290290290290290290290291290290289289290290289289289290289289288288288288287287287286287287286287287287287287287288287287287287288288288288289287287287287287287286288286286287287287287287287287287287288287287287287287288287288287288286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304301299298298298298297296296296296294293294294294294293293293292292292292293291291291291291292292291292292292291292292292291290290289290290291291292292292292292292292292292293293292292292292291293294293295294293293294294294294293294293293296296296298296295297297296295295296297298297299300300300299301300301300301301301301300299296294289999999293293295999999999999999999999999999300300999296298298297297298299300301301302303303303302302304304304305305305305304305305305305305305305306306306306306306307306307307307307307308309308308308308308307308310309309308310309310309307308310309310307309308309308308308307307306306307306306306306306307306306307306307307306307307308308308307307307307307307306306306308308307308308308309309308308308308308308309309309308309308308308308310309309309309309310309309310309310310310310311311309311310310312310310310311311310310310310310310310310310309310309310311310312313312314314314315315314314315314313314314314314313314314314314314313315314314314314314313313312313312312312312313311311312312313313314313313313314315315314314314314314314313313313313313313313313314314314314314314314314314314314314314313313314313313313313313313313312313313312312312311312311311311311311311311311311311310311310310310311311311311310310311311311311310310310309309309309309309308308308308308308308307307307306306305305305305306305305306306306306307306306305305305305305305305304304304304304303304304304304305304305305306306306305305304304304304304303303303303303303303303303303303303304303304304304304304303304304304304304304304303303303302302302302302302301301301301301301301302302302301301301301301301301301301301301301301300300300300301301300300300300301300301300300301301301301301302302302301301301301301301300300300301301301301302302301301302302302301300300299299299298297296297296295295296295295295295296295295295295294295295294294294294293293293293294294293292291291290290290291290291291291290290289290289289289290290289289289288287288288288288287287287287287288287287288288289289288288289289289289289288289288288287288287287288287287287287287288287287288287288288287287288288287286286286286286286286285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298299298298297296296296294294293292291291291291293293293292293292292293292292292292292292292292292292292292292292292291291291291290291291292292293293293292292292293293293292292293292293292293295294294294294293294294294293293293295295294296296296296296296297296296296295297297297299299298300299300299301300300300301301299298296295294999999999297295292999999999999999999999298298299999298298299299298298298299301302304304303303303303303303303304305305305305305305305305305305305307306306306307306306307308306307307308307308307307308309308308309308309309309309309309309309308308308308308308308308307308306307306306306305306306306306306307307306307306307306307307307308306306306306307307307307307308307307307307308308307308308309308308308308308309309309308308308308308308308308309309309309310310310310310310310309311311310311310309310310309311309310310310310311310310310309309310310310310310310312311312313314315315315315314314315314314314313313313313314313313314314314313314314315314314313313313313312312312312313313312313313313313313313313313313314314314314314315313313313312314313313313313313313313313314314314314313314314314314314313313313313313313313313313313313313312312312312311311311311312311311312312312311311310309310311310311310311310310310310311311311311310309309309309309308308308308308308307308307308307306306305305305305305306305306306306306306305305306306305305306304305305305304304304304303304304304304304304305305305305305305304304304304304304304303303303303303303303303303303303303303304304304304303303304304304304304303304303303302302302302302302301301301301300301301301301302302301301301301301301301300301300301301301300300300300300301301301301301300300300300300300300301301301302302302301301301301301301301300301301301301301301301302303302301301300301300299298298297296296296296295295296295296295295295296295295295296296295294295295295294294294294294293293292292292291291291292291292292292290290291290290290290289290290289289289289288288288288287288288287287288287288288288288287288289289289289288288288288288287287287287287287286286286286287287287287287287287287287287287286286286286286285285285286285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298297295295295295293293293293292290290291289290291291292292292293292292292293293291291292292292292292292293293293293292292292292291292292292293293293293293294293293293294293293294293293293294294292294294294294294294295294294295296296296296296297297297297298297297298297297298298299299300299299299299301300299301301300299298297297295295999999297292290291999999999999999999295297298297297298298298298298298299300303303304304304302303303304304304304305305305305305305306305305306307306306306306306307307307308307307308307307308308308308308308308309310309310308309309309309309309307308307308307308307306307306306307306305306306306306306307307306306307306306307307307307307307307307307306306307306307307307307307308308308308307308307307308308308308309309308307308308308308308309309309309310310310310309310310310310310310311310310309310309310310310310309310309309309309310309309310310309310310311312311311312314315314315314314314315314314314313313314314314313314314314314314314314314314313313313313313312312312313312312313313313313314313313313313313314314315315314314313313312312313313313313313313313313314314313313313313313313313313313314313313313313312313312313313313312313313312311312312311311312311311311311311311311311310311310309309309311310310310310310310310310309309309309309308308308308307308308308308307307306306306305306305305305305305305306306306305305305306306305305305305305305304304304304304304304304304304304304304304305305305305305305305304304304304304303303303303303302303303303303303303303304304304303304303304304304304304303303303303303303302302301301301301300300301301302302301302302302301301300301301300301301301301301301300300300300301301301301301301301301300301301301301301302302302302301302302301301301301301301301302302303302302301301301302300299300300299298298297297296296296296296295296295294295295295295295295295295295295295294294295294293292293293292292291291290291291291292292292292291290290289290290290290290289289288289288287288288288288287287287287287287288288288288287287288288288288287287287288288287287287287287287286286286287287287286286287286287287287287286287286286286286285285286285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298297296295295295295293292292290291290289289289289289291291291291291292292292292291291291291291292292291292292292292292291291291292292293293293293293293293294293294294293293293293292293293294294295294295294294294295295295295295297297297297297297297297297298297297298298298298299299300300299299299299300301300300301301299299298298296296999999295290291999999999999999999999293296297296297298297297298299299299300302303304304304302303304304305304304304305304304305305305305306306306306305306306307307308308308308308309309307308308308308309308309309310309309309309309309309308308308308307308308308308306307307307306306306306306307306306307306307306307307307307307307308308308308308307307307307307307307307307308309308307307308309308307308307308308308309309308309309308308308309309309310310309309310310310310310311310309310310310309310308309308310310310311309309309309310311310311310311312312311312311313313313314313313314314314315314314314313314314314315314313314314314313314313313313313313314312312313312313312312313312313313313314314314313313314314315315315314314314313313312313314314313314314312313313314313313313313313312313313314314313313314313313313313314313314313314313312312312311311311311310311311311310311310310310310310310310310310311311312311311310310309309309309309308308308308308308308308308308307307307306306306306306306306306306305305306305305305305305306305305305305305305304304304304304304304304305304305305305305305305305305305305305305304304304304304303303303303303303303303303303303304304304304304304304304304304304304303303303303303303303302302302301301301300300301302302302302302302302301301301301302302302301301301301300300301301301302301301301301301301301301301301301301301301301302302302302301302301301302301301301301301300300300300300300299299299299299299298297296296295295295295295294294294294294294294295295295295294294294294293294293293293293292291291291291291291291291292292291291291291290290289290289289290289288289288288287288288288288288288287287287287288288289288288287289288288288287288288287287287287287287287287286287286287287287287287286286287286287287286287286286286286285285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298296295296296296296294294292291290289288288289289288289290290290291291291292292292291291291291291291291292291291291292291291291292292293293293293293293293293293293293293293293293292292294293294295294294294294294294295295295295296296297297297297297297297297296297298297298298298298299300300299298301300300300300299300298298298297297296295293294289999999999999999999999999999293294296296296297296298299298298300301302303304303304304303304304304305304304304304304305305305306306306306306306307307307307307309308308308308308307309308308309308309309310309308308309308309309309308308308308308307308308307308307307306307307306307307307306307307307307309308306307307308309309309309309308308308307308308308308307308309309309309309309307308309309309308309309309309310309309309309309309309310310310310310310310310311309311309310310310311309310310310310311310311310311311311310311311311310311311312312313313313313313314313314314314313314314314313313313313314314313313314313313313314314314313313313313313313312312312312313313313313313313313314314313314314314315315314313313313313313313313314313314314314313313313313313314313314313313313313314314313313314314314314313314314313315314313313312312312311311310311311311310310311310310310311311310310310310312312311311310310310310309309309310309309309308309308308308308308308307306306306306306307306306307306306306306305306305305306305306305306305305305305304304304304304305304305305305305306306306305305305305305305305305304304304304303303304304303303304303303304303304304304304304304304304304304303303303303303303303303302302302301301301301301301301302302302302302301301301300301301301301301301300301300300300300300301301301301301301301300300300301301301301301301301301301301301301301301301301301300301299301301299299299300299299298299298298298297297296296295295295294294294294293295293295295295295295295295294294294293293293293293293292292292291291291291291291291291291291291290289290290290290290290289289289289289288288288288288288288288288289288288288288288287287288288288287288288287288287288287288288287287286286287287287287287287286286287287287287286286286285285285285285284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295296296295296295293292293292291290289289288287288289289290290291292292292292292292292291291291291291291291291291291291291292292292293293293294293293293293293293293292293294294293293294293293293294294294293295295295295296296296297297298297297297297296297296297297298298299298298299299300300299299298300299298299299298298298297298298297295294999999999999999999999999999999291292293292294295296999999999999300300301302303303303303303302302304304303303304304304305305304305304305306305306307307306307307307308308308308309308308308309309308309308308308308307308308308308308307308308308308307307307307307306306307308307307306307307307307307307307309308307308309309309309309309309309308307308307308307307307308308307308309309309308308308308308308308309309309309309309308308308308308309309310310309309310309310309310310309310311310310310309310310310310310310310310311311311310311311311312312313313313313314314314314313313313313314314314313312313313313313313313313313313314314314314313313313313313313313313313312312312312313313313313314313313314314314315314313313312313313313313312312311313313313313313313313313313313313313313313312313313313313313313314312313313313314314313314313312313312312312312312311311310310311310310310310311311310311311311311310310310310310310309309309309309309308309308308308308307307307307307307307307306306305305306306306306305304305306305305304305304305304304304304304304304304304304304304305305305305305305305305305305305304304304304304303303303303303303303303303304303303303303304304304304303303303303303303303303303303303303302302301301301301301301300300301301302301301302301301300300300301301301301301300300300300300300300301301301301301300300301300300300300301300301300300300300301301301301301301301301300300300300301299299299300299298298298297297296296296296295295295295294294294293294294294295296295295295295294294294294294294293293293292292292292292291292291291291290291291290290290289289289290290291290289290289289289288288288288288288288288288288288289288286288288288288288288288288288287288287287288287288287287286287287287286286287286286286287287287287286286286286286285285285284284284285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295295295296295294294293293292291290291290289289289288288289289290291292292292292293291291291291291291291292291291291291292292292292293293293294293293293292293293293293292293293293294293294293293293294294294294294296295296296297297296297297297297297297297298297297298297299298298298300299300298298298298298299299299298298298298298298298296999999999999999999999999999999999292295296294296295999999999999999999298299299300302302302302302303303302302301302303304304304305304304304306306306307307306306306307307308308308308308308308308308309308307308309308307306307308307308308308308308308308308307307307306307307308307307306307307306306307307307308308308309309309308309309308308308308307308308307307307307307307307307308308308308308308307307308308308308309308308308308308308308308308309309309309309309309310310310310310310310311310309309309309309309309309310309309310309310310312311312313313312311312312312312311312312311313313313312311312312312312313312312312313313313313314313313312313313313313313312312312312312312312312313313313313313313313313314314313313312313312312312312311312312312312313313312312313313312313313312312311312313313313313312312312313313313313314311312312311312311311312312312311310310309310311311310309309309310310310310310310310310310309310309309309308308308309309307308308308307307307307306306306305306305305305305305306306305305305306305305304305304304304304304304304304304304304304303304304304305305305304304305305304305304304304304304304303302302302303303303303303304303303303303303303303303302303303303303303303303303302302302301301301301301300300300300301301301301301301301301300300300300300300301300300300301300300300300300301301301301300301300300300300300301301300300300300300300300300301300301301300300300301300299299299299299299298298297297297297296296295295295295295295294294294294294294295295295295295295294294294294293293293293293293293292292292292291292291291290289290290289290289290290290289290290290289289289288288288287288288288288288288288288288288287288288288288288288287289288289288287286287288287287287287287287287286287287286286286287286286286286285285286285285285285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296295296295295294293293293292292292291290290289289289288288288289290291292292292292293292291291291291291291291290291291291292292293293294294294294293293293293293293292293292293293294293294294293295295295295295296295296296296296296297298298298298297298298297297297298298298298297299300299299297298297297297299299299299298298298298298297297999999999999999999999999999999999999295296299296999999999999999999999999299298298300300302303303304301300301301301303304303303304304305305305305305306306307306306307307308308307308308308307308307308308307307309309307307307308308308308308308309308307307307307307307306306306306306306306306307307307307307309309308308309308308309309308308308307307308307307307308307307307307307307307308308307307308307307308308308308308307308308307308308308308308308308309309308308308309309309310309310310310309309309310309308310309309309310309310310310310312312311310311311312310311311312312312311310310310310311311311312311312312312313313313313313313312312312313313313313313313313312312313312311312312313313313312312313313313313313313313313313312312312312312312312312312312312312312311312313313312312312312312313312313312312312312313313313312312312312312311312311313311311310310310310310311310310309310310310310310310310309310309310309309309309309309309309309308308308309309308307307307306306306306306306305305306306306305305305305305304306305304305304304304304304304304305304304304303304304304304304304305305305305304305304304304304303303303303302303303303303303303303303303303303302302302303302302302303303303303303302302302302302301301301301300300300300301301301301301301301301301301301301300300301300300300300300300300300301301301301301301300300300300300300300300300300300300300299299300300300300300300300300300300299299299300300299298298297297296296295296295295295295295294295294294294295294295295295295295295294294294294294293293293293293294293293292291291292291290290291291290289289289289290289289290289290290289288288288288288288288288288288288288288289288287287288288287288288289289288288288287286287288287287288287286287286286286286287286286286286286286286285285285285285284285285284285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290294295296295295294293292292293292291291290290289289289289288288288289289290291291292293292291291291291290291291290291291292292293294294294294294294294294294293293293293292292292292293294294293294295295295295294295295296295296296296297297298298298297297297297297297298298298298297299300299301299297298297299298299300299298298299298298298298999999999999999999999999999999999999999999297296999999999999999999999999999298301999300301304304302300299999999301302304304304304304305305306307307306309306306307307308308308307308308308308308307306308306308307307307307308308307308308308308308308308308307307307306306307307305305305306307307307307309308309309308308308308308308308308308308307309308307307307307307308307307307307307307308308307307307307307308308308308308308308307307308308307307308308308308307308309309310309309309310310310310310309309310308309309309310310308308309309309309310310310310310310310311311311312311310310309310311310310311311311312312311312313312313313312311312312312313313313313313313313313312312312312312313313313313313313313313313313313312312312312312312312312312311311311311311311312312312312312312312313313313312312312312312311312312312312312312312311311311313312311311310310309310310310310310310309310310310310310309309309309309309308309308309309309309309309308308308307307307307307307306306306306306305305306306306306305305305305305305305305304304304304304304304305304304305304304304304304304304304304304304304304304304304304304303303302303303303302303303303303303303303303303302302302302302302302302303303302302302302302302302302301301301301300300300300301301301301301301300301301301301301300300300300300300300300300300300300300300301301300300299300300300300300300300300299300300299299299299300300300300300299299299299299300299298298297297297296296296296296296295295294294294294294294294294295294295295294295294294295294294294294293293293292293292292291291292291291290290291291291290289289289290289289289289289289288288288288287288288288287288288288288288289289289288289288287287288288289289288288288288287287287287287287286287286286286286286286286286286286286286286286286285285285285284284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295295294294292292292292292291291290289289288288288288287288287288288289290291291292292293292292291292292292292292293293293294294294294294294294293294294293294294293293293293293293293294294294295295294294294295295295295296296296296297297297297297297297296298297297297298298298299300300301299299299301299299299299299299297299297298299297297297298999999999999999999295297298298999999999999999999299298999999999999298301999999999999999301301299999999999302303303303304304304304304305305307306306306307307307307308308308308308308308309308307307307308307307308308308308308309309309309309309308308307308307307307307307306308308306308309309308308308308308308308308308308307308308308309309308307308307308308308307307307308307308308308308308307308308307308308308309308308307307308307307307307308308307308309309309309309309310310310310310310309309309309309308308309309309308309309309310310310310310312310310310311311311311311310310310310310310311311311311311311312312312312312311311312312313313313313313313312313313312312312312312312312313313312313312312312312312312311312312312312312311311311311311311311311311311311311312312313313313313312312312312312312312312312312313312312312312312312311311310310311310310311310310311311310310310310310310310309309309309309309309309309310309309308308308308308308307307306307307307306306306305305306306305306305305305305305305305305305304305304305305304305305305305305305304304304304304304304304304304304304304304304303304303303303303303303303303303303303303303303303303302302302302303303303302302302302302302302302302302301301301301301300301301301301301301301301301301300301301301300300300300300300300300300300300300300300300300300300300299300299299299300300300300300299300300299299299299299299299300299298299298298298298298298298297297296296296296296295295294295294295294294294294294294294295295293294294294294294294294293293292292292293292291291291292290290290291291290290290289289289289289290289289289290289288288287287287288288287288287287288288289289289289289289288289289289288288288288288288288288288287287287287287287287287286286286286286286286286286286286286285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298295294295294293293292292292291291290290290289288288288288288288288287288288289289291291292293293293293293294293293294294294294293294294294294294293293294294295295295293293294293294294294294294295294295295294294295295295295296295296296297297296297297297297296297298297298298298298299300301301301301300301301300300300300299299999999299300298298299297294999999999999296296297297298298298999999999999299299298999999999297298999999999999999999301298999999999300303303304304304304304304305305307306307307306307307308308308309308308309309309310308308308308309308308308309308308308309309309309309310310308309308307306307309308309309308308307308307308308308308308308308309309309308309309309308308307308307308309309309307307307308308308308307307307308307307308309308308308307307307307307306307307306307306308308308309309310309310309310310310309310310310310310309309309309308308308309310309310309310310310310310311311311310309309310310310310310311310310311311311312311312312312312311311312312312312313313314312312311312312313312313312312312312312311312312312312311312311310310311312312311311311311311311310311311311311311311312313313313312312311312312312312311312313313313313312312312312312311310311309310310310310310310311311311311311311311310310310309309309310310309309309309309309309308308308308308307307307307307307307306306306306306306306306305305305305305305305305305304305305305305305305305304305305305305304304305304304304304304304304304304304304303303303303303303303303303303304303303303303303302302302302303302302302302302302302302302302302302301302301301301301301300300301301301301301301301301301301300301300300301300300300300300300300300299300300300300300300299300300299299299299299299300300300299300300299299299298299299299298298298298298298299298297297297297297297296296296296296296295295295294294294294294294294294295294294294294294294294294294294293293293293292292292292292292291291290290291290289288289289289290289290290290289289289289289288287288287288289288287288288288288289290290290289289288289289290289289290289288290289287287288287287287287287287286286286286286286286285286286286285285285285285285285284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293293295293293293292291292290290291290290289289288287287288288288288288288288289290290291292293293294294294295295295295294295295294294294294294293294295294294294294294295294294293294294294294295295295296295294295295295295296296295296297297297298297297297297298298297298299299299300299301301301301299301301301299300300299299299298298297298297298296293293999999296297297298298299299299299999999999301299299999999999999999999999297298299300299299999999999303304304304304304304304304304304305306306306306307307308307308308308308308308309309307308307308307308308308308308308309309309309309308310310308309308306306307307308308308308308307307307308308308308308307308308308309309309308309308308309309309309309309308308308308308308308308308307308308307308308308307307307307307307306306306307306306308306307308308308309309309309310309310310310310310310310310309309309310309309308308309309309309309309311312311310310310310309309309310310310310310310310310310310310311311312311312312312312312312312313312313311312311312312312313312312312312311311312312312312311311312310310308309310311311310311310311311311311311311312312312312312312312312311312312312312312312312313313312312311313314313311310310310311310311310310311311311311311310311311311310309310309309310310310309309309309308309309309308308308308307307306307307307306306306306306306306306306305305305305304304304304304304305305305305305305305305305305304305304305304304304304304304304304304304304304303303303303303303303303303303303303303303303303302302302302302302302302302301302302301301302301301301301301301301301301300300300300300300301300301300300300300300300300300300300299300300300300300300299299299299299299299299299299299299299299299299299299299299299299299299298298298298298298298298298298298298297297296296297297297297297296296296296296295295295295295295295294294295294294294294294294294294294293293292292292291292292291292291290290290290293290292290289289287289289289290289289289289289288288288288287288288288287288288289289289289290289289289289289289289288288289287288288288289288287287287287287287287287286285286286286285285286285285285285285285285284284284285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292293291292292291291292291290290289289288288288287287287287287288288288288289290290291291292292293294294294294294294294294294295294294293294293295295295295295295295294294294293293295293295295296295295295294295296296296296295296297297297297296297297297298298298299298298298299300300301301302301301302301301299300300300300298296297299297299299296294291293292296297297298299300301302300301999999999300299299999999999999999999298299300300300301999300301304303303304304305303303303304304305305305306306306307307306308308309309310309308308307308307307307308307307307307307307307309310309310309308308307307308305306305306308308307307307307307308308308308308308308308309309308308309308309309308309309309309308307308308308308308308308308307308308308308308308307307306306307306306306306305306306306307307307308309308308309309308309309309309309310309308309309309308309309309308308309308309309311312310310310309310310310310309310310310311310310310310310310310310310310311312312311311312312311312312311313312312312313312312313313313312312312311312312311311310311310309309307999310311311311310311311311311311311311312311311312313312312312312311312312312311312312312312311311311314313313311311311311310310311311310311312312311311310311310310310310310310309310309310309309308308308308309308308308307307307306306306306307306306306307306306305306306306305305305305304305305305305305305305305305305305304305304304304304305305304304304304304304304304304304303303304303303303303302303303303303303303303303302302302303302303302302302302302301301301301301302301301301301301301301301301300300301300300301301301300300300300300300300301301300300300299300300300300300300300299299299299299299299299299299299299299299299299299299299299299299298298298298298298298298298298298296297296296297297297297297297296295297295295295294295295294295295294295294294294293295294294294293293293293292292293293292291291290289290289289290289289289289288288289289289288289290289289289288288287288288288287287287287288289289289288288288288289289289289289289288288288288288288289288287287287287287287287287286286286286286286286286285285286285285285285284285284285285 999999306304307309307303304298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292292291292292291291291290289289289289288288287287287286286287286288288288288289290290290291292292293294293294293293293293294294295294294294294295294295295294295294294295294293294294294294293295295296295294295296296296295296296297297297297297297297298297297298299299298298299299301301300300300301300300299300300300299300298300999999999999999999999290291289292294297299299999999999298298299999999300299298298298299999999999999999299298299299301302303303303303304304305304305304303303305305306306306306306307307308309308308309308308308308309308309308308308308308307307307309309309308309309308307307307307307306307306307306307307308308308308308308308309308308308308308308308309309309307307308309309309309309308308309309309309308307308308308307308307306307307306306306307306306306306306306306306307307308308308308309308309309309310310310310309309308308308309308308309309308308309309310310312310310310310310311311310310310310310310310310310310310310311310311311311311311311312312311311312312312312312312312312312312312312311311311311311311311311310310310309308306999308309310311311311311311312312312312312311311311312312312311311312312311311311311312311312311312312311313311311311312312311311311311311311312312311311311311311310310310310310310310310310310310310308308308308308308307308307307307307307307307307307306306307306306306306306306305305306304305305305305305305305306306305305305304304304305305305304304304304304304304304304304304304304303303303303303303303303303303303303303303302302302302302302302302302301301301301301301301301301301301301301301300300300300300300300300300300300300300300301300300300300300300300300300300299299299299299299299299299299299299299299299299299299299299299299299299299298298298298298298298299298298298298297298297297296296296297297297297296296296296296296295295295295294295295294294294294294295294294294293294293293293294292292293292292292291290291291290290290290289288288289289290290289289289289289289289289288288288288288288288287287288289289289288290288288289288289288287289288288288288289288288287287287288287287287286286286285286286285286286286285286286285285285285285285285285285 299304305305307309307304300298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293290293292292292292292291291290290289289288288287287287287287286286287287288288289289289289290290291291292292292293293293294294294294294294294294294295294295295295295295295295293294294295294293293294296296296295295296296296295295296297297298297297297297297297296296298299298299299299301300300300300300300299301301301300299299300298298300999999999999999999999288291293294298300999999999297298299300999999299298298298298999999999999999299298298299300301301301302304305305304304305304305305305305306305306306306308308308308308308307308308307308309308308308308308308309309309308308308309309309309308307308307307306306306307307307307307308307307307307308308308308308308308308308308308308308308306308309309308308308308309309309308308307307307307308308308306307307306305306306305306306306306307306305306306307308308309309309309309310310310310310310310309309308308309309309309309309309309309310309310311311311310311310311311311310310310310310310309310310310310311311312311311311311311312312312312312312312312312312311312312312312311311311311311311310310311309309309308999999309310310311311311311311311312312312312312312312312312312312312311312311310312310311311311311311310311311311310310311311311311310311311311311311311311311311310310310310310310310310309310310311309310308308308308308308307307307306307307307306307306306306306306307306306305305305305305305305305305305305305305306305305305304304304305305305305304304304304304304304304303304304303303303303303303303303303303303303303303302302302302302302302302302302301301301301300301301301301301301301301301301300300300300300300300300300300300300300300300300300300299300300299299299299299299299299299299299299299299299299298298298299298299299298298298298298298298298298298297298298298298297297297297297297297297296296297297297297297296296296296295296295295295294295294294294294294294295294294294294294294293293293292293293293292292291291291291290289289289288288289290290290290290289289289289289289289288288288288287288288288288289290288288288289288288288288287290289289288288288288288288288288287287287287286287286286286286286286286286286286286285285285285285285285285285285285 303294291295302304301299287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292292292292291291291290290289289289289288287287287287286286286286286287287288289289289290290291291291292293292293293293293294294294294295294294295295294295295294294294295294294294294295296295295295296296296296296296296296295296297297297297297297296296296297297298298298299299299300300300300300301301300300301300299298299300298298298999999999999999999999999294296296298300300999297298298299299999999299299299298298297999999999999999297298298297298301303303303304304304305305305304306305305305306305306306307307308308308308308308306308306308307308308308308307308308308308308308309309308308308307307307306305306306306307308306307307307307307307307308309308307308307307307308307307306307307308309308308308308308309309308308308307307306306306307308307307307306307306305304305306306306306306307307307308308309309309309309309310310310311311310309308308308308308309309309310309309309309310309310311310311311311310310310310310310309310309310310309310310310310310311311311311311311312312312312311311312311311312312312312311312311311311311311310311310310310309309309308309310310310311311311312312312312312312312313312312312311311312312312311310312313312312312311311311311310309310310310310310310311311311311311311311311311311310310310310310310310310310310309310309310309308308308307308307307307306307307306306306306306305306306307306305306305305305305305304305305304305305305306306305305305304304305305305305304304304304303303303303304303303303303303303303302303303303303303303302303303302302302302302302301302301301301301300301300300301301301301300300300300300300300300300300299299300300300300300300300300300300300299299300299299299299299299299299299299299298299299298299299298298298298298298298298298298298298298298298298297298298297297298297297297297297297297297297297297297297297296296296295295296295295294294294294294294294293295295294294294294294293293293293292293292292292292291291291291289290289289289289289289290289289289288289289288289288288288288288288288288288287288288288288290288289289289288287288289289288287289289288288288289288288288287287287287286286286285286286286286285286285285285285285285285285285285285286 999302298296297304298293290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291292292292291291290289290289289288288288288287287286285286286285286286287288288289289289290290291291291292292292292293293293294294295294295294295294295295294294294294294294294294294294296297295296296296296296297296296296296296297297297297297297296296296297298298298298299299299299300300300301300300300300300300299299300300298298298296296999999999999999999294999298298299301300298299300300300300299299298298298297296999999999999999295296298298299301302303303304304305305305304305304306306306306306306306307306307307307307307308307307306308307308309308307307307306308308308309308309308308308308307307308307307307307307307306307307307306307308308308308308308307307308308307306307306307307307308308308308309309309309309308308307307307306307306306305306305306306304306304304305306306306306306306307308308308308309310309308309309310310310309310308308308308308308309309309309309309310310310310309310311310310309310309309310310309309310310310310310310311310311311311311311310311311312312311311311311311311311312312312311312311311311311311311310309310309309310310310310310310310310310311312312312312311312312312311311312311312312311311311312312312312312312311312311311311310310310310310310310310310310310310311311310310309309309309310309309309309309309309309309309310308308308307307307307307307308307306306306306306306306306306305305305305306305305305305305305305305305305305305305305304304305305304305305304304304304304304304303304303304303303303303302303303303303303303303302302302302302302302301302301301301301301300300300301301300300300300300300300300300300300300300300300300300300300300300300300300300299299299299299299299299299299299298298298298298298298298298299298298298298298298299298298298298298298298298298298297299299298297298297297297297297297296296297297297297296296296296295295295295295295295295294294294293294292294294295295294294293293293293293292293292292292292291291291291290290290289290289289289289289289289289289288288289288288288289288288288288288290289289288289290289289289290289287288288289288288288289288288288288287287287287287287286286286286286286286286286285286285285285285285285285285285285285286 999294302300295302295292294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291293292291291290290289289289289289287288287287287286286286286286286286285288288289289290290290290290291291292292293293293294294294294294294294296295295295295294295294294295294293293295295295295296296296296296297296296295296296296296296297297296296296296297298298298298299297298299299299300299301300300300300301302301301301300297297296295999999999999999999999999299300300300299298299300301302300301301301300999297296999999999999999999999297298299300302302302303304304305304304304305305306307306306306307306307307306308308307308308307306307307308309307307307308307307307307307308309308308308307306307306306305306307307307306306307307307307307307307308307307308307308308307308307308307308308308309308309310309309309309309308308307307307308306306306306305306305305305306306305306306305305305306307308308308309309309309309310309310309309309308307308308308307308309309309309309309310310310310309309310310310309309310309310310309309309309310310310310310311311311311311311311311311311312312312312311311311311312311312312311311312311311311311310309309309309310311311310311310310310311310311312311312312312312312311311311311312312311311311311311312311311311310311312312311310310310310310310311311310311310310310310310310310310310309309309309308309309308307309308308309308308308307307307307307307308307307306306306306306306306305305305305305305305305305305305305305305305305305304305305304305305304304305305304304304304304304303303303303303303302302302303303302302302302302302302302302302302302301301301301301301301300300300301300300300300300300300300300300300300300300300300300300300300300300300300300300299299299299299299299299299299299299299299299299299299298298298299298298298298299299299299299298298298298298298298299298298298299299298298297297297297297297296296297297297296296296295295295295295295295294294295295294294294294294294295295295294293293294294293293292293293293293291291290291289289289290290289289289289289288289289289289289289288288288288288288288288287288289289289289291289289288289289288289287289288289290289290289288287287287287287286287287287286286286287286287286286286285285285286286285285285285285285286 999295302301294297294292291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293292292292291290289290289289288288287287286286286286286286286286286287287287288288290290290290290291291292292293294294294293294294294293294294294294294294294294294294294294294295294295294297297297296296296296296296295296296296296296296296296297296295297297298298298297297297297298299299299299298301300300301300299300301300298297295293289999999999999999999999300300298298297297298299301301301301301301302303298296296296999999999999304999296297299301303302303303304304304304304304305306306307306306307306306308306307308308307308307307307306307307307307308307307307307307308308308308308307306306306306305306307306306307307306307307307307307307307307307307307308307307307307307308308307308307309308309309309309309309309308307306307307307307306306306305306305305305305306306306305305305305306307308308308309309309308309308309309309309307307306307308307308308308309310310310310310311310310310309309310310310310309309310310310310309309310310310310310311311310310311311311311310311312312311311310311311310311311311311311311310310310309310310309309309310311310310310310310310310311311311311311311311312312312311311311311312311311311311310312312310310311313312311311311311310311311311310311310310310310309310310310310310309309309310309309308308308308308309308309308308308308307307307307307307308307306306307306306306306305305305305305305305305305305305305305305305305305304304305305305304305305304304304304304304304304303303303303303302302302302302302302302302302302302302302302301301301301301301301300301301300300300300301300300301300300300299300299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299298299299299299299299299298299299299299299298299298297299298298297298297297297295296297297297297296296296296296296296296295295295295295295295295294294294294294294294295294294293293293293293293293293293292292291290290291290289289289289289289290289289289289289289289288289288289288288288289289289289289289288289289289289289288289289288288289288289289289289289289289287286287287288286287287287287286286286286287287286286285285285285285285285285285285285286 297297299299296297296294290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293293292291290289289289289289288288287287287287287286286286286286287287287287288288289290290290290291292292293293293293294293294294294294293295295295294294293294294294294294295294295296296297297296297296296296296296296295296296296296296296296296296296297298298297297298297297298300301299300298300300300301300300300300300299297294295294290999999999999999999999300299299299298298299301301301301300301301302301301302296297297297296298306999294295298300302303304303303303304303304304305306306306306306306306305308307308307307307307308307307307308308307308308307306307306307307307308308308308306306306306305305306306307308308307307307306307307308307307307306306306307307307307307308307308308308308308308309309309309309308307306306306307307307307306306307306304306306305306306306306305305305307306307307308308308309308309309308309308308308307306307306307308309309310311310310310311311311310310310310310310310310309310310310309309309310310310310310310310311310310310311311310310311312312312311311311311311311311311311311311310310310309310309309309309309310311310310310310310310310311311311311310311311310311311311311311311311310310310310311311310310311311311311310311310311311311310311311310310310310309310310310309309310309309309309309308308308308308308308308308308308308308307307307306307307307306306306306306306305305306305305305305305306306305305305305305305305304304305305304305305305304304304304304304304303304303303303303302302302302302302302302302302302302302302302301301301301301301300301300300300300301300300301300300300300299299299299299299299298298298298298298299298299299299299298299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299298298298299297297297297297296295297297297297296296296296296296296296296296296296295295295295294294294294294295294295294294294293293293293293293293292292291292292291291290290289288287290289289289289289289289289289288289289289288288288289290291290289289288289289289290290290289289289288289289289288289289288288287287287287287287287287287287287286286286286286286286286285285285285285285285285285285286285 296297302301292293292292293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301294293292291290290289289289289288288288288288287288288287286287286286286286287287287288288289289289290291292292293292291293293293294293293293294294294294294293293293294295294294296294296297296297297296296296296296297297296295296296296296296296296296296296297298298297298298297297299300302301302301301301301301300300299299299298297295294293289999999999999999999999300300299298299298299300301300300300301301302302302301296298297296296999999999291292294299302302303302301302303303304304304306305306305305305306307306307307307307307307307307307307307307307307307308307307306307307307307307307307306306306306306306306306307308306307307307307307307307307307306307308307307308307307307308307308308307308309308308308309308309308307306306306307306307307308306306305304305305305305306306306305305306306306307308307307308308308308308307308306307307307306306306307308309309310311310311311311311311311311311311310310310309309309310309310309309309310310310309310310310310310310310311311311311311311311311311311311311310310310311310310310310310310310310310309310309309310310310311310309310310310310311311311311311311310311311311311310310310310310311311311311310310310310311311311310310311310310310311311310310310310310310310309309310310310309309309308308309308308308307308307307307308307307307307306306306306306306307306306306306305306306306305305305305306306305305305305305305305305305304304305305304304304304304303303303303303303303302302302302302302302302302302302302302302302301301301301301300301300299300300300300299300300300300300300299299299299299299299299298298298298299298298299299298298299299298299299298299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299298298298297298297297295296297297297297296297297296296296296296296296295295295295295295294294294294295295294294294293293294294293293293293293292292291292292291291290290289289289289290289289290289288288289289288289288288289289289288290290290289289289289290289289290291289289289289289289289289288290289289289288288288287287287287287287287287286286286286286286286286286285285285285286286286285285285285 301305294294294294294292292999295296299999999999291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307305292293292291290290289289289289288288288288288288288288288288288288287287287287287288288288288289289290290290291291292292292293293293292293294294294294294294294293293293294294294295295296295296298297297296296296296297295296295295296296296296296296297296296297298298298298298298298300300301302302302301301302301301301300299298298297297296295294294999999999999999999299300299300299297297299300299299301300302301302300300299299298295295293999999288287287298300301301300299300301302304304303304305306304306305307307306307307307308306307307307307307307307307307307308308307306307307307307307308307306306306306307306306307307307307307308308309308308307307307306308308307308308308307307307308308308308309308309308308309308308308307306307306306306307307307306307306306304304305305305305305306306306306306307307307308307307308308308306306306306306307307306307307308309309309310310311311311311311311311311311310310309309309309309309309308309309309310310310309310310310310310310311311311311311311311310311310311310310311310310310310310310310310310310310310310309309310309309310309309309309310310310310310311310311310310310310310310310310310310311310310311310310310310310310310310310311310311310310310310310311311311310310310309310309309309309309309309308308308307307308308307307307306306306306306307306307307306306306306306306306306306306305306306305305305306305305305305305305305305305304305305305305304304304304304303303303303303302302302302302302302302302302302302302302301301301301301301301300300299300300300300299300300300300300300299299299299299299299299298298298298298298298298298298298298298298298298299298298299299299299299299298299298299299299299299299299299299299299299299299299299299299299299299299299299298299298298298299298298298297296297297297297297296297297297297296296296295296296295295295295295294294294295295295294294294294294294293293294294293293293292292292292292292291292291289289290290289289290292291289289289290289289289289289289289289289290289290288288289289290289290289289290289290289289290289289289289288289288289287287287286287287287287286286287287286286286286286286286286286286285285285285285285285285 301302293294295294294294289290293291292291292292292289289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303300295293292291291290290289289289289288289288288288287288288288288288288288288288287288288288289289289290290290290291291291292292293293293294294294294294293294293293293293294294295295296296296297296296297297295295296296295295295296296296296296296296297297297296298297298297299299299299299299300301301300301301301300300300299299298298297296296295294999999999999999999298300299299299999298297296299299301300301302300299300298298300999295294291999286284296297298300302302298999300300302303303303305305304305305306306307306306306307307307307307307307306307307307306307308308308308308308307307307306306306305306306307307307308308308307308308309309308307307306306307306306307309308308307308308308309310309308309309308308309309307307307307306307306306306307307307306306305304304305304304304304305306306307307307307308308308308308307306305306306307307306306307307307308309308308309310311311311311311312311310310309309309309308308309309309308309309309310310309310310310310310310311311311310310310311311310311310310310311310310310309310309310309310309310310310310309311309310309309309310310310310310310310311310310310310310310310310310310310310310310311310310310310310310311310310310311311311310310309311311311311310310310309310310309308309308309308307308307308307307308307307307306307307306306306306306306306306306306306306306306306306306306306305305305305305306305305305305305305305305305305305305305304304304303303303303303303303302303302302302302302301302302301301302302301301301301300300300301300300299300300300300299300299300299299299299299299299299299298299298298298298298298298298298298298298298298298298298299299299299298299298298298298298298299299299299299299299299299299299299299299299299299299299299299299298299299298298298298299298297297297297297297297297297296297297296296295295295295295295295295295294294294295295294294294294294294294293293293293292293293292292292292292292292291291290290291290290291290291291291290290289290289288289289289289289290289288289289288289290290290290290290290289289289290290288288289288289289289287287288287287288287287287286287287287286286286286286286286286286286285285285285285285285285 297298294296295293293293291290291292291291290290290287291284287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295294292292291291290290290289289289288289288288287287287287287288288288288288288289289289289289290290290290290290291291292292292293293294294294293293293293293293293294294294295295296295295297298297296295296295295296296295295295296295295296296296296297297297297296298298299299298298299299300301300299300300301300301301299297299299297296297296296294999999999999296296300300299297999297298300298999301299301300299298300999999299298999295289284284284999999999999999999999999999999300302302304304304304305305305305305305306305306306306307307307307306307307306307307307307307307307307308307306305306305306306307307307308309309308307307307308308308307307307306306307307307307308307307308308309309309309308309308308308307308307307307306307306306306307307307307305305306304304304304303304305305306306307307307307308307308308307306305305306305306306306305307307307308308308308308309310310311310310309309309309309309309308308308309308309308309309309309309309309310310310310310310310311310310310310310309309310309309310309309309309309309309310310311309309310309309309309309309309309310310310311310310310310311309309309309309309309310310310310310310310310310310311310310310311311310311310310310310309310309310310309309310310310309308308309309309308308307307307307307307307307307306307306306306306306306306307306307307306305306306306306306306306305305305305305306305305305305304304305304304304305305304304304304304303303303303303303302302302302302302302302301302302301301301301301301301301300300300300300300299300300300300300299299299299299299299299299299299298299299298298298298298298298298298298298298298298298298298299298298298298298298298299299299299299299299299299299299299299299299299299299299299299299299298298298298298298298298298297297297297297297297296297297297296297297296295295296296295295295295295295294294294294295294294294294293293293293293293293293294293293293292292293292291291291290291291291291291291291291290290290290290289290289290291290291290290290289289289289290290290290291291290290289289289289289289289289289289288288288288288288287288287287287287287286286286287286286286286286286286286286285285285285285285 299297297294294295292292293292291291290291289292291290286287288290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301296295293293293292291291290290290289289289289289288287287287287288287287288288288288288289289289290290291290291291291292292292292293293293293294294293294294294294294294295295295294295295294296297297297296295295296295295296295294295295295295296296296296297297297298297297297297297298298299300299299300300299299299299299299297297296297299298297297296297298999999999296298299298298999999299299299300999999298298299299298299999999999298297292291289286293999999999999999999999999999999299300302303303304304304304305305305305306305306305305305305306306307306306306307307307307307307306307307307306305304305306305305306307307308307307307307307307307307307307306306306306307308307307307308308308309309309309308309308308307307307307306307306307306306306307306306307306306305305306305305304304305305306306306307308307307307307307306306305305305306306306306306307306307308308308308308309310310309309309309309309308308308308308308309308309309309308309309309309309309309310310310311310311310310311310310310308309310309309309309309309309310309309310311310309310309309309309309309309309310310310311310310310310311310310309309309309310309309310310310309310310310310310310310310311311311310310310311310309309310310310310309309309309309309309308308309309308308307307307308308307307307307307306306306306306306306306307307306307306306305306306305305305305305305305305305305305305305304305304304304304304304305304304304304304303303303303303303302302302302302302302301301301302301301301300301301301301300300300299300300300300300300300300299299299299299299299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298299299299299299299299299299299299299299299299298299299299299298298299298298298298298298297298297298297297297297297297296296296295296296296296296295295295295295294294294295295294294293293293293293293293293293294294293293293293292293292291291291291292291291290290291291290290290290290290290290289291291290290289289290289289289289290290290290290290290290289289289289289288289289289288288288288288288287287287287287288286286285286287287286286286286287286286286286286285285285285285 294296296295294292293293292292291293292290287288288289289288289288290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299296295292292293292291291291290290289289289289289289288288287287287287287288288288288289289289289289289289290290290291291291292292293293293293293294294294295294294295295295295294294295294296295296297297297296296296296295296295295295295295295295296296296296296296298298297297296297298298298299300299300299299299299301300999298297297297299300299298299299301999999295298300300300299299299299299300299298297296297296299299999999999999999296290291292291294299999999999999999999999999999999298300302304304305304304304304305305305305305305305306305305306306306306306307306306307307307306307306307307306305306306306306306307307307305307307307306306305305306306306307307306307308307307307307308309309309308309309309307307308307307307307306305307305305306306306306306305305306306305305304305304304304305305304306306306307308305306305304305305305305305306305305306306306306306307307308308308308309309308308308308308308307307307307308308308308308309308308308309309310310310310309310311311310310310310310310309309309309308308308309309309309309309309309309309309309310309310309310310310309310310311310309310310309310309309309309309309309309309310309310310310310310310310309310310310310310310309309310309309309310309309308309308309309309308308309308308308308307308308308308307307307307306306306306306306306306306307306306306306306306306305305305305305305304305304305305305305304304304304304304303304304304303304303303303303302302302301301302301301301301302302301301301302301301301301301301301300300300300300300299300300300300300300300299299300299299299299299299298298298298298298299299298298298298298298298298298298298298298298299298298298299299298298299299299299299299299299299299299299299299299299299299299299299298298299298298298298298298298298297297297297297297297296296296296296296295296295295296296295295295295295294294294294294294295294293293293293293293294293294293293293293292293293292291292291290290291290291291292291290290291290290291290290290291290291290290290290289290289289290290291291291290290290290289289289289289288289289288288288288288288288288288287286287287286287287286287286287287286287287286286286286286286285285285 294294295293292292294294293292292291290290289291290291291287289290291291288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296295293292292292291291291290290290290290289289289288288288287287287287287288288288289289289289289289290290290291291291291292292292293293294294295294295295295294295296295295294294295295295295295296296296296297296296295294295295295295294295296295295294296295295297298297297297298298298299299300299300299299298299298298999999299297298300300301300300300300299299296298298299298297297296296297299299299296297297297298299999999303304999999999290291290292298999999999999999999999999999999999301302303304305305305304305305305305305304304306305305306306305306306307307307307305306305306306306306306306305306306306307306306306307307307307306306306307306307306306306307307306307307307308308308308309308308309309308308308307306307306306307307306306306306307306306306305306306306305305305305304304305305305305306306306307307306305306305305306305305305305304305306305306306306307307307308308308308307308308308307307307308307307308308309309308308309309309309309309309309309309309310310310310310309310309309309309309309309309308308309309309309309308308309309309309310310310310310310310310310310310310310310310310310309309309309309310310310309310309310310310310310310310310309310309310310310310310310309308308308308308308308308309309308308308309308308308309308308308308308307307307307306306306306306306306306306306306306306306306306306306306306305305305305304304305305305305305305304305304304304304304304304303303303303303303303302302302302301301301301301302302301301301301301301301301300300301300300300300300300300300300300300300300299300299299299299299299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298299299299299299299299299299299299299299299299299299299298298298298298298298298298298298297297297297297297297297297296296296296296296296295295295295295296296295295295294295294294294294294294294294293293293294294294293293293293293292292292292292292291291291290290291290291292290290290290290290290290290290290290290289289290290289291289290290291291291290290290290290289289290289289289289289288289289288288288289288287287287287288288287287286287287287287287287287286286286287286286286286285 295295295296293293293292290290292290291292290288290291289290289289291999293294291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297294293292292292291291290290291290290290289289288288288288287287287287288289289288289289289290289290290290290290291291292292293293293294294295295295295295296295296295295294295295295295295295295295296296296296296296295295295295295295295294295295295295295295296297297297297297298298298298299299299299298298299299299296300999999999298299300301300301301301299301299298298297296296294295296297298298298298298298299299299999302302302999999999999290292295297300303999999999999999999999999999302302304304305305304305304305304305305304303304305304305305305306305305306305307306305306305306306307306306307307307306305305306307307307307307306307307307306306306306306306307306307307308308308308308308308308308308308308307307306306307307306307307306306306306305306306306306306306305304305304304304305305305305305306305305306306306305305306306305305305305306306306306306306306307307307307308308308307307307307307307307307307307308308308309308308308308309309309309309309309309309310310310310309309309309309309308308308309309309309309310309308309308309309309310310310309310310310310310310310310310310310310309310310309309309309309310310310310310311311310310310310310310310309310310309310310309310309309308308308307307308308309310309309309309308309308308308308308308308307307307307307306306306306306306306306306306306306306306306306306306306306305305305305305304305304304305304304304304304304303303303304303303303303303302302302302301301301301301301301301301301301301301301301301301301300300300300300300300299299300300300300300299299299299299299299299298298298298298298298298298298298298298298298297297298298298298298298298298298298298298298298298298299299299299299299299299299299299299299299299299299299299298298298298298298298298298299298298297298297297297297297297296296295295295295296296295295295295295295295294295295294294294294294294294294294293294294294293294293293293292292292292292292292292292291291290290290290290290290290290290290290289290290290290289289290290290290291290290291291291291291290290290290290290290290290289289289289289289289289289289289288288288287288288287287286286287287287287287287286286286286286286286286289 294293293293291292292290292292291291291290289289291291290291289285282284291289292294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295296294293292293292291291290290291291291290290289289289289288288287288288288289289289289290290290290290290290290291292292292293292293294294295296296296296296295295296295295296295296295295295296295295296296297297296296297296296295294295294295294295296296296297297296297296298297298298298299299298299299300300300299301299300305302303299298299301300301301300299298297298294298297298293294296296297298299299300300300298298301302303303302999999999292295297297298300302999999999999999999999301301303304304304305305305304304304304304305304305305306305305305305306305305306306306306305306306305306306307307306306306306307307306306305307307307306307307307306307307307307307307307308308307308307307308308309307308308308306307307306306307307306306306307306305305306306305306306306305304304304303303304304304304304304305304305306306305307306306305305305305306305305306306306305306306307307307308308307307307307306306307307308307309308308309308308308308308309309309309309309309310310310310310309309309309308308308308309309308308309309309308309309309309309309309310310310310310311310310310310310309309310310310311311310309308309309310310310310310310310310310310311310310310310310310310310310310309308308307308308308307308309309309309309309308308308308308309309309308308307307307307306307306306306306306305306305306306305305305305305305306306305305305305305305304304304304304304304304304303303304304304304304304303303303303302302302302302301301302301302301302301301301301301301301301301301300300300300300300300300300300300300300300299299299299299299299298298298298298298298298298298297298298298298298297298297298298298298298298298298298298298298298298299299299299299299299299299299299299299299299299299299298298298298298298297298298298298298298297297298298297297296296296296295295295296296296295295295295295295295295295295295294294294294294294294294294295294294294294294293293292292292292292292292292292291292291291290291291291291291291291291291291291290291290290290290290290291291291291291291291291291291291291290290290290290290289289289289289289289288288288289287287287287287287287287287287287287287287286287286286286286286285285286289 292292292292291290290290289287289290290291290288291294293292290288287287288286288290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302296297295293291291291291290290290290291291290290290290289289289288288288289289289289289290290290290291291290291291292292292293292293293294295295296295296296297296296296296296296296296297296297297297296296297297297296297296297297297296296294295295296297297298298298297297297298297299298298298299300301301299300299299300301999301302301300300300301300301300300300299299298298298297296999293292291296298299299300300300298298301302303301301300301999294295298297298299301303999999999999999999302302303304304304305305304305305305305305305304304305305305305306305305305306306305305305305306306306306306306306306305305306306306307306306305306306306307307307307307307307307307307307307307307308307308308307308308308308307306306306307306307307306307306306306306306306306305303306305304305304303303303303304304304304305304305305306306307307306306305305305305306306306306306306305306306306307307307307307307307307307307307307308308308308308308308309309309309308309309310309309309310309310310309309308309309309309308309309309309309309309308309309309309308309309310310310310310310310310310310310310310310310310310310310310309308309309310310309310309310310310310311311310310310310310310310309309309309308307308308308307307308308308308309309309309309309308309309308308308307307306306306307307306306306306306305305306306305305306305305305305305305306306305305305305304304304304304304304304304304303303304303304304304303303303303303302302302301302302302302302301301301301301301301301300301301301300300300300300300300300299300300300300300299299299299299299299298298298298298298298298298298298297298298298298298298298298298298298298298298298298298298298298299299299299299299299299299299300299299299299299299299299298298298298298298298298298298298298298297298297297296296296296296296295296296295296296295295296295295295295295295295295294294294294293293294294294294294294294294294294292293292292292292293292292292292292291292291291291291291292291291291291291291291291291290290290291291291291291291292292292292291291291291290290290290290290290290289289289289288288289288288288287288287287287288288287287287287287287286286287287287286287286286286288 291291291291289291290290288289289290289289291290290293292290290289286289285289286288288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294293291290290291290290290290290290291290290290290290289289289289289289289289290289290290291291291291291291292292292292292293294295295296296296297297297297297297296297296297297296296297297296296297298297296296298297297296298295296296296295296297297298298299298297297298298297298297299297301300300300300301302301300999307302301302300300300301301300299299299299299298298298297297999999999294296298299301301301300301301303303300298298298298296297298299298299302303303301999999999999302302303304304305305305304304305305306305306306306305307305306306305305305305305305304305305306306306305305306306305306306307307306306306306306305306306307307307307307307307308307308308308308307307307307307308307308308308306307308307307306306307307308307307307307307306305305305305305304304303303304303304304304304305306306306305305306306307306306306306306306306306306306306306306306306306306306306306307307306307306307307307308308309308309309309309309309309308309310310309309310311310310310310310310311309309309308308309309309309309308308308309309309309309309310310310310310310310310310310310310310310310310310310310309309308309309310310310310310310311310311311310311311311310310310311310309308309308309308308308308307308308309309308309309309309309309308308307307308307307307307306306306306306305305305306306306306305305305305305305305305306306305305305305304304304304305305304304304305304304304304304305304304304303303303303302302302302302302302302302302301301301301301301301301301301301300300300300300300300300300300300300300300299299299299299299299298299299298298298298298298298298298298298298298298297298298297298298298298298298298298298298299299299299299299299299299299299299299299299299299299299298298298298298298298297297298298298298298298297297296296296296296296295296296296296296296296296295296296295295295295295295294294294294294293294295295294294294294294294294293293293294293293293293293292292292293292292292291292292292292292292292292292291291291290290290291291291291292292293293292292291291291291291291290290290290290290290289288288287288288288288287287287287287288288288287287287288287287287287286286287287286286287286288 288289290289289290289289289289292291289291291292293294294292293292290286287999285289285999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290293293292291290290291291290290291291291291291291291291290290290290290290289290290290290291292292292292292292292292292292292293294295295296296297296296297297297297297297297297297297297296296296296297296296296296296298297297296296295296296297296297297297298298299298298298298298299297299300300300302302301302302303302302301306304303301300300300301301300299298300300299298300299298297293999999999299300300302302302302302302303302299297297297298298298299301999300301303301301999999999999302302303304304304304304304305305306305306306306306306306305305305305306305305305304305304304305305306305305306305305306305306306306306306306306306306307307306306306306307307307308307309308308307307308308308308308307307308307307307307307307306305306308307306307306306307305306304305305305305304303304304304305305305305306306306306307306306307307307307306306306306306306306306306306305306306306306306307306306306306307308308308309308309309309310310310310309309310309309310309310310310309310310311310310309309309309309309310309309310309308308309309309309310309310309310310310311311310310310309310310310310309310310310310310309309309310310310310310310310310310311311311310311311310310310310309309309309309308308309308308308308308309309308308309309309309308308308307308308307307307307306306306306306306305305306306306306305306305305305305305305305305305305304305305304305305304305305304304304305304304304304304304304304304303303303303303302302302302302302302302302301301301301301301301301301301300300300300300300300300300300300300300300300299299299299299299299298298298298298298298298298298298299299298298300299297298298297297298298298298298298298299299299299299299299299299299299299299299299299299301300299297298298298298298297297297298297298297297297297297296296296297296296296296296296296296296296297297296297297297296296296296296295295295294295295295295296294294294294294294293293293294293294294293293293292293292292292292292292292291292292292292291292292291291291291291291291291290291292292292293292292292292292292291291291291290290289289289289289288288288288288287287288288288288288288287288288288288288287288287287287287287286285285288 285287288288290288288289291289290291291290289290292291290291290290289290289290287289289287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287289290291290289289290290292292292292292292291292292292292291291291291291291290291291291291292292293292292292292292292292292292293295296296297297297297296297297297297297297297297297297298296296296295296296295296296298299298297297297297297297297298299299297299299299300298299300300298297300299299300300301301302302301303300302306303301301300299299300301300299299300300299300299299299298295999999999999297300999303304303302300300300299298296298297295297300302999999301304301999999999999999302301302304304304304305305305305306306306306306306306306306306306305305305305305304304305305304304305306305306305306306306306306306307307307307306307307307307307307306306307307307308307308308307308308308309308307306306305308307307306307306307307305306307307308307307307306306305306306306306305305305304306305305306305306306306306306305306306306306306306306306307306306306306305305306306305305306306306305307306306307307307308308309310310309309310309309310310310310310309310310311310310310310311311309310309309309310309309309309308308308309309309309310310310310310310310310311310310310310311310310310310310310310310310310310311310309310310310310310310310310310310310310311310310310310309309309308308308308309308308308308308308309309309309309309309309308308308307308307307307307307307306307307306306306306306305305306306305305305305304305305305305305304305305305305305305305305305304304305304304304304304305304304304303303303303303302302302302302302302302302302302301301302301301301302301301301301301301300300300300300300300300300300299299299299299299299299298298298299298298298298298298298299298298299298297299297297297298298298298298298298299299299299298299299299299299299299299299299299299299299299299298298298297298297297297298297297297297298297297296297296296296297296296296297296296296296296297297296297296297296297297296296296296295296295295295295295295295295293294294294293293294294293293293293293293293293292292292292292292291292292292292291292291292292292291291291291292292291291291292292292292292292293292291291291291290290290289289288289289289289288287288288288288288288287288287288288287287287287287287287286287287286285286288 284288290290291289290289291293291294293293292291291291291292291290291291289288289290289288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283286288288288288287288290292294294293293293292292292292292292292291291291292292293293292293292293293293293293293293292292292292292294295295296297297297297297297297298297298299298298299298297297297297297298297298295296297297297298298298298296297298299299299299299299300299299299299299299299300300300301299300301301300299305304302303302302300300299300299299300300300300299297299299298298295294999999999999999999999999999999299300300298297296296298296296297301999999301302304300999999999999999999301302303304304304305305305307306307307307307306306306305305306305305305305305304305305305304305305305305306306306306306307306306307306307307307308306307307307306307307307306307308308308308308309308307308308307307307306305306307307307307307308307307307307307306307307307305306306306307306305305305305306306306306306307306307306307307306307307306306306307307306307306306306306306306306306306306306306307307306307307308307308308309309309310309310309309310311311311311309310310310310310310310310311310310310310309310310309308308308309308309309309309310309310309309310310310310310310310310310310310310310310310310310310310311311311310311310310310310309310310310310309310311311311310309309309310309309308308308308307308309309308309309309309309309310309309309309308308307307308307307306306306307306306306306305305306306305305305305305305304305305305305305305305305305305305305306305304304304304304304304304304304304304303303303303303303302302302302302302302302302301301301301301301302302301301301301301301301300300300300300300300300300299299299299299298299299298298299299298298299298298298298298298298299298300299297297297298297298298298298298299299299299299299299299299299299299299299299299299299299299298298298298298298298297298297297297298298297296297297297297296297296296296296296296296296297296297296296297297297297297297297296296296296296295295296295295295294294294294294295294294293293294293293294293293293293292291292292292292292292292292292293292292292292292291291291291292292291291292291292292292292292293292292291291291290290289289289289288288289288288287288287288288287287288287287288287287287287287287287287286286287286286286287 283288290291291291292292291293294293293293292292292290289293292291288291288288289289288291287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281284285286288290291292292293294294293293293292292292292292292291291291291292291291292292292293293294294293293293292292293293293294295295296296296297297298297297297298298298299299298298297298297297297300298297298297299300298298299299298298298299299299299299300300299299298298299299299300299299299300299299300301301299300302303302302302301300299301299299301301300300300300298300299298299295294999999999999999999999999999999300299297297297296295297297296298302999999300300301999999999999999999999999302303304304303304305306306306306307307306306306306306305305305305305305305305304304304304305305306306306306306306307307307306306307307308308307307306306306307307307307307307308308308308308307308308307308307307307306305306306306307307307308306307306306306307306306305306306306306306306306306305306306306305306306306305306307306306306307306306306307307307307307306306306306305304305306306306306306306306306307307307308308309310310310310310311311310310310310311311309310310309310310310310311310310309309309309310309309309309309307310310309309310309310310310309310310310309310310310310310310310310310309310310310310310310310311310311311310310310309310310309310309309310310309309309309309309309309309308308308309308308309308308309308309309309309309310309309309308308307307306307307306306306306306306306306306305305305305305305305305304305305305305305305305305305305305305305305304304304304303304303304304304304303303303303302303303303302302302302302302302301301301301301301301301301301300301301301301300300300300300300300299300300299299299299299299299299299299298298298298298298298298298298298298298298299298297297298298298298298298298299299299299299299299299299299299299299299299299299299299299299299298298298298297298298297297297297298298297296297297297297297296296296297296296296296296296296296296296297297297296297297297296295296296295295295295295295294294294294292293294293293293294293293293293292293293292292292292292291292292292292292292293292292292292291291291291292292292291291292292292292291292292292292292292291291291290289289289289289288288287288288287288288287287288287287288288287288288287288288287287287287287287287287288 284290291290290291291292292292292293292293293292293292291293291291291290289287288288287290290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277281282284286290292294293294294294294295295294294294293293293293292292293292292292292293293293293293293294293293293293293293293293293293293294295295296296297297297297298297298298299299299298298298296297297297299298298296295296297298298296298297296297298297297297298298298297297297297299299299299299299298299299299299301999297299301301301300301300299300300299299298299300300299300299298297298295294999999999999999999999999999999999299297297298298298295297297298299301301999999999999999999304305999999999999302303304304304305305305306306306305306307306306306306305305305305306306306306305305305305305305305306306306306306307307307307307307307307307307306306306306306307307307307307308307308308308307307306303308308307306306306305306306307306308306306306306306307306307306306306306305306306305305305305305306306305305306306306306306307306306307307306307307306307307306306305306306305305306305305305306306306305306307307307307307308308309311310310310309308308310310309309309309309310310309310310310310310309309309309309309309309309307308309310308309309309309310310310310310310310310311310310310311310310310310310310310310311310310310311311311311310309308310309308309309309307307308308308309308309309309309309309308308309308309308309308309308308309309309309309309309308308307307307306307306306307306306306306305305305305305305305305305305305305305305305304305305305305304305305305305305304304304303303303303303303303303303303303303303303303302302302302302302301301301301301301301301301301301301300301301301300300301300300300300299299300299299299299298299298298298298298298298298298298298298298298298298298298297297297297297297298298298298298298299299298298299299299299299299299299299299298298298298297298298297297297297297297297296296296296297296297295296296296295295295295295295295296296295295296296296296296296296296296296296295295296295296295295295296296295295294296293292292292292294293293293292292293293293293293292292292292292292292292292292292292292292292292291291291291292291292292291292292292292291291293292292292292291291290290289289289289289289288288288288288287287287287287288287287287288288288287287288288288287287288287287287289 289291293291290290291292293292293293294294295292292293292293291291289289288288287288289290290999999999999290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279279280283285288292294294294294294294294295295295294294293293293293293292293293293293293292293293293293293293294294294294294293293293293294293293294295295296296297298298298298298298299299299298298298297298297298297297297297295296297296297296296296295294296296297297297297297297297297297297299300300300299301299299299299299300999299299300299301300300299300299299298298298298300299297297297297297296295293999999999999999999999999999999297296296297297298301300297297299300298301999999999999999999301301999999999999309302304304304305305305305305305306305306305305305305305304304305305306306305305304305305305305305304305305305306307307307307307307306307307306306306306306306307307307307307307307307307307307306306306306306306306306307306305306306307306306306307306306305305306306306306305305305305305305304304305305305305305306306306305306306306306306307306306306306306306306306305305305305305306305306305305306306305306307306308308307309309309310309310311309309309309309309310309309310310311310311310310310309310310309310309309308310310308310309309309310310309310310310310310311310310311311310310310310310310310310310310310310310310309310310310310310310310309310309309309309309309309309309308309309309309309310309309309309309309309308310309308309309309309309309309309308308307307307306307307306306306306306306305305305305305305305305305304304305305305305305304304304304304304304304304304304303303304303303303303303303303303303303302302302302302302302302301301301301301300300301300300300300300300300300300300300299299299299299299299299299299299299298298298298298298298298298298298298298298298298298298298298297297298297297297297297297298298298298298299298298298298299298299299299299299299299298298298298298298298298297297298297297297297297297296296296296296296296296296296296296296296296296296296296296297297296297297296296296296296297297296296296296296295296295296295294294293293292293293293293293293292293294294293293292292293293293293293292292292293292292291291292291291291291291291292292292291292292292292291292292291292292292292291290290289289289289289288288287288288288288288287288288287287288288288288288288288288288288288288288287287287290 291293293291292291292293293293292293293293292293292293292291289292292292290288289289291290284999999999294297290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277281286287287290293296296296295295294294294294295295294294294294294294293293293294294294293294293293294294294294295295294294294294293293294294294293294294295296296297297297296298298298298298298298298298298297297297297297297297296296296296296295296296295294297295296296297297297297297297297298298299299299299299300298298298298298999299300300300300300300300300299299299299299299299298296297296297295296294294292999999999999999999999999297297296297297297297299298296999299301301302999999999999999999302301301301302302304303303304304304305305305305305305306306306305306306306305305305306306306305305305305306305305305305305306306307307307307307307307306307307307306307307306306307308308307307307306306307306305306306306306306306306306306306305306306305305305306305305305305305305305304304305305304305305304304305304304305304305306305305305306306305305306306306305305305306305305304304304305305305304304304305305305305305305305307307308307308307308309309309308308308308308308308310308309309310310310310309310309309309310309309308309308309309309309309309309309310309310310310310310310310310310310309309310310310309310309309309309309309309310309310310309309309309309309307310308308308309308308308308307308308309309309308309309308309309309309308307307308309309308308308308308307307307307306306306306305305306305305305305304304304304304304304304304304304304304304304305304304304304303304304304303303304303303303303303303303303303303303303303303302302302302302302302301301301301301300300300300300300300300300300300300300299299299299299299299299299299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298299298298298298298299299299299298299299299299298298298298298298298298298298297297298297297297296297296296296296296296296296297297296296296296296296296296297297296297296296296297297297297296297295295295295296296295296295294294293293293293294294293293293293293293293292293292292292293293293292293293293293293292292291291291291292291291291291291292292292292292292292292292292292292293291291291290290289289289289289288288288288288288288288288288288288289289289288288289288288288288288288288287287287287291 290291291291292292291291292292293293292293294294292292293291292291290292289290288287291290291999999999291298290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276282287289291292294295296296295295295295295295295295295295295294294294294294294293293294294294294294294295295295295295295295295295294294294294294294294294295296296297297297298297298298299299299298298298297297297297297297295297296296295296295295296296296295296296296296297297297297297298297297297298298299299299298298297297296297999999299301301299300300299299300299299301300299300300299299298296296296295294293999999999999999999999295295295295999999297296297297297296999300300302304999303302999999999302301301301301300300301303304304304305305305305305305305305305305305305305305305305306306306306306305306306306306306306306307307308306307306307307307307307307307307307307307307307307308307307307307307306306306306305306306306306306306306306307306306305305305305305305304305305305305304305304305304305305305305305304304304304304306305305305306306306306307307307306306306305305305304304305305305305305303304305305306306305305305306307308307307308308308309308308308309308307308308308308309309310310310309309309310309309309310309309309309309309309309309309309309310310310310310310310311310310311310311310310310309309310309309309309309309309309310310310309309308309308308307308308308307308309309308308308308308309309309309309309308309309309308309308308308309309308308308308307307307307307307306307306306305306305305305304304304305304304305304304305304304304305304304305304304304304304304303304304303303304303303303303303302303303303303303303303303303302302302302301301301300301301300300300300300300300300300300300300300299299299299299299299299299298298298298298298298298298298298298298299299299298298298299298298299298298298298298298298298298298298298298299299299299298299299299299299298298298299298299299299299299298298298298298298298298297297297297297297296297296296296295296297297297296296296296296297296296297296297297296296296296297296296296296296295295295296296296295294295294294293294293293293293293293293293293292292293292293293293293293293293293293293292292292291291291291291291291291291291291292291291292292292292292291291292291291291290289290289290289289288288287288288287288288288288288288288288288287288288288288288288288288287287287286287291 291292291292292292290292291291292293291292291294293292294292294293292294292292290287287288290291293295297298290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274275278282287290292293294295295295295295295295296295295295295295295294294294294294293293293293293293294294294295295295295295295295295294294294294294294294294294294295296297297297297298297297297298299298298298298297296296296296296295295295295294294295296296296296297296296296297297297297297296296297297298298298299299300298297296296296296298999301300301299299299299299299299299301299299297301301299298298297297296293292999999999999999999999292294294999999999999999294295295297999299301303305305304303999999999301302301301302300299298300303305305305305305305304305305305305305305305306306306306306307307306306306306306306306306307307307308307307307307307308307307307307307307307307307307307307307308307308307307306306306306305306306306306307306306306306306305305304304305305305305305304304304305305304305305306305305305305304304304304304304306306306306306305306306306305305305306305305304305304305305305305305304304306306306305305306306308307307307307307308308308309308308309310308309309309309310309311310309309309309309309309308309309310309309309309309309309309309309310310310310310310310310311310310310310310310309309309309309309309309310310309309309309309309309308308308308308308308308307307309308308307307308308308309309308309309309309309308308308307308308308308308308308307307307307307307307306306306305305305305305304304304304304304304304304305304304304304305305305305304304304305304304304303303303303303303303303303303302302302303303303303303303302302303302302301301301301301301300301300300300300300300300300300300299299299299299299298299298298299298298298298298298298299299298299299299299299299299299299298299299298299298299298298298298298298298298299299299299299299299299299298298298298299299298299299299299299299298298298298298298298298297298297297297296296296296296296296296296297297296296297296296296297296297296296296296296296296296296296296295295295295295295295295294294294294295293293293293293293293292293292292292293292292292293292293292293293293293293292292291291291291291291291291291291291291291291292291292292292291292291291290291290289289290290288288288288288288288288288288288288288288288288288288288288288288288288288288288287287287287290 293293292293293291292292292294292293293293291293291293294293294294293294293293291287288291291290293290293298290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277282287289291292294294294294295294295295295294295295295295295295295294294294293293293293293294293293294295295295295296296296295295295295294294294294294294294295295296296296296297297298298297297298299299298298297297296296295295295294294295295294294295296297296296296296296295296296296297296295296297297297297297298298299298296295294294293999999999300302299300299299298297298299301300300299299300300299298298297295295999999999999999999999292290292292999999999999999292293293999999299301302302303302300301999999302302302302301300299298299302304305305305305305305305305305306306306306305306306306307307307307306306306306306307307307306307307308307307307308307307307307307307307307307307308307307307307308308308307307306306305305306306306306306306306306306306305304304304304304304304303303303304305305305305306305305305305305305305304304304305305306306306305305305306306306305306306306305305305305305306306306305306306306306306306306306306307308307307307308308308308308308309309309309308309309309310309310309308309309309309309308308308310309309310309309309309309309310310310310310310311311310311311311311310310310310309310310309309309309310309309309309309310309309309309309308308308308308308308308307308308307307308308308308308309309309309308308309308308307308308307307308308308307307307308307307306306307306305305305305305304305304304304304304305304304304304304304305305305305304304304304304304304304303303303303303303303303303303303303303303303303303303302302302302302301301301301301300300300300300300300300300300300300300299299299299299299299299299299299299299298298298298298298298298299299299299299299299299299299299298298298298299298298298298298298298299298298298298298299299299299299299298298299299299298298299299298298299298298298298298298298297297297297297296296297296296296296297297296297296297296297297296296296296296296296295295295295295295295295295295295295295295295294294295293294293293294293292293293293292292292292292292292292292292293293292293294293292293292291292291291292291291291291291292291291291292292291292292292292292292291291291290291290290289289288288289288288288288288288288289288288288288289289289288288288288288289289288288287287287290 291292292292291289292291293292292293293292295294292293292293295294292294291289287289290291290290288289292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278280284287290292293294295294295295294295295296296295296295296296296295295295294294294293294293293293293293294295295295296296296296295296296295295295294294295295295295295295296296297298297298298298298298298298298297297296296296295295295295295295295295295296297297297296296294294295296295297296296296296296296296296297297297295295294293292292292999999999298298298299297298297296298298297297298299299299299299298297296295295295999999293294291999999291291999999999999999999291292292999999298299301300300300300299999999999301302301298299298298300302304304305304305304304304304304304305305305306306305306307306306306306306305307307306307307306306307307307307307307307307307307307307307307307307306307307307307307307307308306306306306305305305306306306306306306305305305305304304304304304304303304304304305304305306306305305305304305305304304304304304305304305306305305305306306305305305305304305305305305306305305306305306306306306306304305305306307307306307307307307308308308308308308308309309309309309309308308307308310309309308308309308308309309310310309310310310309309310310309311311311311311311311310310310310310310309309309308308309309309310309309309309310309309308308308308308308307308308308308307307307307307307308308308308308308309309309308307308308308308307307307307307307307307307307307307307307306306306305305305305305304304304304305304304304304304304304304304304304305304304304304304304304304303303303302303303303303302303303303303303303303303303303303302302302301300300301300300300300300300300299300300299299300300300299300299299299299299299299299299299299299298298298298298298299298298298299299299299299298298298298298299298298298298298299299299299298298298298298298298298298298298298298298298299298298298298298298298298299298298298298298298298297297297297296296296296295297297297297297297296296296297296296296296296296296295295296295295295296296295295295296295295295295295294295294294293294294293293293293293293293293293292293292292293293293293293293293293293293293292293292292292291291291292292292291291291292292292292291291293293292292291291290291291290289289289290289288289288289289289289289288289289288289289288289288288288288288288289289288288287291 293292293292293293292292293293293293293294292293295293292295295292294293291286292291289291286294284287294291999999297292999999999999999999999999999999999999999999999999999999999999999999999999999999999999288999999999999999999999279280282285288290292294294295295295295295294295296296296296296296296296296296295295294294294293294294294293294294295295296296296297296296297297296295295295294295295295295295295295296297298298298298298298299299299298298297297297296296296295296295295296295296296295296295295295294294295296296297297296296296296296296296296296296296295294293293294294292999999999999299999999298297297298298299299299298298297299300299297297296296295295999293292292291999999290291999999999999999999291291999999999298299300299299299299299999999999999301298296298299300301303304304304304304304303303304304304304304305305306306306306306306306307306306306306306306306306306307307307307307307307307307307307307307307307306306306306306307307306306306306305305306305305306305305305306305305304304304304303304304304304304304303303304304304305305305304304304304304303304304304303304304304304305304305304305305305304304304304304304304304305305305305305305305305305306306305305307307306305306306306307306307308308307308308308308308309308308308308308308309309308308308308308309309309308310309309309310309309310310310310310310310310310310310309309309309308308308308308309309309309309309309309308309307307308308307308308308308307307307307307307307307308308308308308308308308308309309309307307307307307307307307307307307306307306307307307307307307306306305305304304304304304304304304303304304304304304304304304304305305304304304304304304304303303303303302302303303303302303303303303303303303303303303303303302302301300300301300300300300300300299299299299299299300300299299299299299299299299299299299299299299299298298298298298299298298298298298298298299299299298299298299299299299299298298299299299298299298298299299299299299299298298298298298298298299299298298298298299299299299298299299299298298298297297297297297297296297297297297298298297297297297297297297296296296296296296296296296296296296296295295295295295295295296295294295294294294294294294293293293293293293293293293293293293293293293293293293293293293293293292292291291291291291291291291291291291291292291291291292292293292292291292291291290291290290290289289289289288289289289289289288288289288288289288289288289288288288288288288289288288287292 293291292293294293293294293295292296295294294293294290292292292292292293288291290289290295293295285286294293294296295292293294294294999999999999999999999999999999999999999999999999999999999999999999999999999288291999999287285282284285287289291292294295295295295295296295295295296296296296296296295295295295295294293293293293293294294294294294295295296296296296296296297297296296295295294294295295295295295295297297297298297298298298298298299298298298297296296296296296295295296296295297296296297296295295296295296296296298298297296296297295297296296296296294294294293293293294999999999999299300299299299299297298299299298299299298297299298299298297295296295999294294295293293999293292999999999999999999291291290999999999298299300300300299300999999999999999300298293291298301302303304304304305304304303304304304304303303304305305305306306306307306307307306306306306307306306307307307307307307307307307308307306307307307306306306306306307307307307306305306306305305305305305305305305305305305304305304304303304305305304304304303303304304304304305303304304303304304305304304303303303304305305305305305305305305304304304304304304304304304304305305305304304304305306305304304306305306305305306306306306307307307307307307307308308308309308308308308308308308308308308307308308309309309309310310309309310310310310310310310310310310310309309309309309309309309309308309309309309309309309309309308308308308308308308308308308308307308307307307307308308308308308308308308308308308308309309308308306307307306307307307307307307307306307307307307307307307307305306306305305305305305304304303303304304304304304304304304305305304304304304304304303303303303303303302303302303303302303303303303303302302302303303303303302302301301301301301300301301300300300299299299299300300300300300300299299299299299299300299300299299299299299298299299299299299299299299299299299300300300300299299299299299299299299299299299299299299299299299299299299299299298298298298298298298299299299299299299299299299299299299299298298298298298298298297297297297297297297297297297297297297297297297296296296296296296296296295295295295295295294295294295295295295295294294294294294294294293293293293293292293293293292292293292292292293292293292292293293292292292292291291292292291291291291291291291292292291291291291292292291291291291291291291292291291290290290289289289289289289289289288289289289289289289289289289289289289289289288287288287288291 292292293293293295296291294293291293294293293292293291292292293293292291286292291291295296296295289286290292293295294999999292294294295999999999999999999999999999999999999999999999999999999999999999999999289289288287288287286285287288289291292293294295295295295296296296296296296296296296296296296296295294295293293293294293293293294293293294294295295295296297296297297297297296296295295295295295295295296296296296297298297297298298297297297297297297296296295296296295295295296296295296296297296296295295295295296297297296296297297296297296296295296296295294293292292291999999999999298297298298298299298298298297299298297298298298298298298297297297296296295294295296294294293292293294296999999999999292291291999999999999298299300301300300299298999999999999297299295292300301302303303304305304304304304303303303303304304305305305306306306306306306307307307307307307307307307307307307307307306307307307307307307306306306306306306306306306306307306306306306305305305305305305305305304305305305304305304303304304304304305305304304304305305305305305304304305304304304304304304304304304305305305306305305305305305305304305304304304304304304304305305305304304305305305305305305306306306306306306306306307307307307308308307307308308308309308308308308309308308308309308308309309308310310310309310310309310310310310311310310310309310309309310309310310309310309310309309310310310309309309309309308308308308308308308308308308308308308307307307308308308309308309308308308309309309309309308309309308308308307307307308308307307307307307307308308308307307307306305306306305305304305304304304304304304304304304304304305304304304305305304304304304303303303303303303303303303302302303303302302303303303302303302302302302302302301302301301301300301300300300300300300300300300300300300299299299300300300300299299300299299299299299299299299299299299299299299300299299299300299299299299299300299299299299299299299299299299299299298298298298299298298298298298298298298298299299299298298298298299299298299298298298298298297297298297297297297298297297297297297297296296297297296296296296296296296296296296296295295295295295296295295295295295295294294294294294294294294293294293293292293293292292292293292292292293292292292293292292292292292292291291291291291291291291291291291291291291291291291291291292291291291291291291291291291290290290290290289289289290289289289289289289289289289289290289289289289289289288288287287288292 293293294293292295294294294294294294292293292294290291292291292294294292294290296293296294295293293290291292294294292999999293295294294294999999999999999999999999999999999999999999999999999999999999999284289288288289290290289289290290291292293293294295295295295295296296296296296296295296296296296295295294294294293293293292293293293293294294294295295296296296296297297297297296296296294295295295295295295295296296296297297296296296297296297297298297297297296296295295296296295296295295296297296296295296295295296296296296297296296297297297295296296295294293292291290291999999999295296298299299299298298298299298298299299297298298297298297296297297296295295295296296296295294293294293295999999999999292292292999999299299298300302303303301298295999999296296297298295999301301302302303304304303304303303303302302302303305305305306306306306306307306306307307306307306307307307307306306307307307307307307306306306306306306306306305305305305305306306305306305305305305304304303304304304304303303304304304304304304304304305306305304304305305304304304304303304304304304304304304304304304304304304305305304302304304305304304304304304305305304304304304304304304305303305305305305305305306306306306306307307307307308308307307307307307308308307308308308308308308308308308308309309309309309310309310310310310309310309310309309310310310309309309310310310310310310310309310310310309309308308308308308308309308308308308307307307307307308308308308308308308308308308307308308308308309309309308308308308308308308306306307307307307307307307307307307307306306306305306305305305305304304304304303303304304304303303303304304304304304304303303303303303303303303303303303303303302302302302302302303303302302302302302303303302302302302301301301301300300300300300300300300300300300300300299299300299300300300300299299299299299300299299299299299299300300299299299299299299299299300300300300300299299299299299299299299299299299299299299299298298298299299298298298298298298298298299299298298298299299299299298299299298298298298298298298297297297297297298297297297297297297297296296296296296296296296296296296295296295295295295295295295295295295295294294294294294294294294294293293293293293292291292292292292292292293292292292292293292292292291292293290291291290290291291291291291291292291291291291290290291292292292291291291291291291291292290290290289290290290290290290290289289289289290289289289289289289289289288288287287288292 295296294295294296293293295294294293293293295295293292292293292294295289293295296294296295295295294294293294295295292292293291291293291294294292999999999999999999999999999999999999999999999999999999999999289289290292292292291290291292293294294295295295295295295295296296295295295296295296296296296296295294294293293293293293293293294294294294295295295295296297297297298297297298296296295295296296296296297296296295296296296296296296296295296296297297297298297297295295296295295294295296296296295296296296295296295295296296295295296296296296297297296296293293292292999999999999293294295297298299297298298298299299298299299298298297297297297297297296296294295295296296296295294294293293296999999999999292292999999296297297297299999306305303298298999999297297297298296999300301302302303303304303304303303302302302302304304305305306305306306306306305306306306306306306306306307307307307307307307307307307306306305306306306305305305305305305306306306306305305305304304305304304304304304304304303304305305303304304304303304305305305304304305303304304304303303304304303303304303303303303304304303304304304303303303304304304304304304304304305304304304304304304303304304304305305306305305306306306306307307307307308308307308307307307307307308308308308308308308309308308308308308309309309310310310310310310309309309310310309310310310310309309310310310309309310310310309310309309309308308308309308309308308308308308307307307308308308308308308309309308309309308308308308308308308308309309309308308308308307307307307307307307307307307307307307307306306306306306305305305305305304304304304303304304303303303304304304304304304303303303303303304303303303303303303302302302302301302302302303302302302302302302303303303302302302301301301301301301300301300300300300300300300300300300300300300300300300299299299299299299299299299299299299299299300299299299300299299299299299300300299299299299299299299300299299299299299298299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298297297298298298297297297297297297297297297297296297296296296296296296296296296296296296296295296295296295295295295295295295294294295294294294294294294294293293293293292292292292292292292292292292293293292293292292292291291292291291291291291290290291291291291292291291291291291291291291291291291292291292292291290291292290291291291291291291291290291290291290290290290290290290290289290290289289289288288292 296294293295295290293294294295293295293294293294294292292292295294295296295295296295295295295294295294293294292294292289290290291292290290292293293290999999999999999999999999999999999999999999999999999291290291293293293293292292292294295296296296296296296296296295296296296295296297297297297297297295295295294294294293293293294294294294294295295296296297297297297297297297298297297296295296296296296297297296296295296296296296296296296295296297297296297296297296296295296296295295295296295295295296296296295295295295296296294296295296297297297296296296296294291295999999999999294296296298298298299299298298298299300299298298299297297296296297295297295295295296296296296296294293293292999999999999289291999999295295296296297999999999999300298297298298296297297297295297999300301301301303303302303304303303302302303303304305305306306306306305306305305305306306306306307306306306306306306306306306306306306306305305305305305305304304305304305305305305305305304303304304304304304304304304304304304303303303303304303303304304305305303303303305303304303303303302302303302303302303303303303303304303303303303304304303303304304304304304304304303303303304303304304303303304305304305305305306305305306306307306307308307307308307307308308308308309308308307308308309308308308308308308308309309309309309309309309309309310310310310310310310309309310310309310310310310310309309309309308308308308309308308308308308308307307307307308308308307307307308308308307308308308307308308308309308308309308308308308308307307307307307306307307307307307307307307306306305305305305304304304304304303303303303303303303303303303303303303303304303303303303303303303303303303302302302302302302302302301302302302302302302303302302302302302302302302301301301301301301301301300300300300300300300300300300300300300300299299299299299299299299299299299299299299299299299300300300300300300300300300300300300300299299299299299299299299298299298298299298298298298298298298298298298298298298298298298299298298298298298298298298298298298297297297297297298297297297297297296296297296297297297296296296296296296296296296296297297296296296296296296296295295295295295295295295294294294294295294293293293293292292292292292294292293293293292293293294294292294293292292291291292292292292292292293292291292292292292292292293293292292293293292293292292293292292291293292292292292293292291292291292291292292291291291291292291290289291290290289289289288292 297297294293293293294294294294294293292292293294293291293293294294294293292292293294295294292291292292292292294293291291288290291290292290292292294291291999999999999999999999999999999999999999999999287289289291292292293292292292293295295295295296295295295296295295296296295296296297297297297296296296296294294294294294294294294294294295295296296297297297297297297297298298298298298296296297297297297296297297296296297297295296296296296296297297298297297298297296297297296296296295295296295295296297296297296295296296297296295296296297298296298297297298298297296999294295294295296297297298298298298299298297298299298297295298296296295297296296295296295295295296296296296295294999999999999999999999290289999999294293294297999999999999999299298297298299298297296296294295299299300299999302303302303303303301302302303303304305305305306306306306306305305306305305305305306306305306306306306306306305305306306306305305305305305304304304304304305305305305304304304304304304304304303303304304303304303303303302303303303303304304303305304304304303303302303303303302303303303303303303303303303303303303303303303303303303303304303304303303303304303303304303304304303303303304304304305305305305306306306306306306307307307307307307307307308308308308309308308308308308308308309308308308307308309309309309309309309309310310310310310309310310310310310310310310310310310310309309309308308309308308308308308308308308307308308308308308308308307308307307307307308307307307308308308308308307308308308308308308308307308307307307306307307307307307307307307306306305305305305304304304304304303303303303303302303303302302302303302303303304303304303303303303303303303302302302302302302302302302303302302302303303303303303303302302302302302301301301301301301301301301300300300300300300300300300300300300300300300300299300299299299299299299299299299299299299300300300300300300300300300300300300300300300300300299299299299299299299299299299298298298298298298298298298298298299299299298299299299299298299298298298298298297298298297297297298298297297297297297297297297298297298297297297297297296296296297298297297297297297297297296296296297296296296296295295295295295294295294294294293293293293292292293293293293292292292293293293293293292292292292292292292292292291292291292292292291292292292292291291291292292292291291292292293292292292291291292291291291291292291292291292291291292291290290291290290290290290289289289288288288292 296296295294295293294294294293294292293292291293294292293292292293294292292292292292292291291291291291292292293292293291287289291292292291288294295292999999999999999999999999999999999999999999999999288288289290292293293293293293294295296295295296296295294294295295295296295296296296297296296296295295294293294294293293294294294294295294294295295296296297297297297297297297298298297296296296296296296296297296296296296296296295295295295297297298297296297297296296296297295296296296296296296296297298297298297298297297297296296297297297298297298298298299298297999297298297297297298298298298299298299300298298297298297298297297295296296297297297296296295296296295296296296295999999999999999999999291292291999999293293999999999999999999999299297298298299298297295295293294296299300301999302303302302302301301301301303303304305305305306305305305306306306305306305305305305305305305305305305305305305305306306305305305306305304304303304303304304304305304303304304304304304304304303303304304304304303303304302302302303303303302303303303302303303303303303304303303303303303303303303303303303304303303304304304304304303302303302303303303303303303304303303303303304303303303304305305305306306306306306306306306308307307308308307308308308308308308308309309309309309308309308309309308308308308309309308309309308309309309310309309309309309310310310310311310310310310310310310309309309309308309309308308308308308308308308308308308308308307307307307307307307307307308308308308308308308308308309308308308308307307307307307306307307307307307307307306306305305305306305304304304304304303304303303303303303303302303302303303303304304304303303303304304303303303303303303303303303303303303303303303303303303303303304303302303302302302302302301301301301302301301301301300300300300300300300300300300300300300300300300300300300299299299300300300299301300300300300300301301301300301301300300300300300300300300300300299299299299299299299299299299299299299299299298299299299299299299299299299299299299299299298299298298298298297298298298298298297297297297297297298298297298297298297297297297297296296296297297297297297297296296296296296296296295295295294294294294294294294293293293292292292292292293292292292292293292292292293293292292291291291291292291291291291290291291292291291291291292292291291291291291292291291291292292292292292293291292292291291290291292292291291292292292292291291290290290290290289289289289289289288294 296296294295296295295294293293293294293292292293294291292292293294293293294292293291293292291291291292292292292291292290289291292293291290291291295999999999999999999999999999999999999999999999999287288288290291293294293294294296296296295295295295295295295295295295296296296296296296296296296295294295295293293293293293293293293294294294295295295296297296297297297297297297298298297297295296296295296296296296296296296297296295294294295297297297296295296297296296295295295295295295296296297296296296298297296297296297296296296296296296297296297298298297296999999296296297297297299298298297297298297298298296297297297298297297297296296296295293295295294295296295295296296295999999999999999999999291291999999294294293999999999999999999999999295297297296297295295295999999299301301301302301302301301302301301301302302303304305305305305305305306305306306306305306305305305304305305305305305304306305305306305306306306306305305305304304305305304304305305305305305306306305305304304304304303304303304303304304303303304304303303302303303303303304303304304303303303303302303303303303303303303304304304304303304304303302303303303303303303303304303304304303304304304303304304304305305306307307307307307307308307308308308308308307308308309309308309309309309309309309310308308309309309309309308309309309309309309309309309310310310309309310310311311311311311311311311311311311310310310311309310309309309309309309309308309309309309309308308308307308308308307308308309309308308308308308309309309309308308308309309308307307308308308308308308307308307306306306306306305305305304304303304304304303304304304304304303303304303304304304304304304304304304304304304304303304304303302303303303303304304304304303303303303303302303302302303302301301301301301301301301301301301300300300300300300300300300300300300300300300300300300300299300300300300300300300300301301301301301301301301301300301301301300300301300300299299299299299299299299299299298298298298298298298298298298299299299298298298299299299298298298298298297297297297297297297297296296296296296297297298297297297297297297297297297296296296296296296296296296296296296296296295295295295294295294294294294294294293293292293292292291292292292292292292291292292292292292292291291291291291291292291291291291290290290291291291291292292292291291292291291292292291291292291292292293292292292292292292290291292292292293293291292293291292291290291290290290291290290288289288294 296296295296296294294294295294295297293293292293293294294293294293292294293292293293294293293294293293294293293292293291292292293292291292293293297999999999999999999999999999999999999999999999999999291291293292294295294294293294295295295295295295295295294294295295296296296296296297296296295294294294294293293293292293292293293293294294294295295296297297297297297297298298297297297296296295295295296296296296296296296296296295294295295296297296297296296296296295295294295295295295295296296297297297297297296296296297296295295295295296295296295296296295999999999296295296297298297298297297298297297299297297296296297298297298296296296294294294295294295294295294295295294294999999999999999999999291290999999294294293999999999999999999292293294296295296296296296298999999299300300999302301301301302301301301301301302302303304304305305305306305306306306306306306305304304304304304304304304304305305304305304305305305305305304304304304304304304304304304304304305305305304305304304303304304303303303303303302303302303303303302302303302302303302302303303304303303303302302303303303303303302302303303303303303303301301302303303303303303303303303303303302303303303304304304304304305306306306307306306307307307308308308308308308308308308308308308308308309308308308308308308308308309309308308308308308308309308308309308309310310310310310310311311311310310310310310310310311310310310310310310310309309309310309309309309309310309308308308308308308309308308308309309309309309308308308309309309308308309308309308308307307307307308308307307307306306306305305305305305304303303303304302303303303303303304304304304304303304304304304304304304304304304304304304303303303304303303303303302303303303303303303303303303302302302302302302301301301301301300301301300301301300300300300300299300300300300300300300300300300300300300300300300300300300300300300301301301301301301301301300301300301301301301301301301300300300299299299299299299299299298299298298298298298298298298298299299298298298298298298298298298298298297297297297296296297297297296297297296297297297297297297297297297297297297296297296296297297296296296296296296295295295295294295294294294294294294294293293292292292292292291291291291291291292291292292292293293292292292291291291292291291291291291291291291291291291292291291292291291291292292291291291291291291292293293293293292292292292292291291292292292292292292291292291292290291291291291290290290289289289294 298296293295298295295295294295295292294294294295294294293294293294294294293294293295295294295296296295293293294294293293291294294292292292293294999999999999999999999999999999999999999999999290999292292293293294295296295295294294295294295295294294295295295295295295296296296297296295296296294294294293293293293292292293293293293293294294294294295296296297297297297297298298298297297297296295294296296297296296296296295296295295294294295297296296297297296296296295296295295295295295295296296296295296296296295295296296295295295294294296297296295293293999999999999295297297296297296296297297296296297298297297297296296297297298298295294293294295294294295294294294293294293292294999999999999999999289288999294294294294295295294293292291292294294295295295295296298299999999999299299301302302301302301301301301301301301302303303304304305305306306306306306307306306306306305304304304304304304304305304305305305304305305304304304304304303304304304304304304304304305305305304304304304303304303303303302303303302302301302303302302301301301302302301303303303303304303302303303303302302302303302302302302303302302302302302302302302302302303303303303303302999302303303304303303304304305305306306306306306306307307308307308308308307307307307307308308307308307308307308308308308309309308308308307308307308309308308308308309310309309309309310310310310310311310310311310309309310309310310309310310310309309309310309309309310308309309309309309307308308308308308308308309308309309308309308308308308308308307308307307307308308309308308306306306306306306305305307306306305303303303304303303304304304304304304304304304303304304303303304304304304303303304304304304304303303303303303303303302302302303303303303303303303302302302302302302301301301301301300300300300301301301300300300299300300299300300300299300300300300300300300300300300300300300301301301301301301301301301301300301301301301301301301301301301301300300300299299299299299299299299298298298298298298298298298298298298298298298298298298298298298298298297297297297296296296296297297297297296297297297297297297297297297296296296296297296296296296296296296295296295295295295295294294294294294293293294293293293292292292292292291292292291291291291292291291292292292292292292291291291291291291291291291291291291291291292291291291291291291292292292291292292292292291292293293293293293292292292292292292292292292292292293292291292292291291290290290291290290290289289295 295295296296295295293294296294293293294293295295295295295293293293294295295294295295295294294295293294293292293294294293293294294292291291292292999999999999999999999999999999999999999999292293292292292293294295296295294294294295295295294295295295296295296295294295296296296296296296295295294294293293293292293292292293293293293294295295295295296296297296297297297298298297297298297297296295296296296296297296296296296296296295295295296296296295296296296296296296295295296296296295296296296296296296296296296296297296295295293296295296296296294292999999999999293296296298297298298295297296296296296295296295298297297296296297297296295294294295295294294293294293292294294293293292999999999999999999287999293292293296296295294293293293293293293295295296296296297298298298999999999303302302301302301301300300301300301302302303304304304305306306306307307306306305306306306305304304303303304304305304304304304305304305304304304304304304304304304304304304304304304304304304303303304303304303303303302303304303302302302303302302302302302302302302303303303302303303303303303303302302302303303303303302303303303303303302303303302302302302303302302302302303303303304304304303303304305306306305306306307307307306306308307307308307307307307307307307308308308307308308308308309309308308308308307307308308308308309308308308309309309309310310310311310311311311310310310310310310310310310310310309310309309310310311310309310309309309309308308308308307307308308307308309308309309309308308308308308308308308307306306307307307308308307306306306306306305305305306306306304303304304304304303304304304304304304304304304304303304303304304304304303303303303303303304304304303304303303303303302302302302303302302302303302303302303303302302301301301300300300300300300300301300300300300300300300300300300300300300300300300300300300300300300300300301301301301301301301301301301301301301301301301301301301301301301301301300300300300300299299299299298299298298299298298298298298298298298298298298298298298298297297298297297297296297296296297296296296297297297298297298297297297297297297297296296296296296296297296296296296296296296295295295295294294293293293293293293293293292292292292291292291291291291292291292291292292292293292292292292291291291291291292292291291292292291292291292292292292291291292293293293293292292292291292292293293292293293292292292292292292291292292293292292292292292291291291290291290289291290291290289296 296295295296296296294296294295295294294294295295294294294294293293294294294295294294294292293293294293292291294292294294294295294293290290291292999999999999999999999999999999999999999999295294294293293294295296295295294294294294293294294294295294295294295295296296296295297296296296296294293294293293293293293292291292293293294294295295295295296297297296297296297297298298297297297297295296296297296297297297297297296297297296296296296297296296296296296296297296296295295296296296296296296297296296296296296296296296296295297297296296296295295999999999999295294296297296297297297296296296295296296298297297296296296296294295296296296294293294295295294294295294293294294293293294291291999999999999999292293292294294294295296295294293294295294296296297297298298298297999999999999301303302300301302301300300300300301302303304304304305305306306305306305306306305306305306305305304308303304304303304304304304304304304304304304303304304303304304303303304303304304304304303303303304304304303304303303303304303303302302303303303304303302302302303302302303302303303303302303302302302302302303303303303303303303303302302302303303302302302302303303303303303303304304304304304304305305305305305305306306306307306306307307307307307307307307307307307307308308307308308307308308309308308307307307308308308307308309308308309309309309309310310310310311311311310310310310310310310310310310310311310310309309309310309310309309309309309309308307307307307307308308307308308309309308308308307308308308308307308306306306306306308306306306306306306306305305305305305304305305305303304304305304304304304304304304304304304304304304303304304304303303303303303304303304304304304303303303303303303303303302302303303303302302302302303303303302301301301300300300300300300301300300300300300300300300300300300300300300301300300300300300300300300301300301301301301301301301301301301301301301301301301301301301301301301301301301300300300299300299299299299299299299299299299298298298298298298298298298298298297297297297297297297297297296297297296296297297296297297297298297298297297297296297297296296296296297296296296296296296295296296295295295295295294294294293293293293293293292292291292291291291291291291292291292292292292292292292292291292292292291291291291291290291291291292291292292292292292292292293292293293293292291293292293293293292292292292292292293292292292292291292292292292291292292292291290290290290290290290290290289289 296295294294296296295296296296295295294296295294293293295295295294294295294293293294294294294294294295292293294294294293295296294292292292291289999999999999999999999999999999999294293294295295294294295294295295295295295295294294293293294293294294294295295296295296296296296296296296295294293294293292291292293294293294294292294295294296295296296296297296297296297297298298297298297296296296297296297297297297297297297296297297296297296297296295295296296296297296296296296297297296296296297296296296296296296295295296296297297297297296297297999999999999295295296296297297297297297297296296295296295298297297297297296296295295296296296295294294296295294294294294292294294294294294292291292999999999999292291290294293292294296296296296296297295297298299299300299298298999999999999999304999300302302302301301301301301303303303304304305305306306305305305305306306305305306305304305304303304304304304304304304304304303303303303304304304303304304303304304304304304304303304304303304304304304303303303303304303303303303303304303303302302302301302302302302302303303303302302302302302302303303303303303303304303303303302303303303303303303303303303303304304304304304305304305305305306305305305305305306306306306306307307307307307307307307307307307307308308307308307308308308308308308307307308307308308308309308308309309309309309309309310310310311310310310310310310311310309310310309310311311309309309310309310309309309309309309308308307307307307307308307306307307307308308308307307308308308309308308307307306306306306306306306306305305306305305305305304304304303303304304304304305305305304304304304303304304304304303302303304304303303304303303304303303304304304303303303303303303303303303303303303303303303303303303303302302301301302301301301301301301301301300300300300300300300300300300300300301300300300300300300300301300301300301301301301301301301301301301301301301301301301300300301301301301301301301301301300300300300299299298299299298299299298298298298298298298298298297297297297297297297297297297297297297296297297297297297297298297297298298297297297297297296296297296296296296296297296296296295296295296295295295295295294294293293293293292293292293291291291291291290291290291291291291291292292292292292292292293292291292292291291292291291292292291291291291292292292292293293293293293292292292292292292292293293292292292292293292292292293292292292292292292292292292292292291290291290291291290290290290289 297297295296295295297296296297296295296295294294295295293295295296294294293293292294294294294296296294293293294296295295294295295294292292292293999999999999999999999999292291292293293294294294293294294294293295294295296294294295294294294294295294294295295295295295296297296296295295293292294294293294293293293293293293293294293294294295295295296296297296296296297297297297297297297296296296296297297297297296297297297296297297296296296296296296296296297297297296296297297297297295296295297296295296297296297297297297296297297297297297999999999999293292293295297297297296297297297297296296297297296297298296298297298297296297297296296295295296294295296294293293294295295294293292292290289999999999290289290999999292293294295296296296297297299999297299299299299298297999999999999999999999301301301302301301301300300302302303303304305305305305305305305304305306305305305305305304304304304304304304304303304304304304303303303304304304303304304304304304304304304304304303303303303303303303302302303303303304304304304303303302302302302302302302303303301302302303302302302302302302302302302302303303302302303304302302303303303303303304304304304304304304304304304304304304305305305305305305305306306306307307307307307307307307307307306307307307308308307308308307308308307308307307308308308308308308308308308308308309309309309310309310310310310310310311311310310310310310310309309310310310309309309309309308308308308308309308308308308307307308307307307307307307307309307308307308307308309308308308307306305306306306306305305305305305305304305305304304304304304304304304305305305306306305304304304303304304304304304303303304304303304303303304303303303304304304303304303303303303303303303302303303303303303302303303302302302302302302302302301302301301301301301301300301300300300300300300300300301300300300300300300300301300301301301301301301301301301301301301301301301301301300300300300300301301301301301301301300300300300299299298298298298299298299298298298298298298298297297298297297297297297297297297297297297296297296296296296296297297296297297297297296296296296296297296296296296296296296296296295295295295295295295295295294294294294293293293293293292291291291290291290290290291290291291292291292292292292292292292292292291291292291292292292292291292291292292292293293294293294293294294293293293292292292293293292292293292292292292292292293292292292293293292293292292292292292291291291291291291290290290289 298298298297296296298296295295296296296296295292293296295293296296294293294295294294293295295296296293294293294295294294296295293293293293295295999999999999999999999292292292292292291293293293293293293292292293294295295294294295295294294294295294293295295295296295296296296296295295293293292293293293292293294293293294294294294294294294295294295295296296296296296297298297298298298296296296297297297297297296297297297296297297296296296297297297297296297297297297296297297297296297297297296297296296296296296297296298297298297297297999999999999292293292294295295296298298296298296295296297296296296297298298297297299297297298297295297296295296295294296296295293295296297294294293293290289289288289289290291291291293295295295296296296297298298299298298298298299299297999999999999999999999301301301301301301301300301302302303304304305305305305305305304304305305305305305305304304305304304304304303304304304305305304304304304304304304303304304304305304304304304304303304304304303303303303303303303303304303304304304303303302301301301301303301302301301302302302302302302301301301301302302301302302302302302302302303303303303303304304304305304305304304304305305305305305305306305305305306305306307307307307307307307306306306306306307307307307308308307307307307308308308308307307308308309308308309308308308308307308308308309310310310310311311311310311310310310310310310310310309309309309309308309309308309308308308308308308308308308307307307307307306306307307308308308308308308308307308308308308308307306306306305306305305306306305305305304304304305304304304304305304305305305306306306304305304304304304304304304304304304304303303304303303303303303303303304304303303303303303303303303302302303303302302302302302302302302302302302302302302302301301301301301301302301301300300300300300300300300300300300300300300300300301301301301301301301301301301301301301301300301301301300301301301301301300301301301301300300300300300299299299299299299299298298298298298298298299299298298297298297297297297297296297297297297297296297297297297297297297297297298297297297296297297297297297296296297297296296296295295295295295295295295294295295295295294294294294293292292292292291291291291291291291291291292292292293293292292292292292292292292291292291292292292292292291291291291292293293294293294295294294293293292293291292292293292292293293292292293292292292292292293293293292292293292292290290292291291291291290290290290289 297299300299300299299298297296296297297296295295297294293298296295293294294295294294294295294295293293293293294294294296296295295294293294295295999999999999999999293293293292292292291291292292293292292291291293294294293292293293294294294294293294294294294295296295296296296296295295295294293293293292292293293293292293294294294295294295296295295295296296296295296297296297297297296296296296296296296296297297297297297296296297296297296297297297296296297296296296295297297297297297296297296296296295297296297297298298297297296298999999999999294293293294295295296297298298298296296295297297297297297297298299299298298298297297296295298297297296297295295296296295296296296294294294292291290291290291290291293293293295296296296295295296296297298298999297297297999999999999999999999999999999999301301301301300300300301302302303304304304304305305305305305305305305305304304304304304304304304304303304304304305305305305305305304305305305304304304305305305305305304304304304304304303303303303303303303303303304304304304303303303303300300301302301301301301302301301301302302302301301300301301301302302302302301302302303303303304303304304304304304304304303305304305305305305305305305305305306306307307307307307307307307306306306307306306307307307307307307307307307307308308308308308308309310309309309308308309308308308309308309309310310310310310311311311310311310310311310310310310309310309309309309309308308308308308308308308308307307307307308307306307307307307309308308308308308308308308308307308307307307306305304305305305305305305304305305305304305305306305305305305305305305306306307305305305304304305305304304304304304304304303304303304303303303304304304304304303303303303303303303303303303303303303303303303302302302302302302303302302302302301301301301302302301301301301300300300300300300300301300301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301300300300299299299298299299299299299299299299298298298297297297297297297297297296297297297297297296297296297296297297297297298297297297297297297297297297297296296297296296296295295295294294294295295295294294295293293294294294292292292292292292291291291291291291292292293291292292292292293292292293292292292292292292291291292292292292292293292293294293293293294294294293293293294293293292293293294293292292292292292292291292292292291292292292292292291292292292292291291291291290290291290289 300307305301300298298298297297299298297298296297297296296295296295295295296296295294294295296296295294294294295296296296295294295295295294295297999999999999999294294293293293291292292292292291291291292292293292292292293293293293294294294294294294294294294294295295296296296296295294293293293294294292294292292293293294294294293294293295295296297296296296296296296296296296296296296296296297296296296296296297298297296296296295295296296296296296296295296295296296296296297298297295296297295296296295295296297297297298298298297999999999999294295295295295295295297296296297298297296297297297298297297297298298298297297298298297297298299298296296297295295295294294294294292292293294292291291291290291292292292293294295296296296295295296296296297297999999298298999999999999999999999999999999999300301301301301300300300302302303303303304304304305305305304305305304304303304304303305304304304303304304304305305305305305305305304304305306305305305305306305305305305304304304304304303303303303304303303304304304305304303303303302302302302302302302301301301302302301302302302302302301301301301301302302302302302302303304304306303302304303303304304304304305305305305306305306306305305306306306307307307306307306306307307307306306307306306307307307307307307307308308308308309309309308308309309308309309309309309309309309309309310310310310310310310311311311311311311311310311311311310310310310309309309309309308308308308308308308308307307307308307307308307307307308309308308309308308308307307307307307307307306306305305304305305305305305305304305304304305304305306305305304304304305306305307305305304305305305304304304304303304304304304304304304303304304304304304304303303303303303303303303303302302303303303303302302302302302302302302302302301301301301301301301302301301301301300300300301300300300300300300300301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301300300299299299299299299299298299299299299299298298298298298297297297297297296297297297297297296296296297297297297297297297297297297297297296296296296297296296296296296296295294295295295294295294294294294295294294294294294292293292292292292291291291291292291292292292292292291291292292292292292292292292292292292292292292292292292292292293293293293294293294293294294293293294294293293293292292292292293292292292292292292293293293293293292293293292291292292292292292291291291291291291290290 299305304300299297300299300297299297297298295295297294294296296294296296296296296295295295296294296295296296296296296296295295295294294296296294285999999999999293293292292291291291292291292293291291292292292293292293293293293293293293293294293294293293294294294295297296295294294294294292292293293293293292293293293294295294294294295296296296296296297297296296296296296296295295295295296296296296296296297297298298296296296295295295295296296296296296296296295296296296297297297296295296295295296296295296297297297297298298999999999999295295294295296297297298297296297297297297297297296297298298297297298296297297298297297299300299299298296296296295296295294294294293293293293294294292291292292292293294293293294295297297297295295296296296297297999999999999999999999999999999999999999999301300301301301301301300300302302302303303304304304304304304304304304304304303304304303303304304304304304303304304304305305304304304305304304304304305305305305305305305305305305304304304303303304304304304304304304304304304303302302302302302301302302302301300301302302301301302302302301301301301301301301301301302301302303304304304303302302303304303304304304304304305305306305305306306306307307307307306306307306306305306307306306307307307307307307307307307307307308308308309309309309308308308308308308308308309309309309309309309309310309309310310309310311311311311311312310311310310310310310310309309309309308308308308308308308307308307307307308307308307307307307309308308308308307308307307306306307306306305305305305305304304305304304305304304304304304305304305305305304304304304305305304305305305304305304304305305304304304304305304304304304304303304304304304304304304304304304303303302302303302302302302302302302302302302302302301302301302302301301301301301301301301301301300300300300300300300300300300300300300300300301301301301301302301301301301301301301301301300300300300300301301301300301301301301301301301301301300301300300299299299299299299299298299299299299299298298297297297296297297296297297296297297296297296297297297297297297297297297298297297297297296296296296296296296296296295295294294295295295295295294294294294294294294294294294293292293293292292292292292292291292292292292292292292292292292291293292292292292292292292292292293293292292293293293294294294294294294295294294293293294293292293292293292292293292291292293292291292292292293292292292293293293293292291292292292291291292292291291291290 301305306303304301300300300299299299299299298295296296296298298296295296296294295295295296295295294296296296296296295295296295295294294296297291999999999294293292292291291291290291291292291291291291292292293292293293294294294294293293293293293293293292293295297295295295296294294293293292293293293292292292292293293293295294294293295296296296296295295296296295296296296295295296296295295294297296295296296297297297297296296295295295295295296296296296296296296296297296296297296297295295295296295295296296297297297297297999999297296296297296295296297298298298298298297297297297296297297296298299298297297297297296296296295298298299299299298297296296298296294295295294292295294294294293291293293293292293999294294295296296296295294295297298297297999999999999999999999999999999999999999302300300301301301301300299300301302302302302303303302303304304304304304304304304303303303303303303304303303303303303303303303304304303304304304304304305305304305304304304305304304304304304304303303303303304304303304304304303303303302302301301302301301302301301301301301300301302301301300300300301301300301301300301300301303303303303303302303303303304304304303304304305305305304304305305306306307307307307306307306306306306306306306306307307308307307307307307307307308308308308308308308308308308308307308308308309309308309309308308309309309310309309310310310311311311311311311310310310310310310309309309309309308309308307307307307308308307307308308307307308308308308308308308307308307306307307306306306306305304305304304305305305304304304305304303304303304304303304303304304304304305305304304305304304304304305304304305304305304304304304304304304305304304304303304304304304304304304303302302302302302302301301301302302302302302302302302301302302302302302301301301301301301301301300300300300300300300300300300300300300300300301301302301301302301301301301301301300301301300300300300300300300301301300301301301301301301301301300300300301299299299299299299299299299299298298298298298298298297297297296296297297297297297297297297297297297298298297298298298298297297297296297297296296296296296296296295296295294295295294294294294294294294294294294293293294294293293293292293292292292292292292292293292292292292292292292293293293292293293293293293293293293293293293293294293293294294294294295295295295294293294292292292293293293293292291290291291292292291293293293293293292293293291293293291293292292292292292292291291291291 305299304302296298300297297298299300299299299296296295295297297298295294295294294295297295295295295297297296297296296295295295294293294296296296294294294294292291290290291291291292292292293292293293292293292293293293293294294294292293294293294294293292295294296294295296296295293294293292292291293292292291292294293294294294294294295296295295295294294295294295295295295295294294294295295294294295295295296296296297296296295295295296295295295295295296296296296296296296297297297296296295296295295295294295296297297297999999999297297296296297295296297296297298297297297298297295295297297298298297298296296296295296296295296297298297297296296296295296297297295296295295296294295294294294293293292292291999999999999294295295295295294296999297298296999999999999999999999999999999999999999303300301300301301301301300300301301302302302302302302304303304304303304304305304304303304304304304303303304303303303303303304304304304304304304304304305304304305304304304304305304304304304303303303304304304304304304303304303302302302302302302301301301301301302301301300300301301301301300300301301300301300300301300301301302302302303302303302303303303304304303304304304305304304305305305305306307307306306306306307307307307307307306306306306308308307307307307307307308308308309308308309309308308307308308307308308308308308308309309309308309309309309309310310311311311311311311311310310310310310310309309309309308308308308308307307307308308307308307307308308308307307307308307307307306306307306306306306306306305304304305305306305304305304305305305305303303304303304303305304304305305305305305305304305305305306305304305305305304304305304305305305304305304304304304304304304303304303303302302302302302302302301301302302302301302302302302302302302302302302302301301301301301301301300300300300300300300300300300299300300300300301301302302302301301301301301301300301301300300300300300300300300300300301301301301301301301301301301301300300300299299300299299299299298297298298298297297297298297297297297297297297297297297297297297297298298298298298298298298297297297297297297297296296296296296296295295295295295295295295294295295294295294294294294294293293294293293293292293292292293293292292292292293292292292292292293293293293293293292293293293293293293293294293293293293294294294293293295294294293294294293293293292293294293292292292292293292292293292293292293292292293293292292292292292292293293293292292292292291291291 999301302301294296296296296298300300300300299297297296294295298297297296295298295294296295295296296297295297296296295295294294294293293294295296294293291291290290290290291291291292293293293293292292293293292293293294294295294293292292294294294294294293296296295296296295295295293294292293292292292292292293292293292293294294294295294295294295295295295295295295295295294294294294294293294293294294294294295296296296296295295295295295296295295294295296296296296296296296296298297297296295295295295295295294295297298297999297296296296295296296296296296296296297297297297297296295296296297299298299298297297296296297296296297296295297297295294295294293294298297296296296298298298294294294293292999999999999999999999999295294295295295999999999999999999999999999999999999999999999999999999999999999300301301300300300300300301301302301302302302303303303303303304304304304304304304304304303303303303303303304303303304303303304305304305305305305305305304305304304304304304304303303304303304304304304303304303303302302301302302302302301301301301300301301301301300300301301300300299301301301301301302301300300301300302302302302302303302303303303303303304305305304304304304304304305304305305306305306307307307308306308307306306306307307308307307307307307307308308308309309309309309308309309308307307308308308308308308308308308308308308308308309309310310311310311311310310311311310309310310310308308309309308307308307307307308308308308308307308307307307307307307306308307306306306305306306306306306306306305305305305305305306306306306303305304304304303304304304303304305305306306306305305305305305305305305304304305304305304304304304304304304304304304304304304304304304304303303303303302302302302302301302302301301301302302301301301302301302301301301301302301301301301300300300300300299300299299299299300300300300300300300301301302302301301301301301301301301301300300300300300300300300300300300300301301301301301301300300300300300300300299299299299299299299298298297298298298298297298297297298296296297297297297297297297298298297298298298298298298297297297296296296296296296296295295295295295295295295295295294295294295294294294294294294294294294294293294293293292292293293293292292293293293293293293293293292293293294294294293294294293294294294294295293294294294293294295295295295294294293293294294294294294292293293293293292292293293293292292293293293293293293292292293292293292293293293293292292292292291290291 999999293295301300298297299299299299300298298297298297297299295295297297299300298296296295295296297297296297296295295295294293293293293293293293291291291290290290289291292291292292293292293293293293293293292293293294293294294293293293293293293293292293295295294294295293294295294293293293293292292292293292292292292293294294293293294294294294295294294294295294294294294294294293293294294293294294294294294295295295295295295296296295294294295295296296296296296296296297297296297298296295296294295295295295295297297295295299296296295296296297296296297296297297297297297297297297296296296298298298297298296296297297295297297298297297294292294294294294297297295296294294296298296294294294293291999999999999999999999999295295294295296999999999999999999999999999999999999999999999999999999999999304300301301300300300299300300302302302302302302302302302302302303303303303303304303303302303303303304304303303303303304303303304304305305305304304304305304305304304304304304304303302303303303303303303303303303303303303302302302302302302301301301300301302303303300299302300299300300301301301301300301302301301300300300302301303302302302302303302303303304303304304304305304304305305305307305306306306306306307307307307307307307307308308308307308307308308308308308308308308308309309308308309307306307307308308308308308308308308308308308309309310309310310310310310311309310310310310310310309309309309309309308308308308307308308307307308308307307307306307307307307306308307306306306306306306306305306306305305305305305306307306307305306305305305305304304304304305305305305305306306306305306305305304304305304304304304304304304305304304304304304304304304304304305304304304303303303303303302302301301302301301301301301301301302301301301301301301301301300301301301300300301301300300300299299299299299299299299300300300300300300301301301302301301301301302301301301301300300301300300300299300300300300300300300301301301301300300300300300300299299299299299299299298298298297298298298298298298298298297298297298298298297298298298298297297298297297298298298297297297297297296297296296296296295295295295295295296295295295295295295295294294294294294294294294293293293293293293293293293292293293293293293294293293293293293293293295293294294294294294294294294293294293293294294293294294293293293294293293293294294295293293293293293293293292293293294293293293293292292293293293293293293293293293293293293292292292292292292291291 999999999297301299299298299298299298300299298299300299299299298295298297298297297294296297295296296297296295296295295293293292294293293291292292292292290290290290291291291292292292292293293293294292293292292293293293293292293293293292292293294293292292293295295294294293293294293293292292292292293292292291292293293293294294294294295294294294295295294294294294294294293293294294294294294294294294294295295295295295295295296295295296295295296296295296297297296297297298297297297297295296297296294295295295295296296297999297297298297297296297295295296296297298297297297297297298297295296297297298297296296295296297296296297297297295297296294295295295295296295295295294294295295294293295294291999999999999999999999999296295296297999999999999999999999999999999999999999999999999999999999999999303299301301301300298299299300301301302302302302302302302302302302302303302303303303303303302303303303303304304304303304303303303304305304304304304304305305304305304304304304303302302302302302303303303303304303303302302302302302302302301301301302301300302301302301301302300300300300301301301301301301302301301301300301301301302302302302302302302302302303303304304304305305306306306306307306306307305306307307307307307308308308309308308308307307307307307309308308308308308308309309309308308308307307307307308308308307307308308308308309309309309309310310310310310309310310310310310311309309309309309308308308307307307307307307307307307307307307306306307306306307306307306306306306306305306305306305305305305305305305305306305305304305305305305305305305305305305305305306306306306306306306306305305305305305304305305305304305304304304304304304304304304304304304304304304303304303303303302302301301301301301301301301302302302302301301301301301301300301301301300300301300300300300299300299300299299299299299299300300300300301301301301301301301301301302301301301300300301301300300299299300300300300300300300300301300301301300300300300299300299299298299299299298299298298297298297297298298297297297298298298298297298298298298297297297297297298297298298297296296297296297297297297296295296296296296296296296296296295296295294295294295295294296295294294294294293293294294293294294293293293293293293293293294294294294293295294294294294294294294294294294294295294294294294293294293293294293294294294293293292293293293294293293293293292294293292291292293293292293291293292293292293293293293293293292292292292292292292291291 999999999298301298297300298297298296297297297299297298297296296297299298296297298297296296296296295296296296296294294294294293292293293292292292291291290290291291292292292292293293294293293293294293293292293293293293292293293292292292292292291292292292293294294295295294294294293293292292293293293293293291293293293293293294294294294294294295294294293293293293294294294294294293294294295295296295296295295295294295294295295295295295296295295295295296296297297297297297298297297297297297296296295295296296296296296295296298298299299298297297298297296297298298298298298298298298297297296297299298297297295295295296296296297294294294296296296297295295295295295294293293294294293292291293292999999999999999999999999999295295999999999999999999999999999999999999999999999999999999999999999999999999299300301300300300299300301302302301302303303303302302302302302302303303303303303303304303303303303302303303304304304304305303303304304304304304304305305305304304303303303303302302302303302303302302303304303302302302302301301301301301300301300300300302301302302302302301301301301301301301301301301302302302301301301301301301301301301301301301301302302303303304305305306306306306307307307306307306306306308307307308308306306307307307307307307307307308309308308309308308308308308308308308307307307308307308308308308308308309309309309309309309309309309310309308309309309310310310309308308309308308307308308308307307307308308307307307307307307306306306306306307307306306306307306306306306306306305305306306305305305305305305305304305305305305306305305305305306305305305306306306306306306305305304305305305305305305304305304304304303304304303305305305304304305304303303303303303303303302302302302302301302301302302302302301301301301301301301301300301301301301301301301300300300299300300300300300299300300300300300300301301301301302301301301301301301301301301301301300300300300300300300300300300300300300300300301301300300300300300299299299299299299299299299299298298298298298298298298298298298298297298298297297297298297297297296297298298297298298297297298297297297296297297296296296296296296296296296296296296296296295296295295296295295294294294294294294294294294294294294294294294294294294294294294294294294293294295295294294294294294294294294294294294294294293294293294293293293293293293293293293293293293293293294293293292293293293292292293292292292292293292293293293293293293292292293292293293292292292291291 999999999301300300299300298298298295302297297296298297298297297297297297298297295296296296296296295295295294295295293293294293293292292292292291291292291291290291292292292292293293293294293294294294293293292293294293293293292292292292293292293292293293294294294295295294293294294293292292293293293293292291293292293292293293294294294294294294294293293293293293294294294293294293293294294296296295295296296295295294294294294295295295296295295295295296296296297297297297297297297297297297295297295296296297297298296296297298297298297297297297298297297297297297297298299298299298297296296297297297296295295293295295296297296294294294295294293297296293293293294294293293292291294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300301300300300300300301301301302302302304304303303302303303304303304303303303303304303303303304304303303303304304304304304304304304304304304304304304304304305304303303302302302303302302303302303302303303302301301301301302301301301301301301300300301302302302302302302301301301302301301301301301301301301302302301301302302301302302302301301302302303303304304305305306306307306308307307306307307307307308308308308307307307307307307307308307308307308308308310309308308309308308308308308308306307308307307309309308309309309308309309310309309309309309309308308308309309309310310309309308309308307308307307308307307308308307307307306307307307306306306307306306306306306306306306306306306306306306306306305305305305305305305304305304304305305305305305305305306306306306306305306306306306305305305305306306306305305304304304304304304304303304305305305304304303303304303304303303303302302302302302302302302301301302302301302301301301301301301301301301301301301300301301301300300300299300300300300300300300300300300301301301301301302301301301301301301302301301301300300301300300300300300299299300299300300300300301300300300300300300300299299299299298299299299299298298298298298298298298298298298298297297298298298297298298298298297297297298297297297297298298297297297296297296296296296296296296296296295296295295295295296296296296295295295294294294295294295295294294293295294295295295294295294294293294294294294294294295294294294293293294294294294295294293294294294294294294293293293293294293293293294293293294294293293293294293293293294293292293293295293293294292293292293293292293293293293293293292292292293292292 999999999301299297300301301299299300302299299299298296297298299298298296297298297297297296296296296295294294294293293293293293292293292292292291291292292291292292292292292293292293293293292292292293292292293292293293294292292292293291292293292293293293294294294294294294293293293293291292293293292293293293293293293293293294294294294294294294294293292293293293293294293293293294294294294295297297296295296295294294293294295294295295295295295295295296297297297297297298298297297297297296297296296296296296296298999296296297297298298297297296297297298298297298297297298299298297298296296296296296296295294294294294295294295293294294295294293294293292293294293293291292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300301300299299300301302302302301302302304303303302303302302302302303303303303303304303304304304303303303303303304304304304303303303304304304304303303304303304304302302302302302303302302302302302302302302302301301301301301300300301301300300300302302302302302302301301302302302301301301301301301301302301301301301302301302302303303303302302303303303303304305305305306306306306307308307306306307307307308308307307307306306306306306307307307307307308307307307307307307308307308308307308307306307306307308308309309309308308308309309309309308308308308308308309309309309309308309308309308308308308307307307307306307307307307307307306306306306306306306306306306306305305305306306306306305306306306305305305305305305305307305304306305305305305305305305305305306306306306305305306305305305305305305304306305305305304304304303304304305305304304304304304305304304303304304303303303302302302302302302302302302302302302302302302301302302301302302301301301301301301301300301301301300300299300300300300300300300300301301301300301301301301301301301301301301301301301301300300300300300300300300300299299299300300300301301301300300300300300299299299299299298299298299299299299299299298298298298298298298298298298298298298297298298298298297297297297297297297297298298297298297297297296296296295295295295295295296296295295295296296296295295295295295295295295295295295295295294295295295294294295294294295294294294294294294294294295294294294293294294294293294294294294294294294294293294293293293293293293293294293293293293293293294294293293293293293292292293293292292292293293293293294293293293292292292292292292292293293292293 999999999301298298300300297298300301300297297298298297297298299298296296296296298297297296295295295295294294294294293293293293293293292292292291293292292292292292293293292293293293293292292292291292292293292293293293293293293293292292293293293293293293294295294294294293294294293292292293293292293293293293293294293293293293293294294294293293293293292292292293293293293293293293294294295296297296296295295294294293293294293294294294294295296297297297298297297296297297297296296296296297297296296296296296297296296295296296295297296297297296296296297296297297296297298297295296297296297296297296295297296294295294296296296294295292295294293293293294294293291293290292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301300301300299299299300302302302302302302303302302302302303302302303302303304304304304303304304304304303303303303303304304304303303302303304303304304303304304304304304303302304304303303303302303302303302303302302301301301301300300300300300300300301302303302302301302302302303301301301302302301301301301302301301301301302303303303302302303303304305304303304304306305306306307307307307308308307306306307308308308308307307307306306306307307307307308308307306306307306307307307308307306306307306306306307308309309309310309309308308308308308308308308307307308308309309309309309309309308308308308307307307307307306306307307307306306306305306306307306306306306306306305306305306305305305305305306305305305305305305305305308305305306305305305305305306306305305306306305305305305305306305305305306305304305305305305304305304303304304304305304304304304304304305304303304302303303303303302301302301302302302302302303302302303302302302302302302302302302302301301300301301300301301300300300300300300300300300301301300301301301301301301301301301301301301301301301301301300300300300300301300300300300299300300300301301301301301300300300300299299299299299298298298299299299299299299299299298299298298299298298298298298298297298298298298298297297297297297297297298298297297297297297296296296296296295295295295295295296295295296296296296296296296295295296296296296295296295295296295295295294295294294294294295295295294294295295294294293294294295293294294294295295294294294294293293294294294293294293294293294294293294294293293294295295294293294293293293293292294293293293293294294294294293293293293292293293293293293294293293 999999999999299298301300299300298296298298297298297297297298297297297295296296296297297295294295294294294294295294293293293293293292292292292292291292292292292291291291292292292292293292292292292291292291292291292292293293293293292292293293294293294293294294294293294293293294293292291293292292293293294294293293294294294293294294294294293293292293292292293293293293293293293293294295295297297296295295294294294294294293293293294294294295297296296297298297297297298298297298297297297297296296296296297297297297297296296296297297296297297296297298297295296297296297296297295297296296297297296297297297296295294295296295296296294293294295292292293295293293291292291999999999999999297297999999999999999999294296294999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300300300299299300301302303302302302302303302302302302302302303302303303303304303303303304303303303302302302302303303303302303303303303302303303302303304304303303302302303303303302302302303301302302302303302301300300301300300300300299300300301301302302302302302302302302302301302302302302302302302302302301302302304303302302301302302302303305304303304304304305305306307307307307307307307307307307307307307307308307306306306306307306307307307307306305306306307306306306307306307306307307306307308308309308309309309308308308308308308308308308307307307308308308308309308309308308308308308307307308307307307306305305306306306306306306306306306306306306306305305305305305304305305305304304304304305305305306305305305306305305305305305305306306305305305306306305305305304304305305305304306304304306305305305305304304304304305305305304304304303304304304305304304303302302301302302301302302302302302302303302303303303303303303302302302303302302301301301301301301301301301300300300300300300300300300300301301300300301301300301301301301301301301301301301300301301300300300300300300300300300299299300300301301301301301301301300300300300299299298299298299299298299299299299299299299299298298299299299298298298298298298298298298298298298298298298298298298298297298297297297297297296296296296295296295296295295295295296296296296296296296296295296295296296296296295295295295295295295295294295295295295294294294296295294295294294293294295293294294294294295294294294294293293294294294294294294294294294294294293293294294294294294294294294294293293293293293292293293293294294294294293293292292293292293293293294293294293 999999999999299296297298298301298296297297299298297297295297297297295296295295296296296295295295294295294295294294294294293294293292293292291291291291292291292292290291291292292292292292290291291291292292291291292293292293293292293292292293293292293293294294294294294294292293292291291291292292293293293293294292293294294293294294294293293293293292293293292292293292293293294294295296295297296296295295294294295294293293293293294295294295296296297297298298298298297298297297296296295296295296297297297298298298298297296295295296296297297296296296296295296297298298296297297297296296296296296295296296296295295296296296294293293294293294292295293296292292292293289999999999999297296295999999295294999999295294292294293293999999999999999999999999999999999999999999999999999999999999999999999999999298299300300299299300300301303303303302302302303303303303302303303303303303303303303302303303303302302302302302301301302303303304303304303304303304303303304304303303303301302303303302302302302302301301302302302302301301300300300299300298299299300301301302301302302302302302302302301301301301301302302301301301302302302302303302302302302302303304303302303303305304306306307307306306306307307307307308307307308307306306306306306306306306306307307306305305306307307306306307307308308307308307307307307307308308308308307307308308308308307308308307307307307307307307308308307308308308308308307307307308307308307307306306305306306307305306306306306306306306305305305305305305304304304305304304303304304305305306305305306305305305305306306305306306306306305305305306305305305305305305305305304304305306306305305305305305305305305305305304305305304305305305304304304303302303303303303303303303303303303303303303303303303303303303303303303302302302301301301301302301301301301300300300301300300300300301301301301301301301301301301301301301301301301301301301301301301301300300300300300300300301300300300301301301302301302301301301300300300300300299299299299299299299299299299299299299299298298298298299298298298298298298298298298298298298298298298298298298298298298298297297296296296296296296295295296295295295295295296296296296296296295296295296295295295295295295295295295295295295295295295295294295294294295295294294295294294294295295294294294294294295294293294294294294294294294293294294294293293294293294293293293294293293294294293293293292293292293293293293293294294294293293293293293293293293293293293293294293 999999999999302300297298297300300298299298298298295297296297296296297296295296297296295296295295294295295295295295295295294293292293291290289290290291291290292292292291292292292291291291291291291291292292292292292292292292292292292291292293294293293294295295294293294294292293292293292292292292293293293293293293293294294294294294294293293294293293293292292292292292293294295295295295296296295295295295295295295294294294294295295295294296296296296296297298297298297297296296297296295297296295297295299298298297299296296295295296296296296295295295296295296296297296296297297298297296298296296295295296295295295294294294293290291292291295293295295292292294293294290999999999297297296294999999292999999999294296294292293292291999999999999999999999999999999999999999999999999999999999999999999999999999300300299299298298300301301302303302302303303303303302304303303302303302302302303303303302303302302302303303301300302302302303303303303303302303303303304303303302302303303303300302302302302301300300301302302301300301301300300300299299299299301301301302302301302302302302302302301301301302301301300301301301301300301302302302302301301303301303303303303305306305306306307307306307307306307306307307307307306307307307307306306306306306306307306306306306306306307306307307307308308308308308308308308308307307307307307307307307307308308308307307307306306307307306307307308307308308308307307306307306307308307307307306305306307308307306306306306306306305306305305305305306304305304305304303303304305305305305305305304304305304305306306305306306306306305305305306305305305305305305305304304305304306305305304304305305305305304304304304305304304304305305305304304303305305303303303303303304304303303303303303303303303304303303303303303302302302301301301300301301301301302301300300301301301300301302301301301301301301301301301301301301300301301301301301301300301300300300300300300300300301300300300300301301301301302301301301301301300300300299300300299299300299299299299299298298299298299298298298298298298298298298298298298298299298298297298297298298298298297298297297296296296296296296296295295295295296296295296295296295296296296296295296296295296295295295295295295295295294295295294295295295295295296295295295295295295295295295294294294294295294294293294294294294295294294294294294294294293294294293294294294294293294294294293294293293293293293292293293292294293293293293293293293293294293294293294294293293 999999999999999302296299299299297297297296297299297295296297296296296295296295298296295296295294294295295295294295296294295294292291290290290290291290290290291291291292291292293291291291291291291290291291292292292292292293292293293292293294294293293294295295293293293294293293293293292292292293293294293294294293294293294294294294293293293293293292293292291291292292293294294294294294295296295295295296295296295295294295295295295295295296297297297298297298298298297295295296297297297297296296296296299298299299298297295295296295294295295295295294296295295297297296295296296297297299298297298298297296296295294293294293291290290291292290291292291290293294293296289999999304299297294295295297294293293999294296294293295292292999999999999999999999999999999999999999999999999999999999999999999999999999299299299299298300300301302302302303303303302303303304304303303302302302302303303303303303303302302303303303302302302303302303302303303303303303302303303303303302302302302302302302302302302301300301301302302301301301301300300299299301302999301301301301302302302302300301302301301301301301300300300300300301300300300301301301300301301302303302301304304304304304304305305305305306307306307307307307306306306306306307306306305305306306306306306306306306305306307307307308306307308307308307307306307307307306306306307307306306307306306307307306305305305306306306306307306307307307307307306306306306306307307307307306306306306306307307306306306306305305306305305305305305305305304304303303304304304305305305304305304304304305305305305305306306306305305305306306306306305304305305305304304306306305305305304304304304304304304304304304305304304304305304304304303303303303303303303302303303303303303303303303303303304304304304304303303303303302301301300301301301301302302302301300301301301301301301301301302301301302301301301301300301301301301301300301301300301301301300300300300300300301301301301301301301301302301301301301301301300300300300300300300300300300300300299300299299299298299299298298298298298298298298298298298299299299298298298298298298298298298297297297298297296296296296295295295295295296296295295296296296296296296295296296295295294295295295295295295295295295296295295295295295296295294296296295295295295295295295294295294294295295293294294294294294294295294294294294295294293294293294294294293294293293294294293294294293292294293293292292293292292294293293293294294294294293294294294294295294 999999999999999301298297296296293295301298295295294295295296296296296296296295296296296296296294294295296296295295296296294293291290290290290291290290291291290292291291292292292292291291291291291291290291292292292292292292292292293292293294294295294294295294294294293294294294293292292292292293293294294295294294293294294294294294294294293293292292293293292292292293294294294295295295295295296296296296297296295295296295296296294296295297297297298297298297298298297296297297297297298297297297298298299299299298296297296295296297295295294293293295295295296297296296296296296297297297298298298298297296296296295294294295290291293292293291294292291294293294293291999999999999300299298297999296296294294294293295295294294292292293999999999999999999999999999999999999999999999999999999999999999999999999299299300299298298300301302304303302303303303304303303303303302303303303303304303303303303302302302303303303303303302302302303303303303302302303303303303304303303303302302302303302302302302301301301301302302301300301301300300300300302302302300301301301302302301302301301302301301300300300300300300300300300300300300300301299300300302303303303303305304304304303304305306304306306307306307308306306306306305305306306306306305305306305306305307307307306306306307307308307306308308307307307306306306306306306306306307306306306307306307306306304304305305305306306306306306306306306307306306306307307307307308308307307306307307308307308308307306306306306306306306306306305305305305304303304305305305305305305305305304305305305304305305304305306306305305304306306306306305305304305305304304305305305305304304305305305305304304304304305305304304305305305304304304303303303303303303303303303303304304303303304304304304304304304304304304303302302302301301300301301302302302302302301301301301301301301301302302302301301302302301301301301301301301301301300301301301301301301300300300300300300301301301300301301300301301301301301300301300300300300300301300300300300300300300299299299299299299298299298298298298298298299298298298299299299300300300299298299298298298298298297298297296296296296296295295296295296296296296296296296296296296296296295295295295295295295296296296295295296295295295295296296295296294296296295295296295295295295294295294294295294294293294295294294294295295294295294295294294293293294294294294294295294293293293293293292293293292293292294293294293293293293294293294294294294294294294294294294 999999999999999302301299297295296297298299297297297297295296297296296295296296297295297296295295296295295295295297296296294293292292290290291290290292291292291292292292292291292293292291291291291291291291292292292290292293293293294293294293293293294294295294294294293293293292291293292293293293294294295295294295293295295294294294293294294292293293292292293292292292293293295297294295295296296296295296296295296295295294295295294295296297297298298297298296298298297297297298297299297298299298298297299298298296297999999296295295296295297295294295296295296297296295296296297298298297298298298298297298297296297296297295293290291292293292292293292293294293290286999999999296297296296294294296296294294295295295295295294293294293999999999999999999999999999999999999999999999294999999999999999999999999300299300299299299301301303303302303303303304304303303304304303303304303303304304304303303303302302302302302302302302302302302303303303302302303303303303304303303302302302303302302302301302300301301302302302301301302300301300300300300299300301302302301301302301301300301300300300300300300299300300300299300300300300300300299300301301301301303302303303304304304304305305304305306307307307307306305306305306306306306305305305305305305305306306306306306306306307307307307305307307306306305306306306306305306306306306307307307307306306306305305305305305305305305305305306306306306306306307307307307306307307308307307307307308309308307308307307306307307307306306306306306305304305306305304305305306305305305304304306305305305305305305304305305306305306305306305305306305304305305305305305306305303304304304305306304305305304304305305305305306306305304305304304304304303304303303304304303304304304304303304304304304304304305305304304304303303302302302302302301302302302303303302302302302301301302302302302302302302302302302302301301302301301301301301301301301301302301301300301301301301301301301301301301301301301301301300300301301300300300300300300300300300300300300300300299300299299299299299299298298298298299299299298299299299299300299299299299299298299298298298297297296296296296296296296296296296297297296297297297296297297297296296295295296296295295295296296296296295296296295295296296295295295296296296295295295296294295295295295294294295296294294294295294294294294294294294294294293293293294294294294294294293293294293293293293293293293293293293294294293293294294294295294295294294294294294294294294 999999999999298298303300296296297296299297297297297298297297297296296297297297296297296295295296296296296295296296295294294293291291290290290291291291292292292291292291292291292291291292291290291292291291292292292291292293293294293294294294293295294295295295293293294295294293294293293293292293294295296296295296296296296295294294294293293293293293293292292293293294294294295295295295296295297297297298297297296295295295295296296295297297297298298298297299299298298298297298298299298299300300299299299299299298298999297299298298298297297296296296298296296297297296296297298298300298298297297299297297296296295296295295295291292293294292292293294293294295290999999999299296295296295294293294293292294294294296294295293292293999999999999999999999999999999999999999999999999295293999999999999999999296299299299299299299301302303302301302303304302303303303304304303304304303304304304304304303302302302303303303303303303303304303303303303303303303303303304304303302302302302301302301301302302302301302302303302302302301301302300300301300300300302302302301301302301300300300300300300300300300299299300299299299299300301300300300300301301301302302302301303302304303304304305306305305306306306307307307307306306306306306306305305304305305305305305305305306305306306307306307306307307306306305306306306305306307307307306307308308307307307306306306306305305305305305305306306306306305306306306307307308308308308307307308308308308308308308308307307306307306307306306306306305306305305305305304305305306305305305304305305305305306305305305305304305305305306305305305305304305305305305305305304305305304304304304305305305305305305305305306306305306305305304305305305304304304303304303304304304304304304304304304304304304305305305305305304304304303303303302303302302301301302302302303303302302302302302302302302302302302302302302302302302301302301301301301301301301301302301301300301301301300301301301301301301301301301301302301301301301300300300300300300300300300300300300300300300300299299299300298298298299299298298298298299300299300299299299299300299299298298297299298298297297297296296297296296296296296297297297297297297297297297296297296297297296295295296297296296296297296296296296296297296296296296296295295295296295296294295295295295294295296296294294295294294294294294293293294294294295294294294294294295295295294294294294294293293294293292293293293293293293292292293293293293294294294294294294294294294 999999999999999999999299296297299297298297297297298296298296297296297297297297297296296295295296296296295295297296294294294292291291291291291291292291291293292291292291292291291292292292291291291292291291292291292292293293294294293293294294293294294293293294293294294295294294294294293293292293294294295296296296297296296295295294294294293293293293293293292293293294295295295296295296296297297298298298296296295295295294294294297297295298298299300300298300298298298299299299298299300300301300300300301301301300299299299298300298297297298298298298297296296296297297297298298297297296297298298299297296295295295296296291291292289294295293295296295296295295287999999999299298294294295298296294293291294292292293295294291290999999999999999999999999999999999999999999999999297999294296999999999999296296298299299299300300301303303303301302302303302303304304304304303304304304304304304303304304303303302303303304304303303303303304303303303303303304303303303303302302301302302301302301301301301301301302302303302302302302301302301300300301302301302300301301299301300300301300300300300299300299299298299299300299300300301301301300300301301301302302302302301303304303302304304305305307306306307306307308307306307305305306305305304305305305305305304304305305305306306306306307307306307305306306306306306306306307306307306307307307306306307307306306306306306305305305305305305305305306306306306307307307307308309308308308308309308308308308307307307306306306306307306306305305305304304304305305305305305305305305305306304304305305304304304305305306305304306306304304305305305305307306305305305305305305305305304304305306306306306306306305306305306305305305305304304304305304303303303303304304304304304304303305304304305305305305305305305304304303303303302301303302302302302303303303303303303303302302302303302302302302302303302302302302302301301302301301301301301302302301301301301301301301301301301301301301301302302302302301301301301301301301300300301300300300301301300301300300300300300300299299299298297298298298298299299299300300300300299300300301299299298298298299298298299297297297297297297297297297297297297297297297297297297297297297297297296296296296297296296296296296296296296296296296296296296296296296296296296295296295295296295295295295295296295295295295295295294294294294294294294294295295295294295295295294295294294295294294293293293294293294292293293292294292293293294294294294294295294293293293 999999999999999999999999298296295295294299298298297297297298297296297295297296296296295294295295295296295296296295295294291291291290290290291292292292292292291291291290289291291291291291291292292291291290292293291292293293294293293294294295294296295295293294294293294295295295295294293294294293294294295295295296297297296295296295294294294293293294293293293294293294293296295296295296296296297296297297295295296296294295295295297296296295297298299299299299298299300299299299299300301301301301301301301999301300301999299301300299293298298297298295297296295297297297297298297298294297298298297298299296295298295294296296292293292294295296296296296294294292287279999999291296295296295294293294294292293293292294295293290288999999999999999999999999999999999999999999999295294999296296999999999297298298300300299299300300301302302302302302302302303303304304304304304304304303305305305305305304304304303303303304304303303302302303303304303304305305303303303302302302302302301302302301302302302301301301302302302303304303302302300299302302302301301301301301301301301300300300300300300299299299299300299300299300300301301301302302301301301302302302303302302302303303304303303304305306305306306306307308308308306306304305304305305304305305304304304304306306305306305305306306307307307306307307306306306306306307307306307307307307307307306306306306306306306306306305305305304305305305305306306307308307307308309308309308308308308307308308309308307307306305306306306306306306305304305303304305305304305304305305304305305304305304305305305305306305306306305306305304304304304304305305305305305305306305305305306306306307306305306306305305306305306306306305305305304304304304304304303303304304304304305304304305305305305305305305305305305304304304303302301302304302302303303303303302303303303303303302302302302303302302302303302303303303303302302302301302302302302302302302301302301301301301301302302302302302302302302302302301301302301301301301301301301301300301301300301301301300300300300300299299299299297298299299299299298300300300300301300300298299300299299298299298298298297298297297297297297297297297297297297297297298297297297297297297297297297297297297296296296296296296296297297296295296296296296297296296297296296296294296295295295295296296295296296295296296295295294294294294294294294295295294295294294295295294295294294294294294294293293293292293292294293293294292293294294294294294294294293292292292 999999999999999999999999999999298297297999297298297297297297297296296294295295295295296294294294294294296296295295293291290290291291291290291291292291291290290290290290291292292291291290291292292291291290292291292292292292293294293293294294295296294295294295294295295295295294294294293295294294294294295296295296296296296296295295294294294294294294294293294294294294295294295296296296297297298298296297296296296295295295296295296296297296296297299298299299299299300299300300300300301301301302302301299999299300999999303303300299299298298299298297296296296297296297297298296297298298299298297297296295296295296294295294293295295295295295295294294291289290286284284284289293296296295296295294295293295293294294292294291289999999999999999999999999999999999999999999295295295296296297297999298297298298300300299299300300301302302302302303302302303304303304304304304303304304305305304304304304304303303302303303304303303302303303304303304304304304304304304303303302302302301301301301302302301301303303302303304304304302302302302303302302301302302301300301301299300300300299301300299300299299300299300299300300300300300300302301301301302302302302303303302302302304303304303304305305306305304304306307307307307305304303304304303303304302304304303304305304304305306305306305306306305306307306306306305306307306306306307306306306306306306307306306306306306306305306306305304305305305305305306307307307307308308309308309308308308307308307308307307307306305305305305306306306305305304303303305304304305304305305305305305305305304305305305304305305305304304305305305304304304304304305304305306305304305305305305305306305305305305305306306306306306305305305305305305304303304304303303303304304304304304304304305305305305305305305305304304304304303303302302999999302302303303303303302303303303303303303303302302303303303303302303303303303303302302303302302302302302302302302302302302301301302301302302302303303302302303302302302302302302301302302302301301301301301301302302301301301300301300300299299299300300299299300299299299300300300301300300300299299299300299298298298298298298298298297297297298298298297297297297297298297297297297297297297297297297297297297297296297296296297296296295296296297296296297297297296297296296296296296296296295296295296295295295295296295295294294294293294294294295294294295294294296295294294294294294294293294294294293292292292293292292293294293292293293294293292293293294292292296 999999999999999999999999999999999999999999999999299297297296296296295296296296296295295295295294294295295296296294292291291290290290290291291291291292291289290291291291292293292291293292292292292291291290291291291292292291293293293293293294295295295295295294294294294295295294294294293293293293294294295294295295295296295295295294294293293293293294293293293293293294294294294295295296296296296297296297296296295294293293294294294295295295297297298297297298298299299299299300300300300301302302301301999999301301999999305305302301298298299298298297297295296297297298297297297296297297297298299298294295295294295294293292296295293293292290290290288288288290291287286285285290293296294296294294292295294293293292295294292289999999999999999999999999999999999999999999297297297298298297297999299299298300300300300300300301302302302303302302302303303304304303304304302304303305304304304305304304303303303303303303303303302302302302304304303303303303304303303303303302302301301301301300302301301301303302303303303304304302302303303303303303302301301301300301302300300300299299302300300300300300300300299299299300300301299300301300301300302303301301304303303301301303304303305304303303305305305305306307306306305305304303303303303302303303303303302303304304304304305305305304305305305305306305305305305306306306306306306306306306306306306306306306306307307305306306306305304304305305305305306306307307307308308308308309309309308308307307307307307307307307306305305306305305305305304304303305305305304304305305305305305304304304304304304304304304305305305305305305304304304304304303304306304304304305305305305306306305306305304305305306305305306306305306306306305304303304304304304304304304304304304305305305305305305305304305305304304304304303302304301301303302303303303302302302302302302303303303303303302303303304303303303303303303303303303303302302302301302302302302302302302302302302302302302303303303303303303302302302302302302302301301302302301301301302301301301302301301301301301300299300299299299298298300300299299299300300300300300300300299299298299298298298298299299298299298299298297298298298298297297297298296297297297297296297297297297297296296296296296295296296296296295296296296295296297296296296295296295295295296296296295295295295295294294294295294294294293294294294293294295295295294294293294294294294294294293294293293292293292291292292292293291293291291294293292293294292294294293293292296 999999999999999999999999999999999999999999999999999298297296296296294295295295296295294295295294295295295295295292291290290290290290290290290291292290291291291292291292292292293292292292292293293291292290291291291291292292293293294294294295295296295295296295294294294295296295294294294293293293293295296295294296296296295295295295294293293293293294293293293293293294294294294295295295296296296296297297296296296295295294295295295293295295295296297295298298298298299299300299299298299300301301301301999999301999999999999305303301301297298298296296296296296296295296296296296296296297296297297297295296294295294292294295297293296294288288287290288288290288285999999999286292297296295296294295293291295295295292293293291290999999999999999999999999999999999999999999298297297298298297297999297297298300300300300299300301301302302302301301301302303303304303303302303303303304303304304303303303302303302302302302303302302301301302304302302302302302302302302302302302301301301301301301300299300300302302303303303303303303303302302301301301302301301300301301300301301301300301302301301300299299298300300301300300300300300301301301300299298301301302302302302302301302305305305305304306305306305305306306305305304305304304302303302302301302302302302303302303304304305303304304304304305305305305305305306305304305305306306306306306306307307307307307306307306305305305305305304305305305305305306305307306306307308308309308308308307308307306307308308307308308307306306306305305305305305304304304304304303304304304305304304304302304304303303304304305304305304304305304304304303303303303303303304304304303304304304304305304305304303303305304304305305304304305305304304304304304304304304304304304304304304304304305305304305304304304304305304303303303303303302301300301302302302302301302302302302302303303303302302302302303303302302302302302301301301301301301301301301301301302302302301301301301301302301302302302303302302303302302302301301301301302301301300301301301300300300299300301300300301300299300299299298298298299299299299300300300300300300300300300299299299299299299299300299299298298298298297298298298298297297297297297297297297297297297297298297297297296296296295296296296296296296295295296295295297296296295296296296296296297297296295296295295295296293295296295295295294294294294293294293295295295294294295295295295295294294294292293293293293293293292293293294293293294293294292294295295295293294294293297 298999999999999999999999999999999999999999999999999300298296295295296294294295295295295294295295295295296295293292291290291290290290290290291290290290290291291291292292292291293292291292292292294292292292291292292292292293293293293294295294295295296296296294295295295296296295294294293293293293294295296295295296296295295296295294294293294294293293294293294294294294294295294295295295296297297297297296295295294294295295296295295295297297295298296296296297297298298298298298298298299300301301300999999999999999999999999999999302300299298297296296296295295296296296295296297297298297297299297297296295295296295294294294298294293290289291290290289290287286287999999999294292295297295294293293295294294296294293293294293292290999999999999999999999999999999999999999999297298298298298298999296296298300300300300300300301301302302302302302302302302302303303303302302303304303303303303303303303302302302302302302302302302301301301301301301300300300301301301302302301301301300300300301301301301301302301303303303302303302302302302301301301300300301301301301301300302300300300301301301300300300300300300301301300301299300301301300300298300300301301301302303302303303303305305305304305305305306305305306304303304304303303301301301301300299300301301301302302302302302302303304303303302303303304303304305304303303304304304305305305305305305306306305305305304305303304304304304304304305305305305306306306306307307307307307307307306306305306305307307308307307307307306305304304305305304305304304304304304303303303303303303303302303303302302303303304303302303304303303303303303303303303303303303304304303303303304304304304304304304304304304304305305305304304304305304304304304304304304304304304304304305304305305305304304303304304304304303303304304303303301303302302302303301302302302302302302302303303303303302303302303303302303302302302302301301302302302302302302301301301302302303302302302302302303303303303303303303303303303302302302303302302302302302301302301301301300300301301301300301301300300300300299300299300299300299299300300301301300300300300300300299299299298299299300299299299299299298298298298298298298298298297297297297297297297297297297297297296296296295296296295295296295295295296296296296296296294296296295296296297296296296296296295295295294295295295295294294295294294294294294295294295295295295295295295296294294294294292293293293293293293293293293292293294294294294294294295295295296294294296 298999999999999999999999999999999999999999999999999999300297296295295295295294295294295296295294294294294294293292291290291290290291290291291292291292291291291292292291290292291292292292293293293292291292292293292293292293294294294295295295296296296296296295295295294295295295294294294293292293294295295296296297296295294295295294294294294294294294294294294293294294295295295296296296296296297298298297296295294293293295296296295295296297297296297296296298297297298299297298300300300301301301299999999999999999999999999999999999999297297297296296295295295295295294294295297296296298299298296295295295294295294295294293293289289288289292291291290288287287286999999295292296295296294295293294295295293296293294293294294293999999999999999999999999999999999999999999999999297298298298298999296298299300300300299299300301301301302302302303302302302303302303302303303303303303303303303302302302302302301302302301300302301301301301300301301301301301301300301302301301302301301300300301301301301302302302303303303304303303302302302301300301301301301302301302301301301300301302300301300300300299300300299300301300300300300301302300300300301301302303303303303302303303303304304304304304305306306306306305305304304303303302301301300301300300300301301302302302302301302302302303303303303303303303303304304304304303304303304305305305305305305306305306306305305306305305304304305304304306305305306305306306306307307306307306306306306306305305307307308306308307307307307306305304305305305306305304304304304304304303303304303303303303302302303302303303303303303303303303303303303303303303303303303303304303303304303303304304304304304304304304304305305304304304304304305304304304304304304304304304304304305305304305304304304303304304304304304303304303303303303303303303303303303303302303302303303303303303303303303303302302302302303302301301302302302302302302302302302301301301302302302302302302302302302302302302303303303303302302302302302303302302302303302302302301301301301301301300300300301301301301300300300300299299300300300300300300300301301300300300300300299299299300300300300299299299299299299299298298298298298297298298297297297297297297297297297297296296296296295296296296297296295296296296296296296296296296297296296296296296297296296296296296296295295295295294295295295295294294294295294295295295295295296295295295295295295294293293294293293292293294293293294294294293293295294294294296295296294293296294 299999999999999999999999999999999999999999999999999999999298297297295296295294295295294295295296294295293293291290290290290290290290289290290291290291291290290291292291292291291292292291292292292293292292292293293292293293295293294294295295295296295296295296294293293296295295294294294294293293295294293296296296296296294296295295294294294294294294294294295294294294295295295297296297297296297298297297295296294294294296296297297297297296298298297298298297297298299300300299300300300301301999999999999999999999999999999999999999999297298298297296295295296296295294295295296295296299299299297295295293293295295294294294289287288290294294291289289289287286285285290295295295295295294295293294295294294297295295294295295294293999999999999999999999999999999999999999999999297298298298299298296298299300299299298299299301301301302301302302302302302302303302302302302304304303302303303302301302302301302302301300300300300300300301300300300300300300300301300301301301301301301300301301300300300302302303303303302303303303303302302301301301302302301301302302302301302300300300299301300300300299299299299299299301300301300300301300300301301301301303302303303302303303303303304304303305305305306306306305305304304302301300301300299299299299299300300302301301301301301302302302302302303303302303302303303303304304304304304304304305305305305306305305305305305305305304304304304304304305304305305305306306305306306305307307305305305305305306306307306306306307307308307306305304305305304305304304303303303304304304303304303303303302302302303303302303302303303303303303303303303303303303304304304304303303304304304304304304304304304304303303304304304304304305304305304304304304304304304304304304304304304305304305304304303304305304304305304303304303303303302302302303302302303302302303302302303303303303303303303303302303302302303302301302302302302302302302302302302301302302302302302302302302302303302303303303303303304303303303303303304303304303303303303302302303302301301301300300301301301301301300300300300300300300300300300300300301301301301301301300300300299300300300301300299299299300300300299299298298298298298298299298298298297298297297297297296296296296297296296296295295297297296296296296296296296295295296295296296296297296297295296296296296295295294294294294295294295295294294294294295295295295296296295296296295295295295294294294293293293292292294294294294294294294295295295294295295295295293293295294 299299999999999999999999999999999999999999999999999999999999299299296297294296295295294296295296295294293291290290289289290291291290290291290291291290292291292291290291291291290292292292292293293292292293292293293293293293294294294295295295295296295296296296293296294294294294293293292292293293294292294295295295295295295295295294294294294293294293293293293294293294295296296297297297297296297298296298296296295295295296295297297296297297296296298297298297297300299300300300299301301300999999999999999999999999999999999999999999999298300298297295295295295295296295295296296297297299299299298296294294293294295293290289288288288291293292291288287285284286286293295294296296295296295294295294296294295296295294293294295296294294999999999999999999999999999999999999999999999297298298298297297298299300299298298299300301301301301301301302301302302303303302302302302303303303302302302301302301301301301301301300300300299299300300300300300301300300301300300300301301301301300300301301301300300301302303302302302302303302303302302302302302302302301301301301301300301300300300300301300301300300299300299299300299300301301301300301300300301302301302302302302302303303304303305305304304305305305305304304304304303302301300300299299299299299299300300300300301301302301301302302302302302302302303303303303303304304304305305305305305305305306306306305306306304304304304304304303303303304305305305305305305305306305305306306304306306305305306305306305306306307307308306304306304305304303303303303303304304304304303304303303303303302302301303303303303303303303303304304303303303303303304304304303304304304304303304305304304304303304304303303304304304304305306304304304304304304304304304304304304304304304304304304304304303303303304304304303303303303303303303303303303303303301302303303302303303303303303303303303303303302303302303302302302302302302302302302302302302301302302302302302302302302302302302303303304304304304304304304304304304304304303303303303303303303302302302302301300301301301301301301300300300300300300300301301301301301301301300301300300300300300299300300300300300300300299301300299299297298298298298298298298298297298297297296296296297296296296297296296295295296296296296295296297296296296295296296296295296298297297297296295296295296295295296295295294294294294294295295294295295295295297296296296296295295295295295295294294294293293293293293294294294294294294295295295294295295296294295293294299 299299300999999999999999999999999999999999999999999999999999999999999300299299296296295294295295294293292291290290289290291291291292290290290292292291292290292291290290290291291291291294294293292292292293292293292294294293294296295295295295296296296295296295296296295295294294293293294294290293293293294295296296295295295294294293293294294294294294294294294293294295295296297297297297298297298297297296296295294295295296297297297295297296296298297298297301300300300299300301302301302302999999999999999999999999999999999999999999297297301299295296295295294295296296295296297297297298298298296296295294293292292289287286289289287285291294292286283285286286288291296295294294291296296293295296295294295296295295293293295295295294294999999999999999999999999999999999999999999296296297297296297298299299298298298299299300301300301301301301301301302302303302303302302302302302302302301301301301301301300300299300300300299299299300300300301300300300301300300300301301300300300300300300300300300300301302302302302302302302301301302302302302302302301301301301301300300300300300300301299301301300299299300300300302300301301300302301300301300302302302302302302302302302303302304304304303304305304304303304304303302301300300300300300299299300300301301301301300302301301301301302302301301300301302303302302302303303304304304304304305305305306306306306306306304304304304304303303303302303304304304305305305305306306305305305306306307305306305304305306306306306306306305304306305305304304304304304303304303303303303302302302302302302302302303303302303302302303303303303303303302303302303304303304304304304304305303304304305304304303304303303304304304304304304304304303303303303303303304304304304303303304304305304303304303303303303303303302303303303303303303303303302303303302302303303302302303302302302303303303303303303302302302302302302301302301302302302302301301301301302302302302302302302302302302302303303303303304304303303304303303304304304302303303303303302303302302302301301301301301301301301300300300300300300302302301302301301301300301301300300300300300300300299300300299300300299300300299298298298298297298297297298298298298297297297296296297296296296295297296296295296295296296295296296295295297296296296296296296296297297298296298295296295295296294295295295294295295295295295295295295295295296296295297295295296295296295295295295294294295294294294295295295296295294295296296295295296295295294293294299 299300300999999999999999999999999999999999999999999999999999999999999999300298296296295294293295294293292289289289289289290291291291291292292292292292291291291291290292291291291290291292292292292293292291291293293293292293294295295295296296297295296296297297295296296295294294293293294294293292293294292295295294294293294295294294294294294294294294294294294295294295296295295297297298299297297298298298295294295296296296298297296294293295298298298298300301297300299299302303303303302999999999999999999999999999999999999999999999292299298298298298298297296295296296296296297298298298297298298297295294292292286286288288289288287285999290292292284284285294290295298296296295295294293292296295296295295296296295294294295296295295295295293999999999999999999294292999999999999296297297297297298298298298298298298299299300300300301300301300300302302301301301302303302302302301301301301301301301300300300299299299299299299299300300300300300300300299299300300300301300300300300300300300299299299300301301301301302301302301301302302302302302301301301301301300300300300300299299299300301301301301301301300301301301301301300301301301301300300301301302302302303302301302302302304303303303302303304303302302302303302302300299299299300300300300300300300300301301301300301300300301301300301301300301301302301302303302303304304304305305305305306306306305305304304304305305304302303303303302302304304303304305305304305305305305306306307306306305305304305305305305305305305305305304304303303304303303303303302302302302302302302302302303302303303302303302301302304304303303302301302303303304303303303303304305305305305303304304304305305303304304304304304304304304304303304303303303303303303303303303303303303303303303303303303303304303303303304303303303303303302303302302302303302301303303303302302302302302302303303303303303303302302302302302302301301301302302301301301300301301302302302302302302303303302303302303304304303303303304303304303304304304302303303303303303302302302301301301301301301301301301300301300301301301301301302302301301302301301301300300300300300300300299300300300300300300300300300297297298299298298298298298298298298298298297297296296297296296296296295297297296296296296296296296296297297296295296297297296297297298297297297297296297296298295295296295296296295294295295296295296295295296296296296297296296296296297296295296295295295294296295295295296296296296296296296296295295295296296295295300 299300300300999999999999999999999999999999999999999999999999999999999999298296295295293294293294293293291289287287289290289290292291291291291292291291292292292290289290291290291290290290291292291291291292292292292293293293293294295295297297297296296296296296297296296295293294292292292294293293293293294294294294294294294294293294294293293294294294294293293294293294295296295296296298298298298299298297296295296296296299299298296296294293297299303299301299298300303300304303304301302999999999999999999999999999999999999999999999999298295999301298299299297296295296296296297298298298298298299295295293285285286288291291291288284999999999999999286288293297293297298295296298297297295294295298296296297297298295294295297296296297296296295293292999999999999294292999999999999296296297297297298298298298298299299299299300301300300300300301301301302302301302302302301301301300301300301301301301300300300300300300300300300299299300300301299301300300300300301300301300300301300301301300300300300301301301301302301302302302301302301302302301302302301302301301300300300300299300301301300299300300301301302302302301301300300302301302303303301302302302301301302303302302302302304302304303302302303303302303302302301301301300299300300300300301301301300300299300300301301301301301301302301301301301301302301303302302303303303304304305305306306305305305305304304303304304303303303303302302303304303304304305305305306306305306306306306306305306306306306305306305305305305305305304305303304304304304303303303303302302303303302302303303302303303303303302302303303304303303303301303303304304304304304304304304305306306306305306305305304304304303304303304304303305304304304304303303303304303303303303303303303303303304303303304303304304304303304304303304303304304304303302301301304303303302303303302303302302302303303302303302303302302301302302302302302301302302302301301301302302302302303303303303303303303303303303304304304304304304304305304304305304304304304303303303303303303302302301301301301301301301302302302302302302302302301302301301302301301301302301301300300301301300301300300300300300300300300299298298299299298298298298298298298298298298297297297296296296297296296296297297296297297297297296296296297297296296296296297296297297297297296297297297297297297296296296296296296295295295295295295296296296296296296296296296296296297296296296295295294295294296296296296295296296296296295295296296295294295294295300 299300300300999999999999999999999999999999999999999999999999999999999999999295294294294294292294292292291287286288288288290290290290291291291291291291292293293291291290288291291292291290293292291291291291292292292293293292294295295295296297297296296296295295296295296294295294293292292293292292293293294294295294295294294295294294294293293294294294294293293293294295296294295295298299297298298298297297296296298298298300297297295296296297298299301299299300299301303302303304302302999999999999999999999999999999999999999999999999999999999999999302299298297297297297296296297297298298298298296292290287286287290289292291292288282281280288289291293295297299298296296298299297297298298296298297296296297298297297296297297297297297296296295295294293292293291297999999999999296296296296297297298298298298298298299300300300300300301300301301301303302301301301302301302302301301302301300301300300300301300300301300300300300300300300300300300300301301300301301301301300301301302302302301301300300301302302302302302302302302302302302302302302302302302302302302301301300301301301301301301301301302301302301302301300302300300302303303302302301301302301302301301302302302302302304303303302301302302303303302302302302301300301300301300302300301301301300300300299299302301301301300300301302302301301302302302302303303303303304304303305305306306305305305305304304303303303303303303302302302303302303304304305305305305305306306307306305306305306306305305307306306306306306305305305304304303304303303302303303303303302301303302302302303303303303303303303303303303304303304304303304303304304304304304304304305305306306307306305305304305305303304304304304304304304304304304304303304304304303303303304303303303303304304303304305304304303305304304304304303304304304304304303302302303302302302302302302302302302302302302302302302302303304303302302302302301302302301302301301301302302302303303303303303303303303303304304304304304304304304303304304304303304304304304304303303302303303302301302301301300300301301302302302302301301301301302301303301302301301301302302300300300300300301301300301300299300301300300300299299299298298298299298298298297297297297297297297296297296296296296296296296296296296296296296296296297298297296296296296296297297297297297297297297297297297296297297296296296296294295295295295295296296296297296297297296297297297296296296296296295295295295296296296295296296295295295295295296295295295294295300 299300300300999999999999999999999999999999999999999999999999999999999999999999295294293293291293293292290289286287288287290289289290290290290292291291291291292291291291291289290291291291291291290291292292292292292292292293295294295295294296296296296297297295296295295295293292292291292293292292293293294293293294294293294294294294294292292292293292292293293294294296296295296298299298299298299298297298298299298299299300299299298297297297299298298299300298301299302301303304302999999999999999999999999999999999999999999999999999999999999301299299999999297297297297298297296297297297297295293292291289289291291289292294291286282280283290293293295298296295298297298298298295298297298298298297298296297297297298296297296296296296296295295295294294293293292291999999999295297296296296297297298298298297298298299300300300300300300300301300301301300300301301301301301301301301301301300301300300299300300301300300301300300299300300300299301301301300300300300301301301302301301302300300300301300302302301302301301301301302301302302302302302302302303303302302302301300301301300301301300301301301301302301301301301300300300301302302302302301300300302302302301302302302302302302302301301302301301302303302301300300301300300299300300300301301301301302301299299301302302300300301300300302301301301301301302302302303303303303303302305304304305304305305305304303303303303302303302301301301302302302303303303303303303304304305306306306305305306306306306306306306306306306306304304304304303304303302302302303302302301302303303303303302302302303303303304303304304303303304304303303303304305304305305304304304305305305306306304305305305304304303304304303303304303304304304304303304303304303304303303303303302303303303302303303304304304305304303304303303304303303303303302303301302301301302302301302302302302303301302302302302302302302302302303302302302302302302301302302301301302302302302303303303303302303303304304303304304304303304304304304304304304303304304304304303303304303304302302302301301300301302301302302301301301301301301302301301303302302301302301300301301300300301301300301301300300300301300300299300299298298299299298298299298298297297297297297297298298297297297297296296296297296297296296297297297297296296297297296297296296296297296297297297296296297298298297297297296295296296296295295296296295296297296296297297296297297297296296296295295296296296296296295296296296295294295295295295295295295293296300 300300300300999999999999999999999999999999999999999999999999999999999999999999999291292293292292291293288287287287289287288289291290290291291291290290291292293291292290290291290290290291290290292292293292292291291293294294294294296297297297296296297296298297295295295294294294293292293293294294296294295295293293295295294294294293294293293292293294292292293293293294295295297296298299298296297297298298298297299298298299296298297297298297298296299301301299298300303303302299302999999999999999999999999999999999999999999999999999999999999999999999999999999999298298298298298299297296296295295293292291290290289290293293289286281282289294297296297297295296298297298299298296297298296296298296298299297297297297296296296296296295294294294294294294293293293293292999295295296296296297297298298298297297298298299300299299301301301300301301301301300301300300301301301301302301301301300301301301300299301302301301300301300300299299300301301301301301301300301301301301302301301301300300301301300301301302302300300301302301302301301302302302302302301301301302302302302301301300301301300300301302302301302301302301300301301303302302302301301300301302303302301302301301302302302301301301301301301301301302302301301301300301300300301300301302302301301300300300301300302301300301301300300301301301302302302302302303302303303302303304304305304305305305305304303303303303302302301301301301302303302304303303303304303303304304305304304305306304304305306306307307306306305305305305305305304302302302303302303303302301302302302304303303303302303303303303303304304304303304303303304304305305304304304304304304305306305306306306305305305304304304304303303303303304305304303303303303304304303303304303303302303302303303302302303303303304304303304304303303304303304303303303302302303302302302302302302302303302302303303303302302302302302302302302302302302302303302301302302302301302302303303303304304303302302304304304304304304304303303304304304303303303303304304304304304304303304304303302302302301301301301302302302302302302301302301301300301303302303302301301301300300300300300300299300300299300300300301301300300299298299298299298298298298298297297297297297297297297298296297297296297297297296298297296297297296296295295297297296297296296297297297297296297297296298297298297296295297296295295296295296295296296297298296297297297297298297297297297296296296296296296296295295295296296295295296296296294294295294294296301 300301304303999999999999999999999999999999999999999999999999999999999999999999999999999293293292293292289288287288288289289290290290291289290289290290291290290291293291291291291290289291290291291291293293292293293293294294294295296296297297296296296297297295295296295294295294293293293293294294294294295295294294295295294294294294293293293293292291293292293293294295296295296296298299299297297298297300299299298298298298297298298299298299298299298301301300298299299300301302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298297299297297297296296295295293294292292292293291288284284291285292295297298296295297297297299299299300297297297298296296297299298297297297296296296296296296295294294293294294294294294294293293292293296295295296296296298297297297296297298299299300299300300300300301300301301300300300300300301301301300301301301301301301302301300301301300302301301298299300300300300300301300301300300301301301301301300300300300300301302301301301301301301301301301301301301301302302301302301300301301301301301301301301300301301300300300301302301301301301301300300300301301301301302301301301302303302302302302302301301301301300300302301301301302301301301301301300301301300300301299300303301301300300301300301302302301301301301301301301302302301302302301302302303303303303303304304304305305304304303302302302302302302302301302302302303303303302302303303302303304304303302303304303305303304305304307308306306305304305306305304303303302302302302302303302301301303302303304302303303303303303304304304304303304304304304304304304303303305305305305305305306306306305305305306304305304304304304303304303304304303303303303303304304303304303304303303302302302302303303303304304303304303304304303304304304304304303303302303302302302302302302302302302302303303303302302302302302302302303302301302302301302302301302302302302302302303304304303303304303302303303303305305304304303303303303303303303302303303304304304304304303305303304303303302301301301302302302302302301301301301301301300301302303303303302301300300300300300300300299300300300301300300300301300300300299299298298298298298298298298297298298298298298298297297297297297297298297298298297297297297297297297296296297297296296297297298297298297297297297297298297297297297297296296296296296296297297296298298298297297297298297297297297297297297297297296296296296296295296296295295295296296296296296295295296302 300300999300999999999999999999999999999999999999999999999999999999999999999999999999999999294293292290289288287288288289290290292292292290291293293290293290290290292291291292291290290290290291291291293293293293292294295295297297299298299297297296298297299296299297297296297296296296295294295295295295295296295295294294295294294294296294294295293294293294293295295296297297297297298299300298297300299300297294299298298298300300299300300301301302302302302301305302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298294295296297296295295295295294293291288286282283289291293295297297297296296296297298298298299299299299300297299298298298299297297298297297298298296297295295294294293294294294294295294293294293296296296297297297297297297297296298298299300300300300301300301299300301300300300300300301301302301301301300301301301301301301301301300300299300300299298299299299300300301301301300300300301302301301300301300300300300302301301301301300300301300301301300301301301301301301301301301301301301301302301301300300301302301301301301301301300301301300300300300300301301300302301302301300301302302301301301301302302300300300301300301301301301301301300300300300300299299301299300300301300300302301301301301301301300302301301301302301301302302302302302302302302302303302303303303304303302302302302301302302301302302303302302303302302302303303303304304303303303303302303303304303303304305306306306306306305305305305304304303303303303303302302302302302302303302303302303302302302302304304304304304304304304303303303303303303304305305304304305306305305305306305304304305305304304304304304304303303303303302303303303303304304303303303303302302302303302303304304304303303303304304303304304303304302304303303303302303302302302302302302303302303303302302303302302302303303302302302302301301302302302303302302303303302303303304304305303303303303303304304303304303303303303302303303303303304303303304304303303303303303304303302301301302302302301302302302301301302302301301303302302303303303303302302301301301301300300300300300300300300300299300300300300299299299299299301298298298298298298298298297298298300299298298298298298298299299300298298297297298297298299298297298297298298298298298298299298299299298298299299298298298297297298298296297297298299299298299298298298298298298298298297297298297297297297296297297296296296296297297297296297297297296297301 299299999307999999999999999999999999999999999999999999999999999999999999999999999999999999999293292291287288286287288288288288289290289288289289290289289290292291292291290291290290291288288290289289290292291291291294294294295295297296296295295298298296296294296295296296294296295295296295296295293296294296295296293295295294295295294294294295295296294294295295296297295300299299299300300298297298299299298297298300297298299300301302299303304304302300301301301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296297296296296296295294294292288287284289293295297297298299300299297298298300300299298300301301302303301300301300299300300299299299299298298297297296295295295294295295296295295295296297298297297298298298297298297297298299299299300301300302302301300300301301301301301301301302302301301302301301301302301301300301300300300300299299299299299298299299301301301301300301301301301301301300299300300300300300301302301301301300301301300301301301301301301302301301301301302301301302302302301300302301301302302303302301302302303301301301301301301301301301302302302303302301301301302302304302301302302301301302300302303302301302301302301301301300300301300300300301301299300301302302302301302303303302301302301302302301301301302303303303302302302302304302303303302302303303302302301302302301301302302303303302303303303303303304303303304303302302301302303303303302304305305305306306306306305305304305305303303303303303303302303303302302303302303303303303303303302303302304305303304304304304303303304304304304304304304305306305306305306306306306305305306306305304304304304304304304306304303304303304304303303303303303303303302302303303303304304304303303303303304304304304303304304304304303303303303302302302302303303303304303304303303303303302303303303303303303303303303303302302303303303303303304304304305305304304303303303303304304303303303304303303303303304304304304304304305304304303303303304305303303303303303302302302302302302302302302302303303303303303302305304303302301301300301301301301301301301300300301301301300301301301300300300300300300299299299299299300299298299299300301299298299299298298299299299300299299298298299298298298298297297297297298298298298298298298298298298298300299299298298298298298298298297297297298299298299300300299298298297298297297297297297297297297296296296296297296296297297297297296296297296296301 300301301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290287287286287287288287288289290291289290290288290289291290290291290289291291290290291291291287289288289291292292293293294295294296296296296296296296296295295295296295295294294293294294294295293293291293294295292295295295294293294293294293294293294293293295297297296296296297298298297298297297299298296296297298297296298299300299299297301302302301300301300302302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289294297295295295294292292999293290289286288292294297298297298300298298297297299299299301301299301301299300300299300299298299299299298298298299298297296295295295295295295296295295296297297298298297298298298298298297298299298299299299301300300301301299299301300300299301300300301301301300300300300300301301300300300299300300298299299299299299299299300301301301302301301301301301301300301300300301301302301301302302302302301301301301300301301301302301302302302302302302302302302302302301302301302302302302302303302303303303302302301301301302301301302301303303303302302302302302302302302301303303302302301301301301302302302301301301301301300301300301301302302302302301303302302302302303304303302301301302301301302301302302302302302303302303303303303303302302302303302302302302302302302302302302302302302302302304303303304305304304303303302302302302302303304305306307307306306306307306306305306306304304304304304304303303303303304304303303304304304302303303303305305304303305305305305305304305305305306305305305305306305306305305305305305305305306306306306305305304306305304304304303303304303304303302303302303303303302303303303303303303303303303303302303303304303303304303304303302303303303304303302303303303303303303303303303303303302303303302302302302302302302302302302303303303303303304304304304304304304304303303304302304304303303302302302302303303303304304305305304304303303303303302303302302302303302302302303302302302302302302302303302302302302302302302302301301301301300301301301300301301301301300300301301300300301300300300300300300299299299298298298298299299299299299299298299298298299299299298299299298298298298298298297297297297297297298298299297298298298298298297297297298298298298298298298297297297296297298297297298298299298298298297297297298297297296296297295296296296296296296296296296297297296296296295296300 300302302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288288287286286287288288287291291291292290289289289289289291290291289288289290290290290289290289290288289289292292293294294295296296297296298297297296296295296296295296295294294294294295293293292292293294294294296295295294295295295294295293294294294294294297297297297296293297299298298299297296297300298298297298297298297299299299299300300302302302302301302303305306301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292296296294294293292999297297297294294294295295295296297297298300300297297298298298300300299300301301301300299300299298298299299299299298299298297295295296295296295296295296296297297296297297298297298298298298297297297298298299299300300299300300299299299299299300299300301300300299299299299298299299300301300299300298298298298298298298298298299299301301301302301302300300301301301300300300300300300300300300301302302301301300300300300300300301300301301301300300300301301301300300300301301302302303302303302303302302302301301300300301301300300302302302302301302302301301300301300302302301303300300299300300300300301300301301301301300301301301301301300300301301300300303301301301301301301301301301302301301301301301301301301300300301302303303302303303302301302302301303301301301301301302301301302301301301302303302302303304303304304303303301301302301303304304304306305305304305306305305305305305304303302303301302302302302303303303304303303303303302303302303303303303303303303304304304303304303303304304304304304305305305305306305305305304304304305305306305305304304305304304304303303303303303303302302302302302302302303303303302302303302304303303303304303303304303303303304304303304302303304302303303302303303303303303303303303303303303303302302302302302301302302302302302303303303304303304303303303303303303304303303302302303302302302302302303302302303303303303304303303303303303302303302303301301301302302301302302302302301301301302302302301302302302302302302301301301301300301300300301301301301301300299300301301301301301300300300301301301300299299299299297298299299300301298298299298298299299299298298299299299299298299298298298297297298299299299299298298298298298298298298299298298299298298298297296296297297297297297297297298298299298298298298298298297297298298297297296297297297297296296296297297297297297296296296300 300302302304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288288286288287287288288291291291291291291290291291289292290291289288289290289289288290289289289288289289290292293293294295294296295297297297296297297295296296296295295295294295294294294294294294294294295295296296296295295296295294295293294295294294294296298299298297295297297295299298295296297300300298298297297298296298300297298300301302301302302300301306307307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294294295295293292291290296294296296297298298299298297298298298300299300300300299298299300299299301301300299299300300299299298299299299299297298297297295296297297297297296296295297297297297297298298298298298298297297298298298298299300300300300299300299299299298298299300300300300297299299299298298298298299298298299299298299299298299298298299298298299300301301301301302300299300300300299300300300300300300300301301302302300301299299299299300300300300300301300301300301301301301300301301301302301302302302302301302301301302301301300300300300301301302302302301301302299299300301301301301301300301300299299299300300300299300300302302301301300302301301300300299300299300301303301301301301302300301302301302301301301300301300300301301301301302302303300301301302301302302301301302301300300301301301301301301301301300302302302302302302303303303303301301301300302304303303304303304305305304304304305305305304302302301302302302302302302302303303303303303303303303303304303303303303303303304304304303304304303303304304305304305304304304305305305305303304304304304305305305305304304304304303304302303303303303302302303302302302302302302302303303303303303303303304304303303304304304304304303303303303302303303303303303303303302303303303303303303302303303302302302302302302302302302302302302303303303304304304304303303303304303304303302303303303303302302302301302303303304304303303304303303302303302302302302302302302301302302302302302302302302302303302303302303303302302303301302302301301301300301301301301302300301301300300300300300301301301301301301301300300300300300299299299299300300301300300300299299299299299298298298299299300299300299299298298298299299298299299299298298298299299299299298298299299298299298298298298297298298297297297298298299299298298298298298298297297297297297297296297297297297297297297297296296296296296296296300 304302303303300999999999999999999999999999999999999999999999999999999999999999999999999999999999999286288287286288287288289290291291290290292292291291292292290292290290291288289289288287288288287288288288291290291292293295294295296296296296296297297296296298296297295294295295295294294294294294294294293295295296297297294295296294295295294294294295297295296296298296297297296296297296296297297298296298297297297299298300300301300302300301303301999999304302306306999999999999999999999999999999999999999999999999999999999999999999999999999999999999295297296999999294294294295295293295294294292288289294294297297299299299299299298299299298301301299302301302299300300300301298300298299301300300299298298299299299299299298297297296297296298298297296296296297297297297297298298298298298297297297297297298299299299299299298298298298298300299298299300299299299298298298298297297298297298298297300299299298298297298298298298298298298299299298299301301301299299300300299300299300301300299301301301301301300300299299299299299299300300300301300300300300301301300301301301301301302302302302302301302301302301301300299300300300301300301300300301300300300299299300301301301301300301300301299299300300300299300301301302300301301301301301300301300301299299301302302301301301301301301302301301301301300301301300300301301302301301302302301300300301303303303303301301301300300301301302301301301301300300301301302301301301302302303302302302300301302303302303302302303304304303302304304304303303302300301301301302302302302302302303303303303302303303303304302304304303303304304302304303304304304304303304305305304303303303303304304304304303304304304304304305303304303303301304303303304303302303302303303302303303303302303302303303303303303303304304304303304304304304304304303303303304304304303303303304304303303303303303303304304303303303302302302302302301301301302302302302302303303303303303303303303304304303304304303304305303302302303301303303303303304303303304304304303303303302302302301302302302303302302302303303302302302302303303303304304303303302301301302301301301302302301301301302302302302301301302302301302302302302302303301301300301301300301300300299300300299300300301300300299300300299299299299300300300300300300299299299299299298298298298298299299299298299299298299299299299299300299299299298298297298298298298297299299299299298299299298298298298298297297297296297297297297297298297297297297297296297296297301 302301302300296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287286286286288288289290287291291292291290293292291291291290290290289289289288287286286286288290290291292293294295297296295295295297295296297297297298297296297296295295295294294296294293293295294294296295295295297297294294294298295295293295296296296297297298298296297296297298299297297295297299298298298299302300302301301302302301302300999999999301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294297295296296296295295295294291297291293294292293296296299298299299299300300301300299299300301300301301300299299300301301300300300300301300300301299300299299300300300298299299298297298298297297297297297298297297298298298298298297297297297297297298298298298298298298298298298298298298298298299299299300299299298298298298298297297298298298298298299298297297298298297298299297297298298298299300300299300300299299300299299301300301300299300299299300300300300300300299299299300300299300301300301300300301300301301301301299300301301302302302301302301300301300300299300301300300300301301302300300301300302301300300300301300299299300299300300300300299300301301301300299301302302301300300299300300300302303302303303303301301301301301301301301301302301301300301301302301302302301301300300300302303302302302301301301301301301301300301301300300300300301301301301301302302304302303303301302303302304302302303302303302302302303302302303302302302302302301301301301302302302304303303303302303304304304304305304303303305304303304304304304303303303304304304303303303303303303303305304303304304304305303304304304304302302303303304304304304303303303303302303303303303303303303303304304303304305304305304304305304304304304304304304304304305304303303303303303303304303304303304303303303303302302302302302302301301301302302302303303303304304303303304303303303303304304305304304303302302302302302303303303303303304303304304303303303303303302302302302302303302304304304303303302302302302303304304304303303303302302302302302302302302302301301302302303303303301302302301302302303303302302301301301300301301301301301301301301301301301301300299301300300300299299300300300301301301300300301301300300299299299299299299299300298299299299300301300300301300301300298299299298298298299299298299298298299299299299299300299299298296298296297297297298297298297297298298297297297296297296301 298297298300295293999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285287285287288289289289292292291292293292292292292291290289289291290289289288290288290289287292288289293295295297297296296295295296294297296297297299298298296296295295295295295295294294295294296294295295296296296296295294295296294294295296296296298299297298299296297298297297298298297296299299298299301301303300304305303306306305304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294297297296297297296295294292291299294294295294293295297298298299300300301299301302303299301300301300300299299300299300299300300298298301301302301301301300301301300300299299299299298298298299298299298298298297298298298298298298298297297297297298298298298299299299298297298297298296298298297299299298298298297297297297297297298297298297297297297298298298298298298298298298298298298298298299299298298299300299299301300299299302301300300299300300299298299300300300300299300301300300300300300300300301301300300300301301301301301301302302302302301301300300300300299300300300301300300300299300300300300300301300300300301301298299301300300300299300299300300301301300300300302300302301300300300299302302302302304304304302302302302301301302303303303301301301301301301302302302299301300300301301302301301302302302302302301301302301301301300301300301301301301301302303302302303302302302302301302304304303303302302303302302302302302302303301302301302300301302301301301302302303303303303303303304304304304304303303303303304304304303303304303303303303303303303302303303303304304304303304304304304303303305305305305304304305305305305305303303303303303303303303303303303304304304304304304304304304304305304304304304304304304304304304304304304303304304304304304304303304303304303303303302302302302302301301301301301302302303303303304304304303304303303303303303305305305306303303302301302302302304304304304304303304304303304306305304303303302302304304304304304303303303304303302302303303304303303303302302302302302302302302301302302301302302302302303302302302301302301303303303302301301301301300300301301302302302301301301302301300300301301299300299300300300300301301301301300301301300300300300300301301300300301300300299300300301300302300300300300299299299299299299299299299299298298299299299299299299298298297298297297297298297298297297297297297298298297297298297298301 299300299298299293999999999999999999999999999999999999999999999999999999999999999999999999999999999999284288287286287287289289290290292292293293292292292291291291290290289289291290289288290288288289289290290292294295296295294294295295294295295296297297299298297295295297294294295296295296294295296296295296295296295296296298298294296295295296297294297297299298296295298300297298296298298296297298299297302300299301304307303296306302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296295296295296295294293292292296293293295295294295297298299299299300301301302301302304299301301300300299300300300300299299301301301301301300301300301301301301299298298299298298297296298298299299298297298297297296297297297298297298297297297298299298299299298298297296297297297297298297297298298297298297297297297296297297297297297297296296297298298298297298298298297298297298297297296298299297297299300299299299298299299300300301300300298300299299299301300301300300299300300300299299299300300300300300300300300301301301301301301301302302302302301300300300298300300300300300299300300299300300300301301299300301301301300300299300300300299299299299301302302301302301301301301301299301301301300301301303304304304303303303303302303303304304304301300301301301301301302302302301301300300300301301300301302303302302301301301301299300299301300301300300301301301302302303302302302302302301301303304303301301301301305301301301301301301303301301300301300300301301302302302303304303303302302303304304304304302303304304304303303304303303303303303303302303303303302303303303304305304304303304305304304306305305305304304304305305305304303303303303303304303302303303304304304306305305305305304305305305305305305304304303305303303304304305304304304304304304304304304304304303303303303303302302302302301301301301301302302302303303303304304303304304304303305304305305305303305303303304303302304304303303304304304304304303305305304304304304302303303304304304303303303303304303303303303303302302303303303302303302302302301301302302301301301301302302302302303303301302301304302302302301300302301301301301302302302302302301302302300301301303301300300300300301301301301301301301301300300300301300300300301302301301301300301301301301300300301300300299300300299299299299299299299299300300299298298298298299297298298298298298298297297298298298298297297296297297297296297298297301 298300298299300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287287286287288289289291290291292292292293293292291290289290290290289290288288286288289291290290290291294295296296296295296295294296294296296296298298297298295297296295294294295295296296295295296297297297296296297296299298298298296296296296294297297297296296296297297297299299299299298298298297299301301300302303306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293292293293294293292293292294294295295295296298298298300300301302301302299302300300301299300299300301301299300300302302303302303300300301301300301299299298298298297298297297296297298298298297297297297297297296296298297297297297297297297298298297297298298297296295297297297297297298298297297296296297296296297297297297297298297297298298298298298297298298298297297298297297296299298298297297297297300299298298298299301301300300300301298299298301299300301300300299300299299298299299300300300300300300300301301301301301301301301302302301301300300300300300301300300300299299299300301300300300300301302301302301301299299299299300299299300299302302303302301301300300300300300301302301300300300301302304304303302303302302303303304303303303301301302301301301301301301302301300300300300301301301301301302301301300301300301301300301300301300301301301301300301302301302301301302301302303305306299300301300300301303301301300301301301301300300301301301301301301302302303303303303303303302303304304303304304304304303303304304303303303303303303303303303302303303303304304304304304304303304304304304305305305304305304304305304303303303303303303302302303304304304304305305304305305303305304304305305304305305304304304304304304304304304304304304304304304304304304303303303303303302303302302302302301301301301302301302302302303303304303303303304304305303303303303304304303302303303304304303303303303304304304304305304304305304303302303304304305305304304303304303303302303303303302302302303302302302303301302302301302302302301302301303303302303303302303303302303302302302301301302301301301301301301302302301302302303301302301301302301300301301301302301301302301300301301302301301301301301301302301301301301301301302301301301300300300300300300300299299300300301301301301300300299299299299299298299299298298298298298298297297298298298298298298298298299299299298300 297300299300300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999285288287287287287288288289290291291291292292292291291291291291290289288290290290289290289291291291290291294294295295295296294295295296295296296296297298296297295295294292294293294294294295295296297296297298297298298297298298296296296296296295295296296296297296296297296298298298299296299298297298300299301303305305306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296291292294294293293293295296296296296296297299298300300300301302302302301301301301302300300300301301300300299299301302302303303301301301302300300299300298298298298298297297298298298298298298297298297296296296296297297298297297297297297297297999297298297297298297297297297297296297298297297297296296296296296297297297298297297298298298298297298298298299299298299299299299300300299299298298298298299299299298299299301300301301301300300302299300300300300300300300300299299299299300300300300301300301301301302301302302301302301301302301301301300301301300301302300300301300300300300300299300300300301301301302301299298299300300301301302300301302303302302302301300300300303300303302302303301302302303303303305304303303304304304303304303304304303302303302301301301301301301300299301301301301301301300300301302301302301301300301301301301301301301300301301301301300303300301301304303306304301304300300300300305300302300299301301301300301301301301301302302302302302303303303303303303303303303301303303303303303304303302302303303304303302303303303304304303303304303304303304305305305305305305305305305305304304304304305303302303303304304304303303304304305304305304305305305304305305305305305305305306305305305305305305304304304304305303305305305304304304304303303303303303303302302301301302301301302302302302302303303304304303303303303303303304304303304303304303303301303303304303303303303304304303303304304304305305304304304303303304305305304304304304303303304303302302302303303303303302303303302302302302302302301302302302302303302303302303304302302302302302302302302302302302302302303302303302302302302302303301300301300301301301302302302301302303301301302301302300302301302303302302301301301301301301301301300301301300300301301301300300300300300300301301301300299299299299299300299299298299299298297298298298298297298298298298298298298298298298300 298299298300299298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288288288288288288289290291291291292292292291290291290291290290288290290290288290291291291290289292293295295295295295294295295295296295296297295295297296295295295294293294294292294295295296297296298296296297296296298297295296297295296294296296296296296297296297297297296298298298298299300297298302301302301302300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999999296296292291293294293294296296297297297296298298301299299298300301300299302303300300300301301301301301301301302300301302300302300301300300300301300299299299299298297298298298297297297298298297297296297296295295295296297297297297297297297298297297999297298298297297297298297297297298297297296296296296296296296297297297297298298298299298297298297297298299299300300299299299300299299299299299298298298298297298298299297299300299299299300299300300299299299301299301300300299299299300300300300300300300301300301301301301301301302301301301301301300300301301301302302300301300299300300300300299300300300301301301301300299299300299299299300301301302301302301301302301301301302301301301300301302301300301303304305305306305304304304304304304302304304304303302302301301301302302300301302300301300301301301301301300301302302302301301300300300301301301301300301301300300301301300300300299301301300301300299300303300300303302299299301300300301300300301301302302301302302303302303303303302303303303303303302302302302302303302302303302302303302302302303302302303303302304303303303304305305304304305305305305305305305302304305305304303303304303303303304304303304304304305305305306306305305305305305305305305305305306305306306307305305305304304305305305305304304304304303303303303302302303302301302301302301302302302302302302302303303303304303303302302303303303304304303303302303304302303303303303303303303304303303304305304304304303304304303304304304304303303304303303303303302302303303304303303303303303304303302302302302302302303302303303303303303303303302302302302302301302301302302302303303303303303302302301303302303302300300300301301302302302302302302302301303302302302302301302302301302300300301301301301301301301301301302301301301300300299300300301300299300300301300300300300299300299300300299300299299298298299298298298298298298298298298297298297298299 298298298298300299999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290289288288287288289290291291292292291292292293292290290291290290289289289290289289290291292290286293293296295295296295296296294294294295296296296296297297294295295295294294293294294294294294296297297297295297296295297296296296297296296295296296296295295296297298298297299297296299299298298297299300302302305296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294999999295295295295294293292294292294295295296296295297296297298297299298300300299299299299301300300299300301300300300300300302301301301301300301300301302301300301300299299300299297297298298297296297297297297297297296296295295295295296296296297296296296297297298297296999296297298298298297297297297297297296295296296296295296296296296298297297297299299298298298298299299299299300299299299299299300298299299298299299298298296297297297296297297298299297297299299298299298299299301300300300300298300299299300300300299300300300300301301301301302301300301301301301301301301302303303303301301300300300300300299300300301301301301301301300299297298298298299298301299302301301302302301302301302301301301301301299302301300302300302304305304305305305305304305304304304305305303302303302302302301303303303302301300300301302300299300300301302302302300300300300300301300301301300300299299298298299301300299300300299299304301300302299298300303300300299299301301301300300300301300301300300301302300302303303303303304302303303303303302302303303303303302302302303303302303303302302302302302303303302303304305305305304304304304304304304304303303304303303302303302303304303304303303304304304303304304305306305305305304305306305306305306306305305305305305305305304305305305305304305304304304304304304303303302303302302301301301302302301302302302302303303302303303304304302302303303303303303302302303303302303302303303303303303303304303304303303304304304303303303304304303303304303303303304303303302302302303303304303303302303304302303303303304303303302303303303302302303303303302302302302302303302302302302302302303302304303303303303302302302302301302301301300302302302302302302303302302302301302302304302303303302302303302301301302302302302301301301302301301300299300300300301300301300301300300300301301300300300299300300300300298299298298299299298298298298299299298298297298298298301 298294294295298300300999999999999999999999999999999999999999999999999999999999999999999999999999999999292291289288287287287288290290291291290291292292293292291291291290290289291291288289289289290291291290292292294294294295294293294294292293294293296296297296296295296296296294294294293294295293293294293296298296295296297298297295297297295295294296295295295296296298298298298300298297297298299297296299303302303306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999999295294293294293294293295294293293294295296296297296296296296298298299299300299299299300300299300300299299300300300300300299301301301300301300300300300300302301300300299299300299299298297297296296296297296296296296297296296295296296297296296296296296296297297297297296296297297297297297297297297298297297296296296296296295295295296296296297297297298299299299299298300299299298298299299299300299299299298298300299300299299297297296296297298297297297298298299298299299299299300298300299300300300300300300300300300301300301301301301301301301301301301300301301301301302302302303303303301301301301300300299300300301301301302301303302300300299298299299298299301299299300301302302303301301300302300300301300300301302303302301299303304304304305305304305304305305304304303304302303302303302302302302303301302302301301301301299301301301301301302300300300300300301301301300299300298299299299299300299300298300300303300301300299300300301300301302299300300299299300301300300299301300301302300303303302303304303303303303303303302303303303303303303303303302302302303302302302301302301302303303302303304304304304303304304304304304304303303303303304303302302303303304303303303304304304304304305306306305305306306305305305305306305305305306305305305305304305305305305305305305305304304304304304304303303303303303302301301301301302302302302302302303303303303303304304304303304304304303303303303303303303303303304303303303303303303303303304304304304304304304304303304303304303304303303304302304304304303305303304303304303304303303303304304304303303303303304303302302303303303303302303302302303303303302303302303303303304304303303303303303302302302301302301302302302303303303303303302302302302302302302302301303301303303302302301301301300301302301301302300300300299300300299301300301301300301300301300300301301300300300299299299298299298299298298298299298299298299298298297298298297301 298298295296298295298300999999999999999999999999999999999999999999999999999999999999999999999999999999291291288288288289289288288289292291292292292293292292292291291291293291293293290292291290292291292292293294293293294296295295295294294295294999999296295296296297296295294293295295293294293293294294294295298297296295296297296296297296296294294295294295295296296297297296297297300298299297297299298300301302305313999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999296296294293293293293294295295294293294294295295295295296297296297297297299298299300299299299299298299299300300301300301301299301300301300301301300299299299299299302300300299299299298297296298296296296296296296296296296296295295296296296296295295296296297296296297295295999295296296296296296297297298297297297296296296295296295296296296296297297297298298297298298299299300299299298299299299299299299300299299299300300300300300296295294296297299298296296296298298298298299299300299302303300300300300300301300300299300301301300300301301301300299300300300300301302302302302302302303303303303302301301301301301301300300301302301302302302301300299300300298298299299299299300301301301303301301300301300300300300300300302301303299301301304301301303304304305303305304304303303302302302304302303303303303303302301302302301301301299300300300300301301300300300300301301300300300300299299298299300299298298298299299300298301302299298301300300299300302302300302300300300300300301300301301301301301301301301303303303304301303304303302302303303303303303302302303302302303302302301301302301302302302303302303303304305303304304304303303302302303303304303302302302303303303303303304304303303303303304305305305305306306305305306306306306305305306305304305305304305305305305304304304304304303304304304304303303303303302302302301301301301301302301301302303303304303303304303303303304303304303303303302301301303302303305303301302302303303303303304305305304304304304304304305303302303303302302303303304305304304303303303303303303302302302303304304304304303303303304304303304303302303302302303302302303303302303303303302303303303304303303303303303302302302301300301302301302303302302302303302302302302302302302302302303302301302302302302302300301299300301300300300301300300300299299300300300301302301301301301300300300299299300300298299298298299298298299298299298298298298298297298297297298299 297295295297298295298999999999999999999999999999999999999999999999999999999999999999999999999999999999293291289288288287287289290291291292292292292291292292291290290290290292292293293293292291292291292292294295296295292295295293294294294294999999999999294293294296294295292294295296294294294294294295295296296293294298296297297296296296296294294294298297296296295295295299298299298297299299301300300302303306308999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296297295292292292293294295294294294295294296295295295296297296297298297297298299298299298299299299299299299299299301300301301300299300300300299299299299298299298301299299299298298298298297297296296296296296296295295296295295295295295295295295295295296296296296296295294293295295295296296297297298298297297297295296296296297296297297297297298297298297298298298299299299300300300298299299299299299299300299298299299299299300299297296297297297297298297297297298297297298299298299299300299299300299299299299299299298299299300300300301301301301301301300301301302302302301302303302303304302301302301301300301302301300300301301301301302301301301300300300299298299300299300300300301300302300301300301299298300300300300301301298300301301301300301301301301305305304303303302302302302301301302302302302303302303303303302301301301300301302300301302300300300300300300300300300300300299299299301301300299299299299298301299299301301300300300300299299300300300300302300300301302301300301302301302302301301301301302303305304303303303301302304303303301302302302302302302302302303301301302301302301302302302303303304303303304305304303302302302303303303302303302302303303302303303304304303304302302304305304305305306306306306305304305306306306305305305305305305305305305304304304304304304303304304304303304303303303302302302301302302302302302302302303303303303303304304304304303304304304304304303302302302304304305305303302303301302303302303305305304305305304304304304303304304304304303304303304304305305304304304303303302303303303304305304305304304305304304305305304304304304303304303303303303303303303303303303303304303303303303303303303303302302302302302302302302302303302302302302302303301302302302302302302302303303303302302302301301301301300301300300300301301299300300300300299301300301301301299300300300300300299300299298299299298298300299299299299298298298298298297297297297297301 294296295295295297295293999999999999999999999999999999999999999999999999999999999999999999999999999999293291289288288286288287290291291291291292291291291292292290292291291293292293294294293293295292294293292294295297294295296295296294293293295999999999293293294293294294293294294293294293295295296295294294294294293296297298296296296296295295298297298297299295298295296297297298299297299300302300300305304301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296295295293292292293292293293295295294295295295296296297297297298298298298299298298298298299299299299299300299300300301300300300300300299298299301299298298300300299299299298298299298297297297296295295295296296295295295295295295295295295295295295295295296295295295295293294294295296296297296297297298297296294296296296297297297297297297298297298298298298299299299299299299299300299299299299300299299299299299298300299299299297298298297296297297299298299298297298298298298299298298298298299299298299299299299299299299299299301301301301301300301301302303303302302301303302302302303302301302302301301302302301301301301301302301301302302301300300300299300299300299299301301301301301299300300300300298299300299298300300298299299299300300301299300301301304299302302302301301301301300303303302302302303302302302300300301301300303303302302301300300300300301301301301301301301300299300301299299298300300299298300299299299300301300300298300300299302301301300299302302302302300301302301301302301301301301301301301303301301301302302302303303303302302302302302302301301302302302302301301301301301302302302303303304304304304302303302301302303303303303303302302303302302302303303304303304304305305306306306305306305306305304305305306305304304305305305305305305305305305304305305304304304303303304304304303303303303303303302302302302302302302302303303303303303303303304304304304304303303303303303302303304304304304303303302303302302303304305305305304305305305304304303306304303305305304305304304304304304304303303304304304304304304305305305305304305304305304305305303304303303302303303302303303303303303303303303303304304304304304304303303303302302302303303302302302302301302303302302302304303303302302302303302302302301303300301301301301300301301301300301299300299299301300300300301302300300301301300300300299300301299299299299298299299299299299299298298298298297297297297297298301 297292294296296296295297297999999999999999999999999999999999999999999999999999999999999999999999999295294292290287289288289289290291291292292292292292291293292292291292292292293294294294294293294291293293295294295295294294295294296294294292295294999295292294293294293294292293294293293293294296296295295294295296298295298299299297296296296294298298297297298296296296297296298297298299300298300299302307309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293293292292292292293294295294295294295295296295296298298298298299298299299299299299298299300299299300300300300300299299301300299300299299298299298299299299301296300298297297297298297297295295295295295296295295295295295295295294293293294294295295296295296296295295294294295296297297297297297296297296295295296296297297298298298298298298298297297298299299299300300298298298299299299298299298299299299300299297298298298298299298298297297297297298296298298298298298298298299298297298298297298298298298299298298299299299299300301301301302301301303302302301302302302303303302303303302302302303302302302302303302301302302303303301302301301299300300300299299299300300300301303302301300302299300300299300299298299300299298299299299299300301301301301300302299298298301300300300301300303303303301301302301301300300300301303300303300301300301301300300301302302302301301302302301301300300299299298299297298298299298300299298299299299299300301301302303302303302303302302302301302302301302302302300300301301301301302301301301302302301303303303303303302303303302302301302301302302302300301301301302301302303303303303304303303302302302300302303303303303303303302301302302303303303302304305305304305306306306306306306306306305305304304305305305305305305305304305305304304304304304304304304303304303303303303303303303303302302302302302303302303303303302303303303304304304304304304304303303302303303303303303303303303303303303302303303304305305304304305305305304304304304303305306305303303303304304304304303303303304304305304304303303304304305304305305305305304304303304303304304303303302303303304303303303303303303304304304304304303303303303303302302301302301301302302302301302302302302302303303303302303302302302302301302301302301301301300300300299300301301300300299300299300299300300300300300301301300300298299300299299298299299299299299299299299298298298298297296297296297298301 296293292294295295294295296299999999999999999999999999999999999999999999999999999999999999999999999999294293290288288287289290290291290290289292292292293292293291293290291292293292294293294293293294294293292293294292293296296296296295295294293291293294293293293293293294293294293295295294294294295294295295296296297297297297296297297295296298299300299297298300296297296297298298298298299298299300300302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295292291293292292292294294294294295295294295295294295296297298298299299300299300299299298299299299299300300300300300300300300300300299299298299299300300300300301301300300298299298298296297297296296295294296295296295295295294295999293293294294295295296295295296296296295296296297297297297297297297297296296295295296296297297299299299299299299298298298300300299299299298298298299298298299298299298299300299300298298298298299298298297297297297297297298298298297297298298298299298298298298297297297298297298298298298299298298300300302302303302303303303302303302302302302302302303302302302302302303303303303303302302302301302302302302302302300300301300299300300300300299299301301301301301301300300299300299298299298296297299299299299300300300300300298298298299298299299299300301300302303302301301301302302301301300300300301299300301301300302302300300301301301301300301301300300299299299299299299298298299299299299299299301300299300300302302303303303303301302301301302301301302301301302302301302299302301301301302301301302302303303304303303302302303302302302302302301301300301301301301301302301301303303303303303303303303303302303303303303304304303303302302302302302303303304304303305305306305305306306306306306306306305305304306305305305305305304305305305305305304304304304304304304304304304302304304304303303303303302302303303303303303303303303303303303304304304304303303303303302302303302303303303303303303304304303303304304304305304304305305304303306305305304305303304304304303304303305304303303304304303304303304303304303305304304305306305305305304304304303304304304303303304304304304303303303303304304304304304304303304303303302302302302302302302302302301302301302301303302303303302303303302302302301301301302301302301300300301300300299300300299299299300299299300300300300300301300301301300299299299299299298299299300299299299299298298297297297297297297297297298301 297294292295294292294295296297297999999999999999999999999999999999999999999999999999999999999999999999296293290288287286289289289291291291290291289292291290292291293293293293293293296294293293293294293294293292294297293296296295295296293293293293293293293293293292292294294294293291294293294294295295295296295295296297297297298297298297296295296300297300299301296296295297298297298298298299300302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293296295292290291292292292292294294293294295294294295293295295296297298298298298300300300299299299299299299300300300300299300299299300300300299299299300300299300299300300298300299298298297298298297297297296296296296296296296295296295296295999292293294295295295295294295296296296297296297297297297297297296296295295294294295296297298298299298299299299299299300300301299300300299299299298298298300300298298297298299299299298298298298297298298297297298298298298298298297296297298298298298298298298297297297297297297297297298298297299300300302302301302302303303302302301300302302303303302302303303302303303304303304302302302303303303302302304302302303302302300299299301300299300299300300301300300300300300299299299298299297297299299299299300299299299300299298297297297297298298298299300300301300301301301300302302302302301300299300299300300300301301300301300300300301301300301300299300299299299298297298297298298299299299300300298299299300303303302301302301301301302300300301301301300301301301302302302302301302302303302302302303301302301302302303303301303302301301302302302301301301300300301301302301302302302302302302302302302303303303303302303304303302303303302304303303302303306304304304306306305306305306306306306306306305305305306306305305305305305305305305305305305304304304304304303304304304303303303303304303303303302302303303303303303303303302303303303303303304303303304302303302302304303303302303302302302303303303303303304304304304305306305304303304305304304305305304304304304304304303303303304304304304304304303304304303304304305305305305304305305305304303304303303303304304304304304304304304304304304304304304303303303303302301301301301301301301302302302303302301302302302303302302303303302302302302302301301301300301300300300300299299300300300301300300300299300300299299300301300300301300300299299299300299299299299298299299299298298298297297297297298297297297301 296296295296292292292293294296297999999999999999999999999999999999999999999999999999999999999999999999295293290289288288289290290290289290291291291291291291293291292292294293293294293293292291294293293293294293294293294295294295295294293293293294294293292292293293293293292293292293292293293293294295295296295295295297296296296295295296296296294298296299298299299296297299299298298300300301301302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293297295293289289292293293293292294294293294293294295293293294295296297297298299299300299300299299300299300299300300300300300299299299300300300300300299301301299299299300300299298300298298298297298297297297296297296296297296296295296296295295999290293294294295295295295296296296296296297296297297296296296296295295295294294295295297297299298298298298299300299299300300300300300299300299299297299299299298298299300299298298298299298297299298298299298298298298297298298297297297297297298298297298298297297298297297297297297298298297299301301301301302303303302302303303302300301303304303303303303303303304304303304303302303303303304303303302303303302302301301301299299299300300300300300300300299300299299300300299298299298297298299299299298298298298297298298297297297297296296298297297298300301300300299300300301302302302302300299299301302300300300300301299300300299299300300300300299299300298299298298298298298298299298299299298299299300300302301303302301301301300302299298301300301300300300300301302302302302302302302301301302302301302301301302302302302303303302301301301301303301300300300301301301301302302302302302303302303303303303303302302302303304302303303303303303304303303306304304305305305305306305306306305305305305304305305306305305305305305305305305305305305305306304305304304305304304304303303304304304303303304303303303303303303303302302302302303302302303304304303304304303302303304304303302302303303303303304304304304304304305305305305305305306305305306306304305304305304304304304305305304303303302304305305304304303304303305305306304305305305305305304305304303303304304304305304304304304304304305304303305304304303303302301301301301301300300301302302302301303303303303301301300302303305303302301301301300301300299300300301300300299299300300299301300300300300300300300299300300300300300299299299299299300299299299299299299298298297297297297297297297297297297297299 295296296294295295291293292297296296999999999999999999999999999999999999999999999999999999999999999999292293291289289289288288289289289288289289291291291291292292290293294293293293293293292291292295295293293293293294294295295295293295293294294293293292292293293292291295293292293291291294293293294296296294296296296298297296294293295295296295293296297297300300301300299301299299300299300302305300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294292289291292293292292292292293293293294293292293293295297298297297298298299299299299299299299298299300300300300299300299300300299300300301301300301299299299299298299298299299298297298297298298297296297297297297296296296295296296296294291293294294293294294294294295295295295295296296296296296296295294293294294294294295296297298299298299297298299300299299300300300300299299298299299299299299298299299299299299299298299299299298298298298298298298298298298298298298297297298297297297297297298297297298297297297297298298299299299302301301302302303303302303303302302303303304303303304304304304304304303304303303303303303304303302302302303302303301302300301301300300300300300300299298299299299298298298298298299297297297297297298298297297298298299299298298297296297296295296297299300301300299298299301301302301301301300299298299300300300300299300299299299299299298298298299299299298298298298297298297298298298298298299300300299301301301301300302301301301301299300299299300300300299299300301301302302302301301302302302302301301301301301301301302300302302301300300301300301301300301300301301301301302302302302302302303302303302302302302302302302302303303303303303303303304303306304304304305305304306306306306304305305305305306305305305305305305305305305305305305306305306305304304304304305304304303304304304303303304303304304303302302302302302302302302302302302304304304303304304304304304304303303303303304304303302303303304304304305305305306305305305305305305305305304305305303303304303304305304304305303304304303304303305304304303305304304305305305304305304303303304304304303304304305304303304304304304304304304304304303302302301301301301300301300300301301302301301302303303303301301301302303303302301301301301300300300300300300300300299298299299300300300300299300300300300300300300300300300300299300300300299298300299299299299298298298298297297297297297297297299297297300 294296295294294294292292293298296295297999999999999999999999999999999999999999999999999999999999999999294293292289288289287288288289289289289290290291291292291292291292292292292292293290292292292295294294293292291293295293295296295294294291293293294294294294293294293294293294293290289293292293296296295296296297297297296296295295294294294295295296295300301300300300300301301299298298303305306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294293293293291291292292292292292293293293293293293294294295295296297297299298299298299299299299299300300299299299299299300300301300299300299299300300300300300300300299299298300300300296299298299298298298298297297297298297296296296295296296295295294294294294293294294294294294294295295295295296296296295295294294294294294295294295296297298298298298299299299299299299299300300300300300299299299299299299298299298299300300299298299300300298298298298299298298298298298297298297297298298298297297297297297297297297297298297297298298299299299300300300302302304302302303302303303303304303304304303304303302303304303303302303302301302302303302302302302302302301301301300301299299300299299299297300299298298298299298299298298298298298297298298297297297297297297296297298296296295296296296296299299299302298299298299299300301301300298298297298299300299299299299299300299299299299299298298299298299298298298298297297297298298299299300300301300301302300300300302299300302301300300299299299300299299300300301301301301301301301302301301301302301301301300301301301301301300300300300302302301301301300300300301300301302302301301300301302302302302302302303302303302302302303303303303303303303304304306305306304304304305305305305304305305305305304305304305305305305305304305305305305305305306305305305305304305305305304304303303304304303304303303304303302302303303302302303303303303303303302302304304304303303303303303303303303304304303303303303304305305305305305305305305305305305305306305305305304302304304304304304303304304303303303305304305304303303304304304304304305304305304304304304303304304304304304304304304304304304304304304304304303302302301301300300300300300300300300301300301301302302302301301301301302301301301300300301300300300300299299299299299299299300300299299301299301300299300300300301300301300300300300300300299299300299299299299299299298297297298298297297298297298297297301 295295295294293292292293296294293293294999999999999999999999999999999999999999999999999999999999999999294294291289288288287287288289289288289290290290292292292291292291290290291289290291999292292293293292293293292294294294295294295293294292294294294292295292293293293292292290290291292293292293294295295295294295297298296296294294293296295296297297296296301300300299299302302300301298299307999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296295291291291292292291291291293293294294294294294294295295296298297298298298298299299299299299299299299299300301300300301301301300300300298299300300299299300299299299299300300299297299298299298298298298298298298297297296296296296297297295294294293293294293294294294294294294294294294295295295295295294294294294294294294295295297297297298297298298298298298298298299300300300300299300299299298299299299299300301301300300299299299299299298298299299299299298298297297298297297297298298298297297297297297297297297297298298298299298300300301300301301302303302302304304303304304305304304304305305304304304303302302301302302303302302303303302302302302302302301302301300299299300299298298297298298298299300299298298299298297297298296297296296297298297297296296296296297296296297297296298297298299298298297298298299300301299301299297298298299300299299299299299298298299299298299299298298299298298298298298297297297298299299299300300300300300300300301301301301301299300300300300300300299299299300300300300300300300301301301302301301301301301301300301301302301300300300300300303301300300301300301301302301300302302301300301302302302303303303301303302302302301303303303303303303303303303304304306303305305305306306305304305305305305306306305305306306305305305305305305305305305306306306305305305305305305305304303303303303304304304303304304304303304304303303303304304304303303302303303303303303303302302303303303303303303304303304303304303304304304304305305305305306305305305305305304304304303303304303303304304304304304304304303305304304303304304304303303304304304304304304304304304304304304304305305305304304304304304304303304303302302301301301300300299300300300300301301300301301302301301301300300301302301301301301300300300300300300300299299299300299300299300299299300300300299300300301301300300301301300300299300299300299299299299299298299298297297297298297297297298297297297297302 296295295295291293293294295294296295294999999999999999999999999999999999999999999999999999999999999999294293291289288288287288288288288288288289290289291290291290291291291291290291289291293289293294293292292293293294295295296296295295296294295295295293292293292293293293291291289292291292294295294294295295295295297295295297294295296296295297298295297302300303295304302301303303300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294290291292292291291292292294295295294294294294295296296296297297297297297298299299299299299300300300300300300300301301300300300299300300300300299299299300299298299298298300299298298298298298298298299299298296296296296297296296296295294293294294294294293294293293293293294295294295294295293293293293294294294294296295296296296297297297298298298298298298298299299300300299299298299299299299300299299300300300299301300299298299299298299298298299299298297297298298297297297297297297297297297297297297297298298297297298297298300300300301302302302302302304304304303304304305304304304306305304304304304302301301302302302302302302303302301302302303302301301301300300299299299298297297297297298298297299298298298298297296296296296296297296297297297296296296296295295297297295297300296295298297297297298297298299301301300297297299298299300301301300301299300298299299298298299297297299298298298298297297297298298298299299300298300300300300300301301301301301301300299300300300299299299299299299300300299300300300301301301301300300301301301300300300301300300300300300300300299300299299300301300301300300300301301300299301301301301301302300301302302302301302303303302302303303302304305305304304305305305306306304305305305305305305306306307306306305305305304305305305305306305306306306305305305304304305304304303303303304304303303304304304304304303303303303304305303303303303303303303302302302302302302302303303303303303303303304303303304304304305303305305305305304304304304305304304304304303303304304303304305303305303304304305303304304304305304303303304304305304303304304304304304304304304304305304304304304304304304304304303302302301301300300300300300301300300299299299301301301301300301300301301301301301300300300300299299299300300299299299299299299299297299299299299298301301300300300300300300300300300300300299300300299299298298298298298297297297297297298297297297297297297296 297294294294293292294295295295296295295999999999999999999999999999999999999999999999999999999999999999294292290289288288288286288289287288289288289290290290289290290291292999290291291290292294292292293292292295292294295295295295295294294296294294293292292293292292293293293291293292292291292293293294295295297293298298294296296297296296294295302302296298298299299303304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295290291291292291291290293293294295294294295294295296297295297297297296297298298299300299300299300300299300301300300301301300300300300300300300299300300299299297298298298299298297298298298299299299299299299298297297297297296297296295294294293294294293294293294293294293294294294294293293292293292293294295294294296296297296296297296297298298298298298298299298299300299299298299298299299299300299300299299301301300300298298300299298298298298298298298299298299298297297298297297297298297297297296297298297299298297298298299300301301301302303303302303305305305304304304305304305305307304305304304303303302302302302303302302302302302302302302302301301301300300299298299299299298297297296298298298299298299298298297296296296296296296296295294297296296295295295296296297297296298298298298297297298297296298298298299300297298298299297299298298300300299298298299298298298299299297298298298298297298298297297298298298298299299298299301300301300301301302301301300299300300300299299299299299299299300299299300299300301301301301301300300301300300300300301300300301300300300300300300300300301299300299299300300301299299300300301300301301300302302302302302300303303303303303303303304305305304305305305306305305304305305305305304305306306306306305306305306305305305305305305305305305306306305305305304305304304304304304304304304304304304304304304303304304304305303304303303304303303303303302303302303303303303303303304303303303304304304303303304304304305304305304304304304305304304304303304304304304304303304305303303303304304304303304304305305303302303304303304304304304303304304304304304305305304305305304304304304304304303303302302302301300300301301302300300300300300300301301301301301301302301300301301301300300300299300300300300300300300299299299299299300300300299299299300299301300300301301299299300300300299299299299299299298298298297297297297297297297297297297297297296297296 296295295294293291293295295295296297298999999999999999999999999999999999999999999999999999999999999999293292291289289287287286287288289287287288289289290289291290291290290289292291293289293292293293293292294295295295295295294295296294293294293293294296293292293293292293293292295293293292293296295295295295298296297296294296296297299298296295301295297298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291291291291290290291292292294293293294293294296295296296296298296297298298298299299299300300300300299300300301301301300299299299300298299300300299299299298298298298298299299298299298298298299298299299299298297297298297297296296295294294293293294293293293294293293293294293293293292292292292292292293293293294296296296295296296297297297297297298298298297297299299299299299298298298299300300300300300299299300300299298298299298298298298299298297297298298298297298297296297297297297297297297297297298298298298298298300300301301301301301302303303304305305306303304304304304304305306306305305303303304303302302302302301302302302303302302301302300301300301300299299298298298298297297297297296298298298298297296297297296297297295295295295295296295295295295295296296297297297299298299298298297297297297297297299299299297298299298298297297297298299298298298298299297299298297297297297297298298298297297297297297297297299298298299300300301301301301301301300300299300299300298299299298299299298299299299300300300301301301301301300300301299299299300300300301300300301299300300300300299299299298299299300299299298300299300300300300300301301302302302302302303303303303303302303304304304304304305305305305305305305305305306305306307307307306306306306306305305305305305306306305305305305305305305305305305305305304305305304305304304304304304304304303303303304303302302303303302303303303303304303303303302303304303303303303304304304304303303304303304305304304304304304305305304304304304304304304303304305304304302304304305303304304304303304304303303303304303304304304304304304305304304304304305304305304305304304304304304304303303303302302301301301300300300300301300301300301301301301301302302300300300300301301300299300300300299300299299299299299299299299299299299299300300300300300301300301301301301300300300300300299299299299298298298297298297298298297297297297297298298297297297 297295294293292291291292294295295295297297999999999999999999999999999999999999999999999999999999999999999286287286288287285999286287287287287287288289290289291292291290290290291290292295291293293295292294294293293295294295294294293294294294293294294294294292294293292293292293293292292294295295294293296296296297296298295296296296298296298298300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291290291289290290291292292293293293293294294295295296297297296297298298298297298300300300300300300300300300299300301301298300298300300299299299299300299299299299298298296296297298299299300299299298299299299299298298298297297296293293294294294294295293294294294294293292292292293293292292292291292292293294295295295295296296296297297297297298297298298298299298299299299299299298299299300300300299300300300300300299299298299299299299299299299298298299299298297298298298297298298297298297298298298298298298298297298299302301301302303302303304304304305306305303304306305306305307306306304304304304304303303303303302302302302303302302302302301301300301301301300299299299299298298297297297297297298297298296297297296297297296295295295295295295296296295295296296297298297297298299297296297298297297297297299300298297297299299299298297298298299299298298298298298298299298298297297298298298298297297297297297298296297298298299299300301301302302301301302301301300300299300299298299299299298300300300300300300301301301301301301300301300299300301301301300301301301301300300301300301301300300299299300300299299299300300299300300300301301302302302303304303302303303303302303303305305305304305305306306306305306306305306306306306308307307307307306306306305306306305306305306306306305305305305305305306306306305304305305304304304304304304304305304304303304303303302303302303303303303303304303302303302303304303303304303303303303304304303303303303304305304304304304304304305305305304305305305304304304306304304303303303305303304304304303305304304304304305303304304304304304304304304305305304305304305305305304305304304304303303303303302302301300299299300301301301301301301301301301301301301301300300301301301301301300300300300301300300300300299299299298299299299299299299299300300301300300300300300300300299300300299299299298298298298298298298298297297298297297297297298297297297297 999999295294293294291295296294294296296298298299999999999999999999999999999999999999999999999999999999999999999285289287286286285286287286288288288288289290291292291291292292292292292292290294294295292293294294295295296294294293295295293295293294295295294293294293293293292293291293294293294293295295295296295296296298296298297297298298300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291291291290290290291293293293293293294294294295295296297296296298298298298298300300300300300299300300300300298300301300302300300300299300300300299299299298299299299299297298298299299299299298299299299299299298298298297296297294294294295295294295293293293293293292292291291292291292291290291292292292293294295294293292292295296296297296296297298297299299298298299300299299299298299299299300300300299300299299299299298299299299299299299299298299298299298297298298297298297298297298298298297297298299299299299299300302302300301302304304305304305306305305304304305306307306305305304304304304305305304303303303303302302302303303302302301300301300301301301300300299298298299299297297297298297297297296296296296296297296296295294295296294295296295295294296297296298297298297297298297296297296297297298299299299299297298297296297297298298299300299298298299298298298297298298297298298296297296297297297298298296296297298298301301300301300301301300300300300299299300299299299299299299298299300299300300300300300300300300300300300300300300300301301301300300301301301301300300300301300298299299300299299299299299301301301301301301302302302302303303303302302303303303303303304304305305305305306306306306306307305305306307306307307308307307307307307306306306306306306306306306306305305305306305305305305305304305304305304304304304305305305304304303304303303303302302303303303303304304304303303303303303303303303304304303303303303303303303303303304304304304304305304304304304304304304304304304305304305304303303303304303304304303303305304303303303304304304304304304304304304304304304305304305305305304305304304304304304303302302302302301300300299299301300301301301301302301300301302301300301300301300300301301300300300300300299300301300299298299299299300300300300300300300301300300300300300300300299299300299299299298299298298298297297298297297297298298298299298297298297298297 999999999292294295298297298294295297296298298299300302999999999999999999999999999999999999999999999999999999999999288289287285285287286286288289287289290290290291293292293293293292291292291291290292291290292292293293296293294294295296295295293293295295294294293293293294290293293294295295294294295296295296296298298297298298298297297299301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291291291290290289291291294293292293294294294295295295296296296297297297297298299299299298300299299299299300300300299300300301300300299300300299299299299299298299298299298298299299299299299299299299300299299299298297296296296295296294294295295295294294293292292291291289290290289290290291292292293293293294294293291290999296296296296297297295298298298299298298300300300300299299299300300301300301299298299298299299299299299300300299300300300299299300299299298299298298298298298299299298298297299299299299300300301302302301302303304305306305306306305305304304305306306306305305304304304304306305303303303303303302303302302302303301302301301300301300300300300299297298298299298298297296296297296296296296295295296296295295295295294295296295294296296296297298298298298297297298296297297296297297298299298299299297298297297296297297297299299299299298298298297297295297297297297298297297297297297297298297297297297297298298301300300300300301300300301300298300300300300299299299300300300300300300300300300300300300300300299300299300300300300300300300301301301300300301301301302299300300300299299299300300299300300301301301302302302302302303303303302303303303304303303305305303304305306306306306306306306306305307306306306307307307308308307307307306306305306307306306306306305306306306305305305305305305305305306305305304305305304304305304304304304304303303303304303304304305304304303303304303303303303303303303304303302302302302303303303303303303304304304304304304304305305304304304303305304304304304304304304303303304303303303303303304304305304304303303303303304304303303304304305304305305304304304304304303303303302302302302301300300300300300300301301301301302301301301302302301301300301300300300300300300300299300300301300300299299299300299300300300300300300300300300300299299300300300300299300299299299298298298298298298297297297297297297297297297297298297297297297 999999999295296294293295296298296295296298299299299300298999999999999999999999999999999999999999999999999999999999284286287287288288287288288288290289290290291291292292293292292293293293290289290290292291292293293293295295294294296296295296295294294294294293294294293293293293293295295296295297296297295295296297298298299299300300301301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292292290290290290291293293292294295293293295295295296296296296296297297297297300299300300300299299299299301301300300301300300299299300300299298298298299298298298298297297298298298299298299299299299299298298298297296296296295293293294294295294294292291291290290289289289289286290289289291292292292293294292291999999999999295296295296297295296298298298298299300299300300300299299299300300300300299298299299299298299300300300300301300300299299299299300299298299298298297298299299299299299298299300301301300301301301302302303303305305304305305305305304305305306306305304304304304304303304304303304303302302302303303301303302302302302301301300300300300299300300300299298298298298296297297296298296296295295295296294295296296296295295296294295296296296298299298297297297296296296296295295298297297298297298297299298298298296297299299299299300299298298298297297297297296297297297298296297297297297297298297297297297298297299300300300300301301301301302299300299298298299300300300300300300301300300299300299299299300299300300299300299300299300300300300300300300300300300300300299299301300299299299299299299300301301301301302302302302303302302302301302302302302302303303304303303305305306306305305304305305305306306307307307307308308308307307307307306306306305305306306306306306306306305306305305306305305306305305305304305305305304304304304304304304303303303304304303304302303303303302302302303302303303303303303303302302303303304303303303304304303304304303304304304304305304304303304304303303303304304303303303303304302302303303303304304304304303303303303303303303303303303304304303304304304304303302302303302302302302302301300300300303299301300302301301301301301301302302302302300300301300300300300300299300299300300300299300299298298299299299300301301301301300301300300299300300299300300300300299298298298298298298298297298297297297297297297296297296296297297297297 999999999999294294296296295293295294296296298299299300301301999999999999999999999999999999999999999999999999999999999289289286288290290289288289289289290291290290291291293293293292291292291292291291292293293294295294295295294296296296296295295295295294294295294294294294294293295295295293295297297298298295297295297299299299301299301303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291290290290290291292292292293294294295296296295296297297296297297297296297298298298298299300300298301300300299300300300301300298299298298298297298298298298297297297298298298298299299299300299299298299298298297296296294293293294293294293293291290289290289290290290289289288289290289290291292293293294294291999999999296296296295296296297296297298297298298298298299300299299300300299299299299299299298298299298298299301300300300300300300299299299298299299299298298298298298298299299299299300301301301302302302302302303304304304305304304305305305304305306306306305304304303303304304305303304304302302302303303301301301302301302302301301300300300300300301299299298296297297297297297297297297297296297297295296295296297296296295296296296296295296296298297297295296297297296297297296296296296297298298297297297297298298296297298298298299299299299298298297296296296296296296296296296298297296297297298298297298297298298298300301301300304301300300300299300299299299299300300300299299299301301300300299300300299299299299299300300299299299299300300299300300300299299301300300300300300300299300299298300300301301301302301302303302302303303303302302302302302301302303303303303305306305305305305305306306306306306306307307308308308309308307307307306306306306305306306306306306306306306306306306305306305306305306305305304305305305305305304304304304304303304305304303303303302301301302301302302303303302303302303303303303303303304304303302303303303304304304304304304304304305304304303304304304303304304303303303303303303303302304303304304303304303303303303303303303303303302303303304303303304304304304303303302302302302301302301301300301301300302300302301301301301301302302302302302301301300301300300301300300299298298301301299299299298298298299299300301300300299300300300300299299300299300300300300299298298298298297297297297297297297297297297296296297297297297296297297 999999999999999292293297296999296296296297297297297298298298298999999999999999999999999999999999999999999999999999999999288287288289289289288289287287288288289289292291292293293292291292292292292292291293293294293294294295295295295297295296296299297295296295296294293293295293294293292295296296295296296295295295297297298298299298299301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290290289290291292292292293294293294294296296295295296296296297296297297297297297298298298298299300301300300299299298299298297297297296296296297296296296296296297298298298298299299299299299298298298298297297296296296294294292292292291291290289289289288289289288287287287289289289290290289292291294294999999999999296296295295295295296296296296297297297298298298299300300299300299298299299299299299299299299299300300300300301300300299298299299299299298299298298298299298298299299300300300300301301301300302302303303303304303303304305305304303305305304305304304304304305304304304304304305304305303303303303303302303301302302302301301301300300300300299300299299297297297298298297296297297298296297297296295297298298297294296297296296295295295296297296296295296296296296296296296297295296296298297299299298297298298296297298298297299298298297297296296296296295296295296296296296297297297297297297298298297298298299303300304303302302300300300300299300300299299299300299299299299300299300299299299300299299299299299299299299299299299300300300299301300299299300299300300300300300300301300300299300301301302301302302302302302302302303303302302302302302302301302302302303303303303305306306306306306306307305306307307307308308309308307307306306306305305306305306306306306306306306306306306306306306306305305305304304305306306305306305305304304304304304305303302303304302302302301301302302302302302302302302303303303303303303303303303303302303303303304304304304303305304304303303303302303303304304303302302303304303303303304303303303303303303303303302302303303303303303302303303303303304303303303302302302302303302302301301302300300301301301300300300302302301301300301301301301301301300300300300301300300299298299300298299298298299299299300299300300300299300299299299300300299299299299299299298298298298298297297297297296296296296296296297297297297297297297297298297 999999999999999999293293999999999297297296297298297299299301299299299300999999999999999999999999999999999999999999999999290288288288289290289289288288288289289289290291293292294294293292292292291291291292293293293294294297295295297298298299299299298295297298297296295296296295294295294297297297296296297296295297297296297297297298295300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298294290289288288289291292292292291293293294293295294294294296295295295296296296296297296297297297297298298298298298298297298298298297297296296296295295296295295295296296296296297297297296297297296296297296296296295295294294293292292291290289289289289289288287287287287287286286288288289289288288289999297295295999999999294295295294295295295295296297296297298298297296298299299298298298298299298299299300299299298299298299299299300299298298298299299298299298298298298299298298298298299299300299299299300300301300301302302302302303303304304304304304303303303303303304304303304303304302304304304303303303301302300301301301301301301300300300300299299298298298297298298297296296297297296295296296296295296296295295296295296295295297296295296296296296296296295295295295295295296296295295295295296295296296298298296295296296296296297297297297297296296296296296295296294295294295295294295296296296297297297297298298299299299300300300300300300300300300300299299299298298298298298298298298299298299299299298299298299298298298298297298298298298299299299299299299299299299299299298299299300300300300299300299301300300301301301301301301301302302301302302301301301301301302302302303303303305306306305306305305306306304305306307306307307308307307307306305305305305305305305305306306306306306305305305305305305305304304304304304304305305305306305304304304304304303303302302302302302302302302302302301302302302302302302302303303302302302302302303303303303303303303304304304303304304303304305304303303302303303302302303303303303302302303303303303302302303302303303303303303303303303303302303302303303302303302302302302302302302302302302301300300300301301301300300301301300300300300301301300301301301300300301300299300299299299299299298299301299299299300299300301300299299299299299300300299300299300299299299298298298297297296297297296296296296296296297296296297297298297298297298 999999999999999999999999999999999999999296298298999300299300297298299298297999999999999999999999999999999999999999999999291289288289289290289289289289288288288289291291291291294293293293293294293291292292294293294295294294294294298298298298298297295296297298297298297297297296295295296294297298296297298298298296296297296298298300297301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300294291290289289289289290291292291292293293294294293294294295295296295295296296296295296296296296297297297297298297297296296297298297296296295295295295294294295295296295296296296297298297297298297297297297296295295294294293292291291290289288287288288288287288286286287286287287285288287289289289999999296295294999292294295294294294294295295296296298297297296297297298297299297298298299298297299299298299299299299299299299298299299299299299298298300299300299299299299299299298299299299299300299300299300300301301301301302303303303304304304304304304304305304304304304304304303304305305304305305304304302301302301299300300301301301300300300300298299299298298297298297298297296297296297297296296296295295295295296295296297296296295296295295295296295296296296295295295295295295295295295294295295296297296295295295295297296297297297297297296296295296296295295295295295295295295295295295296296297298298298299299298299299300300301300300301300300300300300299299299298299298299300299300299299299300299299299299299299299300298298298298300299299298299300300299299299299299300299299299300301301301300299300301300300299300300301301301301302301302302302302301301302302302302302303303303303305306305306307306307306306306307307307307307307308307307306306305305305306306305305306306306306306305306306306305305305304304303303303303304304305305304303305304303303304303302302302302302302302303302301302302302301302302302302302302303302303303303303303303303303304304303304303304304305304303306304305304302302301302302303303302302302302302303303303303303302302302302303303303303303303303303303302303303303302303303303302303302302302301302302301301300300300300300300299300300301300299300302301300300300300300300301300299299301299299299299298298299297299298298299299299299299299299299300300300300300300299299299298298298297297297296296296296296296296296296296297296297297298297298298297 999999999999999999999999999999999999999298999999999999300300298298300297299299999999999999999999999999999999999999999999999290289290291289289288289289288288288288290291292293293293294295294292293292292293293293293293293294294295296297297294296297297296299300297298298298298297296299999999299296300300301300299297296298296297296298303300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298292291290288289288289290291291292292292292293293293293295295294295296295295296295296296295296296294296297297297297298297296298297297296295295295295295295295295296295295296296296297297297297297296296297296295294294293293293292290289288288288287285287287285285285285286285284285284284286287289999999297296293293294293294294294294294294294294294296296298297297296297298298299299299297298299299299299298298298299299300299298298298299300299299299298299299300300300299298299298299299299299299299300300300300300300301300301302302303303303304305304305304304304304304304304304304304304304305305303304303303302301301300300300300300301300300299299299299299298298298298298298297297297297297298297297296296296295295296295296296296296295296296296295294295295295295295294295294294294294293295294294295294295295296295295295294295296296295296296295296295295295296296295294294294295294295295294295296296296296298298298298298299299297300300300300300300300300301299300299299299299299299299299300299300299299298299298298299299299299298298299298299299299299300301301300299299299300300300300300300301300300299300301301300301301300300301302301301302302302302301301301301301302301302302303304303305303304305307307306307307307307307307308307307307307306306306305305305305305305305305305305305306305305305305306305305304304304304304304303304304304305304305303303304303303302302301301301302302302302301301302302302302302302302302302303303302303303303303303304303303303304303304304304303304303303303304303302302300302302302302302302302302303303303303303303303302302302302303302303302302303303303302303302302303302303303303302302301302301302302302302301300299300300300300300300300300300299301302302301300300300300300300299299299299298299299298298297297298298299300298298298298298299300299300300299299299299299299299298298298297297296296296295295296295295296295297296296297297297298298298298 999999999999999999999999999999999999999296999999999293300296296297298299300299298298999999999999999999999999999999999999999290290290290290289289288289289288288288290290291293293292295294293294293292292292293290293294294294293294297295295296297297296296298299300298299300300300298999999999999299302303303301300298296298297297301298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297292290289289288288287290291291291291291292292292293295298297296296297295296296296294295295295295296297298297296297297298298298299297296296296295296296296295295296295295295296296296297296296296296295297296295294293291293292290288287286286287285285285285286284286286285285285285284285287286285999298297296295294295295295294294294294293294295295296296296297297297297298298299300298298299300300300298297297298299299299299298297299298299299299298299299299300300299299300299299299299299299299300301300301301300300300300301301302302302304304304305306304304304304305306305304304305302305304304303304303302302300301301301300301300300299299299299299298299298297298298298298297298297298297297296298297297296295295295296296296296296295295296296296295295295295294294294294294294294293294294294294294295295294296294295295294295296295295296295295295295296295296295295294294295295295294296296296295297297297298298299299298298299298299299300299300300300300300299300300299299299298300300300299300300300299299299299299299299299298298299299298299299299300300299300300300300299300300300300300301300301300300302303301302301301301301302302301301301302302301301301301301302302302302303303303303303303304307307308307307307307307307307307307307306307306306306306305305305305305305305305306306306305305305305304304304304304304304305304304304304305305306305305304303302302302302301301301302303302302302301301302302302302302302302302302303302302303303303303304303303303303302303302303304304304303303303302303303303302303303303302302302303304304304303303303303302303302302302302303302303303303303302302302302302302303303302303302301301302302302301301300300300300301299299300300300299300301303303302302300300300300299300299299299299299299299299299299298298298298299298298298298299300300300301300299299299299298299298298298298297296297295295295295295295295295296296296297297297297297297298298 999999999999999999999999999999999999999999999999999292296297296293298303299295295298296999999999999999999999999999999999999999289289289289290288288287287287287285289289290292291293290293292291292292292292293290293293293294294293294293291294295291297297299299300299297301302304299999999999999999305304304303306300299299300300300298299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291288287288287286288291291289289290290292292294291295297296296295296296294293294295295296296294296298297297296297296298298297297296296294294293295295295294295296295294296296296296297296296295295295294294293294287287290290288286284285284285285285285285285285285287284284284285284285286286999999999999296296294294295294294293293293293293295295296295296294296297296297298297299297297298299298299297298298298298299299298299299298298299298300298300299299298299299299300299299299299299299299299299299300299299300300300301301302302303303304304306305304304304303304304304304305305304305304304303303303301302302301300300300299299299299298298298297298297298298298298297297298297297297297296295296296295295295296296296295295295296295294295296295294294294294293294294295295294294294294294294294293295293293295295295295294295295293295294295295295295296295296295295293294295295296296296296295296296295296297297298298298298299299298299299300299301300299300301299300299299300298299300300299300299300299299299299299299299299299298298298298298298299299299299299299299299299299300300299300301300300300301300303302301301301301300301301301301302302302301301301301301301301301301302302302302302303306306307307306307307307307307307307306307307306306305305304305305305305305305305305306305306305305305305304304304304305305304305305304304304304304305305304304303303302302302302302302302302302302301301301301301301301302301301302302302301301302302302304303303303302303303303302303303303303302303303302303301303303303303303302303302302303303303303303302302302302302302302302303302302302302302302302302302301302302302302302301301301301301301300300301301300300300299300300300299298299299300302301301300300299299298298298300299298298298298299298298298298298298298298298298298298299298300299298298299298298299298298297297297297296296295294294294295294295295295296296296296296297297297297297 999999999999999999999999999999999999999999999999999288296296294295295301302298293295296295298298999999999999999999999999999999289289289287289288288287287287288287288290289291290292292292292293292292293291291292292293293295293293295293292293295294294297299299300298296299300300295999999999999999999999999999999999999302300301299301297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286285284289288290290290290290290291291292293294296295297296294294295294294294294295296296295296296296296296297297297297297297296294293294293294294295295295295295295296296296295296296296294295294292291291999999287287285284283282282282283284284284284284284282283282283285287285286284282999999999999294294292292294293293291291291292292294295296295295295297296297298297296296296296296297298299298298299298299298299299298299298298298298299300299300299299299299298300299299299299300299299299299300299299300300300300300301301302302302302303303303302304304303303303303304304304304304305304303303302302301301302301301301300299298298298298298298298297298297298298297297297296296297297296296296296295296296295296296295294295295295294294294294294292293293293295294294292294293294294294294294294295294293294294293294294294294293291291293292294295294294294294296292295295295294296295295294295296296295297297297298298299298298298299299300298299299299299300299299298299299298299298299299298299299299299299299299299299299299298298298298298298297299298299299298300299299299300299300300300301300301301302303301301301301301301301300301301301301300300300301301300300301300301301302302302302302306306307306305306306306307306306306306306305306306306305304305304304305304304305304305305305305305305305304305305306305305305305305304304304304304304304305304304302303302302301301301301301301301300301301301301301301301301301301302302301301302302302303302302303302302303302303303303303303303303303303303303302302302303303303303303303302303303303303302302302302302302302302303302302302302302302302302302302302302302302301301302301301301301300301301300300300300300300300299298299300299299302301300300300299298298298298299298299299298299299298298298298298298298298298298298298298298298299298298299299298298298298297297296296296295294294294294294295294294295296296295296296296297297297297 999999999999999999999999999999999999999999999999999999999291999999291295300293295294296296297295297999999999999999999999999999287290289288288289289286287286288286289288289291292291292292293293293294292292292291292293293294293293295292293297297293294297298298297296299299297999999999999999999999999999999999999999999999999301299297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285285288288287288289288289290290290291294294294293295296295294295295295295295295296296295297296296297296296297297298297297297295294293293294294295296295295295296295296297297296296296294295293295292999999999999286282282281280282283284284284284283284282283283282283286286285286283999999999999999294292292291293296999290292291292293293295295296296297295295297297296296295294295297297299299299298298298298298298298299299299297298298299300300299300299300300300300301300299300300299300299299300299299299300301300301302302303303302303303304303302303303303303303303303303304304304304304304302302303301304304302301301300298299298298299299298299298298298298298297297297297297296295296296295295295295294295296295295294295294294295295294295294293294293294294294294294294294294294293293294294294294294293293294294294293293293293293293292295295295294293295295296294295294294295295295296295297296296297297298298297298298298297299299299298299299298298300299299298298298298298298298299299299300300299299298298299299298299299298298298298298297298298299299299298299298298299300300300300301301301300300303302301301301301301301301301301301301301300301301301301301301301301301301302301303305305305305306306306306306306305306306306306306306306305306306305305305305304304305304305305305305305305305304305306305305305305305304305304304305305305304305305304304304304303301301301301302301302301301301301301301301301301301301302302301301302302302302302302303302302302302303303303303303303302302302302302302302303302303303303303303303303303303303302302302302302303303302303302302302302302302302302302302302302302301301302301301302301301300301301301301300300299299300300299299300299300301300300300300299298298299298298299300298298299298299298298299298298298299298298298298298298299299299298299299298298297298297297297296295295294294294294294294294295295296296295296296296297297297296 999999999999999999999999999999999999999999999999999999999999294296999999999294294295295294294295293295999999999999999999291999999289289289289289288287287287288285287288288290293289289291293292293294292291292293293294293294293291295294296297297294292297297294298299299298297999999999999999999999999999999999999999999999999999999999296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287289286285287288288289292292293292293293295295295294295296296296297295296296296295296296296296296296297298297298298296295294293294295295295295295295295296295296296296296296294294293292291999999999999281281281281281282283284284285283283283283283283284285286286286286284999999999999999292290289999999999999290292292292293293295296296297297294295298297296297296296296297297299299297298297297298298299299298299300299299300298300299299299299300300300300300300300300300299299300300300300301301300300301302302303303303302304303303303301302303303304304303303303304303304304303304303303302302303301301303302301301299299299299299298299298298298298298298298297297296297295296296296296295295295296295297296294295294295295296294295295294293294293294294294293293293294294294295294295294294294293293293293295294294293293293293293295294294294294295294293294295295294295296295296295296297298298298298299298299299299298299298299299298298299297299299299298298298298298299299299300300300300300299299299299299298300299299299298299299298299298298300300300300300300300300300300301300300300299301301301301301301301301301301301301301301301301301301300301302301302302301302303303303306304304305305305305306305305306306306306306307306306306306306305305305305305304305305305305306305305306305305305306305306305305305305305304305305305304304305305305305305304303303302301302302301301301301301301301301301302301301301302302302302303303302302302303303303303304303303303302303303302303302303302303302303302303302303303303303303303303303303303302303302302303303302303303303303303302302302302302302302302302301301302301302301301302301301301300301300301300300299299299298299299300299300300300300299299299298298298299298298298299299299298299299298298299299298299298298298299299299299298298299299298297298296297296296295294294294294294294295294294295295296295295295296296297297296 999999999999999999999999999999999999999999999999999999999999999296999999999295293295293295296295295294999999999999999999290999290291292290290291287288288287286285287288287289290290291291292293292292291294293293294294293294293290293294294296296295295296296295298299299297290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293288287286287287286290290291290291293294294294294293295295295295296294294294294294295294294295295296296296297297297296295294294294295295295295295297296296296295296296296295293291291999999999999999281281281280281281281282281283283282281282282282283285285285285285284284999999999999999291292999999999999999294293293292293293294296295296296296295296298296297297296296297298298298298297297298298299299298297299299299299300299300299299299299299299299300299300301300301299300300299300301301302301302301301302302303303302303303303301302302303303303303302303303303303302304302302302302302301301302300300301299299299299300299298298299297297297296297297297296296296296296295295295295295295293295295296294294295295295295295294294294293295293292294292293293293293293294294294293293293295293293293293292293293293293292293293293293293294294295294294294294294293293295294295294295295298297297297298298298299299299300298298298298297298298298299298298299297298298298299299299299299300300300299299299299299299299299298299299299298298299300298299300299299299300300299300300300301300301300300300301301301299300301300299300301301301301300300301300301301302302302302302302303304304304303305305305305305305305305306306306306306306306306306306305305305305305305305304305304305305305306305305306305305305304305305304305304304304304304304304304304304304303302303302303301302301301301300301301301301301301301301302302302301302302302303302302302302302303303304303303303302302302302302303303302302302303302302303303303303303303303303302303303302302302302303302303302302302302302302302302301301301302302301302301301301301301300301300301300301301300300300299299299299299299300299299299300300299298298298298298297298298298299298298299299299299298299298298298299298298299299299299297298297297297296296296296296295294294294293293294294294294293293295294294295295296296296296296 999999999999999999999999999999999999999999999999999999999999999294999999999291296290292294294295292294292292291296294294292292291293291287289288287288287287286286287286288286287288290290291290292292291293292291291292293293290290290294293294292293292294295297298298297301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287287287288289289289291292293293293293293294294295295295297999999999999296294294294294295296296297296297297296295295294294295295296296296297298298296294294295296296294291287999999999999281282281282281282282283282283282283282282282282281284286284285284284285999999999999999294294999999999999999999293295293293292293294293294296295296295296296296297298297296297297297297297297298298297298298298298298299300299300300299299299300300299299299299299299299300299300300300300300300301303302302302302302302303302302303302303302303302302302302303302303303304303304304302302302302303302302301300300300300299298299299298298298298297297296296297297296297296296296295295295296295295295295295295295296294294296295294294294294294293295293293294293294293293293293294293294293295294294294293292294293292291292292292293293293292293294294294293293294293293294294295295294294295296297297298298298298299299299299298298297298297298297298298298298298298298298298299299299299299299299300300300299299299299299299299299299299298299299300300300299298301300300300301300300300300301301301300301300301301300300300301301301301301301301301301301300300301301301302302302302302302305304304304305305304305304304304305305306305306306306306305306305305305305306305305305304306306305306306306306305305306305305305305305304304304305304304304304304304304304304303302302302303302302301301301301301301301301302302301302302302301302303301302302303302302302302303303304304303303302303303303302302302303303303302302302302302303303303303302302302302302303303302302302302302302302302303302302302302302301302302301302301301301301301301301301301301300300301301299300300300300299299299300300299299299299298297297297297298297298299298298298298298298298298299298298298298299298298299299298299297298298297297297296296296295294294294294293293293293294294294294294295295295295295296296296296 999999999999999999999999999999999999999999999999999999999999999999999999999294295291289292291295293293292293292291292291291291289999999999288289286288288288288286286285286287288287288290290291291292291292290291291289291289289291290291293294294294293295295297297298300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287287288287288289291291292292292292293294294294294294295999999999999999999293292293293293294295293296295296297295295294293295296296296295297297296294293293294294293999999999999999999281281281281281282281283282282281282282283282282282282284285285285283283999999999999295295295293999999999999999291291293293291292292293293294295295295296296297297297297297296296297296296297297296296296297297298298298299299298299299299299299300299299299299299298299300300299299300300301300299300302301302302302303302303300301301301301301302302301301302303303303304304303303303302302302302303302301300299299299299299299299298297297297297297297297296296296296296295295295296295295295295294294295295295296296297295294295294295294294293292294292293292293291292293293294293294293295294296294291291293293292291291291292293291291292293293294294293295295293293294295295294294295294297296296297298298298298297298297297298298298299299299299298299297298297297299298299298299299299299299300300299299299299299299300299299299299299299300300300300299300301300300301301301300300300301301300301301300301301300300300300300300301301301301300300300300300300300301301301301302302302304304304304304305305305305305305305306305305305305305306306306305305306305305306306306306306306306307305305305305305305305305305305304304305304304304304304304304304303303303303303303302303302301302301300301300301301301302302302302302302303302302302302302303302302302302303303303303303302303302302302303302302302302302303302302302302302302302302301301301301302302302302302302302302302302302302302302301302301301301302301301301301301301301301301301301300300300300300299299299299299299299298300299298299298298298298298297297298298298298297298298298298298298298298297297298298298298298298298298298297297297297297296296295295296294294294294293294293294294294294294295296294294295295295295295295 999999999999999999999999999999999999999999999999999999999999999999999999999999294999999999293292294999291293293294292999999292999999999999291288288288288288288284286286286287287287288289290290290291292291290289288290291290289291291291291294295293294293294297298298298296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287287287288287290290291292292292292293293293293293292293999999999999999999999295295295999295295290295295294295295294292292293295295294294294295295293292292293291999999999999999999280281281281281282282282283283284282282284284282283283283284285285285284284999999999294295293999999999999999999290290292291291291292292293293293294295296296295296297297297296295296297297295295296296296296297296297298298299299298299299298299299300299300299299299299299299299299299300300300300301300301300301302301302301302300301301301300300301301301302302302302301302302302303302301302302301301302302300300300300299299298299298298297297297297297297296296297296297296296296295295296295295294294295295295294295295295296295294294293293292292293293293293291291290292292292292293294294295295294293292292292291292291291291292291291294293293292292293293293293294294295296295295295295295296296298298298297297298297298298299298299298298298298298298297298298298298299298298299299298299299299299299299299300299299299299299300299300300299300299300300299300301301300300301300300301300300300300300301301299299300300300300300300300300300300300301300301301300301302301301301301304303303303304304304305306305306305304305305305305305306306305306306306306306305305305306306307306306306305305305305305305304305304304304305305305304304304304304303303303303303303302302302302303302302302301301301301301301302302302302302302301301302302302301302302302302303302302302302302302302302302302303302303303302303302303303302302302302302301301301301302302301301301302301301302301301302301301301301301301301302302301301301302301302301301301302301300300300300300300299299299298299299299299298299299299298298298297298297297297298297297298297298298298298298298298297298298298298297297297298298297297297296296296296295295295295294294294293293293294294294294294294294294294295295295295295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296292295294293293294999292291289292999999292288288289290289288289287288287287289288289289291290290291290292291290289292293292293294294295295294295295294292295296298299296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286288288290290292292292293293293294293293293293999999999999999999999999999999999999999999999999999999999293293291290293293294294293293294294294292291291999999999999999999280281282281281281282283283283282284283282285284285284284283282285286285285285286999287298294999999999999999999292294292292291292292293292293294293295295296296296296297297296296296297296297296296296297296296297296297298297298299299299299299298299300300299299300299299299299300300300299300300301301299300301302301302301301302300301302302301301300300301301302302300301302302302302301303301302302301301302301302301301300298298298298298297298297297297297297297297297296295296295295295295295295294294295294295295296296295295294293295294294293294293294292293292293290292291292292293293293294294294293293293293292291291291292292292291295293294294294293293293294294294294294295295295295295296297297298297298297297297298297299298299299297298298298298297298298298298298298298298298298298299299299299299299300300300300300300300300299300300300299300300300300301300300300300300300300300300300300301302299300301300300300299300300300300300300300301301301301301302302301301301302302303304304304304305305304305305305305305306305305305306306306306306306306306306306306306306307306306306306305305305305304304305303304304304305305304304304303304304303304304303303303303302303303302302302301301301301302302302303302302302302301301302302302301302302303303302302302303302302302302302302302303303303303303302302301301302302302301301301301301301301301301301302302302302302302301302302302301302301301302302302301302302301301301301301302301301301301300301300300299299299300299300300299299300300300299298298298298298298297297297297298298298298297298298298297297297298298298298298298297297297297296297297296295295295294294294294294294293294294294294294294294294294295295295295295295295 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296293999295293294294296294999291292290999290290290291291290289289288288288287287288287288288288289289292292293291288289291289291290294292294295292293295295296297295295297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288287284999999999999999285287286287288288290290292292293292293292999294294294999999999999999999999999999999999999999999999999999999999999999999294999999999999999999999999294294293999999999999999999999279282283284282283282283283284284283284283284285284285286285285285286286285285285285283999291292999999999999298298298297293293292292292293294294293295296297296297295296298299298297297298298299297297297296296297298298297298298297299299300300300300300300300299300300300300300299301300300300302301302301301300302302303302302302304302302302302302301301301301301302302301302301302302302302302302301301302302302301302302301301300299299299299299298297297297297297298298297297295297297296296296296295295295296295296297295295295294294295294294294293294294293293293293292292291292293292293294294296295295294294293291292291292292292293292293295293294294293294295295295295295294295295296296297297296297297297297297298299299298298299300298299299298298298299298299299299299299299299299299299299300299299299300300300300301301301301301301300301301301301301301301301301301302302301300301300301302302301302302301301300300300299300300300300300301301301301302302302302302302301302302302305304304304305306306306306306306305306306305306306306306306307307306307307306307307307307306307306307307306306306306304305305305305306306306307306304305305305305304304304304304304304304304305304304303302302302303303302302302302303302302302303303303303302302302303303303302303303303302303302303302302303303303303303304303304303303302302302302301302301301301302302302302302302302302302301302302301302302302301302302302302302302302302302302302302302302302302301301301300300300300300300300300300300300300300300299298299298298298298299298298298298298298298298298298298298298298298299300299299299298299298298297297297297296295295295295295294294294294295295295294294295294295295295295296295296294295 999999999999999999999999999999999999999999999999999999999999999999999999999999294294294999999296296295999293293294293292292292291291291290290290289290290290288290288286286286285286286286287288288289289288289287287287288288290290291292294292293293295295293296294296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285284283283283283282283283282282285286287289288290291292292292291291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279278280282283281282282282283283283282282283283283285284284285286285286284283283282282282999999999999999999291295294295298291291291290291291292292292291294294295295294295295297297296296296297296296295295295296296296297297296297296298297298299299299300299299299299299299299299299299299299299300300300299299299301300301301301301301301301300301301301300300301302302301302301302302302302302302302302302301301300301300300299299298297296297297297297298296297297298296296296295295295295296296297296295295294295294295296295295294294293293294294293294293292293292292293292292290291292293293293293294294293291292292292292293293292293292295296294295293293294294294295294295294294295295295295295295295296297297296296297297298298297298297297297297297297298298298298297297297298298297297298297297298298298298299299299300300300300301299300301301301300300300300300300300301301301300299300299300300300301300301300299301300299300300300301300300300301300300301301301302300301301301301302304304304304305304305305305305306306305305304305305305304305305305306306306306306305307307306306306305306306305305306305305304304304304306305305304305305305304304303304304304304304304305304304304304303303303303303303303302302302302302302302302302302303303302302303303302302302303302303303302303303302302302303302302302303302301301301301301301301301301301301301301302301301301301301301300301301301301301301301301301301302301301301301301301301301301301301302301300300300299300300300300300300300299299299299299299298298298298298297298297298298298298298298298298298298297297297297298298297297297298297297297297296296295295295294294294294293293293294293293293293293293293293294295294294293294294293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294290294294295295292293292293292291293290290291290289291291290289289288289287286287286286286286286285287286287286288287285286287291292291291293294294294295295292294293295295297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286285283283283282282281281282282284286287288288290289291292292292291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280280281281283282282282282283283284284283283283282285283283284284283284283283283282283999999999999999999999999296294294291291290289290291290292292293294293294293295296296295296297296296296296295297295295295295295295295294295295297297297298298299299299299299299299299299298299299299299299299298298299300301300300300300299300300301301300300300300300300300301301301301302302301302302302301302301301301301300300300299299298298297297297297297297297296296296296296296295295295295295295296297297297296296295296295294294293294294293294293294293293292294293293293294292291292291291292293294293293293293292291291291290291293292292292292295295293292293293292294295294295295294295295295295295294295296296296297297297297297297298297298297296296296297297298298298297297297297298297297298298297298298298298298299299300300300300301300301300300300300300300300300300300300300300300300300300299300300300300300300300300300299299299299301300300300299299300301301301301301301301301302301302302303302303303303304305306306305306305305305304305304305305304306306306307306306305306306305305305305306306306305306306306305305304304306305304304304305305306306305304304305305304305305304304304304304304303303303303303302302302302302302302302302302303303302302302302302302302303302302302302302302302303302302303302302302302301302301301300301300300300301300300300301301301301300300301301300300300301301301301301301301301301301301301301301300301301300301301300300300299299299299300300300300299299299299299298298299298298297297298297297297297298297298298298297297297297296297297297297297297298297297296296296296295295295294294294294293293293293293293293293293293293293293293293293294294294294293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295999999292291292293292293293292292292291291291290289289289291290288288286287287286286286287286285286286286287285287285284285288290292291291293293293293295297294293294294293296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286285284282282281282281281281283284286286287289289289288290291291291290287999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278279281281280280281282282282282283284284283282283284283283281282283283281283284283282282999999999999999999999999999999999290290288290290291291292292293293294294294294295294294295295296295296295295297295294294295294295295296295296297297297298298298299299299299299299300299299299298299298298299298299300299300299298299299299301300300300301300300300301300300300300300300300300301301300301301302301301301300300300299300299298297297297296296295296296295295296296295295296296295295295296296297297297296296296296295295295294294294294293294293293292292292293293293293293292292291293294294293293293293293292291292291291291291292290291292292292294292291293293294294294295294293295295294294293295296296296296296297296297296297297297297298296296297297297297297298298298298297298297297297298298298298299298299299300300300300300300300301300300299300301300301300300300300300301300300301300299299300300300300300299300300299299298301300300300300299299299300300301301301301301302302301302302302302302303302303303306305305305305304305304304304305305305305306307306307306306306305305306304306305305305306306305305304305304303305305304305304304304304306306305305305305305305305304304304304304304303304303303303303302302302302302302302303302303303302303302302302302302302302302302302302302302302303303303302302302301301301301301300300300300300301300300300300300301300300300300300300300300301300300301301301301300301301301301300300300300300300300300300299299299299299300300300300299299299299298299299298298298297298298297298297297297298298298297298297297297297296297297297297297297297297296296297296296295295295294295294294293293293293293293293293293293293293292293293293293293292293293 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999999999291291294293293294294293293290291291289289290289289288287287288288287286287286288287285285285286287288286287289287289291290292293293293292292295294295295295296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283284283282282282283282283283286287287288288288290288289291291289999999999999291292293293293999999999999289290291291291289999288287285286285287288288288289288286999999999999999999999999999999999999999279280280282282282282281282282284283283283283283283283282282282282283283283283283283284282283286999999999291288999999999999999999291290291291291291291292292293293294294294294295295295295295296296296296295295294295294295294294295295296296296296297298298299299299299299299298299299299299299298298298299298298299299298299299300300300301300300300300299300300300298299298298299300300300300299299301300300300300300300300299299298297297296297296297297295296296295295296295295295295294295296295296297297297296296296294294295295295295294293295294293293293293292292292292292292293292291292294293292293293293292291292292291291292292293292292293292292293293293293293295294294294293293294294293294294296295295297297297296296296297297297297298296296297297296297299298297297298298298298298298298298299299299299299300300300301300300300300300300300301301301301300301300300301300300301300300300300299300299298299299297299299300299299299299300299301299299299299300301301301300301301301301301302302302302302302303303303305305305305304305304304304304305305305307306306307306305306306306306305305305305305306306305304305304304304304304304305304305304305304306306306306306305305305305305305305304304304304304303303303303303303302302302303302302302302302302303303302302302302302302302302303302302302302303302302302302302301301301301301300300300300300301300300300300300300300300300300300300300300300300300300300300301300301301301301301300300300300300300300300299299299299299299300299299299300299299299298298299298298298298298298298298298298298298297297297297297297297297297297297297297297297297296296296296296295295295295294295294294294293293294294293293293293292292294293293293293293293292292 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294999999999999999291291293293293294294295292291290289290289290288288288289288289287287288287288287285285286286286286287286288287287288291292292294293292293294295294296295295296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284283284282282280282284284283284285287288286287288287288288289290291289999999999999292292292294294293290291290290291291291290290290290289288287288288289289289289289289289999999999999999999999999284282281281281281281282282283282283283284283284284284283283283282283282282282283283282284284284284284285286286999999291292291288287287999999291291292291292292291291291292292291294294295296296297296296297297299296295295295296295295295295295295295295296296297297298298298298298298298298298298299298298298298298298298298298299299298299300300300299299299300300300299299299298298298298298299299299299299299300300300300299300300299299298298297297297296296295296295296296295295294295295295295296295295295296295296296297296294294294295294295295295294294295294293292293293292293292290291291292292292292293293292292292291291293293292293293292292293293293292293293293293294294294293293293293294293294293294294296296297297297296297296297298297297297297296296295297296298299298297298298298298298298298299299299300299299299300300300301300300300300300300301301301300301301301301300300300300300301301302301300300299299299299299300299300298298299299300300301300298299299300300301300301301300300301302302302302302303303303304305304304304304304305305304303304305305305306306306306307306306306307306306306305307306305305305305305304304304304304305304305305304306305305307305305306305305305305305305305305305304304304304304304303303303302303303303302303302302302303302302302302302301302302302302302302301302302302302302302301301301301301301301301301301300300300300300300300300300300300301300300300300300300300300300301300300301300300301300300301300300299300299300300300300299300299299299299298298298299299300299298298298299299299299299299299298298298298297298297297298297297297297297297297297297297297296296296296296296296295295294294294293294294294294294293293293293293292292294293293292292292292291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291292295295293292293292290289290290290290289289288290289288287288287287286287286285286285286286286288288288287290291291292292293293294295295295294295298300302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283283281281282282284284283285285285287288287288287289288289289291288999999999293292293293290292290291292292292293292292292291291291290290290289290289289290289290289289288287287287285287286285285284281281282282282282282283283282283283283284283284282283283282283281283283281281282284284282283284286286285999999290292291291288288288288287289291290291291291293293291291291293296296296296296296297298297297296296295294295295295295295295294295296295296296296297297298298298298298298298297298298298298298298298298298298298299299299299299299299299300300300300299299299297297298298298297298299298299299299299299300299299299299299298298297297296296295296296294296295295295294293295295294295294294295295295294296296295296295295296295296295294294294293294295294293293293293292292292292292292292292293292291292292290292293292292292293294291293293293292293293293294293294294294294294293293293293294294295296297298297296296298297297296297296296295296296296296296297298298297297298298298298298298299299299299299299300300300301300300300300300300300301301301301300300300300300300299300301301301301300300300300300300299300299299299299299300300300299300299299299299300300301301301301301301302301302302302302302302302303305304304304304304304305305304304305305306306307306306306306306306306306306305305306306305305304304304304304303304305304305303305304304306305306305305305306305305305305305305305304304304304304304304304304304303303303303303302302303302302302302301301301301301302302301302301302302302302302302301301301300301301301300300301300300300300300300300300300300300300300300300300300300300300300301301300300301301300300300300299300300300300299299299299299300299299299299299298298298298299299299300300300299299299299299299299299299299298298299298298298298298297298297298297298297298297296296297296296296296295295295294294294294294293294293293293293293293292293293293293292292291291291 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292292292294294290288289288289290290289289290290290289289288288287286287287287286287286287287285286286286289290290291292293294293294293293293293294295302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283282281280281282283284284283283286286287287287288288288288288288289999999999290292290290291292291291292293293294294294293292292292293292292292292291291292291290290290290289289288288287285285283283283282282282284283283283285284284284284284283285284284283283283283283283283282282283283284283285285284285285999999292292288289288288291290290289287290292292292292292292290292292294296296297298296297295297299297296296295295295296297296295295295296295296296297297298297297297297297298297298297297297298297297297297297297298298298298298299299299297298299299299299299297297297296297297296298298298298298298299299299299299299299299298297297297296296296295296295296295295297296295296293293294294294295293293295294294294295295296296295297296295294294294294294294293295293293292292291292292292292292293292291292293292292293292293291292292291292291293292292293293293294294294293293294294293294294294295295296297296296296296296296295295296296296296296296296297297297298297297298298298298298298298298299299300299300300300300301300300300300300301300301301301302300301301300300301300300301301301301300300301300301300299300300299299299299300299299298299298299299299299300300301301301301301301302302302302302303302303303304304304305305304305305304304305305306306307306308308307306306307306306305306306306305305305303304304304304303304304304304305304304303304304305304305304304305304305305305304305304304304304304304304304303303303302302302302302302302302302301302301301301301301301301302302302302301301301301301301301301300301300300300300301301300300301301301301301300300301300300300300300300300300300300300300300300301301301300300300300300300300299299299299299300299299299299298298298298298298298298299300300300299299299299299299299299299299299299299299299298298298297298298298298298297298297296297297297296296296296296295295294294294293293293293293293292293292292292293293292292292291290290 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292290292291292293292291289289289289289289290291291291291291290288288289288287287286287287287286286286288287289289290292294293293294294294295294295296295302294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282282282281282283284283285285286286285286287286286288290291289288289285999999290290290289291291290292292293295295295295294292293295294295295294294294293295293294293292291291290289288287285283282281281281283284283284285285285284284285285285285284284285284284284285285284284283283283285285285285285286288286999999290292290291289289289289290289289290291290292293292289291290292292294295295297297297297297297297297296295296296298299297296297296296295295296297297297297297297297297298298297297298298298297297298297298297298297298298299298298298297297299298298299299298298297296297297296297298297297297298299298298299298299298298298297297297296296296296295294294295296294296296295295294294294294294295294294295295294295296295296297297296295295295295295295294293294294293294293294293293292292292292292292293293293293292292292292292292291292292292292293294294294294295294293293294295294295295295295294295295296296295295295295296296296296297296296296297297297297297298298298298298298298299298299299299299300300300301301301301301301300300300300301301301301300300300301300300300300301301302301301301301300301300300300300300301300299299300299300299299299299300300301301301301301302302302302302303303303303303303303304304304304305305306306305305305305305306307307307307307307307307306306306306305305305305304303304304304304304304304304304304304304303303303305304304304305304305305304304305305305304304304304304303303303303302302302302302302302302301301301301301301301300301301301301301301301301302302301301301301301301301300301300300301301301301301301301301301301301301300301300300300300300300300300301301301301301301301301301300300300299300300300299299299299300299299299298298298298299299299299300300300300299299299299299299300299299299298298299299299298298298298298298297298298298298298297297297297297296296296296295295294294294294293293293293293293292292293292292292292292291291291290