2021 8 30 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 90 89 92 93 97101103106108108107111112113113116115113110111106 99 93 90 90 89 88 82 85 90 90 94 90 95 97 99 91 91 91 92 94 94 95 93 94 96 94 98 99 99 99100 97 97 97 98 93 98 96 95 92 89 89 95 97100102 98 98999999999999999999999999999999999999999999999999999999999999999999999128128127127126125126126126126126999999999125125125125125125125124123123122999999999120120120120120120120119120120120120120120120120120120119119119118118118118118117117115113112110108107106105104999103103102102102102103103104104105105106106106106107107107107106106106106105105105104104104103103103102102102101101101100100100 99 99 99 99 98 98 98 97 97 97 96 96 96 95 95 94 94 93 93 93 93 93 93 93 93 93 93 93 93 94 94 95 95 95 96 96 96 97 97 98 98 99100100100100100100100 99 99 98 98 98 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 86 86 93 89 90 91 93 98100103105106106108108110111112111111108105104101 96 91 84 81 86 86 81 80 84 86 90 92 94 86 89 93 92 92 92 93 93 94 94 95100 99 99100100101 99 98 98 98 99 93101 92 91 91 92 89 95 98101 96 98999999999999999999999999999999999999999999999999999999999999999999127128129129128127127126127127127127127999999126126126126125125125125124123122999999121120120120120120120120120120121121121121121121121121121121121120120120120119119119118118116114112111109108107106105104104103103103103103104105105106106106107107107107107107107107107107106106106105105105104104104103103103102102102101101101100100 99 99 99 98 98 98 98 97 97 97 96 96 96 95 95 94 94 93 93 93 93 93 93 93 93 93 93 93 94 94 95 95 95 96 96 97 97 98 98 98 99 99100100100100100100100 99 99 99 98 98 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 86 91 92 93 94 96 97100100103105105106107108109110111107108104102 98 94 90 87 86 84 80 84 79 78 77 79 95 96 83 84 89 89 89 92 93 92 94 96 94 93 92 95 96100 99 99 97 98 98 99 99101100 95 92 91 93 89 91 98 95999999999999999999999999999999999999999999999999999999999999999999125126128129130129129128127127127127127127127127127126126126126126125125124124123122122121121120120120120120120121121121122122122122122122122122122122122122121121121121120120119119117115113111110109108106105104104104104104104105105106106107107107108108108108108108108108108107107107106106106105105105104104104103103102102101101101100100 99 99 99 98 98 98 98 97 97 97 96 96 96 95 95 94 94 93 93 93 93 93 93 93 93 93 93 94 94 95 95 96 96 96 97 97 98 98 99 99100100101101101101101101100100 99 99 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131138135135133129128126124123127123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 84100101102103102104106105106109110110111112112112109107104101100 94 90 88 88 85 84 80 84 79 86 84 94 88 80 79 81 84 85 86 90 90 90 91 93 95 96 95 97 96101100 99 96 97 98 98101103101 99 96102100100100999999999999999999999999999999999999999999999999999999999999999999999999999128129130131131130129128128128128128127127127127127126126126126125125124124123122122121121121120120120120121121121122122122122122122122122122122122122122121121121121120120119119117116114113111110109108107106106106106106105106106107107108108108108109109109109109109108108108107107107106106106105105105104104103103102102101101101100100 99 99 99 98 98 98 98 98 97 97 97 96 96 96 95 95 95 94 94 94 94 94 94 94 94 94 94 94 95 95 95 96 96 96 97 97 97 98 98 98 99 99100100100100100100 99 99 99 99 98 98 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141145139135134131132136126125125129128120115999999999110127122126126118999999999999999999999999999999999999999999999999999999999999999999999999999999 83 83 83 84109 87108110112114115115114113114113115113108103100 95 93 91 84 90 86 82 79 77 78 77 85 92 93 82 81 82 82 84 85 86 89 88 88 92 93 95 95 96 97 96 98 97 98 98 97 99100104106103 99 99105999999999999999999999999999999999999999999999999999999999999999999999999999999128130130131132132132131130129128128128128128127127127126126126126126125125124124123123122121121121121121121121121121122122122122122123123123122122122122122122121121121121120120119119118116115114113112111110109108108108107107107107107108108108108109109109109109109109109108108108107107107106106105105105104104104103102102102101101100100 99 99 99 99 98 98 98 98 98 97 97 97 97 96 96 96 96 95 95 95 95 94 94 94 94 94 95 95 95 95 95 95 95 96 96 96 96 97 97 97 98 98 98 99 99 99 99 99 99 99 99 98 98 98 98 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162162999999999999999999999999999999999999999999999999999999999999999136135134141138138134136131138139138135133130125123116112111110110110114116123123120115116999999999999999999999999999999999999999999999999999999999999999999999999 81 85 82999999999999999999119120119116115113112113110104102101 95 91 91 86 87 83 81 78 77 77 77 88 90 87 86 88 85 83 86 87 88 90 88 92 93 94 94 96 96 97 97 95 96 97100101 99103106109111110 99999999999999999999999999999999999999999999999999999999999999999999999999999999999131132133134133133132132131130129129128128128127127127126126126126125125125124124123123122121121121121121121121121122122122122122123123123123123122122122122122122121121121120120119119118117116115114113112111110109109109109108108108108108109109109109109109109109109109109108108108107107106106106105105105104104103103102102101101100100 99 99 99 99 98 98 98 98 98 98 98 97 97 97 97 97 96 96 96 96 95 95 95 95 95 95 95 95 95 96 96 96 95 95 95 95 96 96 96 96 96 97 97 97 98 98 98 98 98 98 98 98 98 98 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166999999999167169168164162162157158160158155155155159161164164161160162161160159999999999999156154154161157151143141999999999999999999999149140142143140140999999999136136135136135138136132134136135133132130127121119115112112110109110111112117121115115110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 99124120116115107105105104 92 87 88 87 88 87 83 83 80 78 78 77 78 86 88 88 89 91 82 83 84 86 89 91 92 93 94 94 95 95 96 97 97 98 97100103 99102104107101100100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134130132136134132131128131130129129128128127127126126126126125125125125124124123123122122121121121121121122122122122123123123123123123123123123123122122122122122122121120120119119118117117116116115114113112111111110110110109109109109109109109109109109109109109109108108108107107107106106105105105104104104103102102101101100100100 99 99 99 98 98 98 98 98 98 98 98 98 98 97 97 97 97 97 97 96 96 96 96 96 96 96 96 96 96 96 96 96 96 95 95 95 95 95 95 95 96 96 96 96 97 97 97 97 97 97 97 97 97 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156154153159161164165165164168166166164162161159161163161154159159161161163159159160161160159157999999999999159155155158154151141137133128134144141141144143140143144139137138999136137136135135134131134132132131133130127125124121119118116114109107107107106106111112112109123123107106105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999102115103 98 97 97 92 95 86 84 86 85 85 82 80 81 80 81 77 79 78 80 89 91 82 82 83 85 85 87 91 92 94 94 94 95 95 95 95 96 96 96 94101106109104103103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135135136136135137135134133130130132129129128128127126126126125125125125124124124123123122122122122122122122122122122122123123123123123123123123123123123123122122122122122121121120119119118118118117117116115114113113112112111111110110110110110110110109109109109109109108108108107107107106106105105105104104103103102102101101100100 99 99 99 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 97 97 97 97 97 97 96 96 96 96 97 97 97 96 96 96 95 95 95 95 95 95 95 95 95 95 95 96 96 96 96 96 96 96 96 96 97 97 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161154151155154152155160163165166167169170168166168167167167166163162161161162163164162164163163162161159156154153153155156160161159157155153147137131132133138141142141141145144140140137138135134131135135125132134129129129127124124123121119114112114114109108104101105108120109109108108124106104999999999999999999999999999999999999 90 93 88 87 89999999999999999 85 75 82 84 79 82 87 94100107 99 96 93 97 91 94 89 89 86 84 84 84 81 81 81 82 84 83 76 77 80 85 83 84 85 87 90 91 91 92 93 94 95 96 96 96 96 95 99 97 98 97101101103109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136136136137136136137138137135132129127129999999128127127126126126125125125125125124124124123123123123123123123123123123123123123123123123123123123123123122122122122122122122121120120119119118118118117117116115114114113112112111111110110110110110110110110110109109109109108108108107107107106106106105105104104104103103102101101100100100 99 99 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 97 97 97 97 97 97 97 97 97 96 96 95 94 94 94 94 94 93 93 94 94 94 94 94 95 95 95 95 95 95 95 95 96 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162160158162157155156157159164163165167168169168168167164165166166164163162162161163162162162161159159159157157152154153154155156160161160160158155152149139139138144148149147143143143140139138137132132127125127127129123124124126123126122119115113111115112111 99101 98 93109999999999999999999999999999999999999999999999999999999 98 90 89 89 85 85 81 78 79 84 89 86 82 77 74 83 84 88 89 92 93 96 94 92 92 93 88 83 83 86 83 86 84 85 86 84 83 82 82 83 78 79 83 85 87 86 82 84 88 92 92 92 89 90 95 95 95 97 98 97 97 99100101100103106103999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136137141138138139139136139137136134999999999999999999118117120124127128126126126125125125124124124124123123123123123123123123123123123123123123123123122122122122122122122121121121120120119119118118118117117116115115114113113112112111111110110110110110110110110110109109109109108108108107107106106106105105105104104103103102102101101100100 99 99 98 98 98 98 98 98 98 98 99 99 99 99 99 99 99 99 99 99 99 98 98 98 98 97 97 97 97 97 97 96 95 95 94 93 93 93 92 92 92 92 92 93 93 93 93 94 94 94 94 94 94 94 95 95 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164169163161160163158158158159161162164166168168168166166165163162166163164164163162162163162162162162161161160160159158158157157159162163163162152151157156155152141148147149151149147144146143142141134131136133133132128129123122121120122120115112113110107107108105100101100104105108999999999999999999999999102100103104 97999999999 92 93 90 88 86 85 81 82 78 77 84 87 85 83 74 80 84 84 82 87 86 84 82 80 85 90 94 96 84 83 78 80 85 85 83 84 83 84 86 85 85 82 83 86 87 87 88 90 91 92 93 93 93 90 90 97 97 97 93 96100 99100 96100111104115101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137142140139141140138139134134999999999999999999999999127118125128127128127127126126126126125125125125124124124124124124124124124124123123123123123122122122122122122121121121121121120120119119119118118117117116116115114113113112112111111111111110110110110110110110110109109109108108108107107107106106106105105105104104103103102101101100100 99 99 98 98 98 98 98 98 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 98 98 98 98 97 97 97 96 95 94 93 92 92 91 91 91 91 91 91 92 92 92 92 92 93 93 93 93 93 93 94 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171171169164162160159160162163162164166168168167167166163163164164164162163164163164165164164163162162162162161161161160159160160160160159158154154153160159157155156150159159152151156151153151148144148147142139137130125124121124123123122119114113111108108111108107107106106103102 99101 95 92999 98 91 89 98 96 97 96 96 93 93 95 91 92 92 90 88 88 88 88 82 78 81 86 80 79 80 76 91 89 85 78 82 81 78 73 74 88 94 92 78 80 77 79 79 85 83 80 82 84 86 87 85 83 82 82 83 85 91 93 94 95 94 94 91 93 96 91 94 99 93 97 99104103103107113110108102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136138138139139140140139140140134999999999999999999117117117120124129129129128127128128128128129126126126126125125125125125125125124124124124123123123123122122122122121121121121121121120120120119119119118118117117116116115114114113113112112111111111111110110110110110110110109109109108108108107107107106106106106105105105104103103102102101100100 99 99 98 98 98 98 98 99 99 99 99 99 99 99 99100100100100100100100 99 99 99 99 98 98 98 97 97 96 95 93 92 91 91 90 90 90 89 90 90 90 91 91 91 91 91 92 92 92 92 92 93 93 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165164171172171164163164162161164165163164167166167168167165164163163166165164161165165165165164163163161162160161159160160159160160160159155159158154163163163162160152152161155154158157156154152151148146145142140139137128122123127128130130126121117118116114115112106108109108101104103 96 96 99 97100100 99 98101101100 97 96 98 99 97 96 95 95 92 91 92 90 89 87 88 93 88 90 92 95 99 86 93 78 87 90 85 85 82 78 77 78 78 79 81 83 82 83 88 87 88 88 95 93 92 90 82 84 83 87 89 93 94 95 94 94 90 91 95 93 95 99100 95105109109109111109110112105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999134137139141139139137139139140140139999999999132126124121121121123125128128128128128128128129124126127127126123128126126126126126125125125125124124123123123122122122122121121121121121121120120120120119119119118118117117116116115114114113113112112111111111111111111110110110110110109109109108108108107107107107106106106106105105104104103102102101100100 99 99 98 98 98 98 98 99 99 99 99 99 99100100100100100100100101100100100100 99 99 98 98 97 97 96 94 93 92 90 90 89 89 88 88 88 89 89 89 90 90 90 90 90 91 91 91 91 92 92 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171163164162163163166164164162161165166164164166168167168167167167164164166165165162163162167166165163162162162161160160159161160160161161156156160159158164163163162161158158157156159154155153153152147147144139137132132131140129129131132131132128127126124122119118116113111108106105104104104104100102102102101102101100 99101101 98 98 99 97 95 94 92 91 90 92 91 92 89 94 91 89 89 95 87 89 74 85 86 77 80 87 86 86 87 85 85 87 88 88 88 88 93 94 91 95 95 92 85 82 80 85 87 88 90 92 94 94 95 93 94 95 90 92 90 92 93 93100105105106116118122104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136139140140139137139138137135137139135999125127127125127130129129129129128128128125126125126127126128127127130129129126129128126126126125125125125124124123123123123122122122121121121121120120120120119119119118118118117117116116115114114113113113112112112111111111111111111110110110110109109109108108108107107107107106106106105105105104103103102101101100 99 99 99 99 99 98 99 99 99 99100100100100100100100100101101101100100 99 99 98 98 97 97 96 95 94 93 92 91 90 89 89 88 88 87 88 88 89 89 90 90 90 90 91 91 91 91 92 92 92 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173172169172168164164164168165163164166168168168168166168169170170169169166165164163163167163167166166165165164163163162159162162162161160161162157156158158158163156157155160160157157157156152154154154152151150147139136134130129135133133133131131132132128131131128121120118118118116112110110107106107106106106104105103102102101 98102 98 98 96 95 93 90 87 88 87 88 91 90 89 91 90 89 81 71 75 78 81 90 84 83 82 88 88 91 90 91 90 90 96 91 95 98 98100 91 98100 97 92 88 88 86 87 90 90 92 93 93 87 90 96 92 93 94 91 94 92 96 99103107111122104999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132138137139137137138137138139137134134133128126126129132133135136136135132131128128128127128127130130129127130130130130129128127126125129128129125125125125124124124124123123123122122121121121120120120119119119118118118117117117116116115114114114113113112112112112112112111111111111110110110109109109109108108108107107107107106106106105105104104103103102101101100100 99 99 99 99 99 99100100100100100100101101101101101101101100100 99 98 98 97 96 95 95 94 93 92 91 90 89 88 88 88 87 87 87 88 88 89 90 90 90 91 91 91 91 92 92 92 92 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169168168170171172166166170169166166164165165166167167167167169170169170170171170168167167166166166165167167167166166166166164163164163162162162162161161160160160164164163162157156155159157157150156155154155154153152149148147146138136132132137136136137136133127132136134133128123121123126126122118113110112114115111110108107108108106103100 97 97 96 96 95 92 89 89 88 90 90 89 87 89 86 84 87 88 88 91 93 91 91 92 88 87 88 89 92 94 94 92 89 91 93 95102105104102 98 96 98 96 95 92 91 89 88 86 89 88 89 85 86 91 93 95 92 94 99 99102102107110121122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137135137137137138138140140141134129130127124128131131131134134138137136131130129128127128127128129129130129129130129128125126125123126127128126124126127128125125124124124123123123122122121121120120119119119118118117117117117116116115115114114114113113113113112112112112112112111111111110110110109109109109108108108107107107106106106105105105104104103102102101101100100100 99 99 99100100100101101101101101101101101101101101100 99 98 98 97 96 95 94 93 92 92 91 90 89 88 88 87 87 87 86 87 88 88 89 90 90 90 91 91 91 92 92 92 92 92 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999162161168169168166166166166170169169164163164164166167167168170170169170170171171171169169170168167166165167168168168167167167165164163164163163162162162162160160160159164163162161155156155154154153152155156155154154154152149147142140139137135140137137137139138134135139135129129127128128127127128122122124124121120115114111107107106105105102101 98 98 97 94 89 87 88 89 89 87 89 88 84 84 84 85 85 89101 95 94 98 96 96 94104 99102101 99 97 96 90 95101106106103101101 99101101 99 96 91 90 88 83 87 87 83 88 90 91 91 93 97100103103114105116111101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999136138139137137142144143142140136132126123122126128127130131133133134133132130127126126125126127128129129129129131130127127127126128128129128127126128126127128127130125125125124124123123122121121120120119119118118117117117116116116116115115114114114114113113113113113113112112112111111111110110110109109109109108108108108107107107106106106105105105104103103102102101101100100100 99100100100101101101101101101102102101101101101100 99 98 97 96 95 94 93 92 91 90 90 89 88 88 87 87 86 86 86 86 87 88 89 89 90 90 91 91 92 92 92 92 92 92 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169166171172172167166167165166165169166168164166167166167167167168170170169170170171171171170171171169168167166165168169169169168168166165165165164164162160162162161160160159158161160156156156155155153155154155155155154154151150150146144138145144142141140138140143141138137139138132133134135135135133129129128131130129123118116114110109109107108105101100100100 98 88 85 87 90 89 84 84 86 85 86 89 93 97 98102100101103103107108110108107102109105101103105107108105103102102102102102100 96 90 89 86 84 85 88 89 89 91 93 96 99104112112112105101999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138141141143143145147148147142136132129127126127128128128129129130130131131130128126126127127128130130130129131130130127126127127127127127127127126130129129128127128128126125126125124124123122122121120119119118118117117116116116116116115115115115114114114114114113113113113113112112112111111110110110110109109109109108108108108107107107106106106105105105104103103102102101101101100100100101101101102102102102102102102102102102101100 99 98 96 95 94 93 92 91 90 89 89 88 88 87 87 86 86 86 85 86 87 88 88 89 90 90 91 91 92 92 92 92 92 92 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167165166168167169169169171166166166169170172170170170168168167166167169169171171170170171170170170170168168167166166168168169169169168168167166165165164162161160162162160159159159157157156156154154156155155155154154154154153149149147146142143143142145145144142143139139138136139138141137138139138137136135135135131131131124122118115113111112110109110106105105102103106 95 97100 96 94 94 97 99100100103107110108109108109111116117116115102103103100 99110107107107106105105106106104101100 96 94 93 90 90 91 93 93 96 97 95 97106111114115114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142141142143144145147148145142134130130131131131133132135135132131132128133130128127128128128129128130130130129129128126127127127127125125127129127126125125125123123125126125126130131128126122122121120119119118118117117117116116116116115115115115114114114114113113113113112112112112111111110110110110109109109109109109108108108108108107107107107106106106105104104103103102102102101101101102102102102102102102102102102102102102101100 99 97 96 95 94 93 92 91 90 90 89 89 89 88 88 88 87 87 87 87 88 88 89 90 90 91 91 91 92 92 92 92 92 92 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164169165166165168168169172167165166170174173175174170171169168168168168169171170172170169169169171171169167166165165164167168169168167168167167166165164165162162163163162160159159157157156154156155154155153153153153153152151149150145145150144148147146146146146143144142144143144141142139140139139139138132132134134130130128124124120118114113115120120112117115111105106 99103101100101101106106106105107111113114109112114109110115114107104112110 97 97110110111108107106107108107102103101100 99 98 95 96 97 97101100 98100103107113105999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142141145144144145148148146143139134133133135134134131131130132132129130129128128129127128128129129130130129127126126126127128127128128125126125125125124124124123125126125127128129126125122114118121120120119119118118117117116116116116115115115114114114114113113113113112112112112111111111110110110109109109109109109109109109109109108108108108108107107106106105105104104103103103102102102103103103103103103103103103103102102102101100 99 97 96 94 94 93 92 91 91 91 90 90 90 90 89 89 89 88 88 89 89 89 90 90 91 91 91 92 92 92 92 92 92 92 92 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163161164159163166168168168168168166169172173173174174174173169169170170170170171172169170170170169168169169170168166165165167167168167167167167166166165165164163163162160163162161160157156157157155157153152150151151151148147149151151150150150149150149148147146146146146145144143144141141142141142140141138138130130130130128128128130125120120119118119119111109100103102105104101102108110108110108111110110111112113112115118119115114115116115114100110107111113113109107107107106105106106105104105104103101102102102999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140137139144145142144145144142141141136135135135134131131134134133131130131129128130130130129129129129129127126125126126127127128127127126125125125123124124124123127126128130130125125121117116118119122121121119118118117117116116116116115115115114114114114113113113112112112111111111110110110109109109109109109109109109109109109109109109109109108108108107107106106105105104104104104103103104104104104104103103103103103102102102101100 98 97 95 94 93 93 92 92 91 91 91 91 91 91 90 90 90 90 90 90 90 90 91 91 91 92 92 92 92 92 92 92 92 93 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999163164161161160161166164164165166167170166168172173173173171170171170171171171167168168168169170169170170169169168168168167166168167167167166165164164163164164163162161159161160159159159158159158158155156155153151150149149148150150149149150150150149148147148148147146148147147146145143142141139140138137137138130129131130130129133128131123120120116118119112113107106106107106107111114119116112116111111113115114114117116118118117114115116115116104111112112112112112109109106108110110109107109106105102 96 96 96 97999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151145151143999999999999138148145138137137135138137137137135134134132132130130132132132129130131128128127126126128125125125124125125125126125124125125125124124127126129128123120122122120120124124122114114120121119117117117116116116115115115114114114113113113112112112111111111110110110110109109109109109109109109109110110110110110110110110109109109108108107107106106105105105105105105105105105105104104104104103103103102102101100 98 97 95 94 93 93 93 92 92 92 92 92 92 92 92 92 91 91 91 91 91 91 91 92 92 92 92 92 93 93 93 93 93 93 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154147149149152164166159161161167162162167165171171168168169170169170169169170169170170167167168167168169169170169168168167167166166167166168167168167166164164162162164164163162161161158158156152158156156156154152155155154152152151149149150148148149149150149147146147147147145147148148147146144142141141138140137132137136136133131131130131136134133128127124121120117115115115111113113116113117116122121116119118119117117115118117114112116115116118117113113112115112111110111112113112111112114112112110999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149999999999999999999999136138139139137136134136136135135135136136134134134134133133135135134130128124126124122124125125124126124123123123125125128128128126126124124124124123124123123122122120118119120117118118117116116116115115115114114114113113112112112111111110110110110109109109109109109109109109109110110110110111111111111110110110110109109108108107107107106106106106106106105105105105105104104104103103102102101100 98 96 95 93 93 93 93 93 92 93 93 93 93 93 93 93 93 93 92 92 92 92 92 92 92 92 93 93 93 93 93 93 93 93 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157154154152154152155161162162162164166168171169172171171171171169170170171170170171169169169169169169169169168168169169167166165167167166165167166166166165163163163162164165164163162160159157157158152151157156154152152154154153151151151150150150149148148148149147146147145144145147147147148147145139140141140139140141139133135134132129127130130128131132131129125122121116116118118119120113115115119123123118119120121120120120119121121112111118119121120115116116117117112112113112113112112113113113112109 94100999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137140139135135134134133134132132133136135135134134134133134134134131132127126124126125126125125125124122122123125124127127127126125125125124125125123124123122121121122120119120118119118117118118115116116115115114114114113113112112112111111111110110110110109109109109109109110110110111111111111111111111111110110110109109108108107107106106106106105105105105104104104103103103103102102101101101 99 98 97 95 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 93 93 93 93 93 93 93 93 94 94 94 94 94 93 93 93 93 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156158156157152154158162167170167164163168169171171169168168168169168169170171170171169169172170170170169170170169168169169168167166166165166168165165166166166163163163163162162164164164162161159159160153151156156155153153153154152152152150150149150148147145147146146146146146144145144145144144144143142142139138140140140136135137139134134139132133133132132130129126122121120119122123124124115117122121121125123123122125123121121118121121120120120115116114115114115114116113112113112108110113115110112110112100105109999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137138139136135134134133132131129129129131135137136135134135134135132133133133126126130124123123130130129122122121122128126125127126125124123124124124124123123122122120120119120120119118121120122121116116117116115115114114113113112112112112111111111111110110110110110110110110110111111111112112112112112111111111110110109109108108107107106106106105105105104104103103102102102102101101101101100100 99 98 97 96 95 95 95 95 95 95 95 95 95 95 95 95 95 95 94 94 94 94 94 94 94 94 94 94 94 95 94 94 94 94 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157157156157156159156156160162169169166166167168168168167167167166167168168169169170170170169168170167167169169169168166165165166167165165164167165165164163164163163163161160160163163163160159159161161160158159158157157156153155154153153153152150150148148147146146146146146145144147146142142144145144143143140139138137141139142136134138138141140138130134134133131130130126126122124124124124125119117117124122127127122122124123122119116116121121122122119120114115115113112110109109111111111110114116117114116116115102105108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138138139138136136134133134132129125123123125128131135134132136136136136135135133132131129129130130130130131130130129129131131130128126126124121125126124124125123122123122121122120120121120120122122123121116115113116115112117114114113113112112112112111111111111111110110111111111111111112112112113113112112112112111111110110109109108108107106106106105105105104103103102102101101101100100100100100100 99 99 98 97 96 95 96 96 96 96 96 96 96 96 96 96 96 96 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 94 94 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157159159158160162159159159160162164165167167167167167168167167169168169169169170170171170171171170168168167168168169168165166166167167167166168168166164163164164164163163162160162162162163162162161160159159159155154154158157155155155154153154152149148147146147146145144145146146147146148144142142142142142141140138136137139128133132135137139139137136130134134133131130130130130125125125126128129120117120122126125128126123122121118117119120122122122121112111112116115112111107106109112112113116117117119118117116115102104107999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138138138137138137137136134135132133127125122122125130133133132136136136136136134132131131130130128128128131131131131131131131131129129128128127127125126124124125122125124123123124125123125121119119121118118117116116115115113110114114113113113112112112112112112111111111111111111111112112112113113114113113113112112112111111110109109108107107106106105105105104103103102101100100100 99 99 99 99 99 99 99 99 98 98 97 97 96 96 97 97 97 97 97 97 97 97 97 97 97 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 95 95 95 94 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999160161159159160160160157158161163161163166166164164167168168166166167167167168167168170170170169170170169170168167166167167167165166166165165165166164166166166165165163163162162162161161162162162160160160160159159159158155154155155158157156156156155154154153152150149147146145145144144147146147146146146144140141139140140138137138136138135132139138137142137138137129132132133133132129129130124126126129131123122121128122124121121120116115115116117118120120121114113112112111114111109109106108111113114115116117119120119117108108113116999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145137137139141137136136134135140138134129128125125127131132132132137136136136135136134130129129128128130131131131131130132130130130129127128128129128126125124125126125125125125124126125124124123120121122119118119121119119116114115114114113110112113113113112112112112112111112112112112112113113113114114114114113113113112111111110109109108107107106106105105104104103102101100 99 99 98 98 98 98 98 98 98 98 98 98 98 97 97 97 97 97 98 98 99 98 98 98 98 98 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 96 96 95 95 95 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999156158160159159159158157156160163163165166168167166167168168168166166166166167167167168169169169169169168168168167166166166166166165164164165165165165163162161161165163160157157159159162162162161160160160158158156156157153153152153154157156155155154152151153152151150148147146145144143144143143144145144144144146143139137136135135135133134133132134138139138138137137135127130133131129130128129127126127129129127123122124124118118118117114114112112114120120116110112112112111110111111111110110110111114116116118119121123121119111120118999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139142142141138137136135135137139137133131129127129132131134135138136136136136135134130129129131130131132132131131129128130129128128129129128129128123125124125125125125126126127127126126125123124124121120120119118118118118117115115114111110117116110113113113112112112112112112112112112113113113113113113113112112111111110109109108108107106106105105104104103103102101100 99 99 98 98 98 98 98 98 98 98 98 98 98 98 98 98 97 98 98 98 99 99 99 99 99 98 98 98 98 98 97 97 97 97 97 97 98 98 98 98 97 97 97 97 96 96 96 95 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999157155156158157155155153157157158160164167168168167168168170169169166166167167167167167168168167167167167166167167167165165164164164162161161162162164163162162161160162161157157162161161161161154160159159158156153153155156155151150150157154154154152152149149151151150147145145146144145145143142142143143143144143144144144138138136134134133132131131134135138138138137136135127127132132130131131129128128127131128124122123122120117111113109107108110123122119110104103109109110109108107109110111110111115116117118121123124125119118111999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138142143143138137136135135136138139137134131130130137136138137137135135134136135134130130130130131131133133132132131130130130125126129129129128128128127128126127127126126126127126127127126123123121121120120120119118118116115114111114114113115117110111113112113113112112112112112112112112112112112112112111111110110109109108108107106106106105105104103103102101101100 99 99 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 99 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 97 97 97 96 96 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155155154155153153154155153156155155159160162164168169168169170168169167164168167166167167168168167168167166165166167166166166163161158155153154155159160162162161161160155154160158154157158159160159158158156156156157152155155151155154156155155154152152151151151150150149148147145143144145142142142141140140141142141141142141141140140136133133138134132132132132134137137136136135135129129132132132132132130128130137129130127125116115114113116114111110112110111122117112109107108109108108107111110111112109118119119120123125123124124118118999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138140142142138138137138138138137139139137135135135134135135137136135135133135135132131132132130132133132133133132131131129127125127126126127126126128128127127127127127127128127128128127126124123122121117124120119118118119117115115110111112114111112111110111115117113112112112112112112112112112112111111110110109109108108107106106105105105104104103102102101100100 99 99 98 98 98 98 98 98 98 98 98 98 98 99 99 99 99 99 98 99 99 99 99100 99 99 99 99 99 99 99 98 98 98 98 98 98 98 98 98 98 98 98 98 98 97 97 97 97 96 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999155153154155155153153153156156157160158160161164166168168168168167167166168166166166166167167168166167167166166165166167167166166165157148143148146149156158160159159159156153152157156157156158158157153156156155154154155151151151150153153153148148147151149148148148147147146146145143143144142142140139141140139138138138138138138138137137135134133134131130129131136134137137136135134126130132131131132130130128131130132128128128128118117117115118114111110110121121119118115111110110114113114114115113115117112121123123122125125124119118999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140139140138138138140138138138138139139139137136135135135137137136135135136135134133132133132131133133133132132131132131130128128127129129126126126128128128128125126127128131130130130126126124122122125123120122118117119119119116115111111114114112113111111110113119120122125112112112112112111111111110110109109108107107106106105105104104104104103102102101100 99 99 98 98 98 97 97 97 97 97 98 98 98 98 99 99 99 99 99 99 99 99 99 99100100100100100100 99 99 99 99 99 99 99 99 99 99 99 99 99 98 98 98 98 98 98 97 97 97 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153151152154155156156156157159159163163164163164165167168167165167166166166165166166166166166167167166166166166166165166167166166167164156148144141141148154156156156157155152151151152154156154156156153152153151153152152149150150150149147147149148148147150149147147147146147145145145143143143141140140140138137137135135135135135135132134134131130131131129128129131134136137137137135133126128131132130130130130128129132131131127131129118115114115116113113112114114122121119118115114115117117117117118119118119119120121121119123124120999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140140139140142142141138139140141141141141140138137136135136137137137137136135135134134135133133132132133132132131131132131129128128128124124124126128128128126126127127127130130129129129126125127123123121118114117117119119118117117113112110113111113115116117120118122116114116115119112112111110110109109108107107106106105105104103103103103103103102101100 99 98 97 97 97 97 97 97 97 97 97 98 98 98 98 99 99 99 99 99 99 99100100100100100100100100100100100100 99 99 99 99 99 99 99 99 99 99 99 99 99 98 98 98 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153148152151151154155155156157158161164164164165166167164165166166164164165165165164165165165165164166166166165165165165164164163165166166164160154148146146148149149151152155154150149151152153152152152151151150149150152150148148148147147146147146151146148146150149147147146147147146145141140143142140140140139138138138136135135134128128132133132132130129129127126126129132134135134134132128128132129130131131129128128132131128127127128125118115119119120123117118122115114120118117117116118119118120121122125125121120120119120117120121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140138141142143142141142140141140139137137137138138136137137136135134134134134135132129132132132133131129130131128129129130125127129129129128129126127128126127128129129127127125128125124124121119120118118119117116118116113113113113117117117119121108114111109111114115119116119110109109108107107106106105105104104104103103103103103103102101101100 99 99 99 98 98 98 98 98 98 98 99 99 99100100100100100101101101101101101101101101101101101101101100100100100100100100100100100100100 99 99 99 99 99 98 98 98 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999150149149152153154155160156156157158163162164165165164165163163165165164164167167165163164164163163163164164164164163163163161161162164165164162161158153148145141143144147150152149147147149150149148148150149147146146149149145145147148148147146150149149145146149148148147146145145144144144143142140142138137139138137137135136136129124127126127125126128128128127126124127127128132132132133122125127124133128128129129124127131128127127126126125125125119116121125119121120120126118117115115117120120120121124125125125124120119119120116115999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140142140142143141142142142142142141139137137138138137137138135134133132133133133133131133130130130129129130130132126129129124129129129128127128129127127127130128132131128128126122121121123121121119120119118119117116116115116116115114117114112108109108108110114114114111108115114103101107106105105104104104104104103103103103103103103103102101101100100100 99 99 99 99 99 99 99100100100101101101101102102102102102102102102102102102102101101101101101101101101101101101101101100100100100 99 99 99 99 99 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146147148151154154154159156159160162163163163165164164164163163163166166165166165163164168165163164164164164163163161163161161161163165164163161160158152143139135140141143145143143142145147146145144144143143144144144145145144150151151151149149149149149148148148147147146145145144144143143143141141140139137139139138136131132128129127127124125124125131131131131129126127125126129128130122126124123127125132123127124124128129127127125126125123122122115115124126120119118118116114115116118118119121122123122123125125124123122118124117120999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140139139144144143143143136141142141137136137137136135138139139136135135134135134132132133129129130129129130130130127129123122129129130129128129128127128127127131132131129127126121123123122121121120119115116116116110112116113109114117115111112113114112109110111111108107111108109102103107105104104103103103103103103103103103103104104103103102102101101101100100100100100100100100101101101102102102103103103103103103103102102102102102102102102102102102102102102102102102101101101100100100100100100100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152147146148148149151152152162157159161162160162162163164164163163165166165165164165161162166166164164163163163161159157159160159159159161163163163161160157151145139133137138142141140141139138141138139140139140141141145142145147146146149147139148142144146146147147146145146145145144144144142141140139136137136136132131138136132128129128127127125124125123126125129129128127127127125125125125126127128128129130130129128122122128127126125125124124123123119123122116117115115114117116116116115117117121122122122122124125125125123122121122119119999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139142142142145143138136135141141137136136135135134134133136135136135132134133132133132129130131130129130130129127126126127127128129128132131126126127132130131131130129129127120122120121119119119114118116118116113117116111109117116114114102102107112111111110109107108110109104101101 97 90103102102102102102102103103103103104104104104103103103102102102101101101101101101101101102102102103103103104104104104104104103103103103103103103103103103103103103103103103103102102102101101101100100100100100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151150149148149148149150150154158158159161162161162163163164163165166167165162161164164160164164164164164163162164160158156156159160164163160160162162161159157152148148144139139138143141140138137138137136135135139138136136139141142141142145139139139138133135139137144144144144143143142142141141144144143135135136137130130136133132129129125124126124122122121124122120128127120120122125124123124124125124125121128128128128124129128125125123122124123122121118124122114114114117116116117116117119117118120121122120123125126126126124122122120120999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139135135135140138136135139138138138134135133133132132133134132134131132132133131128127128131130130130129128129124124127127127122129128131131125130126129129129129128123128124122122120115119120121120119121117117118116114110110110113114110112110113114111110105107109108106104 96 99 93102102101101101100101101102102103103103104104104104104104104103103103102102101101102102102102103103103104104104104105105105105104104104103103103103103103103104104104104104104103103103103102102101101101101101101101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152151151150150152153151151154155158159159159161160161162162164164164165165164163161160163162162162162163163163162161157157157157158159159161162160161161160159158155153152150145144144144141140136135136136134134136134133130132131134136138138141142137135140134134136133136143143142142141140142141140139143144138134135133137138130131127127127134127127125122122126124123118118118121120120118124123124124124123123121128128128122128127124125129127127123125125125122127127116113114120118117119121119120120120122123124125122126127128128126125124121118999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144144134136134999999999999999139141137129136137142139138137137136135136131132131130133134134133130130129130132131128127129131130129131127130129127127128126131130131131127130126125122125125123125126125125126126122120121119120120119118118118117116115111113107108114112113114113116118116108104108109107102105 96 99100104104102103102102104103108103103103104104104105104104104103103103102102101101101101101101102102102103103104104104105105105105105104104104104104103103103103103103103103103103103103103102102101101100100100100100101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148152153153151150152153152150153154155158157159159160160162161162163164164164164162161161161161161161161161161161160159158156157157158158161161162163165164165167166158160160156153153147145143137137135134133133133132132126125125127129129133134134135136137133142143140139140139140141141140140141141141140138138144139139142141139138130127129128128131127127126123123128127126127126122119119123125124124126124125125124125127128128128127128127127128128130124125124124126127126122123123121122121121121121121122121123124125126127127128128128128126117114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138133141144135138139136999999999132134137135139138138138136136135135134134134131132132133132133131128130130129130131132132131131129128129130127129129127128131132132132131130127131130128122124126127124124125123123124123124122121121118118117117116115114113118114114110109103112110107110112107104106106101102102105 92 95 94105104104104 99102111109103101100104104104104105104104104103103102102101100100100100100101101102102103103104104105105105105105105105104104104104104103103103103103103103103102102102102102101101100100100100100100100100101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148149150153154150149150153153153153153154156157157158159160160162161164164165165163164162161160160160160160159159159158157156156157157158163161161162162164165165164159160159160157162159154148145142139136136136135133132133128124123123123123122127131129129129127134136133133132133137138139139139139139138140141134135138141141141140138139137133129129130130128130127127127129129127126124123119122121122121123123126126126125126126120127127126127127126127127129123125124123123127126125124124125124124123121124123122121124127127128129129129128129127126120120999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140138138140139141142139135129130129137137137139136138136134134133132133133132129131133133131131131129130130130132132132129128131128128131131130129128128131131132131131130128129128130127128128127125125121122126126127127127122120119116117116116114117116119120108111113108 99113108110110103103105104103 98106106105104100 99100109104 94101105109109 98 99 99 97101108105105104104103103102102101100100 99 99100100100100101102103103104104105105105106105105105105104104104104103103103103103102102102102102102101101101100100 99 99 99100100100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149150150152153152149148149150153155159158157155157157158159158160161162160161164164164163162161160159159159159159158158158157156155156156156160159159159161161162163164164158160160160159158160157156152149145141139141137137134130136131127124136128123117126128125123126121128130128127129131133136136136138136137137138136137136140136136135139139135133134131131131129130129128126124123126124124124123122121122121122123126126126126125118119124128127126126124123125128125126124128129129128128127124127124122125125123123123124124128127129129128127129129127120113122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140145143143141138141142139136133133135131132137136136137134132131131132132130130130134132131132129129131131130132131132128130128128128132129130129131132131130130129129129128127127128128127127128127122121123124125125126126123122121118115117115115114119117116114114111107107111109105106108104104101103102105100100102109102102100107101104106109109107102105104104102105108108106104103103102101101100 99 98 99 99 99 99100101101102103104105105105105106106105105105105105104104103103103103102102102102101101101101100100100 99 99 99 99 99 99100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149148150151152152150149149150150152155153154158158155157158158158158159160161159159162162162161160160158157156157158158157156156156156154154154154158157159160162168168169169168170161168161159160160160159156153148145145145143141136140138132126129121125125124124125125121122117122124126126125124125129135136137136137136137137137137138138137137140138134134135133131131131133130129126125124125124123122121121119118114118118122127127127127118119127126126126124130123122125125126128127127129127127126127124125124125124125124125127125129128130128128128127128128119119999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146148147147147142142141140138136136137139139140138136137136135131130130131132132129130131127129127130131133133125126124130129128128128130130132132132131130129129130129130129128127129129126126126126121123125124125125124123121120119117117117116116116112114115117114113118109106108106113107103103 99101100100 99 99107105104103103103103105103108104105101105104105106106106107104106103102102101100 99 98 98 98 98 98 99 99100101102103104105105105106106106106106105105105104104103103103102102102101101101101100100100 99 99 99 98 98 98 99 99 99100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139143149150149149148149149148147147153152154156157156156158157158159159158159159160159159160159161161159160159157156158157156157156156156155154153154154157160161161164166166167165170173174174173163163163162161158155150149147146144141135138134129130123112122115117114114115112115124116120118121119120120124130131133134135135136137137137138138140141141136136136134133132130128131130129126125124129128126127124124123119121120124124126127128128119120127124125131130124123124124129128127127129127128128126127127127127126126127129130127129131130128129128128129129130119126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999145146146148145143141139137138137136134134135134136135132132133133131132132131131132128129127127126127127131131131124123123129130129130130129134132133131132131131130130130129128128128128128125124125125123124126125125124122122122121120118119117116116116114110112112113111115104106110109110109104107107107 97 95101108110111109111102105 98102106106103104104104105106106105108107102103105104102101101100 99 98 99 99 99 99100101102103104105105105106106106106106106106105105104104103102102102101101101101100100100100100 99 99 99 98 98 99 99 99100100101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135135137140144147145144143145146147149147151151152152153153153154154156157158158158159158159159160159161160160158157156156155157156156156155155154154153151153153158161160162163166166165164170170173172164164164162162163157158155152150150146144138135132130128125125126124125126130123119113114115115114116117119118129130132133135135135135135137137139138136140139138132136137134131131132133132129128126130130125127127126128127122123124125125125124124125121132128126125124131123122121125126131128128127128127128128126126128127126127127130132132131131131129130130131131132130120121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999146145146144145144141139137137138137137140136134136134134133132132132132132131131131131131131128125126123121130130130121131126128130132131130133134132133132132132132132131130128130131128127126124125123123124124123123124123123122122122121120120118117116116113111117112115113111 98108108108112104108100103109108107 99108110109110109107106106102104103104104106106107105106105107104103104104105102102102100100 99 99100100100100101102103104105105106106106107106106106106106105104103103102101101101101100100100100100100100 99 99 99 99 99 99 99100100101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132133134138141143142139135136137140144146147145147147148150150151151152155157156158157159159159160161160161160159159157156156156156154154153157157156155154150152156155156161162163165165165165169170173171160160160156156158156155154151150148146142141138139136128123127124122123129139128129131131114114114115116118116124132135137134137136135136137138139138137139136134130134134134138137136135131129131130132131127128126126131130131131131125125125126125126126127128132126122125124123128127128129129128129126128124127126126125128124124125126131131132131132133133132135132130130122129999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147144145144143142140139138138137140140138136136135134134133133132131131132131131131131131130131127127126131132129131130131130132133135135135135135134136133132132132132131130130130129127126126125124124123127124122123123122121123120123122120119116115115115111109113110111110113112114111106111110108108101109100105 99110111105103108104106109104105106104104108109108108107104104105101101103104104103101100 98100100100101101101102103104105105106106106107107107107106106106105104103102101101101101100100100100100100100100 99 99 99 99 99 99100100100101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133132131132133135136135132131129141131136140143142142143144147148154156150157160160160161161159160160159160159159158161160159159158157156155155155156155152154152151157155156159160162166167167167165165172161161160159159155157156152151150150144141140141139140136133132131133123123124134120130127129126127122129127113120126132133130132138137136135136136139139137143134133132134133133134136136134134133132130133132133133128128128133134133133126126126125124125125125126127125124123124129128129128126127127128128132125127128125126130124128129131131133132132133133134133136132131131129130999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999147142143143142141140139138137139139137136135135135135134134133132131131129128131131131130128126127125131131131130130121120128130135135136135135136136136131130129129132131130128127126126126125126126125125124119122123122123120123121118121119123112113111114113114109111109106111109109110111109106101105104100 99110111111110103109109104106110106105103106106109108108110111107103106104100103105107104102101 99 99 99101101102102103104104105106106107107107108107107107106106105104103102101100100100100100100100100100100100 99 99 99 99 99100100100101101102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135138133131131133129126125127129128126122127128142140124124144148151151154153154158159157159159165160160161161160159159158158159158157157156153152152151153154155155153154161162163163162160161162163163163164171164163162162161158156154154151153145141138137141143142138140140137136142136136136132136126130128128126128121128130126127131133133138138136135138139137138137138134135135135134133133135135135135134132132132135135127127128135130131134131130128127125124123123122123123123125124124123128129129127127129125125126128128127125126130130127126132133134133133134134133133136133132131128130999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999143143143144142141142141139139138137134135133134134135134133132128129128129126127128130130131132130130130130129120120122124999999999131136136136132131131130132134132131129129125123124125125125124123122122120121120121122121122120118122120119116115109106106104109105106105107109109110107106103104103101100102110109111109111110106106107105108108107108108107108109109111106106100100104106106105103100100 99 99 99105100102103103104105106106107107107108108108107107107106105104103102100100100100100 99 99 99 99 99100100100100100100100100100101101102102 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138138137136135135131131126124120119122130123118122115999130124117142144146148150151153157155157159160165160159158160160159158158158158155156156152152154152153152154154156155162162162161159157157158159161163166168174167166165165161159155154152154146147140139145139141143142140141141146145144141140137139131138133132132128127133134128129130132132137138138138140140135137138138134135135135137138135131134134134134133132132135132129127129128128128128128127126126121123123124123124124125123124124121129129127126128126127127127125128128127128128129129132133133133133133133134136136134133132130128127999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139144145143143143142141140138139138133135135134134134134134133132130131130128130128127128129132132131130131131131122123121122999999131137137137136131135133131129129128126127124125124124125124123123123124123121122122119121119118120122118118117118114109107105110109100101100110109107105103100101 97 99 98104110111111112111109108105103105108108108108108109110111112111110106106103106107108106105104104 99104104103102108106104105105106107107107107107107107107106106106105103102101100 99 99 99 99 99 99 99 99 99 99100100100100100100101101102103103104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999129129131135135133134133131134131130128123127999126121120132999999999999999140141140144144146151158160159159158160161160158164159157157158158157155154154153153152152151154154154156161162163162161157157157157159162165168170172176166166165164159163161160150146148145140143146142144142140142143145145146142155149138136137136135133131130126127128128130141133140140138134135140134136136134136135135132136138135132131133132130133132132132131133136136135135127127127128125124121122122123122123124120121122121122128123123124124126126127127129128129128128129132134134132134134132132133135137137134134132130128124999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148148146145144143142141139137136135135135134134135133133131132132132132131131131130129130129131131131130130130131131122122133999999130134136135134132129125124125123125124126125125125128126125125125125125120121121119118117116116119118118116114114112116115111110108109110106108106106101102104109105105105110111111111110109108106105106107108108110109109110112106106105105107109107107105107107108107103106108112111108108107108105106107107107107107106106106105105105104103101100 99 99 99 98 98 98 98 98 99 99 99 99100100100100101101102103104105105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141140134131131132132132133131127130129128999999999125124123122999999999999999999144139136144142143147157161160158159160159158160160163163157156156155155154150151150149151154154153155160160161159160158157155156155159163165167175175176175175174172171169165161158147150145142142145147151153153152154154153148149150145142145149141140138138133136130135135137140138139139137136136137141144137134136135134135135138133132132137135130130131131132131130134137137137128127127131129129128125121123123121123121122123124125124122123123124126126126128129129130129129127134134133134134134134132133136137138138137135127126123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138148146144143141140138137137135135135133134134133133131132132132133131130129130129131130133132132131126128129128128129128134999999999138135133131127124124122124124125125124126127129127127126125125125119116122119116116115116118119116113113112108110109108108110110106102104109106107106106106108108105108110110108107108107105106107106107106108110109110107106103106109108109109109108105106106105102107110113113114107105108103105107107106106106106105105105104104103102101100 98 98 98 98 98 97 98 98 98 99 99 99100100100100101102103104105106107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149142145141135129128135136137138133130130126125125123121120120999126999999999999999141139138141142143147152155157158160162160158159163162161162156157155154154151151149148151154155154155158159158156155154154155155153162164167163164172173174174174174173172169159161156146146144145149151154156149149151151152151153155150154147145150150148147140142137137137144142143140139137137137137137145132137136135136135134135134134135135133132134131129130131129134137132132129125133131130126124129128128122120118119121122122121121120121122123125126127128130131130130130130131131131133134135134135136137137137138137135128123122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148145142142139137137138137134133134131133133134134132133132133133133132131130130131131132132130131127128128126128128126131133129999999128131129126123122123126125126126127128127128129127127126124121119120119118118117116116117121117110108112111109109110109111111108107106106104107108108108107105104109109109112111106106105106107106106106108106106108106101101100104104109102 98106108109110109107110110109110109107106109106105104102106106105105105104104104103102101100 99 98 98 97 97 97 97 97 97 98 98 99 99100100100100102103104106107107108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999149142144139140133129133138142149137132128128124123120119116117124128126999999999126133133136140144145148147154156158158159158162166165161160157156159154153153150150151150153153153154157157156151148151149148149153152151157156159157156157157170172173172171169158157159147147146147147156157158160149151152154156154157153151150148153152152153152143142141143141144143140139139138136136136140138138136136135135135134138138136136135138134129129138136134134133132131134128127130129130130129122128127119118122119120120120130121121122123125125127128130131131131130131131132130133129129134135136136137135137137135134129124132999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131139136138138138137137135134134133134133134134134134134134134132132133132131131132131132132132131131128127127129129129131129129130128127132129125123123123122123999125126126124128128127126124123122120119118118116117116117113114112113110103112109108108109111110111110108106104101109107107108108105108111112109107106106108107108109109109110110109113113 98103 99100102106105110 94100109108109111111112108106104107106111105105105102108105105104104103103103102101100 99 98 97 97 97 96 96 96 96 97 98 98 99 99100100100101102104105107108109109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999133137136141141142143133130129128124126121118115116121122120125125118121126128136140143146147144150153155155160157163161159152154154154154156152151151150150150153152151150147152150149146151150151151153153152153153156154154154153154166168169169168166164152147147144148156157158159161151152157157158159158160150150155154153153153154146153147146144145144141140138140136146138139138137140140137136136136137137138138136133136131129136133133130132127128136134132131124125122122121122120130130130123124124122128120120123123124122125126127128129129129130130132128130128129129131135136135135136136136134129124128999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999126127133136136137137138138136135134131132134133134134135135137135132132131132132131131131131132133132131128127126130131130131131131128129132130128124123123122123122124123124125124123127127127124122123120123120120114114117116115115112121 96101102107111104110111114112110110108107105105105108107107108108110110111109108108108109109108108107109110112110109109112109110 96 98 99101102109110110108108110104106104102107105105104104104104105102102102104102102101101101100 99 98 97 96 96 96 96 95 95 96 96 97 98 99 99 99100100101102103105106108108109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132999999999999999999999999999123118115114111111112114114112112116120130135139142142143144145148150150147156156147146147148150150151154155153149148148147150148148146147147152149150149152155156156158157155155153157153151149149159162163164163163161150148143142142156156156158156157166158159154155156154152148153152153152152151151151147145144144142142139139142142141139140138137139139140140138137137137138137133141137136135133132129128128126128126133132132125123123124119123125123130130123123123127125126124125124123124128125126128130130130130130130128129130129131131135134134137138137135133130124119999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152152151150999999999999999999126125127128130135134136136137133134134132133133133133134139133135133133132131131134133132132132133132131131127127128128129129132132132131130130126125123124123122123123125124123124123124124126126122120120118118116118113113112113115112112118101 99112117111110109111112110108109109108105104105105106108108109109109108108109109110109109109109108108109110109107106106105107107107107108109108109107110109107105105104104109108105 98110104103104100102 98 91 98 99100 99 99 98 97 97 96 95 95 95 95 94 94 95 96 96 97 98 99 99100100101102103105106107108109 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999119117116114106104108115112111125120120127133136137136135132137137141143141141142141144149142144145149151152153151150151151147147146146146148148149150151154154159160159156153153150151150149149148153158160161152161158148147147146158157155157161158159167152155156155155153150150150148149147150149149149146144143145144144141142141139139141141142142142140140140141140137141138136137136136135132133130129130128134128125126126133131131124125125123119122128128123121120126126124125126126126128127128126127129131131132132132130131131131134135136138138140139139138135131125114999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137141141145137134133134133126124124131130131130132132133135137132133134132135132133133136136134132131132133134133135135134132133133133132132133133133132127128132132131132131130130127125124125125123123123123123124124124123123121118117122120118116116120115110110110110110112108105106107114113108110112114110111110109106107105106105105107108108108107109109109109109110109109108110109109109106107107105105110111111112113106106107111109107105104103104110111107100 98103103112106104101 98 97 96 98 93 97 97 96 96 95 95 94 94 94 94 93 93 94 95 96 97 98 98 99 99100101102103104105107107108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999128125120114113105104101109121121120120126133138138140136133129127129128135134133134131134145132139143146148150151149147144148142141141140139142144147150151152156160163160157155160161150148148149148150153159160151150158148147149149152153159160163158160156155156157157157156153155150149149146150150149150150150149148147147146144144143142144143145146145144144143142141141137137139138137135134132133129128130128133134127123127127125131132126125120125119122122125124122123123126125125125127127127130130128128130131132132132132132132132136136138140140140140140140137133127115118999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999144139140151149141139133132134133128133131128127128129130133136138135133136135134135135135135135133132131132131137137136135134134133133133133133132129130133134134132132132131132130131126128126124126125124123123123123123125124122121123120119118120117116117114114110109106108110114104105105107110115109110111114110114108108107109108108104106105105109108110110109110109110110110110110110110109109107110112110106108108108109109106106108113107112113106105112111106101100101109104104103103100 99 97 97 96 90 93 95 93 94 94 94 93 93 93 93 92 92 93 94 95 96 97 98 98 99100101102103104105106107108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999132122115110113999999999132123118119126130135136134125121999145145136133137138147142999999129128135138143142144144142139141139141141141138141147150153151153156159162165999999999999157145155154154151148149150150149155150149148149161151157159158159160167156156156158158159157161151150150150149148152152150153154151151151148148149149147146146147147146146145144143138140139137138135137139137132137136136138131135133132133126126126126128132126125124117121124124123122122121125125124123125126128129130130131128130132132133133133133134137138140141141141140140139137134129120120999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999159146144141142149140139148147137140136135133132131129128129135134136132133134134135135133135135132132133131131132132136137135134134133135134133134135133131131131134133133132132131129128127128127126126126125125122124123124125125125121123123120118121118117115115111110109108108113110109109111114113112117113113112112115108109104107109108113112108107107108106106109110110111111110108108109110112110110111111110111107107106107109111112110108106107110112112111112111105 95 94 96107110105103100 98 99100 95 93 93 92 93 94 93 94 92 92 92 92 92 91 91 92 93 94 95 96 97 98 99100100101102103104105106107 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999135125120999999999999130128127130126129133136137135126122999999999999999999999999999999999999128135134137137137139140139143143143142140140143146150151154157162167163163999999999999999146146153153148148147149145148145145147149150150157149158165166166166168161156158160160160159159154153152151150148153150155156156152156155155154149147146146147143144146142141140140140140139139139138137138137136136132129130133133134132129131129128128128132126120120123122122124125124124125124124124124123127131130128126128129130131132133133132137137138140140141141141140134133135126130121999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999151151149144148146140138145135141139139137135134132134133133132134136137135133134134136134136133134135131131129128126132132136135133133133133133131131133133132131131128132132132132132132131127125127127126126126126126124122121123124126126123124123122118116108114116115112109107111112105108116113109114115115116114115112113114113108107106106107112109107106106109108109111111109111110109107109108107111110110108110111111105105106105106108110110109105110109110108111111105106 94 98100104101109105101100 99 98 97 97 96 95 94 93 87 83 94 93 92 92 92 92 91 92 93 94 95 96 97 98 99100100101102103103104105106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999164142133136120999119120132130126122124133138124138126127126144999999999999999999999999999999999999999136136137137137140138137138138139139141143148152155158162168175169168168159999999999999149152153146146147143142146144143145148146145157151153153167167167168168159161159160159156157156155154156154154156155155152152155154153157155150149148149150148148145141140139140139138138140141140140139136134131135137138137128134130132131130130129129130134134122125123122123125125121124124124122122121131131126125127126127129130130132132133136137138140141137141137138136133132132130120118999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999142149152149144148141140136135142140138136135134135135135135136136136137135134137137135136136138138134133131129129128128130132131132132131134132131130129133131131130130129131132131132132130127130128127127126126128128126125123124124126126125125126122122120118116117116114113112114108113109108116114112109113115116116117114113114113110108108104106110111109108109110110111111111112110110109108109103107109109106107106106104103103104105102105103106105105107104104105105106106106105 99 99102102107106102 99100 99 99 98 97 96 93 92 91 95 84 86 92 92 92 92 92 92 93 94 95 96 97 98 98 99100101101102102103104104 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999161145148141120999999999999999122121123134138129124121133117999999999999999999999999999999999999999999999999137139139138138138137138140141143144147153159170173177178177171170167169999999144146148150154146146143142153144143141144141142162156163153155155168168169169158159160161172160161161161157160159158157156153153155153156154152152152152150150148147142140140139139138138139140140139138139140139134132138139135134133130127132131129131132131130135133125125126123126124122128121124123120121122121120123125127126127128129130131132132137139140140137137138136137136139134132120118999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999148149149146147145145141137144140139137135134135137134133134135134135136133135137138137132134137137136135130128130130129131132132131131131130132131130130130128128130130129127130132132132128128128126128130127126128125125126126126124127126127126125123121120123115114116115113112105103115110108114110109109112116115115112112115111113112111103106107109111112110109108110111112112112111109110111108100106103107107107107106106104 99104102102104105105114105105104105106106104102106109106101102103104102102100 99 95 96 95 97 94 92 94 96 95 89 91 91 92 95 92 92 93 93 94 95 96 97 97 98 99100100101101102102102103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138126124122120999999999999140130127126137141130120999999135999999999999999999999999999999999999999999999999140141138139138138138142143146145148154161168174171178173177171170167168999999143143144140143151153152141152151152136140140143148151154153155156167168168169169170164164172173173173174173174173170171170170170158155155155153152154151150146145144138137139140140140137134134136139135133135138133134138139136136132127129131131131131133132131131130125124125123123124123123122118118119121127120121124126127128126128129129130132136137138137137135135139136137138139137134127119999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999138145143146148150146144139138141139138137137136136135132132136137135136136136137137137134135132134136136133130130130129131128134129129131130130131131131131130129128129128127128130129129128127126127128128127127127127126126127125126124130128125124124122122124118118117117115115113114114114113112116116114114116117119117117116116116114111111 97111107111114114111112109111111111112106108108111109106107106106108107107106103104103102104103 98102107105113107109104103105101107 98109107105103 97102103104104103100 93 95 95 93 96 94 95 95 96 93 87 88 94 94 93 93 93 93 94 95 96 96 97 98 99100100100100101101101101 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137130128130132134162999999151151999999999999999999999999999999999999999999999999999142141136135144150147144143145152161165170171171172171171169167165160168999149143143138141142140151150138138150135139155156145148161163153155167167168169169170164163172172173173173173174174173173172172173158156157157156156153150149149145142140140140139140140136131134136132134132131126134135136137132131134123129132132132131132132132132131127125125126123123125130130119118119122127126122122125125126128127128129131133133132134136135135136137138139140139140137127137136999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137139141145146149150144135138134138138137136135134135132136136134135136136136137137137137132131132135136137131128135136131130127127127131131131129131132127129128124126128129126127126128128126127126125128125129128127127128129129128129129133125122123121119121115115117114114114112112111114114114113116114115116117115116118118117116113111106112114112113114113112115113114113115114109108106109109109108107108108107106 99100104103102102100101100 99110114105104104103102102107108103105107105103104105103105109105104100 97 95 98 99102103102 84 85 90 95 99102 93 80 96 94 95 95 96 97 98 99100100100100100100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999130130133133134131127131999999999151151999999999999999999999999999999999999999999999999999999999149135134147154150139139151159167169172171171170169167164164161160999999999140141144147149139150149138138149152153155156157147162164154155157157167168169170164162164165173173174173174174174174165162174162160171170155154154155154152146142139139140139139139146140141142140133130129136134134134131130130128122130131131130130130131132132132131126127129126127125131131128127122125123122121123123125125125127127129130131132134133136136139135135137139137140138135131145134999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139145144143147142141144134136134138138138137134135136136136137137138136138139139139138134134135136133133136136136135140129130126125133130131127123129127128125126127124125122122122123116126126126127126125125129128127129128127126127131128125124123122121120120117117114114116115115112113115116114116117115119118117118120116118117114108102106111112115116116112112115115116112112111110106111114110106115108107108107106100 97101106107107100101102105106107108104103 97107108103102105107107108107100 97103111108106101102100 99100 96 96 98101 86 94 95101101100 98 91 91 96102 95 96 97 98 99100100100100100100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999131130130129129129130999999999999151152999999999999999999999999999999999999999999999999999999999999999999138147149153133136149164168167168168172173168170172172161999999999999148136141145140150149148148147149153154155155156161165166153155155156160160168169170162163164172173174161158174174163163163163161161172170158156156154152151148147144143140139141140145143138141138136138129139129133135131130128130134129129130130130131131131133133132131125126121119119128128125120122122120121123121121121123125126126126129130132133133134135135134134137137138136133132121130131999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140142149146139138137133134135139137136137137137138139139140139138137137138139140140135134135136136136136136136136132135135123124128129128127126126126127125126123125125125124123124124124123125125124122127127125129129129129127127127124122121120124124121116116117117116117117116116116117116117117118116118120119120120117117104103113106110109113114114113113115115114114113110110112100107111108107116121111108100107111102106108107102101101104103107108102 98104104110110104103102102110108109104104105107103112112111 99101101101 90 97 96 81 91 89 98 99 93 94 94 98 96 93 93 97 98 99100101101100100100100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153158116124154167170175171169170999999193185189999999999999999999133138144146147149140148147149152154156157157159163165165153155157157159169163170157158162173173173160159159158162161163162159171161159155155154152150150147146147146144142142144143141130139135134135139134133132132132132135135130130127127129130130132132133133132131131122127118120128124125124122121120121120121123120123125126124126129131131131133134134134134135140137136133131131131127123999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999140147148145141137137135134136139138137138138139138140140140140138138135135136139139140137138136136136136136136136137139135136135136131130129128127126127125124125122122122122122120121123129122121122122117125127128128129129128127127126121123126122123122118118116114114116117117118116118119118118120118119120120121122122121117106106113108112112114115116114114114114115113113112111112103106106108118113113111109108102103104109107107104100100 99 91106101 95 98106108109110105104106106 99 98107102104106105105104103108101100100 99 98 97100 96 95 96 85100 92 94 92 96100 94 94 96 99 99100101101101101100100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165168170169175173177999999999999999999999999999999999999999144136141146147149138147147148151153155155157158160162163152153156156158169161162161159157159172173159160156158159158158160160160158153153153152151148144146147146144142140140143142142135133133134134134130132130131131129126135129128127125125129127130130131132132132131122122128122125125125125122121120120122122123122123124125126125127127127131132133136133133135135135133131131130130126123122999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141143141139138135134135135134134138141139139139140139141139134134135134136138138136137137138139138136136136136137134134133137137132131130129127127124123123122118120118119119119119120123121119119120121123125127127125127129127122118121127124122122122120120115113117117117117118118117120118120119121119118117122124126122122117112113116114114115115116115116115115114114112110110108107111109108115115110109110105103107108109108106104106105103103102 98 99102112113111110106105102 98 99103104105111109106106103101 97 97102 97102 96 95 98 90 88 92 95 94 95 92 92 93 99102 97 99 99102103102101101101101100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187183184176999999999999999999999999999999999999143143137138144146148148147146146149152153154155149150152154155152154155155158169160161162161171171171169169155155165155157157157154153153151154150149145143145144142140136132144138141143138131129133133132131131129126126128133134128124128126128127127129130130131131127132122122125125126126124124121120120120121120121120119119123124125123123125129132133135133133135135134132131130127125124121116999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999141144141138134134134135138136135140140141141139139139137137135136136135137137134135136139140141140138137137137134133133134132129128133134130125125124122121119118118120118117116117118121119119117118119125126125124126127128123125126126127125123121119118118120115116115113115119118119119120120124121118118120119122121122121118115114116116117117118117116116116115116113115113114102108111110106114106113111110108105106107108108108107104104101105101 98109107104109108108111106106 99107112 99106105103102102102108105 99103103104100101102 94 99 99 94 89 96 93 97 94 96100101 99100102103101102102101101100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194189178176999999999999999999999999999999999999999145144138145148149148147146146148152153149147149149153155157152155155154157168169169159159170158157157159158154156154154150151151150154149149146144143143139140139138132134143139138138136135131131135137131132128127125128129131129120120122124126126127129131132131130124122124124126125126125123123123122122123122120121121120122124126124125126127129133132132133133135134133131128123123123123108999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999139139142148143141999139136134133133132134136135135134133135141138138135136135138138138137136136133133134137138139140141139137136133133133132131129131132130128128125123121119118118119118119115115115115116117115116113117122123123125119120121119122125124123121124121119117118111110116116116117120120116118118118119118119120121117122123120121118115117116114115115115115115114114112111115115114115113110111110108108105112111107100105106107108107107106104104102103100104104105105102104107108105111110109105106107103102103106107106105101102100102100102103103103 99 93 96 96 92102101101 97 98 98 99 99 98 98 98103101101100100100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170170999999171188187182179173176999999999999999999999999999999999999144143140146149149147148147145143152152145147146151152154164153150156157156167168169170170169155156158156157157155153151153152150151147147147144143142141138137135134139134139138139139136135131130130129132132128128127126128120120123125122113122124126128129131131131123125124127128127126125123122122122121119121119120121121120120125121122125128130130130132134134136132132129125122120119119126999999999999999999999999999999999999999999999999999999999999999999999999999999999999999137137136137137143147147139137133132129131131130134140135135136141141134136137136134134134138137136135134133133135136137138139141141139136135135134130130131131132131127126125123122120114118117115117117115115115 96102106115119120118120121122117120122121122122122120120122119121120120118112119118119121120120120120122122119118119120116117126122120117116112113112114115115110113110109112112111111115111109111104111109107103100104105104101105 93107107107107106104102101105107101102103 99100103105102104108108105109107105101102105103106104105105105 99101103102105103102 95 90 95 95103105 96 95110110 92 94 98 97 99101100102 98100100 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169169169185185186181177173171999999999999999999999999999999999999999147142147149149147146146147146149140142142145151153154167155150151155156155168168168169169168168157155157157157154153153151149152148148146145144139137136134136133135137137136137139139136132129129129128128127126123124125118120120123118114120125124126124130130123126126131133130128126126126123125122122119122122119120118118121122124120124127130132132133134135135136135128124120119116110127999999999999999999999999999999999999999999999999999999999999999999999141145140999142138138138136136137139145143137134132127130132133131137138134138140140140135137137137138138133138136135134133131133134135136139140141142140137134135136133132131135129128125125125124121120118114115114115116113114115111101113113116114118119121122117117120121121121120120120121120121120121122118119120120120120119118119120122119118115121117115116117117117117111112114114116111110110110110110111111112112102 98106109999999999999999107104100 98100105105106105104103103104102100103101103103100100101106100106106107105104102101102101104104 99103105108101103103 99 98104105 98 97 97 98 91 92100101102100106107 95 96100100100102104 99100 99 99 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168167167166166166166165999999999999999999999999999999999999999999142146150149145146146145145137138141142146149155154168168154154154154155157165155166167166156157155155156154154153153152149148148147146146145141135134132130127126139140140138142139138132132131134129128128125125124122121109119122122126120122127131124130129124126131131131131133131124126127125122121121122122119121117116122122121124124127131132133134134136136135136134129126120115124127123999999999999999999999999999999999999999999999999999999999999999999999999141141143141142140141139140141142138135133127126128131131130132137139138139135134135133138137138136132135135132132132132133133135136138140141143139137135136135133134131125125125124125129125124122121115112111109114117117116115109111110116114115120118116113115115116118119118119120119114121128122121120121123124123121121119122122120120122122120121115116110115116115111112112115114107108108109111115115113114107110108104102103999999999999999106106 99 98103104101103102 97 99103101102104101104104101102100102106108104113112 99100 93101102104105102 99101102101102104100101104100 98 93 98 98 91 99 99 99100 99105102100102105101100106 99 98 94 96 97 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166165164164163163999999999999999999999999999999999999999999999141145150147144145145143143135134137143146156157154165166166166150149150151153164166167157157155155156154154154153150149149145147146147145144142138131133129133131137138141139138142138130131131131131129129125125127125124121122122124127125116127129124132133124131128130132132131131130125125127124120121121122118118121124126120121126127127130130131132135133133132133133132127123115114108116999999999999999999999999999999999999999999999999999999999999999999999141143143140140139141142139140139137135132131131127131136128129131131136136133133132135137138137136134134134134135134133133134134136136138141142140138139138137135135135135134133133132132128126124123121118117112114116115115115113109108113114113115116113113113112113114116115117118117119119120127125123123124127125125122122121126125122124126125123122118112111110109114113113112111113115112109110108109109111109110112112112108101 99101 98102 98 95 98 99105104101100106101 98103 99 95101104 97101 97 99105104105106105108112111102 99 91101104102102 98 99 94 96102107 99 98 98 98 95 93 99100100101 99 99 99101 99 99100 98100101101102104101100 99 99 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165163162162161161999999999999999999999999999999999999999999999136140147146144145145138138130132136141145152155154161162163152152151149149153153154154156156155153153153153153151151149147143144144144145144139136135133133135135136139139139136135128134131133130129130130125126126125123123124123125126113116117125132132133124131130135132132132131129124126124121119119118120118117124125125128129123124127129130130130130131130128129131129122116113113114115999999999999999999999999999999999999999999999999999999999999999999999149147147141137136144140136136136135133130129129133134136129129130136136136136140140140137137136136135132134133132134134135135134135136138137134140139140138138137135136136137136135133133130125124125121119119119116115113112113109111109114113112113113112111112113114115116117119118119124116121123122120121124124124124124123124126123122123123120119120120114116115114113113112112112115114112109107106107109110109109110113114111107103102104105102100 98100103106105100104101 93100 97 96 93 97 95 95100103102104105103106108111109109102104 99105101100100101103103103105101104 97 93 93 92100102102100 95 99 98 99 99102100102103105 97102104102102105101103 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165163162161161160999999999999999999999999999999999999999999999150145149148144145144138136130132134139142147149147152153156150153150154154153151153154154149152153153153153154151150149147147147148147144140139136136134130131129138137136139137137134134130137130129130127129128127125124121119125126123122126116124129131133131132127136134134135134133132124123122121117116119122122121123124127122123127127127128128131127127127123123124122118113116117114113118999999999999999999999999999999999999999999999999999999999999999999146146146141139138141138137137136135133129129132133133135127128129131136136137141140140138138136135135134132131131135136136136135136136133132139140139138135138136137138138138136134133132133131124121119120118118114113114111108110110110110110110112111112113114114112115114116118118122118119120119119120119123123123123123120123122122122120122120119118118116117116113113114112112113114112111108105105107107106108107111111112114113108108109106103101 99101103104104104103105103104101100 96 96 96 97 98101101101101100106106108108109107106105104102101103103103104103106 98 95 95 94 93 93 92 92101 99 97 98 99 97101103102102105 97 96101103103 95104107106 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999168166163158155161159999999999999999999999999999999999999999999139138145151147143142142141131133133135137140145149151152153154156150152152152154154151154155157154153154153152149149148147147144145146143139135135139134134136132132134135135136136137136132130124125125127130131126124124122121123129131122126126128129129132134132132135127126135136136135135133122121120119123122121121119123124119123122126127128126126132131130125123119119116119118116116112111108119999999999999999999999999999999999999999999999999999999999999999145144142144137134134136136136136134132130132132134132131127127127135134136139140141140138137136135135135135136131133133135135134136135131135136137137137136136137136138137135133133130131127125126122121123114116120114111113110109109108111111110110110111111113112112114115116116117117118119116118120121120122123123122121121123120120121121120118117113118118116114114113109111113113112109109108104106105107104107108111111112114115114111110105103101100104104999103103103101101 95 99 98 97 97 95 93 96 86 96 97 98101 99100 97101 98102105106103101110104102102104105101 99 98 97100 94 95 95 96 98 98 98102102101104101100 95 91 98 98100104 99 95 98 98 95 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169164164121162999999999999999999999999999999999999999999135132136145148143140139130128128130133134138140143154155155157148158150152150150154153153153155154153153151151149150149146146144143141137141141135137139138134130130133132130129133133136135134130127125125128128125122125122121121129128131125126127129130129131131132130135125127137136136137136134123120118120123122121127125121113123123125122122123123124123123125121122115123115115111110113116112111114999999999999999999999999999999999999999999999999999999999999999133142139136135133132129129129129129129130133133134133126127129129131130139139139139139136135134135135135135135134131132132131127127130130132133134134136135135136137136136135134130128128127125126125123121118117117117112112110110109106108110110109107110110111111112113112115115117118118118118118120118117122122121120118119119120120117118118118115118118118119115109110106103107111109108109110108108106107105107108110112113114114113111108105103101102100 98103103103103101 98 94 99100 99 95 94 99 91 91 91 95 92 92 90 89 85 86104 94100105110108109107107106 98105101 98104103 96 97 96 97102101103102100100105 99102100 95 92 95 95 94 96 86 91 94 96 93 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171169163166999999999999999999999999999999999999999999131136133141144140136134127128127130133134137136144156155156158148159159161148150151147149154157156153153153150148147147142141141140137136138136134138140140135134136133134131131135134132129135130126125128131126126123125123124121120121119124126125129130130128132135135135138128137137137133136134122118115125124127126125126106115118117125125122113121120125124120120121121120119116115117125120118112110115999999999999999999999999999999999999999999999999999999999999139139136132126125128125124124125125127127133135135132133133134132129129136139139140136136135135135136136135134132131130130128126124133134133132133134135132135135135135135134134133131129126127125123122121120116115115113112110110110108108108108107107110112113111113115116114112122121117117120121123120117121121121120118117118119118118120120116116120121119118116106105112107106108107109110100 98 98107105106108108111111113114114112112108105103 99 99 99 99 99103103101101100103102102101100 98 96 98 95 93 94 80 87 88 89 90 91 93 94 94 96 97102101 98 97101101101100 99103104 83 86105104102104102102101102101 98 99 97 92 92 95102 96 94 93 88 84 92 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169164999999999999999999999999999999999999999999131127134138136128127127126128129130133138140145148154154159160159160161152152152153150150155156154151150150146143141136131134136137138135135133126134135135136135135132132132132134133132136136134128127128129131127119126125123123123124125128127128124130131134133135134130134129135136137134137135127120122129127120127128118119122117113128119117120115123125122124119115124122120105116117118118117112101115999999999999999999999999999999999999999999999999999999129131134132127127126122124120119119119121123125133133130129129133133134132133133136139139137135135136137136136135133133132129128128127127133134132132133134134134134135135134135136135133132128128125125123122121119118118114115115113111110107108108106107108108111112113116116115117117121119117118117121121119116120120121120119117117118118119121117118120119119116117115113114113111110110110109110100108107108106108107106109110112113114114113111107103103103102102102103103100101100105107108103102 95 98 99 96 91 92 83 88 93 93 96 94100 89 87 86 83 93 91 96100 91 95 98 95100 87 86 85 95106107 97 97 96 97 98101103103 96 92 92 93100 97 97 94 90 82 83 87 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177157168999999999999999999999999999999999999999999999131131137137133130123124125127127130132134136143148155155156160151151151151150153154154155153154151151150148143140140135133132128128138136133132133135134132133134131131129136135136138136136135134132130130130132129127127121124125131126127129128126113115124132135135136128130133135134132132132134129130129127125120124127125120121126125128125123121120122123124117125120123123123118117117117116117113100116999999999999999999999999999999999999999999999999999999129130128127125125124123122118116117117118118120127127128124131126129130134137135134137136138136137136136136137136135134133129127128129124131132131131132132134133134134134134134134132129129128127126125125120117120119116114116114115113109107106108109108106108111111115116115114116115117117118120120122121119116118119119119119117116117117117116118117117117117117115114113114109109108109109109110109108106108110109104109109110110112113112112112109108106105104104103103104104104107107108107106104 98 99100 98 94108 87 93 97 95 95 93 96 92 90 84 82 90 89 88 91 90 87100 94 96 91 90 96 96105104 94 91101 92101102101100 93 94 93 87 95 87 85 87 92 83 85 86 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165165160999999999999999999999999999999999999999999132134138137130119116119123124131131132134136139148155156156150150149151151152154153151151146146152147146146141139137135133132128127137136134130132133132131132129129131135134134136136135135133132132130129130129128129125131126130130129126122127109110124128128122131132133129135134134132133134136133133128127125125121130121123124126128126125122128121123123123116128127126125121117117125128126126121108117999999999999999999999999999999999999999999999999999131130126123126125124123122120115114115115116115115118121124124129129128128133134135131137140137137137138137137137137136135134133133129127124130129130130131132132132132132132130131131129128129129130128127125125122121121119119117116113111112106107108110109107108110111115118115118115116120116118118120118116117115114118118118118118116115115117113113111114114112112112112110108104106107109109109110109107106108108107107106109109112112112112111111110107107106104102105104105106103103108107105103104101102100100 96106 96 95 94 94 92 95 95 93 98 89 89 89 89 87 86 87 87 88 93 86 95999 95 83 82 81 81 85 88 89 95 95 95 96 95 94 95 94 93 89 86 92999999 91 86 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167168170170168999999999999999999999999999999999999999999999142133128122114116119123133134128129130134137148146151154148149149150149152151150148148145145145145145144139137135135133134133129133136135136137135137131133128128133134134134132133136135132133131129131130133136129124126127129132136126132133132134126129126127134134135135138137138139136137137129131131127125125115123121121121118118127124125119118118128126126126126124121119121127128117115123123118118999999999999999999999999999999999999999999999999130128129123119126123122122120118115110110110112114114119118121125127129127128132137133132137138137138139139138136137137137136136137136135130129127127129129131130130129126126127128129129129127127128129127128125129126124117115117117114112114113107108108109107104109109109114118116118118119120121117116115115113117114116117118120118115115114114112111110112113112108110110110109106103106108108107108113112107108108106108108109110110111111111109111108106105104105103104104104104107109100105107103105103100 98100 95 93 94 94 94 90 86 84 90 93 96101 93 92 85 89 89 88 86 87 85 88 90 92 82 84 87 86 86 86 85 90 91 92 90 92 90 92 91 86 92 90 88 87 82 79 81 85 87 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175173170168164164164999999999999999999999999999999999999999999999131119117115126116121131123126125126134135138142142149145148148149148146146147148149144144142141142141141138137133133130132130132131137135134133131131128129131129131133134129134136132132129130126129129134134130126126118127126126129130130132130130133135135135134135140141138138137138139138135134131129126118111110117108107118115109120118117116115115123106106113121118119125126124114115116117118119999999999999999999999999999999999999999999999123128130127120121120118123123121117115114111111115118114114118122124125125125129133136133138137138138140140139140139137137138137137137132129128128127129129129127124124124124123125127127129130129130130130129129129129128129122121122120117119116108107108109108107107107109113115118117118123123122120121120115113109115115115118113119114114113111112111109109110110109109108109106104104103105111111112113111113110108105106109112111111111110112109108110107103104104102104102102100100 99105103104105103103102102 97 94 91 90 95 96 93 86 82 83 90 95 97 98 96 91 89 92 90 91 90 89 89 88 87 96 93 93 91 90 91 90 88 87 92 91 89 92 89 89 90 92 87 87 88 90 87 85 84 87 92 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175170170174171167167169170999999999999999999999999999999999999999999140127118115114127132125126126127121128135142141143146149146148149151147145144145147148145144142142139139141135135132134133135136134134136135136134133133133132127134132135136135135138135131130131129131131130133123120119117125124113127127132131139117128131133134134136138138138138130136135136131131129127125122109108119106106120118113119118117115114113 96108108114115117119117119120118116114114107118999999999999999999999999999999999999999999124124126127122122122121119122122120118117116113115118120115120123124126126126128131133134134134136138137137140141141140139138137137137138130129128128129127126124123124125123124123127130130130128130131131129129129129128128125127125122120118117114114109111110107107107109113116116118123124123123123122121120118114111110114117114110110113114114111113108109110109106108110106108105107107109111112110112113112112110114114107110109107110108109108107110108109107106104103101101101101 99 96101105 92103105108108103 92 89 88 87 92 92 92 87 89 89 89 93 96100 95 87 87 86 93 90 90 90 90 88 89 92 94 95 93 92 93 90 90 90 89 91 90 89 94 87 85 86 88 87 90 90 90 91 86 90 93100 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166173174176172171170171172170999999999999999999999999999999999999999141128121120124126120118123126121123124130140141143146149147148151151152145144145146145146146147144143141143141140134126134135136136135135136137135134134133137133133135135137135136137133129131130130131129126127125127127125128126123124134135136136130132130134135134138139139139138124124130128129129129128124123121120108117104118129115106117115113112 94107 92112114116118119120122124123123122123100117999999999999999999999999999999999999131129127126122123123122122121121124119117117122121119119120118119120126126128128128131132134134134136137137137136140140138137133138137136136135127127126125124122123122120123122123125124126129130127129130131131130130130129128129128128129124123121119117116115112112113111110111113117120120122122121122120121121120119117115108112114111111110108111108105109109111110108107108110111112112111110109110112112112111112111110112107110110109108106109108109107108107108106105103105100103104103105105101101103107108109104 95 90 90 89 89 87 94 90 93 93 94 97 90 99 91 93 91 90 88 93 91 90 89 89 86 87 91 93 94 95 96 97 95 92 89 93 91 78 81 81 86 85 90 90 89 86 87 95 96 95 91 92 96 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179171175179184181175175175172174173176999999999999999999999999999999999999999999118119122120122124122121125126128132140141144148147149159152150153151149149144146148151142144146145145137141130138133134136134135135135137136135137139138138136135138138137135133132133130132125128124123127124120114115113126128132130131135140137130131132136134135139137135123123128129126128129127116123121121116116127120121119127114114114103101 93 91111113115119120131130131130130122122104106999999999999999999999999999999132133132131130130130129129127123122121124121121121125124125124120126127128127128128129130131133134134135136137137137136136135138136133133132135134129126126124123122122123122120122122125125126127127128129131132131132131130130130130130132131129129124123121118118115115114114110109118116119120120120121122123119119121117116113112109109110111113112112113111111111109112109109109109109110110109108109108110112112113114114112110112110112110108111110111107107106107107107108106105101101101104105109109108109106100109108103 98 97 93 92 91 90 89 92 94 96 96 97104 93 99 96 91 86 93 96 94 91 90 90 88 87 88 93 95 97 98 98 98 94 99 90 88 90 88 89 87 86 89 96 94 85 84 88 95 92 92 91 90 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172177176173179183178181179178175174172999999999999999999999999999999999999999123106112123123122119123121123124125128132135140149155161162161157155150149152150150144140147140142138135140135136145132134135133135137137139139139143142141140138137140140140138130134132129125125124124125123118118115117124128117130123133134135138138132134136137136138136133132124122129127128131129116125117121125123127129119116117115117114103102112100100115116120133130128131120118119120108107999999999999999999999999999133133132131130129128128128127128124124123126121123123123126126122121126129129129129130130132134135134134135137136136136136135135135138133133132132135131125124123123122122122121123124121123122124126127129131132131132133132132131132132131133131131130127126124120120116116117117115114115116118119117119118119116118121119118118109113112115113113111114112112109104111109109109109109109109108108108108113113111111108115115115114113113113113113112109107113106108109108107107104108109103103104104106110108110110109105108103108 99 98 93 92 91 90 92 93 96 98103107 99 94 97 89101102 99 98 91 97 89 89 92 92 87 94 86 86 99100 99 96 93 91 90 89 87 88 90 97 93 78 77 98 99 99 94 94 93 88 87 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184171174179180176176181185186178177175175172170999999999999999999999999999999999999999108112122128123119121117118119121123128132139143146153161149152149145149152152151141146140143144146144140135131136136130131132133135137138139142144143143145146140141142141141138130128127130127124121124123122123128125124116117121119131130140141137135134131132129133129124126132132133128129128127126124125123124125126128125119121110113101101 96109104102102103116119 97117121118119119120103109107999999999999999999999134133132130128128127127125127126126127126126126124125126126126124127122130130131130131130132132134133131134137134135136136136135134134138137136132132132135129124123122122123122121122123124125127126126127128129132132132133132132132132133133133132132135133127127126121120120120112116115117118119116120116113121116118119127122117112117115112113111112114112113108110110108108109110110109108107109108108112113114114114115116115119116113114110110111108110109111111108107108107105107109108107110110102104104108111111108106107 99102103102 95 95 94 94 97 99100100106104 95102104100 99 99 93 94101100 90 91 93 92 90 92 90100100 97 95 90 91 97 95 95 94 96 98101101 98105103101 95 93 95 85 92 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185179181182184181183180181182179180178176173172999999999999999999999999999999999999999999114119126121116118113115116119122124128133138141145147143143146148146149149147145145139141144146141141136134138135138137137140135138138139142143142143144143138140142142140140136130126125130129116122121123125125120124126129135129132138137139137132131131131129133133130131134135135132131131129127123123123123125123121122122122121115102 94 94108109110101103111124107102125125120121116116112109105999999999999135135133130128127126127125125124124125126127126126128127127128127127128131131127127131131129129130130131129130133135132135135136135134133133133133132133132132131128127123122123121122121120121124125126125126127130130132131130130131132134133134133133132134132131128126120118115118117113114116116116115116119114114122119118119118119114113116111113113110111114113113107105109109110110110108108109108109113114112114115114114115111115116115114115115115114115114111111103110108110107110111111109111108112106109113113115113113111112106106106106100101100 98100100102106106 96 99103103106106 94100103105104104104103104102106104104104106105104 99101101102100 99103107 96100104102102 99 92 96 93 94 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185177176178181180182181184182183182182179175175166999999999999999999999999999999999999999111119123124113117112114112114118122124128133136138139139142145145146148145142143142142143143144139137144139135136137148140141141137139139142141142142142143136138139139138137136133128126127130122122121124124117119120114130127135137138136136136134135127136132132133131132131135133132131130127125122121121121125122121122120121119110 92 99124118106107117105104117121116104105113117115112113108102100999130132133132127123120121124123124125121123126126126127127127127127128127127127129124123123127128129129131135129128131132132130134135140140138138134134133132133132131131130130130129122121122120121122124125124124127129129129130129129130131133133132130132132130129129131128123119119118117117115114116116116118120119119121122123116118119116113117116114116113112114115116116111110111112107110107107108109110111112111111114111110113114114116114115116116113111112112114113112112108111104110111111111111113111112112113113112117115115114113109110108108105104104101102105106105105103103105105108103 97100108103104105105105105105104105 98106109109 95108105101102102103106116113120106104101104105 95 95 98 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175175176175178176180179183184183183184181178177999999999999999999999999999999999999999999104110119121107111115110111113115117121126127129131133135137140142141142141142142141141142142142141140141137136140136138149148148141144149141142141141141140138138138137136134136129131125129129133124123123124119117117112126126126129124133134133133134133134128129129130129130133132131128125124123121120120120118117118117113107111 92100 99124123116117112106103107100112109114115118114109106101 97109119123123122119117115114118120120120123123122126127127127128128127128127127125124125125123122124128132129133130129134132136130130133134140139139139135134138132133133131130131130126126128122121121121121122122123124127128128130129130129132133133134132132131130130129130131126123121119118118117116114116119117118117119117117122122118119118116118115114113116108110114116109112113114107109110110109107107107109110111110109110109112110114115115114114114115116116117117113113112112109109114112113114114115114116113115114119118118116115113111110111112112109107106106107107108105109102103107104104107106108102111110103103104106103102101104108114104106108107110105105105107117122111107105103106110107109112 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178178176176177175177181183180183184185186184182999999999999999999999999999999999999999999999114110116118106109111109112112108113116120122124126129131133137145137137139140143144141139141140140142143140139139139148150149148146150151152142140140140140139137137135134134133131138128130128120130125129123120118116122125128127126126126131133133127128127129128129128129129130133131130126125126122117116117113113116120105111 87 93 96 98122120121122112104109999111106106109111112115109112 97 99110112108106105106107110112113115116117120124124126128128128129128129128128128126129129126124124130132133129131130128131135137131133132133138139138132133132131137131132132131130128125126128129122122121123123124126126126127127127129130132133133131130131131131130130130130129126124120117116112115116114116116116115116117118115120119117119119116117114113116113113114112113109109109108106110110109109106106106113110104109108107108110113114114114113113113114116116118118115113113114111112115108110111113116116117113119117117115115111115114111113112113111110110109110111110111109110108105106100109109111108105111110112113108110115114114107109109109112111111108109107107107107112104104111115111113116117114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179180175177177179182183181182184184186188190192999999999999999999999999999999999999999999999999105114105105112112110111111110112113115117119121124126129131135138136142145144144143141142142142142141139140142142147139147147146141142145144142143140139138138134133131130133129125128126135123122116128128117119120125125124126126127127123128132126127127126126127127128128132129129131128127126123123115117114114114118117114 87 86 94 95120118112114108106108103103105103105113113999999999109109111106101 99100104104105108109110112115123125126128128128128129129130130131128126128134130125126133135133133135133130135138139139142143144135138133133133132133132132132132131130128126128129129125123123124123123125126128127127128130131132130130130131130130131131130129131130129127121119115115115114116112116113116115115117117120119115116116118116114114113113113113115110109102102108108110105112110110110111115116106109112110110112110112111112112113112112112113116113114113113113114115116109107113113117118117115118117116112114115116114114115113114112112114113110108112111108108108110111107108108109109110110110110109106109106107109109110110115116104109109112109110112108109110113114116117119117116115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180179177176177179184180183183182182182183187193999999999999999999999999999999999999999999999999112114120107108109111110111112115114115115117118119124124127134134137143145146146147143144144144141140143139137147141139140146146145146142142141139140139136134131134130128128127123121120128120120119122120119121121120122121125127125128125127130129128129128130129128123129130127118122125121124119118114116114112111112116124108 98 95114114118121113104106107106105102103999999112112999108109106105104100101 99101102104105105108112117124127129130127128127129129127128128128128129136135130135134137131137137138138139139139128129131143130130130132131131133133132133132131130128129130130128125125125125124123124125126127126127129129128128127127129129132132131131131129128127125122118116115116114115115114110114114113116117114120119117115114118116116120112113112110109109108112115115113113113113112111113114114111111110107114113115115114114113114113114113112113113115114114114115115115108116107114111116116118117116115111110116117116116115114114113113116115111112113109110108108111111107109107109110110105101104102103105103105108109110111111111108111106110110107104106108110112115113116116113113113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180176178178178178178178180181182184180180181185184999999999999999999999999999999999999999999999999116115122110109108111111110111115117114115117118119121126129132132137142142143146145145149144145140138139140138138141141145138135135139138138138137137138137135131131128131135135134120124136119112113113117120121121121121119124124126126124121132133133134133130131131125125126126119122121122125121120116117115114108107105114113103105106109115121122120122124118106102999999999112110109109108105106105102102101 99101106107110111115121125127128129125126125128127127130130131127127135137137138138138136135137137138139140132126132141142135129129135135132133132132133131129128129128128128128127125126128126126128127127127126126127129125126126126130130130129129128129129128124123122117116116114114112114114111113111113113115115119120117118115113119119122112114113112113112113115115116113114112112112113114124118117116113107112116116112115116116115113114115115115115115114114114114115115115122117119118119117115113115115113110116116116115113115111115115115114114114113114115116111110110109109107108108109110100103105103104 98109109109110110110111116119112111107106108108108110110112111112111112113114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177177179178179180178178181183184184185183185189999999999999999999999999999999999999999999999999114113123125109108109108108110113114112114116117117119124126128129133135139138143145146142144142142142144139139137136138138137137136136135135135135135134134134131129129133131124123122124124122118119126119120121120119116118122122123122122120129131131132130126130129128122122118113117118117121123125121118121112114116109109104106106108114118121122121120112108 97 98999999121121117115112108106106107105 98 97 99108110111114114117126129127128126124125128130130129129130129126124123127128134134135137136137129132132132133132132135136136135132133133134133133132132131131129129129130131129128126128127128127126126126127127129128125126127126126129129127128126128125128125123122120116115115113112111110114112112110111113113115118116116120121121120120113117116117115115116116116117113114115115115114114112119117119112114115113116106106117116116114114114114114113115115115115115114115115117116117114113112114115116116111111114115115116115114116115116114116113112113113111114113112110112106108108108106102109108108109 97 97110110108108112113113118115116112110108106108107108109110111110110109111112113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172174178174175176180183189189187185186186186189180999999999999999999999999999999999999999999999999116121121112104108108109107112113109113115117118119121122126127131133133138140139143138139139142143144142138137137136136137134132135134131132133133133131131131131132127124130130129129122120121119115116123117117117115115116118118118118118125126125130126125122121119116123110122126119121121119121118124117114111113111107106104104122112116121111104 98 93 94999999999999119120121117113109108107105105106110114118118121121121122127127132133129134128129131127130129130130128123127128132134133134137136137129131132132133133133134133133133133134134133133132131131131131131130130131129130127126127127126126126125126125126126126126126126127125125129126127122122123121124122119116114113112111109108108108106106107108110113116113114115119119119119119122119116115115116116116115116116117117116117116118118121117113114112115116117120117116116121121120122121114115114115115116116115114114115116116112112114115114116112111110114116116116115116116114114113114113111111116117115111113111112107104106111108107109107107106106112111111117116117117117117113112110109108106107108108109110110111112108111111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999175176175173174172178188191192188187187188186190179999999999999999999999999999999999999999999999999119104120118119104104106111110111113117113116119120122123125126129131133135135137140140138140141143142141138137137137136135133130132131130130129129129128127127123124122121122124121120120119118115123122116120112115116119114116114116114120120121120120116117124123110105106117117121126112116114117116117113113104112110110108114106105108107109107999999999999999999999115117118119116112110110109108114115116121127125125124125127127131126126127127126129130128127129131131125126128132128129135133135135128128130131131130131132133133132132132134133132132130131130131130131130130130129127127129129127127125124125125123124125126125125124122122126125124124121121120119121120116114113111110108107106105104106106106108107106109111113114116117117121124123122120117119118117116116115120123123120121120119119118116117116117117115118119119120120121119118114115114112115116116115117109112113115116112112111115116115115114112112114115115116116117117115116110111112113115115116112111113112110112106112110110105112114111112116114114116115115116113112108115111112109107103105106107108109109110112108109110111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176177175174175175183188192189187189189188187187180999999999999999999999999999999999999999999999999999120124129123103104106107110116115114116113117120125125126124128133134138137138137139140140139141141140137138137137138137134133132133132130130129130130130126126123123120121121120119120116113117118116118115123121118116122121114117117120121107110106104115117119120104104118118118136125109113112114112109109105103106119108106107105107104103102109999999999114115115115117118117114112113119119121120121125125127126129129128129131131128127128128128129129128124125126131128125128128133133133133128128127128129129128127127131133130131131132132131131130129130130130130130129130130127125127127126125124123124124123124124123123123121121120120125121122121121120120120121119116115113113112110109105103105105105107107108109112112115113114117123117124123123116119117119116115110117122119116119118117118118119117116116115116116117118111116115114116116114114114114116116113117117117115116115111113115115116115111115114114115114116117117117120116116116114111111111112115116112113111114109112107111105110108112112113117116116114116116116111111109104113111110108108103102107104109107111111111110110111111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999174176179173177182187192187187188190189188186188999999999999999999999999999999999999999999999999999121120119117108106108106110115115116120118117119123126126126130132135137139136135138140138138140137137135138141139138138136132132134131130129130131129128127126124122120123119119119119118115117120124118118123122117117119120120120117116114102104104113114117103102105102116118116134132106107103103105106105102101104105106108102108105101106102106999119117117119120117118117115114114118119121122124128127126127126127127130128129130130129129129130131127129126125128129128127128128134134129128127126128127127127129129130130132129130130130130129129126125129129130130130129128128126126125125123122123122122121121120120120123121120121118119122121120120120120119120120119117114114112111110109105105107107109109109110112111112115115116116117119120122115115115116119118121116115120119118118117117118117119115116115113116117115117116117116116115114115115115116118116116115116113113112115114115115115115114113114115113116117117116116117118115114113111111114113113114112113113115109108107113110112113113115114115116116112113114113114110106113113113111110108106105107103106110111109111118110112113114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999170171173175174180184188190187186189190189187187180999999999999999999999999999999999999999999999999999999106113118111108109109113117121121126122121121119120127130131135136138139140139140139139141141138140130136138140137133135132133133137131134131129124130129127126125121127118127122117116123122128122121129117107110114113127125121118118117115105106114116111110109112116122126113114122109108105112110105107107107108109107109103110108 93104107110113113115117118124120118117113112113116118117117123127124123125124126125127127129128126129129130130130128129130129130129132132136135131130128126127127128128128127128129130130131129129129130130130127125126128130130130130129128126125125124124123122122122118119118118119117119119119116116118121120119120118119119119119117116116114112112111110109107109108110111112112114115117119120120122121121122121121120121119117121122122118118118117116117118117120118118119117116117117118117116116115116115114117116116116118117118117114112111117117116114115114114112111110111114117117118117116114111113112111114113112114115112109112115115113113114114111108108107116114117115114112116116113116114114114113113111110110107108109 95 97109110112109114109114115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171166170170173178182183188188188187188188188188182190999999999999999999999999999999999999999999999999999999999110115116112110107112114121126130125129126124121122131134137139139139141140142143140138140140140138136140140136128129131125127127127127134127129130128123122133125127121128130127125123123127123122120115120120114117118118117120117114112116118114114121111119113115112116118114108103100113113109105101109107106106109109106104106 99102 96100104108118116117118119118113112111113116118119122125126125124125125126127129129129128126128128129129129131131128129130129129135135136133130130129128129128128128128129128129130129129129130129129129128128128129130130130130128127124124123123123123120119119117117116117117116117116115116118118119120116117118120120118117117116114113112112112111110109109113111113113114116117119120122123122121121122124123121122124124123123124121121121119120118119120120120120118118118118118118118119118117117118118117120119119119117115113117116117118114114110113113112112113114112115116114115115114111111113116114115118108114114113114111111115113113110112113113111112114116114114114115115114116115115114113114115113113109109107107 96110111111106110113109112113114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999165167168171178180182187188188184187188187185186187999999999999999999999999999999999999999999999999999999999113112117118109110114116119126129128133131127123124132136138138138138138141139138140142141143143145147145144134130131139136139138132136134129123127123126124125131127124130127134126131131130127120123121123120116122119111111114117117111111118113111111115122109113112113113112103101100102108111 98105107103101102999 99106106103101104109101100 99102109117116116114109109111110113117119123124126123124126129133133134129129124129125122126126123123124122126129130131131130135133131135136135130130128133134134135130130129129129130130129129129129129129130129130129126124123123122122122120119118117116116116116115113115114114114115118118116118118118117117117116116116114112113114112112111109109112112113113114116118119122123123122123121122125123123121122124122123125122120121122118122121122124123123121120119119119116117117120120119118118118122121120117116117115115118117118115114113113113112112114113115116115114113113108114114113117118115117109113115115113114117114113114113113114112114115123105109115115116114115115116116115116114113113111109113111108117107112119111111107113111110114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999166165167171182180181185187189188185187188186184186999999999999999999999999999999999999999999999999999999999999122115121118113120121118119128135136130133133133135137137137140142140138137139140140142145148148147144143139137128135132131131134136129130129128132130125123127129125132128140139125123122125125124121119117122120118119116115118119118118110113112114111110113106109104110109103101104106110107100110112104 99 97 98100104104100100 99104 96 93 95 95103113111111112108107110109112117123125126127127123126130127127127129127125125129122122122122123122123128126129129130130130136136136134129131130132132132130129129127128129129128128128128129128128129128127127123122122122121121121119118115115115115117115116113113113113116114116116115115115116116115117117115114115114113112113114112111110110112112115116118119120121122121121122122122123122123121121120115116117121121122121122121121121122122121121120120118116115109126119119119118118117117117120120116118119115116115116114113113113111112113112113113113115114114114115109116118117118117116114106107112116119118119117115110111114117120116117123115115116115116116112117117117116115114114114114111111109114114114115116110111116115115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999169169179171174185184187192192192192188186187182179999999999999999999999999999999999999999999999999999999999999121120125117118123124124122130131130137130130137138138136138145146143143145145139140144145147144142136133138133133132132136131128126133135130128133129128126125129126132132128133127131128123128126116117116122121122120121118120121121124110109113116117107107104106109110 99 97102106107100 98102 96101101 99103104 93 98103999 94 97 98 97 93 95103101106109110108105105113111108120121125126127125125126122128127129127128128127127128120122121123124127128130128128130130132138139133135130131135133129128128129127128129129129127129128128127127127127128126123122121122120120120119117116115114113113116117113114112112113111113114115114113115115114114115115113113113113113112114114114112110113115115117119120120120122122121122120120122123121120119119121116116113113121118119120121120122122121119120117114114117117123123117115114117117116116116119115113112111112113115115112113113113112115114113113114114114114113113116116115116116118116114115107111111111116115112111113113114115116115110117116115115116116116117113113115116115116116115116115115113111113118118118116110113113112112116116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999167171173174183187189191192193193193191189186181999999999999999999999999999999999999999999999999999999999999999128126126127121122122128127127132138140141138139139140139141146146144147146144142150148144142143144143143136135132130131129130126135133130127127126125125128128133132129130131133129127134128122118116115116120126124121120119120123119123123120108113115110107108109104100101106104104 98102 95101 97 98 98 96 98100 93103999 90 93 94 94 94 93100 97 99102103105105104115119121114114116115125125126126126125119125126125125127119120125116120120121123126128128123125131131131139134135134130130131130128128128129127127127126127127127128128128127128126126123122122121120120119120118115114114115115115115115113111112112112112113112113113113113114113114115113113113113113113113114114114116113113115116117119118120121122122122122121120121121121120120119120118116112113113118118119117119118118123118119114115119116117113115117117116116112115116115114112110107109111113113112111112111112114113114115114114113114114115116118116117117118114113113109114109110111109118113110111108103109109116118119119121120120115117115112115117115117120118116116114116110114115114121116115115114117117110112116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999172172176179181184191193194194194196195193190188187999999999999999999999999999999999999999999999999999999999999999999126129128125125123126126130135139140141142142142142142144149150150150149146145143146144144142137136135134136133136128134130130133135132130132121126127127132132130130130133130124124133139130123124121117119117117116116121116118119121121119118116115116118116121106 99107103107104104101102102 94 97 94 96 98102 99100999 92 92 97 99 95 92 91 92102106108107 96 99117120123124112113115122118123123124125124123124123124124121123123121121116119122124126128132121121126132130131133130130128130129128128127127126125126125125125125125125126127127126124123122120119119120120118116113111114112113113110110110110111110110109112111113112111112115115114114114115115115115115113112111114115114114116117118119119120122122123120121121121120120119119117118115116115110110111110116114117114117118116118115116115115116117117116116116116111112115113114115115114114109110111111111112111111113112111112112114113113113111110116114113114114118113113111113118120112117114114114115110109109109110111115117119120119117122122118120120116120122122121119118120119115115115118118117119121115117119120114116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177176173177177177184191192193193193195196194191190189999999999999999999999999999999999174173170162162166166164999999999129128124125126129122122128129139144146143146145146149150150147148149151150146145143141141140142140141136131141142135135130136138139140137129121125126132132136130130128130134128122128129123128124125126119121120115112119116118119121120119113119118115109108111109101103103 97101102101 94105106 89 92 96 99104 98 94 90 91 95 99100 96 94 92 94102107112113112118113116118120123111111116116122121119121120122122119119123121122122122120115120122118124115128120119126126127131129129129129129129129128127126125125124124124125125124124124124122123123122121120119119119118116113112110110109110109105107109111112112112110111112114114113114115115115115115114114114114113111110110114114116117115121118120120120121121122121122121122121120119119118117118116115108109109114112118119119118118118118119117117117117118116116116115115116115114114113113113113113107108112111110110110111110109111110111113113112112111115116112111118119117115115112120123118112114116116117113109108113114110113112113113118121117118123122121119120123123123123120121119119120117118120120118120121120121123121120117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182177181181183185190191193193190194194194191191192999999999999999999999999999178179175168170168164166170168167166999999130133125127124123120119127135137142147148147145147146144144149150152152150149147145139139140133135134138140132140136132135136136141140133132131128125136136134132133132130128126126132129127113121127123121116113119120121119118121121117113119114112111109108110112112107103 97 97102100 93103100104 97102103999 94 97 93 95 96 96 97 94 98105106111112105115116115117119119119123123124118124119119120122126120119117120123122114117117114118122124124124124129127127130131131129129129127128128128128126125125124124124124124123123122122120120120122121120120119118118116114111111108106109111105106109109110111112110109111112113114114114114114114113112111113113113114113113112113114115113118117119122123122121122122120120120122122124120118118118116116115113115118115115116120120119117119118119118116116117116115115115116116114115114114113112112112111108107110110110111111111110110110111113113113111112115117117115117118115114114115116113123121113110107115116113117114114115113116114110115119120120119118120122120121124122122121122119119118120119118118118118119120119121118118121122 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180178177180186187188189191192189192192192192191190184999999999999999999999999173178174175174174172170170171171170167161150135127126128126122119131131135135139147143144143141143142146149152151149147149149145141139138139143141144142141137136135139135131133134132133132130129131131134134133132129128128130127128128124123128126122119127126122127127124125126118119120118113107111108102113109104103 99 98105102 81 91102103 98104102 93 90 93 94 95 95 93 95 95 96105106109110115115115115112117117118118118117118119116116115116118120120121123124123122122123123122122122123121124124126128129130128129131130127127127127125125125125125124124124124123122118119119117118118119119119118118116114114113110108108111110108107105108108108109110110110113114114113114113113113112112111113113114113112113113113114116114114118119122122122123123124122121120121122122119121118118115110115114116116116116115116114113109116117117116115115115115114114114109109114115114114114113113113104110111111110110111111111112110108109110111106111114115117114115117114114114114117114118120116120117120113116118119114115116115117116115108114116122118118120122123123119120120119120120120119118118118118118118118117118119117117118118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173179183188188188189190192192193193191191189190999999999999999999999999999999177174172174173173174174167166168163159157161122125121126128132130132129129135139138140150151139146143149147153152154147145145145144143138139145144142142143146137138140141139132132134132131132131127133132132135127125121124128121130134130124123124123122120126126123121126133130121117116114109105112101100107110101 99102 86 85 86 91 89 91 89 89103101 94 93 89 91 91 94 96 96 98115108101110114116117117116117117118118119117119120121121117117117119117118122125124124124124124122122122125124127126127127126126126125128128127126126126125124125125124124124124124122117117118112111116115115117117117117116114114112110109108110107106105108109109110110111111111111110111110113111112113113112113112113113112111114112112114112113116118116118121119120120122122124118119117122122118116115116117117114116116116115113112113114113108113113116117117116115115115109110109110110115115114113119105107106109110111110111111111110104108110103104107110112113110111115116116115117110117117115119117123127126108113121119117116115117117117116115117113118119118121121121122121122122120122121119120120118118119119116119119117117118117116118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182177181186187190191190190192192193192192189190999999999999999999999999999999172174172175174174174174173167166166166162161160160999138131134131129138140139145143145143147153142148147144152150150150151144151142140145141142142141144138145142138138139140137134137134137136140136133132129134135132127133123130121117118122120120118120120123121123125123122133132128126122115112115115109103109111101 95 95100 90 93 89 83999 86 87 97101103 93 94 92 90 93 98106108109104101104109116115116123115116129119117118121122111122121120106117118116115124125125125125126126126125126128128127131124124126125125127123126126126123123124124123124123123123120118116117112111110110110114114114115116116114113113109108108108107106108107108108108110110110110110111112109111110111111111112112110112112112111110111110110110111113115117117120119121120120122119116116115116115116118117115115116117118119119119115116113114110110114115116112112115115115115112108110111115117115113116115108109108110110110110110110109103104107106109105107108112111107113115114114111119118117115118119120123128117117114114113117119111115111119115119118118118119119120123123121121122121119119120120120121122120119119119120117119117118116115116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183181182186190189191191192191191192192192191189189999999999999999999999999999999175175176175175173174173171171170167167164164161161148141149137134126133138140140148146147154151150151150150151148144151151149149150150148147146143143141142141144145148143141143138137139139139137134135134134131129130129128128129121121119125118120117112117118122124128128123125125129128119116110121117115104104 97103106104102 89 97103 81 90 87 86 91 94 89 95104101 92100102103109112110103110109112109114112113112111114121122121121116119121114112110117118121124126128125129126125127125127127128128126127127127126126125125124124122121122123121124123122120119118117115115110110110109108113113114114113114113112111108109108107105109109108108109110110108110109110110110109108110110105110110110111112112113112111111111109110111114115116117118119121120114119117114115117117116116110117116116116118118118119118114115110110110112115115112113113113118115115111114111113117120116114112101109109109110110109108109108107105107106107110110108108111112110113111113116119118113108114118121123116121122117117109115118117111112113116114114117116118122118120121121122122121121121122120120119120121121119116119120117118118116118116117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182179183189190190189190190191191191189190190190188999999999999999999999999999175176178176177177177177176173171168167160157162155157148135133122121124122138142146144148150151150152153150151152143152146151146147149143143143143141143141143145142142146146140139141140139143141140137133134127128131132126127127126127122119117117123124122123123124129125130129128127126124114116114111119104 99 98 95103105104 99 91 91 98 85 79 94 87 87 96 93 91 93 94 90106102107109112113109110106115110113114114115115122117122122122118117122112109110117119122122119125123123125127126127126126128130127126124125124124122122123123123122122122122121120120120119118116116116109114115115114113113113114113113113113111109108107105105109109108107107106107108107105108107108109110108103110111111110110111111112112111110110111114116115115117118119120118116121121120117119118118117115115116117117118118116117116117115117110111111110113115112112113112109116117116118112116116117116114113107110110109109109109108109108108104109107108109110105110109107119117117116119118118121119118117116116119115120117120122114116117118119120114115116117115117120120121120122121120121122121120121120121120120120120117118120120120117116115115115 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171183189192192191191191191191192192191189189190189188999999999999999999999999176176176176175176177177176174172168167161163161162155148138136138131128130138136145146147151150151154153154152144140149148149152147152144143141141142140145149147146142141143142143141141144141144141141139136136135130131132132126123127124116120119120120120120123122121122124124123122116115116116115114106109106105 93 96 98 98 94 92 89 86 77 76 84 85 99102 96 94 91101 97 92 98102107110109108109108114107111108110112117120127127120121122122121120114120111120121125119126126127127125126125128129129129127127125122123124122122120120121121121122122121120120120120118115116115115114113113113110110112111110109108110110108106105107105108110111110109108107106105104106110109110108108108108108107112111111111111111112112113116116118116117118118118120122120121121120120118118121114115119117118117115116114115116121116117122118112119120116112111113109110116119119114117119124117116115114105112110110109109107109110110110109109105104106107106111113120122112117118117112118121119117118117117119115114116116115104113116118119114116116113117117119118119119118121122119119121119119119121120119121120120120119122121118117118116116118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183189192192192193193194193193193192191191189193184188187999999999999999999181178178178177174174176176176175173171163162159160160157153153144143136133130136137141147146149152152152152152152150148148142144145149150148145146151146148153140139145142147146147147143145145142141142141139133139137136126133131128128126123119121120122122122122120121122124124121117110118115115120114111108105106102100101102 95 98 90 88 85 83 83 83 81 90 92 98114 99113 96 97 94 94106103102103102107114115109112110113117119116124124121125124126126127123121123127126124127128128128128125125128127128127125124123121121119120118117116120121121122121121119121121120118116116115115113112112112113114112111108107110109110110108109109107106108109109109107106106101104106109110110111107108110108107112110111110112112112114118118118119117119120120120121121119118119116119119118120117119119118119118116117117116120115119122118116118112113119118118112109111118112111112117120124124117116116108112110110110109110107107111110110112112113107110115112111113116112116116119118120120125117119117118119116118117117118116114120122120117118118117115116120117119119119119121120119120121119120121121121121120121119122121120119119119119117117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186191191194193192193194194194194193192187190189189188186184999999999999999999178179179178177176174176174174173171166163162158157159162155151149148148140134136141143149149150150151152152151151151149150145144140149144145149146144145140140141141142141144149148147145148144143143143142142139138133132134133133126126126121121122120121121120120119122120118117112100103117118107117111107104104102106 94 92 91 93 83 93 86 84 84 88 83 92 92 95 88 89 91105 88 97103104 99100101102105100103112110111109124114135120122128128125125125124123124124120126126123126127124128123124124126127128125124124122126120121123122121121117120123123123122121122122120117116115115114113111111111113113110107108110113108110109108110109107107108109103106107108106100100110109106108110109105103109107107109109110111112113114118120122119120121121121122122123122123120121119118120121121120119118119117117117116119116119120119114116121118115118118117118118117119112111113119120122126122124124110113110110110111110108110111110112113112112110112109110113115114115113113117118120120121120117122123121118120120120120119118118120126119118117120118119117119118120119119119119120117120120120119120121121122121122121122122122120119118116117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178183189192194194194194193194194194193192192190188190191186184183180999999999999177180180178177177176175176174168173171165164162159159158157159155151150153147141141144146146148150151152153154154155154153150151146143141149152147150147150141139140140140140142143145147146151144142143146144139139131135133135134135131129129125122121119120118119119117115113108109103103 99111114100112109120114112104 95 91 88 88 96 93 87 84 76 77 83 80 90 83 90 89 88 88 82 86 96104 99 99105 95 99100113111109108117114122119121120119120129126124124125123123126125125127122123121129129127127125127126123126125127123119124123122123121122123121122122121121121122122120117116115113112111109110111112107110107106109111110111110108107106107107106104108103102110110111112108109109110110104102101108109109110110111110110112114116119120121120120119120120122124121118120120124119118121119121119120120119118116116118117117119116117117119119118118118113112117117118114115121120124120123122125116110113112112111111111111110111113112116117112112112113114113116113117111114119119117118120120119116114121120122121121120120122124126124120122118120122121121118119119120118118118119119119119120120120122120122122122124124123122121120120117113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173175184187191194195195194193190190192193191190187187191191191188185183183999999999999178182180179178178178177177176170174169168166166164162163162161160158157157152145143145147148147150153155156159153151152151150149147148149143149151148148143140139140139143143144143145146146143144146139135134138133131132131131132134132127124124121119120120119119122122114113109103101102104101109105110106110109109105 98 90 89 93 90 96 90 89 89 88 88 90 94 96 83 89 97100113 98 89106109111 97 94 92100110108113109112115115118126118123127116126123126126123121124125124120121121121123124127127125123123123122127127126125120122123122121122122122122122121121121121122121118116114114111111110111112111106106108110109109109110110110107106107108108108107109108110110111112109113113111108110110112112110110110107109109110114119117116120122122121121120120124122121118118121119118120121119119118118119118120119117118118115117118121117114114114115118113121123125121120120120121124123122125117116107111114112114112111111110109112113115113112113114113115115112112117113117118113112112115118116118117120119121123123121120120119123123128127125120121119121121118118120120117116117117119118118120120121121122122121123123122122122122120119117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999176173178184188191193193194195194189187188189192190186188188188187185183183183999999999999179181180179177178178177177176176176175174172168166164163158156161159158154151151147146144149150154156157157158156150151150148147151149148142149149148144136140141137137139141142141139145144143144138135134136137137133129128130131129127125125125129126122118116120117113109110108105100102 94 98102103106107111109106102 97 98 95 93 86 82 93 92 91 92 88 90 95 99 96 80 82 94106 98104111107 98116103106104109117118108110113113116121115118121121123121121124125124125125125126121120120122122122126125120121121125123125123122123123122121120120121121122122122121122122123121117115114112112109111110111107111110109108109108109109109110109107107104103103103110110112110109107107113113110111111112112113111111112111107106112119120120119125124123122123121122119120119120119121121120119120119120120118118116116118117120117117117117117117123115117117117123120122122120119122123127124122126120119116114115116115114115111112113111112114116110112112112110112113110118117116113114113112112113115113113118116119119121124120118113115123122128132120120117119119120122121118118116115118116116113116115118120122119121122122123123122122120118119119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999185181185181183186189193194194193194192189188187188188188187184185184182183183182999999999999179180178177177178176177177178178177170173170167167165164163157155153150149151148147145144150153154154156157159154153151151150149147148146143148148146144140142144142144143140141143145147146144146142141141139142141135133130132129126125125128129126120119119120121120112111110105100 99 91 92 96101 90103109106103102 98 98 99 92 93 90 88 93 95 94 84 84 91 97 97 96 92105112104102110108 99111107109104106108122115103111120116118118114118120122123120118119120125124126126123120124120121121120119124122123124118123122122123122123122120119119120121122122122121123123123120116114113113111108112110108111110109108108108107108111110109108108109103103103103109109109107 96105110110109111111112111112113113112113108107110114117120122119124121124124124119118119119121121120119120119119119118118120118118119118119121119118118116115116120121114116118117121113120120119121124124128124119120118118122123120121118115114112111110113115114110108112112116116116117117117117117117117114114115110110112115114114116117118118117113113114120119116119116117119121121121121122119119119115118115115117114117118121119122122122122123123122122121119120118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188189187187189189188189190192195195194193192193190190189188188186185184182183186186999999999999999180179177175175177176177177177177173170169170168169165165166165164155153152154156148150148149157156156157158156156157154151150151146144143138149149148145143144144144143143140141139141139141142139136140139140142140134129128130136128126125122123120119123123121116116114109107105 96 90 89 92 94 94 92 99102102 97 97103 95 92 93 91 89 91 98103 86 77 80 90 94 93 98 94106111111112112 99 96116126123114114106106109101102118118117119120116120122122122118117120120120125119119123124124120121118117119122123117116116121123123122120120118119119120121121122122120120123123119115114113112108108112112109110109110108108111110111110109108107108110103101110108107111108109104105108108109109110111114114114113112112109110115115115117119121121119124123120119117118120122122121121119121120120119118119118118114119117115117118117117116117121122118119119116118120120121120121124123122118124125125123121124121121119119119115111112112114105106112114119120117116116116117116117114114116113117114114116115117117117116119112112117117120125114118122120121119122122120120119118118115116117121118116116119118119119120121124123124122121121122121120119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188190191189192191192192193193195196195195194194192192191190190188189188189186190180999999999999999179180177174174176176175177176176175170169167170168168161166166163164160162158155157152150153157160162161158150151155154156152153148148151148150145149145146146140143142137139140137130132132133136136138138137137134134126131127128127129122122123121123121121118114116112100100 98 93 90 85 86 83 87 90 97 90 88 91 98 93 86 90 91 85 87 92 95 97 95 89 95 95104100101 98100110111108111111112111125112114114106111103105103104104116118118120120121121114119116115116114114118118116116117118118116118116122121120116115116116119119119118118119119121121121122122120121123122117115114112112111110108111110111110109108110109108110112112110109109112110110111109110110109108109109104103108112109108106109111113110110112114114115117116119120120117118118119118119119120121122121120121119119120120121120119118116120118116116115116117117116120115118117119120120121120121121122124126120120123120121122122120123119120119120115111112111113116116117121118120119120114122116115116115112114113114118118111116120117118117117114120121120118112114119115125123117120118119120117118118117119116118117117116115119119121121116122123124124122121122121120119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189191190190191191191192194193196196197196196196194194193193191189191192192193193192999999999999999999180179175173173177176177178177175174170170169169168168165165166166166165164161158157153154157158161160162158158163158154158156154155148153151150149147144142141138143140140134133132133129127128132137135131133133130125121123120121125124122122120120119122118116115114107 92 96100 98 94 86 86 91 88 90 84 81 80101 96 89 86 80 82 83 88 90 94 99 99 94 96 98 93 90100103109 97 98105110114104114114115115113106107104104105107110112119120120121121121112113115117118120119115108115115115115124123123122121121120115118120122120119113114118119119121121122123123124123122120118116114113112112111111109109110112111110109111110111110111110110110112113111108109107107106107104107107108110109110110112110109112112114112115113116119119118118119117117118118119119118120121121120121121122121121120120119122121119120118118118118113114119113114114117121120120119122120120121121124123120122121119120121121121119119119116116111106115113120118121121121117120121119119117121118121115114114114115118118111113121118119122119115122119120115119118117113120113120118118117120123119120120120118116113113118118120120125129127123125124122119123124122121117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188191189188188192193192194195195196197197194197196195195194193193192193192192193192185999999999999999999999177176173174176178176179179176174174170175172171170168168167169169166163160159156157156157159161162160165166163162161159159154150149153152151152152146146146144140135134137135138130132128134129134130130131132127123123122123117119119119120117110118119115112114119109108107101 99102 98109107 96 85 90 75 98 98 89 83 87 91 87 93 89 91 90 89 88 97100 94 98100100 99104110103113117114115109117113112121118106107108108119119114118120120116121115114108118114115118114121121121121122123122115123122121120120121119120122119119114114119117120121122122123124124123122123118115112112112112113111111111109110114113112112111111111110111111107108114114112106109112112113113116118116114112114114115111113113114114113115116114123116116117116116117118118119119121122122119122122123122123121121121123121121120122122121120118115115114115115115116117119120119123117119121123124122123122121121121120121120117115115116116116118117117113114116118118122121121119118119120120119116115118114116111112109114117123125125124120121123124123121123116115115120119117122120114122120123118115117115112113114119120120122125128119118121121121122124125120116 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189190186189190194195194196196196196197197197198198196195194194193193193193193193193192999999999999999999999999173172176179181176175176175173172174175174173174170171171170170170166165161161161160161162162164163160160163163162163161159157157155153152155153151150147139134136134141141134134134134137131133129126130128130127125122126119116119118120117117118114112113113112110106108104102101 99103101101 93 90 87 90 94 88 85 89 93 94 97 97 96 96 97101 99105100 97101109111109107109104111106121119117121118118115111117117118118115116119120121120120120120116108110108117117121121120115116116122121123123113121121122121120119119120115114119118120121122123124124123123124123117115113111111113113112112113112112114112112112111111110109106107110114115110107109110103108107112115117119114114113112113111112114115116116116117119122116114115115116117118118118121121121120120121123123122122122122123123121122121122123123120117116116117117119117117117117119121121118118121121124124123123121121120120120120114112118118117115114111114113113115118115116121120120120117118118119121121114116116117117113115117119124128119122122123126128127125125125125123123123121118117124119121122120120116119116117116115118119123125121119121120120122121121120119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187186183183186193194194197196196197198200199200200200198197197196195194193193195195194192999999999999999999999999999174173175174168164169172174175174173174174174173172171170168166167165163163163161162161163162161162161162162164161161161159156157152154156154154151142139137138140140143136133134136136137136134133130128132128129127125119111112115115110111116114111 99105103100104106106100103104103 99 97999 96 89 88 91 94 96 94 95 94100100 98 98 98104112104102105106108111114113110118109118118122114116121118120119120118120120118118120121116117115112114112112112113111116120119119115114115120121121121121122121120120116120119122120114119119121122123123125124123120122119116116114115113113114113115115114113113113111111110109108106111110109110111111115112110102103106108111116117109111115112113114117116118117113115116120115115115116112117116117118121122119119121121122123123123123122122123122123122121122122121120119117117118117117118117117116118121117116119121121123123124123121120121125120121120110120115117118118114114113114112110113118120121120120115116119118119121118119118129122120122122123124124121121124124126126125123126122125124127128118121121130121119122124123120116117117116112118121123120119115115115119116120119118120 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186188185189185190195191195195198197197198200201202200200199198197197196195194195195196194192999999999999999999999999999999173173173166159158164174177176176169175175174173173173169169169168167163164166164164161161161161161162164159162159160160160160160154154157153149143138139140138136136133137131133139139138136133134135133136127123118112107106109111106112114115108106 97 94 92 95105102105107102 96 97 99107102101 97 91 97 99 99 98 95101103101102105107105105104104110114116118117115112113118114115115117118117120119119120121120116122117117118118110113114113113112113112112119119118119118118118115119118119119120120121117119121120118113120120121121121123124122122120119119117117117115108110115117115116115114110110112114114112112112115115116115115116116116108107113111109110115114112116114116115117116116117114113113114116115112112112114115114113118119119119121121121121123125124124123123124122123123122121120120119118118117116119116115115117115118119115117119120122122121122123123121122124122127122116120120117120119115117117112111109118116112119119121115114122122121123122119119129114116125125126125126121119126126126126125127126126121124126129122122122122126125130124123122124117122119120121121121120118120116118114118116116119119 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189188188188188192193196198197198199200199199200201202203202199199200199196197196196194194195194191999999999999999999999999999999174166161157158160164175175173173172173174171170172171170170167165163165163168167166166162163162163164159159161161160157158156160160157156148141136135134139135134134135134135140137136136129132133137135132119116111108109112112113113111114109105 97 98 95 98102 98104107104104 98 98104102100102 94101 99102101101105109105104104104105107109109117113115123121116120119122116122125121117117119114120120121121114118116115116116111112114112112108109113117118118116117118114108112113118116120119113117114121121119118118120119119120121118121124121121119118118118116117116115116116116116114112109114116115113113113113111111113116114118116114113114114116118114116117113115114111110111113114110111113114115112113114113113116116115117119120120117122120121123123124124125123123122122122122121121121120120119117118117118115115116118115119117118118119121122122118122120119120114122124121119121120120108109115119113113112112105105110117117118113115112120121120124122121120112115116126125124117125124115115129128127145143128126131128129130126126122125128127126125124124120129121115117117114113114123122121121121119117118114118 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999191191186186186190194195197197196198199200201201200200201202202202201200199198198199197197195193194193188999999999999999999999999999999168163159162163160167175176167172170168169170172171170170168168166166165165164165164162162162162163163160163163161159154155156158161158155149146140143142141138137133136131133126124125124131129135138136134121122117112114114111110111115113104104108106104103107104110108101999101104107102102109103107107109109107105108109105102103104108109102104113116125126119125122121120114123124120121119112114115114113114108109109119119109110110109119118113117117116117117117117116112112119117117118115115115118119119118118118119118118120122123120122121122119120118118119119118116117116115116117116116119116115114114113112114115115117115114116114113115115115112117117117114114110110109108112112111110112113113111112113111113114115114119119121120121118119121122122123123125123121122121122120122121121120120117115118118115113115114115118118117113117116119123122121119119117115115112116115121119121120107112117121112116116114114108109114110119118121120120122123123123115122125122124141139129128132136131128124139145135118118115130128128127119124130126129126126121130127127120127120119115115110108116121116117119119119117107113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999190191191192190190194196194195196199201200201202203203201203201201202202200201200200200199198194191191193999999999999999999999999999999999171168166160160158168176175173171170169170170167170170170169168167167168167166164164163161161161161162163162162160160161156157160161160157150143142141141145138134142141136132125126126133134129129131134131120125118115117117116112107107112 99 97112112102103108 99106108999104112107107105109111111113115115112109103102100 98105110102109106109113115124125124111125123122129114120119116115121119120115116117114114115115116108108110114114108118118117116113116116109115115116113113117118116116118117115117118117118120119121119120121122122121122122121119118119119119119117116114115116118115114115116115115115115110115115116117117117117114114115114113111114114114113112110109110110110112111111113113111112114113115112111113118119119120118119117120121122122121121121121122122122121122122120118121117116117117120116115114114116117115116114113116117121125122121119118122116118119118122121121122120116115114118118118109110109113108116120121112123123124126126117124124123125132134130132141135132135131130129122121122124133136123130128119128124118117133128131133133128118122125112115113122122121119115117116116116115115113 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189192196193191194195191197196199202200202203204204205205204202202202202201201201201200199198196194191190999999999999999999999999999999999999169169163160161169176172172171170166160169169167167167167166165165166164165164162162161162161160161160160161159161159156160162161160158152146140141143147144136136147142129125125132136135133136137132129123122123124125125115110101107115108 98 92 97 97102111105107103102109115114111111115116113119121120115112108102106106116109107113105108112111116117118120125124120122117119119119121119122119120120117118117117121113110112111113113113116116115114113113114115115116116115115117114114115116116117119119120118119119119120122123121121123124123124123122122121120118118118116116118113117116115116115113113112116115115118117117118118119116115115113111111114114114112112113112113114112112112110110111110110108110110118116117117118117118118119120121120122121122121122122122124121124123123122120119120120118117116115113113114114117114114118119120119121121119118119116115114116117120121120122121118116113121119115109107107111117120121122121123135136126127124127127125130133134137139140134126124128127129134138131131132131129136139123127130136136135144135137130129128127129125122123120127127125126118117110115112114111 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188192194197197196196198198200202203204204204206205205204205206204203202201201201201201200199197195193194999999999999999999999999999999999999999168999999161164165172173173171164163167166165170167165166166166164164162162162162161160160161161161159160159159160156161160160162160159155150143141143141142141131132142142144132135136141139138139133126124117121118121110112113 93104107109103 95 92 97102 97113109 99100113114112111114119119120122129126120111114105108119112105108109108109111108112113117121120128125122120120118116117117118117117117118120119121118113108110110114113107111113113111111110108109110116117115112117118115116117117116120121118119123120120122123123123123124124124127126125123123122122120119118117117114115114114113113109113115117118116116118117118117119116112114116111112111114112112113110111111113110111111111111110114108108111115114117116116118119119118119121120121121121122121123124123123122124121121120121120120119116115114112111112111116117119118118117119118118119119116113112110113120121120118118119117120119118119119117115115108110120123123123123133127135126125128127124124131132134140139141124123132117121130131133135133136136128133136126126143145146138139147142135133135130128119123123126126124124120119118117116113109108 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187190193199199199199198202206203205204204206205204205204203204204203202202202202202202201196195197195193999999999999999999192195191999999999999999999999158163167173174174172170169172166162167167166166165164163161161160158159157158158158157159158157156156159156157158158159161162157151144147144143140140140133143146141141140141143137135137127121119120123125122116111113104 96 96104 94 96100 98 96 95 97 95101102114114111119121126130129124126127121117115112115114111104106107109107114107111110113117121121117127122120116116115116114114113115116117121121117119117117112110113112111109109116111108107107110111115118118117117116117115117118123120121120122123125126124123124124125125125126125127126127124123120119117115114113114114113111111112115116117114116118117116116116119116115112114115112112111113113112108109111112112110111111110114114108108108115116115114117118119119118119120121121122124121122123125123122123122121122121123122123115117115115113115116115117117119118119120117117118120119120119115114116116115123122118126121121120124128128127120121121122119124124124135135132133136140125129120120118124126127127126120120132130132133132130132136138138138137140127133143147148138133134128137130129130128118123132132129127125123123116118117117125114 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999189190192196201200200200202203205201202199205205205204203203202201204203202202203204205204201204198196196999999999999999999187186190192192192192193194999999162163166170173165170173173174169171170169167166165164162162160158158158157158157157156155155156157158158158156157154156160162158153149147147147147145149150141144142141142143136133135138129122120127125127122120116110106106102109 95 85 99100102114 96 99103105105113122120125124124128125127128120119119115116113112111111107108107105104114117116118123119119119120124124117119119115113118114117122119114116120113115113110108108112110114116116109110110111112110114118116118118113121121120123121122125124127127125126123125126128127127128127126127127125124120120116116115115112115113111114114114116113117117117116117116117118116112111113113114112112112112117115112111111111109109110111111111111114112112115116117117118118118118120120122123126125121122123124124124124124123123124121125121119118118116115116115116115114116119118119117117119119117117118117115117118118121123124124122124127130130130132122116122129135135135135136132132133135138138140124132129128128134132130113125137146138141147134136148145142138138139140143146135132131131135132128128127127127126132130127127127127127127126130121121118117 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188192197195200202201200200203205205205204203204202204206207204203205205205205207206205204202201202202199198999999999999999999190187187179181187191191191999999999159162162164168167168168170170169168168168162162163161162160158157157157158158157156154152155156155155157155157160158159161159154153149148150151151151154154145144144140138139135132137136118114124118120113113107107110120106 91 93107 92 95 97101104109109103105117128126122120129129128130133127123124126124124121109110108109107112109109115122119118118118124123118116117118119115116122122116118117116115119115116116117113116115114114117117115111110109108116112110113118118120121120119121121124126126126128126126128129128129128128125126128129129125126120125129128125113125123122123115114116116114113115114115116116115120114109112113114113114116115115115114113113114113109109109109110115113112113116114114117118117118118118120122123123123121120122122123124124125124124124123121119122120118118117118114115114113114117115112120119117120119115119120120118119118122123125124127123126126136136135136134127130136136138137133134135133136135135138136136137139131131122133133145134147146145140147147141140140141141142149140135134134141138140136131128127126125128130131123119125125122124128127128122114117125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999191190197198195198200199199201202204204206207205205205204205206205205205207207208209206204198197201202206203199197999999999999194186184185186187186189186182189999999162160165166168168163170168169169169169166163160162161160159158156158157155157156155154149151151152153154156157156156155160159156154154153148151153153155148144143141135138136139133137136129111114111111106107114115133121110100 91 93111 97 99101113106104115117118120123122121135132133126130132123130127125129124114114115115114111116113114119120120118118119116115116117117117117117119116118118120119119119117114118117113114115111111113113114112114107110115112111117109109111121121121122123125126127126127128129128128128131126126129128128130127127127129128131130130127125123123121119118117116117116115117116116115115117114114117118116114117120119119117116115114112113114110112110112115114115114115114114115116116118118118120121121121120122120123122125124123123123124125124123121122120119119119118115116115114112115117122121119118118116115118119117119121122126127127130128128128129134137136139139133132141133134136136137134134136136137137136131137136132132138123141136138145139139146148146140141141139139141142138129128137138138137131130129127126125131130130126125123123126120122129129127127126125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999192193195195195197197200202201203205206208208208208204205205204204206202207209211208203197197197198199204204203202999999999999186183183184183188187183183182189999160159161165167167169169170171169168170169169162160160160159158158157158157157155156155154152149148150150156154155156157158159159157154153151156153153148149149144142136142141139134132136137130116117117108110122119118115110105101101102 99104107105112111109117125124127122121126131130126126128128131130129129128126122120117120112110113117117115115115116118117116115114114114115120122124121118118117118120116115118115115117116118114116117117115113115115116110115119119119120123124123125124127123127125126128129131132130131133132132134133133132131130129130134133132125124123121120117115115116116116116116117117117117114113115117116118117116118119120120118119121119118118116114113113113115115115117117117116117117117116117116118119119120119121119124123125124124125124124124124123122122120118119119119117116116116114116119124122118121121110111115115116120123124127128124130131134135131127131130133134134136136137136138136137137134134139132127134136135130132132134124135141142138139138145146142137138139140145147144141138133134137135133131131130128127128130127127128123119121125119123125129128128126125 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194193193194194195198200200201203203203205205207207207206205204204201206207207211208210205203203200198200206206201201999999999999185179180181181185186180184186186164162163165165166166167167170170167166169168165165161161161159159159157158155156157157155153150148148149149151154154152154156157156157155154151153150152154155152152149146144143144134133129124120120118127999999999108109110108107109106105105108107105107120124125120126123127130127129129129127130130130132127131141123118117113119113109114117114112117115119118121119117117119123117122125120119119120119118118116117116119118117116116118118117122116116114118113109112119120126123125125126127128128128128128129130131132134135133133132135135135135135132132131132129129127125123123122120117115114114113115115115115115113113113115117117115115115118116118120120120121121121120119118118118118116114115114116116117117118117117116114114117120118120119120120123123124123124124124123122124123124120120119119118118116116113115116117115122121116117114112120118115118120119125125128132129129132133130122133132139137137137137137140140139141141139140134133132138135134134134133119125129143140149141146141142140140142142144144146138144145144145146135132133131132129127128130128127127126121124125121120123131128128127129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188190191193193196197201201201200202204204204205209206204204206205203203202206206208208210207200197200200202201206201197999999999188182176178181180180182180181183183170167167166166165163164166166165165165166166164163163159160158156154154157157157156154154151149148149148147152157156156155156158160155155156156153149149150152148147145143139143144134129129128123125999999999101111109104106110108107105102104105105107110120127130130127130132131130129131131129129130135132133129131126139125114114113115120116116110115114115122119118118117119121118120122120121122120119118118117117123121119119119119119119116117119121110112111115115119120121124124125126128130130129128129131131133134135136134134135134134135134134130128126133131129127126124123122119117115114114114114115115115114113113114114113113119117116122121120118119117118119118119120119121118117118116115116118118117118118118119115115119118120119118118119121122124123123123126123124126124124122123120118119122119117115114114114117113115110105114113119120118117116116119130129126127130133133130128123134135140140142142138138138134136139143140142134134138139132139125134138135138130133139134133141141139140140138140142145147145144143145134124124129136136131129126128130129129126126128126124123122126133132129132131 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193191192193192193196200201201202201202203204206205206206205203204203204202203204205205210211210209200200196197203206203194193999180184181177179181181181181179178181179170171169167166166165162166166165163165164162161163162159158160158152155155156155156153153151147148147150150152156157157156157160158155157160159160160159153150151150143145142144141134124126119113999999999105101100106100 98105104 94 95107103109110110118124124127128131133131131131126129131130135133133129132129133128129134122133128118122123119115119119121119115114119118120120117121122121122121122121122122121122123118122121121119118117117119119120120121120121120118117123126126126127130129130131131131131133134136136135135133134134135135134135133127137133132132130128126124116114112117119119120116116115114114118115116114122123119116118126125124125123120119119117120121121120117121118117118118118118116120121121120119122120118119120118118120125125126127128127128127123124124125122123124121120118120120117114115116117114111109107106107118115117111120120121122124128129129128129139134140133141142142142142142141133138139138145139136136137139139141141138135143143141143142137137139138141142140141141144140142145140140139137130129134125124129128130132126127127128126125129130124125123129129133129128129 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999190192192189192194195198200202202201200201202203205206209207207203204202203206206209210209212209209211203199198203201205203199192179178178176176180179182182181180175180177170170167167167164167166167165161164163163162161160160159158161156155155157157156154154155153150148147149152152154154157158159160160157162166164164158155157154152149147144142141128132127122999999999999104103103100106104103 97 97 97100105102110111115118124122126130133132132133136136132132133135133133129129131134134129133133135132128125125126125123120120119117121120119117116120122121120120121123123122123124124125126126126121119125123122124122125116126124121121122121122128127128129130130129132132131129133135136135135135135134134135136135136135130138135133134135134132119116115115122121122123120115115115112121115114115115115115113113122124124123121120119117120118118119118119121119119119119120119119119119121121121123122121121121119121125127126127128128127128124124126125125126123125124123123120121118117120116116107111113110110112118121117116120121125122125128128130127128134140140140142142143143143138140136138142141146146138139143142143145144142141152149141142140137138139138140141146146148138144142143141130136131127129131121133125125130130128129129131130130131131125128126130131132129132134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999186189193193192192195195197199200201201200201203204204205208208208207208207209208207209210210211211212212205203201203202204207202203197188181173173181182181181181178176176178174172166167168166165168164161165163163163163162161159159158154157156156157158156155154157155153152151151153154155155156160159163160160158165164163156153158156148146150140133130124126132999999999124117113104100 98 95 97 96 92 94 97 98104105101107112115123120127131131131131132132133133131133131133133130134135133133135137135136135134133130132128122120123120121117118119120119116122122122122125124124124126127125127126128126126127128126126124124125120123125126125125124125127128128128129129130128127129128133136137135136136131132135137137137135136137136132134136137131122121123118117122121123123121116109108114114114111118115116117119125123124123121121125125125123121121118118120122121121121121120120120119120122122123124122123122124124123125125125125127127127125126127127125125126127123124123124124122122122122120116113108113112117110119121115112117122127127124127128128128131136135140141141140140144144135143138140141139145140138138145142141145141142144153138144142134140139138140141142141136140144145139136133135130127131128130127127126127128128130131133131127130130132130137138134133135133130133 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188188191190192191194196199201202201202203203203204204205207209211213212211211211213213208215214214214214214208204205206206205206208200201199192190170174179180179178177176176176174170167166168166163161160159161160160161161162160157159157155155155158159158157156155158157155154153156156157157157158157159162160160159157157157152154152151147147148144134126125128999999124118111113116111106105 95 85 93 94 94 96 94 96102100111116122126121124128130131132130133132134133133132132132135131133134135136137136135133136134133131135126126128122124118120121122120123123124125123124124125125125131128128128129131131129127128128128123125128128128122128128125127128129128129130130132130130132132135138139139139139138138138139139138137136137137135139140138132130126126126126127129125124117118114114113119119123117117118118122117117118124120117122124123123121122120120122120122121123122120121119119120121122123126122123125126126126130127127126127127127127127127128125126127127125126127126125125123123121120116114115115115113118114122124124125131130127127122123136136138137136140141144138139145144144145140141142146146144144144144142142144145144141142142146144144142140140139143147144142141140138137137135134132124127130130124123122128126127126130131127131132132134135138136136134128133131136 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187188189187188191191192194197199201201202204205204205204205206208211212214212212211212214214214215214216216215214214211209208209211202201207202201198198189166172177176177175174173173171169167165166166165161159159160160160160160160159159160157156154156156157157157157156156159159159153159157158159158159160160161160161156156156154152152154156999150146140132123117116119115111114114113118111120106100 93 89 94100 98105105105106113122116123130123124129130132132131131132131131130133132138135142140139139138139136133128133128131129127128125123121120122123117116125127125125123124123124127129129116124126129130133134127130128129130130129128129125129129129130130129127128128128130131132132134136139141142141142140142139140138140137138138141137137135132135132131131130129130127123123118118113113119119127124119119120121123118116123118116119120122122126124122120120122120120121121120122122121120121122123125126123123126125126128129128128128128129130128127127129127127127125127127127128125122120122120118117109118116119119122124118123123124128129127128126126134134132137134138146146139139143144146145146141139144143142143143142141141143141146142136147145144141139140144148137148139142138138136132134137131128127128132133125123135133132129129129129131129128130131136138133132132131134138135 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999190190191186192196197197195196199199202202201203206206206206207208207209209215213212213214214215215215214212215216212213213212210206210198202999201197194195186176168171173176176176174173172169166164164163163164165161160160159160159160158157157157158157157153157157158157157158159161159158160158160161160157160161161160159155155152153153153999999999999140132120115112116114114114114115113118118121114112 99102107110110114119120122120126126128129130131129130131133131133134131133134135130132136142144139139137134130131132130132134132130130128128127124125126129120123116122127121122125124123123126127127124125130135134129129130130131131131129131131130129131131131131131129128129130130133133135136137141143144145144143142140136137134139139141138139138135136136130134132132131130125126129125120124124125121121121116119120120124119119117117118122125124125127126122120122119122120120120122124122122123124125127125127128129127127131129129128129128129129127130126126128127128127127126127124123127122121120118115118120117120122119123117126126118125128122127129130137137133137135139141139138143141140150145148141142143141142142142141141139142142142143148147148141139141143134139140144140140137137138138138136132123124130131124131131135127127129131127127130132134131131135138137138137136137136135 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188191191190185190195200200202200199203201203202204204205206206206207207208212214214213214214215217216215213213215214999212211211210210213999999999999999192194195185169170175180178178175174172169167164163163165166166165164161159159159159159159159164158158160155157157158156157160160158158161159160159160160159157160158158158999153154151155154999999999145143130121118114116116119117119118118120116110111108107117120116119120119121124123126126129129129133133134134136134134133133132133131128135136137141137137139135137135132132134133133133130126127127128129129129118125126129130130129125126124123123123126128123132133130126130132131132132132132132132130131132133133130130129130130130132130134137138139138140143143144142140141139136138139139139139141139133131131130135135133133132126130131127131131125124121121123122120120120120121120119118122124125125127125127126123120121122119117117120123124126124125126126128128129128127127128128128128127127126129129130125127127128128126126128129128127125125125121119124117115117120124125125126127124125126133124124132133135138134135138140143136138141141149148146147148147140139140142147146145139146144142141145147143137137140141140140143145141140140136137139136135134127127130128132136132130126127132132132131130131130131136134130139141135136142141142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180184189194193188189194197199201202203201204202203203202203206207207209208207207211214215213213215214217218216214214215214212210999209211210999999999999999999999187195192184170174178179178176174172170168166166166168166165163163160159160161162160160161161159160157155156160158156158161161163157161162158159160159156156156155144155999999999999999999147148139144141127124118118121117118119119115116117116115112116124128127127127127128125123125126125127128130133135133136136135134133133132131134134137137137142139136139138135133134133134132132132129129127128127130129130130121124126129129130130125123122123129126129130131128129128129129131132132132132132132134133134131130134130131131131134132134136138139140141140142143143143141141142141141138138140140139139138133133133134132134134135132133133135133133127124124122122121129129127122122120125122115122127125122123126124121120121122119117118120123125125126127130130130130129130128127128129130130128128128130128129127129130129129130130131131131131129127126125121127126126124126127126126126127127126125129124132133129132137140133134136139140144145143142141139139147144143146143142149145143141143143139140141142140137143140143141140141147142141144143140136134134134127129126126124125128131135132132123124124129132130138139130130141141133141140142137 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180180188192193189194192195197198201203205204204203204204205205205205207209210210211212212215215213214216217218218216216216216211214999211211212999999999999999999999999193195191183170174175174175173170168168168166168168167166165165163160161164162161161162162161165157158154160156155156156156159162159160161157158160152152154152999999999999999131139133138137139139134127123123121120118118119117117120121118123122128134130128135135129129128128129131127128129129132131133134133136136138134134133135138137140141140143139138139135133133135134131130129128129130130131131132124130127125123127131130124126126129129128130131131132131132131131130131130133132130132130132132132132130131132131132132129132136138139140138141140141142143143142141141142143143144142142141140139137136137138138140139141134134138132130129126127127125123126126129129128131134129127128124125124122125127127127123121125125128119123125126128128127129133134131128129130129129130131130126129130131129128129131131132132133133134133132132131126126126124130131130127127126126128128129125125128130129131134136134135135133132135136143145146145145145143143148145142149146147149146147145145143141144143140139139142143137142142141144140140141140138132136136135132131137130126124130131137128127126126125127128127140141139138147128136142146149134 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999180183185186192192194194195197199201203205205205206206205204205207204208209210211211211212212215214214215215215217218218217216216213212206210212213206999999999999999999999999193190186168166169171173171169169168168169168168167167167165166164162164163162163163161161163161159156157153153152154154158159159162160158155156153153999999999999999999131128121127123122122120126118118120122120122123124123124124127129124129131132132134131132130130130130130132129129131132131132129129130136134137132132134134136138137136142143139138136132131132134135134132131130130129130131132134130131130127131131131131131131129131133135133131130129131131131131131130130130131129132132129129132132131131131133130131136134139138138141141143142139141141142144144144144148148148146144142143143142141141141141142142144142138137134132129128128127128127126126129128131134134133127128126125126127129133128125124129128129121122128128131130131130131132135132131131132130131129128127130129129130132130132134134134135134134133133132128128127128129127131128128129130131130128132126133127130131128133134136135138133136139141138144145147147147146142140139140149148147148147146146141142138139140141142141142141141142145146144145144143137137137133138135134134133135130131127125125127128131126128126129129130127129134132128131141141149142144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184185189191189192193195198200201201203204205207208209209210211210212211212210210210211210211212214213215215215215216216217217216216215215214213211209212999999999999999999999999999188187186178168168172172169169168165165165168165165170166166164165164164165162162167157160157157158154153150153153152150156158159159157150149149157999999129999123124124126117118115120125120119114121121116122127127127129125128132133131132133136138137137137138135134132131133134133134132135133134134135138134131135131135135137137142139140138142138136131132131135131133133132132133133132132133133134133133132132132133132132134133134133128131134135131130132130130132133131129130131127128128130131131130132132131132132137140137139141142143144141141142141140142147148149150150151149149148148148147147145142141143142141141139138137139135133134134135133131122124133135133133131131129130127126129129122123123125131133129131133130134135133135134136137136133132132133132132129127127132133129131131134132134134134134135134133134135132128129130130128132124130133131131129130132135134127135136138137138137138137136138140142143144147147143145143140143144139141142139140138146145140140134136139138140141142142143142144145145142141137136137138142138136136134132132132132127128130129130129129128128128129131129133134125137143139142142143144 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999182185187188189189192196199199202203202206207206207205205208209210214214213214213212211210211211212213213213213214214213214215215215214215215213210208206211209999999999999999999999999999186190184173171172170171172171168165166164163163166167166166165165165163163167159160165158157157156157156154156150153153156160162154156158999999999138134130127119122117116118120118115109112120125125126124127128126131133132135136137137137139140141140138137137138139138136136136136134136137138137139142139139138137138137141142141141142141138138127130132134133131130129133132131134133132133134134133132132134133133133132131133130130128127134134131131131131131132131132133132132130130129130132136135134133137141138138140138142142142144145144146143143146148149148151150151151151149149149146148147146145144145143145145141143142141139141138134134141132125131132135134132133133132127128129133130136135126126133133132132136142141138137138137137138137136136136134136135132133131129131132132134134134135130135136136137135135137136137137138135132139130135139134130138138133137135136136138139142143140138138139141141141140144145145143141141141139137135135138135138132143142141144145147143139141144142142144146145144144147140138139138135138138141137136133135133133134134133132131132131130133131130133130135134136142138132141146139142 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183184186188191194199199198200200203205205207207207207206211212213215215215214213211213213212211213215214214213212211212211210210217214217216212215215209208211209999999999999999999999999999999186188186179170171168170171171168167165164164165168168168168167166173165167164162160161163164162163165166172164163162160158157156156999999999130133138137128121119123123121119121113111120125126129130127132130133133137137139138138138138140137138138139140138137138138139137137138139138140139141142142141139140138137138139140141140139138139136134132132130130134133134133132132133134133133133134133133134133131131131129131133134131132130132132132132132133133133133132135134134136138139138144142133140139138145140140142140139138145146147148148144147147148148149151151152150151149149150150147146146145145145145146145145145142143143148147142141139132132133133134135137135135129128128130130134135136137131132130132135142137138141136135138136138136137136138138130137137131133135132133131136131134134136137136137140139138139141140140138139139140139135134136142140137135143138137141141142143144140139138139140140139139144145142139141141138143137127135138139142140143143144147147148144146143142139144144146145143143143145138142147137133137137138137136137136137139137137134133135136134135135136132135137138139142139137133137136139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179185185185188192194197197193200201206207206207208207208209211212214215215215214214214214215215214216217214216215213211211209213214216216217216215214214214212212212999999999999999999999999999999999187190189188178172171169170172169168167164165165172171171171167173168168166167171175174174174174174177177176172169162157165160999999130132131133137137132128129128127123111111115117124128130129131133134135139139139140142141139139139138140140140137138137138139140138140140140141142140141141141141140141142140138136139139138139139140138136133131132132132133133133131134134135138136133134134134133133133132132133132134134134131131131132132133135134134133133135138142140142143144145144144141147141148148142146146147144141142143145145147149146149147147147150149151151149149149150150149147146147145144144145146146150145143144144149149147141139136136138139140134135133133131134134136135135136131134136135133134134136134137142134132137138140138135134143139143138135133132133133136136134133135135137139139140141141140142143142139139140138139140140136137136138137135138140139142141143144143140139140142142142139141145147144144142141144145141138139142143144139140142142142146145146146144144142146146148146146144143144144143144138141137137140140140138139140139138139138138138138138139139138142144142139143142142141142139139138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999178184183185185189194193194196198200206208206206207206208208208210214216215215215216217217217212213218219217218217215213216215209215215214216215215213215215210210215210999999999999999999999999999999999999188190190186181175170169170171172171165165171172172177177177172168167172179178177173175176175178175178176170171168168153999999138139139138135140138139136129130124118116114123128131134136134136137140140139140144142141141140139140141141142138138136135137136140140140140144144142140141142142144145144143141136137138140139136139138134136136135132132132132132133133135135135138136136134135135134133134134133132135134134134132131132132132133135134134135138144145144143145144146143144148145143142144149150148149147143146145143144146147148147148149150149149149149149148149146148149149144146149149145144145144147147147146147147150146144142138136135134134140135134134136142138140141136136138137136139138139133133134137136139140139139141141146141140144142142142136133135137135139133136136136136137140139140140141139141141138138137138139140141137135136138139139137139139137141140141144145143141141142143143144146146149148145146144143146145144144144147141140143141143142145149146146145145145145144144146147145144138141143141142144143141142142141142142141141139137140141140140138139141141144145143142142139140142141140140141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183183186184184185190191190190191192200206209210213212215210209211214216218216215215216217217217218217218218218218216214213214218217217215215218214215214215214212213214214999999999999999999999999999999999999999999185188186181177172169171173172169176178176176175178170171170179179179176176176174174174999999174176174161159157999144145139138136141141139135137135131124117114120124128134135137139139143146144143144146147144144143143141141141140143143142137136136136140140141143142140141141141143142143143142142142139137139140137140138138137138137136134133133134132132133137136137138135135131134135134134133134134134134134132132131132132132133137135137141142142144141142144138142146147144145143146147148148148145148148150148147146146148147147149150149150150149149151150148147147146146147144143146145145148145144143146147146144144148145143143141139139139139139137134137138137139140142142142139133133140139140133142141140139142141140141142136141141141141141141145141141140133136135129135136138138139141141141142142140142143143143138140142139139141136137139140143145143141138138141141146145143141142144144144145148148146152152154153154157157151144149143147144145143142142145147147144144146147146146144148148145143143143145145142143141142142141141141141142144143142141141141142140142143140137138139140140141143143142142141139 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999187183186186186185185188191190190190190196202211213213217218217215214214214218216216215214214214214215217216216216217218216213214214219217217216216216210214216216214214214215999999999999999999999999999999999999999999999999999187186182178174173174173176178178178178178177178180185181180172177179179179180999999999999999169166170158153147144135135139140141137135133132127120115120125130136140141141145144145146145146147147147145145143146143144143142143142141140138137138137138142143143141140144142143143144143143144143140138139140137143142141138138137138136135134133132135136138139136139137134134134134135134134134134135134134132132131132133135136138139143143144142140144145145145140138139140145143145148147144147144147150151149147146149145146149151151150150150149152151150148147144144143142142142140142143146147142143145146149146149146147144143142141143141137137136138138139137138141142144144145143141141142146142142142136137143144143143138137135142142140139143143142139141137139133132137136138137140139139139141142143143145145145144143142143141140140139144146147149148145140140141145146145143144145145143146149149151153155154155158157155154151153140141149148145145149149150147147146147145146145144144146148146146147148146146144144145144146142141141141146146147144144144143146144142139138136138141143142142143142143142142141 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999191191188189188188186188191192191192192195197204213216216219219216221217219213218218217215214214214214214215215212213211218213211212218217217216215215212212213213213217216215216999999999999999999999999999999999999999999999999999999999177178184179180185182180178177178178180183186180177999169172177174179999999999999166168167168163151145149145142138140139138138135132131126121122130135140141143146145145146147149148148149149148144145145145143141140140138139141142140136138137136140142142142140143144143143140143143145144140139139138139143144141139141139139138138135134133135135136139138142140134138136138134134134136135136136135135136139140140140140138141142143143143142149144146146148145150143145143146149146145148148147150151151148149149150148153151152152151151151148148146144143143141140141141142142141143145144145145145148150151150149146149148147143141140139141138140140140140143143144145141143143145141143143139138136143141143143145144139144143137142139141143140141144142137136136138138135137141142141143142141138145147147147147144143143145143142142145145147150148149150145142143145146144144145145145146147150151153155151158155156154151154154144142144149151147155154153154154151147148148148143144147146147149148147146146146144145145149150148143144144144146146144142144144144138139137136139142143143141142142143142143146146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999190190190190190188190192194192195195196200204209215216218220219216217219218217214215221219219218219218217217218218217215215217217216216218215216212215215214214216213213216215215215999999999999999999999999999999999999999999999999999999999999999187187190191191190187185182186186190191999999169174176177179999999161163168162168171164156150143142145143143140138138133131129127128125128133139141140138143146146148146145146151146144142140144144139142141138141139135135141141135140141140141141142142143141140142141141144144145143142138138135140138139140139142141141141141138137138139135138139141143145139136137138136137135137137137137137138138140143144144143142142142143144145146149150149148149149150148150151152149147146148147150150150150149149149150153150148150151149147148147146145143143143144145145144141142143141144143147147146147147149150149148147147140143141140141141138148142144146147143141148142141140143144143143143139140137139138145142139143140140135140143140140141141141139138135136139141137132145143144147145143145145146147149148144142144144145146146146148149150150152150147145144144144143141145146146145147151153149152151153150153149147153156152148148154155156155155157156156154157154151151153149149150149150151147145146146147149147149150149147144145146146146147147148144143143141141140142141142143142142140142143148145146 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999191191193193192192192194196204203202206208207208213217218219220220217217222214215211215220221221220221220220220219219218215217217216214211219216215215215214214213215214216216213214216999999999999999999999999999999999999999999999999999999999999999999999999999999190187187180181186188999999176177176177176172999166165160166163163162155158152150144145143143142140138136129129129127130133139138139142142145146146145144148147149151150145146142140144138142134139141141141139141137137141140140140146144142140139140142143143143142144143140139137138141138140144143143141143143143143143143141144146149143143143139136138136135135136136135135136140142145146147146146144144146147148148146146145144145148148149149152155152150148146149152152154152152152150149150152150152154152149147147147147146143144147145146145145141143142143145146148149146146148149148149149145146144144144143144142144146147147148149150142149143142144143143143142141141138141141142140141143149143139143143145145140139138140140136133142140138139141144149150151148150147143144145147146145141143146147147144148152151149147146151148145145145144144143145148148148148150147150149150152152157155154157154155155151152148157157156156156157158158157159156157154154155153152151152151151152151153149146149149148150149149148148150150149148145145144144145144145144144145144148152147139139138 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193190192192193196196197198202205205207209211212213216218219219220219219218218212216213212214216218219219219218218217216215214211211211213213215216214215216215215215214211217217219217213999999999999999999999999999999999999999999999999999999999999999999999999999999999185180179184999999999999180182183181999999170171166166165167158155155158153152149144141142141139138136133132134132133137135138138133143145146144144146148148149150149148147145143142141141140140141141139138138138139140141141142141142141142142142142142142143143146145144141138136143144144145139143146147148152147145145146146151144148147147141139136140138139138137137136137139142146149148146147146143148147147145144143141145148150150153155156155155154152152153151151152150151152152151153153151152154150149150149149148147146147146145146145145145144147149149149147149149149150150146146146145146146144144145145144147149147153151149152143149146144144145142140139141140141141142140144144150150147139147150145145145137139139140140139144142141142145148150151151149146147147140143144143143143143144143147148149146149153157150151147147147144144143144146146147145148150147155155152156159156158157157155154152151151156153152156156158160155157159160160159159157157157158155151150152152147151152150151149149150151151150147151148154154148147146148147150149145146146144144145143142136140 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999191191191193195197200202206208210211212214215216215215218219219220220219219219216216213213215215215217218218218217217215216214215214215214217217216215214215215215215213216217216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999179180180173999181178175175176166169163150146148999999145148145145141139138137134132134136135137140131130132141143144147147148148149150151149150148146145145145145147146142141140140141140140139141141143142140142142143143142142142143146147146145143139139142147143147147143144148153154156156150151150149148145154153152146143143144143143145143142142140141143144148145146147143147148145145145143143142147147153154156157157159157155155154154152154154152155154155156155151156155151148148150150149149149146147144146146145146147148148149149147146148151149148150150147146146145146145146146147147144144147148148149143146147150146144145144142141140143142143144138140141147147146148150150146145145145142146145143142143147142142148148148149149150148146145143143146144146146143143146145148151151149156156148151150147146144142142143145148144148149147151153151153156157157158155155151151151154152153150153159158158156158156159161163160160159159157154154155155151153150153152148149151150151150150151150153153155155155150150155154153150149149148148148151150142147145 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999192192190190193196198202207208210211212213215215215213212215217218219220221220219218220218214212217214218218217217216217217216216215216214214216217215215214214215215216215214212218999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173171170999999179178173173174168167158150145999999138151149143144141140137141137132136131133138139140131136140143143142148147151150150151150150147145143143146147149149148146145143141140141139140141144141142142142143141141140141143146147145144144141141147148146149145141151150152155158158155151151150149151153152148149151151153151150151149147147148146145143146148148148149146146147145144143145148149148150152154154156157159157158157155159160158155156154156157156155155155152151150150149149147148148145144147147147147148149149148146147147147149149148147146147144146145145146148148149145143143150148148150148147149149146144144143144141144144139146147145141143143146149147143146145134145143142144144143143143150151149153150149144145146144143141142143143148149150147145144145145148149154155155153150148149144144140142144143145145147148147149154155155155156158157156155154150155156151152155154157157155155158159162162163164162162160156156156155155152155153151151151152154153152148152153154154156156155155156157159157156152152148150148149147152151151149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999191191192192193195197199202209210209211212211215216216216214213214215218219220221221220217218220214212218220216215215215214216217217218218215216220216218217216217214216217216213216217216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999171168170172170171172169168165164154148148150146148149148142141138137136135138139140140144144143145144145148147147143145147149151151148149151146144141146148149149149149148145145143138140142143144141141143143142139137139138141141141142145144144143142146146145147147149150147150156161158156153152151149150152154155156155156157156151150151152150152151148147145146150150149145145145146144145147149150151154158157155157157155156158155157159158159154154158155154157156155153152151148148149149147148148146146148150148149150149149149149149148148149149148148148147145145146147149149149149146146147150149148148148146144144145144144142141143132135142143144147148144146145148145145147148140146149145145148143149150152155158157157150145144146145144145145143146147150151149150150147145148150153154153152149148153146144143144143145145147149149151150151154155156155157157153154154151153155153152152153157157156158160162163162163164165166161159162160156155151154153151152152152152154152152154155155155156156156153158158159159152150148146147146151152152152150153 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999192195195193195199202205212212211212213214215216216217216215215215215217219221220221221217212216216216218216215213220219213213214215216218218216218217218220219220220218218217215217218216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173170175168168160157157154138139143146146148147147143142141140143138139141141141142145146149147147148150150148141150149151151152150149150147145145148148148149150150149148146142143143143143144141142144144139138137138139141141142144145146146143146145146146145145148149148152159162161157157154153152152153154156155157156154155151151152153153150153152154150146150150151148147146147148148150153153153157157157156157156157154157155157160159156154153158157157156159157152153150151150149150149148151150148149151151150151151149149149149148149149148147149150147148148149148150150148150148146148151148145145148146144145145145145145145141141142143140141141144143145143142145146147148147147146145148150148146152152155158150148147148146148147146143147148148149151149149149148150150150151151150152151150149150151146143143145147147148150151152152151151151153155155155155154152153154155153151151151153156155158159160163162164166168168163161164163161160157158155156152155155155154152152151155156157156156158158156157153153153151149151148151152152153153149150 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193195195195192195196204207209213211214214214215216217216218219215215215215217220220220222222218214214217218216216218217222214214214215217220219218218218218219219217219220220219216216218216218999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999173179173173165158148144142139139142148146147151148146146145140143140142144145142144147151152150150151153151149141147149149151154150150150150149148145149149151150150151148148147145145144145142145146145139138138138139140141141141143145146144148149147147145145145148145146152159162162159159159158157156150155155156155156157154155154154156154154156161160160157157156151153154154150151152153155156157155157156154155160156157157158157157157158153155157160157158154154152153152150152152152147150151152151151151150150150152150147147148149149148148148147146149151149149151152154153151152153154153150148149147144149146147145144145142139142143144136143143144141139151137141145144146146142138150147149150152154155150155151149148149149149149147146144147148149151150151149147150150150151151148149149150150150149149148146148150150149150151154150151152153154155154155154152152152154153153153157154154156155157160164165164166168166167166167169165166164161160160159157158156155155155154154160158156156158160160158155155152154154151151151151153154153152150150 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999194194194198197197197200202205207208210213214215215217217218218218219216217216216217219220220221221220218222221217220219216220218218217215215218219219217219219218219217999999219220220219218216217216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999177181173999152151148147138139145145146150148150148147148143142140142142143145146146146151153155151152153154152144152150152153154153148147148147145148149150151151150151149147148148145146146143145146146145143142142141141142141142144144146145145147147145145145149147146150154160164163162163163163162160155159158157159159157157155154157164166167168166162164167160161159160160165160157156153153154156158159158158162160157156156156157156154158156153154150152149150153152152151150150148149149148148147148150151150151148148149150149148148150148148150151149150152151152153154152152149152155153152156156156155153154149146147147145147142143145146148148141142152150142138141141144147148146148149153150151151157157151152153148151150149149148148148147148149150147148149151150152151151152153152152152155152151151152150150150151150151152152153154154154154155155153155155152150153156156155154154154156157157159159160164165165165170167167170171168168167164162160161162162160158158155156159160158159159160162160159160161157160154153152151154154149153152153149 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223227999999999999999999999999999999999999999999999999999999999999999999999999999999999197196198199201200198197201202204207207208212214215215215217218218218219217218219219219220219219220222219221220221221222219217216217217216215216219219219218218220217219216999999999999216219215214212216999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999152155147146143149145150148146151153146147146146142141140144140139139146146148151151153153155156156155148155155154153154152148147149145140146150150151151150150151147145146146147148144145147146146145145145142144146143143144145147146147148145143146146147149150153159162161162164163166166163165164165165159155163161159158163163169170173174175173173165167168163169169173166167159157156157157158162160162161159155153155157157155151152154153150146150151152155157155153152151148147147146144148149150151151151149148151150148152153151150148150151151151152153153153153152152150153154156154156156155155153153153148148146145142144142142144147146147147147140137140140142145145146148150148152150150155160157156152152150150151150149150150151149147149150150150150151152153152152153152153152153153152153151152151149150152153152153155154155158159160157157156154157157155156156155155155156154155156156157159159156162166169171173169171170171169168165163161163165162162160157158159160162162162163161163162163163164162162163165159153151154150157155153155 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226229999999224228999999999999999999999999999999999999999999999999999999999999999999200198197199200201200198195196201205204206209210212213214215216217218218219220217219220220221220219220221223220222222222222221222223224219220219217219219218222221219221221220219999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999153151145151151147145146147151156153150152152152152146145145141144148144145145145149150153153153156157158157156155153156157156157154152149148147146148152150148150147149149147148148147147144145145148149147147149148147148149147145145152144144149149146145150152154158159159160161161161163163166165165167166166165166166165166165166169171173171174176176174169166170176175171172168170174166165165164163164167167165159156156152156156156155152153154152148153152155156156156154151150149145146146147148150151150149148148148153147150154153153152150149148152151152154153152154151151153150153150153156156156152152152155150151150138139142147141141142148148142143142143141141142142146144145146149149152154153155158157156155153151150152151152151150152153149148149150150151152153154154153154155154153153154153151153154153151152154156157159158158160158162164164161159159161160157158157155156155156153155159157158157157164168169171172170169168171170170166164163162162161161160159160159161162163162162164164165164165165165165163163163161160166161158158154153155 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999229230226225221227227999999999999999999999999999999999999999999999999999999999197199198198198199201203199195194194198202205205208210210212212214216216217218219220218218218220220217219219217218220222224223223224222224223225225219219219219218224223223220221221220220219999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999154153144144148149149151154156159160155156155153155154155150146152150152146147148150151152152156157157157157156156156154149158159157155152152149149146148150148146145145146149147149147146147147147150149152150150151152149149151151153153150146155156155150150153156157159159160161163163163160160164165164169167166160159161170172173173176174173169169170172172173173173175174174168173167173168166166166167168169168167165163158158154157157157157157157154151151149155158156154152144147147145146147148151151149148148150149153150151150152152147149150150150150150149151153154154151152152154154152157163154154157156150152148149147152145145144141143143143148148141142145145145142145146148149148150150152154155157158157156153151151152152152153152152154153152151152152151153154156156156155156156155155154155153153154154153153155157162165165165169170169163167167162161165163159160161160160158155154154155156158159157162164168169173173170172172172169166164163162162163161162162160160161162163162162163163164164165164166164165165165162161160162163160159159154161 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227228999220221225227226999999999999999999999999999999999999999999999999999999197197199199199199203204201200198199198201201205206207211212213213216217217217218218217218218218219219218219219216215221221223220220224223223221223223221220221220225225226226221221222222221999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999183184182999999999999165156155151149147143147151152153157162165158170165162163159155156155150152148148149150151152153153152153154156156155156156156157157158160160158155152152151148147144146148146143147147147150147147146147150152152152154157156156153154153153152155157160157149151155160155156156158158159162162162162159161165163163162163162162170169169174177177179175172173168168171174170173173174171171173169173163170171169174174175168165169168168165160157157159160162161157155151151147153153158149146142145149147148148148150150150150149148148151154153152150151147147147149151150150150151153155154153153152153153159155157156153156157156149149146148148150150146141143145144150152149145144149149148148150152153152153153152153153156157156157157153154154155154155153155154154152152152154153154155155155157157156156156155156155156156154156157158160161168168168167169169173174172172169170170170167165164162159158158157154155158157159161163165167173175175175172172173173168166163163164162161162162159159159161164165164162162163163164165165165165164165163161162163164162168168162162164 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227225225219218218222224221220219999999219999999999999999999999999999999204202201201202200200201203205204205202201201201204205206207208211214214215215217218219219219217218219221221219218220219219216215215219221221223223223223222222222222224224223225226226224223221224223999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999184180183180177173164160158157149147147148146146151153157161164162163163167167164165163163161161157150151150151152152153151151154154155155155154154155157157155160160160159155152152152150146147146151152145146145150148147147148149149151153156158160157160160159157158158157157159161151157155159162160159160161162161162161163163164164168166161162162171171174171174176175176173164166167167171174173173175179172173174170168166168168166168172170169178165168164162163158158159161164162154153149148149151150155149148147148148147147148149150150150150150150148152150150147151150148149147150148149150152155156153156156153156156157155156157155155153156156152148150147149147147146141142145148149149143150152151151152154156155157156155153154154154154158158157161160158157158156156155154155153154154154155155156157157156157158159158158158159157156156157160162166166169169169170169171174173175176176173173173173170167166165160159159157158159160161162165164167171173174176177174175175173170164164164165163160162160160160161161163164165164165164166165165165165165163164166163162164162168164164162163163 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224223224222220219218219216218218217217215218219216209999999999205202202201202202202202202202200203207205204205205204203204208211211212212212214216216217218219220220220219220221220220219221220219220219219218218220218221222223223222223222222223224223226226228226222224999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999188186184182185172169164163159155152151152154157160159161164167168167167165162158163163161162163164158157156153153153154152152154153153151153152154154156154157158159159161159155151152155154153147148148146150147149149152149149151151153154156156156156156157158157156156158157156155156157162161163161163163161162168161168167168167167168169169163162169170170165168169177172174167170169167168171175173172171171171167164168167168167165167166165172176176173171171162158151159161161158161157154150150149151149150152146152151151148148149151151150150151151150148153150151148150147147150148150151151152152154155155156156154156156158157158156153153151152152148152148148147147150148142145145150152151156155157158153155155157156156157157157156157156162161161158159162162158161160158156155156156157157158158160159157157159160160160161161160160159161163165165168169168169171170173173174174174176177179178175175176173170168167164164164164163161162162163166166169173174175175176177176174173170166167167166164161161161160162161162162164164165165165166165166165165165165164167166168168167164163165167166164 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218218999999999223223221221219218218217219218219217217219220219216215212209205207207206205203202202202202203202203206206206203205205207206210211211212213213214214216217218217220221221221221222221222222221221222216218216219219221220224220220224222220219222221223224225225227225999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999193192188186182180178177175172164154154155157157157161163165168170171169169168167164165161160158159159162162160159157154151150150149150154155156153152154155156155159157159160161158156153152153155153153151149147150147148148150149154155154155155155156157156156156156153157158160159164165166168169171173171170171174172170167175177175175175176172174172172171171171173168171178178174170171168170168172174175176172172170165167167169167164163166167168168170172172170170161160161164162157165161159153155149150150149153154155156153153152152152151153153151152153152152152154152151151152152152151151152152153154155155154153155155155160157155154156152152150147150147152149151149152151150149149151152153153154154155156155156156157156158160161160159159159162161162163160163164165166163162161160161161159161161161160160159160159159160161161161161163166167169168169170169168170171172177176176177177178180180180179180177173172169167168168166166163161161164165169171172173175176177178177177175175173171169167169165162162161161162161162163165167167166166166167167166165167165167168166168168168169169171169168169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999221220220223220221222219217218216216216218220220218218219219217214210210211210208205205206204205205204206206207207206206205205207208209211212212211213213214215216216216218220222222223223222222224223223218220220218220222224225224223223223223223224226226227226227226226226999999999999999999210212211999999999999999999999206204205206207999999999999999999999999999999999999999999999999197190192187183182180180181176172167159160160161161161165167170170169171169169169169168158162159160160159159161159156157157152155154154153154155155154152157156158157157162161162161159156155153153155152154154152152149148154152153155158156156155156157156157158162161157162162165169168170173173174177179182179178175178182181183186185186186182183180184180179178176170166175171180178175176176173173171172172176177172170166164166167161167165165168169168167170169171166163160165165162160158155158161153155151153151154151158156158158159158154154151153152153153152152152153155152152154154155154153152154153154154154155154154154156153154155152154149150155149147146151151151153151151151155155152155154151150153154152156158160159160160162162166166162160161160159162166166163165164166165163163162163164163164163162161161161161161161160161161164168171171170169170168168169170173173176179177178181182183182184183180181177177174173171170171170169164163161166171171174174173175175177178176177176177175171167167169166164163162163164163164165165165166165166167166165164165164166166167170171169171174175175175173169 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223222223222222222220218218218218216217219218218218218219218216213211209209211208207206208208207207206206208208208206208207208208209209210212212212213213214216217217218219221222222223223223222221222220223223220219220220223223225224222223224222223225226228226226226226220226999999999999999222220220220999999999999208208207200198204206208208999999999999999999999999999999999999999186189189188186184181185185180174169162164161163163162159169170169171171169170167165169169163158157161160160157158157158158158157157157155157156156155157157158156162161160160160160162156156157157156157155156156157158156156156155158157157158157158157158158158160158162165166168173176175179183184181182181182188186186189190188189193192195195192191192191189186182181178173172179172178177177176176173170168170176175173171167166167166167166165165165166167169167172165165161159163160162161156156161165156158159155160165163159158157159158157157156156155155157155157157155151154154155155154155153154155155154155154154155155154155152153153155155149151152152154148154151151152152152153155156157156156154155155155157157156155159159167162163169167164159161158156161166165163163164166164166167167166163163166166165165164163163164163163164166169169172171170168170169168169171171174177178179182183185184185186186184182181178177176175172174174172170168165163167169172175174176175177177179178179179177177173171170168166164163163163165166166165164165166166165164162163164164165166166168170170169174175174173171173172 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222225224223220221221221220219220218217217218217217217217217216215212210210210210208207207207208209209207208208209208208207208209208208210210211212212212213214214216217217219220221223223222222223221222219220223223223222219220223224225224226224222225226227228228230228228224999999999999999223223222221221222999212210210208205197197202203205206205204999999999999999999999999999999999187184185191186184185181179175169165159162164165166163165169171170171167169168172172166169167161159161161158158159157154158159157157156155156155155157157159165163163163161162162162162161159159161158155156156156156155158161157158156158159158161161162160162160163169168170172175186187185188190191190189185186193191190190191194192193193194194193194193195193186189189185180177178175176178179178177175173172167172173175172172169163166167159166165163165168171171169167162163165163166165158158167155162158159159164167169162161162159158157158159159158159154154155156156156151153154154155153154155156157154154154154153153154154153153152152154151148145147153153154157156154154154155156157155156155154156153156154154154155155158163167168168171168166160161158162164164164163163167165166167168165167166166166169169168168167167168169170170170169169169169168169168169169170172174177182183182185187189187187186185185184184183180179177177172173171172171169169168170174175176177176178179181181182180178177175173171168168165165164165166167165164165164164162163167165169166164164166164166170173173178177177175175176174 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220223219222224223224221221221221220221220219218217217217217217217216215211212211211212211209208207209209210211209209210209209209208208208209208208211213212212211212213215216217216218218219222222221221221220222222222222222223222218224220224224225225222226227228231229229230228228229999999999999999223221217218219221219216211207207203199198203202203204204201199198199999999999999999999999183190187185187184185184183180177170170164164166166169169170170170169170171170171172173173170166164164165162161162159158159159159157155153154156150149160163164166164165166166165163163163163163163165166162157155158155155153155161161161162162161162165165161162166172175176179185190191192195195195196194191187190191190191191191194190188187189189189191191193191191191192191187185181180180179179179178175174170170175178179181179173170169165165167159157171173170168165167167172165165164164163162158160160160158162163164169160159161162160159159158162159158157160161162157158158154153153153154155156157157156156156154153153155152152152154151151151152150154156155157159158157155157154160157156156156155156152153152154155157158162166169168169168171166163160163163164165165162165163164165165165165167166168169170170170169170170170167169169169169170170168169170170171172174176177178181185186188189189189187187186186185185183183181179176175175174172173173170170174175176178180178179180182183184181179178178175172171168165166166166166167166166165164167164165163166169168163162166166167168175176179178177176177176174 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222221222223221223224222221223221220221223223224221219218217218217216215212212211212212212211210209207207209208210209209209209210211210208209209208209214213214213211212213213214215213213213216219219219218221221221222220221222223223222219216221222223222226227228227223228227228999229228230232999999999999999999218218217218218216212211207204203200200201198204204203201200199198196999999999999999183187183184185184184186181182178168169163166166169171169169171172172170171171173172173172170165165163162162159162158157157158157156154154156158154163166166166167166166169170170168170170169169169168169169164162158158159155156159159162165166163163165169170172175176180182187191193196195197192195193191189188190190187186187189190186185184183184184184183184187189190192192193190186184182179175180179178177175176176177182182179177170171168166167159162169170161164164160161164165171168167171163161163159154162159162165171166165166165164161161165162164161164159162161164162157153153151153154154155156156157157156156155153156155156156156157154152153152156156157161162160158159160155157157157157155157157155154153157158161162164170173169170168169165164162162163163161163165164165166165164164165165166168168169169169170169170169169170169168168167167169170171172173175178181181184185189190189188189190188186187186186184184185182180177177175175173172174172172174176177178178179182181182183184182180180178177173170168165166167168167166166166166167165163163163165166167165164167170172174175174176176175175176174171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224224223223223225226227228227226225227227226228229227222219219218218216215213213212214213213212210210208208209209210209209209209210209210210210211212215217215214213212212213213215215215213214215218220220220221220221221218220222221222222220219219219220223225225227227226229228233233228227231230230227999999999999999999999218215214212212210204202201203201201200199200201202198199198198199196999999185187182184188184184184183182180169166168168169170173172171171172171170169170170172172171172170169166163159160159159158158158157158157159161163164165166166166166168166167169172174175176176178177176175173171168166164161162163163167171166169170168170170177176175180184187192194194195192192190190191190188188186186184184183179185183181178181178180183184186187188190192190192188190188182188182185178180180179180184182184183179179175172170170168169167166170163168170166160166167168169170167167163162158160164159160161162162164164165164164165167162161161165160164163163163162158156153154157156156156157156156154154155156156157156156156156156155154154156157157159161164163160160157157159158158159157156156156156157166170162169172173170167168170171162162161163163163164164163163165164165166166166166167167167169169170170171170169170168167167166167169170172174175178181183184186190189189189188189189188187185186184184184183182178176177176175174174172171171175176177178179180181180182183184183182181179178174171168167167167168168166166167169167166166164166165166163163164167169173178180179179178175176177175170 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225226225224226223227228229229229228227228229229231231230229221220218217218215215216216216215213213213212212211210215220218214211210210210211208209212211215218215214211209209214215215214212215217216220220221220220220220220219222220221220222221219217221221221223225226226227228227226228230232233232231231999999999999999999999999214215214215212208205203202202201203201202200203200201198199199195198193189193186186188189184184181174175172170171170171170171171170168169170168168171170171172172172171171168163158160160160158157158158156159163162164165165166166166167168168168172174176178180180180182182174179175172174172172171171175173183174172174171176174176177185192194194196196197194193196194192189190188185185184188187182186179177179178181179181181184185185186187187189190191191193193193190191189187186183181183186178182182180172171170165171170164162162163164166167169170170167171170171166167167166165164162160164164165166167163164164163167162163166165162165165165164164160159156156157158159158158159159157156156155156156157156156155155155155156155158155155158158160162160161161162158158160161162161157155156158161162165170171172171168168168167164162164164163164164165165164165166166165166167167166167167168170169169168169167167167167168168170170174176180183183185187187189187189191188188188188188186185184182183182182181180178176176176174172170172176176176176176179177177181182185183185183180179176173169167167166165167166166168170167167167166167164164165163163167170172175179181181179177177175174172 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226225225227226225227230229230230229230228229228229230231233231225221220219218217217218220220216213214215215216216216219223226226219217214212213210213214215216214214213210212212215216215215215216217218219219220219219218220219221222220220220221221222220217221218222225226226226228231232233234234235234235233999999999999999999999999999999999213211210209208207206206207208207198202198202202203202200200197192190194189191192186183183179177176171171168171171175168167171171170172172172172171173174174172170168162161160159159158160161156157161162163164164165165166167166167168168173173172176179180181183185185183184182178176178177175174176180175176176180181181179186193195197196194199198195196197195196194190188189186184187185187183185184186185181183181184183179187187187186183189187189190194190189190190189189185186177187185185183180177175171170170170166164161162164168166165169167171172172176166169171169162165166165162164165164165167165163163165163165163160166168166165167166164163158158159159159160163162161160159161159158160161160159158158156157157155159155155159159161163163162164164161160161164166165163156157160162164165170174172173172168168168168167167165165165165164165165165165165167167167168166168169168169169169167167166167167167168168169170175180184184184186186187189189189192192189188187188187185183182183182182179178177176176175175174172174176177176175176178179180181184185185184183181179178175172170170169166168170169169169168168168167167167168168168169167172174178183182182182181178178175170 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226227225227227226226228229229228230229228231230231231231231232231226222223222220219219219221222221216216216217217218217219225228227224224223223222221220217216217213213213213213215216217217216215216216217218218220219219219220220222220222221223225224222221220220218222225228229230227230234232233234235236235230999999999999999222224999999999211213214216216215214214212211211211209203203205205205205203202202200197193192192193190183180177179178174176171172173173174174174172173173170173172173173173174172171168165161161162162163163159164159162163163165164165165165164167168167164171168171173177178181177179178189188185185184185182181183181185181180178184186187189191194196197198197196199198197194193195197188187190188190185189188188186186187186181184183185183187179181184181187185186187188188188188188189187187188187184184185185184184181176173173172169165165162162163164165170173170175177171167166170172173174170162162164169169165167169166163165164172172165165167165165165161169169161160161162161162164165165164162163165164165165166168168165163162162160159160158160161161161164165166166164162163161165165166165160159159164166170172175175176176171171171170171170168167168166165166165165166166167169169169167168169169169169168169169168168167168169169171173177181185185186187187189190195190193195194190188188187185183182182183182180177176173175175175174174176177177176176178179180180182183186187187186184181179177175172169169168168168169170169170169168166170168168170169166168171174179182183184184183179176173172 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999225227227229228228227228229228229229231232233234234234234232231232232229226225223221220222224224225224221217217218219223223223226228229228229229227227227225222220218214216215216217217217217218216216216216217219220221220220220221220222222223222222224225223219219220222221224227229230229230228231233235235236235999999999999225224228230231231225223224224221218215214212213211210210207205205206206206207205204203202200199196194195191184179176176175178175174174176175174174172176174174174174176175175175176174173170166165164161162163164163167164164163163167165164165164164165167167170169168171172177177178178183185189189190189189188188186186188188186187188188190195195195196198197195198195201204198196194194194190192189188190189188185187186186186185179183182184185184186182184185187187186186187187187187187186186186186187184186185185184184177177174175168169167163163162161166167175174173173177175169168170173168168171171168167170171172173173172173173176176174169169167168168171171169161164163163163164164166166168168169170169168170170174174173171168168167166165166162163161163162162165165165165165163165165164162164165165165169169168170175174176176176175175175172172170169170170169168168166168167168169171169168168169169169169169168168168169171170171173176178182183186186186188187190190190188188192190189187187186185185184181183183183178178178178176176174175177176179177177178177177179181181186186187187185183181179176175171170169167168170170171170171170171171169166166169167167168171176181183184184183181178173171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999226228228229228227228228227227230232234234232234234234234234234235234231229228226224225229226225223223221220219219223224226226227228227228228226226227228227225221218216217217218218217217218218218219219218218219219222222222221221220223222222221222226226221220220218221225224227228229228226226229231234234236237999999999999228229234236233226223221220221218217216213213214214213211211206206206206207207207207207205204202200198197194186183179177178180178181177177173173173175176174176177178179178178177177175173171167168167162163164164161163163164162163165166167166166165165167168169171169170172176179182185186187188191191191192192193190191192197190190192192194195196193198200202203200197202204207199196197192188189188189190190186187185185184185184183182183182183178186182184183186186186186186187187189188187186187179182185186187187185183178178175174171171166165164164166168169173173179176175174168170168170172174175171172170173175177177178177178179179174174172171171170169166165168164165164165165165167168171172173173173174172172174174174175175172173172171169169170170167164162163164165166164166164165167166165165165165167172172175173179179180181177178177177176176172173173173171174173172172170169170170169170169170170170169168170170170170171171173175178182184185185188190190190191192192191190191190189189188187187187185183183185185181181180179179179178176176177178179178179178180181182182184188186185186182180179177174174171169169168169171170171169169168166167167167169167167170171176181186186187186184179177171 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224227228228230229228227226228231234233234233233234234235233234234234233231231229227226228228225223223221220220220222225226227228227228227226226225226226225223221219218218219219219218219218218219219219219218221221222223224223222222223223222222225223222220220221219221226227229230227229228222225228232235236238238999999234236239238233232999999999220216214218216215215214215214212211207206207208209209206205207206207206204201199195189184182181180178182179178180175175177177177179176177178180180176177176174171169166168170165162163159161163165165165164166166166166165164166168168169169166170173176180183189189191190191192192195194194191185193197195195196195197197198197197199202204205203205203201204202200194189190190189192190188188185180181183182183184182183184180183185185185185189191192192192185184185185185187187185188189185187186179181180176174176173173169167166167169168168172177178175174174174176172181177175176176173178177179181180181182181181178178175173175173171170167169169169169165167166167167173174174173175174173174175175175178177177175174173174175173171173172168166165165166166165165164164164164163164168170173175178179179181182182183181181181180178176176175177176175175173174172172171171173171171172172172170170170171171172173176177178181185186187188190191193194193192191191189189189188189188188187187185186186185185184183182181180180178177177177179180180179179180181183183187188186185184183178181180178178173171169170170172170170170167168166169169168167167170172173177182185188189187186183178175 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227228229229228227226227231233233234232232234235235235235235233234234232230229225226226228230228227226223223222222226226228228228227227226225226225225223223221220218219219220220219219219219219219219219220221223223224226225224223223224223224225223222221221223225225227229228228228229223222221221228232237239240241242241238237235234999999999999999999213215216215215215216213212210209209212215216214212211212212211209208205202198192186185181179180180181188180176181177180180179179179178180182178176175173170168166168169168161159159164164165163165165166166167168168167166167169171169167169174176178181186190193189191192191198197200197196198194196198199198199200200200200201201203205204203204204205203199196194193193193194191191190185183188184185187182182185187187189188186185188190192192192187194192187185187187189188188188190183187184182181176181184176180174170169166168168173171176176176178179178177178176178180177178182180179184182179182182182183182179177176177174174172172173173170172170167168167168172174176174174174173175175176177176173175174174174176175176176176174173171167165165165164166165165165164164166169170172178178180181185186184184183180181180179179177177179178178178177175175173172175174173173173173173173173173174174175176178180180183185191190190194194195193192191191190190191190189189189189187187186186185184185186184183182180179180178178178179179180179179179182184187189187186184182183182181180179179174173172169169171171172167168167168167168167169169172173176181186188189189189189186181177 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224225227227228226226228228233233233233234234235235235235235235235235235233230229227226228230229231231230229229227225225226228229228228227227228228228227226224222221221221221221220220219220219219219220221221222223223224227227224223224223226225223225225226227227227225227227226227227225221225223222225229235241243243243242235234234229999999999999999999214212212212212211213213211210212215217217216214213212209212212211212208204200196194190188190185187185187185186186185184184184178183181181180178176175173171168170170172172164162163164164165163166165166166167166168168170168168169168171169170171175178179189192192197198199198196200200202197200199200200200201202200201202202204204203203204206204203202201198199196194189193190188190188187189189188188185190185189191190191189191191193192191192193193192190187186188187187187189188187186184186186183186182180179179174171170169171171176176176177179181179177175176179179180183184183183184184180182183182183182180180177176174176176176175176175173172170169168168172174175174174173173175174176176176175175174174176179177178179180178177176173168166164164165166167165166167167170172174176182181182183189187185183182182180180181179178177181180179179178179175177176176176176175175177175175176175176177179181184184185187193193193196194194193191190191192191191190190190189189188187187186186185185184184184182181181181180181180180181181181182182185186187185183184183182184182181184181180177174172172169172172171168168171169170170168171172175177178184187189191190193191188183180 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224226227227226225225229231232233233234235234236236236236236236236236237234230226228227227229228230231231230230230228227228227228228227227228228229230229229229229230230228228224223222221220219219219219218222223224225227227228227225226220225228226227228227230228228229229230229230227225226223222227226229238242242242243999999999999227226225225222223999212210210210211214216215215216216217217214213211210209209209211211213213209204201192192194193195190192191192193191192192192190186183189183180179179176176171177175170176176165163165164168167168168168166170169170168171172169170171169166174177173174181184186190193195200202202200200200204203201202200203202201202202202203204202203205203202206205203205204203205199197196191190187191188191190188186188189186184190189191189191192193190188195196194191192192188187188186185185184181180183185189186183185186185183180175172171171172168170172175175175176179180179179179179184183183182181184185185185184182182180180178177176175176176175173174173174172174170170168173174176175174173174174173173176176177176175179180179180179180184182181182182173167165166166165167167168169171173175177180180181182186187188188185185183182180182183180180181181180180181183183180181178178178178178177177177177177177180183182187185188189193191196197192191192190190190189187190189189190188189188187188187187186186185185184183183183183183183182182183182181182184187190187184184184180183182184184184183179179177175174172171171171170170170170171172172174176181184187191193196196194194196190187184 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223225225226226225226229231231232233234234235235235235236236237236236236236231228228229228227227229231232233232232230229229227227228229227228227228229229230230231233234233232229227225223221220221222222225225225225224226228230230232230228227227228228229229230229228230231232231231226227226226224231233236240244244246245999999999999223223223222221217999210209211213214217214214216217218218216213212210209209209208209209210213214212207201196196195196194191193197198198199198198197196193187185182180179177178179180175176179178176172173175169166169172173170171172173173175175176176179171172175177180178175183187189195197202202203202202201201198206206205205205203202203202204204202204205204204207208206205206202198197197202196190190191193193190189191189190186186187188188189189191194192194192198194190188184189187186184185183184183185186185183184182182187187185182175175171168171169172171173173174177178179178181179181182187183181180183187185185183182180178178177175174174175175175172173173172174174173171170172175176176177175176176176176177178179182181181180180180180180182185183183184178175171167165165166166168170174175178177179180181184183187189188186185184183185183186187189188189188189186188186185185183181181183182179180180179179180184187186191189189192194196197195193190190189188189189189189188186187189188188188189189188189188186186184184185186185186184185183182183184186187191189189185182181182182182182182181180182180180176175175175175171171169171173175175178180184188193196197199200199198197195195189186 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222223224225221226225228230232232234234234234234235235235235236236236236236232229228226227227229230231232234234233231231230228228226227226226228228229231233234234235236234233232230230227223222222224228228229228229227228228229231234232232230229227230231231228230233234234234235233234232227229229229233237238244244243238999999999999225225999222220999999208209210213214216215214213217215220217213212211210209208207207207208210213215211206198199201200196198201203204204204202203202196195193184182185182181179181180178176178178176177176176175170170171174175175177176178179179180180181181178172178179182185189189188192195198202204208207203204202203203210209209208203204204205196204203205204207209207208208206204203204203202201197191192189190192189190189191191189189187188187188191195192194196202190187187187187185185188186184183183184182180182182184183185184184184182180176174174173171170173174173170174177177178179179180184182181182183183182183182181179179179177176175175176177176174174174174175176175174173173176177178177177177176176178179182182182184182181181182181181183182183184183182178178170167166166168170176178177179179180181182184184185191191188184183186186187189190191190192193196190193194189189193191189187184182181180181182187188189189192190192195196197196194194191191190190189191188187187185185187188189188188188189189187187185184185184185185187186184185184185185189191191190184183181180181181184184182182184182180179177177176177176174175176176176178180182186190194197199200201202201199197196196193188 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250245247246247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999220221223224225225226229231232233234234233233232232233233235235236237236236231228227229228229230231231232233234235233232232231230229228227228229231232234236237237237237236234232233232229225222226227229229229230230229230231232231232233233232231230230231233232234236235236237238236237236234231236235236237239244239242239999999999999999999999999999999999209208209211214216214215215218219218216212211211210209211210208209207207211214213211203199198198200201204206202204204199204203199199197189188187183183183182175179180172178173173177179178173173174175178179179182183185185182183181181180179178175181186190190192194200200203205209209207207205204206207203206206207208205207207209200207209205209207205206207207205204204202203203197193190191191189190192194197197196194193189188188190189191197194191188185186186185184185184185182183186183183183183185185185184184185182180180179176176175171172174176171177178177179180181182189183183183184184182180181181179177177177176177176177177176175176176176176176176175172172174179178180180178177177178178181183185185184184184181181181181180181183184184180176172169169168172176179180180180180180182184185184189192191188186186188190191193193194194195198200196195196197198199193192192190187183181183186188189190192193194196197198197198195194192191191189188192187187189186186186186187188189189189188189188187186186185186187188188186186186191194194194190187184185181182183180179178180182185183180180178175175174177175176178179181185187188191195196197201202203203202200197198197197192 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251247248253252250248247249247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999215218219220222223224224225226228231233234236234233232231231232234235235235237237236232233231230228230230231231232233235235235235234233233233233232232233235236237238238237238238238235235233231229228228228228229228231231232230231232233232233234235234235226234235236236237238238238240240240242242241240238241242244247243999999999999999999999999999999999999999999208210209210212216216214217219219218213212211212210209211208209209207208209212214214207203202205204205205207205206209206204204204205197197193191189185181179179178173176182176175173174174175175176178179183181177178181180181177182181183181181179183187185189189191200203204207209210209209210209209210207208207203210209210208210208209200211212211208209209209208207205204205204202198193190189189190190190195197198198197193189189188188196200198193190186187186184186186187184184183184186186184183183181180184185182183180180178176176175175178174173177173177180181183184186191188185184184185182180181179178176178176176177177177177177176177177177177176176174173172175179178180178179177178180179182185187186184184183182182181181181181183184183182179177175173174178180181183182182182181184185186187189192191189190191193194194195199199199199198199206200202203203205203203197197193190188187187190191191192194196197199199200198195193193190191189189191190189189190187187188188189190190191190190190191189187188188188188188188188192194196196194189186184182183183182182180177177184185182180179177175176175176176177178185186186189193195197198199202204204201202200201199197200193 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252253254253253254254253252250250246999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999219218218220221221222221223223225225227230232235235235233231231232233234234234235236237237236235233229228229229230230231232232233233234234235234236236236237237238238238238238238239238238236235233229226229229229228229231232233231231231232234234234235236237237228230237238242239237240240241239239238237237236240240242245247999999999999999999999999999999999999999999999209208210210208211214216217220220218214212211211211212211209210209207206207210212214209208209207208209207204206208207206205204204202202199195192191186181182179180179180178177177177175177178174179179181182185174176178179181178182183179175181177182187187188188192201203204204207209211209210210210211209208209208207209211210212211215214216217216212212213214213212209208206205204204196193191190191191189191195196199198196192192186193196201197193188186184189187187187187186185186186187184185185186186185188186187186182183181180177176175180177179177183180183185183184184185187186185186188185184181179178178176176177178179180180178177177178178178176177177176174177179181179178177177178179177182189187182182182183183182182183182182182184184184181180179179180181183184184182184185185186188187189192189191193194195195196199201202200200200200204209203205203206205204203201199197194192190187189192194194198198199200201200197193192191191191191188191190190192191191189189190190191192191189190190191188186187187187189191188193194197197197195190185184184183181183183180180182180180182182180180179178177177177178181188191193196197199199200201203203202202201199200198203202198 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251252252253253254254254254254253252252249247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999218220221221221222226226223224221225227227228234235234232232233233234233234234236237238238237237233231229229230230229230231232233234234235235236237235235236239239239240239239240240239239237234231228230231231228231232232233231232233233234234233232236237237238231233232234236242242241240241239238242244239236241241241244249246999999999999999999999999999999999999999999999999207207205211214216217220220219214212210211211210210209209207207207206210206208208212212213212211210210205205205205206205207203202200197192193187185183182182182183182182182177178180180175175181182175187183181175181179185183182181184187184183187190189189193200203204207211211212211210210209210210211210210209211206210215216216217215214215214214213214214212214211212208205207198202197193191190190192195196201200198195192192197198202193190191188190190188189189188188187188188189190183188187189188189189189188187187186187182180183183182183185187184186189185185186186192190189187187186184182182181180180180179179179180180178178178178180179179177178179176178178180179180178176178178180186189185180182183183184183182183182183184185186184183182182183183183183183183185185186186187188188193195197196197195197195198197202199198198202203205201203203202202205203201201201203202196193193193191195197198200200200201199196194192191191191195192189191191191192193193190190191192192192191190191190190189188188190191191191196198198196197195193186184183183182182183182182183182183183182181180179179180180183184187191193195198198201202201200203203206207206203203203201200198 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254252251251251252252252252252252252252252251249249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999217220220218220222222225226224223223224226227230233234235234233233235234234235235235236237235239237235235232230229231230230230231233234235235231236238238238239238240240239240239239240241240239237234235233232231231232234233233232234235235236235234234236238237239239240235235237238241242244243242246237236245244241241241242245250247999999999999999999999999999999999999999999999999999210211212213217220221221221220213211213213212212210210209209209211209208210209213211211212212212208207208209207206205207205205205200195194183187184182184184187185182182179180181184183178189184188181188180181183185188189184187181189184190194193193193198202204206206209211211210210211211209211212213214214217217217218217217216217217218216216215215216215215214214212208207205205201197193192192195200201203203199195195198200201193193192189188187189192192190188187189186185188186186186190189187188188186185185187189188190188195197195193196195190189196196196199195195193189189188191186186186184184182180181180180181180179179179178180180180180181180179178180180180180177177176178182188187183182181183183184184182183182184185187187185184183183184184185184183185186187188189189190194194195197197198198198198198199197198198200204207207204203202204203201203201202204206202201195193191194197197200201201201202198197195194192193192195192190190191191192192190191192192193193192191190192191190188188189188190191194198200199198197197196190186184183183185185185183183183184182182181182181180182181184187190196198199200202201203202205205204208206207205204202201200197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251251250250250250249249248249249250251251252251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222223220221222222221223225224223223225225226225228229233235236237236236237237237238238238238237237237236237236234232231231231231231231229230236233234238239240237240239241241241240241240241240241240239236234233233232231233233233233233235236237236235235236236237239240236233234237239236243245245245237238238246245243243243243244249250247999999999999999999999999999999999999999999999999999999210210211217222223223223221217214215212213213211211211209207215211213210211212213210212212205209208208211207207207208205207205203199196192187186185188185188188185184183184185182183181189185186187184184182184186186186188189187183188194193194195196200202202204206208208210211210209212214214212215216216217218217219218224218218220219217217217216216217217216215214213212210206205202198197198198201205205203199195196200204203196193194191186188190188191192190189188189189185185185187187189189186188186187188192195196200200203205205202201202196197205205205205205202200199196192191189188188187186183182183182184184182182180183182183184184183184183183182182182180179176177178181186192186183182183183184183184184184185185185186186185184184184185185184185185187189191193193192193196197198198198197199199198198200200200203204207209208207203202202201200201202203204204205203196192194197198199200202203200201200198196194193192192193194194191191191191195192192192192193192190190191190190190188188189189188190194198202200200199202198194190188185184182182185180180181180184182181182182182183183185191196198199201201203204206206205207206207207207206205203201199197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250248247248248246246244244245245246248248250251999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999224223222222221220221225226227224222223224226227229229231233234236237237237236239237240239240240240239239238238237236233233233232232231228231233232237238238239239239240241241241242241241242241241241240240238235234233232232233233234235234237238235234235235237239238240241241238241240235237234236240239238245245245246244244244245248252251249999999999999999999999999999999999999999999999999999999210211212217223225224223223220215215211213214212212209211216213213211213213208209210216216207206210207211208207207208206207207202201198192188187182188189188188186185186187184184184189187188189190189190182187187185189189190188183191195198199201199197198201201203205207210210213212214215215212216217217218218219218217220221221221220218218219219217218217216216215214215213210209207205201201201202207207204198194197203204206198193194191190190192194191192195191191190187185190193192195193193192194198195196201196196204203209209211211208204205198207206205204207207206201203198194192191189188188186184184186185187189190189187186187186186187186186186185183181181178180180181186191190184183183184185186185184185186185186187185186185186186187187188187185187190194195196195194195198199200200199199199200199201203202203207206209208210204202201202202201201202203202203202201197196196199200200203204203203202201197195195193193194194192193194192192192193193192193192192191191192191191190190188189190189189190193199203202201200198196191187185185185183183185180180181181181181182184182182183184189197197199201204206206205208206205207207207207206205205204202200197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248248248245244245244241242241241242243245248248248999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999223222222222222222224224223224222223224224226228229231233230231233236236237237239240240240238239238238240239239239237237235234234233232232231233234236237238239240240240242242242242243242241241242241240241241241238236233232232233233235236235235235233235237238238239238239241232236239238238241243241246236240239239247247245245245249253252251249999999999999999999999999999999999999999999999999999999999212213216222225226227224221218213213215215213211214214214215213212213214218216212216220211214211209206208209207208208206206204201198191188188188190190191188192189190189188186190191191191191189190190190189192189191190194192191196195201202204204202201202202202203206210212214216216214215214216217221220219221220221220220223223221221219223220218218217216216217217216216214213212209206204205205207207202199196199204208208198194194194195197196197199199200204202201195198197197202200198198201203204205206208206204203207209208208207205209208209207208200204201208209207205204197195194194191191190190192192189191190190190188189189188187189189190189187185182182181182181186188194190184183182182185185185185187188188188186186186185186186189189188187190193198197197196195196199200199200200200200200201201203204203205210206207210211205204202202202203203202202201202202201196196199199200201202201204206205202199196196195195195195194194193193193193193193192192192192193192192192191190191192190189190190191192200202202202201199197192188187186185184184184184183185186186182183185184181186186191195195202204205207206202204203206207206206205207205203201204202196 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251250248248248248244244245244240238239240238239242245248249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999227224224225222222222225225225222222223223223224224227229230232232232233232234236235236238239239239239237237237237238239240239238238236235236232232233235233238239240240241241242242243242242242242242241242240242242242242239238235233234234234235235236235234236238238239238236235241241236238240238238240241242241241240238238248246245245249253253252252251999999999999999999999999999999999999999999999999999999999213215215222224227226224221221220216214216216214213210214212216218215217218219215214220217213215212208207208207209206204206203202196195190191191193194193189191193193193192192189192195195195195195195195195196188188194197197197198199203205205205207204204203203207209211215216217217216217217220221224223222223222223222221223221222223221222221220219218217217219219219218216214214212210210210207210205202197195199201209203204199197197199202202202203203204207210207206208207207208210209208208204205211210210211210211209211210208207207207202200201203203203204208210208207207200198195192192193190192191194191191193194192191189194194193195193195193190189186184182184184188192194188183183184184185187187187187188187188186187185188190188188189189188195198198197198196196197200199201200200201200200200200202203208210210210212213211208205203204203202202203203203204203201198198199202203205205204204205207204200198196196195193193194194193194194195194194193193193193193191193192193192192192192191191191191195203202202202201202200196192189187186186185185184183183183183184184184184184186189194196197204200206207208204206205205206206206206206205205206205199197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253252250252252250247244243244243241240240240239236237240244248999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999235236235232230228225226224224225222223222224223224224223224225228229231232231232232233234234233236238239238239238239236237236237239240239238233237236233233233234234234233239235236236237238242243242241240241241242242241243243243242241240237235235236236236236236235237239239240239237237240240238241239241239236236237248242243241238239244249246248252250253253999999999999999999999999999999999999999999999999999999999999999999215217222224228228227225222224222220220218218218218217218219218220219220221218220220219218213214210208208208208210209206204201201197194192193194196195187200193189189201194196197197198198200200200200200198195196195197199200200200203205206208208207207204206208211211213217217218218218218220222224224223223223223224226225226224224223223221220219219219219218220220220219217216215213214212212212210207201198200200206206207204206207207204205209209210210212214212211211214216214213215216215215217215206215215214214210205204206204203202204204205205204204207208212210206206202199197193193193195196197195194193198198199199197198196196196196195195193191188186185187185191192192187185185186185185186187187188190188187187186188190190190189191191197199200198197197197198199198199201202203203202202201205206207208207207210211210211207206206205204205203204204204204204201199199201202202205205207209206208206202200198198198196194196195195193193193194193193194192194192193194193192194194194192193193192193200203204205204203204202199197194191189188188186186186185186189190189185184185189193196198199202204206207208207206206206202205205205206206205205205202200 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254254252251250251250250248246245245243241242244241239234237240999999999999999999999999999999999999999999999999999999999999999999999999999999228228999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233235234233233232230227224223224225222224226228225225224224222223225230230231233232232233233234233234237240239239240239237237237236237238238238234234232234235234235234234236236235236237236237241239242242236236236237237242243244244244244243241238236237239237238237239239240239238238241242242240239240239238235237237237241238240244242239244240248249251252253253253252252999999999999999999999999999999999999999999999999999999999999216217221226228228227225225225224224223223222221223222220221223224222222218215215221220221221217216212208208211210207206205203201199196196195194195201201204203197200202203204205207207208208210208207204201197198194198198198199201201204210206210209208207207212212214214216217217217219220221223222224224224225224224225225226225223222222222224222223222220219220221221219219218217215214213214213212210208204201201202205207209212210210208213213212212211210214216215213218218218219220221219219220213216216215208202202206202202204203201202201201209205206206207209211209207202201198196196196197198199200199196198199202201199198198197196194197197197193191187187188190191193191188185185185184185186186186187187186187187187189189191190190190196200200199198196197199198199199200202203201202201208203207205209208208208210211212209206205206206205204204204204203203203200201201203203204204205207208207208206204201200201199196195197197196195195194195193192192193193193192193194193193195195193193196196199203204205206206204205203202201200198195192191190190193193193192187186186187188195197201202206208204206207207206205203203206205204205205204201205208202199 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252252252252251251251250250249248247246245244244243238238236239999999999999999999999999999999999999999999999999999999249248248244244246248248242235235239245999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234235235232230226226231230227223225225224226227227223223219218220223228228228229232234232233234236233233234237240239241238237237237236238238237233234234234234235236234237238234235236237241240241241241242243243239238238238237237239239245244243238239239237238238237239241240239238241243240239240242241235235237237237237240238237238247244243241242250251249249253253253253251249999999999999999999999999999999999999999999999999999999999214217222226228229228227227226225224224225224224225226227227225227223226221220223222222221220217217213209207205208206206205203202201199199200201193199200209209208210211211212213213211213215213213212210208206200197196196197198200202206209212214214214209211210213214215217217218214218220222224224224224225225226226225226226226226226224225225225224224221222224222221220219219218215214214216214213212210206204202203206209211213213215216216216214215217219217218218217220221220222224223219221220216213214213212208205202202205203203201202203206208206205206206208208211208203200199198199197198199200200200199201203205203203201199197196197198198196194193189188190193192195190189186185184183184185186187188187187188188188189191190191193196198200198198197195196198199201201203205204202201205207208207208209208212213214214212213208211209208208204204205205204202201201201202203201204207206209207205207206205204203202201199198197197197195195195195194193192194193193194194195194194194194194194197198202205205207207207205205205204204203202201199195194194192191191191188188189190191197200202204207206207209208204204204207206205205205205202199202201203201199 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252252251251252253253253252251250249248248246246245240237234237241238999999999999999999999999999999999999999999999246246246246243239243246243248248245242248249999250255999999999999999999999999999999999999999999999999999999999999999999999999999999237238236234231228227227230229228226225226226226226222221220218217219222227227229230232233234236236235236235235238239239239239237237237236238237237234233232233233234233232237239235236238240240242242242242242241242242241242242238240241240239241240238237240239238241242242241240240243243243243243244243243240240239239242242241241241244248247244240244247247251250251253253255251252999999999999999999999999999999999999999999999999999999999216219222227228228227228228227228227228228227229229227229228229228227230230234230228225223223223220219212213208207204208208205204202202201203200207203207211215214214215217216215215212215215216215210208209209213207200202206207204206207213214215215214213213212212218219219220220216220219223221224223225225226226227227227228225225226226225225225225224222223223222220222221219216215213215215215212209210209208207208211212211216217218218218219218219219221221224223223221222221222223224224226218217216215212210208208210208207207206204209209211209206207208207209210210206203202202201201201199199202202201201203204204205205204201199198198198198196195193192192197197198197191190187185185185186186187187187188188188188189190191192194197197197198196196197197199200201203203205203202203204204205209210209210212210214214213211213214210207206205205204204206204198200200201203205204205206207210208208210207208207205204203201200198198197197196198197196195196195193195194195195195195195195196197200202205207209211211212206206206205206206205204204202202204197195193191191192191192198195200202205205204208209209204203205206207205203206206206205204202203202200 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250251250251253254254255252249252251250249247244241237233236999999999999999999999999999999999999999999999243241244245246248247246246244241243246248246247247247246248250250240999246999999999999999999999999999999999999999999999999999999999999999999999236235233231229227227228227227230226226227220223219220217217221223226227230233235235236237239240239241240237238237237239240238238237237238234234232235235235238239232232239238239239240240240241241242242242243243241240240242241242241240242242243241241243243244243243243242242242244244244244244243243244243244245246240242242244244245244248245246246247246252251253253254255253253999999999999999999999999999999999999999999999999999999999999219223226229228230228229228229228230233231233228229230230230232233234234237239236233231229227222221216214215214213213212209207207204204204205209212216217218218218219217217216216214213213209208207210211213211207206207204204205206208214216216214212212215216218219217222224218220221222223222222225227224226227227226225226226227227227227227225225224223223223222221221219218215214214210209215212210213212213215215216215216216216216220222223223222220221224224225226225225225224224226227227223218215215213211209212212209208207205206205208206207207207209209208210210207205206203202203202201202205203202204203205205206206206202201199198197198198196193195195199201202198192191188187186186186186188188188190191190189190192194196197196195197197196197198198199200201201202203204204205207208209210210209207210211214213213215213213209205204205205204204204201200200200201202204205205207208210209210210210209208207205204203201200200200200199200200196197199197196197197198196198198198199198201203205206209209212210211207206206204206207206207206205205204202200196193193192194196197197197198202205206208209212212210209209209206207207207205205204203203202197 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247249249251252253254256256253253252252248244239236234232235999238999999999999999999999999999999999244246246242239240242244243240238237240241242244245245245245244245246250248247243999999999999999999999999999999999999999999999999999999999999999999234235233231230229229227228227228227222222223225220219216216220224229231233236238239240239239242242243243242240237237237238240240239239239235240234234235235235236240241240242241240240240241239239241242242244243243242241241241240241241242243246243243242242246245244243243242243244245246245244244244244244245244245246248249246249248241242244244247250252252252251251255253255249252999999999999999999999999999999999999999999999999999999999216218224227229230230230229231231232233231233232229231231231229234234237236237237241242240237233227225221220215217215216216214211210208208209210212217219220220221220220219218217218217214213212210210213212214213213216214211211210208210213214215213212214217219220221222222223221221218218218222221225225225225224226227227228228229229231228227227226225226226224224223222219220216214210211210210211212214217217216215217218218218218217219224225224224223223225227226229229229227226227228229228227223217217212211213212212206208207207205205201201207208208209209208212211207209206205203203203203203204205205206206205205206207207206204201200200200200197195196198200203205198195192190189187189188188189189190190191192192193194196196196196196197198198199199199200200200201201203204207207209209211212212211211210210212213213215214213211207206207205204205202199200200200200202204205207209210210211212212211211210208206204202202200200200199200198198198199198197198198199199199201202201201202206207208209209211209209210212212212212209208207207208208209208206202201198194194196197198198200198202204204206209211211208211209210209209208208206206206208210210207 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248248249250250252253254256256254254250247243241236233232232233238248251248240999999999999999241246246241238239240239238242242241239242243241239235235241242243244244243248249247248248251999999999999999999999999999999999999999999999999999999999999241235234232232231230229225226224225221216219217220220214215224229229234236237237239242241242239240243243243243240240238237238240239239240238234235234234234235239239240241240241242242243243242238241243243241244244243242241240240241242242244243244245247247247246245241243244243244244245245245245245244245245246245245246248249248247246245247247246245253250251253252254256255255256999999999999999999999999999999999999999999999999999999999220215220226230232231231232229233233233234234234234233234231236235236237237239240241244245242241240238233226223221220217216217216213212212213213214218220221221222221221222221220220218217216218217215212216219219219217217217217213214210212215218216213216216218221221222225224224221220222221223225226226226227226228229229229229229230229229228227227227225225225226225223221219218216211212212213213215214216217218217218220219220220220219221222224223223226226227228229230232230232229229231232231226223217213212214213211211207209208207207206209207211208209210209213213213211209207205205204204204206206207206207206206205205207207208208207204201199200200198201204207208207201196193192192190191191190191192191193195195196196197198197196198199200201201201202203203203203204205205204205207208208211211210210210211213212215214215215213213212207206206206207203199200201201201202203203205208210211212212212212212211208206205202202201200200201201198200199200201200200199200201200204203203204206208209210209210210209210212208209208208208208208209210211212210209207210203200198198198197197199197198205204208207209212212213212212211210206207207208208206208207206 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248250250250250251252252252254253249252247244243240235233232233235240245248249999999999999999239238240240237231234236239241243239243241241244243239236233238238239238239242245246245244244247999999999999999999999999999999999999999999999999999999999999240238233234234234230231230225224224222221221221221222223226227230232235236236239241243240240241241241240240240241241239238239241240239240236235235235236240239238241242243242242241242245245244239243244243242244244244243244242242242242243244244243246247246245244245244244243245245245243245245245246245245246243245245246248250247247244243248248246245250249248254254252256256256999999999999999999999999999999999999999999999999999999999999218218223229231233231232233232236235234236235237239237238235238238235239239243239246246246245243243243240235228224223220220219218216215214215216218222221222219223224223223223221221220217220219216220219216220218220219220219219215214211212214212215212216218219222221222224226225223222224222222229227228227226229228228229228229228229230229228228228227226225227226224223221221219215213216216217214217217218218219220222222222221221221220221223225225226228230231232231233232230232233234234234233229228223214215215213212214211212211210208207209209208211210211211213214213212209207206205205205205206207207206205206205205206205207208208209209209207206207208207210211211211208199195195194194192193194195196195196198198197197199200199200200201202203205204204205207207207206206206205207208209209210211211213212211213212212214216217217215212208206206205205201200198201202202204204204206207210213212212213213212210208207207204203202201202203201199202200202203202203205206204203204205206206208209208211209211211211209210209209209209209208209210212213213212211210209206203200200198197197199200203204206207208209211212211213214212209209210209208209207208208208 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999262261260999999999999999257999999249248249251251251251252250251250252250249249246243241239234232230234237244251253999999999999999240239236236235234230232236239241242241240242244244240239238236236233233230231238239240242244247999999999999999999999999999999999999999999999999999999999999999999999229232237236232229226223222224225221221223218218220229232235234240241242241243241241242241240240240240243242239240238240242241241242241242241240240240239240241241242242243241241245245244244244243244245246245245244243242242243243243244245245247246244242246244244244243246246244241246247245246246247247246246246247249249245243244243244246246246246246248254255254251252257999999999999999999999999999999999999999999999999999999999999216220225229232234233234232235235236236238238237239237238236235235236239245250246248246245248246245244244243236228224223223223220217217216217219222222221223224224225225224223223222223221221220221221221220220220222219219216218214213214213214216215214215215219223221223226227226225224224226226223225226225227228228228228230229229229228229229229229229229228227226224223222222217216215215217215217220220220221223223223224224226223223223224225227228230231233234234236237237237237238238239236235232231226216214216216214217216215214211211210212213215211210210210214216214211208207207206206205205206206207207208207207206208206208208209209209211210211214214215214215212212211204197196196196196195196197200199200199200200202201203203202203203203204207208207208209207208208207207207208210212209209210213212210211210211212214217219219218215210207206205203202200200201204204204205206207208210213212213213214212212211209208207206205204204204205203203204204206205209210208209209205207207208209207210210209211210210208209210209209209208209209210213214215216215212211209208203201198197198200204206205206206205208211211211214213213210210211211221220212211207207 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263264263260999999254259256254250249250250250251251251249248247248249248246246244242240238234230229233241250252999999999999999235237239236236233234233235236238236240241245244244246242240240238236231229229231229233234238242247999999999999999999999999999999999999999999999999999999999999999999999999999234237234233231227223223223221219220222224225230234237237239241242242241243240241240242242242239244242240239238238242243242242240241242240242241242241243243242244241242243243244244245244244243246245246245245244243243243244241246243244247244244244245244245245245245242246245244246243242247248248247247247248249245243243243243245245244247245246249251253252249249254999999999999999999999999999999999999999999999999999999999218219223227231234235235234236236236235238241240239241241237237238237242243250253252249249249248252248244250250244233227226225224224218220221220224223224224225227226227227227225224223222222224223224222221221222224223222220219217217216216218218219215216218219222222222224225225226226226226225226226227227227227226225229230230229229229229229229229230229229228225224224223222220218217216217220220221222223223225224225224225226225225226225227227229231232234235236240241240240239239240241242242240236233228219217219218216218216218214213212213215215215212212212214214214214210207207207208208206205206207208208208208207207207207207207207210211212214215215217217215216216217214209201198198196196196198201199199200201201202202203203204204205205206207209208208209209208208208207207208209210210208208209211211210211212212214217219221221220218213206205206204202201201203204207207206207207208210213212213213214214213212211210210211210207206207210209207208207208210210210210211210211211211214212211209211210210211211211212212212210210210211213212214216214215215216210210209206201200198198201201200202203203205206208211211214212212211215213217215213212212214210 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267265265263262258256256253252251251252252251251251250249248247246246248248247246243239236235232229228233999999999999999233233229231235237241239237240239238237238237242246243244246246245244242242235227219221226228227232239241999999999999999999999999999999999999999999999999999999999999999999999999999999999231234233234231225223224224222223226229230234236241242239240241241240241239242243242243243241243242241240237237241242243242241238238242237238242242242240244242242243245244243244244244244244245246245244244245243244244245243245246244245245245243243244244244243245245247247246242248244247248244248244245244244246245248246246245244247250250251253252253251251250999999999999999999999999999999999999999999999999999999999220221224225229232233237237236236237237237240240237243242242243243243243246249250250250253256251251254251251251252250241232234227229228227225225224225226229229224225225226229227227226224224224224225225224223224222222223221222221220220219220221222221218220221220218220221224224226226225225227225225225226228227225225228228229229229229230229229230229230228226225226224221223221219218218220219220221221223224223223224226224224225227228227228230232233234236237240240242241242243242242242242245244243239234230223219220221220219220212212218214215218217216213213214213213214213211208208207208209208207207207207207209210208207208209207208210213214216217216217219218221220222221217214204198199198197198198200201200201202202204203202203204205206207209209209211210210209208208209211211211212212211210209211212212213213214215215219220223223222219217208207207207205204202204205206206207208208208210213214214214214215216212212213214214214214216215215215214215214214217214214213214214215214214214214216212212213213212214212213213212213213213214215215214215216216217219219217215212207202200199201201204203205205207207207211212215215214215215215217215215216215219213 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269268266264264262259256256255255255253253252251250249249248248247246245246247246246241240237235233229223999999999999999999236236238237242243245245244243244242244240241242246243242246245245245246243235228218220224226227232240999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232235228230226224226225227229229228235238238242242239240240238241241243243242243242242243241240239237237240242243241241241244243242243243244242241242239242245247242246245246247245244246241242244245244244244245245246246246244245245244243244243243247250245245240244244247247241243246243249245246244246247250250250249249248250252252253254251256251255253999999999999999999999999999999999999999999999999999999223223224225227229235235234237235237237238238241240242242243239242245246249251251257254254252253254253256254255256254250246236233232232231231230229227227228231232231230228228229228227225224226224224226225224225223224223224224223223223222222222223223222222223222224223221223222224225224227226226226226226225226226225224225224229229229230231229229229229228227226226224223222221221221221220222223223222224224223224223226226225226225226229227230233234234235236239241243242242244242244243243241244245244241238233223220222221223223223217216215215216219219219214215214213214214214212210209209209209211209208208207209210210208208209208208208209212213217218219220219220223221223223221217211204200199199199200201202202203203204203203204205205206207208210212211212211211210210211213213213213212212212211211212212213214215215216218218219221222222221216212209207207206204203206206207209209210210210210213214214214215216216215215215217217216217218217217218218218217218219218217217217217217217218218218219218216217216214218217214214214216214215216216216216218216218219218216215214210212207204200200203203204204206206208210213213214216217216215217216217216220219218218 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270268267266263262260259258257257255253253251250250249249249249247247244245244245245244241237234234232232233236236235238240242242243245246247248248244245249250246244243247247245244245244246246245239238227218217222223226234238241235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232231226224224225225228229232234235234237237242240239239239242241243243242242242241242240240240239238242243242241242242242242243245244243243240240242245246246247248244247246245245244241245238243243243244244242244245244244246245245246244246249248249248248244244247246244246247246249250245243247247250253252252252249251251252254257257257258256257999999999999999999999999999999999999999999999999999999999226227227229228229233234234235235237239239238239239240241242243242245249252251252251256254253253252255255258255257255257254246239236235234233231231230227229230234234234233231230230229228228227226226225227225225225225225223223223226226226226223224224224225227227229229227227227226227227227227227227227227227227227226226226226227229229229229228228227227227226225225224224223222222221222222224225225224224226226226228229229228227228228229230232233234235237239241243245245244245247244244244243244244243241239234225223223224224224225220217216217218221221221216216216216215216215215214213212210209211211210209209210211209208210209210209209209210214217218221222224223223224225225224222217211203201201201202203203203203204203205205206206205207210210212214214215214214213214215215215215214213214214214214213213213215217217219220220219223223222222219215211210207207206204206207208210211211211210211211213214214216215217216216217218218219219218218218218219219218218219218218216217218218218219219220221220220221220218220219220218219218217218218216216220217217217218216215214211210209208205202201201207203206206207206211211214215217217218217218217219218219220219219 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270267266267265263263262261260258257256255254253251251250250250251249249245244244244244244243240235234233236236240243244248249248248247246247248249249247249249250247247247247246248246245244246246245242237228216219219222227229236232999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233230228227228229229230235235236240240241240239239241241241242242242242241240241240240238241241241242242241243242243243244244246243244243242243245246247248246246246246246247245245248247241246244245246246245245246245244247246245243249248250247247246246242244248247244243245243246243244247248251251251252252253252253253253255258259258258999999999999999999999999999999999999999999999999999999999228227228228228229230234234235235238238239239240240241241244244245247251254255257254256256255255255256259259257258257258257257252243239236235232232233234234233233235235237235234232233231229229230229230229229226226227226224224225226228230229231230229228229230231232233232231230230229228229230230230230229229228229229230230229227229230228230228228227227227226225225225224224223225224224225224224227227227227229228229230231230231231230230230231232232234235238239241242243246248246246244243244245243243244243242233227224223224223224220220221221220220220220219219219218216218217217216215213213211210210210210211211211210210210210211210210209210211213215219223224224224225226227226224227223218209204203204204205206206207208207207208209211211213214216216215215216216216217218217217218217216217217216216216216216218218219219221223224224225225222222220219216213210207206206206209209210210212212212212213213214216216217216217218219219219218218218219219219219218218219219219219218218217219217218219219220221222223222222220220221220220223218221220220220220219215215216215215214212211211210212205205201205204206207203210213215217213217216218218218219218222221222220222 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267265265265264264263262262261260258256254253252251251250250251250249245244244243242242242240236233231233238244246247251251250249248247247247248248247246247249248245249246245245247246247247245243242237228218218218220226228241999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231231229229229228229228235232234237240241240239240239240241240241241240239241242238239239241241242243243243242245244245244245245245245242244245246247246246245247249250250250248245244244247247244245246247247246247246248245245245245245245246247250246246243248250249242243247250249248250252252252251253254250248254254257258258259259259259999999999999999999999999999999999999999999999999999999999231227228229229230232234235236237239239240242242242243243245247250255257257260259258257257258259261259257259256257260258257256253248241237236233233232235234236235236237237237236235233233235231232232231230231228229228229227228231231231228229233234233233232233234235234234233232231232232232231233230230230230231231229232231231231231231231231230228227228226226226225226225226226227226227227227226227229229231229231233234233234234235236236233237238236237237239241240243245245245248247245244245247247245247246240234226226224223215224220220220222222223222222223222221222219219218217216216215213211212211211213212213214212212211210211209211210210211213214219222225226227225227227228227228225221215208205206203207207207209211211210211213215214216216217219219221221221221220220219222220220220220220220220220220220221222224224225226228227228228225225223222219216212209206206208209211209211212212213213213214216217217217217218218219219219219219219220220220220220219221222219220219220219220221220221222224222224223224222222222223223224223223223221222219220219215214214214218218217211210211212205204203206205205209204210213215217217218222219219219222219223224224224223 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261262264265265266265265264263262260258256254253251250250249249250247244244242241238238240238236231232232237242248251253253251249249248247246243246245244245249248247250251247246247247247246244243241236229221217219217220999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232230230226229229228232231233237241242241241240240240238241239240240243243240240238239241242243245244244244244245245248248246246246246246247246246245245245243248248249249246248246248247247245246247248248246246247244243247248249243245247252248243246247244246248242250250251251248249251252252252254255249253256257258258259259261259999999999999999999999999999999999999999999999999999999999999231233232232235234234235235236240241241241243244243243244247251254256259257259259258258260262261262260260261261260260257259258256250243238237235234234236237236235235236238238238238237237235235235234234233233233232233233232232234234234237234238237236237236236237238237238237235233231235231232233233233232233232231231233236234233233232233233231230229228227227228228229228229229229230232229230230230232233231234234235236236236237237238239238238238237237238241241241241244245246249247246245246247248248248247240234229221224224218222218220222215222223225227225223223222222222222220219217216215213213212212213213215214214212212211211210211211213215216218220221224225224224225225226228228226225222215208205205206207208209210211215216217218217217218220221223225226227224227226225224224223222223223223223224223223225226227229228229229229229229228226224224222217212209207207208210211212212214214213214213216217218218218218218220219219219220219220220219220220219220219219220220220220221222222222224224225224225225224223222224224222223222222222222220218220217218219217218219218213211211212209207204204207206206208209210210215219220221221219221223222222222225222222224 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264267266264264264265265265264263262259256253252251249248247248247245243242239235234234232231231231235236240247249251253249247246246246244243241242242245243247250250250248248248246246246244242240237227221217216219222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231234232230226229230230231235237237242242242242240239238240241240241242242241240242239236239243244244243247244245247247247247247247248250248248249247247246246245245246246246246246247247246245247247246247244247245244246248249245245245247251247245245247246248247249250244246246248249248248248254254253255255257258259259260261262258999999999999999999999999999999999999999999999999257257255999231233235235235236237237239239240241241243243243243245245250256256259262262259259259261263262263262261262262262261262262259256257252244241237235235236237237236236236236236239241241239239238238238237235236236235237237236237233235236236238238239238239239240240240240240240240239237235236236237236236235234233233231231232238236236237232236235234232232232232231231231232232232233233234235235233232232234234234236237237238238240240240241241241239237237238238239241241242243242245247244247247246246246247246244240232227222226225222219226218227222218220223223222224224223224224224223222220219220219216215214216215215214214213213213212213214214216218219221222223224225224224224226226227228228228226223214208206207207209210210213215216218218218220222223225224224226226225230231230229227227228227228227229229228228228229230230231231231231232231230227225226222221219210209209210210212214216215215216216215217217218218219218219220220220220220220219220219220219219218218220219219219220223223224221224226224226227226225225225225225224223222222221221220218218215219219218217218215214213213213211209210208208207209210207210213217217217221220219221222222222221224223224225 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274267263264266264265265265264263261258255253252250247246246246245241239238237230227229230231233235238237240244248248248247245245244244244243242241243242246249250246247247247247245246244242241235229223219216218222999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999234234228229229231232232234235236238242243242241240239240240242241242238244243241242239239244243244246247247247248247247246247248250248249249248247246247247245244245245245246246248247244242245248249250246242245243246246245245245245250251251248246246246248248245251245246246246250250247248253253999258257259258259260262263262259999999999999999999999999999999999999999999999256257258254251235232237237237238239240240241242242242243244245244247248254259259261262263262261262265265264262266265263265264263263264264261257258252243239237237236238239239238238239239240243243241241240239240238238239240237239240238240239240238240240239239239241241242242242242241242241241241240239241241240239238237235235236237236240239238239237237236236234234235234235234234233234232233233236236236236233233235236235236240241241241242243242242242242242241240239239240241241240238240241242244248248248247245244242245238230230224222219216225217217219221224219223222223225224225226226225225224223222221220220217218218216215215216215216216216216219218220221221222223224223224223224224225225226226226226226224219210207207208210210211214214216219219220222223225226227228230229231234232232233232232232231232231231231232231229230231232232233232234234232233231229226224225221215211209211212213214214214215218216215216218217217218219219219219219221220220219219220220218218219220220221220219222222223225225225226226227227227227226225226225224223222220221219218217219217216219216215217214212214213212209205205207207208209208207208209214221218216218219219220222224223225224227228 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260265265263264264263999263262259258256254250247245246244243242238236237233230231228230231232234237239240243243244245244242243244244243243243242243245248250245247248247246246244244242242237231227219215217999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233235236230231232231232234235235237241244244243244241243242243245245246245244244243241241242242245246246246245248246245246247248248248249249248248246248249247247244243245247247248247246239241245248248243250243247248249249244249249249251252251252245247249254253252252245249248251250250251253999999258258256259259261264263261999999999999999999999999999999999999999999999253258258257254248236236240239240242243244244244244245245244245246247248251256261261261263265265263265265266266266266265266265265264264262261261262257256250244242238239239241238238237240242244245244242242241240241240239237237238239238239239240240242241242240243243243243245244243244242243243243243242241243242243242240239238238240241240245241239240239237237237236236238236235235233233234233232233233236235237237237238237238243243244243244245245245244244244243244243241241241241240241240238242244247246248246246246248239244241239230219223215214220213218214219217216220224224224225224225225225223224225224224222221219220219221219220220222221222222222221223223223224225225225224224224225225227226226227227227227226223221212210211211212213214215218220221223226228230230232233233234235236235235238237236236236235234233233231230232232232233233233233232233233233231230228228225224217215211212213217215216217215218218218214215217217219220217218218218220220219221222221221221221220220220221221222223224224224225226226226228227227227226226225223223221221219219215215220216216214217217218216215215213214213213206207208210209212209209209211214217217218219224224223223225224225227228228 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261260259258255251249248246244242243242241240238234235234232231231232234236239240240241243241241242243244243243243243243245248248246246249248247246246245244237242237230221217218224225230999235999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999233233231232233231233235235236238242243245245244244245245244243246246244244244244242242243243246248245247244244245245247247248249249249249249248245245244245246245242245246248251249247249244246246247242245246249251251247247249250247252246248253249248254255254254251248250248249251254255253999999999259260259261262263262999999999999999999999999999999999999999999999999251256257257252247240239240241242244245244247247247247246247248248248249255259260262263263264264266266266267267268268268267267269265263262261260262262261257251245240240240239239243242243243244243243244244243242242241239240241240239243243244239238244242244244243242243243244244244244245245244244244242246245246246241244242241240242243244244241239241239239240237237238238238236235234237238236235236237237237236237241244242243245245246246247250251250250250247247245247248247246245245242242240242244246246248249252250246243239240229227223219218216215216223221221218221225227224225225226225225225224225225227226224225224224223224223222222223223224225225225225225226226226227226226226226227228227227227228227228229229228225218214213213213214215215220220222225227231232234235236236238237238239239239238237235235234233233233232231231232232233234233233233233235233233231234230227225219215213213216218216217215215216219219217216217216219219217219220219221220220221220220220220221220219220221219222223223224225226227226228226227227228226226222222221221218217216221220215213214214216216216217215216216214213212210208209210209208205209213211212216217220220221222223223226228228228229230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259258257255253252251249245243245245239242242241243236235232230230230231235239238238239242242239239240241241243242243245245248248246246245247246247248246244244240233225218221224224231999999999999999999247999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999232232235232236239236231236231232236246240235245244246250246246245245243244243241242244245246248246246245243244246246246247248249249249250249248246245248248246245246250250250247248252245244244243246244251250251253251251250249252252246250252251251251250254254252249250250251251252252254999999255258259260262260999999999999999999999999999999999999999999999999999999251254255253248245243241241241244245246247250250250250250250249249249253257260262263265265268269268268268268268269268270270270269268266264261265261260260258256252242237240241241243244245246245245246246246246244244244243242243242245246246245242242243242242244243241242242242242243243244245245247247247249248246245247246245246245245248247249247244244243240237237237237237238237237238238239239237236236238238239241244249249246248247250249251252252252250252251250248245250250252248246245243242243246247247247250250249241241240238235229221218221219223220224218223223222224222227226226226226226226225225226226226226226227227226227227227226226227227227227227227227228229229227228228229229229229229228227228228229230229230226222217214214214215215217221221225228231234236236239239239240240240240240239237237236235235234233233233233231232233233234233233234235234234232233232230230227224221218215214217216218218216218219219219217218216218219221220220220221219220223221221222221221221219219220222223225225228228228227228227228229228226225223221221220221217221221217215216216215215216215214214215214214217212212209209210211211210212212210212217218220222222224223226228230231230231231230 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260257258257254255251249248244246247247248243248246999999237233232229231230233234233238239239234237238238240241242241240244248249249249246250250249249246247244242239231229224227229227231241999237242244245253245236999247250999999999999999999999999999999999999999999999999999999999999999999999999999236236234232236238236236238235239245241239239245248249247246245244244244245245244246247244246247246246242243246246246247248250250251248250249247246247244249243248249245249245245252246246249247248251252251251251251250250252251250251251252251252253253253249254253251251252252251255254999255257255258262999999999999999999999999999999999999999999999999999999999999999252252250245243242241243244246249250252256257255256253252251250250254257261264264266267269269270270268269268268270271267270265267266267266266261260259261261257254245242241242242244246245247248247246247248247245245246246245246244246246247247246245245244243243243242242246247248247246248249248248248249249247247248246247248248248247248246245247245244240238238238238237240240237235239239238238239239239240242245247251251251253254253253254254258253253253253254252254253245256251250251248249249248246249251252251245246241245240232230229224220219220219219220221228226224228232227227226226226226226226226226227227228229229229228229229229229229229230231231231230231231232233232232233232231231231231231230229229230230230227226220217216215216216220222223228232234236238238241241242243242242240239238237236236236236235235235234233234233233233233233233234235233233233234232231231228224223218218217218219218218220219218219219220220220220219219220219220220219221221222221220222222221221222223224225227229230231229230227227228229226225222221220220222221218218220215216217216215216217215212214215216213217214211209216215212212215215214216215216221222223225226226229232234233232230230231 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258257254257259257254250249247248247249250250999999999999999238234234236234233234235236234234233235237240240239240239240242246249251248246251250250249250249247246244240231227230233231233235237242248243245247245246249253252999999999999999999999999999999999999999999999999999999999999999999999999999999235235233230231235234236241245246244243242240244246245247248246246245245246246245245243245246246245244245246245243247247249250251250250251247245245246244244242247244250249248249248252252251248252252249249249249251251251250251252253253252250250250250252253254253252248251252252252253253254258261999999999999999999999999999999999999999999999999999999999999999999247249249246244242245248248251253253257259259259259258255252251251253258261266265267267267269270270270268269270270270271268268272272272271269268268265264262262259254248243243243244246246247246247247248249249248247247246247246250247248250248248246246246243244245247246246245253250252249251250248249248250247247247246247247247247249248248248251248245242240239238239237238238238238237239237238237239240243245247248253256257259256259258257254256254254255255255257257258253253252252253253249248248249249252253251248247237233235231229224222223222219219220224224226225230225229227227227226226227226228228229231230230230230231231231233234233234233233233233234234234233233233233235235234234234232233232232232231231231232230228223220217216216218223224226231234236238240242243244244245243241240238238237236235235235234235235234234233233233233233233233235233233233236235234234232230226224222221219218219218219220219220220218219221218219220220219220220222223222221222222222226226226225224225225227228229229231230230228227226225223223222223225224220220218217217214215217215216216214216215216217217218219217215212215215215216216216216218220218221224224228230231232230234234233231232231 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259257257259261259257254253251252251253999999999999999999999999999240237236237240240239238238236236238239237238239240240243246248250250250248251251251250250247247244242238233236238237232233237243246247245244245247254253249999999999999999999999999999999999999999999999999999999999999999999999999999999999234234229237234239243246247248248245244239240241246247247247249247245246245246244244245246246247245244245245245246248251250250250253247249248250250245250245244248249251251248250251252251250252249250250250253251249251253252252251252253251250254252251253254251251251251252251254254256257257263999999999999999999999999999999999999999999999999999999999999999999249248248246246244248250252254253257259260259261260260258255254254255256262266268267267267269270270270268270271271271272273274275274274274274272270267269266264261259255249245244245247248248249249249249250251252250249249247246248248246249252251246245244247247251249249249253253252252252248246253254253255250252249248249254253251248247251251250249245243242239237238237239237237236239240236237235238240243244246250255257259257258257257257255254258253253258257255254252253253252255256254253249251254252257252254248243240236233231226225227223228226224223223228225225230226231228228228227228229228229230231233232232233234234235235235236235236236236237235236237237238237238237238238238238237236235235235235235234233232232230226221220217217220225226229233235238240243244246246246245243241239239238237236236235235234235234234233233233233232232233233233233233234234234235236233230226224224223221219219219221223221221220221220221221221220221222222222222223224221221222225226226226226227227228228231231228230231230229227225223224225224222223224222219219217218216216215218215219219220217217217218219217217216215216217218219218218219222221222225226232232233234235233233234235233233233 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257258258262260261259257256254256254255999999999999999999999999999999999243244245243243242240237236240237235235237243245243248249249250252250250251251251250249249248243241241239238236236238239244246245241241243244246251249252242242999999999999999999999999999999999999999999999999999999999999999999999999231233236238242243246249250249248247246244243245248249248248251249247246246246246247246248247246246245245245244245247248250250250253252248250251249252249248249251251249251250248251253251248252247251251247252251252253253252252252254255251251250250251252252253252248250255255257255255262262999999999999999999999999999999999999999999999999999999999999999999999999248247246246247250252254255258260260260261262260260260259257256256257260267268268268266268270271271272272273273274272275276277275276276275275273271270270267264263259255250247247247248249249249251250250253254253249248248249250249252254253255253247247251252253253253253255257258259257255260259260259252256257256255254253254252252254254251249250247249244244242244244241236240240237237238237241243244249245249255258257257254257255257256258258257257256255252252252252253251249253253251253251253255255257257252246243239236234230229225225224230222227227228227229230229232232229229229230231231231232232234235235235235236237237237239239239238239239239240241242242242242241242243242241241240239239238238237237236235235234233228223221220219223226229231235238239243246248247247245244242241239238239238237236235235235235234234233233233233233232231233233232233234234233235235235233227227227224223221222221224225224224223223221223221220221222223223222223222222222223224224225227228228228229230234235230230232231230230228226226225226224223222223223220220218218217217219217219220222219217217217217219219217217218218221221221219223226224225225226230232232235234237237236236237237237236 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256258259259261260259259259258257257999999999999999999999999999999999999999999999999999999999999999999235234234234237240243245247250249252252251250250251251251250250249247246244241238236239240243243241239238238239240244246245999248999999999999999999999999999999999999999999999999999999999999999999999999999999235241240242247249250250250251250245243243246247243244249250249243248246246248248247246245246249246246244244245246248248249251251248249251254254251249252248251250252254254250249251250250248249249248250249252253252253252253253256256253254999999255257253254254256254257258260259262260999999999999999999999999999999999999999999999999999999999999999999999999999249246247247249250252255258260263263264265264263262263262259258258260263266266268268268270269271273275274274276277277277276277278277278277277276273272274271268265261259256251250249249250250249250255256255256255250251245246249251248254254256256254251253254255256256257259260261259260265264263262264264263261260259257256251251250250250254249255249250247246245245247243242242242239239241241242246248248249255256257256256255256256260258257256253254251253254252252250251248253254254255254251255254255258253250246240240238236234226222224224229220230228226227230226231232233230230231232233233234236238239241241241239240241242242242243243242244243244245246244244245244244244244245243243242242242242240240239237236236235235232225222223224226229231233236239242245248248248248245244242240239239239239237237236235234234234233233233233234233232232232232232233233234235234237236232228229228225225224224224224224225225225224223223224223223224223223224223224223222226226225224227229230231231233233234233230233231231230230229226226226223224224224223222221219217218221220219218217218219220217219217222222221220222223223225224227227227228230228230231231233235235237235237239240239240238 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257258259260260260260258257999999999999999999999999999999999999999999999999999999999999999999999999999999999227232241243244248250250249250250250250251251252249249249248248246244239237237237235235231233236239239239242241243245250251244999999999999999999999999999999999999999999999999999999999999999999999999999241244245251251255253254251249248248248247247246247250247247248244241246248249247245247246247247246245244245245246247249250247248249248254255255248249250252253254254250251255251252253251253251252252252253253252254253254253255999999999999999258258256255257256258260260261261999999999999999999999999999999999999999999999999999999999999999999999999999999999248249248248250252255259261263265266266265265265265263263262261261261263265267266266269272273273274274275277277278278278277277277278277276277276276275274273271269266264260257255250251249251249252254256257256254251250245249251251252253252254258258256256256257257259260261262262262264265267267266266267265260261261259258256257257255255255251252251251254249252248246245244244244244241241242246250249255257257258260257254256257258259256254254254251253254254254252252254254256256255255254255256255256255250250242237235238232228225224225227229229230227228229228226231231232232232233235236238239242241244243244243243244244245245247247248246247248245247245246247245245246245245245245246245244244243242242241239237236236235234227225226228228230232235239242245246249249249248246244242241240240239238237237236235235235235234233234233233233233233232232233233235235234235235233233230228228228227227226225224225227227226225224224224223225225223223223224223222225224223225226228230232232232234234234236235235233235232230229228226226224224225224223221221219219218220220220218217219218219220222220221218221223224225228229230229228230228229233233235234235236236237238239238239239240241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260262259260260260259258257999999999999999999999999999999999999999999999999999999999999999999999999999999999225232241240244248249251249247250250250249249249249250252248252249247243241239237235236232233234233235235233235238243245249245999999999999999999999999999999999999999999999999999999999999999999999999999240243249253255254254254250248249249248248246247249250251248248249248248248249247247248247247247247246245244246246246248247246248247252253254249249251254256254254254253255253251251254255254254254255255255254253253254256257999999999999257259258260259259261260261259260259999999999999999999999999999999999999999999999999999999999999999999999999999999999246252251252253255258260262264265267266267267267266266263264264262262262264267267266267271273274273274275276279279280280279279278279278276276276277275276275274273272269267265262256254252250250250251255255258256257254253251250252253255251252253255254253256256256256258260265265263265266267269268267266267266264265264262256259254257254256254254254253256255250255254247246246245245242243245246247250251256259260261262261258258259258256255255255255256256257256253254254255256257256254253252254255257254251248249245245237236234230227225226228225230231232227232231232233231233233235238238240242244246245246247247249249250249250250249250249250251250249248247246246246246246246246247247247247246245245243244243239239238237237235231230229230230232235238242245248248250251249248246245243242242241240240238237237236236235236234234234234234233233232233233234233235234234234234235233231230229230229229228228226227227227227227227226226225226226225224224223223223223224225228227230232231231235236238236236236235235234231229229226227226224225225223225224221222219221216219217219220221221221221222223224221221225228229230232230231231231231234235236236235236237239239239239239237237239239 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259257258259258258999999999999999999999999999999999999999999999999999999999999999999999999999999999232229231237244245246250250247245247250249248248249249251251250251252250246245246247246245236232232233232232233232235242246246999999999999999999999999999999999999999999999999999999999999999999999999999999999244249253255254254252250248249249248249248249248251251249249249250249248248247250249247249248249247246245245245246247245247247252252253254251256256257257253254254254256256254255255255255256255255255254254256258258258259999999258262262260262258259261259260262263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999247255256257258260261262265266266268267267268270267266265266266265264266267269271272272273274276276276277277280280280280278279279279278277278278278277276275275274273270269267265261256254253253251255253253257258255257251255251255253254252253252253253255259256262262264266268270268266267269270271268268267266265265266266265264261256256255257256255251257255257256256255253250249248245243246248250252255257262262259262260260259259257257256256257256256255256255255255255256256256254254251251255255254255249250249244240237235233228228226225232231230231233230229235235235236235237239242244246247249249250249251252253253253251251251250249249250249248247247246245247246246245245246247247247246246247247246245244242242240238239237235232232232233235238242245247249250252251250248247245243241242241241241240238237237237237236235234234233233233234233233233234234235236236235235235233233231230230231230230229228226226227227227227227228227226226226223222222221222227226228228228228230232234237238237237236236236234233231230229227228227226226225225226224223220222221220221221221220221222222224223224227226225228229232233232233234234233233236235237237237237239240238240241240238239240240 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999231234235238240241246248249247246246249249248249249248249250252251251250248248249248248246240232231230230230232233235239243244247999999999999999999999999999999999999999999999999999999999999999999999999999999245250253255252254252250250249251251251250251251249248245250248251252252249248247246247248246249248247247245246247249247250252252253252255253258259258258256256255252253254255255256255255256255256256256257258258260259259260999999999263261256256257260260999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252258260260262264263263263264266268267268268270267266266267266267267269270273273274274275276278278279280281280280281280280279279278280279278278277277277277277276275273272269267264260255254255254254254256256256257257257256255257256255255254255260260259261257261266269270270272271270271270270269269267266265266265267266266263263265263258260260255255254256257257257253252253253251247246247250251256261264265265262260260258259256257257256257257255255255254255255255254256255250253254254252256255253255249254248245236234234232230231228233233234227235229233232233237236237240240242244246249251252252252252254254253253253252251251250251250248247247246246246246246245245246246246247245246245248248247247246244244242241240240239238235235235236239241244246249252252252252249248247245243242242242241242241240237237237236236235234234234234233233233234234233234235236235235234236234234233231230231231230229229228226227226227227228228227227226225225223224225229228227228228229229232235238237240236237238235235234234232230228227227226227226225226225223222220221223222221221221222224225227227226228230231230230233233234234235236235235235237237238238238239239239240241241241241242242241 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999230236237236239239245248249247245246249248248248249248248250252253252253252251250248246247244235228228228228228229231999239999999246999999999999999999999999999999999999999999999999999999999999999999999999999246251247250256255254254251252251251251252251248248248246250252252251253250248248247250251248250249247248247248246249249252252254250249251255258259259258258257254252255255254256255256256256256256258259260258259260260259260999999999262262261257999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253254260258261264264262264265266265266267267266268267267266267268270269272273274275274276278279280281282282282282282280280280279280280280280279278280277277278277277275274271270269266263259256256256257257260258256258258260263260261259259259258262263263264262267270268273274273273273272271271269268268268269266267265267268268269266267264264264263260257261260258256256254256254250251249249249252256258263264265265263263261259258258256254253254253253253255257258254254253249251254256256249253253255250252253254245242239236233232234232230234231235233236239235235237239240244245246247248250252252253254255254255255255254253254253251251252249248247247246246246245245244244244244245246246246247247247248248247246244242241241240240239237237238240242245246250252253253252251249247246244242243244245243243241238237236236235235235234234234234233233234234234234234235236236236236235235234233233231231232232231230230227225226226227227229227226228226225224225227227229229228228230232234236237237236237236240238235235234233230227227227226226225225226226224224221224224225225225226225226226228230229231232232231233235235235236236237237238238239239239239240239240240240242243241241243244244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999248248250246249999999231234237238238240243246248248247247247248250248248247247248249250254253253254252250247246244240235228228227225227999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246250253256259256255254253254253253252251252249249247248254254253253254251250250249250248248247247248248245249248249250252253251250250252255257259259256258257253254255255255256257257257258257257261261259261262261261260261999999999262260261999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255254256260262264264263264266266268266266267269269268268267268270270273272273275275276276278279281281282282282283282282282281281281280280280279279277276278278278277275275274273271270268265262258257258259260259260256257258261263262262263257260261264265265268270268270270274273274273273273272271272269269269268268267267267266266266266266264264265266266263263261259261260257256257256256252250251254260261263264265264264262260259258256254255255255255254253251250253254252252249250255255256255257256254250253250248244236234235235233234235234232233232235234241239240241239245248250248250252253254255254256256255255255254254253253253251250249249248247247246245244243242243244245244245245245246248248248248248247247246245243242241241240240242241242245247249250254255254252251249247246245243243245245244242240238237236236236235235234235235234234234234235235235234235236236236236235236236235235233231233232232232230229228227225225227227227228227227227225227228228229229230230232233235237238240239239238239238237235235233231229227227226226227227227226225225225225226226228227229228228228230233232234235236234236234236235237237236237238239240240241241241242242243243243246243244245245244 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256251247246246245242241234233236238239239238239243248248248248248249251250249248247248248251251252253254252255252253252247243239233231228229229999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253253256260257258258256258258257255252252250249250249255255255254255252253251250250250249250249249249249250251251251253254255251250256257258260260259259256256255255256257258259259260261261262262262262261261261260260999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257256260260263263263264268269268272269270269269270269269269271272272272273273275277278278278281282282283282283283282282283282282282281281279278280279279278277276277277275275274272270270267262260259258258259258258257258258262262263262261261261263262268269269273273274275274273274274274273272272270270270269269267268268265264264263262261261263262264264261263262261256256257256254257256254253253256257263263264264263262261259260256257257258256255254253254253253253254254252254255255255256255255257255253249250239245243237235236233236236234237235234235237233238242245246247247254252253254254255256257257257256255253253254253252252250250249250248247245243241241241241243244245245246246246247249249249249248247246245244244242242242242243243244246248249251254254254253252252249248246245245243245244244242240239238237237236236235235236235235234234234234234234235235235235235236236235236235235234234233233233233232230229228226226227227227228228228228227228228227229231231231234235237238241241240241240238237236237236233230229227227227227228228228227226226226227228229229230230232230231235233233235237238236236236237237238238239238239239240241244244244244245245244245244244246246245246 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260260256254247247246243242241240239238239239239238238240246247247247248249249249249249247249249250251252253254253255253254253252248245240234235234233236243999240999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252252249258258260258258259260260258260258255251251249250256257256256257254255255253252252252251250253255255252254252254255256251253255258258259260258259257256258259258259259260260260262261262259261259261261261261259262999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259259259262263265265266269272273272271267272272272272272272272272272273274274276277277278280282282282283284283283282282282282282282281281281281279280279278277278278277276275276274273271270266264260260258258258261260260259260263262262263265264266266266271273274275275274275275275274273272273270270271264264271269268267262261265266265265264264264263262264265260261261258263257254256255256257255256256258260264265265263262261260256258259257257256257255249252253251251251254253254254251254255258257257255253247239243240239237237237233236236236236235235236236235238239241247245248256254254255256255256257257257256255254255254254252251250250250248247245242240239238238240242244245246246247247248249249249248248247246246246244244244244244244244245247249251253255255254253253252248247246246245244244244244243242240239238237237236237237236235235235235234234233233236235235235236236236236236236236236236235233233233233229230229229228228228228228228228228228228228229230232234234235236239241241242242242240239239238237236233231231227227228228228229227227228227228228228229230230229232235234231232233234235235237238237237238238240240240239241242245245245246247247247248247247248248247247248 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257260260259256252248247246244238241241240240240239241238238242244246246247248250251252252249250250249251251252253253254254253254254251251246245241241238234238243240252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251255255259261261261260260259259259260260257252251252253257257257258257257257257256255255256250253256256255256255256254257257254255254256258260261261260260259259259259259259259260261261262262260260259261260260258262999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264263262263266267269271271274275275273272273271273275274273273273272274275277278279280281282282283283284283283283282282282282282282282281281281281280279278277278278277277277277276274272269269266262261259260259260261260261262261263265265266268269269270271275276272276276276275276275274273273272272271267267268268268268267267266266266263267266265264263263264264262265265261261262258257259257256256258261262261260264263260260259259258259258258257257256255254254253253252252254254254252254254256257255252247246242240240240236236235237233235238238236239238237239241241243243253256259254255255256257257256256256255254254254253253252252251250249247245241240238238238238240242245246246247248249249250249250248248247247246246245245245244244246246247250251253255255254253252252250248247246245245245245244244243242241239239239238238238237237237236236236236235237237236236236237237237236236236237236236236236235234234233231229228229229229229229229228228230229230231232233235237236237238242242242243241241241241240239238236234232231229227228228228227228228228228228228228229229230229233234232234235237237236236238239238238238239241241241240242244245246247248249249250251250249250251250249250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999258258259260256254251248248250243244242243242239239238239242243246247247248249250252252253250251252250250251251254255256254253253253253253252250246243239238240242246252999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252254256258259256260260260260259258259259255254252253257258258258258259256258258257260260257258257256258257257258259256256253254258258259259260261261260260259259259259260260260261261260262260260260259260260261260999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264267265264266268270272272273275276276274273273273273274273273273274275276277278280282283284283284284284284284284284283283283283282282282282282280281280279277277276277278277276277276274273272270268265262261261262262261262263264264262265267269270271274276276277277277276276277277275275273274272271271269269267268267267267267264266264263265266266265265264265266266264265264263265264263255258257257256259261260259264264263262261260258255255256255256255255252252254253249249251252254255255254253253250251246237241240240240237237236235237241235235234236237240240241249250251250249252258256256256257257256256256255254253253252251252252251251250247244243240238238239239240242243246246247248248249249250250250248247247246245246246245245245246246248250253254255254254253253252251249248247247246246246246246245244243242241240239240239240239239238238238237238238238238237237237237237237236237237237237237237237237236237234234232232230231228230230231229230230230230231233233237237237237241243243244244244243242242240238238237236233232229228228227228229229229228228229229229230229230230235237236237238238240240239239240240239240241242242241242243245247248250250250251251251251250251251251250250 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260261260257257255253250252249250246245246244244244245242238241244247248250249250252253255255254254253251256253254254253255255255255254254254254252253250244240239240241245249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999250253251257259259259260259260260258259259255256256259259259259259259260261258259256260260259259259258259258259256256255257256259261259261261261262261262261261260261261259260260260261261260263262262262260261999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266265265266268270271273273274276276276275275275275276275275273274276276278280280282284284285284285285285285284283284284283283283282282282281281281280280278278278278278278277278276276276274274272268266264264264264263264266266267268268267269270272273274278276278275276278277277277276275274271273271270269268268268266268266266265264265263264264266265265264266267267265267266265266266264258257257257256259262261262263262262261260259256256256256254254254254253253256254252252250252257255254249251253251245239234235239240240241238238240239237234236234242242242245248251252255255256258261257257257256257255255254253252253252251251251251250248246244242241240239240240240241243245247248248248249250250250248249247247247247247246246246247247247249251254255255254254254252252252251249247247247247247247247247246245244244242241242241241240240239240241241240240240238237238238238238238238237237238238238237237238238237237237234234233232231229230231230230229231228231232233233235237238238242244245244243244244243243242241240238237234233231228229228229230230230229229229230230232232232236236238241242242240239240241240240241240241242242242241241244245246248250250252252252252250252251251251251251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259259258255254253252249251250249247248247244244243244242244243246247248249250253255258257258257257256255255256254255255255254257257256254252252252254251245239238239244247250248999999999999999999999999999999999999999999999999999999999999999999999999999999999999251252255253258259260261261260260260261260261262261262261260260260261262262259259258259258260259260260261261261259999999262260260261260261262261262263262262262259261262261260259261262263263264263262262260999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269269268269269270271273274275276276276275275276275276276276275277279280280281283284285284285285285285285285285284284284284283282282281281281280281281280280278278278278278278278278277276276275271269268267265265268265266268268269270271270272272276277279279279278278277277277274276275273275275273272269269267267268268267266267267265266264266266267266265264265266266266266265265263263263259257258260259261263262263263263261261260259258256256254255253253252255254251254255255250254256249254253254254248239232240234239240241240238238237237232236238235236238242250252256257259257260261260258257256256255254253252251251251251250250250248247247246241241240241240241241241243246247248248249250250250249248248248248248248248247247248249249249250254255255254255254253253252252252251248248248248249249248248247247246245245244243243243243242241244243243242241239239239238238239238238238238237238237238237237237237238237237237236235236233232231231232233230231231230234235234234237238239241244245245246245246247245244242242241238238236235232230229229229230230230229230230230231232233236238239240240242242241241241241241241241240242241242243242243244245246249251253253251250252251251252252252252251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264999999999999258258257256255254253252251250249251249248243245243244246243245246249249251252254255258258258257256256258257257255254253254255256256256256254255254253253246244243244246249252251999999999999999999999999999999999999999999999999999999999999999999999999999999999999253252251251253260262262262261261262261262262262263264263263263263262264263261261260260262262263263263263262261259259262263263262262262263262262262262263263262262259260260260260261262263263264265265263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273268269270270271272273274275276276276275274276276277277278278279279281282283284284285285285285285286286285285285285284284283283283281281281281281281280279279278278277278277277277278276276275274273270269265267268269270269272271273272275273274277278279280279279279278277276273275275273274274273271270268267266268268267265266265267263266266266266266265265265267266267266267264264266265262261260260263262263263263263262260260260259257256256255252252254255255252254253255257255251252253255252253251247243241240239240240239239241238240240240244245242245245241249247258258260258263261262258257256254253253252251251251252251250250248245245245244242241241242241242242243246247247248249249249249248248249250249248250248248249248249251252254256256255254254254253252252251251251250248248249249249249249248247246246245246245245244244244245244246245245244241240240239239239238239239239239238238238237238238238238238238238238238238237234233233233234235235233232233239235236237237238240243246247247247246246247246245244243243241239238236234232231230229230231230231231231232233233234236238239240240240241243242240242241241241242242242243245245245245247248248252253252252252252252252252254252253251 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264256254254258258258258257257256254254254254255251249247247246245246246247248248249252255254255257258257257258258258258257257255254253254254254252253253252254256254252249251247247246250252249246999999999999999999999999999999999999999999999999999999999999999999999999999999999252254252252253259263264263262262262263263262263264264264264263263263263264261260260262263264265265263264263261259260262263264264262264265264264262262260260259259259261261261261262263263263265267266999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270269271270270271273274275275275275276276277278278278279280282282284284284285285285285285285286286285285285285285285284283282282282282281281281280280279278278277278278278278277276275275274276274272271268269269271271272274271273274277275278278279280280276279278278277276276275273273272273271269269268267268267267265267265265266265265265264265265265265264266267267266266265262261261262258259262264265264266264264262261261260259257255256256253254252256256256255254256257256254256255255253252248242239238242241239239239239240242241241242245242244248250248252254255259260261261261261258257255253252252251252251251251251251250247245244243243242242242243242243244245247248249249248248248248248249249249249250250248249251253254255256256257255254254253252251251251251251251248247248249249249249248248248247247247247246246245248246248247247247244244243242241241241241240241241241241240239239238238238238238238239238239238239239237238235236237235235235234235235236237237239240242244246247247247247247247246246246244244242241238237235233233232230231232233233232231232232233236236239238238241241241242242241242242242242242242244245246246247247248249250252252252253252252253253253253252252252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257257256259260259259259259258259257257258259259253250249248246246247247248249250252255255256257260259258256261260259257257256255254252255255255253253252251253255258255253252251247247250253253999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999254252254258263263263263263262262263263263263264264263263263263260261260261262263264264265264265265264264262261261263263263263264264265265263262261260259260260259260260260263263263265269269266999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268270270271272272272272273274274275277279281282281281281283283284285285285285285285285285286285284284284284284284284283283282282281280280281280280280278278278278279277278277278277276278277278277276273271271272274274275273274278277278279276280279278278278279276277277277276275274273272272271270270270268266266266265264263264265265264264264264263265265264266266266267266265266265265266266265266266265264266266264262262262260259256254257256255254257257257257257257258258257255257256256253253245241238239238239239240240239240239242242241241244249250252252256257259259264262261262261258256254253252252252252252251250250249249246245244244244244243243244244244245247248248248249249248247247248249249250250251252251252255256257257258258256255253253252251251251251251252251248248249250250250250249249249248249248248248247248250249248247246246246245244244243243242242241241243243242240240240239239239239238239238240240240240240237237239238239240239239238238239239240239239241244246248248247248248247248246245245244244243242241240239237234234232233233235234234233234234235236238240244242242241243243242242243244243242242244245245247246248248248249251252251253253252251253253252252252252252 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999255256257258259260259260260260259259260259260260259256251250249246247249250250250252253256258258258258259259259258257258257256255255254252251254255255255254253254254257254254252252249248249251255256254999999999999999999999999999999999999999999999999999999999999999999999999999999999256255253255258262258262261257260258263263263263264263262263259259261262262262264263265265265265265265265263263264264263263263263265265266266264262260260261259260261260260259263263264268269270271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270269269271273271270273275277279280282283283284283284284284285284284284285284284284285285286286285284284284284283282283282282281281280281280278279279279279279279279279278278278277277278278277276275274274274275274277277278278277280276277277278277277279279278278277275276275274272272272269271269267268266265266264263264264264263263264264263263264266266266266265266265266267268268267268268267265266266264264262262263262260258255254256257254258257258257257254257256257256256256256254252248243241240239239239239241239240241242241241241243248251252254256260259262262262261261261259258256253252252251251251251250249248248248246246245246244245244243244244245246248248249249248248247246246248251251252251250252253256256258259258256255254255254253251252251252251251251249248250251250249250251250250250250250251249252249249251251250248247247246246245245244244243243242242244243243242241240240240239238238240240239239239240240240240241241240240240240240239238239239239241243246248248248249248249248247246245245245246245244243242240240238237237236236236236236236236235236237238239239240242242243242241242242243244244241244245246246246248247247247249251252254253252252252252253253253253253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999256255257257258258258259260260261260260261261262261260259254249250249249250250250252253255257256257257257261260259259258258258258256255254254255254256256255254253255255257257253253251249249251252258254999999999999999999999999999999999999999999999999999999999999999999999999999999999999252251252256257257258259260259258259264263262262262262262258258260262262262263263264264265265264265265265264265264264265265265267267266263261267263262260260254258261261999999262262266270272272274272999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270268267269271272275277278281283284285285285285285284285284285286286285286286286286286285285285284284284284284284283283282282281282281280280280280280279279278279280279279278279278277278278278278278278277277278279279279279278280277277278278279279278277277278277277276274274273273272271271270270268266264266265263263263263264263264263263264263265265266266267266266266265267268268267268267267267264266264261263263263261258256256256258257256259258258258256256255256258257257256254251249246240239240240239240240239240242241242240242243247251253255258261260263263263263262261260259258254253252251251251250250249248247246246246246247246245245245244245245247248248249250248247247246246247250251251253253254256258259259259258258255254254253252253252251252251250250251249250250250250250251250250251251251253253253253253251252252251249249249248247246246245245244244243243243244243242242242240240239239239238240239240240240240241241241241241241241240240240241239240241243245248249250251250250249249249247246247247246246246245245244244242240240239238239238239238236237237237238238239241242241242243243243244244245245244245245246246247247247246247249251252253254252253252253253253253254253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999257255255258259258257259259260259260260261261261261261261257254251251250251251252252253254254255256258258258259258259259259258258258257257257256256256256256256256255255254255254255253250249250253255999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999251249249255259260260260260259258263262262262261261260259260261261261262263264264265265265264263263263264262263265264267267264264266264261263264265264999999999999999999999999264265267269270271275999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281283999999999999999273272272267268270273277280280282282285284285286287286285286286286287287287287286287287287286286285285285284284283284284284283282282281282281281282282281281280280280280280280279279278278279279279279280280279280279280280280281278279278276278278279279279279278276274277277276274274274272272271270270268267267265265265264264264264265264264264264264264265266267267267267267268268267268268268268268267266266264264263262263262260258258258257258257256259258259256257256257257257258257256255254250244241240239240239241240241240241242241242244247252254256259262263264264264263262260261261259257255253252251250250249249249248246246246247245245246245244245245246246248249249249248246246245245247249251252253253255257258260261260259257257254254253251251252251251251251250250249250250250250250250250250251251251252252252252252253251252254251251252251251248247245245245245244244242242242243242242242241242240241241240240241240241242241242242243243243243242242241242243242243243245248250250251251252251250250249248247247247246247247246246246245245243242241240240240239238238238238238238239240241242242242243244243246245245244244245246246246246247247247248249251252252254253253253253253253253253253 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999260260259258256256258259259259260261260260259260260261261261261260256253253252251252252253253254255255255256257258258259259259259260259260255257257257257257258259258257256257257255254253252253251249251256259265999999999999999999999999999999999999999999999999999999999999999999999999999999999999999253250254257260263262260260259259258263262262261261263262262262261262263265265264264264263263261260261262999999999266267266262264265264999999999999999999999999999999999999999264999267270271999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280279280999999999999267267268267268271275278281282285286286287287287288287286286285286286287286287288287287287288287287286286286285284284284284284283283282282282281281281282282281281281280280280280279278278279280279280280280279280279280280280281280280278278279280279279279278278277277277278277275274274274274272272271270268268267265265265265264264265265265265264264266266266266267267268268268267268268268268268269268266265265264264263262262262260260260259259259258256259258258257257257258259259259258256255253249246242240241241241242242241241241242243245248251253256260264264261264263264263262262261260259257255253252251250249249248247247246245247248247245246244244245246247248249248249247246246247247247248250251253253254256260261262261259258257255254254253252251251252251251251252250250251250250250249249250249249249250249250250249250251253251253253252251251251250249248247246245244244243243243243244245245244243243242242242242242242242243244244244243245245243243242243244243243244247250251250252251252252251252251250248247248248247248247246245246246245245244243242241242242240240240240240240240240242242242242243244244244245244245245245245245245245245247247247249251252252254254254254254254254255254254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259259258258256257257259260260260261261260261261261261262261261258255256255254252254255255255254255256257257258258259260259260260260260260258256259257257258258259258257255255258256254255253253253253257261264999999999999999999999999999999999999999999999999999999999999999999999999999999999999999252253250256258260263264264262260260263262263263262263263263263265263264263265264264264262263261260999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283279279999999999999262264264269271274277281282281283285287288288288287288288288287287288286287287286290288287287288287287286285286286285285284284284283282282282282281281281280279281281281280280279279280280280279280280280281280279280280279278280280280279282281279279279279278277276276277277276275274275273274272272272271270270269267267266266267266266265265265266266266267268266266268268268268267267267268268268268269266266265266266265264263263263262261260260259260255259259259256257257259259259258257257256254254250247243241240240242242242241242242242245249252253255259263264265264263263264263261261261260259257255254252251250249248247246245246246246248248246246245244246246247247250249248248247247247249248249251253254254257260261261261260259258256256255254252251251251252252251251251250250250250249250250249249248248250250250251251249247249250250252252252251250250250250249249248247246245244243244245244246246244244244244243243243244244244244245244245243245244245245244244244245246248249248249250252252251253252251250249248247248248248247247247247246246246246244244245244243242241241241241241241241242242241241242243243244243245244245245245245246246246246248248248251252254254255255255254254255255255254254 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259259259258258257257257258260260260260261261263261261262262261261260258256257255254255257257257256257258258258258259260260259260260260260259257256256257256257258258258257259259259256253252250251254256259263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999246248253253257259262261264260262261263263264264263264263264263262261264264264266265265265264264263260999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278279999999999999999264263265270276280284285285284286287287288288288289289289289289290289289289287287288290288287287288287287286286286285285284284283284282281282281282282280280280280280280280280280280281280280280279279281279279280281280278278278279280280280280280279278279277277276275276276275274273273273272270270270270270269269268267267267267266266265266267266266266267269267268269269269269269268269269269268267266266266266266266265264264263263261261260260258256256260260259257259258259258258257258257257256254251250247245244241241242242244245243246249252255255258262264265265262263263262262262259261260259258256254253251250250249248247247246246248248248247247245245246247248249249247246247247248248249251251254255256260262262262261260259258257256255254254252252252252252251251251250250251250250249250248247247248248248249248249249247248248250251251251250251251250250250249249249248248246247245245245245247246246246245245244244245245245246246246244246246246247245246247246247249250250249249251251252253253252252250250249248248249249248247248247247246247247246248247246245244244242243244243243243243243243243243244244244244244245245245246246247246247247248248250250251253254255256255255255255255255255255255 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999259260259258257256256256257259259259259260261262262262262261261260261258257257256256254255256257257257258259258258259258259260260260260259258257256255257257256258259259258258259260257253252251250252252256260258999999999999999999999999999999999999999999999999999999999999999999999999999999999999248251254256257260262263264265264264264264265265265264263264264264264264263264264264265265266264264999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282279278278999999276999999999999999265266271277284285286286286286286288288288289289289290291291290290289289289289289289287287286287287288287287286285285286284284284283282281283282281281281281280280280281281280281280281281281281281279280281279279279279279279278279278278279279278277278277277278277276275276275273273272271271271270270270269269269268268268267268266266266267267267268268269268268269268270270269269269269269268268267267265266266267266264264264264263263260259258260260259259259259259259257259257259258258257258257255253252251248245245244243243245246249251253254255258261263263264264263263262262261260262262260260258256255253252252251251251250248247247248249249248247246246246249249249248247245245248248250251252253256257260263263263263261260258257257256255254253252252252252251251251251250250251251251250248247247247247247247248247249251249249251251251251251250250251250251250249249248249248247249246245244245246245247246246246245244246246247247246247246248246247247247245248249248250250249249250249251251252253252250250250250248249249250249249249248251249250249250250249249248248247246247246245244244244244245245245244244244244245245245246247247247247248247249249250251252254254255256255255256256256256256256256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263261260259258257256256258259259259259259261262262262262261260259258257258258258257256257256257259258258260259261260260261260261261257260258258256256258258257259260258259259260258256252251249247251254255258256999999999999999999999999999999999999999999999999999999999999999999999999999999999999256257259260264264265265264264264264264265264265265264264263264264264263263262262262265266259263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281278278277999276999999999999999263267273280285287287288287287287288288288289289289289289290290290290290290290290290289287287287287287287288286286286286286284283284283283282281282282282282280280280279280280280281280281281281281281280279280280280279279279279280279279279279279278278277277278278277277276276275272273272272272270269270270270270269268268268268268267267267267268268269269270269269270271271271270270269268268268267267266267267267267266266264264263263263261258261260261260259259259259259257259259259258258259258259257255253253251250248248248247248249252254255255259262262264264263264264264263263262261262262262260259257255254254253253253252251250249248249250250249249248248249249249249248247247248248249251252254257259261263264264263263260259258258257256255254253252251251251251251251251251251251250250249248247247247247246247248248249250249250251251251251251249250252251250250249248249249249248250249247246247246246245245245244245245246247247246247247246248247247248248248249248250249250252251251252254252254253252251251251252249251251251250250250251251251252251251250250250250251250249249248247247246246246246246246246247246246246246247247247247247247248249249251251252253254255256257256256257257257257256256256 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268266265262261259258257255256258258258258258258259261262262261260260259258258258259257257256257257258259260261261261260261262261262262261261260260259259259259258259259258260259261262261254251250248245249252251251251999999999999999999999999999999999999999999999999999999999999999269269264261261261259260263264265265266267266265265265264266266266265265264264262265264263262260264264264264264261999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284999999999999999999999999999999999999999999999999999282278278999999280280279279277277276279999999265264270276280284287288287287288288288289289289290290289289290291291290291290289289289289288286287286286287285287288287284286286286285284283282281281281281281281282280280280280281281280280281281280281281280279280280280279279280280280280279278278278278278278277277276277277276275273274273273272271271269270269270270269269268268268268268268268268269270270271271270270270271271271269268269268268267268267267267267267266265264264265265263260263262261260261261260260260260260260260259260260259259260259259260258256254253254253251252253254254254256259262264264264263263263263264264263262262262262262260259257256255254255254253252252251250249249250250250250250249250250250249249248248249250251252254258260261263264264264263262260259258257256255255254253252251251251251251251251251251251249249247247247246247247247247247247248249251250250251250250250252252253252250249250250249248249250250250249248247246246248245246248247246247248248247249250249249249249249249249248250252252252253252253253253253255253251252250250250249252251251250252251252252253253252253252252252252251250251250250250249249249248248248247247247247246246246247247248248248249250250251252253253254255256257257256257257257257257257257258 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268266266263262260258257256255256257257258258259260260260260260259260260258258259258260258259261260259261261261263262262262262262260262262263263262262260260260260261260261260262264261259254250249244244248252256250250999999999999999999999999999999999999999999999272273999999999267270267264262263263265262264264265267267267265265266265266266266267266265266266265266265263260264263263263264999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277999999999999999999999999999999999999999999999999999286283283999999999999279280281281279278999999268269272277281285287288287288289288288289289289289289289289289288290290289289289289289289289289288288287288286287286287286286286284285285284283281280280281281282281282282282282280280280281280281281280281281280280280280280279280280280279278280277278278277277277276275277277276276276275274273273273271269270270270269270269269269268269269269269269269271271271272271271271271271271270269269267269268268268268269267267265262263265265265265262261264263262261258261261261261261261261261260260260260261260260259259261257256256256255255254255255255256259261263264264264263262263263263263262262261262261262260259257256255256255254253252251251249249249249250250251250250250250250250250250250251252252256260262263264264265264263262261259259257256256256255254253252251251251252252251251251250249249247247247246246246246246246247247247248249250250250250251251253253255253255252251250250249252252251251250250249249248247246248249249249248250249250250249250249249249249250250252254252253252253254252255255253253252253255251252250252251251252252252253252252253252253252253252251251251251252252251251251252251251252251250251250248248248248248249250250251252253253253254254255256256256257257257258258258258258258258259 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268266266266264260259258257255254257258257259259260260260259259259260259259258258258260259260260259259260261262262262263262261260261263264263263263263261261261261260260260259264265260259251248245241240244249253254249249249999999999999999999999999999268999267999270270271274273268999999262263265267268266266266268268267267265267268268267267267268268268266267265266264264259259263263263999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286284289278999999999999999999999999999999999999999284283286284284999999999277280283281281281279275275275277277281283286287288288289290290290289289290290290289289290290290290290289288289288289289289289288288287285286288287287285285286285284283282280281281282281281282283283281282281280282280281281281280280280280280281280280279280280279279279278280278278277277277278278278277275275274274275273271272270271270270269270269270270270269270270271269270271271272271272272272272271272271270270270268269269269268269268268265266266265264265263262265265265264263260260259260261261261261261261260260260261261260260260259259258259258256256257255256256257260261262262264264264264263263262263263262261261263263262261260258257256256255254253252251251250249250250250251251251251251251251250251251251252255259262263263264265266264264263262261259258256256256256255253253253252251251251251250251251249249248247246246246246246246246246246247246247248250251252251252253253254254255254253254253253252252252252252251250250250250251250249250250250251250249249250251250251250250251252253255255254254254255258258256256255255253253254252251252252253253254254254253253253253253253252252252252251252252253253253253253253253254254253253253252252252251252252252253253253254254254255254255256256256257257258257258259259258259259259260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267265268267262260259257255255255256256258259259259259259258259258259259259258259259260260260260260261261262265264263263263263262263263264264263265263262262262262262261260263262263255254250246248241239242245247251248248999999999999999999999261266275275999273272272999270272270266260259263264266268265265266267268268266266267268268268267268269269269266269266264266265263263261258254999999999999999999999999999999999999999999999999999999999999999999999999999283284284283999999999999999999999999999999999999999999999999999999286285999282282283278267999999268999999999999999999285285282285286999999272277283285999278280281281281283284284287287288289289289290290290291291289289289289290289289289290290289288288288286288288286288288286287287288288287287286285285284283283282282282281282282282282282283282282282281282283282281281281281281282283282280280279280279279279279279279278279278277277277278274275274276275274273273272272272270270270270271271271270269270270270270271270271272272272272272272271271270269269268269268267268268269269269268268268267267266263266266266265264264263261260260258261260260261261261260261261261261260259261260260259259258257256256257255258260262261263264263264263263265264262263263261262261261261261261260258258257256255254253252252251251250250251251251251251251251251252252254254256258260262263264265266266265265264263261260259257257257257256255254254253253253252252252251251251250250249248247247247246246247246246247247246247248250252252251253254254254254254253255255255254254253252252252253251251251252252251252250250251251251250250249250250251251253255255255256256258258258258257257257257256254251253251253253253254253253254254252253252252252252252252252252253253254254254254254254253254254253254254253253253254255254254254254254254255255255255255255255256257257258258258258259259259259260260260260 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267263262261259257257256255257257258257258258258258257258260258259258259259261261260261261261262264264264261263263264264263264265265264264263261261262262262262261261262259255255244245245242238237247247247249259253999999999999999272263999999275274999273268270270270268266265261264265268268265266267999267268266266268267266268267268268268267270269266265266265263264999999999999999999999999999999999999999999999999999999999999999999999999999999278280278283282281274999999999287286278999999999999999999999999999999999290287284282282999999999999999268999999999999999283285285285284285999276275283287287285283282283284285286286287288288289291289290292291291290290290289289289289289288287287288287287288288288287286287287287287285287288286287287287285284284283282283283283282283283282283283283283283283281281281281282282282281281281281281280278278278279277279278278278277278278277275276277277276276275276275274273273272272272271271271271272271271270270270271271271271272272273272272272271272269270271269267268269270270270269270269269270269269267264267266266266266265261263262262263263263262262261262262261262260260260259260260261260259258258258257257259261262263263264263264264264265264264263262262261261260260260261260261260258258257256254254253252252252252253254253253253253254254255255256256257259260262263264265266265266267266265264263262260259258257258257256256255254253253253253253252252251252252250249249248248248247247247247247247247247248249250252253252253255256254254254253254255256256255254254254254253253251252253254254251252250249252251251252251251251253254254255257257257257258258259259257256256256257255252253252254254254254254253254254253253254253254253253252253253253254254255255255255255254254254255255255254255254255255254254254255255256256256257256256256256257257258258258258259259259260260260261260261 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999266264263262260260259258260257257256257259258259258258258262261260260259261262261261261261263264264264262264265265265265264265265264264263261261261261262262257260263262255253240241241237238238237246247250999251999999999999268261999999265271270270269270271271270265269267268269269267267265263999999266268268268267268268269269268268267270269268266265265267263999999999999999999999999999999999999999999999999999999999999999999999999999275276278279282283283278276999265271281286278999999999999999999999999999999999999289284281275270270272275276276276276275278279282283285284285284286284284288289285286286285284286287288288288289289290290290292292291290290290289289289287288287288288288288287287287287287287285284285288286285287288288286287286285284284282283284283283282282283282283283283283283283282282280282283282282282282281281282280280278277278278278278277278277278277278277278277277277277275275275276275273273273272272272271272272271270270271271271272272272272272272273272272271270271271271271269269271271271269270269270270269269269269268267266265262262263264264266264263263263263262262262262261261261260259260259260260260260259260258259260261262263263263263263263262264264263263263262262260259259259259259260260259259258257257255255254254255254254256256256255256257257257257258260261262263263263264265266266266266266266265264263262259260259258258257257256255254254254253254253253252252251251250250249248248248248247246247247247248250251250250251253253253255255254254254254254255256256257256255255254253253251251252253254251252251251251253252251252252252253255256256256256257259260259258258258256256258256254253253254254254254254254255254253255254254254254254254254254254254254254254255255256255255255256255255255255255255256256255255256256256256257257257257257257257258258259259259259259259259260260260260261262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999263263262262262262260258256255257258258258258258258260260261259258261262261260260261262262263264264265266266267267266266265264262261262262262262262260259257259258254252247238237238239238238999999999259999999253255259265260262267999268269272267267269269270270270267267267266268265266268999265266268269269268269270271268268272271270268268267266262263999999999999999999999999999999999999999999999999999999999999277277275273999273272271274279282284285283999271271270278292999999999999999999999999999999999999999999999280277275275278280283282282277282284283284285287287288287287288289288288282284285286287287289289289289290290290291292292292291290290290290289289290289287287287287287287287286286287287287286286286287287286286286285287285283284283282284284283282282283282283283284283283283283282282281282283282282282281281281281281278277277278277276276277277278278277278278276278276276276277276275275274274273273273272272272271272271271271271271272272271271273272273272272271271271270270271269269270271272270270268269268268268272270270269267267263266264266266266267266266265264263262262263263263262262261260261259260260260259259259260261263263263262264262261263264263264264264263262262262260260260259259260259259259259258257257256255256257257256258258258259259258259260261262263263263263263263264266266266266267266266266265264263260260259259258257257256255255254254254254254254252252251251250250250249248248249248248247248248249251252251251251251252254255254254255255255254254255256257258256255253253253254252253253252252253254253252252251253252253253253254256255257255255260260259259259258257258257257256255255254254254254254255256255254254255254254254255255255254254253254254255254255254255256255255256256256256256256256255256256257256257257257257257257257258258258258259259259259260259261260260260260261261262 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264262258259258257259261261261262262262261261260260261263262262260262262263264264265265267267268267267266266263262262263260263261259257256260263259253248249246242240235232237243246250254252255253255252256258263264266267267270268269270268269270270270270266269269269269269270266270269269270270271271272272272272272271268999999999999999999999999999999999999999999999999999999999999999999999276278277276274271999999999999999280283284278999999268274999999999999999999999999999999999999999999999999999283279279280281281283284285279285285285287286285287288287287288287288287285283286287288288289289289288289290291290292291291291291290290290290290289289289288287286287287287285285284284286287287287286286287286286285285284284283283282283284283283282283283283284284284283283283283282282282281283282282282282281281282280277276277277278277276276277278278277278277277277277277277277276276275274274274273274273272272272271271272272271271272272270272272272274272272272272271271271271271271272272272271270272272272273273272272271270268265265266265266266266267268267266265264262263264264264263262262261260260261261260259260261262263263262262263263260263263263264265265265262262261261260260261259259259259259259259258258257257257258258257258259260261260261263264264264264263263263263263263264265266266266266266266266265264262260259259258258257257256255254254254254254254253252252251251251251250250249249249249249249249250252252252252253253253253254255255255254255255255255255255256257257256255254254255253252252251253253253252254252253254253253254254254255255256254256259261259260259259258259257258257256256256256255255257256255254255255255255255255255256256254254254254255255255254254255255255256256257257257257257257257257257257257257258258258257258258258258258258259260260260260260260260260260261261262263 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999265263261259260261262263264264263262265263262261262261261261261261261263263264265267269268269269269268266266267263263264263261262261259258256261258258252248247243239239239248247249248245249249248249250255257260262262266266266266266268269270270270269269270269270270271999268269271271272273273272272273269271272273272269999999999999999999999999999999999999999999281273273999999270275999276275275278286276999999999999999999999278278273999999270273279999999999999999999999999999999999999999284284283282283285286286286286286284283289290290289287287287287287285286287287285287287289289288288290289290289291291291291292293292291290290290289290290290289289288287287287286287285285284285286287287287286287287287286286286286285283284284284285283284284284284284284284284284285285285285284283282283283283283282281281281282280279276276278280277279279280279276277278279278277278277276276276275274275274274274273273273273272272272272272272272273272272273273273272270273272271272272271271271272272272272271273272272271269269269270269268267267267266267267268269269267267266265265264264265264263263262261262262262262260262261262263262262262262262262262261262262263264265265264262262261261261261259260260259259259259258258258257258258258258259260262263264265265265264264264264264263263263264265266266267267267268267267266265262260259259259258258257256255255254254254254254253253252252252252251251250250250250250250251252253253253254254254254255255255255255254255255255255255255255256257258257256256255254253253252252253253253254254254253253255255254254254254255255255256260259260259261261261260260260259258257257257255257257257256255256255255255255255256256256256255255255256256255254255255255256257257257257257258258257257258257258257257258258258258258258258259259259260260259260260260261261261262262262264264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264262263261261264264264265266266266264264263262261260259260261261262263262263265266267268269270269268267266264261260264260260261260261262261259258251248247245246246245244252256257255252243247248253256258258260260262263265267266267268271271270271270269270270270271272999270272272272274274274272273273272271271271271269999999999999999999999999999999999999999278281999274999269267269279276279279282286290999999999999999999999999999268272276275280283999999999999999999999999999999999285284283285285286286288288288290288287290289290289289287287287287288288284284287287287288289288288288290289288289291291291291292292291290289291290290290290290289289288288288287286286285285285285285286286287287286286286287287285286284285282284285285284284285285285285285283285285285286285285285284284282282284283283282281280281280280279277277277278280280280279277277277277279279279278278276276276275275275275274274273274273273273272272272273273273274272273273273273273273273272272272272271271272272272272271271271270270272270271271270270270268267267266266266268270269268268266266266265265265264264264265262262263262262262263263264263264265266266265263263261262263263264264264265265264262262261261260260260258259259259258258257257258259259259260262264265265265265265265264264264264263263263264265267267268267267267267267267265262261259259258258257257256255254254254253253253252253253252252251251251250250250249250252253252253254255256256256256256255255254254256255255254255256256256257258258259258258257256256255255255255255256254255254254253254254254254254255254255256257261260261261261261260261261261260259259258257257257257257256256256256257256256256256256257257257257257256255255255256256256256257257258258258258258258258258258259258258259258259259259259259259260260260260260261261260261261262262262263264264 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264262263263264264263265263266264266261264262261260260259262262263264263264265264264270270269267268265267265267266265263262256257261262257259258254252249252254253253254261263261259255248251252256259259261261259265264266267268269269270270270271272272272270273273272269272273275274274274274273272271271270269269270272999999999999999999999999999999999999999280281276270270268268999999283283282283285999999999999999999999999999999269271277280278279999999999999999999999999999999999284284283285287290290290290292289289290289291291289291289286286288288287288288287288288288289289289290290290291291291291291291292292291290289291291290289289290289288288287287287286286285287287287287287287285285287286286286286286286283283283285283285285285285285284285285284285287286287286285285284284284284283283283283281281280279278278279278277277278280280279279278278279279278279280279277277277276276276275275274273273273273272272272272273274274274274273274274274273272272273272272272271272270272272272271272271271270271270272271271270270268265267267267268270270271270269268266266266265265265265265265264263262263263264264265265265266268266266265264265263262262262262264264264264264263261261261260259260260260259258258258258258258259259259262263264264265265265265266265264264263263263263264265267267267267267267267267265265261260261260258257257256256256255254254253253253253253253252251251251250250250250251253253254255256257258258258258257257257257256256256257258258258256256256257260258259260259260260259257255255255255255256255254254254254254255254254255255256257260260260260261260261261262261261261260260259257258257257257257257257257257256257257257258257256256256256256257257257257258258258258258258258258258258258258259258259260259260260260260260259259260260260261261260261261261261262263263264264265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999261261265264264265267266262263263264266265264263261259259260261264265264265263265266269270266268269265268269268268265262260258258258258259258256255253255257258256255257262266262254258257259259261262262263264264265268266268268270270271271272272273274275275275275275274275276275275274273273271270269268266267269999269270271272999269270276275279277999999999272279272263264266999999999290999999999999999999999999999999999999999999999275277278273999999999999999999999999999999999284286286287288290291291291291291291290290290291289289290290287287288289288288288287288288288290290290290290290290290289292292292292292290290290290290291290289289290288288288287287286286286286287284285285287285285287286285285285286285285286286285286286286285285286285285286286286287286286284285286285285285284284284284281280280280279278279279279278278279280280281280280279281280280279279279279277276276276276275275274273274274273274273273273274274275274274274274274274273272273272273272271271271270272272272272271271272273272272272271270269269269268267266267269270271272270270269267267267266265265266266265264264264264264265265266266267268268268267267266265264262261262263263266265264265264262261260260260260261260259258258258258258259259260261264264265265265266266266266265265264263263263263264266267268267266267267267268268265262260259258257257257256256255255254254253253254253253253252252251251251251250253254254256258259259259259259258258257257256256256257257257257258257256257257259259260261262263263262261259258258256256257256255255255254255255254254254254256257259260261261261260261262261262262262262262261260258258257257258257257257257257257258258259258257257257258258258258257257257258259259259258259259259259259259260259260260260260261261261261260260260261261261261261261261262262262262263263263264265265 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264267265266264265266268266267266267268266264265261260260262262265265264264265265269267271272271271271271269266263264261257260261258258256260259259260257259256257257261264263260263266265266266264267268266269267266267269270271271270273271272276276276276277276276276276274274274999273271273270265264266999999999999999274273271270273275277278275280277264264264265267268999999999999999999999999999999999999999999999999999999999999277278277276277999999999999999999999999999283285287288288290289291292292292292291291290289290290290290291288287288289289288288287289290290290290291290291291289290291292292292291291290289291291290290290289288288289288287287286286286286285286285285287287288287285285285285285286286286286287286287286285286285286285286287287287286287286285286286286285286285284283283281280278280279280279279279279279280280281281281281280280280280281281280280279276276277276276275274274274275274274274274275275275275275272275275275274273273273272271272272269269272273272272272273273273273273273271272272271271269268268267268269270272272271271270268268268267266266266265264265264264264265266267268269269269269269268268267267263264260261262262264263264265264264263262261262262263259258258258258259259259260261263265265266266266267266267266266266265264264263264266267268268267267266268267266267265264261260258258257256256255255255254254253254254253253253252252252252252254254255257258259259260259259259258258258257257257257256257258258258257257256257260260261260262262262263263262261260258256258256256255255255255255254254254254256258260261261261261262262262262263263263263263264262262261260258258258258257258258257257257258258257257257257258258258258259259260259260260260260260260260260260260261261260261261261261261262261261261261262262262262262262261262262262262263264265265266267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267267268266267268268268269269269269268266265262260260260261264264262263264265271271271272273272272273264264266265261262261263262260262262262262259264263264266264265266266268268269267268267269270270271269271269270269269270270271271273274275275277275277277277275276276272275999271269267267263264265999999999999999999277273274275277279278274275273269273270269272274999999999999999999999999999999999999999999999999999999999279282280280280279280277999999999999999999281285287288288290290291291292292293291290290289290291290290291291288287287287288288288289289290290290291291292291291292291292291291292291290290290291290290290290289289288288288287287287286286285285286286286286287288285287287287286285285286286287286287286284284286286286285286287287287286286286285286287286286286286283282283280280280280280280280280280279280281281282282282282280280281281281281281280279278277277276276276276276276275276276276275275275275276276275276275275274273273273273271272272271272273273273274274274275273274275274271273272272270268267268269269270271272271271270270270269269269267267267265265265264264266266267268269269271270270270270270268268265264267262260261263262262263263262262261261261261261259258258258259259258259260262264264265266266266266266266267267266265265264264265266267268268269268267267267268267265263261259258258257256255255254254254253254253253253253253253252253254254256257258259259260260260260260259258258259258258259258257257257257258259257257261260262261262263263264263263261263260258258257257256256255256255254255255254255257260262263262262262263262262264263263263263263263263263264262260258258259259258258257257257258258257257258258258258259259260260260261261261261261262262261261261262262261261262262262263263263262262262262263263263262262262262263262263263263264265264265267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264267268268266268268268270271271271268267266259260258259260260262263260264264266271273272270273267270265265265265263263261264263258262261264260267267267267268268267267270271270271270269270272272272272272272270270271272273273273275276277278278279279278278277278277275273273272271267269268265271999999999999999999999282279277282999999277275275275279278275272274999999999999999999999999999999999999999999999999999999280279283284282284283280276275999999999999999999281286289291291289289290291291293290292291290290290291290290291288287287288287288288288289291290291291291292291291291289292292291291292292290290290290290289290287289289288288287286286287286286286286286286287287286287286287286287285284286286287287286286286284287286286286286286287288287287286286286287286285285285285283284283283282281280280280280280280280280282282282283282282282281281281281281282281281280279279277277277277278278278278277276276276276275274276276276275274274273273272272271272273272273273275275275276275275274275275275274274272271271269269268269270270271271273272271270270270270268268268267267267266266265266266268269270270270270271270270269269270266268267267264264262263263264262260264261262261262262260259258259259258259260261263264265265266267266267266267267266266265265264265265267269268268268267267267267266265264263260259258258257256255254253253253253253253253253252253252252254255256257258259260260260260260260259259259259258257258259259259259257257258259260261263264265262263263265262262263263263261260259258258257257256255256255256256256256260261261262263263262263263263264263264265265264264264263264263261259259259259259259259258258258259258258259258258259259259260261261262261262262263263263262263263262262262263263263263264264262263263263263263263263263263263263263263263264264265264265266267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264268268269270270270270271271271270269267265260259261261262259266263262264267266274271273271270268267266265267267269269268268265261260261261266268267265267266268269267269270271271999999266270271272272270273272273273275276275276277277278278279277280281281279278275273274272270271268269999999999999999999999999999999999999999999999999999270273275278273274999999999999999999999999999999999999999999999999999999999276281283283285285286284282277275999999999999999279284288289289289289290290290291290291291291291292291291291290290291285285286287287289289290291290291290292292292292292292292292291291291291290290290291290290290289289289288287287286285286286287287287287286287285286286285286285286285285286285287287286286285285285287287287286287286288288286286286286286286285284285286285284284282281282280280280280280280281281282282282282283283282282281282283282281281282280280279278278279279279278278278279276277275276275275276275276275274275274274273274272272272272274274275275275275276276276276276275274273271272272271270270270272270272274274272272271270269271270269268268266266265266265267268269271270271271271271271270269269268269268269267263262261263264263263262263264264261262261260259259259259258259260262263264265265266266267267267266266266266265265264264265266268268268267266266266266266265264262261259258258258255254254253253253253253252252253252253252254256257259261260260260260263261261261261260260260259258258259260260259258258259259260262264264262263265265264264264265264265262261260259257258257255256256255257257259259261263262262263263263262263264264263265265264263264264264264263262260260260260259259258260259259259259259259259260260261261261262262262262263263263263264263263263263263263263264264264264263263263263264264263264263263263263264263263264264265265265265266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999268269271270272272270272273273270269265263259258262265263263268269264268267266271273269269270269267269267268269266270266269267261264266264264268265269270270270268269269999999999999999999266271271269273272273274275276276276277278279280282278281282282282279280277276268270271271999999999999999999999999999999999999999999999999999999275273268267272279283999999999999999999999999999999999283286287284289999999999280283284283283286287285284280276274271272272272280282286288290290290290289291290291293291290291291290291291290288289287288287288288288290290291291292292292292293293292292293292292291291290290289291290289290290290290289289288288287287286286287286286287287286286286287287286286286286287287287287286287286286286286286287288287287287288287287287286287285286286285286286284284283282281282282281280281281281282282282282283283283283283282283283283283282283282281281279278279278279278278277276276277277276275275276277277275274274276275274274274273272273273274274274274274275276276276276276275274273274274274273273271272273273272273274274274272272271272271270268268267266266266267268268270271272272272271271271268270270268269268268267263263262263262263264264262264264262262261261259259259259259259261263264265265266267267267267267267267266265265265264264265267269269268266266266266266265265264262261258257257256255254254253253253253253252252253253253253256257259261262261260261261262262263261261261260260259259259258259259259260260259259261262264263264265264264265265265266265264262262260258257257257256256255256257258260262262263262262263263264264264264264264265264264264265265264265265263260260260261259258258259259259259260260260261261261262262262263263263263264264264264263264264264264264264265264263264264264264264264264264264264264264264264264264264265265265265266266266266 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269269272271271275273274273272271269267262257260264265268270268268267265269273266267270269268270271268267270267267267271270266266268270265271270271271269267269270270999999999999999999999267270273274275276276276277277277277277275279280279283280282282281280282278274273999999999999999999999999999999999999999999999999999999999999279276271263260267276278999999999999999999999999999281284286287287287287289999282282283284284284285287286286283280277276276277278282285287290289291291289288290290293293292291291291291287291289289289289288288288288289289289291292292293293293293293292292292292293292290289289289291291289290289289289290288288288288287287287286287288287287287286286286287287287287287287288287287287286287287287287287288288288287287287288288287288287287286287285286286285283283283282282282281281281281282282282283283283283282283284284284283283283283283281282282281280280279280280279279278278279278277277276276279278276277277276276275274273273272273273273273273274274274275276276276275275275274274274273273273272272273274272274274273273273271272272272271269267269267268266266267268269271271272272272272271271271271270270268270269265264262263261264265262267266264263263262261260260260259259259261263265265266266267268268267267267267266266265265264264266268269269267265266265265265265265263260259258257256255255254253253253252252252252252253253253255257259262263263263264263263263263263262261261261261260259259258259260261261261260261261262263264263265265265266266266266264265263263261260260258259257258257258258259261262263263262263263264264264264264264265265265263265265265265265265264262260261260259259259259260260260261261261262262262263264264264264264264265265265265265265264264264265265265265265265265265265265265265265265265264264264265265265266266266266266267267267267 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999264270273272275276276277274274272271266263259262265264267267267267266273265268268270271268267270271273271269268270270271265265269269272271271272272270270270271271268999999999999265266266270271275276277277275275276276276277278277279281279283282282279279278279279275275999999999999999999999999999999999999999999999999999999999999999999275262259267272272277271999999999999999999999284284286287288288288286283281282284284284286284287287287285283281278279280281283286289290289292292290290291289292289291292289288291289290290290290289288288288288290288291291292292293292292294292292291292292291291290290289290291291291291290289289289289288288288288287288287287288288287287286287287287287287288288288288287288288288287288288287289290290289288288287288288289288286286285286287286286284283283282283282282281281282281282283283283283283283283284284284284284283283283283282283282283282282282282282281281280279278278279279280278278278277277277277276276273274272273273272272273273274274275276276274276275275275274274274273274273270273274274274274274273273272273272272272271270269269268268268266267269270272273274273272272272272272272270269269269267265263262262262263267267267265265265264263262261260260259260260262263265265266267268268267267267267267267266266264264265267269269269266266265265265265265265262261259259257255255255254254253252252252252252252253253254257258261263263263263263263264264264263263263262262262261259260261261261262262262263263264263263264264264265265266265266266265265265263262260259259260258258258257258259261263263263263263264264264264264264266265265266265265265266266265265265264262261261261259260260260260261262262262262262263263264265265264265266266266266265265265265265265266266266266266265266266266266266265265265265265265265266266266267267267267267267267267268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999269274273274278276275277274272268264261260262264267268269270269268265266271271271273270271270272272272271271271270270269269268266271268268272272272271271273272268267270270269269270274274275276275278278276278276277277279278278281280282282281282280280275277274273274277999999999999999284282999999999999999999999999999999999999999999999260261266268263264999999999999999999999285285285284283288288288288285283286286286285287287289286288287285281281281281285287286289290291291287288291288289287288286288288288287287288290290290288287287287289289288289292290292291292291290290293294294293292291291290290290291291290291290290289289289288288287287287288288288288288288287287287287287287287288288288287287288288288289289290290290290290289288289288289289288288288287286286287286286284283284282282282281282282282282281282283283283283282283283283285284283284283283283283283283283283283283282282281282281281280279278279281280279278279279278277277274275276275274274274274273273274275275275273273274275275275274273274274274274273273274275274273274273273274274271272271271270269269268268267265265267269271272273272272273272272271271269269269268266264262261262265265267269268265267267263262262262261260260260260262264265265265267268268267267268268267267266265264266267269270269267266266265266265265265264262261260258257256255255255253253253252252252252252253254255258259263262262264263264264264264265264264263263263262261260260261261263262264264265264265264264264266265266267266267266266265266265264262261260259259259258257259259260262264264263263263264264265265265266265266265266266266265265267267266265265264262262261261260260261262263263263264264264265264264265265265266267266267266267266266266266267267267267267266266267266267266266266266265266266266266266266266267267267267267267267268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273277272274276277277276273269266265261262265271274272273272272269270269271272273272271273271273273273273272274271273270271270270272273272274273272271273274274272272274275274275277277277278276277278279278280280281279280281279279282283283282282281281275276275276277277275287999999999291288999999999999999999999999999999999999999999999267262267267262276999999999999999999280283284285285285288289288289287287286287288286285289290288286287287283283282283286288289290291288288290289290290286286289288288288288287287290290291289289288288288288288288288292292289289291291290291292293294293293292291291291291292291291291290290290289289289287288289287287288288289289288287287287287287288287288288287288288287288289289290289290290290290289289289289289290289289288287287287287287287285284283283283283283282282283282282282282282282282282283282284284284284284282283284284284283284282284283282281281281281281279282282281282281281278279279279279277277277278275274274274275274274274275274274274275275275275273273273274274274274273274274275275274274273274274274273272272271271271270269268266265266266267270270271271272272272272271270269268267266265263262262263266268269269269267267267265263262262262261261261261262264266266267268268268268267268267267267266266266267269270270268267266266265266265265265264262261260258257256256255255254254253253253252253253254254256257260263263263263264264264264264265265264264263263263262261261261262265265266266267266267266266267267268267268267267267267267265265264263262261260259259259258259259261262263264264263264264264265265265265264266266266266266267267267267267267266266265263263261260261262263262263264266266266265265265266267267267267267267267267267267267268269268269268267267267267267267267266266266266266266266266266267267267267267267267267267268268 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274272270275276276275272271268265262265266268271273274273271270269271272273272272273272271272273270271269274274274274273274273273274274274274272273272275275275277277278278278278278279279279280279279282280282283282280279283284284284284284283285282277277276276279999999286999999999291289286999999999999999999999999999999999999999999271266271271272275278999999999999283282282281282285287288287288287287287286287288287288287290290288287286285283282285287289289290290288289289290290290288287290290290290290289288289289290289290289288288287288291292292292289291292292290289288292293294293293292292291291291292291291291291290289289289288288289287287287287288289287288286286286287287287287288287287288288288289289290290290292291290290290290290290290289290288287287289287287286286285284283283283282283281281281280282283282282282282283283283283284284284283284284284284284284283284284282282281280281283282282282282281282281281281279278280278277276278277275274274275274275275275275275275275275275274273274275275274274274274275276276275274273274273273273273271271271271269269268269267266265267268267269269272272272272271270269268267267265264263262263264266267268270270268268267267265264262263262262262262262264267266267268267267267268268267267267266266267269270271270267266266266266266265265265264262261259258257256256256256255255254254253253253254254255256258261264263264265264265265264265265265265264264264263262261261261264266267267269268268268267267268268269268268267268267267267267266265264264263261260258259259259260261261263264263264265265265265265265266266266267267267267268268268268267267267267266266264263261261262263263263265266265265265266267268268267267268268268267267267267267269269269269269267268267268268268267267267267267267267267267267267268268267267267268268269269270 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267271270270275268274274270269264266265267267267273274273272270268273271273272273272270270272271271269273274275274274275275274274272273270274274274273274276276277278279279279279280280278279279280280282279283282281281281283284284283282284282279282280278279278281283999999999999999999999287285999999999999999999999999999999999999999999268272275277277281284999999999281281280283284285285287286287288287286286287288288288289291289289287286284284285286288289290290290288288290289290290288289290290290288287290288288289290289289288288288289290291292293292290291291293293291292292293293293293292292291292292291291291291291290290290289288289288288288288288289288286286286286287287287288286286287287289289288289290291291291292291290290290290290290290290290289290289289287287287286286285284283282282282282282281281281282282283283284284285284284285285284284285285285285284285284284283284283283281282282282282282282281282282283280281280279278279279278278277275275277274274276277276276277276275274273275275275275275274274274275275275275274273274273272271272272272271271269269269269268268268267266268268268270270270270270269268265266265264263263263266267268269270271272269269269268266265263263262262262263262264267267267267267268268267267268267267266267268269271270268266266267266266266265265265263262261260259257257256255256255255255255254253253254254255257259262264263265265265266266265266265265264263263262263262262261263265266268269269270270270271270271271269269269268268268267267265265265264265264262261260259260259260261262263264264265264265266265265266266267266267267268268268268268268268268268268267267266265263263263263263264264265265266266268268268267267267268268268268268268267267269269269269268269269269269269269269269269269269269269269269269269269270270270270270270270271272 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999271267268271274271273271269268268268267267269271273274273272272272271273272273271274273272274274272272274274274274275276275274273275274274273272273272275276277278280280280279279280280280280282280283281282282283282282283284285284281281999283280283283282281282283283285999999284287999999286279999999999999999999999999999999999999999275275276279280280280283284283283280283284284285285286286287288288287286287286288287287288288288288288285286285285286288289288288288288288290290288289288289289289290288288289289289289289289289288287290291291289292293293290290292292292293293292291293293293292291291292291291290290290291291290290290289289289289289289288287285287288288289289287288287286287287287288288289289290291291291291290290290289290289290290290290289289289289288287286287286284282283282282282282282282282282283282283285284285285284285285285285285286286285285285284284285285285284283283283282282282282282282282282282281281281279278278279278278278277277278277275277274277276275276275275275276276276276275274275275275274274274274274274273272272272272271271270269269268268269267267268265267267267269268268268267267269266268266266266265266267268270271271274273271270270270267265264264263263264264263264266267267267267267267268268268268267267267269271271269267266266266266266266265265265263262262260259258257256256256256256256256255254254253254255257259262264265265265266265266266265266266265263263263263262261262263266267269271271272271272273273274274271270270269270270268267266266266265265264264264262261261261260260261262262265264264265265265265266266265266266267267268268269268268269269269269269269268267265264264264264264264265265266267268268269268268268268268269268268269269270270269270270269270270270270270270270271271271271271271271271271271271271271271271271272272273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999267269272275275268271267269271270269269268270272273273274272271274275275274272271276275271274273272272270273274274274275274277276275274274276274273276275275277279279279279280280280281281280281283283284282282283283282285285284285285284999999279283283282283285284279280277276275279999279285282999999999999999999999999999999999999277278280281281283284285283286285286286286287287288287288289289289289288288288288288289287288288288289288288287286285284286286290290287288289288288288289289289289289289289289289289289289289288289288287290292292290292293293290291292293294291291293293293293293292291291292291290290290291291291290290289289289289289287289290289288287288289289288289289289286287288287287288288289290290290290290290289289292289289290290290290289289289288288287286285285284282281282282282282283283283283283283283285285285284285285284285286287287286286286285285285285285284283283282283284282282282281281282281281281281281280280279279278279279278277278278276276277277275275275275275276275274274275275275274275275274274274275274274274272272272271271270269268269269268268268269268267265266267267266266265265264265265265266266265267268268269271272272272273273271270270269267265264263264265265264265265266267267268267267267268268267266267268270271270268267266266266266266266265265265264263262261260260258258257257257257258257256255254254255255257259261264265265266266266266266266267266264264264263262262262263264266268270272271272272274273274274272272271271270270269269268267267266265265264264264264263262261261260260261262263264265265266265266266265265266267267268268269269269269270270271271270271270270268267265265264264263264266266267268268268269269269268268269269269269270270271271271270271271271271271271271270270271271271272271271271271272272272272272272272273273273273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999272275274272272271271272271271269268271275272272273275276277276273270274268272270270271271270271271273274274275276277277276274275272276275276276277277278279279279279280281281282282281283283281282284284283284284286285285286285281281281280283283282283286284279280277275275270274274281281999999999999999999999999999999999273276280282282282283285286287286287286287288289291290290291292292291292289288290290288289289288288288287288288287287283284286289290290288288291289289288289289289289289289289289289289289289289289289288290287292290291290291293290293294294294291291293294293291293292291292291291291291291291291290290289289290290288288287289289287289289288287288289290290289289290289290287288288289292289289290291289289292292291288291288290290290289289289289288286285285284285283283282283283284284284284284284284286286286286285284285286287287287286286285285286285285285284284282283284285284283281282281281283282282282282280280280279280280279278278279278277277278278276275276274275275275274275274274275274274275274273274275275274273271272271271270270270269269268267267267267267267266265266266265265265263264264264265265267268269270270271272272273273273273271270271270269267265264265264265265265266266267267267267267267267267267267269270271271270268267267267267266266266266265266265264263262261261261260260259259259258258257256256255255256257259260263264264266266267266265265266266264264263262262262263264265266267269271272271273274274274274273274271271270270269269269268267266266266266266265265265264263262261261260261263263264265265265265266266267267267267267268268269269270271271272272272272271271271269267266265264264265266266267268268268269269269269269269270270270270271271271271271271271271271271271271271270271271271271271271271272272272273273273273273273274274273 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275275276273273272272271270269272273271272276276276275273278275273271272271271271273270271272275276275275274276276276276277277277276278278278279279280279279280281282282282282283283281284284285285285285286286286285286286285285284283285285285287287287284281279280999999999999282280999999999999999999999999999999999275277280282283284285286288287287287287288289289291292293293293292292291290289288289290290290290290288288290289288284283285286286288289289289289290290289288289289288288288288289289289289289289288289290289289290292290291293293293293293294291292292292294291291292291290290291291290291291290291290289289290289289289289289289289288286289289289289289289289289290290290291291291292292292292292292292292292292292291290290290290290290289290289288288287287286287286284283282283283285285285285285285286286286285285284285285286287287287286286285286285285285285284283283282282282283283282282283282282282282281282281281282281281281280280279280278278278277276276276277277275275275274273273274275274275275274275274275275275274273272271270270269270268268268267267267266266265265265266266265264263264265265266265267269269269271271272272273274274274274273271271271270268267266265265266265265265266266267267267267266266267269269270271271271269267267267267267266266266266266266265264263262262262262262263263262260259259258258257257257256257258260260263264265266266266266265265265264264262262262264265265266267268270272273274275274276276276274272273272272270269268268268268268267267267266267267267265265264262262262262262263264265265265265266266267267267267268268269269270271272272272273272271273273272271270269268267266265266266267267268269269269269269269270270270270270271271271271271271271271271271271271271271271272271272272273273273273274273274274273274273274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273277276274273273272271270271272273273277276274275276276275275273273273273273274273270271274275274275276277277278278278277278279279279279278280281280280281282282282282282282280282284285283285285285287287287286288287287288288288288287288289289288288285282281999999277280279999999999999999999999999999999999273275280282284285285285285289289288288289289290291291293294293294293292292291291293293290289289291291289289291288289285285285287289289289289289290289289288289291290288288288288288288289290289289291290290290290290292291290293293294294293293293293291293292293292290289290290291289290291291290290290290289289289288289289289288288287287288288289289289288288290290290290290290291291292292292292292292292292292291290289289289289289290289289289289289288287288287286284284284284284285286286286286285285286285285286284286286286287286287286286285285285285283283284284281283283283282283281282283283282282281281282282282282281281281280280280279278278277278275277277276276274274274273272273274274274275273275276276277276274275274273272271270270272270269268267266266266266265266266266264265265264265265267267267269270270271273273273273274275276277276275270272272271270268267266266266266266265266266266266266266267267268270270271271271270267267267266266266266266266266267267266265263263264264264264264264264262261261260259259258258258258258260261262263263264265263264264265265264263263263263264266267267267269272274275276275275275275275275274273273273271270270270270270269269268267267267267267265265265264263263262262263264265266266266267267268268268268269269271271272273274273273273273273274274273272271270269269268267266266266267268268268269269270270270270270271271271271271272272272272272272272272272271272272273273273274274273274274274274274274274274274274274274 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999270278277275274274272272271271272272272273273274274274274274273273274274274273272273274273274274273275276278277277279278278279280280280280280281281280280280280281282280280282284283284284284286285285286288288288288288289289289289289289290289290290290289282281999278274275272999999999999999999999999999999999275278282283285287288287287289289289289291292291292293294294295295292293293292294294290290292292289289290291290289288285285286288288289289288290288289288289288290289289289289289288289289289290290291290291289289292293293293293293294294293293293294292292291292290289290292290291290291291290290290290290289290290289289288289288287288287287288288289288288288290290291290289290289292291292292292292292292292292292290290290289289289290289289289289289288288287287287285284284285285285286286286285285285285285284285285286285286287287287286285284285285285283283282282284283283283283282283283282282282282282282282282282281281281281280280279278277278277275276277277277275274274273274275274274274275275275276278278277276275275275274274274273272272271270269268267266266265264265266265265265266266264266268269269270271272273273274274274275276276276276275274272272272271269267267267267267266266266266266267266267268269270270271271271270269267266266266266266265266266267267268267265265265265265265265265265266265264263262261260260259259259259260261262263263262263264265264264264264264265264264266268268269268270273275275276275276277276276275274273274274273273272271272272271270269269268269268266265266266266264263262262263265265266266267268267268268268269269269270272273274274274275274274274274274273273272272272272270269268267267267268268269269269269270270270271271271271272272272272272272272272272272273273273273274274274274273273274274274274274274274274274274274275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274277275273274273272274274272274274274275274273273273272273273275275275275275277277276276275276277278278278278279279279280281280279281279282282281281280279281281281282283284282283286284286286286287287287288288288290290291291291290290290291291290290285280274279276999999999999999999999999999999999999999275280284285286290289288288289291291291292293292293293294295296294294295294293293295294294293293294292291291289289287286286287288289286286288288287289291288288288288290289289289289289289289290290290290290289289293294294294294293293293294293293294293293292292289290291292292291290291291291291290291290289290290290289289288288289288288288288288290289290288290290289289288291290291291293293292292290292292291292292291291290290290289289288288289289288287287287286286285286285286286287286286286286285285285286286286286286287287286286285284285286286285285284282282284282285284284284283282282282282282282283282282281281281281281280280279278277277276277276276276275275275276274274275276275275276276277278278277277277276276277276274276276276275274272271269267268267265265267265266267267268269269270271270271272273274275275275276276276276276275276273273271270272272271269268268268267267267266266266267268268269270271271271271271269268266266266266266266267267267268269268268267266266267267266267267267266267266265264264263262262261262262262262262263263263263263264264264265265266265267267268269270270270272274276275276277277278278277275275275274276275275273273272271271270269268268269269268266266267266265264263263263264265266267268267268268268268269269270272273274274274275275275275275275275275274274273273273272272271270268267267268269269269269269270270270270271271271271271272272272273273273273273274274274274274274274274274274274275274274274275275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278274276277278279278275274275275277277276276275273274277278278278279278279278277278277278278278279277279278279279279280281282282282283281282280278279281281282282284285284284286285283286287288289285287288288290291291291291290290291291292291291288282277272999999999999999999999999999999999999999273276282286287286288289288287287291292292293293293294295295296296296296293293292295294294294294292293292292292290288288288287287288288286289288288288288291291292289289290290289289289289288289290290290290290289292291292293294294293293294294293291292292292292291292292291292292292291291291291291291290290290290288288290289289289288288289288288288290290290289289290290289289290291291289294293293292290290291291292291291291291290289288288288288289289287288287287287287288288288287287288287287286286285286285286286285285286286285284285285285286286286286284284283284284282285284284283283282282282282282282282283282281281281281281281279277277276276276276276276276276276275276275276276277277277276277278278278278278277276275275275277277277276275275274273274273272271270270271270269269269269272273274274274274275275276276277278278277277277276277275275275273274273273272271271270269268268268267267267268269270271271270271271271271269267266267266266266267268268269269269269269268268268267267267267269268267267266266266266266265265265265264264264264265265265265265266265266266267267267268269270271271271272274275276277278276277279278278277276276276276275274274272271271271270269269269269269268266265267267267266264265265264265266267267267268268269269270270271273274275275275276275276275275275275275275274275274274274273272272271270269268268269269269270270270270270271271271271272272272273273273274274274274274274274275274274274274274274275275275275275275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273999999999999999999999999999278279278279279275272275277272280281280277278278279279279279279279280280278278278278277278278278277281280280280280280281282283283281280280280279278280283281283284285286288286285283284287288289285287289290291291290290290290291291292292291291289285282278999999999999999999999999999999999999999275279282285286286288289290289290291292293293293294295295294295295295295294294294295294294293291292293292292291291289287288288287287288288287288288288289289292291289290290290290290289289288289290290290290291290291291293293293291290292294290291292292292292292291290292293290291293290290291289289290290290290290289289290289288287287289288290290289289289289290290289291291291291291289291294289293290290292292292291291290290291289288287288288288288289289288288287288289290290290289288287287286286286287287286287286285286286285284285284285285285286285285285284282284284285285285285284283283283283283283282282282282281280280281281280280279279277276276276276277278278277277276276277276278278278278278279279279279278278278278279278278278278277276276275275275275274274273274272272274274273274275276276276276276276277277278278278278278276277276277276275274274272274274273273272272271270270269269270270270271271271270271271271271271269267267267268268268269269269269270270270270269269268269268269269269269269269269269269268268268268268268267267267268267267268268268268268267268267269270269271272272272272273274275278279277278278279279279278277276276276275275274273272270272271270269269269271269268267267267267267266266265265265266267267267268268268269270271272273275275275275275275275275275276276275275276275274274274274274273273272272271271270270270271271271271271272272272272273273273273273274274274274274274274274274274274274274275275275276276275275275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999274999999999999999999999999999999281280277280280276276276281281279279279279278280280280279280279279279279279278278278278277277280281280281282281280281282284284281279279279280280282283283284285285289287286287288287287288289290289289290292290290290290291291292292291292292288285284279999999999999999999999999999999999999999274277285286286287287288287286291291292294293294294295295294295295295295295295295295294293293292293293292292292291291288288288291288288289287287289289290290292289290291290290290290289288289289291291290291291291292293294293292293293292292292293293292291292292291292293293291291293293292290290289291290290290290289289289289290291289290289292287290289290290291292291292291291291291290292293291293292291291292291291291290290290292288291285286286289289289289289288289291290290288288287288288287286288288288286287286286285286285282284284283284284285284284284283282284284284284285285285284283283284284283283282281281281280280280279279279280278276277277277277277278278277278277276276277278278277279280280280279279279279279280279279279278278276277276276276275276276276274277276275275275275275277277277277277276277278278279279278278277278278277278278276275274272274273274274273272272272272271271271271272271271271271271271271271270269268268269270270270270270270270270270270270270269270269269269270270270271271272271271270270270269269270270269271270270270270271270270271269270270271271271272273273272273275277277277280279279279279279279279278276276275275274274273273272272271271270269271271270269268267268268268267266267266266267267267268268269269270271271273274275276276276276276275276276276277276275276275275275274274275274274274273273273272272272273272273273273273273273274274274274274274274274274274274274274274274274274274275275275275276276276275275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999273999999999271276999999286284283278277280278279279280280281281281280281281281281283281280279279280279279278278278279279280281281282281281281282283284283281280280280282284283284284286286288288289289289289288289290290289290290290290290291290290291292291292291291287286282281278999999999999999999999999999999999999276280284287286286287289289288291293294294294295295295296295293295295295295295295295294293292293293292292291292291291290288288288288291289288289289289290289290289290290290290290289289288288289290291291291292292292292293294293294293293293293293292292292291292291292291292290292291293293291290290290290290290289289289289291291292290291289290289291291291291291291292291292291291293292292292292293293292291291292292290290288289288292287285287288289290290290290289291290291291288288288289289289288289289289287288286286285285284284284284284284284284283283282282283285284284284285285284284284284283284284282282282282281281280279279279278279277278277277278278278278278278278278276277279279278278281281281280281280280281281280280280280279278277277276277277276276277275277278278276276274275276275275278278278279278279279279279279279279279279276277279276275273274274274275274274274273272272272272271271271271271271272271272272271270269270269270271271271271271271270270270271270271271270270271270271273274275275275275275274273273272272272272272273273272272272272272271271271271272272272273274274273273275278278278278280280280279280280279278277277276275275275274273272271272272271270271271272271270268268268268268268268268267267268267268268269269270270271273274275276276276276275276276276277277277277276276276276275275275275275275274274275274274274274274274274274274274274275275275275274274274274274274274274274274274274274275275275275276276276276276276275275275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999276999999999999282284288286280279280279280282282281282283283283282283283283284282282280279280280280279278279280279279279280281282281281281283285284284284282282281282282283285285286285288289290290291292291290290290290290291291290290291291292292292292292291289288286283282281999999999281279999999999999999999999278280285286286287288289290291293294294294296296296296295295294295295294292295294294294294295294292292292292291292291290289289288287288289289289289289290290290290290290290290291290290289289289290290291291292291291292293293293293293293293294293292291291291290291292291293293292293293293291291292291290290292292292288287290288291291290290290291291291292292293293293292293293293292294293293292292291292291291292292289290288289289289288286286287288289290290290290291291291290289290287289290289289289290289287286286286286284284284283283283284283283282282282284284284284284284284284284284285284285285284283282283281281280280280279279279280279278279279279279279279279279279279279278278280279280282282281281281281280281281281280279280279279278276277278278278277278278279280276276279276275276276276279279279279279279279279280279280279278279277277277277276273275274274275276275275274273273273272272272272272272272272272272272272271271272272272273272272272272272271270271271271270271270271272273275275275275275275275275276276276276276275275275275275275275274273273274273273272273273273273274274274275278278278278279281280281280280280280279278277276276275275274274273272272271270271272272272272271270269269269269269269268269268269269269269270270271271272273275276277277276275276276276276276276276276276276276275276275276276275276275276275275275275275275275275275275275275275275275275275275275275275274274274274274274274275275275275276276276276276276276276275275275276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999278284285999999999287286287285283283283284285284284285286286285284285285284283282282281281280280279280280279280279279281282281281282282284284283284284283285283282284284286286285286290290291291292291291290290291291291291291291291291290292292292292289288288288286284286285999999999283999999999999999999999279281283285285286287289290291293294295295295295296296295294294293296295293292293292292294295293293293293293293291292292291291290289288288289289289289290290290290290290291290290290291290290289289291291292292292292292293294294294294294293292292292292291291291291291291291291291293291293293292292293291292289292292290294292291289290288290292290291291292293293294294294294294294294294294292294293293292292292291292290291292289288289288288288287291287288288290289292292292291290288291289289290290290289290289287286286286285284285284284284284284283283282281283283284284284285283285285286285285284285285284283282282282282281281281281280281280280279279279279279279278279278278279279279279280280280281281281279280280280280279279279278279279278278277278278279279279279278280280278278280280279280279280279280280280280279278279279280279278278277278278277278275273276274275275276275275274274273273272272273273273273273273273273273272272271272272273273273273273273272271271271271271271271272273274274275275275275275276276277277276276276276276277277277277277276276274275273274274273274274273275275274273277278280279280281281280281280281281280279279276276276275275274274274272272273271272273273273273272271271271271271270270270270270270270270270271272272273274274276277277277276276276276277276276276276276276276276276276276275276276276276276276276275275276274275275275275275275275275275274275274275275275275275275275275275275275275276276276276276276276276276276276275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283288287282287286285285285284285285286285287287287287286285285285284283282282281281281280278280280280280279279280281281281282283284284284285284285285285284284285286288288289290290290292291291291291292292292292291291291291292292293292293292288288288286286286287285999999282286999999999999999999999279281283283285288289289292292294295295295297297297296294296295295296293293293291295294292294292294293293292292292294292291291291290289288289290289290289288289290290290291291290291290290290289290291292292291292292292294294294294293294293292292292291290290290291290291290289290290290293293293292293293292294293294294291292292293291291291293292293292293293293294294294294295294295295294295294294293291293292292291289290294288288289288289288290291291288288289290290290290291289289292289288289290289289289288287286286286285285284282282283283283283282284283284283284284284285286285285285284284284284284284284283284283283283282282281281281281280280280279279278279278278279279279279279280281281282281281280279280280280279279279279281280279279277281280279280280280279279282282281281281280281281279279280280280281279279279279280279279279277277277278277276275275275275276276275275274274274274274274274273273274274274274273274273273272272273272273273273273273273273272272271271271271272273275275276276276276275276276277277277277277278277277278278278277277278276275275275275274275275275274274274274276277279280280281282281280281281281280279279279277276275275275275274273272272272273274274274274274274273273272272272272272272271272272271272272273273273274274275277277277277277276276276277276276276276276276276276276276276276276276276276276276276276276275275276275275275275274274274274274274274275274275275275275275275275276276276277277277277277277277276276276276276276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288286287284286286285288288288287287288287287286285285285284284283282282281281280280279280281280280280280281281283283283284285285286286284285284283284285285287288290289291292292291292292292293292292293292292293292292292293293292292289288288287288288284999999999999287286999999999277275276281282284287287290292293293294294295296296297297298295295296294294295294293291295293292293293294294294292293293293294293291291291290290289289290290289288288288289289289291291290291290290289289290291291291292291292293294293293293292292292292292291290290289290290289290289291292291291293293293291294292293293292294294292294292291294293294294293293294293293294294295294295295295296295295296295294292293292293292292292292291289290289290289288287288287289290290290291290292292291291290290291288289289289288288287286287287286285284283282283282282281284283284283284284284284285285286285285284285285285285286285285285285284284283283282280281281280280280279279279279279279279279279279280280281282282281281281281281280279278279280280281281279278279280279280280279280282282279280280280280281280280281281280280280279280279279279279279279278278278277277276276276276276276276276276276275275275275275274275274274275275274274274274274273273272273273273274273273274274274273273272273272273274275276276277277276277276277277278278278278278277277277278278277276277277276275275275275276276275275274274274276278279280281281281281281281281281281280280280280279277275275275274274273272272273273274274275275275275275275274274274274274274274274274274274274274274274274275276277277277277277276277277277276276276276276276276276276276276276276276276276276276276276276276276276276276276276276276275275275275275275275275275276276277277277277278277277278277277277277276276276276276276276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291286289288288288288285286287287287287286286286287287286286285285284283282283284283280281281281281282281282283284284285285286286287286286284284284283284287289289290291292292292293293292292294293293293293293293292292293292293292292289288289288288289287287288999999999290999999999280280281283284287288288291292294295294294296296296296296296295295296295294294294294294294294294294294294294294293294295294295293292292291291290290289289289289289288288289289290291291291291291290290289290291292292291291292293294294293293292293293292292292292291291290290289289290291291292293292292291292294293293292292292291293294293294295295295294293295295294294295295295295295295295294296295294294294292294294291292292293293292290289289290290290288289289291290289290291292292292292290290290290289289287287287287288288288286285284283284282283283282283283283282283284284284284283285285286285285285285286286286287286286286286285285284283281281282281281280280279280279280280279279279280279280281281281281281280280283283281279281281282282281280280284280281282282281280282282280280280280280281281281281281281281279278278279280279279279279278277277277276276276276276276275276276276276276276276275275275275275275276276275275275275274274273273273273274275274274273274274274273273273273274275276276276277277277277277277277278278278277278278278278277278278276277277277277277276276276276276276276275275276279280281281281281282282282281281281281280280279278278276275275274274273273272273274274274275275275275275276276276275275275275275275275275275275275275275274275276277278277277277276276277277277277276276276276276276276276276276277276276276277276277276276276276276277277277277277277277277277276276277277277277277277278278278278278278278278278278277277276276276276276276276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289290290289285287286285285286285285286287287287287288286286286286286285286286285282282283283283283283283285285286286286287287287287287287287287287288290290290292293292292293291291292294293294293293293293293292292293293291290288287287288289288289288289289290285285291999999280281282284286288288289290292294295294296295295296295296295296295295295296295295295295295295295293294293294294294294294295294294294292293292291291291290289289288288287289289289290290291291291290290290290290290291292291291292293294294294294293292293292292293292290290289289290291292291292291291292293293292293293293293293293293295295295296295294293292293296296296293295295295295294294295295295294294294293292293293293293293294293292292292292291291289290290289290290289292291292291291290289290290290290290289290288288288288286285284286285285283283283284283284284284283283283283284284284285286285285286286286287287286286286286286286286285284283282283282281281279280280280280280280280279279280280281281280280280282282281282283280281282282281282281282282281282281281282282282282281280281281282282282282281281280280281280280280280280279280279279278278277276276275275275276276276277276276276276276275275276276276276276276276276276276275274274273274274274274274274274273273273273273273275276276276277277277277276277276277277278278278278278278279278278278277277277278278278277277276276276276276276275275278280280281281281281282282281282281281281281280279279279277276275274275274274273273274274275275275275275276276276276276276276276276276276275275276275275275275276277277278278278277277276277277277277276276276276276276277277277277277277277277277276277277277277277277277277277277277277277278277277278278278278278278278278278278278278278278278278277277277276276276276276276276275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291287288287287286285284285285285287287287287286287287287286284287287287286285285285285283282282283282285286287286286287287287288289289288288289290292291291293293293292292291291293294294294293292293293293293293292291290290288288288289289289289291291291290290290999277281285285286287289290289291291293293294294295294293296296295296296296296296296296295296296296296295295294294294293293293293293293293293293293296291292291291291290289288289289289289289289290290291291291290290290291292292292292292292292294294294294294293294294294292291289289291292291291291291291292292293292292293294294294292291294294295296296296295295295293296297296296295296295295295294294295295295295294294293293293293292293293294293293293292290290291291291290290288291291291290291291291291291291291290289290289288286285288285284284286286284284284282284283283283282283283283283283283284284284285285286286287286286286286286286286285285285284284284283283283282280280280281281280279280280280280281282281280280281282282283283282285282284280281282281282282283286280281281280282281281281281282282282283282280281281281280280281281280280280280279279278278277277276275275275277276277277277277276276276276276276277277277277277276276276276276275275275275275274275275275274274274273273274275276277277276277277276276278278277277277278278278278278278278278278278278278278279278278278278277277277276276276275276279280280280280281281281282282282281282281280280280279279278278277276275275274274274274275275275275276276276276276276275275276276276276276276275276276276276276276277278278278278278277277277277276276276276276277276277277278278278278277277278277277277277278278278278278278278279279279279279278278279279279279279278278278278278278278278278278278278277277277276276276276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286292289285287287286285284285286287287287288288288287287287286287287287287287286286286285283283283282283285286286287287287287288289289289288287289289290290290291292292292292293293295295294293294294293292292292293292292292291290290289289290290290290290290291290288282286288288287287289290291291292293293295294293294294295295294296296297297297297297297297296296296296295295295294294294293294294293293292293292292292291292293291291290290290290289289288288289290291290290290290290290291292293292292292292291293294294294294294294293293292291290290289291293292291291292291292293293291293293293292293293293294295296296297297295294294297294297296296295296296295295293295295295294294294294294293293292293292293293293293291289289292291290290289288289291290290292292291290291291290289288289289289287286286288287287286286285284285284284284283284283283283284283283284284284285285286286285285286286286286286285286286284283284285284283283283282280282281280281280279280281281281281281282281283282282282282283283282282282282281283281281281282282282281280281280280281281282282283282282281281280280280281281280280280278278280279278278278278278277276275276277277277278278277277276277277277278278278278278278278277277278277277276276276275275275275276275275275275274275276276276277277277277277278277277277276277277278278278278279279279279278278278279279278278279278277277277277276276276277279279279280281281281282282282282282281281281280280280279279279278277277276276275274274275275275275275275276276276276276277276276276275275276276276276276277276276277278278277277277278278278278277277277277277277278278278278279279279279279279279279279279279279280280279279279279280279279280279280279279279279279278279279279279279278278278278278278277277277277277277277276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294295294292290289289287286284282284285287287287287288288288287286287288287288287287287287287285285284284284285286286287288287287288289289289289289288289290290290292292292293294294294294294294294295294294294294294294294294293293293292292292291290290291290290291292290291289289290287290291290293293293293294295296295295295295294295297296296296296297297297296296296296296295296296296295295294293293294293294293293291293294292295291293291291290291290289288287289290290290290290290290290290291292293293292292291292294294293294294293293293292292291291290290291289292290290290291291294294293293290293294294295294294295296296297297293296294296294295297295295296295295295294295295294294294294294294293293293293292293294294292290291291290291291291291292288289292292292293290290291290289288288288288289288288288288287287287286286285285285284283283283283283283283282282283282283284284285285285285285285285285285285285283282282284284284283282282282282282282281282282282278282282283282282282282280282282281282283281285283282281280282281282282283283282281281281280281282282282283283282281281282281281281281280280280280279279279279278278278278277277275275276277277278278277277277277277278279279279278279279278278278278278279278277277277276276276277276276277276276275275276276276276276277277277278277277276277278278278278279279279279279278279279279279279279279279278278278278277277276276277279279279280281281281282282281282281281281281280280280280279279279278277277277276275275275275275275275275275275276276277277277277277276275276276276276277277276277277278278278277278278278278278278278278278278278278278278279279280280280280280280279280280280280279279279279279280280280279279279279279279279279279279279279279278278278278278278278278277277277277276276276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293293293294294293293291288285284281278281284286286287287288287288287286287288288287287287287287286286286285285285286287288288288288288289289290290290290289290291290291292293293293293294294295295294295294295295296296296295295295295295294294294295294294292293292291290290289290292290289999289293292292295294295295296296296296294295296296296298297298298298298297297296296295296296296296296295294293293292296293293292293292294294293293292292292291291291291291289289289289289289289289290289289290291292292292292291293293293294294294295292293292292291292291291290291290291290290291292292292291293290290293292292296293293294294296297297297297296296296297296296296296296296296295294293292296294296297293292293293292292293294292293292291290290290292291289290291288290291290289289289288288287286286286286288288285287286287287286286285285284284283283283283283283282282282282282282282282283284284285284285285285285285284284283284283283283284284283283283282282284283283284283283284283283283283283283283283283283285283283283281282282282283283282282283282282281281281281283282282283282283282282283283282282282281281280280280280279278278278278278278278278277277277278278278278277277278279279279279279279279279279279279279279279279279278278278277277277277277277277277275276275276276276276277278278278278278278277278279278278279279280280280280280280280280279279280279278278278278278277277276276277279279279281280281281281282282282281281281280280280279279278278278277278277277276276276275275275275276276276276277277277277277277277277276276277277276276277278277278279278278278278278279279279278278278279279279278279279279280280280280280280280280279279279280279279279279279279279279279279279279279279279279279279279278278278278278278278278278278277277277277277277276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287291293294294295294293297292289285279280282280279282285285286287286287287288287288289289289288288287287287287287287287287287288288288288289290290290290291291291290292290291291292293293294294294294295295295295295296296297297296296296297296296296295295296296296296293294293292292292291291291290999290292293294295296296295296296296295295297297297297297298298298298296297296296296296296296296296296294293293292293292293293293292293293294294293294293293292292291292292291290288288289289289289289289290290291292292292292291294293294294294294294293291291293292292291291291291290289290290291292292292291292290292291292293294293294296296296296297297297296297297297296296296296296297296295295294297297293296293296292292293292292292292292292292291290289289291291291292292290290290291290291288287287286286287285285287287287287287286285285285284284284284284284284283283282282282282282282282282283283283283284284284284285285284284284283283283282282282282283283283283284283284284284284284285284284284284284284284285285283282283283284283283283283283283283282283282281281281281281282282282282282282282282283283282282282281281280280281281280280278279278279279279278277278278278278278278278279280280280280280280280280280279280280280279279279279279278278278278277277277277277276276276275276277276277278278277278277278277277278278278278279279280280280280280280280280279279279279278278278278277277277276276277278279279281281280281281282282282281281280281280280279278278279279278278278278277277277276276276276276277277277278277278278277277277277277277277277278278278278278278279279279278278279279279279279279278279279279279280279279280280280280280280279279279279280280279279279279279279279279279278279279279279279279279279279278278278278278278278278278278278277277277277277276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289288290292293292294295294293291288285283281282283282284284285286286287287287288288289290290289289289288288288288288288288288288289289289289290290290290291291291292291290291292292293293293294295296295295295296297297297297297297296296296296297297296297296297297296296293294294295294293293292291292287292293295296296296297296296296296297296298298296298298298298298297296295296296296296296296296296295293293293294295295294294294294294295294294293294294293293293292292292291290289288288288289289289289289290291292292292292292293294294295293293294293293293293292292292291291291290290291292292291294292292292291290291292293293293295296296295296295296297297297297297297296295297296297296296296293294294296296293293292292292292291291291290289290291291290289288291292290290289291289290290290289287288288288287287287286286286287287283286285285285285284284284283284283283282282282282282281281282283283283284284284284284285285284284284284283283283282282283283283283283284284284284284284285285284284284284284284285285285285284284284283283284284282283283282282282282282282281281281282282281282282282283283283283282282282282281281280280280280280280280280279279278278277277275279279278278279280281281281280280280280280280281280279280280280280280279279279278278278278277277277276276276276276276277277278277279278278277277278278278278278279279280281281281280281280280280279279279278278278278278277276276277278279279281281281281281283283283282282281281281281280278278279279278278278278278278277277277277277277278278278278277278278277278278277277277277277278279279278278279279279279279279278278278279279279279279279279279279279280280280280280280280280280279279280279279279279279279279278278279278278279279279279279279279278279278278278278278278278279278278277277277277277277276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288287288290292292293292293293293291288287283283283284284283284285285287287286286287289289289290289290290289289289288288289289289289289290290290291290290290290291292292292291292292293294294294295296295296296296297297297298298297298297298297297298299298296296297296294296295292294293295999296293290999291293294296296296296297297296296297298298298297297298297296297298296296297296296296296296295296296294295294294296295295295295294294296294295294294294295294293293293292292292290290291289289288289289288288290291291291291291293293294294295292293294293292292292292292292292292292290292292292292293292291291291293294294295295292295295296295295295295296296296296297297297296296295296296297296296295295294294294294296295296294295295293291290290289290291290289289291290289291290290289289290290290289288287287287286286286286286286287287286285284285285285285284283284284283283282282282283282281282282283283283284284284285285284284283283282284283283283283284284283282283284284284285284284284284283284284284284285285285285285286285284284284283284284284283283282282283282282281281281281282281282282282283283283283283282282282281281281281279280279279280280280278279279279279278279279279280281281281281281281281281281281281281280280280280280281280280279279279278278278277277277277278277276276277277277277278278277277278278278279279279278279280280281281282281281281281280281280279278279279279279278277277278279280280281282282282282283283283282282282282281281280280279279279278279278278278278277277278278278278278278278278278278278278278277277277277278277279279279279279279279279279279279279279279279279279279279279279279279279280280280280280280280280280279279280279279279279279279279279279278278278278278279279279278278279278278278279278278278278278278278277277277277277277276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283999283283285286285281285287292291292291291292292291289287285283283283284284284285285287286286287288288289290290290291291290290290289290289289290290290290290291291291291290291292293293292293294293293294293294296296296297296296297297297298298298299299298298299299300297297298298296296296296296295294999999999294286283291294295296297297298297297297297298299298298297298298298298299297297296296296296296295295295295295294294295296295295295295295294297295294294295295294294294293293293292292292291291290290291291290289289289291291291290291292292292294294295293294293292292293292293293293292293293293292293292292292291292293292293294294294294294294294295295296295295296296295296296296296297296295295296297296296298294294294293296296295296294289290291290290290290290290290290289293289289289289288288290289289289288286288287286287287287286285286286286286286286286286285285285284284284283283283282282282282282282283282283282283284284284283282283282282282283283283281283284284284284284283284284284284284284284284284284285285285285285286286285286284284284284284284283283283282282283282281280280281282281282283283283283283284283283283282282282281281281280279279279279279279279279279277279277278280280280281281282282282282281282282282281281281281281281281281281281280280280280279279278277278278278278278277277277277277278278278278279279280280280280280280281281282282282282282282281281281280279279279279279279278277278279279280281281282283283284283283282282282282282281281281280279279279278278279278278278278278278278278278278278278278279278279278278278278278279279279280280279280280280279280279280279279279279279279279280280280279280280280280280280280280280280280280279279279279279279279279279279279279278278278279279279279278279279278278278278278278278278278278278277277277276276276276276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283284285285282999999999287291291291289290291288286284283282282283284286287287288288287287287287289289289289290290290290290290290291290290290291291291291291291291291291292293294294293293294293294295297296296297297298297297297297298298299298299299299300299301301297298299300296298298297296296295293999289293291289292296297298297297297296297298298298299298298298298298299299299298296297296296296295295294295294295294295297296295296296294294294296294295295296295294294294294293292291292292292291291292291292291291291291292292291291291292292293292293293293294294293292293293293293293293294294294293293293294293293292293293293294293294294294294294294295296294295296295295296295296296296296296296296296295298298299297296296297296295296294294295290290289289290290289290290292292290289289289288291290289289288287287287287287287287286286285286286286285286286286286286286285285284284284282282282282282280281281281280282282283284285284283282282283283283283282282283283284283283284284284283283282284284284284284284284285285286285286286286285286286285284284284284283283282283282282282281280280281282282282283283283283283283284283283283282282282282281280280279280278277277278279278278279279280280281281282282282283283283283282283283282282282282281281281281281281281281281280280280279279279279279279278278278277277278278279279279279280280280280280280281280281282282283283283282281282282281280279279279279278278278278279280281281282282283284284284283283283283283282282281281280280279279279279279279278279279278278278279278278278278278278278279278278278278279278279279280280280280280280280280279279279279279279279280280280280280280280280280280280280280280280280280280279279279279279279279279279279279279278278278279279279279278278278278278277278278278278278278277277277277276276276276276276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290288288999287283281280280281280283286287288288288287288288289290291291291291291291290292291290291291291291291291291291291292291292292293292294293293292293295295297298296296297297297298297298299299299298298300300299300302301300298297297300298298297298297298297295293293294293294295297298298298297297297298298298299299298299297297298299298298298297297296296295295294293294294295294294295296295295296295294293294294294295296296295294294294293293294294293292291292292292292292292292291291291292292292292293293293292293294295294293293293292292293292293295295295294293295294294294293294294291293293293294293294294295295295295295294294294295295295295295295295297296297297297298297296296296295295295295293293295289289290289289289289289289292292289292292287288289289289288287287288288288288287286286285286287287287285285285285285286286286285285285284283282281279282282282280282281282283283284284284284284284283282282283282282283284284284283285283284284283284285283284283284284285285285286286284285286285286286285285284284284283283283283283282282281280281281283283283284285285285284285284284283283283283282282281281280280280280280281278279279279279279281281282282283283284284284284283284284284283283282282282281282281282282282281281281281280280279279279279279279278278278278278279279279280280280281281280281281280281281282283283283283283282282282281281280280279278278278278279280281282282282283284284284284283283283283283282282281281281280280280280279279279279279279278278279279279278278278278278278279278279278278279279279279279279280280280280280280280279279278278279279280280280280280280280280280280280280280280280280279279279279279279279279278278278278279279279278278278278279279278278278278277277277277278278277277277277277276276276277277276276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290289289284999999999281280282285283284286288289290290290291291291293293292292291292292292292291291292292291291292292292292292292292292293293293294294293294295296296297298298297297298299299299299299298299299301301301298303301300299299298298299297296297298298300299297296296295295297297297297297298297297298298299299299299299298298299299299298298297298297296296294294293293294294294294296295295295295296295295295295295295296296295296295294294293294294293291293293292291293292292292292291291292292291292292292292293293293294295294293293292292291292292293294294294294293294294294293293292293293291293294294294294294295294295295295294295294295294295295295298299296296295296295295294293295296295295294294293291293293290290290290289292291292292292293292292291291289291290287289289288288287287287286287286287287287285285285284285286286286285285285285284282282282280282282280280282282282283283284284284282283283284283284283284284284285285284284284284285285285284285283284284284284284285284285285284284285285285286286285285284284284283282284283282282281282282283283284285286286286285285285285284285284283283282282282281281281281281281281279281280279280279281282283283283284284285285284284284284284284283282282282282281282282282282282281281281280280279279279279279280279280279280280280280280279281282282281281282282282282282282282283283283284284283282281281281280280279279279279280280281283283283284285284284284283284283283283282281281281280280280280280280279279279279278279279279279279278278279279279279279279279279279279279280279280280280280280280280280280279279278278279279279279280280280280280280280280280280280280280280280279279279279279279279278278278278278279279279278278278278278278278278277277277277278278277277277277277277276276276277276276276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284284282999285280282287287288288289291291292291293293292293293293293293293292292292291292293292292292292293293292292291292292293293294295295295296296297297297298298297297298299299299299299299301301299301302303303300300298298298299299297296294297301300300300298297298298298299298298298298297298299299299299299300300300301300299299299299298298297296293293293294293293293293295296296295295296296295296295297296295295296296296296295295295293293292292292293293293292292292291291291291292292292292292292292294294294295295294293293293290289291291292293293293293292292292292293292292293294293294294294294294294294295295295295295295295295295297298298298298295294296297296295293293296296294294290293293293290293290291291290289289292292292292292291291291291291290289288289289289289289288287288288286286286287287287287286286287287286286286286285282283282281280282282282282283283283283283284284284284284284284284284284285284285286286285285285285284285285285284284284284284283283285285284284284285285285285285285285285285284284284284284283283284284284285285286287288287287286285285285285285285284284283282283283282282282282281281280280281281281281282282283284284285285286286285285285285285285285283283284283282282282283283282282282282281280281280280279280280281282280280280280281280280280282282283283283284283283283282283283283283283284284283282281281281280280280280279280281281282283283283284285284284284284284283283282281281281281281281281280280280280279279279279279279279279279279279279279279279280280280280280280280280280280280280281280280280280280279279278279279279279280280280280280280280280280280280280280280280280279279279278279279279278278278278278278279279278278278278278278277278277277277277277277277277277277277277277277276276276276276276275276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281282278280283286288288288290291292293293293293293294294293294293293293293292292291292293293293293293293292291292292292292294295296295296297297297296297298297298297298299299299301299300301301301301302301300300299300299298299298297298296299299300300300299299300300299298297298299299298298299300300300301300302301300300299299299299298297297294293293292292293294293292296295295295295297296296297297297296296296296296296296296294294293293294292292293294294293291291291291292290290291292292292293293294295294295295294291293293293294295295294294294295296293295295294294294294295295295293294294295294294294295295294295295295296295295298296297297297296296298296294296296295296296295294293293293293289290291291291291290289292292292292291291291291291290290288288287286289289289288287287287286286288288287286286286287286287287286286285285282283281281282282280283282282283283283283282284285285285285284284284284285285286286286286285284285285285285285284284284285284284284285284285284285285285285284285285285285285285285285285285286285285286285285285287288288288287287286287286286286285285284283282283283283283282282282281282282282281281280283282284285285286286286286286286286286286286285284284284283283283283283283283282282282281282281280280280280281280280280280281281280280281282283283283283283284284284285284283283283283283284284284282281281281280280280280280281281282283283283284285285285284284284283283282282282281281281281281281281280280280280280279280279280280280280280280280280280280281281281281280280280280280280280281281280280281280280279279279279279279280280280280280280280280280280280280280279279280280279279278278278279278278278278278278278278278278278278277278278278277277277277277277277277277277277276277276276276276276276276275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284285283279277281286286287287288289291292292292293293294294295295294294294294293293294292293294293293294294293293293294293294295295295296296297297297297297297298298298299299299299298299299301301301301301301301301300297298299299297297297297298299299299299299299300299299297297297299299299298299299300300301301302302302301300300298299299298295297295293293295294294294295295294294295295296296295295297297297296296296296297296297295294294294294294293293293293293292290291292292291290291292293292293294295294295295295296295293291291291294295294293294294296295295295295295294294294295295295295295294294294295295295294294295296295295295295297297297297295296296298293294296296296296296295294294290290290291290291292292290289289292291292291290291290290290290290288289288287289289287288289288287287287287287287285284285285285286286285285283283283282281280281280283280283283283282282283284285285286285285285284285285285285286286286285286285285286285286285285285285284284285285285285284285285285286285285284284285285285285286286286286286287286287286287286288289289288287287287287287287287286285284284285284284283282281282281281283283283282283283283285286286286287286287287287286286286286286286285285284284284283283283284283283282281282281281280280280280281281279280281281281280280281282283283284284284285285285285286286284285284284284284284283281281281281281281281281281282283283283284285285285285284284284284283283282282282282282282282281282281281281281281280280280281280280281281281281281281282282282281282281281281281281281281281281281280280280280280279279279279280280280280280280280280280279280280280280279279279280279279278278278278278278278278278278278278278278277277277277278277277277277277277277277277277276276276276276276276276276276276275275275 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288285283281279278281286286287287288289291291291292292293293294295295295294294294293293294293293293294294294294294295295294295295296296296296296296297297297298298298298299299299299299298299301300301301301302299301301300298299299298297297296298300299300300299299299300300299298299298300300300301301299300301301301302302302301300300299299299296298297294294295295295295295295294293295295295295295297296297297296296295295296297295296295294295294293293292292293293292292293292292292292291293293293294294294294294295295295296295294291291290293294293293294294294295296295295295294294294294295295295295295295295295295295295295295295295295295295294296296297296296296296295293296296295295295294294294290291292291290290291290290292291291291292291290291291290289290290290289288289289287287289289288287287286286287286286285285284285286285285284284284283283282283282281281283283283282281282283285284285286285285286285285285285285286286286286286286286285286286286285284284283283284284285285285285285285283286285285285285285285287287287287288287289288288288288288288289289289288288287288288288287286286284284285284283283283283283282283284283284285284286286287286286286287288287287287287286286287286286285285285285284284284283283283283283282282282281281281281281281281280281281280281281281282283283285284285285286286286287286286286285285285285285284284283282282282282282282282283283283284284285286286286285285285285284284283283282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282282281281281281281281281281280280280280280279279279279279279280280280280280280280279279280280279279279279279279278278278278278277278278278278278277277277277277277277277277277277277277277277277277277277277277276276276276276276276276276276276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281999999285282281282281284286286287290291291290291292292293294295296295295294296295295295295294294294293294295294296296296295295296296296296295296297297297298297297297298299299299298298300299299300301300298299299300302300299299299299299298297299300300300301299299299300300298299299299301301302301302300301301301301301301301300300299299298297298296296296296296296295296294294295295295295296297298297297297296296296296297295296295295295295294294293293294294294294293293293293293294294294294294294294295295295295296296296296295294292293292295291292293293294294295296295295295294295295294295293294295295295295295295295296295295293294294295293296296295296296296296295295293296295296296295294293291290289291291290290292293292292292291290291291290290290291290290290290290290290289290290290289288287287287287287287286285286286285286286285284284285284284283283282283283283282284284282282283284285285285286286286285285286286285286286286286286286286286286286286285284284285284284285285285285285285285285285285284284284285285286286288287287288289289289289289288289289290289288288288288287287287286287285284285283284284284284283284284284285285285286287287286287287287287287287288287287287287287287286286285285285284284284283283283283283282282282281281282281281281280281281282282282282283283284285285285286286287287287287287286286286285286286286285285284284283282282282282282283283284284285286286286286285285285285284284284283283283283283283283283283283282283283283282282282282282282283283283283282283282283282282282282282282282282281281281281281280280281281280280280279278279279279279279279279279279279279279279279279279279279279278278278278278278278278278278278278277277277277277277277277277277277277277277277277277277277277276277276276276276276276276276276277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281999999999284288286283285284284285287290292292291291292292292294295296291296295296296296295295295294294294294294294295296296296296296296296296295296297297297297297297297298298299299300299298299298298297301298299299299299301300299298298298298298297300300297300301301300300300301299300301301302302303301302302302301302302302301301300298297301298298298296297297296297296296295294295296295295296298297297298297298297296296296296296296295296296296295295295295295295294294294294294294295295294294294294294295295295296296296296296296294292293293292292293293294295295294295295295295295295295295292293295296296295295296296296295296295293291292292293293295295295296296296296296295295296295295295293294290289289290291290289291292293291291291291290291291291292290291289291291291290291290289288289289289288287287287286287286286286286286286285286285284285285285284284283283283282282282282281282285283283285286286286286286286286286286285286287287287287286286286286285286285285285285285285284285285285285285285285285284284287287286288286288288288288289289289290290290289289289289289288287288288287287286287286286286285285285284284284284284285286286287286287287288286287288288288288288288288287287287287287287286286285283285285284283283284283283283282283281283283282282282282282282282283283283284285285286286287288288287287287287286286286286286286286285285285285284284283283283283283283284284285286286286286286285285285285284284284283283283283283283283283283282282283283283283283283283283283283283283283283283283283283282283283283282282281281281281280280280280281281280280280279278278279279279279280280279279279279279279279279279279279279279278278278278278278278278278278278278277277277277277277277278277278277277277277277277277277277277277276276276276276276276276276277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293290285285286287286287291292293292292292293293295295296296295296296296296296296296296296295295295294295295296296296296296297296296296296297297297297297297298298298299299299298297298298297298298299299299300301299297298298299299299299300299298299300301301300302301300300301302302302302302302302303302302301302301301300300300299301300300298298298299297297296296296296296296296296298298298298298298298297297297296297297297297297295295295296296296295294294295294295295295294294293294294294295295296296296296296297296296295293295293293293293293294295294293294295295293293293293293293293296296295295294295297296296296294293291291292292295294294296297295294297296296295294294294294293294293293291292292292292290292292291290291291290291291291291291290290291291291291290289289289290289289288287287287286287286287286286286286286286285285284284284283284283283282282283283282282283284284284284286286286285286286286286286286286287287287287287286286286286286285286285286285285285285285285285284284286286286286287287288288288288287289289289289290290290290289289289289289288287287287287286287286286284285286285285285283285284284285286286288288288288288288289289289289289288288288288288288287287287287286285285285285285285284283283283283283283282283282282283282282282282283284283284284285286286287287288287286286287287286286286285286285285285285285285285285284284283284284284284285286286286286286286285284285284284284283283283283283283283283283283283283282283283283283283283283283283283283283283283283283283283283283283283282282282282281281281281281281281281280280280279279279279279279280280279279279279279279279279279279279279279278278278278278278278278278278278278278278277277277277277277277278278277277277277277277277277277277276276276276276276276276276277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281999999999288285285288291292292293292293292292293293294295295295295296296296296296296296296296296296295296294296296296296296296297296296297296296297298297297296297298299299299298297297298298298296298298298299299300300299298298298298298300300301300301302302302301300302301301301302302302303303302302302303303303303301301301301300302302301301300299300299298298296298298297298297297297298298299299298298298298298297297297297298297297296296296295296296296295295295295295295295295295294294294295295295296297297297296296296296295295295295295294293294293294294294293293295293293295292293292294295295296295295295295296296296294292290291292292294292293294295296296296297296296296295295294293294293293292292292291291292291292290290289290290289290291291291290290290290290290291290289290290289289289288288287287286287287287286286286285286285286285285284285284284284284283283283283283284285285285284286286286286286286286286286286286287287287287287287287286287287285286286286286286285285285285284284286286287287286287287287288288288289289289287288289290290290290289289289289288287287286286286286285285286285285286285285286284285284285286286285286287288288288289289289290290290288288288288289289288287287286286286286286285285284283284284284283283283282282282282283283284283283284284284284284285286287288287287288287287288287286286286285286285285285285285285285285285285284285285285285285286286286285285285284284284284284284283283283283283283283283283283283283283283284284284283284284283284284283283283283284284284284283283283283283282283282282282281281282281281281281280280279280279279279279280279279279279279279279279280280280279279279278278278278278278278278278278278278278278278278278278278278278278278278278277277277277277277277276276276277277277278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291296291285999286287288291293294294293292292292292293293294295295295295295295295295295295296296297297297296296296295296296296295296296295297296296295296297297296296296298297299298297297298298298298298298298298299299300299299299298297298299299299300299300301301302301300301301302302302302303304304303303303304303302301301302302303303301301302300300300299298298298297298299299299298298298298299299298298298298298298298297298297298297297297297297297297297296296295295295295295295295295294294295295295296297297297297297297297296295297297297296295294294294294294293294294295296297296296294294294295295296296296295295295296294293291291293292292293293293294296295296296296296296296296294294292293292292293293292292293291291287289289288287287289290291291290290290290290291291291291291290290289289289288288288287287287287287286287286285286285285284285284285284284285285284284284284285285286286285286287287286287286286285286286286286287287286287287286287287287287287286286286286286284285284283286286286286287286286287287287288288288287289289289288288287287287289287287287289288286285285285287287288287286284286286286286286285285286287287287287287287288290289290289289289290289289288288288289289288287287286286286287286286286286286286286285285284285284283283283284283284283283284284284284284285285286287287287288288288287287287286286286286285285285285285285285285285285286286285286286286286286286286285285285284285285285284283283283283284284284284284284284283283283283284284284284284284284284284284283284284284284284284284284284283283283282282282282282282282281281281280280280280279279279279279279279279279280279279280280280280280279279279278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278277277277277278278278278277278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288286287288290291293294294293293293293293293294294294294294295295294295295295296296297297296297297296296295296297297296296296296295296296295296297296296297298297298298297298296296295296298297297297298299299300299299299299298299299299300299300301301301301301301301302302302303303303304304302304305305302303303302303303302302302302301300300300299299300299300300300299300299298298299300299299300299299299298298298298297299298298297298298298298297296296296296295296296296296295295296296297297297297297298297297297297296295298297296296295294295295295295295295294296297297296296294293293295295295295294293295294293293292292293293292294293293294295296296295295295295294293296294294293293290292293293292293293291288288288289288287291289290291291291290290291291291291291291291291290289289289289289289288288288288287287286286286286285285285285285285285285285285284284285285286286287286286287287287286287286285286286287287287287288287288287287287287287287287286286286285284283284284284286287287287287286287287287287288288287287287287287287288287287289289288288288288288286286285285286285285286285287286286285286285285286286287286287287288289288288289289289289288288289288288288288288288287287287286286287287286286286286287287287287287286286285284284284284283284283283283283283284285285286287287288288289289289288288287287287287287286286286286285286286286286286286286286286286286287287287286285285285284285285284283283283283283284284283284284284284284283284283283284284284284284284284284284284284284284283283283283284284283283283282282282282283282282282282281281280280280280280279279279279279279280280279280280280279280280279279279279278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278278277278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291289289291292293295294293292293292292293293293293293293294294294294294295295296296296297296296296295295295295296295295295295295295295295295295296296296296297296297297296296296296297296297298297298298299299300299298297297299299298299299299300301301302302302300301302302302303304305304304304303304304302304303304304304303304302302302302302301300300301299301300300300300299299299299299299299299300300301299299299298298299298298299299299298298297296296296296296297297297296295296297298298298297298299298298297296296299299297297296296295294293294295295296296294296296296295294293293293294293292293292293292291291293290294293292294294294294294295295296296296295294295292294293293292291290292293291291291290290289290290289289289290290290290290290290290291291290291290290290290290290291290289290289289289287287287287286286286285286286285285285286286286286285285285286286287286286287286287287287288287287287287287287287287288288288288289288287287286287286286284284283287287287284286287287287288287286286287287287288288287287287287286287287287288288288289289289289289287285285285285287287284284287286285284284285285286287287287287288288288289289289290289289288289289289288289288288288287288287286286287287286287287287287287288288288288288286287286285285284284284283283284285285285286287288288288289289290290290290289288288288288288288287286286287287287287287287287287287287287287287286286286286285285284284283283283283283283284283283284284284284284284284283284284284284284284284284284284284283283283283283283284284284284283283283283283283283283282282282282281281281280280280280280280280280280280280280280281280280280280280279279279279279279278278278279279279279278278278278278278278278278278278278278278278279279278278278278278278278278278278278278278277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293292292295296294294294293293293292293293293293293294294295294295295295295296296296297296296296296296295295296296296295295295295296295295295296295295296296297297296296296296296296297296296297297298297299300299299298297299299298298299298300301302302303302302301302301302303304305305305303303304304303303305305305305305305303304303302302301301301302301299299301301300300298299300300300300300300300300299299299299299299299299299299299299298297297296297297297297298298298297297298298299298299298299299298298296298298299299299298298295294293293294294295296296295297296295292292291292293294295294291294293291292290293293292292294294294294293295295295296295295295295295294293293292291290290291292292292291290291290292291291290291292290290289289291291291291290291291289289290291290290290290290290290289289287287287285285286286286286286286286286285286286285285286286286286287286287286286286287288288287287287286287287287287287287288288288287286286286285284288288286287287287287286287287287287287287286286286287288288287287288288288288288288289289289289290289289289288286288285285283287287286287287286285286286286287287287288288288290290290290290291291289289290289289289289289288288288288288287287287287287287287287287287287287287287288287288288288288287286284284283284285285286286287288288289289290290291291291290291290290290290289289289288288288289289289288289289289288288288288287286286286286285285284284283283283283283283283283284284284284284284284284284284284284284284284284284284284284283283283283283283283283283284283283283283284283283283283282282282282281281281281280280280280280280280280280280280280280280280280280280280279279279279279279279279279279279279279278278278278278278278278278278279279279279279279279278278278278278278278278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296290291295296295294294294293293293293293294293293294294296295295295295295296296296296296296295296296296296296297296296295295295295296295295295296296296296296296297296295295297296297296297298298299297298297299299298297297298298298298298298298300301302302302302300302303304304304303304304304304304304304305305305305305306304305303303302303302301300302301302301301301300299298297299301300300300300301299300300299300299299300300299299299299299298298297298298298297297298299298298299299299299299298299299298299298298298298299298298296295295294293294294295295294296296295294293293291292291294293292294293294292291292292293294294294293294294293294294295296295293294295294294292292293292291290291291290291290290290291292290290289288292289290291291291292291289289290290287288288289290290291290290289289288288288286287287286287286287285287287286286286285285286286286286286286287287287287287287287287287287287286287287287286287287288287288286287286286284288288288288287287287287286287287287287287287286285286286286287288288289289289288289289290290290289290290290289288289289288287286286287288288287287286286287287288287287288289289288290291291289289291289290290290289289289289289288288288288288288288288287287287287287286287287287287287288288289289289288288288288287285285285286286287288288288289290290290291291290291291291291291290290290289289289289289289289289289289289289289288288287286286286286285285284283283283283283283283284284284284284284284284284284284284284284284284284284284284284284283283283283282283283283283283283283283283283283283283283283282282282281281281281281281280280280280280280280280280280280280280280280280279280280279279279279279279279280280279279279279279278278279279279279279279279280279279279279279278278278278278278277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298295289288292294295293294294294293293294294294293293293293295296295295295295296296297297297296296296297297297296297298297295296297296296295295295296296295295295296296295296295296296297298298299299298298297297298298299299298298298297298297296297299300301302301301301302303303304304304304304305304304304304305305305305306306304304305304303302302303301300301301302300300300299300299302301301301301300300301300301300300301300300300300300300299300299299298297297298298298299299299299298298298299299298299298300299299298298298297298298297296296295295294295296296296296295295297294293292292290292293292293294295295293292293294294295294293292293292293295296295295297295295295293294294293291288289289290288289289289290291290287288292288292290291292291291291290288287287287291287288289291290290291290290289288288287287286287288287287287285287286286286286288287287287287287287288287288288288288288288288288288287287286286286286287287287287287286286288287289289288288288288288286287285287287287287288286286286286287287288288289289289289289289290291291291290291290290290289289289289289287287284288288287286287287287288288288289289289290288290291291290291288291290290290289289288288288288288287287288288288287287287287287287287287287288287288288288288288289289289289288288287286287287287288288288289289290290291291291291291291290291290291290290290290289289289289289289289289288289289289288287287286286286285284284284283283283283283284284284284284284284284284284284284284284284284284284284284284284284284283283283282283283283283283284284284283283283283283283283282282282282282282281281281281281281281281280280280280281281281281281281280280280280280279279279279280280280280280280280279279279279279279280280280280280280280280280279279279278278278278277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296292289288291292293294294294294293293293294294294293293294294295295295295296296296297298298298297296297297297298298298298297297296296296295295295295295295294295295294295296296296297297297297299299298298298298298298300299298298297296296296295294297299299300300301300300302304304304305305304305305304304305305304305304305304305304304304303303303302302303303303302301300300301301300301301302301301301302302302302301301301301301301300299299299300299298299297298299299300300300300299298300299299301300301301299299300299300299298298298297297297296296295296296296296296296294297294296293292290294294294295296295296295293293295292293295294292292293295296296296296295297295294292294293291292288288290289288288290293289289292293292288292292292292292292292291291288288288288289289290290291291291291291290289288288287287287288287287287287288287287286286287288288288288288288289288288288288288288288288288288288287287287287287288288288286287286286286288289288289289289289289286286286288286285288287287287287287287287288289289289289289289289290290290291291291291292291290289289290289288289288287287288287288288288288288288289290289290291289289290290289289290290290290290290289289289288287287287287288288288288287287287287287287287287287288287287288288288289290290290290289288288288288288289289289289290290290290291290291291291291291291290290290290289289289289289289289289288288288288288288287287286286286285284284283283283283283283283284284284284284284284284284284284284284284284284284284284284284284284283283283282282282282282283283283283283283283283283282283282283283282282282281282282281281281281281281281281281280281281281281281280280280280279279279279280280280280280281281281281281281281281281281281281281281281280280280280279279279278278278277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291289287288292293294294294293294293293293293294293293293294294295295295296296296296297297296298298298297297298297298297298297296296295296295295294295295295295295296295295295295296296296297297298298299298298299299298299299298297297295294294298292296298298299300301301302303304304304305304304305304304305305305305306305306305305304304303302303303303303304304303301302300301302301300302302302301301301303303303303302301301301301299301301300298297299299297299300300301301301300300300300301300300301301299300299299300300301300299298298297297296296294294295296296296295295297297295293292293293291295294295296293295295296295294294294293291292291293295296294296295296295293293291293292292288288288290289289291292292287289293293292292293293293293292292292291292290291289289288288291291291291291291290290290289288288288289288288288288288289288288288288289289289290289290289289289288288288288288288288288288287287287287287287288288286286286286286286288289289290290290289289287287288288286287287287287287287287288288288288289289288290290290290290290291291292291292290290289291290289288289289287287288288287288288288289289289290291292291289289290289289291290290290290290290289289288288288288288288288288289289288288287287287287287288288288288288288288288290290291290291291290288288288288289289289289290290290290290290290290290290291291291290290290290289289289289289289290289289289289289288288287286286285285284284284283283283284283284284284284284284284284284284284284284284284284284284284284284284284284283283283283283283283282282282283283283283283282282282282283283283283282282281281281282282282281281281281281280281281281281281281280280280280280279279280280280280281281281281281281281281282281281281281281281281281281281281280280279279279278278277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288288290294295294293293293294294294294294293293293294294295295295296296296296296297297297298298299297297298298298297297296297297296295295295295295296294296295295296295294294296297296297297298298298298297298298298298298298295295292999999290293297299298299301301301302303304304304304304304304304303303305305305306304305304305304304302302303302302303304303302301301301302302301301302302302301301302302302302302301300301301303300301301299298298299297298300300299300300300300301301298300299298298301299301300300300300301297298297297297297296297294294296297297296295295295295292291293293292296296295294291291293294294294293291292292291292292293295296295296296295295293292292294292290288293293289292293293293292292292291292292292292293292292292292292290291291291291291290288291291291291292291290290290289290287287288288288288289289289290290290290291290289290290291290289289289289289289288288288288287288287287287287287286287288287287287287287289290290287290290289289288288287289288288289288288288288288288289290288289291290290291290291291291292292293292291290290291291290290290289289288288288288287288289289289290290291291291292289289290289289290289289290290289289289289288288289289289289289288289289288288287287287287287287288288288289289289289290291291291292292291289288288289289289289289290290290290290290290290290290290291291291291290290290289289289289289289289289289289289288288287286286285285285284284283283284284283283283284284284284284284284283284284284284284284284284285284284284284283283283283283283283283283283283283282282282282282282282282282283282283282282282282282282282282281281281281281281281281281281281281281280280280280280280280280280281281281281281281282282282281282282282282282281281281281281281281280280279278278277277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999298296292291292295295295294294293294294294294294293293293293293294294295295295296296296297296297297298299298297298299298298297297296297297296296296295296295295294295296296296295295295296296296297297298298298297297297298298297298296293297999292295297299299298300302303302302302303303303304304304303303304304304305305303305306304305305303303303301302303303303303302301301302301301301301301302302301301302302302302302301301301301303302299301300299302297298298300301300298299299298299300300299299299298298298299300299299299299299298298297297297296296296296295298298297296295296295293295294293294295296295295293294292292292292292291290293293293292292294294295295293296295295295293293294292290289290289289289289289290290289292292292292291291292291291292291291291291292292292292291292291291291291291291291290290291290288288289289289290290290291290291290290290289289290290290289288288288288289288288287287287287287286286286286290288287286287288287287287287287288288288289289289289289288288288288288288288289289289289289289290289290290291291290291292292292292293292291291291291291290290290289288289288289288288289290289290290291291291291290290290290289291290290290290290290289289289289289289289289289289289289289288288288287287287288288289289289289290290290290292291293293292292291289288289290289289289289290290290290290290290290290290291291291291291290290290289289289289289290289289289288288288287286286285285285284284284283284284284283284284284284284284284283283284284284284284284284284284284285284284284283283283283283283283283283283282282282282282282282282282282282282282282282282282281281281281281281281281280281281281281281281281280280280280280280280280280281281281281281281281282282282282282282282282282282282282282282282281281280279279278277277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999301295295295296297296294293294294294294294294294292293293293293294294294294295294295295295297297297297297298298298298298297297297297296297297296295296295295295295295295295294295295295296295295296297298297298297297297298297296296297296292297295294297298301300300301302302302302304304302304303304303303303303304305305303302304305305303303303303303302304303304303303302302301301302301301301302302301302302302302301301301301301300300300300299300300300299299300300300299300298299299299299299299299299298299301299300300300299299299299299297297298299297296296296297298298297297295295296296295295294294296295294294294295294292293290293292291293293293293292292296294294293292295294295294293294293292290290290290289290288290289289289289289289290290290289291289290291292292292292289292292292291291291290291291292290290290290289290290290290290291291291290291291290290290290290290289288287287288288287287288289288288288289289289290290290290290286285285290287288289289289289289290290290290289290289289289289289290290290288289289290290290291291291291291291291293292293293292291292292292291291291291290289289289290289290290290289290290291290290290290290290290289289289290290290290290289289289290290290290290290290290290289289289288288288288288289289289289290291291291292292292293293293292292290288289289290289289289289290290290291290290290290290291291291291291291290290289289289289289290290289288288288288287287286286285285285284284283284283283284283283284284284283283283283283283283283284284284284284285285284284284284283283283283283283283283283283283282282282282282282281281282282282282282282282281281281281281281281281280281281281281281281281280280280280280280280280280281281281281281281281282282282282282282282282282282282282282282282282281280280279278278277277277277276276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299294293292294297299296294294294295295294294293293293294294293293294294294295295294294294295295296297297297297297297298297298297297297296296297296296295295295294295295295296295295295295295295295295296296298299298297297298297297296295297297294297295297299300301300301302301301302303302302303303303303303303303304304304303303303305305303303303303303302302304302304304302302302302301301301302302302302302302302301301300299299301299299300300298300300301302301299299300300299299299299299299299298298298299300300299299300301301301300299300301299299298298298298297298298298298296294296296296294294292297295297295293293291293294291289287288292294294294293293292292295294294292293294294293295295294292291291292291289291289290291291290289292293290288289288288289290292292292292292292291292292289290290291291291291290290290290290290290290291291290291291291291291291291291290290290289288287287288286287285287287287288288286289287289289285290286287287287286287288289289290290290291291291291290290290290291290290290290291291291289291291291291291291291292291292292293293293291293293292292292292292292292290289290290291291291291291291290290290289290290290289290290291290290291290290290289289290290290290290291291290290290290290290289289289288288288289289289290291291292292293293293293294293293292291289289289290289289289289290290290291290290290290290290291291291291290290290289288288289289289289289289288288288287287286286285285285284284284283283283283283283283283283283283283283283283283283284284284284285285285285284284283283283283283283283283283283283283282282282281281282281282282282282282282282282281281281281281281281281280281281281281281281281281280281281280280280280280281281281281281281281281282282282282282282282282282282283283283282282281281280279278278277277277277276277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295295294295296298298296294293293295295295294293294294294294294294294294294294294294294295294295296296297297297297297297297298297297297297297297297297296295293294294294296295295295295295295295296295296297297297298297297297297297296297296295297297298298299300300300301302302302302302302303303303303304302303305303303304302303304303304303303303303303304302302302301303302301301301301302301301301301302302302302302301300299299299299298297300301302299299300300300300301299299299297299299298299299298298300299300299300300301301301301301300300300300299299299298298297298298297297294295294295294296295294294297296294296291292292292292289287288293293293293294294293295295295294292292292293294292295294293291291292291290291291290290290290290290289289289288287289291291292293292292292292291291293291291290291291291291290290291290290290290291291291292291291291291291291291291290291290288287289288288287286286287290287289289289290289288289287287287288287288286288289289290290290290291291292292291291291290290290290290291291289290291292292292291291291292292292292292294293294293293293293293293293293292291291291290290291290291291292292292290289291289290290289290291290290291291291290290289290290290290291291291291291291290291290290290289289289289288289290290290291292292293293293293293293293292292291289289289289289289289289289289289290290290290290290290291291291291291290290289289288289289289289289288288288287287286286285285285284284284284283284283283283283283283283284283283283283283283283284284284284285285285285284284284283283283283283283283283283283282282282282282281281281282282282282282282282281281281281281281281281280280281281281281281280280281280280280281281281281281281281281281281281281281282282282282282282282282282283283283283282282281281280279278278277277277277277276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300296296292295297298296295293293293294295295294294294294294294294294294294294294294294295295295295295296297297297296296296296297297297297297297297297297296295294293294295296296295296295294295295296296296296296297298298297296296297297297298297999295297299299298298299300300300301302302301303302303303304304302302302303303303301302303303303303302302302302303303301302302301301301301302302301301301301301301301301302301300300300301299300299300300300301301299300300299298298299299298297298298299298301298299299298299299299301301301301301300300300300300300299299298299299298298296293292294294294292292294294292297293291294290292292294292286286290293295292291294293296295296295294292291293294294293292293293291291290290290291292291291290291290290293290290290290291291290291291291291291291291291292291291292292292291290290291291291291291291291290291290291290291290290290291291291291290289289288289288290290288289290290288286286290290288286287288288289289289289287289290289291292291291292292292292292291291290291291291291291291292291292292292292292291291292292292293295294293292293292293292292293293292292292291290292292291292291291291289290291290288289290289290290290290291291291290290289290290290291291291291291291291291291290290291290290289289289289290290291292292293293293293293293293293292292291289289289289289289289289289289289289289290290290290290291291291291291291290289289289288288288288287287288288287286286286286286285285284284284283283283283284284283283284284283283283283283283283284284284285285285285285285284284284283283283283283283283283283282282282282282282282282282282282282281281281281281281281281281281280280280281281281280280280280280280280280281281281281281281281281281281281281281282282282282282282282282283283283283282282282282281280279278278278278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293298298297292295295295293293292294294295295294295295295294294294294294294294294294294294295295295295295296297296297297297297297297298297297297297296296296296294294295295296296295296296295295295295296297297297297297297297297297297297297297297297999999298298300300300300301300300301301301301302303302302303303302301302303302301302303303302302302302302302303302301300301301301302302301301301301301301302302302300301300299300299300300299300300300300301300299300300299300300298298299299298299298299298298299299299300300300301300300300300300300300300299299299298297298298297296297295290291294294293293292293295295295295290296293292293293290286283286291293292292293294294295295295295294295293293291292292292292292291290290289288290292292291291291290291290290290291290291291291292291290291292292291291292291292292291290292290290291291292291292292292291290291291291291290291291291291290289287288288289290289290290287286287287288289288286286288289288288289290290289289290291291291291292292292293293291292291291291291291291291291292291292293292292292292292292292292292294294293293293294293293293293293293293292290290292291290291292292291291291290290290289289289289289290291291291291290290290290289290290291291291291291291291291291290290291290290289289289289290290291292292293293293293293293293292292292291289289288289289289289288289289289289288289290289290290291291291291291291291290290290289289288288288288287287287287286286286286285285285285284283283283284284283284284283283283283283283283283283284284284285285285285285285285284284284283283283283283283283283283283282282282282282282282282282281281281281281281281281281281281280280280281280280280280280280280280280280280281281281281281281281281281281281281281282282282282282282282283283283283282282282282281280279278278278278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294294293292291292292292292293294294294295295295295295294294294294295294294294294294295295295295295296296296297296297297297297297297297297297296296296296295295295295296296295295295295295296296296296297297297297297297297297297296296297297298298295297299299300300300299300300301302300301300301302302301302302301301301302302301302303303302302302301302301300300301302302301301301301301301301300301301301301301300300299298300299299299298300300300299299299300300300300301300299299299299298298298299299299299299299300300300300300300300300300299299299299298297297297297297296294294294292292294293294294295295295293293294295295291292291295293289283284288293293293294293294295295295294293295291291291291292292292289292290291291291292292292290290291291291292290290290291291291291291291291291292291291291291289293289291291291291291290291291291291291292292291291292291292291292291290289287287288289287287287287288288287287289289288290289288289289289289289288290291290290290291292292292292292292293292292293292292291291292292292292292292292291291291292292293292292292292293294294294293294293292292291293293293292291290291292293292293292292292290290291289290290289289289289291291291289290290290290290290292292292292291291291291291291291290291291290289289289290290290291292292292293293293293293293292292292291290289289289288288289288289289288289289289289289290290290291291291291291291291290289290289289289288288288287287287286286285286286285285285284283283284284284284284284283283282282282282283283283284284284284285285285284285285284284284284283284284284283283283283283283283283283283283283283282282281281281281281281281281281280280280280280280280280280280279280280280281281281281281281281281281281281281281281281282282282282282283283283283283283283282282282281280279279278278278277277277276 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299296295292289289290292291292292293295295294295295295295294294294294294295294294294293294294295296296296296295297297296297297297297297297297297297296296296296296294295296296296295294295293295296296296296297297297296296296297297298297297297298298299298298299299299300300299300300299301300301301300302301300301301300300300300301301303302302301301301301301301301301301301301301301300300299302300300301302301301300299298299299299298299297300299299300299299299299299298299299300300299298298298298299299299299299299299300299299299299298299299299300297298298298297295297296296295294293295292293294294293295295296296294296295295295295293292294294288283282284292294293293294294294294293293292294294291292292293291290292291291292291291292291291291290291291290291290290290290290289290291291293293292292292291292293292292290291291291290289288291289290290291291292291291292289290289289287287287287288288288288289289288289290290290290289289289289289290290289289289290290290291291291292292293291292291293292292292292292292292292291291291292291291291291291292292292292293292292292292294294294294293291291292293292292291292292291291292292293292292291291290290291291290290290291291291290289289289290290290290291292292292292291291292291291291291291291291290289289290290290290291292292292293292293293293293293292292291290289289288288289289289289289288289289289289289290290290290291291291291291291290290290290290289288289288288288287287287287287286285285285285285284284285284284284284283283282282283283283283284284284284285285285285285285285284285285284284284284284284284284284284284284284284284284283283283282282282281281281280280280281280280280280280280280280280280279280280281282282282282282282282282282282282282281281281281282282282282282283283283283283283282282281281280279278278277277277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294292288286288291291292293293294294294294295295296295295294294294294295295295293294294295295296296296296296297297296297297297297297296296297296296295295295296296295297297296295294296295296296296297297298297298297296296296297298298297297297299300299299300299300300300300300299300300300300300301302301301300299300299300301300301301301301300300300300300300300301302301300301300300299300301300299300300300300299297299299298299298299299298298299300299300299300300298299299299299297295300296298299299298298299298299300299298299298300298297297300299298296297296295295295299294295294294294292295293292293294295296295296296294293291295294294293289284282286292293294294294294294295294292292295293291292292292292292292292294292292292292291289290289289289289291290291289291292291291294293293293292293293293292293292292292291291290289288291291287288290289289289290289290289290288289287287287288288288288288289290290290291290290289289289289290289290289290290290291290291291291292292292292292292292292292292292292292292292291291292292292291291291291291292292292292293293291292293293294294293293292292292293292292292293292292292292292292293290291291291291290291291289291290290291290290290290290290290291292292292292291291291292291291291291291291291291290290290290290290291292292293292293293293293292293292291291291290289288288289289289289289289289288288288289289289290291291292291291291291291291290290290289289289289289289289289288288288288286287286285285285285285284285284284283283282283283283283283284284284285285285285285285285285284285284284285285285285284285284285285285284284284284284284284283283283283282282281280280281281280280280280280280280280280280280281281282282283283283283283283282282282282282282282282282282282282282282283283283283283282282282281280280279278277277278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293292291289290291291292293294293293294294295296296295295295295295295295295295294294294295295296296296297297297296296297297297297296296297296295295296295295296296297297295296296296295296296296296297297298297297297296296297297298298298298298299299299299300300300299299299299300300300301300301301301301300299299299300301300301300300300300300298299299299300300300300299301299300300300299300300299300299299299298298298301298297297299299299299300300300299299299298298298298298299298298298298299298298298298299299298299298298297297300299297299299298298296297297295294294295295295294293293293292292294293293296295295295295293293291294293295292290286285288291293294294294294295294294292295295295290290289291291292292292292292290290290290288288293293289289291290292292293293293293294293293293293293293292292291292292291290289289288290289289289287288289290289289290289291291290290288287288289288289289289290290290290290289288288290290290289289290290290290290290292292292291291292292292292292292292292291291291292292292291292291291291291292291292292292291291292293291292292293293293294294293293293294293292294293293292293293293293292293293292292292292291291290289289289291291291290290290290290291291292292292292291291291291292292291291291291292290290290290290290290291291292292292293292292293293293292292291291291288288289289289289289289289289289289289289289289290291291292292292292291291291291290290290289289289289289289289289289289289289288287287287286286286285285285284284283283283283283283284284284284285285285285285285285285285284284284285285285285285285285285285285285285285285285284284284284283283283282281281280280280280280280280280280280280280280280281282282282283283283283283283283283283283283283282282282282282282282282282283283283283282282282281280279278278277277278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292291290290291291292293293293293293293294295295295295295295295295295295295295295295296296295295296296296295296296296297297297297296297296296297296295295295295296297297295296297296296296296296296297297297297297297297297297297298298298296298299299299298299298300300300300299299300300301301300301300300299299299300300300300300300300299299298298299299299299300300300299300300300300299298300300298299298300299299299300300299299298299298298300300300300299299299299297299298297301301298298299299298298298299299298298299298297297297297297296296297298296296297297295294294296296294295293294293293293294293295293294293294294293294293293295295295290287284286290294294294294294294294294292292292290291291291290290292292291293288289288289288289287292288290292292291291292292293293293293294293293293293292292291292292292292291291290291290289290290291290289289291291290291291290291288289288288288289289289289290290290290289290289289290290290290290290290291290290291292292292291292292292292293292292292291291291291292292292292291292291292292292292291291291291291293292292292291293294294294294295293294295294294293293293294294293294293293293293293293292292291291291290290291291291290289289289290291291291292292292292291291291291291291291291291291291291290290290290290290291291292292292292292293293293293293293292291291290289289289289288289289289289289289289289290290291291291292292292292291291291290290290290289289289289289289290290290290290289289289288288288287287286286285285284284284284284284284284284284284285285285285285285285285285284284284284284284284284285285285285285285285285284284284284284284284283283282281281280280280280280280280279280280281281281281282282282282283283283283283283283283283283283283283283283282282282281282282283283283282282282281281280279278278277277278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288287290290288289290290291292292292293293293293294295295295295295295295295295296295296295295296295294295296296295296296296296296296297296296296297297297296296295294296296297297297297297296296297297296297297296298298298297297297295296297298297297299298298299298299300300299299300299300300300300300300300300300300299299299299299300300300299298298298298299299300299300301300299300299300299299300298298298299299300299300300300301300300300299299300301301300301300299299298298298297299299300299300300299298298298298299299299298298298299298297297298296296296297298298294297295296295295295295293292293293293292292293292292293294294294294293293292291292291285281284289293292293293294293294294293294292290294292290289294291293294291292293289289289291291292291293293292291292293292293293293292294294293293293293293293292291292292292292291290289288289290289290291291290290289288288288289289288287287288292290290291290291291289290291291291291291291291291290290291290291291291292292292293293292292292292292292291292292292292292292291292292292292292292292292292291290292292292292292292293294294295296295294294295294294294293294294294294295294293293294294294293292291290290290290291291290290290290290291291291292292292292293292291291291291291292291291291291291291291291290290290291291291292292292293292293293293293292292292291291290289289289289289290290290290290290290291291291291291292293292292292291291290290290290289289289289289290290290290289289289290289289289289288288288287286286285284284284284284284285284285285285285285285285285285285285284284284285284284284284284285285285285285285285284284284284284284284284283283281281280280280280280280280280280280281281281281282282282282282283283283284284284284284284284284283283283283282281281281282282283283283282282281281280279279278278278278278278277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294288287288286287289290291291291292292292293292294294294295294295294295295295296296296295295295294295295295295295296296296296296295295296295296296297297297296296295295296296297297298297297296296296297297297296298298298298297296294294295295296297298299299300299299298299300300300300300300300300299298299299299298300300299299298298299299299298299298299299299298299299300300300300299299299300299300299298297299300300299298300300300300299299300301301301301300300299299298299298297299299299299299299299299299300300299300299298297299299298298298298299300299299297298298297298295295295294293293294292293292293292294293293293295295294293292292293293291292290285280291291293293293293294294294294295294295293292293293291292294290294294293293294289291292292292293293292293292292293293293292293293293294293293292293293293293292292291291291291291289290291291289289289290289291288288291289288291292288291292290290290291291291291292292292291291291290292292291291291291292292290291293292293292292292291292292292292292292292292292291292293293292292292293292292292291292292293293292292293293293294294295296295295294295295293295295295295295295294293294294294293293293292291290291290291291291290290290291291291291292292292293293293292292291291292292292292292292291291291291291291291291290290291292292292292293293293293293292292292292292291290290290290290290291290291290290291291291291291292292294293292292291291291290290289290289289289290289289290290290290290290289289289289288288288287287287286286285284284284284285285285285286286285286286286285285285285285284284284284284284285285285285285285285285284284284284284284284284284283282281280280280280281280280280280280280281281281282282282282283283284284284284284284283283283283283283283283282282281281281282282283283283282282281281280279278278278278278277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289287284286287287288290290290291291291291292292293294294294294294295295295295295296296296295295295294296295295295296296296296296296295295295295296297297296296296296296295296297297297298298297297296296297298297297298297298298297295999295294294295298299300299299299298297298299299299299300300299298299298299299299299299299299298298298299298298298298298299298298299298299300300300299299298299300299299299298299300300300300299299299300299299300301300300301299299299298298297297297296298298298297298298297299299300299300300299298298297297298297297297299296296298295299298298297295295295295295294294294293294295293294292293294294294293293292292294293292291288284286290293293293293293294294293293295295294292291293294295294293291294293293294290291292293293293293294292292292292293293293292294294293294293293290292292293293292292291290291291290292291291290289290291291288288288291291291291291288288289290290291291291291292291292292292292292292292293293293292292293293291291291291293292292292292292292292292291292292292292293293293293293292292292292292292291291292292293293293292293294293294294295297296294295295295295295295295294294294294294294294294293293293292292291291291291291290291291291291290292292292292293293293293292291292292292293292292292292292292292291291291291291291291291292292292293293293293293293292292292292292291291290290290290290290291291291290291291291291291291292293292292292291291290290290290289289289289290290290290290290290290289289289289288288288288288288287287286286285285284284285285285285286286286286286286286286285285285285284284284284285285285284284285285284284284284284284284284284284284283282281280280280280281281280280280280281280281282282282283283284284284284284283283283283283283283283283283283283282281281281281281282283283282282282281281280279278278278277277277277 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290284284284286285288289288287288290291292293293293293294294294294294295296296296295296296296296295296295295295296295295296295295296295295294295296295297296295295296296297296297298298298298297298297296297297296297297297297297296295294294295294999295298297299299298298299298298299299299299300300298299299298298299298299298299298298298298298299298299298298300298298298298299299299299299299298299299299300299299300300300299300300299299299301300300301300300299298299299298296296297297296296297297296298296298298299299299299299298298298297297297297297298297297296295296298298298297295296294294295295293293296294294293293292293294293292291292292292291292292293288287289292292292293292295293292292292292292292293293295293293294293294293294294289289292292293294294293293292293293291293291291292292293293293293292292291291292292292292291290290291290290290289289288289290290288288291292291289289290289290291290291292292292293293292292293292292293293293293294293293293292293293293293292293293293293293293292293292292293293292293293293293293293293293293292292291291291292292291293292293293293294294294295296295295295295296296296296295295295295295294294294293293292292292291291292292292291291291291291292292292293293294294293293292292292292292293293293293293293292292292291291291291291291291292292292292293293293293293292293292293292292292291291291291291291291291291291291291291291291291291292292292292292291291291290290290289289289289290290290290290290290290289289289288288288288287287287288288287287286285285285285285285286286286287287287286286286285285285285284284284284285285285285285284285285285284284285285284284284284284284283282281280281280280281281280280281281281282282282283284284284284283283283283283283283283283283283283283283283283282281281281281281282283283282282282282281281279278278277278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283283999298999281283283286286288291289290289290290291293293293293293293294294294295296296296296296296296296295296295295295295296296295295294294294294294294295296295295295294295296295297296297298298298298297297297296296296297297298297297296296295294294294999999296298298298297297298298299299298299299299298298298299299298297298299299298298298298298298299299299299298298299298298299299299298299299298299299299300299299301300300300300300299299299299299299301301301300299299299299299298297297296297297298297297297298295297298299300298298298299298298296297297296298296295297296295294297298296295296297295294295294295295295294294294295295295293293293293293293292292292293292290287289292293294294294294295291292293292293293294295294294293293293294294294290292291291295294294294293293293293292289292292293293292292293294293292292291292292291290291292292292291290289288288289288289289290290289290291291290289291291292292291292292292292293292292293293293293293294294294294294293294294294295294294294293293293293293292294293293292293293293293293293294294294294293292291292291292292292293293293293293292293294293294295295295295295296296296297296295295295295295294294294294292293292292291291292292291292290291292292293293293293293294293293293292292292292292292293293293293293292292292292292292292292292293293292293293293293293293293293292293292292292292291292291291291291291291291291291291291291292291292292292292292292292291291290290290289289289289289289290290290290290290289289288288288288288287287287288288288287287286286285285286286287287287287287287287286286286285285285284284284284284285285285285284285285285284285285285285285285284284284283282281280280281280281281281281281281282282283284284285285284283283283283282283283283283283283283283283283283283282281281281281281282282283283282282282281281280279278278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291286285283999278280281285287289290290290290289290291291292292292293293293294295295296296296296297297297296296296296295296295296296295294294294294294293294293294294294294294295295295297295296298298298298296297297296295296297297298297297297298297294999999999999294296298299298298298298298298298299299299298298299298298297297298298297299299299298297298300299299299300299298299298299299299299299299299299299299300300299301299299299299298298298300299299299301299300298299300300299299299298297297297297297299299297297296297299299298298299298298297297297296297298298298297296296295294296296296295295296297296295294293293294294295296294293293293292292293293293293292293293293291287285292293293293293294295294293293294295294295294292295293295295294294293293292294292294294294294294293293294292292292293293294293292293293294293293292293292291291291291292292290290290289290292292292289291290290290291291292291292292292292291291292292292293292292292292293294294294294294294294294294294294295295294294293293293293294293294294293294292293293293294292294294293293293293292292292292293293293293293293293293292293293295295295294295295296295296297296296295296295295295293293292293293292292292291292292292291292292293293293293292293293293293292292292292293293293293293293293293293293293293293293292293293293293293293293293293293293293293293293293292292293292292292292292292291291291291291291291291291292292292292292292292293292291291290290290290290289289289289290290290290290290289289288288288288288287287287288288288288288287286286286286286287287287287287287287286286286285285285284284284284285285285285285285285285285285285285285285285285285285285284283282281281281281281281281281282282283283284285285285284283283283283283283283283283283283283283284284284284283282281281281281281282282283283283283282282281281280279278277278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999275275278282283285287289290290291292292293292292291291293294294292294295296296297297297297297297297296297297297296296296296295294293293293293293294293293293294294294295295296297296297298297298298298297296295295297297296297298298297297295294999999294295295297298299298298298297298298298298299299298297299298298297297297298297298298298298298298299299299299300299299299298299299299299299299298299298299299300299299300299299300299298299299299300300300300299299299299299300299299298298298298297297298298297299297298297298298298298298298297297299298298297297298297296295296295295294296295295295294294295296294293294295296296294294293292293292292292292292293293293293293289286291292293294293294294294292294294294294295294296295293293292293292293294294295294293293293292292292293294293292290290293292293294293294293293292292293291293292289289289292291290290289290290289289289291291291290291292292292291292292292291291292291292292292291292292293294294294294293294294294294294294295294293295294294295294295295295294294294293293293293293293294294293293293293293292293292292292293293293293293293292293294294294295295294296295296296296296296295295296296295294294292293293292293293293292292292292292294292293293293293293293293293293292292293293293293294293293293294294293294293293293293293293293293293294294293293293293293294294294293293293292292292292292292292292292292292292292292292292292292292292292292292293293292290290290290290290289289289289289290290290290290289289288288288288288287287287287288289289288288287286286287287287287287287287287287286286285286286286285284284284285285286285285285285285285285285285286285285285285285285284284283282282282281281281281282283283284285285285284284283283283283283283283282282283283283283283283284284284284283282281281281282282283283283283283282282282281280280278278278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294999276275275278283285285287290289289291292292293292292293293294294294294294295295296296297297297297296296296296297296296296295294293293292293292293293293293293294294294294295296296297297298298297298298298297296295294295295296296298298297296293999999295295296296299298299298296296297298296298298299299298297299297298298298298299298299299298298298298299299298299298299299299298299299299299298299299300299299300300300300300301301299299300300299299300301301299300300300299299299298298298297298298299297297297296299298297297298299299298297298298299297297296298297296296297296296296295295295296295296296295295296295294295296296295294294292292291291291292292293294293293292293290287292293293293293294294294292292293294292294295298296295295292292293293293294295295293295295292291293292292292291291292293294290293292294293292293292294293292294290290289290291289288289290291291291291292291291291291291292291291291292292291292292292291292291292292292293293294294294292294294294295295295295294294294294294295295295295295294295295294293294294294294294294293293294292292292292293292292293293293293292292293293294292293295294296296296296295296296295295295295295295294294293293293293294293292292293292292293294293293294293293293293293293293293293294294294294294294294294294294294294294294293294294294294294294294294294294294293294294294294294294293293292293293293293293293293293293293293293293293292292292292292292292293293292291290290290290289289289289289289290290290290290289289288288288288288288287287287288289289289288288287287287287287288288288288287287286286286286286286286285284285285285286285285285285285285285285285285285285285285285285285284283283282282282282282283283284285285285285284284283283283283283283283283283283283283283283283284284284284284284283282282282282283283283283283283282283282282281280279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292999278278280283285286287288288289291291292293292293292293294294294294293295295296297297297297296296296296297296296297296294292293293293293293293293293293294293293293294294296297299297298298298298297297297296295294294294292294296296296294292999296296297297297297300300299298296298298298298298298299296297298298298297298298299299299300299299299299299300300298298298298299298299298299297298298299300300300300299300300301301301301299300300300300301301300300300299299298298298298298299298299299299297296295299297297297297298299297297297299298298297299298297296296296296296297296295294295295297297297296296296297296295296297295295295293293292293293292292294294293292291291290290293294294294293295294293293292292293293295297295295295297292293294293293293294294294294293295293294294294294292291293294291294294291291290292294294290292292291291290291291290288289290291292292291290292291292292292291292292292292292292293292292292292292292292293293294293293294294295294294295295294295295295294294294294295295295295295294295295294295295294294293294293293293293292292293293293292293293293293293293292293294294293293294295295296297297296296296295295295296296295295294293293295294294294293292294294294294294293294294294293293293293294293294294294294294294294295294294295295295294294294294295295295294294294294294294294294294294294294294294293293293293293293294294293293293293293293293293293293293293292292292292292292292292291290290290290290289290290289290290290290291290290289289289289288288288288287288288288289289288288287287287287288288288287287286286286286287287287286286285285285285285286285285285285285285285285285285285285285285285285285285284283283283283283283283284285285286285284283283283283283283283283283283283282283282282283283283284284284284284284283283282283283283283282282282282282282281281280279278279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284280279279282284286287287287288289292293293293293293293292293294294295295295294295296296296296296296296296296296296295295294293293292292293294293293294293294294293294295297297298298298298298298297298297297296294294294295293293292293291292999298297296298296297298300300298298298298298297298298298297296297298298298297298298299299300300299298298299299300300300300299299300300300299298300300300301299301299298298299300300300300300299300300301301300301299300300300299299299299299298299298298299298298298298297297297297297297298297298299299298299298298298297297298297298298298296295295297296297297296296296296297296296296295295294295295295295294294295294295295294295292291289291292293294294293293293293293294293293293294293291294292292294296295296295295295293293293294294294293294295294292292294294294293289294294293293291291292292292292292291290289289290291291291291291290291291291292292292292292292293292292292293293292292293293293293294294294294293294295295295295295295294294294295296296295295295295296296295295295295295295295294294294293293293293293293293293294293293293293293292293293293293294294294294295295296296297297296297296296295295295294295295294294294293293294294294294294295295294293293294294294293294294293293293293294294295295295295295295295295295295295295295295295295295294294294295295294295295294294295294294293294293294294294294294294294294294294294294294293294293293293293293292292292292292292291291290290290290290290290290290290290290290290290289289289289289289288288288288288289289289289288288287287287287288288287286286286287286287287287286286286285285285285285286285285285285285285285285285285285285285285285285285284283283283283283284284285285285284284283283283283283283283283283283282282282282282282282282282283283284284284284283283283283283283283282282282282281282282281280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289285280279280283284286285286285286289291293294294293294294294294294294295295295295296296295296295295297296296297297296295295293293293293292293293293294294294294294294294296297297298298298298298297297297296296295294294294294292292291293294294999296297297297297297298298298298298299298298298298298298298298297298298297297298298298298297297298297298299299300299300298299300299300300300300301301300300299300298299298298300299299299299299300300300300300300299300300299298298298299299299299298299299298298297297297296299297296298298297296299299299299299298299298298298298298297295295295295297296297296296296295296296296296294294295294295296293296295294294295293293294293291292292292291292293293292293292293293293294294295295293292292292293294296296296295296296295294293292293294294295294292294293294295294293295294294291292292292293293292293293293292291291292292292292292291291291292292293292292292293293293293293293293292292293293292293294294294294295293294294294294295295295295295295296296295296296295296296296295294294294295294294294294293293295295294293294294293294294293293293293293293293293293293293294293295296296295297296296297297297296296295295294293294294294294294295295295294295295295294294294294294294294294294294294293294294294295295295295295295296296296295296296295296295295295295295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294293293293293292292292291291290291290290290290290290290290290290290291290290290289289289289289289289289289289289289289288288288288287288288287287287286286287287287287286286286286286285285285285286285285285285285285285285285285285285284285285285285284284284283284284285285285284283283283283283283283283283283283282282282282282282282282282282282282283284284284284284283284283283283282282282282281281281281281281281280281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296288281280279280282281286287288289291291292293293294294294294294292294295295296296296296293294296295297296295295296295294294293293293293294292293293293294294294294295295297298298299298298298298297298297296296295295295295295294294293294294295295295297297297297296298299299297298299298298298299299297297298298298298298297297297298298297298298298298298299299298299300299299299299300300300300300300300298299299299298298298299298298299299300300300300300299299300299298298298298299299299298298297299299298298298299296299298298298297298298299299298299299298298297297298295297296297295294295297296296295294296295294295295295292293294295296295293296293295296295293294294294292291292292291294294293292291292293293294292294295295295294294294295295295296297293294296295294294296294293295295295295294295295295292291295294293293294294294294294294294293293293292293293292292292292292292291291292293292293293293294294293293293293293293292293293294294294294294294295295294294294294295295295295296296296296296296296295296295295294294295294295293294294295293295295294294293292294294294294294294294293293294294294294293294294295296296295296297297297296297296297296295294294293295294295295295295293295295294295294295294294294294294294294294294294294295295296296296296296296296296296296296295296296295295295295296295295295295295295295295295294295295294294294295294294294294294294294294294294294294294294294294294294293293293293292292292291291291291291291290290290290290290290290291291291290290290290290290290289289289289289289289288288288288287288288287286286286286287287287287286286286286285285285285285285285285285285285285284284284285285285285285285285285285285285285285285285285284283283283283283283283283283283283283282282282282282282282282282282282282283283284284284284284283283283282283282282281281281281281281281281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283280277278282282283285287289289292293294294294294294293292294294294295295296296296295296295295295296294294294294294293293293293294293292292293294294295295296297298296298299298298297298298297297297297296296295296295295295294294294294295296296295296297296297298298299298298298298296298298299298297299299299298298297297296297298298298298298298298297299299299300300300299300300301299300299299298299299299298298298298299300298299299299300300300299299299299299299298299298299299299298297299299299299298299297299299299297298298299299298299299299298299298298297297297297295296297295295296296294296295295295294294294294295294294295296296295294296296294296295295294292294292292291292295294295293294294293291291292291293293291293293293293294294295296295294294292293293297295295293293294294295295295295293292294293294294294294294294294294294294293293293294293293292293292292292292291291292292293292292293293294294294294294293293293293293294295295294294294294295294294294295295295295295296296296296296295296296296295295295295295294295294294294294294296295295295295295295294295295294293294294294294294295294294294295295296297296297297296297296296296295296296295295295295295295295295294295294295294294295295295294294294294295295295295294295295295296296296296296296296296296296296296296296295296296296296296295295295295295295295295295295295294294294294295295294294294294294295295294294294294294294294294294294294293293292292292291291291291291291290290290290290290290290291291291291290290290290290290290289289289289289289288288288288287287287286286286286286286287287287286286286286285285285285285285285285285285285284284284284284285284285285285285285285285285285285285285284283283283283283283283283283283283283283282282282282282282282282282282282282282283283284284284283283283283282282281281281281281281282281281282281282281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283281280279276280283285286288289291294295296296294294294293291294294294295295295295295293291292296295293291292292292292293293293294294293293294295295296297297298297298297298299298298297298298297297297297296296295296295295295296293294294295297296296297297296296296297298297297298298298297298299298297298298298298298297297297296297298298298298298297297298299299299300299300300300300300300299299299298297297297297297299300300300299299300300299299299299298299299299298300299298299298297297297299299299299298297296300300300299299300298300298298297298297297298297297296296296296296294295295294296296295293295294293294294294294294293294295295295295295294293295292294293294289292292293295295295295295294291294291291290291290292293292292293293294295294295295293294293293294293292294293292293296295295295295293295295295295294294295294295294293293293293294294294293292292292292292292291291292292293293292292292293293293293294294293293293294294295294295294294295294295294294294295294294295296296296296296295296294295295295295294294294294294294295295296296295295295295294294294295295294294295294294294295295294295294295295296296296297297297296296296296296296295295295296296296295297295296295293294293294295295295294294294295295296295295295295295296296296296296296296297297296296296296296296296295296296296296295295295295295295295295295295295294294294294295295294294294294294294295294294294294294294294294294293293293293292292292291291291291291291290290290290290291290290290291291291290290290290290290289289290290290289289288288288288287287287286286286286286286287287287287287287286286285285285285285285285285285285284284284284284284284284284284285285285285285285285284284283283283283283283283283283283283283283283282282282282282282282282282282282282282283283283283283283283283282282281281281281281281281282282282282282282281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280280281279278279283285285289291293295296297296294295294295294293294293294293292292289289290291289291290288289291292291293293294295294294294295297298298299297298298298298299298298297296298297297297297297296297295295295294295296295296295295296296296296297296296296297297297298298297298297298297297298298297297296297297298297297297298298299298298298298299299299299298298300300300300300299298298298297297297299296299299300299299299300299299299298299298298298299299300299300298299299298296299298298300300298298298298300300300297297297298298297298297297297297296296296297296296296295295295294295296296295295295294293293295296295295294294294293294293293293293293295294292292295295295295296295295291292293290289291291292292293292292293293293293294294294293294294294292294292292293293293294294294294294295296296295295295294294295295295294293293293294293294293293292293293292292292292292292292293293292292292292292291294294294294294294294294295294294294295295295294294294294294294295295296296297297296295296294294295294294294294293293294294296296296296296295296295296295296296296295295294294294294295295295295294295295296296296297297296296296296296296297296296296296294296297297295295294294294294295295296295294295295296296296296295295296296296296296296296296297297296296296296296296296295295295296295295295295295295295295295295295295294295294294295295295295294294294294294295294294294294294294293294293293293292292292292292291291291291291291290290290290290291291290290291291291291290290290290290290290289290289289289288288288288287287286286286286286286287287287287287287287286286285285285284285285285286286285285285284284284284284283283284284284284284284284284284284284284283283283283283283283283283283282283282282282282282282282282282282282282282282282282282282282281281281281281281282282281281281282282282282281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292283280277277278282283286287290290295295296297294294294293294293293292293294291288286286286289289288288289288291292292294295295296296296297296297299299300298298300299299299299298298298299297297298297297297297296295295295296296297297296295295296296296296297296296296297297298298298298298297297298298299297297297297298298298298298297297298298298298298298298298298298298298299299299299299299297297296297297298298296298298298298298299299299299298299299298297298299298299300300300298300299299299299298299299299298298300300299297297297298297298298297296298297297297297297298297296297296296294296296295299298297294294293294294296295294293293293294294293292293294293294293294292293292295295295296296296295292290292293293293293292292291292292293292293293294296292292292293295293293292293294294295295296295296295295294294295295295295295295294293293294294294294293293292292292292293292292293294293292292293293293292294294294294294294294294294295295295295295295295295295294294294294295295296296296297296296296296294294294294294294293292293296296296296296296296296296296296296296296296296295295295295295296296295295295295296296296297297296296296295296296296296296296296296296297297295295296294294295294295295296296296295295296296295295295295296296296296296296296296296296296296296296296296295295295295295295295295295295295295295295295295295295295294294295295295295295295295294294295295294294294294294294293293293293292292292292291292292291291291291291291291291291291291291291290291291291291290290290290290290289289289289289288288288288288287287286286287287287287288288288288287287287286286285285285285285285285286286285285285284284284284284283283283283283283283283284284284284284283283283283283283283283283283283282283283282282282282282282281282281282282282281282282281281281281281281281281282281282282282282282282281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296285999273278281283285287289292294296297297296294293294292293293293293293292287283284285287288286288287288290291294294294295296297298298297296299298298300299300300300300299299298298298299298297297297297297296295296296297298296296296296295296296296297295295295296296297297297297298298297297297298297298297299298297298298299298298297297298297298298298298298298298298298298298299300298299298298298299298298299298296298298299299299299299298298299299299299299299300299300300299298298299299299299297297298297296297297299299300300300299297298299298298296296295297297298299297295296295296296296296296295298298296296293293293293294295293292293293293294292293293293293295294295295295295294295295294296295295293292293295294294293293292293291293293294293295295294293292295294294294293294294295295295295295296295295295294295295296295295293295295293292292294294293293293293293293293293293292293293292293293293294293293293293294294294295295294295295295295295295296296295295294294294294295295296296296296296296296295294294293293293293292293296296295296296295295296296296297296296296296296296296296296295295296295295296295295296296296296296296296295295295297296295296295296296297295296297295294295295295296296296296296296296295296296295295295295296296296296296296296296296297296296296296296295296295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295294294294294294294293293293293293292292292292292292292292291291291291291291291292291292291291290290290291291291290290290290290289289289289289288288288288288288288287287287288288289288289288288288288287287286286285285285285285285285286286285284284284284284284283283283283283283283284284284284284284283284284284284283283283283283283283282282282282282282282281282282281281282282282281281281281281281281280281281282281281282282282282282281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301301999285999277280281283286288289292296298298298296294294294293293293293293292292288284284286286285288289291292294294295296298298297297298298298297299299299299300300300299300299299299298298297297297297297297296295297296296296297297297295296296296296296296295294295296296296296296296297297298297296297297296297299298297298298298298298298298298298297298298297297297297297297298298298298299299299299299299299298298298298297298298298299299299299299299299298298300300300300300300300299299298298298297296295296298298298298298300299298300297299299299299298298296297297297297297298297297296296296296295295298294294297294293294291294294294294292293292291294294293291291293291293294294294294294294294293294294295292293293294294292292292291293293293293294293292291292294293293293293294293294295295295294294295296296295295295295295295296295294295294291293294294294294294294293293293293293293292292293293293293294293293294293294294294294294295295295295295295295295296295295294294294294294295295295295296295296296296295295293294293293293292294295295294294295296296296297297297296296297297296296297296296296296296296296295294296296297296295296296296295296295295296296296296296296296296297297294295296295295295296295295295296296296296296296296295296296296296296296296296296296297297297296296296296296295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295294294294294294294294293293293293293293293292292292292292292292292292292292292292292292291291291290290290291291291291290290290289289289289289288288288288288288288287287288288288288289288288288288288287287286286285285285285285285285285286286285284284284284284284283283283283283284284284284284284284284284284284284284284284283283283283283283283283283281282282282282282282282282282282281281281281281281281281281281281282282281281281281281281280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299296292284280277279283283285287289291294297299300298295294293294292291290291293291291287286283285285288289290293294296296296297298299298299299298298298298298300299300300300300299299298298298297297296297297297297296296298297297297297297297297297296296296297295294295295295296296295296296297297299297296297297297298298297297297297298297298297298297297297297297297297296297297297298297298299299299299299299299298298299299299298298299299299299299299299299298298299299299300300300300299298299298298298297297297297297297299298297300299300298299300299298298296296297297298298297296296297295297296297296295296295294294294294293295293293294293292293293292291292293293290290289293294294294294295293293294295294295294293293293294293292292292291293292292291292292291293294295293292292293294294294294294293295295295295295294294294295295296295295295295293293294295295295296295295294293293294294292292292292293294294294295293294294295294294293294295295295295296295295295295295295294294294294295295295294294295294294294295295294293294293293295295296296295295296296296296297297297297297297297297297297296296296295296297296295295296296296296296296296295296296295296295296296296296296295295295297297296295295295295295296296296296297296296296296296296296296296296296297297297297297297297297297296296296295296295295296296296296295295295295295295295295295295295295295295295295295295295295296295295295294294294294294294293293293293293293293293292292292292292292292292292292292292292292292291291290290290290291291291291291290289289289289289288288288288288288288288288288289288288288288288288288288288287287286286286286285285285285285285286286285285284284284284284284284284284284284284284284284284284284284284284284284284284284284283284284284283283282282282282282282282282281281281281281281281281281280280280281281280281281281280280280280280280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300297999999288287281280280285286286287290292295298299300299297295294292293290999287289290290290290287286285289290291294296295296297297298298299298298298299299298298299300300300300299300301299300299298297297297297297296296296295297297296297296296297298297296298297296296295294295296296296295296296297298299297296296297298298296297297298297297296296296297296296296297296296296296296297298298298298299299298298298299299299298298300299299298298299299299299299299299298298299299299299299300299300298299298298297297297298298297298297298297297297298299298299298299298298298298296299297297296295294295297296296295295296295295294294294294295296294293293293293293293295293291293293295295294294294294294292292293293295295295294294292293292292292290293290289291291291291293293294294295295294293293295294294295295295295296295293295293295294294295295294294295296294293294295293294295295293293294293293294293292293294292294293293295295295294295294294293295295295295295295295295295294295294294294293293294294294293294294294293294294294294293293294292292296296297296295296297297298298298297297297297297296296297296297295296296296296295296296296296297297297297297297296296296295295296296296296296295296297297297294295295294296297297296297297296296297296296296296296296296296297297297297297297297297297296296296295295295296296296296296296296295295295295295295295295295295295295295295295295295295295295295295294294294294294293293293293293293293293293293292293292292292292292292292292292292292291291291290290290290290291291291291290290289289289289288288288289289289288288288288288288288288288288288288288288288288288287287287286286286286285286286287286285285284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284283283283282282282282282281282282282281281281281281280281281280281281281281281281280280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288285286285283283284286288289288290293295297298299299297296295295292999999999999999999285286289287288288290292295296296297298298297298299298299298299300299299298299300299299299299300300300299299297296297297297297296296295296297295297297297298298297297298298297295296296295295295296296296296297297297299297296296296295297296298298298297296296296296296296295296296296296296297297297298298298298298298298298298299299298298298299299299299299299298298298298299299299298299300299299299299298297299298299298297297297298297296296297298298298297298297296298298298298299298298298297297296297294295295295294294295294296296294294292293295294294295292292292293293293294294292291294295295295295294293293292291292295294292292293292292291292292292293294293293292292292292293293293294294295295294293295294295295295295295295293294295295295296293294294294295294296294294294295295293296295293294294294294294292294295293292292295295295295294293294294295295294294295294295295295296295295295294295293293294294293293293294294294295295295294294294294295295296296296297296296296297298298298299297297298298297297296297296296297297296296296296296297297297297297298298298296297297296296297297296296296296297297297297297295296297296296297297296297296296296297297296296296296296297297297297297297297297297297297296296296296295295296296295296295296296295295295295295295295295295295295295295295295295295295295295295294294294293293293292292292292292293293292292293292293293292292292292292292292291292292291291291291291290291291291291291291291291290290289289289289289289289289289289289289288288288288288288288288288288288288288288287287287287287286286286286287287286285285284284284284284284284284284284285284284284284284284284284283284284283283283285284284284283283283283282283282282282282282282282281281281280281281280280280280279281281281280280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290281283285285285285286289291292293294296298299299298297294296297999999999999999999999999280284287288288288293296296297298297298300300300301298299298299300300300299299299297298299299299300299299297296297296294296296296296296297297297298298298298298298298298297297296296296296296295296297296295297297297298297297296296296296297297297298297296296295296295297297296295297297297297298298297298298299298298299298298299298298298299299299299299299298298298298298298298298299299300299298299299299299299299299299297297296297296295297298298298297298298298297297297297296296297296298297297296298294295294296294293293293297297296296295294295295294294292291291292292291293292290293293291292292296293293293291292293295293292292292292293292293293293293294294294293293293293293294294294294296296296294295294294295295295296297296296295295296295294294295293295295294295295294294293294295295294293295294293293295292293294292292293295294294294294295295295294294294294295295296296296296295294294293293293293293292294293294294295295295295295294293295296296296296296296296297297297298298298299298298298297298298298297297296297296297296296296296297297297297298297297298297297297296298297297297295296296298298298298296296296296297297297296295296296296295296296296296296297297297297297296296297296297297297297297296296296296295295295295296295296296295296296295295295295295295295295295295295295295296295295295295294294294293293293293292293293293293293293293293293293293293293293292293292291291292292292292291291291291291291291291291291291291291291290290289289289289289290290289289289288288288288288288288288288288288288288288287287287287287286286287286287287286286285285284284284284284284284284284284284285284284284284284283283283284284284284284284284284283283284284283283283282282283282282281281281281280281281280281280280281281281281280279280280280279280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289282284286286287288290292294295295296298296299299296295295297999999999999999999999999999284283286288288291295297297298299299298299298300300300301300299299299300300300299298298299298298298298297297296296296296297298297297297297298297297298298298299298297297297296296297297296295296296296296296296296297299296296296295296297297296296298297297297297296295297297296297298297297297297298298298298298299298299298298298298298298298298298298298298298298297298298297298298298298298298298299299299299299298299299297298296297296296296296297298297297297297297296298297295296295297296297297297296295295294293294294295295295296296296295295295295292293292293293293291291291293292290293294292292295294293289289289292293293293292291292292293293293293293294294293294293295295294295295295296297297297295295294295294295295296296295295295296295294294295295295295296296294295294294294293294294295296295295292295295295294295295294295294294294294294294294294294294294295295295295295295295294294295294293294294293294292293294294295295295295294294295296296296297296296297297297297297297298298299298298298297297298298298297298298297297296295296296297296297297297298298298298297297296296297296296295297297298298298298296296297296297297297296295295297297296296296296297297297297297296297297297297297297297297297297297297297296296296296296296296296296296296296295295295295295295295295295295296296296295295295295295294294294293293293293292292292293293293293293293292293293293293293293292292292292291292291291291291291291291291291291291291291291291291291290290290290289290290290289289288288288288288288288288288288288288288288288288288288287287287287287287287287287286286285285285284284284284284284284284284284284284284283284283283284283284284283284283283284284284284284284284284284284283283282282281281281280281281281281280280280281280280280280280280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295286284285285287289290291293294295296296296297299299298296293294296298999999999999999999999999284283283285288289294297299299299300300298299300300300301302299299299299299299298298298299300300298296295297296296297296297297298298297297298298297298297298298298298297298297296297296297296295295297296295295296296295297296296296296297298296295296297297297297297296296296297297298297297297297297298298298297298298298298298298298298298298298298299298298298298298297298297297296295297297297297298298299298298298297298298297296298296297296295295296297297297296297296296296296296296296297296296295296295295295296295293294292295297296294294293292291296296294291291292292293292291291292292292292291292294295295294291290292291292293293293293294294294293293294294295295295294295294294295296294295295295295294294293293297295295296296296296294296296295295296295295295295295296297295295296296295294296295295294293295293294295295295295295293294294293294295294294294294294295295295294295294295294294294293295294292293292293293294295295296296295295296297297296297297297297297297297296297297298298298299298298298298298298297297298298297297297296296297297297297298297298299298298297297297296297297296296297297298298298297297298297296297296297295297298296297297297297297297297297297297297297297297297297297297297298298298297297297297296296296296296296296296296296296295295295295295295295295296296295295295295295295295294294294293293293293292293292292292293293293292292293293293293293293292292292292292292292292292292291292291292291291291291291291291291291290290290290290290290289289289289288288289289288288288288288288288288288288289288288288287287287287287287287287287286286285285285285284284284284284284284284284284284283283283283283283283283283283283283284284284284284284284284284283283283283282282282281281281281280280280280280281281280280280279279279280279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285286288289290291293294295295295296296297298298298295292293294296999999999999999999999999999282283284286292295295298299299300300300298299300300301302301301300298301300299298298297297300300295295999999294295297296297297298298297298298299298298298298299299299298298298298297297296297295296297296297297297297296296296297296297298297296296297296297297297297297297297298297298298298297297297298298298298298298299299298298298299299299299298298298298299298297297296296297297297298296298298298298297297298297297296296296296295295295294296296296296296295296296296296296296297296297297297296296295294295294296295297294293293295293292292293294293294293292292291291293293292291291291290290291293294292292290291290291290289290290293293293293294293293293294294295295295295295295295294295294294294295295294293293294293295295294294295294293295295295295295296296295295295295296296296295294293297295295294294295295295295295294295295295294294295294294293293293293294294295295295295295294295294294295295295294293294293294294295295296296296296296296296297296297297298298298296297296298298298299298299299299297298298297298298298299298298297297297297298297297297297298298298298297297297297297296297297297298297295296296297297297297298297297296296298297297297297297297297297297297297297297297297297297297297297297298298297297297297297297296296296296296296296296296296296296295295295295295296296295295295295295295294294294294293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293293292292292292291291291291290291290290290290290289289289289289289289289289289289289288288288288288288288288288288288288288288287287287287287287287287287286286285285285284285284284284284284284284284284283283283283283283283284284284284284284284284284284284284284284284284283283282282282281281281281281281280280281281281280280280280279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287289290291292293295296295294295296297298298298296293292294296999999999999999999999999999999999283286292294296296297299300299299300298300300301300301301300301298301301298298298296300299298296295294294294296296297298297297298298298298299298298298299299299298299299298297297298298296296296296297297297297298297297297297297296297296296296297296297296297297297298297297297298298298298298298298299297297298298299299299299298299299299298298298299299298298298296296297297296297297297298298297297298297296296296296296295295294296296294295295297296295297297296297297297297298297297297296296296296295295297295295295293293293294296297295294292292292293292291295293293293293292291293292291292294294291291292293292292292291291291291293293294294292293294295295295295295294295295295294294294295295295295295293293294294295296296295295295295296296295296297297296296296296296296296296295294294295295296297296295295295295295294295295295294295293294295295294294295295295294295295296296295296295296295295295295294295293294294295295295295297296296296296297297297297297298297297297297298298299298298298299298298298298298298298299299298298298297298297297297297297297298298298298298298297297297296297298298298297296296296295296297296298297296297297297297297297297297297297297297297297297297296297297297297297297297297298298297297297297297297297297297296296296296296296296296296296296296296296296296296295295295295295294294294294294294294294294294294293294294293293293294294293293293293293293293294294293293293294294293292292292292291291291291291291290290290290289289289289289289288288289289289288288289289289288288288288288288288288288288288287288288288288288288287287287286286285285285285284284284284284284284284284284284284284283283283284284284284284284284284284284284284284284284284284283283283283282281281280280281281281280281281281280280280280279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291303296294289287289290291292293295296296294292294294295296295295294293294296999999999999999999999999999999999999286291293297299297299300301301299299299300301300298300299298301298298299298298298298298298297296296296296295296295296298298298297299298298299299298298299299298298298299298298297298298297296296296296297297297297298298299298297297297295295296298297296297298298297297297296296297297297298298298298298297299299297299299299300299299299299299299298298299299298297297296297297297296297298298297296296296297296296296295295295294295297295294294294295295296296296297297296297298297298297297297297297297297296296296297297293292294295294295294293291291291292292292293293295295295292291294292293293293293293293294292292292291292294294294291291292292293292294294295295295295294295294294294295295295295295295295294292293294294295295295295294296297296295297298297297296296297297296296295295295296296296296296295295296295295295294294294293294295294294295295295295295295295295295295295295296295294295295293293294295295295294295294294295296296297296296297297297297297297297297297297297297298298298298298298298298298298299298298298298298298298298298297297297297296296296297298298298298297297298296298298296296297297298297295296298297298298297297298297297297298297297297297297297297297297297296297297297297297297297297298298298298297297297297297297297297297297297297297297297297297297297297297297297296296296296296295295295295294294294294294294294294294294294294293294294294293293293293293294294294294294294293294293293293292292292291291291291290290290290289289289288288288288288288288289288288288288289289289288288289289288288288288288288288288288288288288288288288288287287286286286286285285285284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284284283283282282281281280281280280281280280281281280280280279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289295302293288288290290290290291294297297295290289291291291293293293293295297999999999999999999999999999999999999284289293295299299299300301301301299298299300300299299300299297299298296297297300296297297296296296296296296296296296297298298298297299299299300300299299299299297298297298297297298298298297296296297296296296296297299298298298298297296296295297296296296297297297297297297297296297298297297298297298298298298298299299300299299299299299299299299299299299299299297296295297297296296297297297297297297297297295296294294294294294295294295294295295295296295296298297297297297296298297297297296297297297296297296297297296294294296295293292292294294292293293293293293292292292291293292292292293293293293294295293293293293294295294295294291291292293293293294294294294294295293293295295296295295295295294294295294293295294295296294295296296297296297298297297297298297297297297296296296297296295295295294295296294295295295294294294295295295295294294295295295295295294296295295295295295295295294294294293294295295295295294295294295296296297296296297296296297297297297297297297297297297298298298298298299299298299298298299299298298297298298298298297298298297297297297296298298298299298298297296297298297296297298298297296298298299299298297297298297296298298298297297297297296296296296296296296297298298297297297297297297298297297297297297297297297297297297297297297297297297297297297297297297296296296296296296295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294293293293293292292292292291291291290290290289289289289288289289289288288288288288288288288288289289289289289289289288288288288287287288287287287287287287287288288288287287286286285285285284284284284284284284284284284284284284283283284284284284284284284284284284284284284284284284284284284283282282281280280280280279280280280281281280279279279279279279278278 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288293293294292291291289289290292295297296290285285287288290291292293294298299999999999999999999999999999999999999288291294298300300301301301301302300298300299300301300300299999297298999999299299296296296295295296295296296295294297296297298298298298298299299300299300299299298297297297297297297297297297297298297297296296297298299298298298298297297297296296296296296296297297298298298297298298297298297298297298298298298299299299299300299299299299299299299299299299297298297296297296296296296296296296296297297297297296294294293294294294294293294294293294296296297298297297296297296297297297298297297297297296296295296296296294295296295294292293293291294292292293293291292293293292293292293294294295294294295295295295294294295295295294295294293293293294293293294295295294295294293294294295295295296296295295296295294294294294295295296296296297296296297297297297298297298298298297297297297296295295297296295295296296295295295295295295294295295295294294295295295295294295295295295295295295295295294294295295294295295295295294295295296296296297297297297297298297297297297297297298298297298298298298298299298299299299298298298298298298297297297297298297297297297297297296297297299299299298297296296298298297297298297297297297298298299299299299297297298297298297298297297297296296296296296296296296297297297297297297297297297298297298297297297297297297297297297297297297297297297297297297297297296296296296296296295295295295295295294294294294295295295295295295295295295295294294294294294294294294294294294294294293293293292292292292291291290290290290289289289288288288289288288288288287287287288287287288289289289288288288288288287287287287287287287287287287287287287287287287287287286286285285285284284284284284284283284284284284283283284284284284283284284284284284284284284284284284283283284283283282281280279280279279279279281280280281280280279279279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287290290289288288288289291293296297296290285283285287289291293294296300999999999999999999999999999999999999287290293297298300299301301302301300300298299300300300300300296297297299299299296297296296295295295295295295296293295295296296297298298298299300299299299299298298298297297297297296296296297296297297297297296297297298298299298298298298298297297296296295297296297298298298298298298297296297298298297298297297298298299299298299299299298298299299299298298298297298297297297297297297297295296297297298297297297297296295294293294294295293293294295294296297296297297296297297297297297297297297298297297296295295296295295295294295295295294294293293293293296294292293292293293293294294294295295295295294295294294295295295295295293295295293294295295294294294294295294294294294294294294294295295295295295295295295294295295294295294295295297296297298298297297297298297297298298298297297297296296296297296295294295294294295295295295295295295296296295295295295295295295293294295294294295295295293294295293295295295295295295295295296296296296297296296296298298298298297297297297298298298298298298298298299298299299298299299298299299298298297297296297296296296297296297297297298299300300299297297297298298297298297297296298298297298299299299299298298297298298298298297297297296296296296296296296296296296297297296296297297297297297297297297297297297297297297297297297297297297297297297297297297297297296296296296296296295295295295295295295294295295295295295295295295295294294294294294294294294294294294294294293293292292292292292291291290290290289289289288288288288288288288287288287287287287287287287288288288288288288288287287287287287287287287286286286286287287287287287288287287286286286285284284285285284284284283284283283283283283283284283283283283283283283284284284284284284284283283283283283282281281280280280280280280280281281281281280280280279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285284285285285285286288288289292294296297295291287286288290292293294295298301999999999999999999999999999999999999288291294299300299300301302302302300300299299299300300299300299300297295298298296296295295294294295294294295295294293295295296295296298299299299299299299299299299298298297297296296296296296296297296297298297297298298299299299298298298298298297296296295296296297298298298297297297296296298298298298298297298298298299298298298298298298298298299299298298298298297297297298298298298298297298298297297297297297296296295296295296295295294293294294296297297297297297297298298298299298297298298297297296296295295295294293292293295295294294294294294294294295294291293294293293295294295295295296295295295295295295294294294294294295295296293296295295294294294294294294294293293294294294295295295295295295295295296294295295295295295295296297295296297297298298298298297298299298298297298297297297296296296295294295294295295294295295295295295296296295294295295294295295294295295295295295295295295295295295295295296296295294295296296296296296296296297297298298297298297297297297298297297297298298298298299299299299299298299300298298297296296296296296296296294296296296297297297299299299299298297298298297297296296297297298298298298299299299299298299298299298298298297297297296296296296296296296296296296296296296296297297297298298297297297297297297297297297297297298298298298297298297297297297297297296296296296295295295295295295295295295295295295295295295295295294294294294294294294294294294294294293293293293292292292292292291291291290290290289289289288288288288288287287287287287287287287287287287287287288287287287287287287287287287287287287286286286286286286286286287287287286286286286285285285284285284284284284284284283283283283283283283284284284284284284284284284285284285284284284283283283282281281281280280280280280280280281281281280280280279280279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999282283284284284285285288289291294296297295293291288289293295294294295296299999999999999999999999999999999999999288291294298300300300300301302302302299299298300300299300300300300298296297297297296295293294295294294294293295293293295295296296297298298299298300298300300300300297298297297296296295295295294295296296297297297297298298299298298298298298298298298297297296296297297297297297297296297296297297297298297298298298298298298299298297298298299299298298297298298298298296297297298298298298297298298298298298297297297296296296296295296296296295295295296295295295296297297297298298299298298297298298297297296294294294296294294294295294295293293293295294295295295295293292293293291292294294294294292291294294294293294294294294294293294296296296295296295295295294294293293294293293294294294295295296295296295297296294295294296295296296296296297297297296297298297298297298298298297297297297297297297296296295296296296296295296295295295295296296296295295295294295295295295294295295295295296295295295296295295294295295295296295296295296297297296295297296297298297297297297297297297297297297298298298297298299299299299299299298299299298296296296296296296295296296296296296297297298298297299299299298298297296296297296297296298298298298299299299300298298299298298298297297297296296296296295296296296296295295296296296296296296297297297297297296297297296297297297297297297297297297297297297297297297297297296296296296295295295295295295294294295295295295295295295295294294294294294294294294293293293293293293293293293292292292292291291290290289289289289288288288288288287287287287287286287287287287287287287287287287287287287287287287287287287287287287286286286286286286286287287287288287286287287286286286286285285285285284284284283283283283283284283284284284284284284284285285285284284285284284284283283282282281281281281280280281280281281281281281280280279279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291280283285284284286285287288289292295297296294291290290289295299296294295296999999999999999999999999999999999999999290293297299299301301301302301303301301299299299300297298299300299297295296295296295295294294294294294294293294294293295296296295296298298299300301300301299300300296296297296296295295294295295294295296296297297298298298299299298299299299298298298298297298298297297297297297297296297297297297297298298298298298298298298297298298297298298298298296296298299298298298298298297298298297298298298297297297297298297296295295296296296296295296296296296296296296296297297297297298298298298298298298297297297296295296296295296296293294295296294293294295296295294294293294294292293292295293294294294292292294292294294294295296294294296296296296296296295296295296295295294294294294294295295295295295296296296297297296294296296295296297296296297297296297297298298299297298297298298297296297297296296295295294296295296296296297296295295296296297296295296295295295295296295294294295295296296296296296296295295295295295296296295296295296297297296296297297298298298297298297298297297297297297298298297298298298299299299298299298300299298296296295295296296295294295296296296297298298298298299299299298297296296296297297296296297298297298297298299299298297298298298297297297296296296295295295296296295295295295295296296296296297296297297297297296296296297297297297297297297297297297297297297297297297296296296296296296295295295295295295294294294295295294294294295294294294293294294293293293293292292292293292292292292292292292292291290290289289289289288288288288287287287287286286287287287287287287287287287287287288288288288287287288287287287287287287287287287286286286286287287287288287287287287287287287287286286286285284284284284284284284283283284284284284284284284284284285285285285284284284284284283283282282281281281281281281281281282281281281281280280279279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292276277280283283282284286286288289291294296296294291288289290289295299298292295296999999999999999999999999999999999999999292293295298299301300301301302302302302301301301302301299301298299298297295296295294292293293294294294293293294294294295296296296298298298299300301301301300299299298298299297297295294295294293294295295296296297297297298298298298299299299298298298298297297297298297297297297297297297297297297298298298297297297297297298297297297297297297297297298297297298297298298298298298299298298299299298298297297297297297296295295296296296296296296297297295296296296296297297297297297297297297298298298298297297297297296295294294294295294295295294293295296296294295295294294294293294295295294296294294293292293293294295296294293295296296297296296296296296296296296296295295295295295294294295295295295296297297297296296295295295295297297297296296296298298297298300300298299298299297297297297297296296295296295295294296296297296295296296296296297296297296295296295294295294294294295294294294295295296295295295295296296296296296297296296296296296296297297297297298298297297298297297297297297297298297298299298298299299298298298300300298297297296296296296296294295296296297297297298298298298298298297297297296296297297296297296298297297298299298299298297297297297296297296296296296296295295295295295295294295295295296296296296296296297296297296296296296296296297297297297297297297297297297297297297296296296296296296295295294294294294294294294295295294294294294294293294294294294293293293293293293292293293292292292292292292292291290290290289289289289288288288288288287287287287287287287287287287287287287287287288288288288288288287287287287287287287287287287287287286286286287287287287287287287287287287287287286286286285285284284284284283283283283284283284284284284284284284285284285285284284284284284283283282282282282282282282282282282281281281281281280280279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289281271273276278279280283284287289292293295296296293288284285284283293299298292294999999999999999999999999999999999999999999294296297298301302300300301302302301302301300300300298300298298298298296296293294293293293294294293293292292293293294295296296295297296297300301300301301298299299299298297296295296296295294294294295295295295296296298297297299299299298299298298297297296296297297297296296296297296296297297298298298297297297297297297297296296297296296296296297297296297298298299299299298298298299298298298298297296297296296296296295295295296295295296296296296296296297296296297297297297297297297297297297298297296297297296296296295296294294296294295295295295296296296295295295296295296295294294294296295295293293294295296295295296295295295296295295296295296295295296296295294295294295295295295293294297296296296296296295296295295295296297296297297297297298298299299299299300299298298299298296298297297296295295294295296297296295296296295296296296296296295296295295295294293294294294295295295294295296295294295295295295296296296296296295296296297297297297296297297297297297297297297297297297298298298298298298298298299298298298298298298298298297297296296296296296295296296297297297297297297297297299298298297297296297298297297297298297297296297298297298297297296296296296296295295295295295295294294294294294294294294294295295295296296296296296295296296296296296296297297297297297297297297297297297297297296296296296296295295295295295295295295295295295294294294294294294294294294294294294293293293293293293293292292292292292291291291290290290290290289289289289289288288288287287287287287287287287287287287287287288288288288288288288287287287287287287287287287287286286286286286287287287287287287287287287287287286286286286286285285284284284283283283284283283283284284284284284284284285285285285285284284283283284283283283282282282283282282282282282281281281280280279279279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283282268269271273273274277281282285289292294295297298298292286283281284281291300298292294999999999999999999999999999999999999999999294298299297301301300301301302302301301300299299298298299299299298298296296292295295293293293293293293292291293293294295295295297297296297300300299300300300299299299297297295296296295295295294295295295295295297297297298298296298298299298298298298296296295295296296296297297296297297296297297297297297297297297298297296297297297296296297297296298297297298298297298299299298299299299299299298297297297296296296295295296295295294295295295296295296296296295296297297297297297298298297297297297297296297297296295296294295295295295296295294296296297296297297296295294295294294295293293294294295294294295296295294295293294294295295295294296294295295295296295295292294294294295295294294293295296297297297297296297296296296297298297297297298298297297298299298300299298299299299298297298296296296296296295296296295295296295295295295295295295295295295295295294294293293294292295294293294295295295295295295295294294296296296295295296296296297296296296297296297297297297298297297296298298298298299298298298298298298298298298298298297298298297297296295295295295296296297297297297297298297297298298298296297297297297298296297297297298297297296297297296296296296296295296295295295295295295295294294294294294294294294295295296297297296296297296296296296296296296297297297297297297297297297297297297297296296297296296296295295295295295295295295295295295294294294294294294294294294294293294293293293293293293293293292292291291290290290290290290290289289289289288288288288287287287287287287287287287287287287287288288288288288288288287287287287287287287287287287287287286286286286287287287287288288287287287287287287286286286286285285285284284283284284283283284284284284284284284284285285285284285285284284284284284284283283283283283283283283282282282281281280280280280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291283283282277274273270272271274277280283287290293294296298298297290285284279294288291300299293999999999999999999999999999999999999999999292295296298299301300299301302302302300300300298297297297297299298297297297294293295294293293293293294294292293294294294294295296297298297298300300300300301300299300299297296295296296295295295295295295295295294296296297296296298298298299298298297297296295296295296296297297297296297297297297296297297297296296297296296295296296296295296298297295299296298297298299299299299300299299299299299298298297296295295296296296296295295296296296296295296296296295296295297297297298298298298298298298297297296297297296295296295296296296296296294295295295296297297296296295294294295294294294293293293294294293294294293294294295294294294295296296294293294295295295295295293292295294295294294294295295294296296295295296297297297298297296297297297298299299299299297298299297299299298297297297296297296295295296296295294295295295295295295295294293293294294295295295294293293293293292294295294294294295295295295295295294294296296295295296296297297296297296297297296297296296296297297297297298298298299298298298298298298298298298298298298298298298298297296297296296296297297297297297297297298297297295297296295297297298297299297297297298297297297297296296297297296297296295294294294295295295295294294294294294294294294294294294295296297296296296296296296297296296296296297297298297297297297297297297297297296297296296296295295295295295295295295295295295294294294294294294293293293293293293293293293293293293293293292292292291290290290290290290290290289289289289289288288288287287287287287287287287287287287287287287288288288288288288288288288288287287287287287287287287286286286286286287287287288288288287287287287287287287286286286286285284284283284283283282283283284284284284284284285285285285285284284284284284284284284283283283283283283283282282282282281280280280280279 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281281282277276276275273270271273276279281285288290292295297298299295288283282280283289296301299302296999999999999999999999999999999999999999292296298299299301301301301301302302300300300297298297297297297298297297296296295293294292292293294294294291292293294294295296295297297298298298300299300300300300300298297296296296296296296295295296296295296295295297296296297298298298298298297296297296296297296297297297296297297297297297297297297297297297297297297297297296296296295296296296298297298299299298299299300300300299300299300300299299298297296296296296296296296295296296296297296296296297296297297297297298298298297299298298298298297296296296297297296296296296296295296296295295295295295295294296296294294294293294295294294294294293293292293294294294293294295295296296296294294294294293295296295295294294294294293293294295295294296297295296297297297297297297296297297298297298299298299300299299299299299297298298298298297297297296297296296295296296296296295295293294292294294295294295295293292292294293295295295295294293294294295295295296295295294296295296296296296297297297297297297297298297297297297297297298298298298298298298298299299299299298298297298298298298298297296296298298296296297297298298298298298298297295295297298297297297296298298298297298298298297297297296297297297297296295296295294294294294294294294294294293294294293293293294294294295296296297296296296296296296296296296297297297297297297297297297297297297296296296295295295295295295295295295295295295294294294294294294294293293294293293293293293293293293293293293293292291291290290290290290290290290290290289289289289288288288287287287287287287287287287287287287287288288288288288288288288288287287287287287287287287287286286286286286286287287287288287287287287287287287287287286286286286286285284284283283283284284284284284284284284285285285285285284285284284284283284284283283283283283283283283282282281281280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999280280283280278277275275275275273271272274277278281284287289291294296298299294287285283283288290298302300298302999999999999999999999999999999999999999293298299299300301301301302301302302300298298299298297296297296298297296294291292293294291291292293294293293292293294294295295297297298299297299300301300301299300300299297297296296296296295295294295295295295295295296296296296297297297298298297297297297297297297297297296297296297297297297297297297297297297297297297297297297297296297298296296298299299298298298297298298299299299300300299299298299299297296296296296295295295295296296296296296296296296296297298298298299298298298298299298298298298299296296297298296296294294297297297296296296296295295295295295295294295295295295295294295295295293292292294293295294294295295295296296296295296295294294296294294294294294295294295294295295296296297297298297297298297297298298298298297298298297297297298299300299299300299298298298298296298298296297297296296296296296296296295295293294295295294294295295295295292294293294295295295294294293293294295296296295294294295296296296296297297297297297297298297298298298298298298298299298297298298298299299299299299300300299299299298298298298298299298298299298298298297298298298298298298297297296296296297297297297297297298298296298295298297297296297296297297297296295296295294294294293294294294294293293294293293293293293293294294295295296296296296296295296296296296296296297297297297297297297297297296296296296296295295295295295295295295295295294294294294294294294294293293293293293293293293293293293293293293292291291290290290290290290290290290290290289289289289289288288287287287287287287287287287287287287287287288288288288288288288288288288287287287287287287287286286286286286286286286287287287287287287287287287287286286286286286287286285284284284284284284284284285285284285285285285285285285284284284284284284284283283283283283283283283282282282281280280279280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281277278279280279278279277274274276278279281284286289292294295295293290286288289288294295300302300297999999999999999999999999999999999999999288294298300300300301300302302302302302300298299300299297297300296299297296295295292294293291291292293294293293293293293294295295297298298299301301301302302302301299299298298297297295297296295294293294295295295295296297296295297297297298298298298298297297297296296297297296296297296297297296296296296296297296297296297297297297297297296297297296297298299298298297298297299298299299299300300299299299298299297296295294294295294295295296295295296295296296296298298298298299300299299298297297298298298298297297297297297297295297297297296296296296296296296295294294294295295295296294295295295294293293292293293294295294294295295296296297296296296295295295295296295295295295295295295295294294296296296297297298297297298298297298298299300298298297299298299300299300299299298298298298298298298298297297296296294295294295295296296295294295295294296295295294294295295295294295296295295294294293292294294295295296295294295296296296296297297297297297297298297298299299299299299298298298299298299299299299299300299299299299300298299299299299299299299299298298298299298298298297298298298298297297296296297295297297297297297298298297296297297297296297296297297297295295295294294294293293294294294294294294293293293293293293293294294295296296296296296296296296296296296296296296297296296297297297297296296296296296296295295295295295295294294294295294294294294294294294294293293293293293293293293293293293293292292291291290290290290290290290290290290290290290290289289289288288288288287287287287287287287287287287287287287288288288288288288288288288288287287287287287287286286286286286286286286287287287287287287287287287286286286286286287287286286285284284284284284284284285285284285285285285285285285284284284284284284283283283283283283283283283282282282281280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999279279277278280282283284284283281278275277279280282285287289292293294292289285285287292296300301302302299295999999999999999999999999999999999999999290295298299299300298301301302302301301299296299298299298296296296295296295295293292294293293292290291292293293293293293294295296297298299299301302301302302302302301300299298297297296297295294294294294294295296297297297296296297296297297298298298297297297297296296296296296296296296297297296296296295295295294295296296297297297296296297298297296298297297297298297297297298298299299298300300299298298298299296296294295293295294295294294295295296296296296296296296297297298297297298297298298297297298298298297297297296297297297297297297296296296295297294294295295295295296294295295295295294294291293293293293295294293294294295295295295297297296297296296296296296296296296296296295295296296296296294296296297295295295297297294295297297296297298298299299298298298299300300300299299298296298297298297297298298296297296296295295294293296295295294295294295295295296295295295295295294295294295295294295297297295294295296295296296296297296297298296297297297299299299299299299300300299299299300299299299300300300298299300300300299299300300300300300301299299298299299299298298298298298297297296296296296297296297298297297299299297298298296297297297297297296296296296295295294294294293293293293294294293293293293293293293293294294294295295296296296296296296296297296296296296296296296296297297297297296296296296295295295295295295295294294294294294294294294294294294294294293293293293293293293293293293293292291291291291291290291291290290290291290290290291291290290290289289289289288287288287287287287287288288288288288288288288288288288288288288288288288287288287287286286286286286286286286286287287287287287286286286286286286286286287287286286285285284284284284284284284285285285285285285285285285284284284284284284283283283283283283283283282282282282281280280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999277279279280282284286287287287286282278277279281283285288290289289290289287284287290294299301302303303300298999999999999999999999999999999999999289293297299299300300300301301301302301301300298299298298299297298298296296295293293292292292292293290292292293293293293293294296297298297299299301301301302303302302301300298297297296296296297295294294296296296296297297296297297297297297298298297298298296297296296296296296295295295296296296296296296296296297296296296295296296297297297297297297297297296297297297297297298298298299299298298299299298298297297297297296296296296295294294295296295296296296297297297296296297297296297297297297298298297297297297297298299298297297297297297296296296295296296296296295294294293295293292294294294294294294293292292295294293293294295297294295295297297296296296297296295296296296296296295296296296295295295295296296297295297297297296294294296295295296297298297299299299298300300300299300299299298298298298298298298298298296297295295295294295296296295295296296295295295295296295295294293293294294294293294295296295295294295296296297297297297297298298298298298298299299299299300299300300299299299300300300300300300300299300300300300299299300301301301301301299299300300299299299298299298298297296296295297298296297298296298298298300298297299297296297297297297296295296296295295294294293293294293293293293293293293293293293293293293293294294295295296296296296296296296296296296296296296296296296296296297296296296296295295295295295295295294294294294294294294294294294294294294293293293293293293293293293293292291291291291291291291291291291291291291291291291291291290290290290289289289288288288288288288288288288288288288288288288288288288288288288288288287287287287287287286286286286286285285285285286286286287286286286287286286286286286286287287287286285285284284285284284284284284285285285285285285284284284284284284284283283283283283283283283283282282282281281280280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999283999278279281282284286288289290290290289287282278280283284286289290287286286285285290291293297300302302304303301299299999999999999999999999999999999999295295299299299300301300301302302302301301300299300300300298298298298296295295292292295293292296295291293294293293293293294295296297298298299299300300301301301302302301300299298297296296298297296295295294294295295296296295296298296297298298298298298298297297296296296296295295295295295296295295295295296296296296296296296296297297298298298298297297296296296297297297297298297298298298298297298299299299298297298298297296296295296295296294295294295295295296297298298298298298297296297297297298298298297297298297297298297297297297297298297297296297296296296296296295296294294293295294294294294294294293292294294294293293293294296296297294294295295296297296295294295295295295295295295295294294293295295296297297297297295296294294294294295295296296297297299299299299300300300300299299298298298297298298298298296297297295294295293295295296295295296296295295295295296296295294295295294294294295294295296296295296296297297297297296297297297298298298299299300300300300300300300300299299300299299300300300300300301300300301299300300300299300299300301301298300300300299300299300299299298298297294298297298299298297296298298298299299298298298298298296297297296295296297296296295294294294294294294293293293293293293293293293293294294294294294295295295295295295296296296297297296296296296296296296296296296296296295295295295295295295295294294294294294294293294294294293294294293293293293293293293293292292291291292291292292292292292292292292291291291291291291291291290290290289289289288288288288288288288288288288288288288288288288288288288288288288288288287287288287287287287286286286285285285285285286286286286286286286286286286286286286287287286286286286285285285285285285284284285285285285285284284284284284284284284283283283283283283283283283282282282281281281280280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298999999999999999999999999999999999999999999999999999999999999285999999999281278280282282284285287288288290291292292292292291289281280283285287287286285284284287290292294297299302303303304303301300299999999999999999999999999999999297296298298299299300300300300301303302302300300299300300298297296298298297297295295294293292295293292292294294294292294294294295296298298299300300300301302301301302301300300299298298297297298297295295295294294295295295296296297298297297297298298297297297297297297296295296296295295295294296296295295295296296295295296296296297297297297297298297298297297297296296297297297296297298298298298299299299298299299298298298298296295294293293294295295296294295296297297297297298297298297298297296297297298298298296297296297297298297298297297297297297297297296296296296296296296295294294295294294294294295295294294294295295293294294294294294296295294294295296296295294294294293294295295293294294295295294294296296296297297297295295294293294295296294295297295298298299299300299299300300300299298299298298298298296296297296296295295295295295296295295295294294294294295296296296296296295295295294295295295296295296295296296297297296297298297297297298299299299300300299300300300300300299299299299299300300301301300301301300300301301301300300301302300300300301299299299299299300300300299299298297297296296297297298298296296297298298299299298299299298298297297296296296297296296295295294294294294294294293293293293293293293294294294294294294294294294295295295295295295295296296297296296296296295296296296296296296296296295295295295295295294295294294294294293293294294294294293293293293293293293293292292291291291291291292291291292292292292292291291291291291291290290290290289290290289289288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287286286286286285285285285285286286286286286286286286287286286286287286287286286286286286285285285284283284285285285285285284284284284284284283283283283283283283283283283283283282282281282281281281280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999999999999999999999999999299304999999286285288290999293286285279278282282285286287288288289290290292293293294294294294292285281284285286284284285286289292294296299300302303303303304303301301298999999999999999999999999999999296298296295298299299299300300300302303302299299299300300297296297297296296296295294291294294293294293293292293294292294294294296297298299299300300301302301302302302301300300299298298297296298297296296296296294294294294295296297297297298297297297298297297297298297296295295295295296295294295295296296295296296296296294296297297297297297297298299298298297296296297297298297297299297298298299299299299299299299298297298298298296296294295295296296296295294296296297298298298298298297297298297297298298298296297297297297296296297297297297298297296296296295295295295296295295295295293294294294294294294294294293294294296295294294295293293294294294294295295295296295294294295294296294296295295297297295295295295296295296295295295295294296294294296296298298297298299299300300300300299300299299299298299298297296297296296296295295296296296296295295295296297296296295296296296296297296296296295296296296296296294295295294296296297296297297297298298298299299300300300300300300299300299299299299299300301301301300300300301301301301301300299301300300300301301300300300300300299300301300298299298297296297298298297297296296297297297298298299298298298297296297296296297296296296296295294294294294294294294293294293293294294294294294294294294294294294295295295295295296296296296296296296296296295295296296296296296296295295295295295295295294294294294294294294294294293294293293293293293293293293292291291290291291291291291291291291292292292292292292292291291291291290290290290290290289289289289288288288288288288288288289289289288288288288288288288288288287288288287287287287287287287286286286286286285285285286286286285285286286286286286286286287287287286286286286286286285284284284284285285285285284284284284284284283283283283283283284284283283283283283282282282282282281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297999999999999999999999287287999999280281283284286284284283285286286287288289290291292292292293294294295296296296296296295292284284284284285286288290293296298299301302302304304303304304303300299299999999999999999999999999294295297298296298298298300301302301302303301299298299299299300299297297295296295294293291294294294294294292293293294293293293294296298298299299300301302302301301302303302300300298298298297297298297296295294295293293294294295296296296297298298297298297297297297297297296295296295295295295295295296296297296296296297296296297297297297298298298298297298298297297296297298298298297298299298298299299299299299299299299299298298298298297295295295295296295295295298297297298298298298298298297297298297298298297297297297297296295297297297297297297297297298297296297296295295295295295294293293294294294295295295294294294294294295294293293292293295295294295295295295296295294293294295295294296296295296296295295295295294295295295296294295295296295296297297297298299298298298300301299299301300300300299299298296296295296296296296295296296296297296296297297297297297296297297296297298297296296296294295296295296295295295295296296296298297296297296297297299299299299300300300299300299300300298299300300300301301302301302302302302301301301301302301300299301301301301301300300301301301301300298297298298296298298298297297296296296297297297298297298298296297297297296297296296296296295295294294294294294294294294294293294294294294294294294295294294294294295295295295295296296296296296296296296296296296295296295295295296295295295295295295294294294294294294294293293293293293292292293293292292292292291291291291291292292291291291291292292292292292292292292291292291291290290290290290289289289289289289288288288288288288289289289288288288288288288288288288288288287287287287287287287287287287287287286286286286285286286286286286286286285286286286286286286287287286286286286285285284284285283284284285285285284284284284283283283283283283283283284283283283282283283282282282282281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299295294999999999288289287297286283285282285286285286286286287289289290290292293293294295295296296297297298298298298298298297295293291289289288290292295297299301301300302303303303304305304303302301297999999999999999999999296298300298299298299298300300300302302302303302301299299299299300299299298295297295294294294294294294294293293293293293293293294295297297299300300300301302303301301302302303301300298298298297298297297295295295294294293293294295296296298297298297298299298297297297296297296295295295295295295295295296296296296297296296297297298298298298298297297297296298297297297296297298298298297298299299299297298299299299300299299299299299299299297296295295294295294295296296297298298298297298298297298298298297297296298297296297297296296297297297297296297297297297298298298298297296296295295294294294294294294295295295295295295294295294294294294292294294295294295296296295295294294295295294294294295295295296295295296296296297296296296297296296297297296296297297297298299299299300299300301300300299299299298299299298296297297296297295296295296296296297297297298298298297298298298298298297298297296296295296295295296295296295295295296296297297297297298298298299298299299299300300298299299300299300300299300300301302302301302301302302302301300302302301299300301301300301300300300301301300300299298298298298297299299298298298298297297297298297297297298298297297298296296297296295296296296295295295295294294294294294294294294294295295295295295295295295295294294295295295295296296296296296296296296296296296295295295295295296295295295295295295295295294294294294294294294294293293292292292292292292291292291291292291292292292292292292292292292292292292292292292292292292290290290290290290290289290289289288288288288288288289289289289289289288289288288288288287287287287288287287287287287287287287287287287287286286286286286286286286286286286286286286285286286287287286286286286286285284284284283284285285285285284284284284283283283282283283283283283283283283283283283282282282282281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297298295292295999999289288285285284285284285287288287288290291292293294295295296296297297297297298298299299299299299299299299299298297296296296296296297298300300301301301302302303304304305304304303302301297295999999999999295296297299299299298299300301301301302302302302301301301298299299300299297298299298295294294293294294294294294294292292294294295294295297298299300300301302303302302302302302302301299298298298297297297298295294295294294293293294295296297297298298298298298298297297297296296296295295294295295295295295294296296297297295295297297298298298298298297295296297297297298297296296296298298298299299300299298299298299299299299299299299299300299297297296296295295295295295296298299298299298298297298297298297297296296296298297297296296297297297297296298298297297297298298298298297297296295295295294294294295294294296295295295295294295294295294294294294294295295296295295295294295295295295294295294294295296295296297296295296297297297297297296296296296296295296297296298298299299299299298300300299300300299299298298297297297298296296297296295296295296296297297298298298297298299298298299298298297297296296297296295296296295295295295296296297297296296297297298298298298298299299299299299300300299300300300301301301302302302301302302302302301300302302301300300301301300300300301301301301300300299299298300299299299299298298298299297298297297298297299299298297299298296297297297296297296295295295295295294294294294294294294295294295295295296295295295295295295294294296296296296296296296296296296296296296295296295295295296295295295295295294294295294294294294294294294294294293293292292292292292291291291291291292292292292292292292292291292292292292292292292292292292292291291291291291290291290290289289289289288288289289289289289289289289289288288288288288288287287287287287287287287287287287287286287287287287286286286286286286286286286285285285285286287286286287286286286286286284284284285285285285285285284284284284284283283283282282283283283283283283283283283283283283283282281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292289289999999999289284286286287289290290291291292294294294295296296297297298298299298298299299299299300300300300300300299299298298299299299300300300300300300301301302303303304305305304303303303302301299297999999999296297297297298298297298298301301300301302302302302301300298299299299299299298299299298294296293295294294295295295293294295296295297296298298299300300302302302303303303303302302302299298298298299297298297296295295295294294293293295296297298299297298297298298297297297297296296295294294294295296295296296296295296295296296296296296296297298298297297298298299299298297297297298298298299299299299298298299298299299299299298298297297298298298297297296295295296297296297297298298297298298298297298297297297296296296297297297296296297297296297297297297297297298297297297297298297297296296296295294294294294293294295295295295294294294294294294293293294295295296296296295295295294295296295295295295296295296296296297297296296297296296296297297296296296296296298297297298299299299297298298299299298298298297297296296297297297297297296296296296298296297296297299299298298298299298299298298298298296296297297296296295295295295295295295296297297296297297298298298298298298298298298299299300300300300300300301301301302302302302301303303302301301302302301301301301301301301301301302302301300300299300300300299298298299298299299299297298298298297299299298299298298297297298297297297296296295295295295295294294294294294295295295295295295296296296296296296295295294294295296294296296296296296296296296295296295296296296296296295295295295295295294294294294294294294294294294294293293293292292292292292292292291292292292291291292292292292292291292292292291291291292291291291291291290290291291290290290290289289289289289289289289289288289289289289289288288288288288287287287287287287287287287287287287287287286286286286286286286286286286286286286285285286286287287286287286286286285285284284284284285285284285284284284284283284283283283283283283283283283283283283283283283283282283282281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295290287999284289282283285289289291291292293294294294295295295296296296296297297298298298298299299299300300301301301301300301300301300299300300300301300300300300301302302303303304305304303303304304303302300298299999999295297299300298297298298300301301300301301301302302302300299298298299298299300300299299299297296296294293294295294294295296296295295296297298299299300301302301302303303302302301301299299298298299299298297296296295295294294293294295296297298297297297296298298297297297296296295295295294294294294295295296296296296296296296297295297296298296298298296297296298298298297297298298298298300299299299298298299299298298299298297296298296296297298297297296295296296296297297297298298298298298298298298297297297297296296297297297296296296298297297297296297296297297298297297297297297297296296297296295295294294294295295295294294294294293294292292294294294295295295296296295296294293294294295296296296296295296297297296296296296296296296296296296295296296296296296298297298298299299299299299299299298297299298297297297298297296297298296296297298297297297298299299299299298298299299299299297298298297297298297297297297296296297296295297297297296296298298298297297298298298298298298299300300300300300300300301301302302302302302303303302302301302302302302301301300301301302301301302301301300300300299300300299298298299300301300301300299298297297298298298299298299298298297297297297296296295295295295295295295295295295295296295295296296296296296296296296295295295294295296296296296296296295295296296296296295295295295295295295295295295295294294295294295294294294293293294294293293293292292292292292292292292292292291291291292292292292292292292292292292292291291290290291291291291290291291291290290290290289289289289289289289289289289289289289288288288288288288287288287287287287287287287287287287286286287286286286286286286286286286286286286286286286287287287287287286286285284285285285285285285286286285284284284284284283283283283283283283283283283283283283283283283283283283281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296999999296295299292287283284285287290287289292292293293294295295295296296296296296297297297297298298299299299299300300300301301301301301301301300300299299299300300300300301300301301302303303303305304303304303304303302303302301298999999294297299297297299298297299300301301301300301300301301300299297299299299299300299299297296298296298295294293293295296296296295295296297298298300300301302303303303303303304302301300299298298299299298298297296297296296295295294295296297298298298297297297298298298298297296295295294295295295295294295296296296296297297297296296297296298296298296296297296298298296297296297297300298299300300300299298299298299298299298297297298298298298298297298297296296296296296296297297298297298298298298298298298297297297297297297297299297297297297297297297297296296297297297297297296297297297297296296296295295295295294295295295295295295295293294294294294294295295295295295295296295293294294295295295296297297296296296296295295295295295295296296295296296297297297296297298298298298299299299300299300300299299298299299297297297298297297297296295295297297298297298299299299298297298298297297299298297298297298297297298298297297295296296295297297298296298298298297297297297296297297298299299299300300300300300300300302302302302302302303302302302302302302302301302301300301301302301301301301300300300300300300300299298299299300299300299299299298298298298298297299298299298296296297296295295295296295295296296296296296296296296296296296296296296296296296296296296295295295295296296296296296296296296295296296296295296295295295295295295295294294294295295294294294294294294294294293294294293293293293293292292292292292292292292291292292292292292292292292292292292291290290291291291291291290290291290290290290290290289290289289289289289289289289289289289289289288288288288288288288287287287286287287287287286286287286286286286287286286286286286286287286285286286286286286286286286284285285285285285285285285285285285284284284283283282283283283283283283283283283283283283283283283283283280281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296292999292297294291287286286287289290290292293293294295296296296296296297297297297297297297298298298299299299299299299300300300300300300300300299299298299299299300300301301301301302302303302303304303302303304303302303303301301300999999296299299300300299297298298300301301301300300299300300300299300299299300299300300300300297298297295295295295294294296296296296296296297297298300300302303303304304303303303303301301300299298298299298298297297297296295296296296295295296298297298297297297297297298297297296295295295295295295294295295296297296297297297296296297297298299298298297297297297298297298299299300300299300300300300299298299299299299299299299298298298298298298298298298297296296297296296297297298298298298298299299299299298298298297297297297299297297297297297297297297297297297297297297297296297296297297297296297296295295295295295295295295296295297295294294295295295295294294295295295294294295294295295294294295295296298297297297295295295295296295295296297297297297298298297297297298298298299298299299300300300299299298298299297298298297296296296296296295297297297297296297296298297297297297297297297298298298298298297298297298298297297296297296297297298298297297298298297297297296296295297298298299299299299299299300300301301302302302302302303302302302302302302302302302301301299300301301300301301300299299300300300300300299299300300300300300299299299298298298298298299296298299298296295295294295296296296296296296296296296296296296296296296296296296296296296296296296296295295295296295296296296296296296296296296296296295295295295295295295294294294295294294295294294294294294294293293294294294294294293293292292292292292292292292292292292292292292292292292292292292291291291291290290291291291290290290290290290290290290290290290290290289289289289288289289289289289288288288288287288287287286286286286286286286286286286286286286286286286286286286286286286286286285286286287286286285285284285284285285285285285285284284284283283283283283282282283281282283283283283283283283283283283283282281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290294291291289288288288289288290291294295294294296296296296296296297297297298297297298297298298298298299298298298299299299299299299299299299299299299300301301301301302301301302302302302302303304303302303303303303302301301300299298303298299300300300299299298299300301300300300300298298300301300300301302301300300299300300296296296296295294297297294294297297296297297298297298301302302303303303303303303303303301301300299298298298298298298297296298295296296296296296296297297297297297297296297297297296295295295294295295295295295296296297296296295296296296297297297299299299297298298298298298298299300300301301300299300300299298299299299299299299298298298297298298298299299298297297297297297296297298298298298298298299299299299298298298298298298298299298297298297296296297297297297297296297297296296296295295295295296296296295296296296295295295296296296297296296295295296296296295294295295294294295296296296295294295294295295297297296296295296295295294294296297297297298297297298298298298299299299298299299299300299299299299299299298298298297296297297295296297297297298298297297296298298299298297298298297297296299299298297298298298298297297296297297296297296298297298297297297297298298296296296297297298298299299299299300300300301302302301302302302302301302302302302303303302302300301301300301301301301300300300300300300300300300299298299299300300298299298299298298297298299299298297300297295296295294296296296297297297297296296296296296296296296296296296296297296296296296296296296295295296296296296296296296296296296296296296296295295295295295294294293294295295294294294294294294293293293294294294294294294294293293292292292292292292292292292292292292292292292292292292292291291291291291290290290290290290290291290289289290290290290289290289290290289289289289289289289288288288288287288288287287287286286286286286286286286286286286286286286286286286286286286286285286286285285286285285286286285284285285285285285285284285285284283283283282282282282282282282282282283282282283283283283283283282281281282281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296291290289288290289289288289291291292290292294295295295295296296296296296296296296296297296296296296297298297298297297297298298299299299299299299299299300300301301301301302302301302302302302302302302303303303303303303302301301301301298301300298300300301301300299299299299300300300300300299299298299300301301301302302301300300300300300299300300299299297298295294296298298298298298298299300303302303303302303303303302302302301300299298298298298298297297297296296295296296296296296297298298298297297297297297296296295295296295295295295295295296296297297296296296296297297298298299299299298299299298298299299299300301300301300299300299299299298299299299299299299298299298298298298298298298298297297297297297298298298298298299298299299299298298299298298298298299299299298297297297296296296297297297297297297297296296295296296296296296295296296296296295295296298296297298297297296295296296296295296295295296296296296296297295294295295295297297296297297296296296296296297297298297297297298298298298298299298298298299298299298299299299298298299299298298298297297296296296296297297297297297296296296298296299298298299298298298298299298298297298298298298298297297297297297297297297297298297296296297297298296295296296299298298299299299299299300300301301302301301301302302301301302302302302302302301301301301301301301301300301300300299300300300300300299299298297300299299298299299298298298299299299298296298296295297295295298296297297297297296296296296296296296296296297296297297297297297297297297297296295296296296296296296296296296296296296296296296295295294294295294294294294294294294294294294294294293293293294294294294294294294293293292292292292292291291291292292292292292292292291292291291291291291291291291290290290290290290290290290290290290290290290290290290289290290290289290289288288288288288288287287288287287287287286286286286286286286286286286286286286286286286285285285286286285285285285286286286286285285285285285284285285285284284284284283283282282283282283283282282283282283282283282282283282283282281281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302999999295293999999295296293292287288289288289288288288290291291292293295296296295294294295296296296296295295295296297296296296296297297296297297297298298298299299299299299300300300300301301301301301301301301302302301301301301302302302303303303303303303302302302302301299299300301301300300299299300300300300300301300300300300299300300301301301301301300300301300300300300301300300299298298299297297298299298299298299301302303303303304303303302302302302301301300299298298298298297297298296296298296297297296296297298297298297297296296297296295295295296295295295295295295295296296296295296296296297298298299299299298299299299299299300299300299299299300300300300299299299298299299299298299298298297297297298298298298298298298298297297298298298298298298299298299299299299298299299299299299299299298298298297297297297296297297297297296297297297295296297296295296296296296296296295296295296298297297297297298296296297297296296297296296296295296296297295296295295296298297296296297296297295297297297297298298298298298298298298299298298298299299299299299299299299299298299299299298298298297297296297296296297297297296295296296298296297297297296297299298299298299297299298299298298298298297297297297296296296296296297296297297297298297297297297297297298299298298298299299300300301301302301301302301301301302302303302301301301300301301300302302303302301300300301300301301300300299299300300300300299300299300299300300299300298299298298298297299296296296297297297297297297297297297297296296296296297297297297297297297297297297297296296295295295296296296296296296296296296296295295295295295295294294294294294294294293294294294293293293293293293294294294294294294294293293292292292292292291291291292292292292292292292291291291291291291291291291291291290290290290290290290290290290290290290290290290290290289290290290290289289288288288287287287287287287287287286287286286286286286286286286286286286286286286286286286286286286285286286286286286286286286286285285285285285285285285284284284283283283282283283283283283283282283283282283282282283282283282281282280280 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299999302301999300999999999999999999303999999999999999999999999999999999999999999999999999999999999999289292298292288289289288292290999284285287288290289289290291292291294294296296296295295296296297297296296295295296295296297297296298297296295296297298298298298298298299299299299299300300300300301300301301301301302301301301301302302301302303303303302303303303301301302300300301299300301301300299300300300301300301300301300300300299298300300301301301300298300301301300301301301300300300299299299299298298298299299299299301302304304303303303303303303302301301300300300299299298298298298297297297297297297295296296296297297297297297297296295295295295295295295295295295296294294296297296296296296297297298298299300299298299300300299300300299301301301300299299299300299299298298299299298299299298297296297297299298299298298299298298298297298298298298298298298298299299299299299299298298298298299299299299299299298298297297297297297297296297297297297297297296296296296296296296296296296297297296297295298297297297297297296296297296296297297296296297296296297295295296298298297297296297297296297297297297297299298297299299299299298298299298298298298298299299298299299298298299298298298298297297297296296296297297297294297298297298297297298297296296300298298297297298299299299298298298298298296297297297296296297296297297297297298297296295297296298297297298297298298299299300300301301302301301301301301302302303302302302301300300300300301302302302301301301301301301300300300299299299300299299299300300300300298299300299298299298298298297297299297297296299297297297297297297297296296296296296297297297297297297297297297297297296296296295295295296296296296296296296296296295295295295294295294294294294294294294294293294294293293293293293293293294294294294294294294293293293292292292292291291291292292291291292292291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290289289288288288288287287288287287287287287286286286286287287287287287287286286286286286286286286287286286286286286286286286286286285285286285285285285285285285284284283283283283283283283283282283283283283283282282283283283283283282282281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300299300300299298297297297294999999999999302999999999999999999999999999999999999999999999999999999999288288289289289287287289289289287287286288289291291290290291291292294294295296296296296296297297296297296296295295295296297296297296296297298297297297297297298298298299299299299299300300300301301301301301301302302302301300301301301302302302303302302302301302302300302302301301301300300301301300301300300300300300301302302301301300299299300300301300301301298300302301301300300301301300299300300300300299299299299300300300301302303302303303303303302302302301301301301300300299299299298297297297297296297297296296296296296296297297297296295295294295295294295295295295294294294295296296296295295296297298298299299299299299299299299299299300300300300300300299299299299299299299298299299298299299297297297298298298298299298298298298298298298298298299298298298298298299300300299299298298299299298298298298299299299298298297297298298298297296297297297296296296296296296296296296296297296296297297296298298299298298298297297296296295295297298297297297297298295294296296294298297297297297297297297297297297297297298298297298298297298298299298298297297298298298298299299298298298298299298297297297297297297297297297297296297297298297298297297297296297299298297297297298299299299298298299298297298297296297297296296296296297297296296297298297297297296297297297298297297298298298299300300301301301300302302302302302301302302301300300301300302302302302301301301301301302302301300299299298299298298299299299300300300299299299296296297297298297297296298297298297296297297297297297297297297297297297297296297297297297297297297296297296296296296295294295295296296296296296296296295295295295295295294295294294295295295295294294294294293293293293293293294294294294294294293294293293293292292292292291292292291290290291292292291291291291290291291291291291291291291290290290290290291290290290290290290290290291291291291290290290291290290289289288288288288287287287287287287286286286286286287287287287287287287287287287287287287287286287287286287287286286287286286286286286285285285285285285285285284283283283283283283283283283282283283284283283283283283283283282282281281281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299300302300299299300300301300300301999999303302303303305304999999999999999999999999999999999294295292289290290290290292291291291292291291294293291290290292292292291292292292292294295296296297296297297297297297296297296296296296297298298297297297297297297297298298298298298299300300299299299299300301301302301301301301301302302301301301301302302302302302302302302303303302303303303302300302299300301301300300301300300300302302303302301300301300300299300301300301302301302301301301301300300301299300301301300301298299299300300300301302302303303303303303303303302301301301301301300300300299299298298297296297297296297296296295296295296296297297296296295295294294295295294295294295295294295296296296295295296297298299299299299299299299299299299299300300300300300299300299299299299298298299299299298298298298298299298298298299298297297298298298298297298298298298298298298298298298298298298298299299299298297298299299298298298298298298298298298297297297297296296296296296297297297296296296296296297297298298298299298298298299298296296296296296296296297296297296296295296296295295295295296297297297297297297297297297297298298298298298297298298298298298298297298298298299299299298298298298298298297298298297298297297297297296297297297297297296295296298299299296298298298298299299299299298297298298298298297296296297296296296295296295297297296296296296297297297296297297297298299299299300300301300301301300301302301302301301301301301300301301300301302302302301301300301301301301301299299300298299299300299299299299300300300299298298296297296297297297298299298298298297297297297297297297297297297297297296297297297297297297297297296296296296296296295295295295296296296296296296296295295295295295294295294294295295295295295295295293294293294293293294294295294294295295294294294294294293293293293292292292291291290290291291292291291292291291291291291291291291291290290290290290291290291290291290290290290290290291291291291290290290290290290289288288288288287287287287287287287286286286286287287287287287287287287287287287287287287287287287287287287287287287287286286286285285285285285285285285285284284284283283283283283283283283283283283283283283282283283282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294298298300301300299298299299299300300301301301302303304306306306306999999999999999999999999296295294293291290291290290292289291292292292292292291291290291291293292292292293293294295294295295295296296296297297297297297297296296296296297298299299298298298298299299297298298298298299300299300300300300300301302301301301301301301301302301301301301301302302302302302302301303303303304304304304303302301300299300300299301301300300301301303303302302299301300301300301301301302303302302302302300300300299300300300301301301301299298299300300300301302301302302302302303303302300299301302301301300299299299298298297297297296296296297296295295295295295295296296296296296297295294294295295294295295295295295295295296295295296296298299298299299299299298299299299299300300300301300299299299299298298298298298298299299299298298298298298298297298298297298298298300298298298299298298298298297298298298298298298299299299299298298298298297298298297298298298298297298297297297297296296296296297297296296296296296297296296298298298298298298298298298298297296296297297297298297297297296296295295295295296295296296296297297297297298297298298297298298298297298298298298297297298298298298298299298298298297297298298298298298298298298297297296297296297296296298298297298296297297299299296297297299299300300300300300298298298299298297297297296295297296296295294297296296296296296296297297296297298297298298299299300301299299300301301301301301301300300301300300300300301301301302301302301301300301301301301300300300299300299300300299299297297298300298299297298297297296299297298298298298297297297297297297297297297297297297297297297297297297297297297297297297297297296296296296295295295296296296296296296296296295295295295295295295295295295295295294295294294294293294294295295295294295295295295295294294294294293293293293293292292290290292292292292292291292292291292291292291291291291291291290290290290290290290291291291291291291290291291291291291291290290290290290289289289289289288288287287287287287287286286286287287287287287287287287287287287287287287287287287287287287287287287287286286285285285285285286286286285285285284284283283283283283283283283283283283283283283283282283282282282282282281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299299300299300298300299297297298299299299300301301302303304305306305306999999999999999999999999298295291291290290290290289287288289290290290291291291291291291292292294294293294293296295296296296297296295296297297297297297297297297297297297297298300299298299299298299299298298298299299299300300300300300301301302302302301301301301302302302301301300301301301302302302302302302302303303304304303303303302301299300299299299300301300299301300301302302302300302301301302301303302302303302302302301301301299301299301301301301301302300299299300300301302302302303302302302302303302301300301302302301300299299298299298297297297297296297297297296296296295296296296296296295296296295295294295294295294295294294295296296296296295297297298299299298299299299299299299299299299300299299300299299299298298299298298297298298299299299298298298298298298298299298298298298299299299299299299298298298298299299299298298299299298298298298298297298298298298297298297298297297298297296297297297296297297297296296297296296296297297297298297297297298298298298298298297298298296297297297298297295295297295294296296295296296296297296297297297297297297297297297297298298298298298297298297298298298297297297297297297298297297296297298298298298297296296296298297297297297298297298298297296296296297299299300300298298300299299299299299298297298297296297296297297296296297296296297296297296296296296295295296297297298298298299299300300300301301301301301301301301301300300300300300300301301301301301300299301301301301301300301300300300300300300299298300299298299298299298299296299296296299299298297297297297297297297297297297297297297297297297297297297297297297297297297297296297296296296296296295295295295295295296295295295295295295295295295295295295295294295294294294294294293294295295295295295294294295295295295294294294294293293293293293292292292292292292292291292291292291292292292292292292291291291291291291291291290290291291291291291291291291291291291291291290290290290290290290290289289288288287287287287287287287287287287287287287287287287287287287287287287287287288288288287287286287287286286285285285285285286286286286286286285285284284284283283283283283283283283283283283283283283283283282282282282281 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300298298299299299299298298299299299300300301301302303304306306304999999999999999999999298999296291288288288288288288288288288291292292290291292291292292293293294294294295295296297297298297297298297296297297297297298299298297297297297297298299298299299300299299299299298298299299300300301300301301301302302302302302301301301301302302301301301301301301302301301302302301302302302303303303303303302301299299298299298299300301299300300299300300301302302301299302303303304303303303304303302303301302302300301301300301299301299299300300300300300302302302302301301301301302302301300301302301301301301299299299299298297297297298297298297297297296296295295295296296295295296296295295295294295295295294294293296296296296296297298299299299299299298298299299299299300300300299299300299299299298298298299299298298297299298298299298298298298298298298298298299298298298298299299299298298298298298299298297298298298298298297298298297298298298298298298298298298298299298297297297297297297297297297298297297297297297297298297297297298298298298298297297297298297296296297298298298297297297296296296296296296296296296296297296296296296296297297296297298298298297298297297297297297297296297296296296297298296297296297297296297298298297297299299299297298298298297299297297297297297297297297300300300298300299298299298298299298298297296296296297297297297297297296296297297297296297297297297298297298298298298297299300300298299300300300300300300300300300299300299300300301301300300300301301301301301301300301300300300301300300300300299299298298299300299298299298299297298299300297297297297299298297297298297297297297297297297297297297297297297297297297297297297297297297297296296296295295295295295295295295295295295295295295295295295295296295295294295295295294294294295296295295295295294295295295295295295294294294293293293293293292292292292292291291291291292291292292292292292292292292291291291291291291291291290291291291291291291291291291291291291291290290290290290290290290289288288288287287287287287287287287287287287287287287287287287287287287287287287287287288287287287287286286286285285285285285285286286286286286286285285284283283283283283283283283282283283282282283282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300300297296296297298299297298299299300300301301301300303304306305305999999999999999999999999293293288286286285286288288288290290292293292292291292294295294294295294294295296297298298298298298297297297298297298299299299299299298297297298298298298300299300300298300299299298299299299299300300301301301302302302302302302301301301302302302301301301301301302302302302301301301302302302302303302301302301300300299299298299298300300302300298296298300300302302301301302303304303304304303305305304304305303303304302302298299301302302297300301301300301302303302301302301302301301301300301301301301301301301299300299299298298298298299298298297297297297296295295296295295295295296296295295295295295295296296295295297296296296296297298299299300299299299298298298298300299300300299299299298299299299299298300299299297297298299298298298298298298298298299299299299299298298299299299299298298298298298299299299298297299297298298298298297298298298298299298298298299298298298298297298297297298298298298298298297297297297297297298297297297298297297297298297298297297296298298297297297297298298297296295295294295296295296297297297296297296296296297296297297297297297297297297296297297297297296297296296297297297298297297298297297297298299298297297297298298298297297299297298297297298298299299300300299299299299298298298298298298298298296297297297297297297296296296297297296297297297297297297298297297297298297298299300300299298300299299300300300299300299298299300300300299300300299300300301301301301300300300299300299299299299300300299299299298298299299300298299300299299300300298299299299299300298298298298298298298298297297297297297297297297297298298297297297297297297297297296296296295295295295295296295295295295295295296295295296294295295295295295295295295294295295295295295295295295295295295295294294294294294294294294294294293293293293292292292291292292292292292292292292292292292291291291291291291291291291291291291291291292292291291291291291291290290290290290290290290289288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287286286286286286286285285285285286286286286286286286286284284283283283283283283283282282282283282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302999303300300300297297297297297298297298299299299300300300302301301304305305304999999999999999305306303292289286284284284285287289293293293293292292293293293292293294296296295296296297297297298298298298297298298298298299299299299299300299299298299299300300301299299300300300299299299299299299300300301301302302302302302302302302301302301301302302302301301301302302302302301301302301301301301302303303303302301301301299301301299300299299300300298296297300300302302301302303304304304304304305304303305304304303302302302301299299302302303300300300301301301303303302301302303301301299300300301301301301302301300300299299299299299297297297297297298298297297296296296296296295295295296297296296296296295296295295295295296296296295297297298298299300299299298299298298298299299299299298299298298297298299299298297297298298297297298299299299299299299298298299298299299299299298299299299299298299299299299298298298299298297298298298298298298297298298298298298299299298298298298298298298298298297296297297297297297297297297297297297297297297298297297297298297297297297297297297297297298297297297296295295295295296295295295296297296296296296296297297296297297298297297297297297297297297296296295296296296296297298298298298298297297298298297298299297299300299297297297298300298298298300300300300300300300300300299299299299299299299299298298298298297297297297297297296297296296297297297297297297298297297296298297298299300300299300298300300300300300300300299299299300300300299298298300299298300300300300300299300298299299299299298299299298298299299300298297298299299300299299300299300300300300298300298298298298298298298298297297297297297297298297298298298298297297297297297297297296296296296295295295295295295295295296296295295296296296295295296295295295295295295295296296296295295295295295295295295294294294294294295294294294294294293293293293293292292292292292293292292292292292292292292292292291291291291291291291291291291291291291291291291291291291291290290290290290290290290289288288288288288288287287287287287287287287287287287287287287287287287287287287287288288287287287286286286286286286286285286285286286286286286286286286285284284283283283283283283283283283283282282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303302304302301300298298298298298297298298298299300300300300300302301302304305306306999999999999999306305302294286286282282283286288288292292292293293294292292292291293294295296298297297297298298299299299299298298298298299299298299300300300300300300300300301301300300300300300300300300300300299298298300301302302303302302302302302302302302301301302302302302301302302302302302301302302302302301301301303303304301303302302300299300297300298298297298299294297301303303302301303303304303303304304304304304303305304304302302301300299300302302303300300301302302302303303302301301302301301300299300300300301301301301300300299299299299298298297297297297297297298297297298296295295296296295295296296296296296296296295296296296296297296296297297298299299299299299299299299299298299298298299299300299299299300300299300300300298298297297298298298299299299299299299298298298299299299299300299299299298298299300299299299299298298298298298298297298297298298298298298298299299298299299299299299298298298297296297297297297297296297298297297297297297297297297297298298298297298298297298298295297297298297297296296297296296296296296295296296297297297297296296296296297296297297298297297298298297297296297296297297297298298297298299298298298298298299298297298298298298298298297298299299299299300300301301301300300300298299299299299298298299298298299298297297298298298298297297297297297297298298297298297297297296296297297298298298298300299299300300300300300300299298297298299299299299299298300299299300300300300300300300299299299299299299297298298298299299299299299298299299299299299297301298300300300298300300298298298298298298298298298297297297298298298298298298298298297297297297297297297296296296296296296296296296295296296296296295296296296295296295295295294295296295295296295295296295295295295295295295294294294294294294294294294294294294294293293293292293292292292292292292292292292292292292292292291291291291291291291291291291291291291291291291291291291291290290290290290290290290290289288288288288288288288288287288288287287287287287287287287287287287287287287287287288288288287287286286286286286286286286286286286286286286286286286286286285284284283283283283283283283283283283283283283282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306304305303301300300299299299299299299299299298298298299300300300300301301301303304305306310999999999999999999301296289285281281284286288290291292292291292293292292292294295296295296297296296298298298299299297299298299298298298298298299300300299300300299300300299299300300300300300300300301301301300301303300302302302302302302302302302302301301301301301301302302302302302302301301301302302301301301301302302304303302303303302302300300299301301297300298293295299300303302301303303303303303305303304302304305305304303305304302301301302301301302303301301301302302302304301302302302301301300301299300300300301301301301301300299300299299299299298297297299299299299299297296298296296296296296296296296296296296296297296296297297297297296296297297298299299299300300300299299299299299299298299299299299299299299299299299300300298298298298298298298298298298298299298298298299298299299299299299299299298297298299299299299299298298297298297297297298298297298297298298299298298299299299299298299299298298298297297297297297297297297297297298297297297296297297297297297298297297297297297298298298297297297297297297297296297296296295295296297297297297297296296294295295296297297297297297296297297298297297298297298297297298298298299298298299299299298298297298299299298297299299299299299299300299300301301301299300299300300299299299298298299298299298299298298297298298297297297297298297297298298298298297297297296295296297297297299298298300299299300299300299299297297298298299298299299299298298299300299299299299300299299299298298299299298297298298299298298298299299299298297298299299298300299301299299298298298298298298299299299298298298298297297298298298298298298298297297297297297296296296296296296296296296296296296296296296296296296296296296295295295295295295295295295295296295295295295295295295295295295294294294294294294294294294294294294293293293293293293292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291291291291291291290290290290290290290290289288288288288288289288288287287287287287287287286287287287287287287287287287287288288288288288287287287287287287287286286286286286286286286286286286286286286285284284283283283283283283283283283283283282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303303302300300300299300300300300299299300299300300300300300301301301301301302303305305306999999999999999297297292288284280282285287288290291291293292292292292292294294296295297297297297297297298299299299299300299300300299297299298299299299300300300300300300300301301301300300299300301301301302301302304301302302303302302302302302302302301301300301301302302301301302302301301301302302301302302301302302301303303303303302302301300299301300301301300297295297298299301303303303302302302302304304304302303304305305305305304302303303303300299302301301301301301302303302302303303303301301300300299300299300301301301301301299300300300299300299299297298299299299298299298298297296296296296296296296296297297296296297297296297297297297297296296297299299299300300300298299299299299299299298298298298298298298299298299299300299299299298298298297297297297298298298298297299299299299299299299298299298297298298299299299299299298298298298298298298298298299298298298299298298298299299298298298298298298297297297297297297297296296296296297298297298297297297297297298297297297297297297297298298298298298297296297296296296295295296296296296297297297296295297297297296296296296296296296296296298297298297298298298297298299299298298298298298298298298298299297299299298298299300300300300300300301301301301301301300300300299299299299299299300300299299299299299299298299298298298298296297297297298298297297298297297297296297296297298298299299299298299298299298297297298297297299299298298298297296298298298298299299298298298298298299298298298299298297299300299297298298298299297296297299299299298300299298299300299298298299298298298299298298298298297297297297297297298297297297297297297296296296296296296296296296296296296296296296296296296296296296295295296296295295295295295295295296295295295295295295295294295295294294294294294294294294294294294294294293293293293293293293293292292292292292292292292292292292292292292292292291291291291291291291291291291291291291291291291290291290290290290290290289288288288288288289289288288288288287287287287287287287287287287287287288288288288288288288288288288287287287287287287287286286286286286286286286286286286286286284284283283283283283283283283283282282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303301301300300301300300300299301300300300301301299300300300301301302302302301303304305306305999999999999999999999288285281279282285287289289290291292292292292291293294295296296296296297297298297299299299299300299299300300300298299299299299299301300301301300300301302302300300300300300300301302302302302302303303303303303303303303302302302302302301302302302302301301302302302301302302302302302302302302301302301301301300301302303301301301301300301300298296297299299302302303303302302303303304303303303304305305305303304304304301301303299299302301302301301303301302303303302302302301301300300300300299300300300300300300300300300299300300299300299297299300299299299298298298298297297297296296296296296297297296297297297297298297297297296296298299299299299299299298299299299299299299298298298299299298298298298297298299298299299298298299298297298297298299298298298299298299299299299299299298298297298298298298299299299299298298298298298298298298298298298298299299299298298298298298297297297297296298297297297297298297297297297297297298298297296296296297297297297296297297297298298298298298297296296296296296296296295296296296296297297297297297297297297297297296296297297297296297298297297298299299300299298299300300299298297299299299299299299299300300299299300299300300300301300301301302302301301300301300300299299299299299300300299299298297298299299299299298297299298297298298298297297297297297297296297297297297299298299298298297298298298298297297298298298298298297297297296296296298298297297297297298298299298299299298298298298297298298299298298297297298297298296298298298297298298299298299299299298298298298298298298298298298297297297297297297297297297296297296297296296296297297296296296296296296296296296296296296296296296296296295295295296296296296295295296296296295295295295295295294294295294294295294294294294294294295294294294294294294294293293293293293293293293292292292292292292292292292292292291291291291291291291291290291291291291291291291291290290290290290290290290290289288288288288289289289288288287287288288287287287287287287288288288288288288288288288288288288288287287287287287287287286286286286286286286286286286286286286285284283283283283283283283283283283282282282282282282282282 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303301300300300300300300300300301301300302300299300301301301301301301302302302303304304304304304305302999999999999999289289284282281285287288288289291291290289293293294294296296295296297297298298297299299299300299300300300301300299299299300300300300301301301301300301301300300301301300300301301302303303303303303304304304304304304303303303303303302302303303302302301301301302301302302301302302303302303301303300301302301301299298300302302302301302301300298295295301299299301301303303303303303303304304303305305305305305305304303303302304300298301301301301302300300302303302301302302301301300300300299299300300300300300300300300299300299299300298299299299299299299299299298298298297297297297296295296296296296297297298297298298297297297296297298298298299298299299299298299299298299298299298298298298298297297298297298298298298297297297298297297298297298298298298298298298298299298299298298298298297298298298298299299299299298298298298297298298298298298298298298298298298297297297298297297297296296298296298297297297297297297297297298298297297297297296297297297297297297297297297298298298298297297296296297297297297297296298298296297297297297297297296297297297296297296297297297297298298298298298299299299299299300300299299296298299299299299299299299300299299299300300300299300300301301301302301301300300300299300299299300299299298298299298297297298299298298298297299297299297298297298297297297297297297298298296298297298298298298298298297297298298297298298297298298297297297296298296296297297297297297298298298299299299298298297296297297297298299300299298297298298298299298298298297299298298299296296298298298298299298298297297297297297297297297297297297297297297297297297297297297297297296296296297296296297297297296296296296296296295295296296296296296295295296296295296295295295295295295294294294294295295295295294294294295294294294294294294294294294294293293293293293293293292292292292292292292292292292292292291291291291291291291291291291291291291291290291290290290290290290290290289288288288288289289289289288287287287287287287287287287288288288288288288287288288288288288288288288287287287287287287287287287286286286286286286286286286286286285284283283283283283283283283283283282282282282282282283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301299301300301300300301301301301302301300301300301301301301301302302302304304304303302304304999999999999999295291289285283281284285286287288289292291291291293294295296295295296297297298298299298299299298301299301301301300299299298298301300301302302302301301301301300300300300301301301302302303303303304304304304305305304305304304303304303303303303304303302301301301302302303302301303302303303303302303301300302301301299300299301301302301302302302298295298302299297301301303303303302301302303303304304304305304304305304304304304303301299299301301302301301303300302301302302301300300300300299300300300300299299300299300299299300300299299299298298298300300299299300299299299297297297297297296297297297297297297298298298298298297297296297297298299299298298298298298299299298299298299297298298298298298298298298298298298298298298297298299298298298298298298298298298298298299299298298298297297297298298298299298298298299298298298298298297298298298298298298297298297298297296297297297297297296297297296296297297297297297298297296296298297297297297297298297295296297297297297297296297298298297296296297296296297296296297296297297296297297297297297296297297297296297297297297298298298298298297298298299299298299299299299298297298299299299299300300300300300300300300299300300300300300301300300300300300300299299300299299299299298298298299299298298298298297298299299299297297298299298298297297297297297297298298297297298298298298297298297297298298298298298297297297298296296298297297297297297296297297297297298298298299298298297298297296297297298299300300299297298297298298297299298296298298298299297297298298298298298298298297297297297297297297297297297297297297297297297297297297297297296297297297297296296297297297296297296296296296295296296296296296296296296296296296296295295295295295295295294294294294295295295295295294295295295295294294294294294294294294294293293293293292292292292292292292292292292292291291291291291291291291290290290290291291291291291290290290290290290290290290289289288288289289289289289288287287287287287288287287287288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287286286287287286284284283283283283283283283283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301300301302301300301300300302300300301301301302301301301301301302303302303304304304303303302303304305999305301298293290287281282283284285285286288291290292293293294294295296295298296297298298299299299299300300299300299300299300300300300300301302302301301301301301300300300300300301302301302302303303303304304304305305305305304304304304303303303303304304304303302301301302302303302302302302302303302303301302300302301301300300299301301302302301302302301302301299299300302302302302302301302303303302300304304305305305305305305304303303301299299301300300300301303301301301302301302300300299299301300300299299298300299300300300298299298299298299299297298299299299300299299299298298297297297297296296297296297298298298298298297298297296296297297299298298298297297299299298298299298298298298298299298298298298298298298298297298297297298298298298299298297298298298298298298299298299298297297297296295298298298299298298298298298298297298298297298298297298299298298298299298298298298297297295296296296295295297296296296296297297297296296296296296296297296296297297297297296296297297297297297297297297297296296296296296297297297297297297297297297297297296297297296297297297297297298298298298298298299298299299299299299299299299298298299300299299299300300300300299300299298298300299300300300300300300300300299299299299299299299298299298298299298297297298298299299299299298298298298298298298297296297296297296298297297297297297297297298298297297298298298298298298297297296296298296295296296296296296298297297296297298298298298298298297297297298296297298298299298297298297299298298298298297297297299297297297298298298298298298298298298298298298298298298297297297297298298298297297297297297297297297297297296297296297296297297296296296296296296296296296296296296296295296296296295295295295295295295295294294294294294294295295294294294294294294294294294294294294294294294293293293293292292292292292292292292292291291291291291291291291291290290290290290291291291291291290290290290290290290290290289289289289289289289289289289288288287287288288288288288288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287286285284284284283283283283283283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305304302301299300301300300299300300300300300300300301301301301301301302302302303303304305305305305304303303303304303306302301296292286284283284285285285286289293294293296296295296296296298297297298298298300299300299300300299298300300299299300300301301302302302302302302301301301300300300301301301301302302303303303304304304304304305305304304304303303303304304304304304303302302302302302302302302302302302302302302300301302302301301302301301299300301301302302302302302302299298300299302301301301301302303303302302303304305305304303304304302302302302301300301300300301302301301301301301302302300300299299299298300298300299300300300300300298299299298298299299299298298298298299299298299298298297297297297297297298298297298298297298298297297296296295297298298298299298298299298298298298298298298298299298299299298298299299298298298297297297297298298298298298298298298298298299298298298298298298298297297296298298299298299298298299299298298298298298298298299298298298298298298298298298298297298297297296296296297296295295296296295297296296296295295294296295296297298297297297296296296297296297297296296297297295296296295298298298298298296297297298297297297297297297297297297297298298298298298298297298298299299299300299299299299299298299299299299299298300301301300299300300299298300299299300300300300299299299299300300299299299299299298298298298298298298297298298298299299299298298298297298299298298296297297298297297297298298298297297297297297298297298298298298298298297297296297296296295296295296296296297297297296297297297297298299297299297298298298298298297298299299298299299298298296298298299298297297297296298298298298298298297298298298298298298298298298298298297297297297297297297297297297297296296296296296296296296296295295296296296297297296296296296296296295296296296296295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294293293293293293292292292292292292292292292291291291291291291291291291291290290290290291291291290291290290290290290290290290290290290290290290290290290289289288288287288288288288288288288288288288288288289288288288288288288288288288287287287287287287287287287287287287287287287287286286286286285285284284284283283283283283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304303303301300300300300300300300299300300300300300300300301301301301301302302303303304305305305306305303302302304303302305298302302999286284282284284285287291293294295295296297297297297297297297298298299299300300300300300300300300300300300301301302302302302303303303303302302302301301301301301302302302302302303303303304304304305305305305304304304304304304304304304304304304303303302302302302302302302302302303302302301301301300301301301301301300300300300301301302301301302301301302302302302302301301302302302302302302303304304303303303303303302302301300300300301301302302301301301301301301301300300299299299299299299299299299299299300300299299299299299299299299299299299299299299299299299299298298298297297297297297298298298297298298297297296296296298298298298298298299299298298298298298298298298298298298299299299298298298298298298298298298298298298298298298298299299298299299299299299298298298298298298298298299298299299298299298298298298298298298298298298298298298298298298298298298298298297297297297297297297297297297297297297297297297297297297297297297297297297297297296297296297297297297297296296297297297297297297297298298297297297297297297297297297297297297297297298298298298298298299299299299299299298299299299299299299299299299299299299299300300299299299299299299299300300300300300300300300300300300300300300300300299299299299298298298298298298298298299298298298298298298297297298298297297298297297297297297297297297297297297297297297297297298297297297297297298298298297297297297296296296296295296296296297297297297298298297297297297297297297298298298298298298298298298298298298298298298298298298298298298298297298298298298298298298297297297297297297297297297297297297297297297297296297297296296295296296296295295295296296296296297297296296296296296296295296296296296296295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294293293293293293293292292292292292292292292292291291291291291291291291291290290290290290290290290290290290290290290290290290290290290290290290289289289289288288288288288288288288288289288288288289289289289288288288288288288288288287287287287287287287287287287287287287287287287287287287287286285284284284284284283283283283283283283283283283283 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301303302301300300299300300300299300300300299300299300300301302302302302302301302302303304305306305305306305999999999303999999999999999999999999999275283285287289292294296297297297298298298297297297297299299299300300299300299300300301301300300301301302302302303303304304304304303303302302302302302302303303303302303303304304304304305305305305305305305304304305304305305305305305305304303303303303302302302303302302303302302302301301301301301302301301301301300301301302302302303302302302303302302301301302300300301301301302302304303303303303302302302302302301301301301301302302301301301301301301300300300300299299299299299299299299299299299299299299299299299298299299298298299299298299299299298298298298298298297297297297297298298298297298297297297296296297298298298298298298298298298298298298298298298298298299299298298298298298298298298298298298298298298298298298298298298298298298298298298299298298298298298298298298298298299299298299299298298298298298298298298298298298298298298298298298298298298298298297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297296296297296297297297297298298297297297297297297297297297297298298298298298298298298298299299299299299299299299299299299299299299299299299299299299300299299299299299299299299299300299300300300300300300300300299300300300299299299299298298298298298298298298298298298298298298298298298297297297297297296297297297297297297297297297297297297297297297297297297297297297297298298297297297297297297297297296295295295296296296296297297297297298298298298297297298298298298298298298298298298298298298298298297297297298298297298298298298298297297297298297297297297297297297297297297297297297297297297297297297297296296296296296296296296296296297297297297297297296296296296296296296296296296296295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294293293293293293292292292292292292291292291292291291291291291291290291290290290290290290290290290290290290290290290290290290290290290290290290290290289289289288288288288288288289289289289289289289289289289289288288288288287288287287287286286287287287287287287287287287287287287287287287287286285285284284284284283283283283283283283283283283284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305302302300300299299300300301300300300300299299299300300300301302302303302302301302301303304306304999999304999999999999999999999999999999999999999999999283286289292295297297298298298299299298298298298298298299298299300299300299300300301300300301301301302302303303303304304304304304304303303303302302302302302302303303303304304304304304305305305305305305305305306305306305305305305305305305303304303303303303303303304304303303303302302302302302302302302301301301301302302302303302303302302303302302302302302302301301301302302303303303303303303303302302302301301301301301301301301301301300301301301300300300300299299299299299299299299299299299299299299299299299299299298299299299299298299298299298298298297298297297297297297297298298298298298297297297296297297298298298298298298298298298297298298298298298298298298298298298298298298298298297298298298298298297297298298298298298298298298298298298299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297296297296297297297297297297297297297298298297297297297297297297297298298298298298298298298298299299299299299299299299299299299299298299299299299298299299299299299299299299299298299299299299299300300299300300300300300300299300300299299299299298298298298298298298298298298298298298297297297297297296296297297297296297297297297298298297297297297297297297297297297297297298298298298298298298297297297297297297296296296296296295296296296296297297297297298298298298298298298298298298298298298298298298298298298298298297298298298298298298298298298298298298298298298298298298297297298297298297298298297297297297297297297297297297296296296296296296296296297297297297297296297296296296296296296296296296295295295295295295295294294294294294294294294294294294294293294293294294294294294293293293293293293293293292292292292292291291291291291291291291291291291291291290290290290290290290290290290289290290290290290290290290290290289290290290290290289289288288288288288288289289289289289289289289289289289288288288287287287287287286286286287287287287287287287287287287287287287287287287286286285284284284284284284284283283283283284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304302300298298299299299300301299299299300300299299300301301301302302303302302301301302303306306303999999999999999999999999999999999999999999999999999999285289291295297298299299299299299299298299299299299299300299300300300299299300300300300300301301301302303303303304304304304305304304304304304303302302303303303303304304304304304304304304304304304305305305305305306305306305305305305305305304304304304304303302303303303303303303302302301302302302302301302301301300301302302303302302303303302302301302302301302301301302301301302302303303303303302303302302301302301301301301301301301300301301301301301300300300299299300300300299299299299299299299299299300299299299299299299299299299299298298298298298298297297298298298298298298298299298298297297297297297297298299299298298298298298298298298298298298298298298299299298298298298298298298298298298298298298297297298298298298298298299298299299299299299299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297297297298298298297297297297297297297297297297297297297297297297297297297297297297297297298297297297297297297297297297297297298298298298298298297298297297297297297298298298298299299298298299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299299300299300300299300300299300300300300300300300299299299299299298298298298298298298298298298298298298298297297297297297297298297297297297297297297298297297297297298297298298297298297297298298297298298298297298297297297297297296296296296296296296296296296297297297297298298298298298298298298298298298298298298298297298298298298297297298298298298298298298298298298298298298298297297297297298298297297297297297297297297297297297296296296297297297297296296296296296296296297297297296296297296296297297296296296295295295295295295295295294294294294294294294294294294295294294294294294294294294294294293293293293293293293293293292292292292292291291291291291291291291291291290290290290290290290290290290290290289289289290290290290290290290290289290290289289289289289288288288288288288289289289289289289289289289289289288288287287287287287287286286286286286286287287287287287286287287287287287287287286286285285285284284284284284284284284284284285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303301300298298298299300300300300300300300300300300300301301301302303303303302302303302304306305306999999999999999999999999999999999999999999999999999999289292295297298299299299300299299299299299299299300299300299299300299299299300300300300300301301302302303303304303304305305305306305305304304303302303303303303303304304305305304304304304304304304305305306306305305305306306305306306305306305305304304305304303303303303303303303302302302302302302302302302302300300301301303303302303303302303303302302302301301302302302302302302302303302302302302301302301301301301301301301301300300300300300300301300300300300300299300299299299299299299299299299299299299299299299299299299299298298298298298298298298298298298298298299298298298299298298298297296298297297298299299299299299299299299298298298298298299299299298299299299298298298298298298298298298298298298298298297298298298298299299299298299299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297298298298298297297297297297297297297297297297297297297297298298298298298298298298298297297297297298298298298298298298298299298299298299299299299299299299299299299299299299299299299300299300300300300299299299299299299299299299299299299299300299299299300299300300300300300300300300300299299299300300300300299299299298298298298298298298298298298298298298297297297297297297296297297297298298297297297297298298297297297297298298298297298297297297298298298298298297297297297297296297297296296296296295295296296296297297297297297297298298298298298298298298297297298298297297297297298297297297297298298298298298298298298298298298297297297297297297297297296297297297297297296296297297296296296296297297297297297297296296296296296297297296297297297297297297297296296296296296295295295295295295295295294294295295295294294294294294293294294294294294294294294293293293293293293292292292292292292291291291291291291291291291291291291290290290290290290290290290290290290290289290289290290290291290290290290290290290289289289288288288288288288288289289289289289289289289289288288288288287287287287286287286286286286286287287287287287287287287287287287287287287287287286285285285285285285285285285285285285285286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303301302301298298299299300300301301301301301301300301301301301302302302303303303303303303305305999999999999999999999999999999999999999999999999999999999290293296298299300299300299300300299299298299299300301300301300300299299298299300300301301301301301302302303303304304304305305305306305305305305304303302303303303303304304305305304304304304304304306306306306307307306306306306306306306306306305305304305305304304304304303304304303303302302302303303303303302301300301300301303304303301302303303303303302304301301301301303302301302302302302302302302302301301301302301301301300300300300300300300300300299299300300300299300300299299299299298298299298299299298299299298299298298298298297297297297297297298298298298298298298298298298298298298298298298298298298299299299299299299298299299298298298298298298298299298299299298298298298298298297297297297297298298298297297298298298298298298298298299299299299299298298298298298298298298298298298298298298298298298299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297297297297297297297298298298298298298298298298298298298298298297297297297297298298298298298298299299299299299299299299299299299299299299299299299299300300300300300300300300299300297299300298299299299299299299299299299299299299299299299299300300300300299299299299299300300300300299299299298298298298298298298298298297297298297297297297297297297297297297297297297297297297297297297297297297297298298298297298296297298298298298298298298297297297297297297297297297296295295295295296297296297297297297297298298298298298298298298298298298297297297297298298298297297298298298298298298298298298298298298298297297297297297297297297296297297297297297297297296297297297297297296297297297297296297296296297296297297296296297297297296297296296296296295295295295295295295295294294295295294294294294294294294294294294294293294293293293293293293293293293292292292292291291291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290289289289288288289288289288288289289289289289289289289289289289288288287287287287286287287287286287287287287287287287287287287287287287287287287287287286286286286285286286286285285286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302301301300299298299300300300301301302302302302302302302302302302302302303302302301301299302999999999999999999999999999999999999999999999999999999999290294296298299300301300300300300300300299299300300301300300301300300300300300300301301301301301301302302303303304304304305305305306306306305305305305304303303303303303304304304304304303303303304304305306306306306307307307306306306307307306306306305305305304305304304304304303303303303302302303303303303303302301300299298300302304304302303303304303303302302301300301301302302303302302301302301301302302302302301301301301301300300300301301301300300300300300301299300300300300299300300299299299298298298298298299298298298298298298297297297297297298298298298298298298298298298298298298298298298298298298299299299299299299299299299299299299299298298298298298298298298298299298298298298298297297298298298298298298297298298298298299299298298298298298299299299299299298298298298298298298298298298298298298299299299299299299298298298298298298298298298298298298298298298298298298298298297298298298298298298298298298298298298298298298298298298298298298298298298298298298298297297298297297297298298298298298299299299299299298299299299299299299299299299299299299300300300299299299300300300300300299299299299299299299298299299299299299299299299299299299299299299299299299299299299300300300300300299299299298298298298298298298297298297297297297297297297297297297297298297297297297297298298297297298298298297297297298298298297297297298298298298298298298297297297297297296296296296296296295296296296297297297297297297297298298298298298297297297297298298297297297297297297297297297297298298298298298298298298298298298298297297297297297297297297297297297297297297297297297297297297297297297296296297297296297297296296296296296296296297296297296296296296296295295295295295295295295295294294294294294294294294293293294293294294294293293293293293293293293293293292292292292291291291291291291291291291291290291291291291291290290290290290290290290290290290290290290290290291291291291291290290290290290290289289289289289289289289289289290290289289289289289289289288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287286286286286286286286286286286286286286287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301300299298298299300300300301302302302303303303303303302302302302302302301298301999999999999999999999999999999999999999999999999999999999999291293296299300301301300301300300300300300300299300301301302302301301301301302301301302302302302301302302302303303304304305306306306306306306306306306306305304303303303304304304304304304304303304304304305306306306306306307307306306306307307306306306305305305305304303304304304304303303303303302303303304304302301300299298999300302303304304304304304303304302302301302301302302301301301301302302301301302301302302301301301301300299300300301301301300300300299299299299300300299299299299299299299299299299299299298298298298298298298298298298298297298298299299298298299298298298298298298298298298298298299299299299299299299298299299299298299299299298298298298298298298298298299299298298298298298298298298298298298298298298298299299299299299298299298298299299299299299299299298298298298298298299298299299299299299299299299299299299298298298298298298298298298298298298298297298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298299299299299299299299299299299300300300300300300299299299299299300299299300300300300300300300300299300300299299300299299299299299299299299299299299299299299299299299299299299299299300300300300299299299299299298299298298298297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297298297297297298298298297298298297297297297297297296296296296296296296296296296297297297297297297297297298298298298297297297297297297297296297297297297297297297298298298297298298298298298298298298297297297297297297297297297297298297297297297297297297297297297297297297297296296296296296296296296296296296296296296296296296296296295295295295295295295295295294294294295294294294294294294293294294294294294294294293294294294293293293293293292292292291291291291291291291291291291291291291291291291291290290290290290290290290290290291290290290291290291290291291291291290290290290289289289289289289289289289289289290289289289289289289289289288288287287287287287286286287287287287287287287287287287287287287287287287287287287287287287286286286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302301300298298298298299300301302302302302302303303303303303302302302300301299298999999999999999999999999999999999999999999999999999999999999289293295298300301301300300300301300300299300300300301302301302302301301301301302302302303302303303302303303303303304305305306306306306306306307306306306306306305304304304305304304304304304304303304304304305306306306306306306307306306306306306306306306305305305305305305305305305304304303303303303303303304304303301300298298299300302304304304304304304305304303303302301302301301301300300301301302301302302301301301301301300301300301301301301301301300300299299299299299300300300299299299299299299299299299299299299299299299299298298298298298298298298298298298299299298299299299299299300299299299299299299299299298298299299299299299299299299299298298298298298299299298298299299299298298298298298298298298298298298298299299299299299299299299299299299299299299299299299299299298298298298298298298298298299299299299299299299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298299298298298298298298298298298298298298298298299299299299299299299299299299299300300300300299300300300300300299299299299300300300300300300300300300299299300299300300300299299298299299299299298299299298299299299299299299298299299300300300299299298299299298299298298298298297297297297297297298297297297297297297297298298297298298297297297297297297297297297297297298298298298297298298298297297297297296297297297297296296296296296296296296296296296297297297297297297297297297298298298297297297297297297297297297297297297297297297298298298298298298298298298298298298298298297297297297297297297297297297297297297298298298298297297297297297297297296296296296297296296296296296296296296296296296296296295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294293293293293293293292292291291291291291291291290290290290291291291291291291290290290290290290290290290290290291290290290290291291290291291291291290290290290289289289289289289289289289289289290289289289289289289288288288287287287287287287287287286286286287287287287287287287287287287287287287286286287286287287287287286286286286286287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303302301300299299298299299299300300301301302302301302302302302302302301300298297296297300999999999999999999999999999999999999999999999999999999999291295297299300301301301300300300300300300300301301301302301301301301301301302302302302302303302303303303303304304304305305306306306306306306306306306306306306306305304303304305304305304304304303303304305305306306306306306306307307306306306306306306306306306306306306306306305305305304304304304303304304303303302301299297299300301302303303303305305304305304304303303302302301301301301301301302302302302302301302302300301301301300301300301301301301301300300300300300300300300300300300300300300300300300299299300299299299299299299299299298298298298298298298298298299299299299299299299299300299299299299299299299299298298298298299299298298299299299298298298298298298298298298298298298298298298298298299298298298298298299299299299299299299299299299299299299299299299299299299298298298298298298298298299299299299299299299299299299299299298298298298298298298298298298298298298298298298298298298297298298298298298298298298298298298298298298298299299299299298299298298298298298298298298298298298298298299299299299299299299299299299299299299299300300300300299300299299300299300300300300300300300300300300300300299300300300299299299299299298299299299299298298298298298298298299299299299299299299298298298298297298297297298298297297297297297298297297297297297297297297297297297297297298298297297297297297297297297297298298298298298298298297297297297297297297297297297297296296296297297296296296296297297297297297297297297297298298298298297297297297297297297297297297297297298298298298298298298298298298298298298298298298298298298297297297297297297297297297298298298298298298297297297297297297297296296296296296296296296296296296296296296296295296296295295295295295295295295295295295295294294294294294294294294294294294294294294294293293293293293293292292292292291291291291291291291290290290290290290290290290290290290290290290290290290290290290290290291291290290290291290291291291291290290290289289289288288288288288289288288288289289289288288288288288288287287287287287286287287287286286286286286287287287287287287288288287287287287287287287287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304304303303302299298299299299300301301301302302301302302302302302301301300300296294294295999999999999999999999999999999999999999999999999999999999290292295298299301301301300300300301300300301301301301301302302301301301301302302302303302303302303303303304304304305305305305306306307306306306306306306306306306306305304304304305304304304304304303303303304305306306306306306306306306306306305305306306306306306306306306306305305305304304304304304304304304304303303302299297299299300302302302302304305305305304303303302302302301301300301301301301301301301302301302301300301301302301300301301301301301301301300300301300300300301301300301301301301300300300300300300300300300300299299299299298299298298298298299299299299300300299300300300300299299300300299299299299299298298298298298298299299299298299299299298298298298299299298298298298298298298298298298299299298299300300300300299299299299300299300299300300299299299299299299299299299298299298298298299299299299299299299299299299299299299299299298298298298298298298298298298298298299299299299298298298298298298298298299298298298298298298298298299298299299298298298298298298298298298298298298298299299299299298298299299299299299299299299299299300300300299299299299299299299299299300300300300300300300300300300300300300300300300299299299298299299298298298298298298299299299299299299299299298297298298298297297298298298297298297297297297297297297297297297297297297297297297297298298298297297297297298297297297297297298298298298298298298298297297297297297297297297296297297297297297297297297297297298297297298297297297297297297298297298297298298297297297297297297297297297297298298298299298298298298298298298298298298298298297297297297297297297297297297297297298298298297297297297297297297297296296296296295295296296296296296296296296295295295295295295295295295295295295295295295294294294294294294294294294294294294294294294293293293293293293292292292291291291291291291291291290290290290290290290290290290290290290290290289290289289290290289290290290290290290290290291291290291291291290290290289289289288289289289289289289289290289289289289289289288288288287287287287287287287286286287287287287287287288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302303303302301299299300300300301301302301301301301301302302302302301300299297294294295298999999999999999999999999999999999999999999999999999999290294296299300301301302302301301301300301302302303302302302301301301301302302302302302302302302303303304304304304304305304305305305306306305305306306306306306306306305304303304304304304304303303304304304305305305306306305306306305306306305305305306306306306306306306306306306306305305305305304304304304304304304303302300298298298300302302302999304305305305304303303303302302302301301301301301301301301301301301301300301301302301301301301301301301301301301300300300300301301301301301301301301301301300300300300300300300300300300300299299299298298298298298299298299299300300299299300300300299299300300299299299299299298298298299299298298298298298298298298298298298298298299299298298298298298298299299299299299300300300301300300300300299299300300300300300300300300299299299299299299299298299298298298298298299299299299299299299299299299299299299299299299299299298298298298299299299299299299299298298298298298298299299299299299298298299299299299299299299298298298298298298298298298299299299299299299299298299299298299299299299299299299299299300300300300300299300300300300300300300300300300300300301300300300300300300300300300300300299299299299299298298297298298298299299299299299299300299298298298297297298298298298298298297298298298297297298297297297297297297297297297297298298298297297297297297297297297298297297297297298298298297297297297297297296296297297296296296296296296297297297297297297297298297298298297297297297297297297297297298297296297297297297297297297297298298297298298298298298298298298298298298298298298298298298297297297297297297297297297298297297297297297297297297296296296296295296295295295295296296295295295295295295295294294294295295295295295295295294295294294293293293294293293293293293293293293293293292292292292292292291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290291291291291291291291291290290290289289289289289289289289289290290289289289289289289288288288287287287287287287287287287287286287286287287287288288287287288287287287287287287287287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303303302302301299299299300300301301300301301301301301302302303302301300299297296294294298999999999999999999999999999999999999999999999999999999290295296299301302302302302302302302301302302302303303303302302302302302302302303303303303303304304304305304304304305305305305306306306306306306306306307306307307306305304303304304304304304304304304305305305305305305305305306305305305305305305304305305305305305306306306306305305305305305305304304304305305304303303302300299300299300301300300303303304304305304304303303303302302302301301301301301300301301301300300301301301301301301301301301301300300301300300300301301301301301301301301301301301301301301301300300300300300300300300299299299298299298299299299299299299299299299299299299300300300300299299299299299298298298298298298298298298298298298298298298298298297298298298298298298298298299299299300299300300300301301300300300300300299300300300300300300300300299300299299299299299298299298298298298298299298299298299298298298299299299299299299299299299299299298298298298298298299298299299299299298298298298299298298298299299299299299299299299299299299299299299298298299298299299298299299299299298298298298299298299299299299299299299299300300300300300298299299300300300300300300300300300300300300300300300300300300299299300300299299298298298299298298298298298299299299298298298299298297297297297297297297297298298298298297297297297297297297296297298298298297297297297297297297297297297297297297297297297297297297297297297297297297297297297296296296296296296296296296296296296297297297298297297298298298298297297297297297297297297297297297296296297297297297297297297298298298298298298298298298298298298298298297297298298298297297297297297297297297297297297297297297297297297296296296296295295295294294294295295295295295295295295294294294294294294295295295295294294294294294294293294294294294294294293293293293293293293293292292292292292292292292291291291291290291291291290290290290290290290290290290290290290290290290290290290290290290290290290290291291291291291291291291291291291291291290289289289289289289289289289290290289289289289289288288288288288287287288287287287286286286286286287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999311304302303302300299299300299302301301300300301301300301301302301301300300299297294292297999999999999999999999999999999999999999999999999999291293296297299301303303303302302302302302302302302303303302302302302302302302303303303303303304304304304305304304305305305305305306306306306306306306306306307307306306306305304304304305305305305305306306306306306306306306306305306306306305305305305305306305305305306306306305306306305305305305306304305305304303302301301299299301301301302301302302302303304304304304303303303302302302301301301301301300301301300300300300300301302301301301301300301301300300299300300300301301301301301301301301301301301301301300300300300300300300300299299299299299298298298299299299298299299299299299299299300300299300299298298298299298298298298298298298298298298297298298298298298298298298298298298298298298298299299300300300300300300301301301301300300300300300300300300300300300300300299299299299299299298298298298298298298298299299299299299298299299299299299299299299299299299299298298298298298298298298298299298299298298299299298298298298299299299299298298299299298299298298298298298298298298298298298298298299298298298298299298298299299299299299299299299299299299300300299299300300300300300300300300300300300300300300299300299299299300300300299299299298298298298298298298298298299299299299298298297298297297297297297297297297297298298298297297297297297297297297296297297297297297297297297297297297297297297297297297298297297296296297297297297296297297296296296296296296295296296296296296297296297297297297297297297297297297297297297297296297297296296297296296295296296296296296297297298297297298298297298297297298298298298297297297298297297297297297297297297297297297297297297297297297297297297296296296296296295295295295296295295295295295295295294294295294294295295295294294295295294294294294294294294294294294294294294293293293293293293293293293292292292292292292291291291291290290290290290290290290290290290290290290290290290290290290290290290290291290290290291291291291291291291291291291291291291290290290289289289289289289289289290290289289289289289288288288288288288287287287287287287286286286286286287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999304302303302300299300300300301302301301300300300300300300301301301301300299298294291298999999999999999999999999999999999999999999999288289291294295297299301302302302301302302302302302301301302301302302302302302301302302303303303303304304304304304304305305305306305306306306306305306306306306307306307305306306306305305305305306306306306306306306306306306307307307307308307306306306305306306306306305306306307305306305305305306306306307306306305304302302301300300300301302302302303303302302303303304304304303304303303303302302302301301301301301301300300300301301302302302302301301301301299300300301300300301301301301301301301301301302302302302301301300300300300300300300299299299299299298298299299299299299299299299298298298299299299299299299299299298298298298297298298298298298298297298297297297297297297297297298298298298298298298299299300300299300300300300300300300299300300300300300299300300300300300300300299299299299298298298297297297298298298298298298298298298298298299299299299299299299298299298298298298298297298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298299298299298298299299299299299299299300300300300300300300300300300299299299299299299299299299299299298298298298298298297298298298298298298298298298297297297297297297297297297297297297297297297297297297296296296297296296296296296297297297297297297297297297297297297297297297297297297296296296296296296297296296296296296296296296296296296296296297297297297297297297297297297297297297297297297297297297297297297297296296296296297296297297297298298298298298298298298298297298298298298298298298298297297297297297297297297297297298298298297297297297297297297297296296296296295296295295295295295295295295295295295295295295295295295295294294295294294294294294293294293294294294293293293293293293293293292293292292292292292292292291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290291290291291291291291291291291291291290290289289289289289290290290290289289289289288288288288288288288287288287287287287287286286286287287287287287288287287288287287287287287287287287287287287287287287287287287287287287287287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305302303302301300300300300301301300300300300300300300300301301301300300299299295291293999999999999999999999999999999999999999999288288291292294294296298301301302302302302302302302301301301302302303302302302302302302302303303303303304304304304304305305305305305305306306305305305306305306306306306306306306306306306305305305306306306306306306306307307307307307307307307307306306306306305306306306306307307307306306306307306306306306307307306306305304999999999999299300302302303303302303303301302304304304304304304304303303302302302301301300301301301301300301302303302301302302301302301301301301300301301301301302301301301301302302302302302302302302301301300301300300300300300300300300300299299299300299300300299299299299299299299299300300300299299299299298298298298298298298298298298298298297297297297297297297298298298298298298299299299300300300300300300300300299299300300300300299299299299299299300300300300299299299298298298298298297297297297297298298298298298298298298298299299299299299299299298298298298298298297297298298298297297298298298298298298298298298298298298298298298298298298298298298298298297298297298298297298298298298298297298298298298298298298298298298298298298298299299299299299299299299299299300300300300300300299299299299299299298298299298298298298298298298298297298298298298298298298298298298298297297297297297297297297297297298298298298297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297296296296296297296296297297297296296296296296296297297297297297296296297297297297297297297297298297297297297297297297297297297296296296296297297297298298298298297298298298298298298298298298298298298298298297297297297297297297297297297298298298297298297297297297297297297297297296296296296296295296295295295295295295295295295295295295295295294294295294294294294294293294294293294294294293293293293293293293293293293293293292293292292292291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290291291291291291291291291291291291291290290290290289289290290290290290290289289289289288288288288288288288287287287287287287287287286287287287287287288288287287288287288287287287287287287287287287287287287287287287287287287286287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302302301300300300300301301300301301300299301299301300301300300300299299298296295297999999999999999999999999999999999999284286289291292292294295298300301302302302302302302302301302301302302303302302302302302302303303303303304305305305304304305305305305306306308306305306305306306306306306306306305306307306306306306306306306306307306306306307307307307308308307306307307306306306306305306306307306307306306306306307307307307307307307307307999999999999999999999999298299302302302302302999303304304304304304304304304303303302302301300300300300301301301302301303303303303302302302301302302302301302302301302302302301301302302302303303303303303303302301301302301301301301301301301300300300300300300300300299300300300299300300300300300300299299299299298299298298298298298298299298298298298298297298297297297298298298298298299299299299300300301301301301301301301300300300300300299299299299299299300300300300300300300299299298298298298298297297298298298297298298298298298298298299299299299299299299299298298298298298298298298298298298298298298299299299299298298298298298299299298298298298298298298298298298298298298298298298297298298298298298298298298298298298298298298299298299298299299299299299299299299299299299299299300300300300299299299299299298299299299299299299298299298298298297298298298298298297298297298298297297297297297297297297298298298298298298297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297296297297297297297296296296297297297297296296296296296296296297297297296297297297297297297297297298298298297297297297297298297297297296296297297297297298298298297297298298298298298298298298298298298298298298298298297297297297297297297298298298298298298298297297297297297297297296296296296296295296295296295295295295295295295295295295295294294294295294294294294294294294294294294294294294294294293293293293293293293293293293293293293292292292291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290291291291290290290291291291291290291291290290290290290290290290289289289289289289288288288288288288288288288287287287287287287287287287287287287287287287288288288288288287288287287287287287287287287287287287287287287287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302301300300300299300300301301301300300300300301300300300300300300300300299298296298298295999999999999999999286286285285288289291291294296298299301301302302302302302302302302303302302302302303302302302302302303302302304304305305305305305304305305305306307306306305305305305305306306306306306306306307307307306306307306306306307307307307307308308308308307308307307307307306306306306306307307306306307307307308308308308308308308308308307999999999999999999999999999999302302303304304999999304306305305305304305304303303303303301300300300300301302302302302302303302302302302302302302303302302302302302301302302302302302302302303303302303303303303302302302301301301301301301301301300300300300300300300300300300300300300300300300299299299299299298298298298298298298298298298298298298298298298298297298298298298299299299299299299300300301301301301301301301300300300298300299299299299299299299299299299299300300300300299299299298298298298298298298297298298299299299298298299299300299300299299299299298298298298298298298298298298298298298298298299299299298298298298298299298298298298298298298298298298298298297297297298297298298298298298298298298298298298298298299298298298299298299299299299299299299299299299299299299299299299299299299299299299299299298299299299299299298298299298298298298298298298298297297298297297297297297297297297297298298298299298298298298297297297297297297297297297297298297297297297297297297297297296297297297297297297297296297297297297297297296297297297297297296296296296296296296297297297297297297296297297297297297297297297297297297297297297297297297297297297297297297297297298298298298298298298298298298298298298298298298298298298297298298298298298298298298298298298298297298297297297297297297296296296296296296296296296295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294293293293293293293293293293293293293293292292291291291291291290290290290290290290290290290290290290290290290290290290290290290291291291290290290290290290290290291291291290291290291290290291291291291291290290291290290290289289289289289289288288288288288288288288288288288288287287287287287287287287287287288288287287287288287287287287287287287287287287287287287287287287287287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999305303301299298299298300301301301300300300300301300300300300300300300300300300299297296295294293289289999999284287288289290291292294296298300300301302301302302302302302302302303302303303303302302301302302303303303303304304304305305305305305305306306305306306305305304304305305305306306306306307307307307306307307307307306307307307307307307308308308308308307307307307307307307306306306307307306306307308308309307309308308308308308308307999999999999999999999999999999999999999999999999999306306305306305305305305304304303302302302301300301301301301301301302302303302302302302302303303303302302302302302302302302303302302302303303303303303304303303303302302302302302301301301301301301301301301301301301301301300300299299299300299299299299299298298298298298298298298298298298298298298298298298298298298298298298298298299299299300300301301301301300301300300300300300299299299299299299299299299299299299299300300300300299299298298298298297297298298298298298299298299299299299300300299299299298298299299299298298299298298298298298298298298298298298298299298299299299299298298298298298298297298298298297298298297298298298298298298298298298298298298298298298298298298298298298298298298299298298298298298298298298298298298299299299299299299299299299299298298299298299298298298298299298298298298298297297298297297297296296297297297297297297298298298298298298297298297297297297298297297298297297298297297297297297297297297297297297297297297297297297297297297297297297297297297297297296297296296296296296296297297297297297297297297297297297297297297297297297297297297297297297297297296297297297297297298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297297297297297297296296296295295296296296296296295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294293293293294293294293293293293293293292292292292291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290291291290290290290290291291291291291291291290290290290290289289289289289289289289288288288288288288288288288288288288287287287287287287287287287288288287287287287287287287287287287287287287287287287287287286287287286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296298298298299300300300300300299300300300301300300301300300300300300300299298297296295294291289287287289290292293293295297299300301301301301301301302302302302302301302302303303303303301301302302303303303303303304304305305305305305305306306306306306305305304305305304305306307306306307307308307307307307307307307308308308308308308308308308308308307307307307308307307307307307306307307307308309309310310309309308308308308308999999999999999999999999999999999999999999999999999306307306306306306305305305305304304303302302301303301302301301301301302302303303303302302303302303302303302302302302302302302303302301302302303303302303304303303303303302303303302302301301302302302301302302302301301301301300299299300300300300299299299299298298298298298298298298298298298298298298298298298298298298298299298299298299299300300300301301301300300300300300300300300299299299299299299299299299299299299299299300300300300299298298298298297298297297297298298299299299299299299300299299299299298298299299298298298298298298298298298298298298298298297299298299298299299299298298298297298298298298298298298298298298298298298298298298297298298297298297298298298298298297298298298298298298298298298297296298298298298298298299299299299298299299299299299299298298299297299298298298299298298298298298297297297297298297297296297297297297297297297298298298297298297297298298297297297298297298298298298298298298298298297297297297297297297297297297297296297297297297297297297297296297296296296296296296296296296296297297297297296297297297296297297297297297297297297297296297297297296297296296296297297298298298298298298298299299298298298298298298298298298298298298298298298298298298298298298298297297298298297297297297296296296296296295296296296295296296296296295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294294294294294293293294293293293293292292292292292291291291291291291290290290290290290290290290290290290290290290290290290290290290291290290290290290290290290291291290290291291290291291291291291291291290290290290289289289289289289289288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287287286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295297297298298298299299299300300301301299300299301301300301300300300300300299298297295294292291291292293294296296298299300300300300300300300301301302302302302302302302303303302302301302302303304303303303304304305305305305305305306306306307306306306305305305305305306307307306307307308308307307307307307308308308308308308308308308308308308308308308308308308308308308307306307307308309310310310311311309309309308308308308999999999999999999999999999999999999999999999999999308306307307307307306306305305305305304303302301301301301301301301301302302302303302302302303303303302303303303303302302302303303302302302302302303303303303302302302303302302303302302302301302302302302302302302302302301301300300299300300300300299300299299299299298298298298298298298298298298298298298298298298298298298298298299299299300300300301301301301300300300299300300300300300299299299299299299299299299299299299299299299300300299299298298297297297297297298298298298298299299299299299299299299298298298299298298298298298298298298298298297298298298298298298298298298298298298298298297297297297298297298298298297298298298299298298298298298298297297298297297297298298297297298298298298298298298298298298297298298298298299298299299299299298298299299298299299298298297298298298299299299298299299298297298298297297297297297297297297297297298298298297297297298298297297298297297297297297297297297298298298298298298298297297297297297297297297297297297297297297297297297297297297296296296296296296296296296296296296296297297297297297297297296297297297297297297297297297297297297297296296296296296296297298298298298298298298299299298298298298298298298298298298298298298298298298298298298298298298298297298298297297297296296296296296296296296296296295296296296296295295295295295295295294294294294294294294295294294294294294294294294294294294294294294294294294294294294294294294293293293293292292292292292291291291291291291291291290290290290290290290290290290290290291291291291291291291291291291290290291290290290290290290290290291291291291290291291291291290290289289289289289289289289289288288288288288288288288288288288288288288288288287287287287287287287287288288288287287287287287287287287287287287287287287287287287287287286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294296297296297297297299300300299300299299300300301300301301301301301301301300299298296294293293293295296297298299300300299299300299299300300301301302302303302302302302302302302302302303303303303303303303304304305305305305305306306307306306306306305306305305306306306307307307308308308308308307308307308308308308308308308308309309309308308308308308308308309308308307308307308309310310311311311310310309309308309308309999999999999999999999999999999999999999999999999999308309307307307307307307306305305305304303302301301301300301302302302302302302303303303303303303303303303303303303302303302302302302303302302302302303303303302302303303302303303303302302302302302303303302303303302302302301301301300300300300300300300300300299299299298298298298298298298298298298298298298298298298299298298298299299299300300300301301301301300301300300300300300300300300300300299299298298298299298299299298299299299299299299298298298297297297297298298298298299299299299299299299298298298298299299298298298298298298298298298298297298298298298298298298297298298298298298298298298298297298298297298298297299299299298298298298298298297298297297297297297297297297297297298298298298298298298298298298298298299298298298298298298298298299298298298298297298298298297298297298298298298297298298298297297297297297297297297297298298298298298298298298297297297298297297297297297297297297298297298298298298298298298298297297297297297297297297297297297297297297297297297297296296296296296296296296296296296296295296296296296296296297296297297296296297297297297297296297297297298297297296296296297297298298298298298298298298298298299298299298298298298298298298298298298298298298298298298298298297298297297297297297297296296296296296296296296296295296296296296296295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294293293293293293292292292292292291291291291291291291291291291291291291291290291291291291291291291291291291291291291291291291291290290290290290290290291290291291291291291290290291290290290289289289289289289289289289288288288288288288288288288288288288288288288288288288287287287287287288287287287288288287287287287287287287287287287287287287287287287287287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295295297298297297297298299300300299299299300300300300301300301301301301300301300300299298296295295296297298298299299299299299299299300300299300301301302303302302302302302303302302302302303303303303303303303304304305305305305305305306306306306306306306306306305306306306307307307307308308308308307307307308309309309309308308309309309309309308308309309309309309309308308308308309310310311311311311310310310309309308308999999999999999999999999999999999999999999999999999999307307307307307308308307306305305305305304302302301301301301301301302302303303303303303303303303303303303303303303303303303303303303304304302303303303303303303303303303303303303303303303303302303303303304303303302302302302301301300300301301300300301301300300300299298298298298298298298298298298298298297298298299299299298298299299299300300301301301301301301300300300300300300300300300300300300299298298298298298299299298299299299299299299299298298298298298298298298298299299299299299299299299298298299298299299299299299299298298298298298297298298298298298298298298298297298298298298298298298298298298298298298298298298298299298299299298298298298297297297297297296296296296297297297298298298298298297298298298298298298298298298298298298299298298298298298299298298298297298298299299299299298297298298298298298298297297297297297297297298298298299298298298298297297297298297297297297297298297298298297298298298297297298297297297298298297297297297297297297297297297297297297297296296296296296296296296296296296296296296296296296296296297297297296296296297296297297297297297297297297296296297297297297298298298298298298298298298299299299299298298299298298298298298298298298298298298298298298297297297298297297297297297297296296296296296295296296296296296296295296296295296295295294294294294294293294294294294294295295294294294294294294294294294294294294294294294294294294294294293293293293292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290291291290291290291291291290290290290290289289289289289289289289288288288288288288288288288288288288288288288288288288288287287288287287287287287287287287287287287287287287287287287286286286287287287287287287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294296297298298298299299300300299299299300298299299299300301301301301301301301300300300299297296296296298299299299299299299299299299300300300300301302302303302302302302302302301302302302303303303303303303303304305305305305305305305306306306306306306306306306306306306306307306307307307308308308308308308309310309309309309309309309309309308308308309309309309309309309309309310310310311311312311311311310310309308309308999999999999999999999999999999999999999999999999999306307307307306307307308307307306305306305304303303302302302300301301302302302303303303304304304303303303304304304303302303304304303302303303304303303303303303303303303303303303303303303303303303304304304303303303303302302302301301301301301300300300300300300300300299299298298298298298298298298298298298297298298298298298298299299299300300301301301301301301300301300299299300299300300300300300300299299298298298298299299298299298299299299299299299298298298298298298298299299298298299299299299298298299298299298299299299299299299298298298298298298298298298298297298298298298298298298298298298298297298298298298298298298298298298298298298298298298298297297297297297296296296296297297297297297297297297298298298298298298298298298298298298298298298298298298298298298298298298298299299298298299298297298297298298298297297298298297297297298298299299298298298298298298297297297297297297297297297297297297298298297297297297297297297297297297297297297297297297298297296297297297296296296296296296296296296296296296296295296296295296296296296296296297296296296296296296296296296297296297296296296296297298298298298298298298298298298298299298298298298298298298298298298298297298298298298298298298298297298297297297297297297296296296296296296296295295296296296296295295296296295295295295294294294294294294294294294294294295294294294294294294294295295295295295294295294294294294294294293293293293293293292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290291291290290290290290290290291290290291291290290290290289289289289289289289289289288288288288288288288288288288288288289289289288288288288288287287287288288288288288287287287287287287287287287287287286286286286287286286286287286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296297300299299299299299299300300299299299298299298300301301301301302302302302301301301300299297297298299300300300299298299299300300300300301300301302302303303303303302302302302301302303302302302302302303303303305305305306306305305306306306306306306306306306306306306307307307307307307308308308308309309309310310309309309309309310309309309309309309310309309310310310308309309310311310311311311312311310310310309308309999999999999999999999999999999999999999999999999999306306307307307308308307308308306306306305304304303302302302302301301302302302303304304304304305305305303305303303302303303303304303303303303304303304304304304304303303303303303303303303303303304304303304303303303303302302302302301302301301301301300301300300300299299299298298298298298298297297297297298297298297298298298298299299299299300301301302301301301300300300300300299300300300300300299300299299299298298298299298298298298298299299299299299298298298298299299299299299299299300299298298298298299299298299298299299299298299298297298298298298298298298298297297298297298297298297297298298298298298298298298298298298298298298298298298299298298298297297297297296296296296296296296297297297297297297298298298297297298298298298298298298298299298298298297297297298298298298298298299298298298298297297297297297298297298297298298298298297297298299298297298298297297297297297297297297297297297297297297297298298297297297297297297297298298297297297298297298298297297296297296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296297297297296296297298298298298298298298298298298298298298298299299298298298298298298298298297298298298298298298297297297297297297297297297297296296296295296296296296296295296296296295295295296295295295295294294294294294294295294295295295295295294294294294294294294294295295295295295294294294294294294293293293293293293293293292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290291291290290291290291291291291291290290290289289289289289289289289289289288288288288288288288288288288288288289289289288288288288288288288288288288288288287287287287287287287287287287287286286286286287287286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296299299299299299298300300299300299298298299300300301301302303302302302302302301301301300299299299300300301300299299300300300300301301301301301302303303303303303303303302301301302302302302302303303303303303304305305305305305306306305306306306306306305306306306306306306307307307308308308309309309309310310310310309309309310310309309310309310310310310310310310309309309310309311311311311311311311311311310309309307999999999999999999999999999999999999999999999999999999306308306307307308307307308307307306305305304303302302302302302302303302303302303304304305305305305305305305303303303304304303303303303304304305303303303303303303303303303303303303303304304304303303303303303304302302302302302302301301301301301301301301301300299299299299298298298298297298297297297297297298298297297297298298299299300300301301301301301300300300300300300299299300299299299299299299299299299298298298298298298298298298298298299298298299299299299299299299299299299299299298298298298299299299299299298298298298298298298298298297297298298298298297297297297297297297298297297297297297298298298298298298298298298298298298298298298298297297296296296296296296296296296296296297297297297297297297298297297298298298298298298298298299298298298298297297297297297297298298298298298298297297296296296297297297297297297298298297297297297297298297298297297297297297296297297297297297296297297298298298297297296297296297297297297297298298298298297298297297297297297297296297296296296296296296296296296296296296296296296296296296296296296296295295295296296296296296296296297297296297297298298298298298298299298298298299299298298298298298298298298298298298298298298298298298298298298297297297297297297297297297297296296296296296296295295296295296296296296296296295295295294294294294294294294295294294294295294294294294295294294294294294294294295295295294294294294294293293293293293293293293293292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290291290291291290290291291291290290290290290289289289289289289289289288288288288288288288288288288288288288289289289289288288288288288288288288288288287287287287287287287287287287287287286286286286286286286287286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294299299299299298300299299299299298298298300301301301302301302301301301302302302301301301301301301301301301299300300299300300301301301301301302302303303303303303302302301301302302302302302302303304303304304304305305305305306305305305305305306306306306306306306306308307307308308309309310310311310310311311310310309309310310310309309310309310310310310311310310309310309310310312312312312312311311310309309308306999999999999999999999999999999999999999999999999999999304306306307307308307308307307306305305304305303303302302302302303303303303303303304305305305305306305306305304305305306304304304303304304303304304303303303303303303303303303303303304304304303303303303303303303302302302303303302302301301301301301301301301300300300300299299298298298298297298298298298298298298298297298298298299299300300301301302301301301300300300299300300300300300300300299299299299299299299298298298298298298298298298298298298298298299299299299299299299299299299298298298298299299299299298298298298298298298298297298298298298298298297298297297298297297297297297298297297297298298298298297298298298298298298299298298298298298297297296296296296295296296296296296297297297296296297297297297297297297297298298298298298298298298298299298298298297297297298298297298298297297296296296297298297296297297297298298298297298297297298297298298297298298297297297297297298297297297298297298298297298297297297297297296298298298298298298297297297297297297297297297296296296296296296296296296296296296296296296295296297296296296296296296295295295296296296296296297297297297298298298298298298298298299298298298299299299298298298298298299299298298298298298298298298298298298298298297297297297297297297297297297296296296296296296296296296296296296296296296295295295295295294294294294294294295294294294294294295295294294294294294294294295295295295295294294294294293293293293293293293293293292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290290289289289289289289289288288288288288288288288288288289288288289289289289289288288288288288288287287287288287287287287287287287287287287286286286287286287286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298297298299298297299298299298297298299299300301301301301301301301302302302302302302302301302302302302302301300299299300299300301301302301301301302302302303303303302302301301301301302302302302303304304304304304304306305305306305305305306306306306305305306306306307307307308308308309310310311311311311311310310310310310310309310310310310310310311310311310310310310310311311310312313313312313312311310311310309307309999999999999999999999999999999999999999999999999999999305305306307308308307307307306305305305304304304303303303302303303303303303304304305305305305305306306305305306305303304303303303303303303303303302302302302301303303303303303304304303303303303302302303303303303303302302303302302302301301301301301300300300300300300299299299298299298298298298298298298298298298298298298298299299300300301301302302301301301300300300300300300300300299299299299299299298298298299298298298298297298298298297298298298299298299299299298298298298298298298298298298299299299298298299298298298298297297298298298298298298297297298297297297297297297297297297297298297298298297298298298298298298298298298298298298298297297297296296296296296295296296296296296296296296296297297297297297296297297298298298298298298298298298297298298297297297297298298298298298298298297296296297297296296297298298298298298298297297298298297298298297297298297297297297298297298298298297297298298298297297297297297297297297297297297298298297297296297297297297297296296296296296296296295295296296296296296296296296296296296295295295296296295295296296296296296296297297298298298298298298298299299299298299299299299299299299299299298298298298298298298298298298298298298298298298298298297297297297297297297297297297296296296295296296296296296296296296296296296295295295295295294294294294294294294295294294294295294294294294295294294294295295295295295295294294294294294293293293293293293292292292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290291290290290290290290290290290290290290290290290290289289289289289289289289289288288288288288288289288288289289288289289289289289288288288288288288288287287287287288287287287287287286286286286287287287286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297291296296297298298298297297298299299300301301301301302302302302302302303303303302302302303302302300300299299299299299300301300301301301301302302302302303303302302300300301301302302302302303304304304304304304305305305305305305306306306306305305305305306306307307308308309309310311311311311311311311311310310310310310310310310311310310310311311311311312310310311312312312313313314313312313312311311310309307999999999999999999999999999999999999999999999999999999999999303306307308307307307307306306305306305304304303304303303303304304303303304306305305306305305305306306305305304304303303303304303303303303303302302302302302303303303303304305304304303303303303302302303303303304304303303303302302301301301301301300300301300299300300299299299299299299299298298298298298298298298298298298299299300301301302302302301301301301301300301301300300300300299299299299299298298298299298297297296297297297297297298298298298298298298298298298298298298298298298299299299298298298298298298298297297297297298298298298297297297297297297297297298297297297297297298298298298298297298298297298298299298298298298298298298297297297296296295295296296296296296296296296296296296297297297297297297297297297298298298298298298298297297298297298298297296297297298298297298297296297296297297297297297297298298297297298298297298298298298298298297297297297297297297297298298298298298298298298298298298297297297297297297298297297297297297297297297297297297297296297296296296296296295296296296296296296296296296296296296296296296296296296296297297297297297297298298298298298298298299299299299298298299299299299299299299299298298298298298298298298298298298298298298298298298298298297297297297297297297297296296296296295296296296296296296296296296296295295295294295294295295294294294294294294294294294294294294294294294294294294294294295294295294294294294294294293293293293293292293293292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290291290290290290290290290290290290290290290289289289289289289289289289289289289288288288288288288288289289288289289289288288288288288288288288287287287287287287287287287287286286286286286286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294297298300298297296297299299300301301302302302302302302302302303303303303303303303302300300299299299299298299300300301301301301302302302303303303303303302301301302301302302302302303303303304304304304305305305305305306305306305305305304304306305306307307308309309309310311311311311312311311310310310310310310310310310310310312311310311311312312311311311312313312313313313313312312312312311309308305999999999999999999999999999999999999999999999999999999999999303305306306307307307307306307306306305304305304304304304304304303303303304305305305305305305305305305305305305304303303304304304304303303302302302302303302302303303303304304304304304303303302302302303302303304304304303303302302302302301301301301301301300300300300299299300300300300299299299298298298298298298298299299299299301301301302302302302301301301301301301300301301300300300300299299299298298298299298297297296297297297297297297298298297297298298298298298297297298298298298299299298298298298298298298298298297298297297298297297298298297297297297297297297297297297297297298298298298297298298298298298298298299298298298298298298298297297297296296296296296296296296296296296296296296296296297297297297297297297298298298298297297298297298298298298298298298297297297298297298297296296296297297297297297297297297297297298297298298299299299298298298297297298298297297297297298297298298298297297297298297297298297297297297297297297297297297297296297297297297297296296296296296296296296296296296296296296296296296296297296297296296296297297297297297298298298298298298298298299299299299299299299298299299300300299299299299299299298298298299298298298298298298298298298298298298298297297297297297297297297297297296296296296296296296296296296296296296296296295295295294294295295295295295294295294294294294294294294294294294294294294295294294294294294294294294293293293293293293293293292293292292292292292292292292291291291291291291291291291291291291291291291291291291291291291291292292292291291291291291290291290290290290290290290290290290290290290289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287287287287287286286286286286286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292296301299298297297297298299301301301302303302302303303303303303303303303303303303302300299299299299298299298298299300301301301302302302303303303302301301300299300302302303302302302303303303303304304305305305305306306306306305305304305305306305306306308309308309310310310311311311311311311310310310310311310310310310310311311311311311312313313312312311313312311311313312313313313313312311309306305999999999999999999999999999999999999999999999999999999999999999305305306306307307307306307306306306305305305305304304304304304304304304305305306305306305305305305305305304304303303303303303303303303302302302302302303303304304305304303303303303303302301302302303303303303304304304303302303302302301301301301301300300300300300300301300300300300300300299299299299299299299299299299300300301302302303303302302301301301300301301300301300300300300300299299299299299298299299298297297297297298297297297297297298298297297298297297297297298298298298299298298298298298298298298298298298298297297297297297297297297297297298297297298297297297298298297298298297297298298297298298298298298298298298298297298297297297297297296296296296294296295296296296296296296296296297297297297297296297297296297297297297297297297298298298298298298298298298299297297297296296296296297297297297297297297298297298296298298298297297298298298298298298298298297297296296296297298297297297298297298297297297298297297297297297297297297297297297297297297297297297296296296296296296296296296296296296296297296297297296297297297297297297297297297298298298298298298299298298299299299299299299299299300300300299299299299299299298298298298298298298298298298298298298298298298297297297297297297297297297297297297296296296296296296296296296296296296296296295295295295294295295295295294294295294294294294295294294294294294294294295295295294294294294294294294294293293293293293293293292293292292292292292292292292291291292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290289290290289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287287287287287286286286286286286286286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287288300302300298297297298299301302302303303303303303303303303304304303303303303303301300299299299298298298298298298298299301301302303301302302302302300300299299300301301302301303303303302303304304304304304305305305305306306305305305305306305305306307307308309309310310311311310310310310310311310310312310310310310310311311311311311311312312312312312312312312312313313313313313314314312311308306301999999999999999999999999999999999999999999999999999999999999303304305306307307307307306307307306305305305305305304304304304304304305305305306306306306306306305306304304304303303303303304304303303303302302302303302303305305304304304304303303303303303302301301302303303304303303303303303303302302302302301301300300300300300303300301300300300300300300300300299299300299300299300300300301301302303303303303302302301301301301301301301301301300301300300300299300299299299298298298298297297298297297297297297298298297298298297297297298298298298299298298298298298298298298298298298298298298298297297297296296296297297297297297297298298298298298297297297297297298297297298298298297298298298297297297297297297297297297296297296296296296296296296296296296296296296297297297296296296296296296297297297297297296297297298298298299298298298297298297296297297297297296296296296296296297297297297297298296297298297297297298298298297297297297297297297296297297297297297297298297297296297297297297297297297297297297297298297297297297296297297297297296296296296297296296296296296297297297296297297297297297297297297297297297298298298298298298298299299298299299299299299299299299300299299299299299299299299299299298299298298298298298297298298298298298298297297297297297297297297297297297297297297296296296296296297297296296296296296295295294294294295294295295294294294294294294294294294294294294294294294294294294294294294294294294294293293293293293293293293293293292292292292292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290291291290290290290289289290290289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287286286286286286286286286285286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296301301300298298298299301302303304304304304303304304304304303303303303303302300299298299299299298298298298298298299299301302302303301301301301300299299300300301301301301303302303303303304304304304304305306306306307306305306305305306305306306307307307309309309309309310309309310310311311311310312309310309309310311311310310310311313313312312311313312312312310313313314313313313311309308306305999999999999999999999999999999999999999999999999999999999999303304305306306307306306306306306306306306306305305305305304305305306305305305306306306306306306305305304304303303303303304303303303303303302302303303303303304305305304304303304303302302302302302301302301303303303303303303303303303303302302302301301301301301301302302302301300301301300300301301301301301300301300300302301302302303304303304303302302302302301301302302301301301301301300300300300300299299299299298298298297298298298297298298298298297297297297297298298298298298299299298298298298297297298298298298298298298298298297297297297297297297296297297297297298298297297297298298297297298298297297298298298297297297297297297297297297297297297297297296297296296296296296296296297297296296296297296297297296296296296296296297297297297296297297298298298298298298298297296297297298297297296296296296296296297297297297297297297296297298297296297297297297297297298298298297297297297298297297297298297297297297297297298297297297297297298297297297297297297297296297297297297297297297297297296296296297296296297296297297297297298298298297297298297297298298298298298298298298298298299299299299299299299300299299299299299299299299299299299298299299298298298298297298298298298298297297297297297297297297297297297297297297296296296296296296297296296296296295295295295295295295295294295294294294294294294294294294294294294294294294294294294294294294294294294294294293293293293293293293293293292292292292292292292292292292292292292291291291291291291291291291291291291291291291291290291291291291291291291291291291290290290290290290290290289289290290289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288287287287288288287287287287287287287286286286286286286286286286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298301301299297300302303303304304304304304304304304304304303303303302300299298298299299298298297298297297298298298300300302302301301301300299299300300300301301301301302303303303303304305305305305305306307307307306306305305305306305305306307307307308309308309310310310310309310311311310309312312310309310311310311310309310310311312312311312313314313312312312312313313313312310308307302999999999999999999999999999999999999999999999999999999999999999302304304305306306306306306306306306306307306305305305306305305305304304305304305306306306306305305305304304303304303303304303304303303303302302303304303303303304304304303303303303302302302303301301301302302303303303303303303303303302303303301301301301301301301302302301302302302301301301301301300301301301302301301302302303303303304304304303303302302302302302302302302301301301301301300300299299299299298299298298298297297297298298298298298299298298297297297298298298298298298298298298298298298298298298298298299298298298298298298298297297297297296297297297297297298297297297298298298298298298299298297298298297297297297297297297297297297297297296297297297297297297296296296296297297296296296296296295296296296296296296297298297297297297297298298298298298299299298299297297298298297297296296296295295296296296298296297297297297297297297296297297297297297297297298298298297298297297297297297297297296296297297296297297297298296297297297297296297297297297297297296297297296297297296297297296296296296296296296296297297298298298297297297297297297297298298298298298298298298298299299299299299299299299299299299299299299299299299299299299299298298298298298298297298298298298298297297297297297297296297297297298297297297296296296296296296297296296296296295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294293293293293293292292293293293293293292292293292292292292292292292292292292292291291291291291291291291291291291291290290290290290291291291291291291291291291290290290290290290290289289289290289289289289289289289289289289289289289289289288288288289289288288288288288288288288288288288288287287287287287287287287287287287286286286286286286286286286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298300299298299302303304304304305305304304304304304304303303302302299298298299299299299298298298298297298299298298299300300301301300299299299300300301300299301301303302302302304305305305306306306306306306306306306305306306306305305306306306307306307307309310311310310311310310310310310309311310310309310311311310309310311312312311311310311314313312312312311311310311312309307307303999999999999999999999999999999999999999999999999999999999999301301302304305305306306306306306306306306306306306306305306306305305304304305305306306306306305305305304305304305304304304304304304303303303303303304303304303304302303303303303302302301301302302302301302302302302303304304303304304303303303302302301301301301301298301302302302301301302302302301301301301302302302302303303303303303304304304303303303302302302302302301301301301301301300300300301301300300299299299299299299299298299299298298299299299298298298297298298298298298298298298297298298298298298298298298298298298298298297298298298298298297297296297297297297297297297297298297297297297298298297297296297297297297297297297297297296296296296296297297297297297296296296296296296296296297296296298296296295296296296296297297297297296297296297298299298299298298299299298299298298296297296297297297296295295296295296296296296296296296296297296296296296296296296296297296297297297297298297297296296296296296297297297297297297297296296295296296296296296296296296296296296296296296296297297297296296296296296296296296297297297297298297297296297297297297297297298298298298298298298299299299299300299299299299299299299299299298298298298298298298298298298298298298297297298297297298297297297297297297297297297297297298297297297296295295296296296296296296295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294294294294294294294293293293293293293293293293292292292292292292292292292292292292292292292291292291291291291291291291291291291291290290290290291291291291291290290290290290290290290290290289289289289289289289289289289289289289289289289289289288288289289289289289289289288288289289288288288288288288287287287287287287287287287287287287287286286286286286286286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296297297298301302304304305305305304304305304304303303302301300298298298299299299299299298297298297297298298297297297297298298298298299300300301301300299300301301302303303304304305305305305306306306306306305305305305306306305305306306306306306306307309310311312311310311310310309310309309309310310310310310310310310310311311312312311312313315313312310311310310310308309308307302999999999999999999999999999999999999999999999999999999999999301302302303304305305305305305305305305305306305305305305306306305305305306305306306305306305306305305306305305305305304304304304304304305304305304304303304304303303304304303303302302302302301302301302302302303302303303304304304304304303305302302300301301301302302302302302302302302302302302301301302302302302303303303303303304304304304304303303302302302302301301301302302301301301301301301301301301300300300300300299299299298299298299299299299299299299299299299298298298298298298298298298298298298298298298298298298298298298298298298298297298298297297298298298297297297297297297297297297297297297297297297297296296297297297296296297296296295296297297297297297297296296296296296296296296296296296295295295295295296295297297297297297297297296298298298298298298299299299299299298298296296298297297297296295295296296296296296296296296296296296296296296296296296295296295297297296295296296297297296296296296296296296296296297296296296295295295296295296296296295296296296296296296297297297297296296297297296296296295296296297297297297297297297297297297296297297297297297297298298298298298299299299299299299299299299299299299299298298298298298298298298298298297298297297298297297298298297297297297297297297297297297297297297297296296296296296296296296295295296296295295295295295295295295295295295295295294295294294294294294294294294294294294294294294294294294294293293293293293292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291291290290290290290291291291290290290290290290290290289289289290289289289289289289289289289289289289289289289289289289289288289289289289289289289289289288289289289288288288288288288287287287287287287287287287287287286286286286286286286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293294297300302304305305304304305305304304303303302301300298298298299299298299299299299299298298298298298297297298297298298299299300300301301301300299300301301302302303304305305305305305305306305305305305305305305305305305305306306305306305307306309308310311311309309310309310309309309309309310309309308308310310310312312312312313311312313312312311309310310309308309307307304999999999999999999999999999999999999999999999999999999999299301302302303304304305304304304305305305306305305305304305305305306305305306306306307307307306307307305306305305305304304304305304305304304304304304303305305305304305304304303303302302301301302301301301302301302303303303303303303303304304304302303303302301301302302302302302303303302302302302302302302302302302303303303304304304304304304304304303303302302301301301301302302302301301301301301301301301300300300300300300299299299299299299299299299300299299299299299299298299297299298298298298298298298298298298298298298298298298298298298298298298298298298298298297297297297297296296297296295297297297297297297296295297296296296296296296296296296297297297297297297297297296296296296296296296296296295296295295295296296296296296297297297297298297297298298299299299299299298298300298297297297297297297297296296296296296296296295296296296296297296296295295295295296295296295296296296296296297296296296296296296296295296296296296296295295296295295295295295295296296296296296296296297296297297296296297297296296296296296296297296297297297297297297297297297297297297296297297297297297298298299299299299299299299299299299299298299298298298298298298298298298298298298298298298298298298298298298298298298297297298298298298298298297297296296296296296296296296295295296296295295295295295295295295295294295294294294294294294294294294294294294294294294294294294294293293293293293293293292292292292292292292292292292292292292292292292292292292292292291291291291291291291290290290290290290290290290290290290290290290290290290289290290290290290290290290289289289289289289289289289289289289289289289289288288289289289289289289289289289289289289289289289288288288287287287287287287287287287287287287287287287286286287286287287286286287286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299294296299300302303304305305305305304303302302301300299298298298299299299298299299300299298297297297297297298298299298299299299300300300300300300300301301302302303303304305305305305305305306306305304304304304305305306305306305305305305306306307308309309310310309309310310310310309309309309309309309308309310310311310310311312312314313313313311311309310309309999307305306303999999999999999999999999999999999999999999999999999999999299301302302303303303304303303303304303304305304305305305303304304305305305305306307307306306307307307306306305305305304305305305304304305304304304304305305305304305305305304303302302302302302302301301301302302302302302303303304304304305304304304303303302302302302302302303303302302302302303303303303303304303304304304305305304304304305304305304303303303302302302302302301302303301301301301300301301301300301301301301300300300300299299300300300299299299299299299299299298299299298298297297298298298298298298298298298298298298298298298298298298298299299298298298297297297297297297296296296297296297296296297296295296296296297296297296296296296296297298297297297297297297296297296296296296296296296295295296295295296296297297297297297297298298297299299298299298299298298299299299299298298298298297296296297296295295296296296296296296296296296296296296296296296296296296296297297297296296297297296296297296296296295296295296295296296296296296296295295296296296296297296296296296296297297297297296297297297296296297297297297297297297297297297297297297297297297296297297297297297298298298298299299299299299299299299300299298298298298298298298298298298298298298298298298297297298298298298298298298298298297298297298298298298298297296296296296296296296296296296296296295295295295295295295295295295295294294295294294294294294294294294294294294294294294294294294293293293293293293292292292292292292292292292292292292292292292292292292292292292291291291291291291291291291291290290290290290290290290290290290290290291290289290290290290290290289289289289289289289289289289289289289289288288288289289288289289289289289289289289289289289289289288288288288288288288288288288288288287287287287287287287287287287287287287287287286287286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300294296301304304304304305304304303302301300299298298298298299299299299299299299299298297297296296297297298300299298299299300300300300300301301301301301302302303303304304304304305305304305305304304304303305305305305305305305306305306307307308309309309309310310311310309309309309309310310310310310310310310311311310310311313313314313314313312308308308309999999304307304304999999999999999999999999999999999999999999999999999999301302302302303303303303302304303304305305305305305307304304305304304305305305305306307307307307307307306305306306304306305305304304305305305304304304303304304304305305305304303302302302301301302302302301302302302303303303304305305305305304304304304303303302302302303303303303302302302302302302303303304304304303303305305305304305305305305305305304303302302302302302302302302302302302301302302302301301301302301301301301300300300300299300300300299299299299298298298299299298298299299298299298299299298298299299298299299299298298299299298298299299299299298298297298297297297297297296297296297297296296296296296296296295296297297297296296297296297297298298298298297297297297297296296296297296296296296295296296295295296296296296297298297298298299299299299300299299298299299299298298299299299298296295296297296296295295295296296296295296296296296296296296296296296296296296296296296297295296296296295295296296296296295295295295295296296296296296296296295296296296296296296296296296296297297297296297297297296296297297298297298297297297297297297297297297297297297296297297297297298298298298299299299299299299299299299298299298298298298298298298298298298298298298298298298298298298298298298298298298297298297298298298298298298297297296296296296296296296296296296296296296296295295295295295295295295295295295295294294294294294294294294294294294294294294294294293293293293293292292292292292292292292292292292292292292292292292292292291292292291291291291291291291291290290290290290289289290290290290290290290290290290289290290290290290290288289289289289289289289289289289289289289289288289289289289289288288289289289288289288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295299302303303303303303302301300300299298298298298299299299299299300300299299298298297296296296297297298298298299299300300301301301301301301300301301302302303303303304304305305305305304303303303304304304306305305306307306307306306306306306307308309309309309309309308308308308309310310310310310310310311310312313312313312313315313313310308307309310999999307305300300999999999999999999999999999999999999999999999999299299300302304303304305303303303304305304305305307307307307307304304304305305305306306306307308307307308308306306306306306306306305305305305305305304304304303304305305306306305303304303302303302302302302302302303303303304304304305306305305307305305305304304303303303302302303303302302302302303302302303303303303303304304306305305305305306305305305303304303302302302302302303302302302302301302302302302302302302301301301301301300300300300300299300299299299299299299298299299299298298298299298298298299299298298298299298299299299299299299299299299299299298298298298298298297297297297297296296297297297297296295296296296296296296297296296296296296297297297297298298298297297297297297297296296296296296295296295296296295295295295296297297298298298298299300300299300299299299299299299299298298298298298297296296296296296296296296297296296296295296296296296296296296295296296296296297297297296296297297296296296296297297296295296296296296296296297296297297297296297296296296296297296297297297297297296297297297297297296297297298297297297297297297297297297297297297297297297297297297297298298299299299298299299299299299299299299299299298298298298298298298298298298297298298298298298298299298298298298298298297298297297297298297298298297297297296296295296296296296296296296296296296295295295295295295295295295295295295295294294294294294294295294294294294294294294294294293293293293293293293292292292292292292293293292292292292292292292292292292292292291291291291291291291290290290290290289289289290290290290290290290289290289290290290290290290289289289289289289289289289289289288289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287287287287287287287287287287286286287286287287286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296296298300301301301301301300300300298298298298299299299299299300299298298298297296295295295295296297297298298298299300300300301301300301301300301301301302302302303304304304304304304304303304304303304306306305305306307306306305307307307308308307307308308309308307307308308309307308309308309309311311312312312311313313313313312311310308308309309310999999999307303999999999999999999999999999999999999999999301300298299297300303305309307306304303302304304304304304306306307308308305304304304305305306306307307309307306307307307307306305307306306305305306306306308305307306305305305305305306305304304304303303303302303302302303303303303303304305305306306306305306305305304304304303303303303303302302302303302302303303303302303303303303303304304304304305305306304304304304302302302302301303302302302302302302302302302302301301302301301301301301300300301301300300300300299298299299299299299299299299299299298299299299299299299299299299299299299299299299299299299299298298298298298298298298298297297298297298298297297297297297297296296297297297297297297297297297297297298297297297297298297297297297297296297297296296296296297297296296296295295296297297297298298298298298299299299300299300299300300299300298298297298298297296295296296297296296295296296295296296297296296296296297297297296296297297296296295295296296296296297296298296297296296296296296295297296298296296297297297297296297296296297296297297297297297297297297298297297297297297297298297297297297297297297297297298297297297297297297297297297297298298299298298299299299299299299298298298298298298298298297298298298298298298298298298298298298298298298298298298298298298298298297297297298297297296295295295295296296296296296296296296296296296295295295295295295295295295295295295295295295295295295295294294294294294294294294294293293293293293292292292292293292292292292292292292292292292292291291291291291291291291291291290290290290290290289289289289289289289290290289289289289289290289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287288287288288287287287287287287287287287287287287286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295299301301301301301300299299299298298298299299299300300300299298297296295295295295295295295297297298297298300300300300300299300300300300301301301301301301302303304303304303303302303303303303304305304304304304305305305305307306307307306307307307308307307307307309308308310312311308308308309309311312312312312312312313313312309310309308309311999999999999999999999999999999999999999999999999999999300302302302302303302303303308307306306303303303304303301307306306306306304305304304305306305306306306307308307307307307307307307305306306306306306307306307308305306305305306305306307307305304305303304304303303303303303303304304304304305305305305305306305309305304304304304303303303303303303303303303304303302302303303302303303304304304303305304305305304304304303303302302302301302302301301301301302304302302301302302301302301302301301300300300301301301300300300299299299299299300300299300299299299299298298298299299299299299300300299299299299299299299300298298299298298298298298298298297297298298298298297297298297297297297297297297296297297297297297297297297297297297297298297297297297298297296297297297296295296296296296296296295296296297298298298298299299299299300300300300301300299299298298299299299298298298297298297298296296297297296296296296296296296296296296296297298296296297296296296295295295297296296296296297296296296296296296296296296297297296296297297297296296297297296296297297297297298298298298298298298298297297298298298298298298298297297297297297297297297297297297296297297297298298298298298298298298299298299299298298298298298299298298298298298298298298298298298298298298298298298298298298298298298298298298297297297297297297296295295295295296296296296296296296296296296295295295295295295296295295295295295295295295294294294294294294294294293293294294294293293293293292292292292292292292292292292292292292292292291291291291291291291291291291291290290290290290290290290289289289289289289289289289289289289289289289289289289289289289288289288289289289289289289289289288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288288287287287287287287287287287287287287286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301297298301300301301301301300299299298298298298299299300300298297297296295295294295294294295296297297298299299300300300300299300299299300301301301301300301301302302303303303304303303303304303303303304303302303304304306305306306306307305305306306306306306305306306307306305308308308308306307307309310310310313312311311312312310309309309309310308310999999999999999999999999999999999999999999999999300300301300304301301302303304305306305304302302303303302305305305304305305304304304305306305305305306306307306306307306307307307307306306306306306306306306305306305305305306306307307307305306306305305305303304303303302303303304307305305304305306306306305306306306304304304305304303303303304304304304304303304303303303303303303304304304304304305304305304304304305303303303302302302302302302301301302302304302302302302302301301301301301301301300300300301301301300300299299299299299299300300300300299298298298298299299299299299300300300300300299299299299299299299299298298298298298299298298298298299298298298298298297297297297296296297296296297296297297296296297297297298297298298298298297298298298297297297297296296296297297296296296296296296298298298298298298298299300300299300300300300300299300299299299300299299299298298299298297297296297297296296296296296297297296296296297297295295296295296295295295296296296295296297296296297296296297297296297297296297297297297297297297296296296296296296297297297298297298298298298298297297297297298297298298297298298297297297297297297297297296297297297297297297297297298297298298298298298298298298298298298298298298298297298298298298297298298298298298298298298298298297297298298297297297297297296296296296296296295295295295295295296296296296295295295295295295295295295295295295295295295295294295294294294294294294294294294294294293294294293293292292292292292292292292292292292292292291292291291291291291291291291291290290290290290290290289289290290289289289289289289289289289289289289289289288289289288289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288288288287287288288287287287288288288288288288288288288288288288288288288287287287287287287287287287287287287287286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298300300300301301301301300300300299299299300301300299298297296296295295296296294295296296297298299299299300300300299299299299300300300300300300300300301301302302302303302301301302302302302302302302301301301301301302305306306305305304304305306305305305306306306306306306307308308306307307308311309311312311311310311312311310311310312310310309999999999999999999999999999999999999999999999999999299300300301298300299301300301304304302303304303302302301304304304303304306303305305305305304305304305305305306304306306306306306305306305305305305306306305307307306306306306306305305306306306305305305303304303304302303303304305305307303303303304305305305306305305304304305305304304304305304304304305304304304303303303303303303303304304304304304304304304304303303303302302302302302302302302301302302302302302302302302301302301301301301301300301301301301300300300300300299300299299300299299299299298298298298298299299299300300300300300300300299299299299299299299299299299299299299298298298299298298298298298297297297297296296296296296296296297296297297296296297297297298297298298298297297298298297297297297297297297297297296297296297297298298299298299299297298298299299299299299299299299299299299299299300300299299298298297297298298297297297296297296296296296296296295295295295295294295295295296295295296296295295296296295297296297296296295296296296296297297297296297296297295295295296296296297296296297297298298297297297297297296296297297297297297297297297297297297296296296296296296296296297297297297296297297297297297297298297297297297297297297297297298297297297297297297297298297297297298298298298297297297297297297297297297296297297297296296295295295295295295295295295296295295295295295295295295295295295295295295295295295294294294294294294294294294294294294294293293294293293292292292292292292292292292292292292291291291291291291291291291291291290290290290290290290290289289289290289289289289289289289289289289289289289289289289288288288289289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288287287288287287287287288288288288288288288288288288288288288288288288287287287287287287286287286287287286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297299300301301301301300300301300300300300300300299297296296296295296296295295295295296296297298299299298299299300300299299299299300300300300300300301301301301301300301301300301300300301301301301300301301301300301302303304303304304304304304304304304304307306306306306305305306306308307307307310309309311311310311311312313311311310310310309306999999999999999999999999999999999999999999999999999298300300301300300300301300302300302303303306303303303301303303304301305304304304303304304304304304304305305305305306305305305305305305305305305306306306305306306306305306306306306305306307306306305304304304304303303302303303307305306304306303304303304303305304304306305305305305305305304304304304304304304304304303304305303303303304304303303303303305304304303302302302302302302302301301301301302302301301302301301301301302301301300301300300301301301300301301300300300299298299299299298299298298298298297298299299299299299299299300300300299300298298299299299299299299298298298298298298298298298298298298297297296296296296296295295296296296296296296296296296297297297297297298297297298297297297297296297297297296296296296297297296296297297297297297298297297297296298297298298298299298299299299299299299299299300299299296296297299297296296296296296296296297296295296295295295295296294295295295296295296296296296295295296295294295296296295295295296296296296296296297297296295295296295296296296296296296296297297297298297297297297297297298297296297296297296296296297297297296296296296296296296297296296297297297297297297297297298297297297297297297297298298298297297297297297297297297297297297297297297297297297297297297297296296296296297296296296296295295295295295295295295296295296295295295295295295295295295295295295295295295295294294294294294294294294294293293293293293294294293293292292292292292292292292292291291291291291291291291291291291291291291290290290290290290290289289289289290289289289289289289289289289289289289289289289289289288288289289289289289289289289289289289289289289289289288288288288288288288288288288288288288288288287287287287287287287287287287288288288288288288288288287288288288288287287287287287287286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299300300300300300300301300300300300299298296296296296295295295294294295295296297297297298299299299299300299300299299300299299300300300300301300300300300300300301301301300300300300300300300300301300300300302302302302303303304304304303303304305306306305306307306306306306306307308307306307310310311310312311311312313312312311309308308306999999999999999999999999999999999999999999999999299301300300300300298299301301302302302301306304303302301301303304303303303301304303303305304305305304304306305307305305305303305305304305305304305305306305305306305305306306306305305305305306306305305305305304304302303302302302303304305307307303304303303303305305305305303305305305305304304304304303304304303303304303303303303303304304303303303303304304303304303303303302302302302302301302302302302302302302302301301301301301302301300300300300301301300301300300300299299299299299300300299299298298298298298298298297298298299299300300300299299300299300298299298299299299299298298298298298298298298298298297297297296296296295296296296296296296296297297297297297296297297297298298298298298297297297297297297297297296296296296296297296296296297296297296296296297297297296296297297298298298299299298298298299300300300298298297295297296297296295296296295296296297296295296296296294296296294294296295296295296297296295296296295295296295296295295295295295296295296296296295296296295295296296296296296296296297296297297297297297297297297297297296297297298296296297296296297296296296296296296296296297297297297297297298297297297297297297297296297297297297297298298298297297297297297297297297297297297297297297297296297297296296296296296296297297296296296295295295295295295295295295295295295295295295295295295295295295295295295295295295295295294294294294294294294294294294294293294294293293293292292292292292292292292292292292291291291291291291291291291291291290290290290290290290290289289289289289289289289289289289289289289289289289289289289288289288289288289289289289289289289289289289288288288289288288288288288288288288288288288288288288288288287287287287287287287287287287287288288287288288288288288288288288288287287287287287287287286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290296299298297299299300300299299298297296295296295295295295294294295295296296297297298298299299300300299299298299299299299298298299299299300300299300300300300300301301300300300300299300299299299300299299299301301302303303302302302302304304305306305305306306306306307306306307306307307307307307308310308310312311311312311311309309308307999999999999999999999999999999999999999999999999298300300300300299298300301301302302302303304302300299300303303308303303303304303303303303303304305305305306306305306306304305304306305305304304304305305305305306305305305305305306305305305305305305304305304304303304303304302301303304302304305304304304305304305306305304305304305305304304304304303304304304303303302302303303304303303303303303303303304304303303303303302303303302302302301302302302301301302302301302301302302301301301301301301300301302301301301300300300300299299299300300300299299298298297297298297297299298299299299300299299300300299300299299299299299298299299299298298299298298298298297298297297296296296296296296296296296297297297296296296296296297297298297298298298297297297297298297297297297296296296296296296296295297297297297296296297296297297296297297297297297298298299298298298298298300299299298297296296297297297297295295295295296295295295296296296295296296296296296296296295296296296296296295295295296295295296296296295295296296296296295295296296296296296297297296296297297297297297297297298297297297297297297296297297297296297297296297296296296296296296296296297297297297297297297298297297297297297297297297297297298298298298298298297297297297297297297297297297297297297297296296296296296296296296296296296296296296295295295295295295295295295295295295295295295295295295295295295295295295295295294294294295294294294294294294294294294294293293293293293293293292292292292292292292292291291291291291291291291291291290291290290290290290290290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288289289289289289289288288288288288288288288288288288288288288288288288288288287287287287287287287287288288288288288288288288288288288288287287287287287287287286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295298298296298298298299299298297296296296296295295295294294295295296296297297298299299299300300300300299300299299299299298298299298298299299298299299299299299300299299299299299299300299299298298298298299299299300302301301301301302303304306306306304305305305306306306307306306306306306306306306307306308311311311312311311310310308307999999999999999999999999999999999999999999999298303303300300300300301301300300302301302301301300300299304303304303304305303301303303303303304305308308308306306306305305305305306306306305306306304305305305306306306305305305304306306305304305305305305305305304303304304303304303303303303303304305305305305304306306305307306305306306304303304304304304304304303303303303303303303303303304303303303303303304303304302302303302302303302301302301302302302301302302302302301301301301301301301301301302303302302301301300300300300299300300300300299299298298298298299298298299299299299299300300299299299299299299299299299299299299299298299298298298298298298298297298297297297297297297297296296296296297296296297297297296297296297297297298298298298298297298297298297297297297296296296296296295295296297297296297296296296297297296295296296296297297298297298298298298298298298299298297297297296297297297296295295296296295296297296296296296296296296296296297297296295296296297296297295295296296296296296296296296296296296296296295296296296296297297297297296297297297297297298298298297297297297297297297296296297297297297296296297296296296296297297297297297298298298297297297297297297297297297297297297297297297297297297298297297297297297297297296297296296296296296296296296296296296296296296295296296295295295295295295295295294295295294295295295295295295295295295295295295295295295294294294294294294294294295295294294294294293293293293293293293292292292292292292292292292292291291291291291291291291290291290290290290290290290290290290289289289289289289289289289289289289289289290290290290289289289289289289289289289289289289289289289289289289289289289288288288288288288289288289288288288288288288288288288288288287287287287287287288288288288288288288288288288287287287287287287287286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297300298297297296296296297296296296296296295295295295295295296296297297297299299299300300300300299299299299299298299298299299298298298298299299299299299299300300300300299298299299299298298299298298298298298300298302302302301302303305305305305304304304305304304304305305305306305305305305305306308310311312311310309309309308306306305999999999999999999999999999999999999999999296301302301301301300300300300300300300300299300299301302302302303302302304302302301302302303304304306305307305305304303303304304305305305305305306305305305305305305305308305305305304305305304304305305304304304303303304304303302302303304304303303306304305305305305304304305307305305306304304304304303303303303303303303303303303303304303303303303303303303303304302303303302302302302301302302302302302302302302302302302302301301302301301301302302302303303303302302301302301300301300300300300300300299300299299299298298299300300300300299299299299299300300299300299299300299299300298298298299297298297298298298298298298298298297297297297297296296297296297297296297297297297296297297298298298298298298298297298297297297297297297297296295294296296297297297296296296296296295295296296296295296297298299298298299299298297298299298297297297297297298298296297296296296296296295296296295295295295294296297296297296296296297296296295295296296296296296296296295296296296296296296296296296296297297297297297296297297297296297297297297297297297297297297297297296297297297297297296296296296296296296297297297297297298297297297297297297297297297297296296296296297297297297297297297297297297297297296296296296296296296296296296296296296295295295295295295295295295295295294294294294294294295295295295295295295295295295295295295295295294295294294294294294294294295294295295294294294293293293293293293293293292292292292292292292292292292291291291291291291290291291291290290290290290290290290290290290290290290289289289289289289289290289289290290289289289289289289289289289289289289289289289289289289289289289289289288288288289288289288288288288288288288288288288288288288288287287287287287287288288288288288288287287287287287287287287287287286286286286286286286286285286286286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299297295296296296295295295296296296296296296296295295295296297297297297298298299300300300299300299298298298297297297298298298297297297298298299299299298299299300299298299299299299298297298298299300298299299301302306306302303304305305304304304304304304304304304305304305306306306305306305305306306308309311310310309307306305304304999999999999999999999999999999999999999999999298300303302301301300300300301301301300300298301298303300300302302302302302303302302302302305303303305304304303303303303304305305304304304305304304305304304304304304305306305305305304304304304304304304303302303303303304303303303303303303304304305306306304305304304304304306306305305303303303303303303303303303303303303303302303303303303303303303303302303303302303303302302302302301302303302302302302302302302301301301301301301301301301301302302303303303303303302302302300301301300300299300300299300299299299299299299299299299299299299299299299299300299299299299298299299299298299298299297298296298298298298298298298297297297297297297296296296296297296296296296296296296297297297298298298298297297297297297297296297297296296294999294295297296295296296295295295294294293295295295294295295297297297298297298297296298298298296296297297297298297296295296296295295295296297296295295295297295296297297297297297297296296295295295296296296295295295295295296296295295296296296296296296297297297297296296297297297297297296297296297297296296296297297296297296297296296297297296297296296296297297297297297297297297297297297297297297297297296296296296296297297297297297297297297297297297297296296296296296296296296296296296296296296296295295295294294294294294294294294294294294294295295295295295295295295295295295295295295295295295295295295294294294294295294295294294294294294293293293293293293293293292292292292292292292292291291291291291291291290290291291290290290290290290290290289289290290290290289289289289289290289289289289290290289289289289289289289289289289289289289289289289289289289289288288289288288289289289288289289289289288289289289289288288288288288288288287287287288288288288288288288287287287287287287287287287287287286286286286286286286286286285286285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295297298295296296295294294295296297295296296295295295295296296296297297298298298299298299299299299299299298297297297296297297297297297298297298298298298299298299299298298298298299299297297297298299298299299300301301302303302303303304304304303304304303304304304304303304305304305306306306306306308308309307309310309309308306306305305299999999999999999999999999999999999999999999298300299299299299300301300301302301301302301301301298300301304305305305304304301301303302304303303303302302303302302303303305306305303304305306305305304305305304305306308306305305305304304304304304304303303303303302302303303303302302303303304306305306305303303303304303303304304304304303302303304304303303303304303304303302302302304304303303303303303302302302302302302302302302303302302302302301301302302301301301301301301302301301301302302303302303303303303303302302302302301300300300300299300300299300299300298298299299299298298299298299300298299299299299298297298298298298298299298298298298298298298298298298298297297296297297297296297296296296297296296296296296296296296297297298297297297297297297297296296297296296294294295295295296295295295294295294294294294294294294294294294295296296296297297297297297298298297297296297297297298297297296296296297295295296297296296295296296296297297297297297297297295295296296296295295296295295295295296295296296297296296297296296297297297297297297297297297297297297297297297297297297296296297296297296297297297297297297297297297297297297297297298298297298298297298297298298297297297296296297297297297297297298297297297297297297297297297296296296296296296296296296296295295296295295295294294294294294294294294294294294294294294294294294295294295295295295295295295295295295295294294294294294294294294294294294294294294293293293293293293293292292292292292292292292292291291291291291291291291291291290290290290290290290290290290290289289289290290290290290290290290290290289289290290289290290289289289289289289289289289289289289289289289289289289289288288289289289289289289289289289289289289289289288288288288288288288288287287288288288288288288288288287287287287287287287287287287286286286285285286285286285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286295296295295295294294294296296296296295295295295295295296296296298297298298298299298299300300299299298297297296296296297297296297297297298298297298298298298298298298299299299299299298298297298299298299299300300301301301302302302303304304302303303303304304304304304304304304305305306305305305306308307310309308309308308308306304304298999999999999999999999999999999999999999999999300300999999300299303301302301300301302302300298299298301302305305305305304301302302303303302302302302303302302302302303305304304303304303304304305305305306305304305306306306305304305305305304304304304305304305303303303303303302302303303303303304306305303302304303304305304303305303304303304304304304304304305304303305304303304304304301302303301303303302301302303302302302302303302302302303302302302302301302302302302302302302302302302302302303303303303303303303303302302301301301301301301300299301299299299299299299299299299299299299299299298300299298298298299298299299299299299298298298298298298298298298298297298298298298297297297297297297297296296296296295296296297296296297297297297297296297297297297296297296296294295296296295295295294294294294294294294294295294295295295295296296296298298297297297298297298298298296297296296297297297297297297297297296296298297297297296296297297295297297296296296296296296296296296296295295295296296296296295297297297297297297297297297297297297297298297297297298298298298298297298297297297296296297297297297297297297298298297297297297297297297298298298297298298298298298297297297297296296296297297297297297297297297297297297297297297297296296296296296295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294294295295295295295295295294294294294294294294294294294294294294294294294294293293293293293293293293293292292292291292291291291291291291291291291291291290290290290290290291290290290290290290290290290290290290290290290290290289290290290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288288287287287288288288288288288288287287287287287287287287287286286286286285285285285285285285285286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294294294294293294295295295295294295294295295295295295296296296297297298298298298299299298299298297296296296296297297296296296297297296297298297297298298298298299299299299299298299299299298298298299299300301301301301301304302303304304303303303303304304304304304304305304305305306305305305305308306307308309307307307308306304303300999999999999999999999999999999999999999999999301300300999298303300299300301300301302299298298299299298299301302303306304303304302302302302302302301302302301302302304304304304304303303304304304304305305305304304306305305303304303305304304303303304304304304302303303303303301301301303303302302304304302302302304303303306303303304304303304305304303304303304304304304304304303304303302302302301302303303302302302302303302302302302303302302302302302302302302302302302302302303302302302303302303303303303303303303303303302301302302301301300299300298299299299299299299300299300300300300300299299300300299299298299299299299300300299299299299299299299298298298298298298298298297298297297297297297297296296296296295296296296296297297297297296296296297298297297297296296295294295295295295294294294294294295295294294295295297296293295295295295296296297297298297298298297298297296297297296298297296296297297297296297297297296297297297297297297296296298297297296296297296296295295295296295295296295295296297296297297297296297297297297297297297297297297297297297298298298298297297297297297296297296296297297297297297297297297297297297297297297297297297297298298298298298297297297297297296296296297297297297297297297297297297297297297296296296296296295295295295295295295294294295294294294294294293294294294294294294294294294294294294294294294294295295295295294294294294294294294294294294294294294294294294294294294293293293293293293293293293292292292292292292291291291291291291291291291291291290290290290290290290290290290291290290290290290290290290290290290290290290290289290290289289290289289289289289289289289290289289289289289289289289289288289289289289289289289289289289289289289289289288288288288288287287287287287287287288288288288288288287287287287287287287287286286286286286285285285286286285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291292293293293294295295295294294295295295295295296295295296296297297297298298298298298298297297296297296296296296296296295295296297297297297297297297297298298299299299298298299299300299298299298299299300300301302301297306303306304304304303303303303303304303303303304306305305306306305307305305306307307307306305306305304304304304303304999999302305304999999999999999999999999999299302999301303301298298300301301301299298299300299298301298301298303302304301303302302302301301301301301300302302304304305304304303303304305304305306305303304304306305305305304304304304303303304304303303303303303303303302301300301302302302303303302301302303304304303309305302303303304304305304304304304303305304304304304304303303303303302302302302301302302302301302303302302302302301302302302303302302302301302302301301302302303302303303303303303303303303302303303302302302301301301299299300299299301299300299299299299299300300300299300300299299299299299298299299299299300300300299299299299298298298298298298298297297297297297297297297297296296296296296296296295296296296297296296296296297296296297297296295295295294295295294294295294294294293294295295295295295294294294294294295295296296296296297297297297297298296296296296296298297297296297297297297295296297297296297296297297296295297296297296296297297296296295295294295295295295296295296297297297297297297297297297296297297298297297297297297298299299299298297297297297296297297297297297297298298298298298297297297297297297297298298298298298298298298298298298297297297297297296296297297297297297297297297297297297297296296296296295295295295295295295294294294294294294293294294293293293293294294294293294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294293293293293293293293293293292292292292292291292291291291291291291291291291291290290290290290290290290290290291290290290290290290290290290290290290290290290290290290290289289290289289289289289289289289289289289289289289289288289289288289289289289289289289289289289289289289289289288288288288288288288287287287287288288288288288288288287287287287287287287287286286286286286285285285286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292292293294295296296295295294295294295295295296295296296297297297298297298298298298297297296296295295296296296296295295295296296297297297298297298298298299299299299299299298300300299299298298297296298300300305299304302302303304304302303302303303303303303303303304303303305305305305306305304304304305304303304303303302303303304304305999999999306302299999999999999999999999297299300999303302300300295299302302300300298298298299300301300299299296302302302300303303302301301303301301301305302303304303304303304304304304305304303304304304304305305305306304304303303303303304303303303303303303303303303302302301303302302303303304302303304303306303304304303304304304305305305307305305305305305305304304304304303303303303303302302303302302303302302302301301303302302302302302303302302302302302303301302301300301302302304303304303304304303303304304304304304302302301300300300300300301300300300300299300300300300300300299300299299299299299299300300299300299300300301300300300299298298298298298298298298298298297297297297297296296296296296297295296296296296297297297296296297296296297297296296295295295294294294294294295295294294295295295295295296295295295295297297297296296296297295297298298297298297297296296297297296296297297297297297297296298296296295295296296296296296296296296296295296296296295294294295295295295296296296296297297297297297296297297297297298297297297297297297297298298298298297297297296297297297297297297297297298297298297297297297297297297297297298298298298298297297297297297297297297297296296296297297297296297297297297297297297296296296296295295295295294294294294294294294294293293293293294293293294294294293293293294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294293293293293293293293293293292292292292291291291291291291291291291291291293291291290290290290290290290290290290291290290290290290290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289290288289289289289289289289289289289289289289289289289289288288288288288288288288287287287288288288288288288287288287287287287286286286286285285285285285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289292292293295296297296295294295295295295295296296296297296297297298297297297298298298296296296296296297297296296295295296296296297297297298297297298297298298299299299298299299298300301303303302297298302303304305304304303302302303303301303302302304305304303303302303302303302302304305305303303303302303304303302303302303304305304304303299999999303301302302999999999999999999300300300299299299299299299298301304302300300301301302301303301297299299303299301299301301302302302301301301301302301302304304303302304306304304304303302303304304304305306305305304305303303303303302302302302302302302303303301302301301302301302301301303302304303303304304303304304304304305306306306308305305304304304305304304303304303303303304303303302302302301302302301302302303303302302302302302302302302302303302302303302302301301302303303302303303303304304304303304305304303302301301300300301300300300300301300300299300300300300300300300300300299299300300300300299300299299299299299300300300299298298298298298298298298298298298297297297296296296296296296295295296297296297298297296297297296297297297297296297295294294294294294294294295295296295296295295295296297295296295296297296296296296297297297297297298297298297296296296297297296296297297297296297297296297296296295294296296296295296296296296295295296295295294294295295296296296295296296296296297297297298297297297297297297298297297297297297297297297297297298297297297297297297297296296296297297297298297297297297297297297298297297298297297297297297297297297296297296296296296297297297296297296296297297296296296296296296295295295294294294294294294293293293293293293294294294293294293293294294293294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294294293293293293293293293293293292292292292291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290290290290290290290290290290290290290290290290290290289289289289289290289289289289289289289290289289289289289289289289289289289289289289289289289289289289288288288288288288287287287287287287288288287288288288287288287287287286286286286285285285285285285285285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288291292293295295296296295295296295294295295296295296296296296297297297297297296296296296296295295297296296296295295295296296296297297298298299298297298299299298297297299297299299302302302297301301302302303303304304304302301301302303301302303304304304303303304303302302302302304304304305301303302302304303301303302302303302303302303301301999999299299299999999999999999999999300299298298299299299299298300301300302302300300301301304301302300302302302302300301300301302302302301301301301301303305303303303303304305305304304303302303303304304304303304305305304303304303304301301301301301301301302303302300300301301301302300301303303302303304304303303303304304304305307306306306306306306306305304304304304304305304303303303303302302302301301301302302302302302303302302302302302301302301302302303302303302302301302302303302303302303303305304304303304303302303301300301301301300300299300300300300300301300300301300300300300300300300300300299300299300300300300300300300300300299298299299299298298298298299298298298297297297296296296296296296296297297296297297297297298297296296297297297297295295295295295294294295294294295296296296295295295296297294295297297296296297296296297297297298297297298298297297296296296296295295296296295296296296296295295294296294295295296295295296296296296296296295294294294294294295295295296296296296297297298298298298298297297297296298297297297297297297297297297297298297297297297297297297297296296297297297297297297297297298297297297297297297297297297297297297297297296297296296296296296297297297297296296296296296296296296295295295295295294294294294294293293293293293293293293294294294293293294294294294294294294294294294294294294294294294295295294294294294294294294294294294294294294294294294293293293293293293293293293293292292292291291291291291291291291291291291291292291291291291291291291291291290290290290290290290290291290290290290290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288288288288288288287287287287287287287287287287287287287287286286286286286285285285285285284284285285285284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287290292292294296296295295295296296294295295295295295295295295296297296296296296295295294295295295296294294294294295295296296297297297298298298297297297297298297296296297297297298297297301300300301301300302303303303299299300299301302301302304303303302302302301299302302302303303304304301299302301303303303302302301302301301300300301301301301300298298999999999999999999999999999296298299299299299299299298299300301299301301302304304303302303302302299300301299301302302302303302301302301306304306304304303303304303304304304303302303303304304305305304304304303302304304303303302301302301301302301301302301301302301302302302301302302303305304304304304304304304304305306306307307307307307306306305304304305304304303303303302303302302302301301301302302302302302303303303302302301302303303303302303303304302302302301303303302301302303303303304303304303304303303302300301301300301300301300300300300300300300300300300300301300300300301301300299300301300300300301301300301300300299299298298298299299298299298298297298297297297297296296296296296297297297297297297297296296297296296297297297296295295295295295294294295295295296296296295295296296296296296296296297296297297297296297297297298297297298298297297296296295295295296297296296296296296296295295295295295295295296296295296295296295295295296295295294295295295295296296296297297297298298298298298298298297297297297297297297298298298297297298298298297297297297297296296296296297297297297297297297297297297297297297297297298297297297297297297297297297297297296297296297297297297297297297296296297296296296295295295295294294294294294294293293293293294294293293293293294294294294294294294294294294294294294294294294294294295294294294294294294294294294293293293293294294294294293293293293293293293293292293293292292292291291291291291291291291291291291291292291291291291291290291291290290290290290290290290290290290290290290291290290290290290290290290290290289289289289289289289289289289289289289289289289289289290290289289289289289289289289289289289288288288288288288288287287287287287287286286287287287287287287287287287287286286286285286285285285285285285285285285285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999285292292295296296295295295295294295294293294294294294294295295295295295295295294294293292293294294294294293294295294295295296296297298298298298296297296297297296297296298296297297301300299300300301301302303303299299298299299298301301302303303303302302302301300302303303303303303302302301301300302301301302301301301299298297300301301300299296300999999999999999999999999999999298299300300299299299999999999999300299301302302301303302300299301298299299300301301302302302302302301301302302302304304304303304304305304305303302302303303304304305305304304304304304304303303303302303302301300301301300300301300302302302302302302303302302303304303303304304304305305306306307307307308307307307306306305305305304304304304303303303302302302301301301302302303303303303303303303303302303302304303304303304303303303301301302301303303303303303303304305304304304303303303303302302301300300301301300300300300300300300300301301301300301300300301300301301300300300300300300301300301300300299299298299299299299299298298298298297297297297296296297297296297297297297297297297296296297297297298297297296295296296296295295295296295295295296297297296296296295297296296296295296297297297297298297297298297297297298298297296296296296296297297297297299298297297296296296295296296295296296296296296296295295296297295294295295295296296296296297297298297298298299300298298298297297297297297297297297298298298298298298297298297297297296296296296296297297297297297297297297297297297297297297297297297297297296297296296296296296296296296296296296296296296296296296296296296295295295295294294294294294294294293293293293293293293293293293293293293293294294294294294294294294294294294294294294294295295294294294294293293293293293293293293293293293293293293293293293293293293292292292292292291291291291291291291291291291291291291291291291291291290290290290290290290290290289290290290289289290290290290290290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288289289289289289289289289289289289288288288288288288288287287287287287287287287287287287287287286287286286286286285285285285285285285285285285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286291292295297298296295296295295295294294294295295295295295295295294295294294293293294292292293293293292293294293294293294295296297297298298298296296296295295295296297296296296301300300299298298301301302301300298298299298299299299298299300301301301301301300299300301301301301301301301301301301301301301302301300299298298299299300300301301296999999999999999999999999999999999296297297297297298999999999999999999301300300300299300298300301300298299297298300301301301302302302301301302302302304305304303303304304303303303302302303303304304304304304304304303304304303302302303303303301300302302300300301300301301301301302304303302301303304302303304304304305305305305306306307307307307306307306305305304304304304303303303302301302301302301302302302303303303303303305303302302302302303303303304303303302302303302302303303302302303303304304305304304303303303302302302302302301301300301300301300300300300301300300300301300301301301301301301301301300300300300300300300300300299299298299299298299299299298298298297297297297297297297297296296296296296297297297297296297296298298297296296293294295296296295295296296296295296296297296296296296296296295295298296297297297296297297296297297297297298298297297296296296295295296297297297297298296295297296294295294295296296295295296296295295294297296295294295295295296296296296297297297297297298299298297297298298297296296297297297298298298298298297297297296297297296296296296296296296297297297297296296297296296296296296296296296296296296296296297296297297296297297297296296296296296296296296296296295295295295294294294294294294293293293293293293293292293293293293293293293293293293293293294294294294294294294294294294294294294294294294294293293293293293293293292293293293293293293292292292292293292292292292292291291291291291291291291291291291291291291291291291291291291290290290290290290290290289289290290289289290290290290290290290290290290290290290290290289290290290289290289290289289290289289289289289289289290289289289289289289289289289289289289289289289289289288288288288288288288287287287287287287287287287287287287287286286286286286285285285285285285285285285285286285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290292296297296296296296296295295294294295295295295295295295295295293293293294294292292293293293293293292293293293292294294295296296298299300299296297296295296294295295300302302301301301300299299300301301301301298298298299299299298298299300301300300300299300299300301302304301302302300301301299300301306301303299298296298298300300301303293999999999999999999999999999999999999294297298299999999999999999999999999302300300300300301301300303300300297301301302301301301302302302301303302303304304304304303302302303302302302302303303303303303303303303302303303303302302301302299302301300298300301299299300301300301301301301302303302301302302304304303304304305306307308307306307307306305307306306306306305304304303303303302302301301301302302302303302303303303304304303303303303302303302303303303303302302303304303302302302302304303304304304304304303302303302302302302302301302301301301300300300301300300301300301301301301302301302302301301301301300300300300300300300300299299299299299299299298298298298298297297297297297296296296296296295296295296296297297297297297297297297297297295296295296296295295296296296295296295296295296295296296296296294297296296297298297297297296296297297297297297297297296298296295295296296296296296297298295298296295295295295296295295295295295295296296295296295294294295295296296297297296296297297298298297298298297298297297297297296297296297298297298297297297297297296296296296296295296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296295295296295295295295295295294294294294294294294293293293293293293292292292293292292293293293292293293293293293293293293293293293293294294294294293294294294294294294294293293293293293292293292292293293293293293293293293292292293292292292292292292292292292291291292292291292292291291291291292291291291291291290290290290290290290290290290290290289290290290290290290290291290290290289290289289289290290290290290290289290290290290290290289289289289289289289289289289289289289289289289289289289289289289288288288288288288287287287287287287287287287287287287287286286286286286286285285285285285285285285286285285285285285284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290294296297297296296296297296295295294295295295294294294295294294293293293293293293292292293293292292291292292292293294297294296295297298298297297297297296294296299298295302298302300300300300300300300301302301302299299299300299298298298300300300300299299299301301301303301299300299299299298301302302302302302301299298299297299299301302300999999999999999999999999999999999999999999296299999999999999999999999999999301301999299308300302308304298999999300301301301301302301302302301302302304304304303302302302301302303302302302302302302302303303302302302302303303302301301300301300298299298300299300298301302303301300300301302301301301303302304303303303304305306307306306306306305307306306306306306305304304303303303302302301302302302302303302303303303303303304304304303303303302302303303303302303302303302303302302302302302303304304303303303303302302302302302302301301302301301300300300300301301300300300301301301301301302302301300301300301300301301300300299300300299299299299299298298298298298298297296296296296297297296296295295295296295296295296296296297296297297297296296296296296296294295295295295295296296296296296296295295295296295296296297297297298297297296296297297297297297297297297295296294295294295295295294294296295294297296297295294295295294294294294296296296296295295294294294295295296296297296296296297297298297297297297297297296296297296296296297298297297297298297296297296296296296296296296296296296296297296296296296296296296296296296295296296296296295296296296296296296296296296296296295295296295295294294295294294294294294294294293293293293293293292292292293293293293293293293293293293293293293293294293294294294294294293294294294294294294294294294293293293293293293293293292293293293293293293293293293292293293293292293292292292292292292292292292292292292292292292292292292291291291291290290290290290290290290290290290290290290290290290290290290290290290290290289290290290290290290290290290290290290290290290290290289289290289289289289289289289289289289289289289289289289289289288288288288288288287287287287287287287287287287287286286286286286286286285285285285285285285285285285286285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289294297297297297295296297297296295295294294294295294294294293292293292293292292292293293293293292293291291291292292293294294295298299296296296297300297294294295297298298300301301302300299301300301300302302301303298299299299299300298298299300300299299299299301301301301301300299299298298300302301302301301301301300299297299298298299299298299299293999999999999999999297297297299999999999999999999301300999999999999304304999999999999999302300298999999999302303302301302301302302301302301304304304304303302302302302302303301302301302301302302302302303302302302302302302300302303300300297297300300300299302302302301301301301302302302302302303303303303304306305306307307306305306306306306306307307306306305304304304303303302302302302302302303302303303303304303304305305304304303302302302302302302303303302303301302302301303303304304304303303302302302302302302302301301301302301301300300300301301301300301300301301301301301302301301301300301300300301301300300299299299299299299299298298298298298298298297297297297297297297296295295295295295295295295297296297296296297297297297297297296296295295295295295295295296296296296296296295296296298297296296297297298298298298298298297297297297297297297296296296296295295295295295296295295297296295295296295296294295295295294295296296297295296296295295295295296297297297297297297297298298298297297297298297297297297296297297297297297297298298297297297297296296296296296297296296296297297297296296296296296296296296296296296296296296296296296296296296296296296296296296296296295295295295294295294294294294294294294294293293293293293293293293293293293293293293293293293293293294294293294294294294294294294294294294294294294294294294294293293293293293293293292292292293293293292292293293293293293293293293292292292292292292292292292292292292292292292292292292291291291291291290290290290290290290290290289290290290290290290290290290291290290290290290290290290290289290290289289289289289290290290290290290290290290289289289289289289289289288288289289289289289289289289288288288288288288287287287287287287287286287287287286286286286286286286286286285285285285285285285285286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291294297297297297297298296297297297295295295295296295294295295294293293292292293293293293291292292292291292290291292293294295295295298298297300300299296299299295298298298298298300300300300300299299299300301301302299298299297299300298298299299299298299299299300299299300301300300299298296299301298301300300302301299299299299999999299300301299301297297999999999999298298298298300301300999999999999299299300999999999302306999999999999999999302298999999999301302302302302302302301301302302304303303302303303302303302301302302301301302302303303302302303303302302303302301300301300301298295298298299299298301303303302303301301301302303302302303302303305305306306307307307306307306306307306307307307306306306305305305304303303303303302302302304303303303303304304304305304304304304303303303303303302302303303302301302303302302303303303304303303302302303303302303302302302302301302301301301301301301301301301301302302302302303302302301301301301301300301300300300300299299299299299299299299299299298299299298298298298298296296295296295296296296296296297297296297297297297296296297297298296297296296296296295295295296297297296297296296296298298298297297298298299298298298298298297297298297298299297296296296296296295295295295296299296296298298294297295296294295294295295294296297295295296295296295296296296297297297297297298298298298298298297297298297296296297297298297297298298298298297297297297297297295296296297297296296296296296296296296296296297296296296296296296296296296296296296296296296296296296296296296295296295295295294294294294294294294294294293293293293293293293292293292293293292293293293293293293293293293293293293294294294294294294294294294293294294294294294294293293293292292292292292292292292293293292293293293293292293292292292292292292292292292292292292292292292292292292292292292292291291291290290290290290290289289289290290290290290290290290291291291291291290290290290290290289289289289289289289289290289290290290290290290290289289289289289289289289289289288288288289289289289289289289288288288288288288287287287287287286287287287286286286285286286286286285285286285286286285285285285285286285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290293296296297296297297297296296296295295295295295295295295294294294293292292293292293292292292292291290291291292294292295296295294296298295300300299296294296295299298296298296297297300300300298300299300302301301299298299298299299298299298300299299300299299299299299299300300300298299297297298302302299299304302302298298298299298299301302301301297298294999999299299299298298300301302300999999999300299298999999999999999999999303301300302301298999999999302302302303300302302302302301302302302303302303302301302302301302300300300301301302302302304302302302302302301301301301300301299298297299300299298300303303301300302301301300301301301301302303305305306305306307307306307306306306305305305305305305305305304304304304303302302302302302303304303303304304304304305305305305305304304303304304303303302302302302302303303302303303303303304303303303302303302302302302302302302302302302301302302302301301302302302301302302303302302301301301301301300301300300300300300299299299299299299299299299299299298298299299298298297297296297297296297297297297298298297298297296296296295295297298297297297296296295295296296297297297297297297296298298298297298297298298299298298298298298298297297298298298298297296296297298295296295297294297298298297295294296294295294294294294294294296294294294295295296295296295297297297297297297297298298298298298298298296296296296296296297297297298298298298297298297297297296296296296296296296296297296296296296296295296296296296296296296295295295296295296295296295296296296296296296295295295295295294295294294294294294294294294293293293293293293293292293293293293292292293292292293293293293293293293293294294294294294294294293293293293294294294294293293293292292292292292292292292292292293293293293293292293293292292292292292292292292292292292292292292292292292292292292292291291291291290290290290290290290290289290290290290290290290290290291291290291290290290290289289289289289289289289289289289289289290290289290290290290289289289289289289289289289289288288288289289289289289289288288288288288288288287287287287286287286286286286286286286286286286285285285285285285286285285286285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294287292296297297296297296295296296296295295295297296297296296295294293294293293292292291292293292291291290291293293293295295296294294295294295301302301296301296295295298298298299297296299298298298299299301301301295296299299299298298298298299300298298298298299299299300299301301301300298298298299300300301303305305304298297299299299297301299301300297298295297299299299297295295296301302301298999999999298298300999999999999999999302302304306305299999300302302302302303302302303303302302302303302302303302302302302302302303300300300300300301302302302302302302302301301302301301300300300300299297301300300301303303303301301301301299301301301301302302303304305305306306306306307306305306305305304305305304305304304304304304303301302302302301303303303303303304303304305305305304305305304304304304303303302302303302302302302302303303302303303303303303302302302301301302301302302302302302302302302302302302302302302302302302302302302301301301301301301300300300299300299299299299300300299299299299299299299299299299298298298297297296297298298297297296297297298297297296295294999295297297297297297296296296295296296296296298297297297296297298297298298297297298298298298298298298298296298299298296297298298296297297297295295296294296298295295295296296295295294294294295295294294294294294295295296295295296296297297297297297297298297297298298299298296296296297296297298297298298298298299298298298298296296296296296297297296296296296296296296296296296296296296296296296296296295295296296295296296296296296296295296295295295295294295295294294294294294294294294294294294293293293293293292292293293293292292292292293293293293293293293294294294294294294293293293293293293293293293293293293292292292292292292292292292292292292292293293292292293292292292292292292292292292292292292292292292292292292292292292291291291291291291290290290290290289290289289290290290290290290290290291291291291290290290290289289289289289289289289289289289289289289289290290290290290290289289289289289289289289289289288288288288289289289289288288288288288288288287287287287287287287286286286286286286286286286285285285285285285285285285286286285286285285285285286 999999304304303299298297306295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288293295298297296296296295295297296296296297296296296296296295296294293292291293292291290290291292293293292292293293294294295296294295294295301301297297301300296295298298298298298300296298298300299298298299301302301303298299299298298298298299298299298298299300299299300301300300298299299299299299298299299305305304301299300300299999999999999999999999295296298299299298297295999999999299301297999999300299298297296296999999999999999300302303303302302302304302303302303303302304303302303303302303303302302301302302302301301300301301301300301301302302300302302302301300301301301302300300300299300302301301304302301302302300300300300301300299301302303303304305305306306306306306306305306305304304304304304303303303304304303302303303303303303303304303304305305305305306305305305305305304304304304302302302302302303303302303303303303304304303303303303303302302302302302302302303302303303303302302302302303303302301302302302302300301301301301301300300301301300300300299299299299299300300300299299299297299299298298298298298297297298297297297297296297297297296297296294999296295295296297297298296297296297297297297298298298297296296297298298299298298298298298299299298299298298299299298298298297297297297296297296297297295295295296294294297299296296295296296296297294295295295294295295295295296296296297297297297298297296297298297297298298297296296297297297298298298297298298298298297298298297297297296296296296297296296296296296296295295296296296296295295296295296295295295295295295295295296295295295295295294294294294294294294295294294294294294294294294294294293293293293292292292292292292292292292292292292292293293293293293294294294294293293293293293293293294294294293293293292292292292292293292292292292292293293293293293293293292292292292292293292293293292292292292292292292292292292292292291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290289290290289289289289289290289289289290290290290290290290290289289289289289289289289289289289288288288289289289288288288288288288288288288287287287287287287287287286286286286286286286286285285285286286286286286286286286286286285285285285 303302301301298296296296300295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296289294296297297296296296295295297296296295296295297297297296296295295294293291293293290290290291292291292292292292293294294294295294296294296296297297298297295295299299299298298297295297300298296296298295299302302304301299299299299299298297298298298298298298299299299300300301300299299299298298299298299299299306305301302300300300297297999999999999999999999298299299299298296999999999299297296294999999296297296296297999999999999999300303302301301303304302306303304304303304304303304304303303302302302301301301301302300300300300300300301300301302302302302302302302300301300299301299300300299300300301301303300301300301302300302300301301300300301302303304305305304305306305305305305305304303304303304304304303303304304303303302303303304304303304303304303304306305306306305305305305304305304304303302302303302302303303303303304304303303303303303303303303302302302302302302303303304304303302303303303304304302302302301301301301301301301300299300300300300301300299299299299299299299299299298299299298298298299299298299298298298300298298298297297297297296296297297999999296296297298299297298297297297297298298296297297297297297296299297298299299298298298298299299298298298299299298299298298297297298297296296296295294293293294297294293295300297296295296297296296296296294295295296298297297296296296296297297297298296297297297298298298298297296297297297297298298298297298297299298298297297297297296296296296296296296296295296296296295296296296295295295295296296296295295295295295295295295295295294295295294294294295295294294294294294294294294294294294294293293294293293293293292292292292292292292292292292292292292293293293293293293293293294293293293293293293293293294293293292293293292292292292292292292292292292292293293293293293293293293293292293293293293292293292292292292292292292292292292291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290289289290290289290290289289290289290290290289289289289289289289289289289289288288288289289289289288288288288288287287287288288287287287286287287287286287286286286286286286286286286286286286286286286286287286286285285285285 302302301299297296294296295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289294296298298296296295296296296296296295295295296295297297296295294293294293293292291291291291291291291291291292293293294295295296298297296297297297298297295295294300300298299298298299300300300301301299301301302302303299299299299299299297298298298298299298300300299299300300300299300299299298298298298301297304304304303299301302301300999999999999999999999999297299298298298295999297296297295294999999294295296300301298999999999999999302304298301304305306305305304303303304303303303304304303302302301302300299300301300300300300300301301301302301302302302302301301301300299299299301299300299300300301301301301300300302304300300300300300300300300301304303304305304304305305306304303304304303304303303303303303303303303303302302303304304304304305305304305304305305306306305306306305305305304304303302302302301303303302303303304304303303303304303304303302301302302303303303303304304304304303303303304305304304303302302302301301301301301299299299300299299300300300299299299300299300299299298299298298297300299299298298298298299299298298298298297298298296297297297296297297297298298298298299298297297297297297297297297297297297298298298298298298298297298298299299299299299299299299298297297297297297297296297295295294294295295296293297297297297295296296297297298297296296297297296298298298296296296296298297298298297297298297297298298298298297297297297298298298298298298297297297297297297296297297296296296296296296297296296295296295296295296296295296295295295295295294294295295295294295295295294295295294295294295294294294294294295294294294294294293293293293293293293293293293292292292292292292292292292292292293293293293293293293293294293293293293293292293293293293293293293293293293293292292292292292292292292292292293293293293293293293293293293293293293293293293293293292292292292292292291292291291291291291290290290290290290290289289289289290290290290289290290290290290290290290290290289290289289289289289289289290290290290289290289290290290290289289289289289289289289289288288289288288289289289288288288288288287287287287287287287287287287287287286286286286286286286286286286286286286286286286286286286286286286286286285 999301301299296295293296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290295300298298297296296297296295295298295295294295296297296295295294293293292292291291291291292292291292292292294294295296297296297302298298298298299296297296295302302300300299297298300300301303301302300300302303303299298297300299299298298298298297298299300300299298299300300300299299300299299296297297300299301304304299299304305301299299300999999999999999999297999297299298294294295295296294295294293293293297300299298999999999999999302302303304305305305306305304304304304302302302303302303303302301301300299301303303301300300301302301302300301301302303302302303301301301300300301300300300300300301301302302302301300301302301301301300301300302301303304304303303304304304304303303303303304304303303304303303304303303303303303303305305304304304305305305305306305306306306306306305304305305304303303302303303303302302302302303303304303303303303303303302302303302303304304303304304304304303304304305305305304303303301301301301301300300300300300299299300300300299298299300300300300299299299299300299296298298298298298298298298299298298298297298298297297298298297297297297297298298298299299297296297297297297297297298298298299298298298298299299298298298299299299299299299299300299298297298297297298298298297295296294296296296295296296296297297298297296297297296296296296296297297298297296296296296297297297298298298297297298298297298299298297297298298298299298298298298298298297297297297297297297297297296296296296296296296296295295295295295295295295295295295295295295294294295295295295295295295296295294294295294294295294294294295294294294294293293293293293293293293292293292292292292292292292292292292292292292293293292292293293293293293293293292292293292292293293293293293293293293292292292292292292292292292292293292292293293293293293293293293293293293292292292293293292292292292292292292291291291291291291291290290290290290290289289289289289290290290290290290290290290290290290290290290290289289289289289289289289290290290290290290290290290289289289289289289289289289289289289289288288289289289288288288288287287287288288287287287287287286286286286286285286286286286286286286286287286286286286286286286286286285285286286 999300299297295296294293296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289292296298297297296296296295296297296297296295295296296295295295293292293293293292292292292292293293294293293295295295296298298297297297299299298299298296295295301303299300299298297299298299302301302299301296300301299300299299299298298299298298298299299299299299298298303301300299299300300300298301300300301300298302302302301301299298299300999999999999999999999999294295294292293294295294294294294293293292294999297297999999999999999999999304303304305306305305307307303306303301301302301301302301299298299299301299299299299299301301299299299301301302302302303303301300300300299299300300300300300300301301302301299302300300302300301302301301302302303305304302304306304304303303304303303303304302302302302302303304303303303304305305305305305305306305305306306306306306308307306306305305305304303303303303302301302302302301301302303303303303303303302302302303303303304304304304304304304304304305305305305304304303303302301300300300301300300299299300300300299299299298300300300299299299298299300299299298298298298298298298298297298298298297298298298298298297298298298298298298298298298298298297297297297298297297298298297298298299299298297299298298298299299299299298299298298298297298298297298298298298298296296296298297297295296296297297297297297297297296297297297296298297297299297295295295297297296296298298298297298299298298298298297297298298298299299299298297298298298297297297297297297297296296296297296296297297296295295295295295295295295295294294295294294294293294295294294294294295295295294295294295294294294294295294294294294294294294293293294293293293293293292292292292292292292292292292292292292293293292292292292293293294293293292292293292292292293293292292293293293292293293293293292292292292292292292292293292293293293293293293293293293292293292292292292292292292292292292291291291291291291290291290290290290290290290289289289289289290290290289290290290290290290290290290290290290289289289289290290289289290290290290290290290290290290289289289289289289289289289289289288288289289288288288287287287287287287287287288287287287286286286287287286286286285285286287287286286286286286286286286286286286286286286286 999300299298297296294293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290295298298299298296295295295295295296296296297297296295294293293293294295294294294293293294294294296295296296296296296298298298299298298299299298299298300300300302302302300299298296299298298301300301297297299299302304300299298299298298299298298300300300300300299298299302302300298298300301301301303300300300301301301300300300299300302301303999999999999999999999292293291292292291292294294293294293294293293296299299298297999999999999303999303303305306306303304306305303301301301301301301299299299299301301301298299299299299300299300301300301301301301302301302301300302300300300300300301300300300299300301301299299301301302303302302302302302301302303303302303305304303303303304304303303303303302303303303303304303303304305305305306305305305306306306306306306305306307306306306306305306305304304303302303300301301301301301302303303303302302302302302302302303303304304304304304304304303304304305305305303303303303302302301301301300300301300299299299299299299299299299299298298298297298298299298298296298298298298298298298298299298299298298299298298297297297297298298298298299298298297297297297297297298297297297297297298297298298297298298298297297298299299298298298298297298297298297297297298298298295296296296296297296295297294296297297298297297297297297297297296296297299295296297295296297297297296298298298297297298298298298297297297298298298299299299298298298298298298297298297297297297296296296296297297296296296296295296295295295295295295295295294295295294295294294294294295294295295295295295295295294294294294295294294294294294294294293294293293293293293293293292292292292292292292292292291292292293292292292292292293293293293293292292293293292292292293292293293293293293293293293293292292292292292292292292292292292292293293293293293293293293293292292292292292292292292292291291291291291291291290290290290290290290290290290289289289290289290289290290290290290290290290290290290290290290289290289290290289290290290290290290290290290290290289289289289289289289289288288288288288288288288288288287287287287287287287288288287287286286287286286286286287286286286286287287286286286286286286286286286286287286286286286 299300300298296296296293297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291295296297298297296296295297298295297297297298296297295295296296294295294294294294294296295295296297296298298297297297298299298298299298301300299299298298299300301301301301298298296298298298298299299299298300299302303303298298299298298298299298299298299301301300299300300302300298299301301301300301299299301300300301300298297298300303301302999999999999999999999291291290291291291293294294292292293293295293298300298299299299299297295302999302302303304304303302303305302302302301301301301300298300299299302302300300299299300301301301301300301302301302302302302301300300300300299300300301300300300300300300301301300301303302302302302301301302302302303302303303304304303303303303304302303302303302303303303304304304304304305306306306306306306306306306306306306305305307307306306305306304304303304303302301301300301301301301302302302303303303303302303303303303303304304304304304304304304304305305305304303303302302301301301301301301299301299299300300299299299298298299299299299299297298298299298298297297298298299298299299298298298298298298297298297297297297297296297297297298297297298298298298297297297297297297297297298298297299298298298298298297298297298298298298297297298297297297298297297298298296296296297296296296296297295297297298299298297298298297297296296296297297295296297297297296297297296297298298298297297297297297297297298298297298299298298298298298299299298298298298297297297297297297297297297297296296296296295295296296296295295295295295295295295294294295294295295295295295295294294295294294294294294294294294294294294294294294294294293293294293294293293292292292292292292292292292292292292293293292292292292293292293292292292292292293293293293293293292293293293293293293293292292292292292292292292292292292292292292292293292293293292292292292292292292291292292291291291291291291291290290291290290290290290290290290289289289289289289290290290290291290290290290290290290290290290290290290290290289290290290290290290290290290290289290289290289289289289289288288288288289288288288288288287287287287287287288288287287287286286286286286286286286286286286286286287286286286286286286286286286286286287286286286 299300299298295295296295298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296293293296297298297297296296296296295297297298296297297296295296296296296295295295295295295296296296297298298299298299298299298300300300299300301300300300298296300300299299300298298297297297299299301300300301297301304303301300299300299299299299298299299300302299301301301300299301299298300301300300302301301302297299300299298300299300299299298999999999999999999999289290291288290291291290292291292291292293296299298299300299300299299999999999301301301299301301303299301302301301301301301301300299300299299298302302299299300300300302301303302302303301302302301299300301301300301301301301301300301301302301300301299299301301301302301301301301302302302302302302303303301302302302302303302303302303304303303303304304304305304305306306306307306306306305305306306306305306306307306306305304304303304303303302302302301302301301301302302303303303303303303304304304303304304304304304305305304303304304304304304304303303302302302301301300299301299299297299301299299298298299298299299298298298299298298298299297297298298299298300299299299298298298298296298297297297296296296297297297297297297298298298297296296296296297297298297298298298298298298298298298298297298298298298298298298299298298298298297298298298297298298297296297296296296297297297298299297298298299297297297297297298297297297297297298297297297296298298298297297297298298298297298297298298298297298298299299299299299299298297297298298297297297297297297297297296296296296296296296296296295295296295295295295295295295295294295295295295294294294294294294293293293294294294294294294294294294294294294294294294293293293293293293292292292292292292292291292292292292292292292292293293293292292292292292293293293293292292292293292292293293293293292292292292292292292292292292292292292292292292292292293293293292292292292292292292291291291291291291291291290290290290290290290290290290290289289289289289289290290290290290291290290290290290290290290290289290290290290289290290290290290290290290290290290290289289289289289289289289289288289289288288288288288287287287287287287288287287287287286286286286286286286286287286286286286286286286286286286286286286286286286287287287287 298298297297296296295296294999298299298999999999297297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294295289294295296298300298295296296297297297298297298298298297297296297298297297297297298296296296297297298298298298298298300298301300301298299299301301301299298297297295295297298298298297297299298299300299299299298299300299300299299298298299298299300299299301299301300301301301301296298298300301300301300304302301298297298299298297300297296300298297999999999999999999289288289289290290290289290290291290293292297299303301300299297299299296999999298295291298300300298299294300301301302302301300299299302301301299298298299300300300301301302302302302301301301301301301300300300300300300301299300300300299301302301301301299301301301300301300301301302301302302302301303302302303302301302302302302302302302303303304304303305305305305305306306306307306306306306306306306306306306306306306304304303302302302302301302302302302303301300301302303303302302302303303303303303303303303304304304304304303303304304304304304303303302302302301301300300301299298299299299298297297297298298300299299299298297298299299298297297297297298299298299299299299298297298298296296296296297297297297296296299298297297298298298296297296296297297298298298298297297298298298298298298298298299298298298298298299299299298298298298298298298298297298299296297297297298298296297297297298298298298298298298297297297296295295298298297296296297298297298297297297297298297297298298297297298297298298298299298298298298297297297297298298297297297297297297297296296296296295296298296296296296295296296295296295295295295295295295294295294294294294294294293293294294294294294294294294294294294294294294294294294293293293294293293293292292292292292292292293292292292292292292292293292292293293292292293293293292293292292292292292292292293293292292292292292292292292293293292293292292292292292292292292292292292291292292292292291291291291291291291291291290290290290290290290290290290290289289289289290290290290290290290290290290290290290290290290290290290290289290290290289290290290290290290290290290290289289289289289289289289289289288288288288288288288287287287287287287287287287286287286286286286286286286286286286286287286286286286286286286286286286286287287287287287 296298299298295295294296296293296296293296297295295296294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302295291294295296298299300297297297297297297297297297297298299297298298297297297296297296297297298297299299298298298298294298299299299298299299298299302297297295297297296296297297298297297297297298300300301300301299298302299299299298300300299300300300300299300297297301300299302299298299300301298300297298298299302301298299298298296296300296297296296999999999999999999288290290289289999290289291290290292291294298299297298298299301999298297293999296292298299300301302302296999301301302302303301301302302302299298299301299300300300301301302302302303302303302301303301301299299300300299299299299301301301301302302302302301301300301300301299300301301301302301301301302302302302302302301303302301302303304304304304304304305304305305305305306306306306306306307307307307307307306306306306305304303303303302302302301302301302302300301302302303302302302301302303303302303303303304304303304303304304304303304303304303303302301301300300299300299300299298299300299299296298299299299299300298298298298298298298298298298298298297299298298299299298298297297297296296296296296296296297296297297297296299297297297295297297296297297299299298297298297297298298298298298298298299299298298298299299299299298298298298298298299298298299297298297297296297297298298297297298297298298298299298297297297296297297297298297296296297296297296297297298298298298298298298297297297297297298298298298298298298297297297297298297297297297297298297297297297296296296296297296295296295295296296296295295295295296295295295295294294294294294294294294293294294294294294294294294294294294293293293293293293293293293293293293293293293293292292292292292293293292292293293292293293293292293292292293293293292292292292292292292292292292292292292292292292292293293293293293292292292292292292292292292292292292292292292292292291291291292291291290291291290290290290290290290290290290290289289289289290290290290290290290290290290290290290290290290290290290290290290290290289290290290290290290290290290290290290289289289289289289289289288288288288288288287287287287287287287287287287286286286286286285286286286287286286287286286286286286286286286286286286286286286287287287 294296296297297295294293293293293292292292293294295295297301302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292293294294297298298299298298298297296297297298298299299299298298298300299298298298297299300299300300299298301298298299300301301299303298298300299300297297295296297296298297299298297297296297297299301300301301302298298299299299299297301299300300301300300298298297298299299302300298298302300300300297297297300301302299299299297296300300296296296296296999999999999296291290289288289999290293292290999292294294295297297297999999301299999297293289292290999999999999999999999999999999302304303301302302302299305300299301302301302301301302302303302303302302303302303302301299300300299299300299299299300300301301301302301300301301302301300299301301302302301301301301302302303302302302302302303302302304305305304304303304304304305305306305306306306306304304305306307307307306306306306306305304304302303302302302301300302302300300302301302302302302302301302302302302302302303303303304304303303303303303303302302302302302301301301301300300300299300300300300299300298298298299299300300299298298297298298299297298299298298298297298298298298297296297296295294295295295295296296297296296296296298298298297296296295296297297299298298298298297297297298298299298298298297298299298298299299299299299299298298299299299298299299298299298299298297297297297297297298298298298298299299299298298297297297297297297297296297297297297296297297298298297297297297298298297298298297298297297298298298298297297297297298297297297297298297297297297298296297296297296295296296296295295296295295295296296296295294295295294294294294294294294294294293294294294294294294294294294293293293293293293294293293293293293293293293293293293293293293293293293292293293293293293292293293293293293293293292292292293292291292291292292292292292292293293292293293293293293293293293293293292292292292292292292292292292292292292291291291292291291291291291290290290290290291291290290290290290289289289290290289289290290290290290291290290290290290290290290290290290290290290290290290290290290290290290290290290290290289289289289289289288288288288288288287287287287287287287288286286286286286286286286286286286286286286286286287286286286286286286285286286286286286286286287287 295295297295295294295296294292292291292292293292294296298300300296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296289290293294295295295297298297296295297299299299299299300300300301300301300299299299299299299299300300300301300299301301301299300302300300299298299299300298298297299298299295298297297296300298300300301301301301301298300301301298299302302301300301300299300299298297299300298300300299301303301299297298298299302299303296297297295296297295294296296294294293999999999290290290289288999999290292290290999999296296299297297298999999999300299294293290289291999999999999999999999999999999302304303303302302299299304300301300301301301303303302302303303302302303303302303300299298298299298298298299299299300299300301302302301300303303302300300301301301301301301302301301303302302302302302303302301302303304304305304304304305304304304305305305305305305304304305305305306307306306306306306306305305305304303302303302301301301301301301302301302302302302302302302302301302301302302303302303303303303302303302302302302302302302301301302300299299299299299301301300298301299300299298298299299298297299297298299299298297298296297297296298298298298297296296296295295295295295296297297297297297298297296298297297296296296295295297300299298299299298297298298298299299299299299299299298299299299300299299299299299299299298298298298298299299299298298298297298297298299299299299299299299299298298298298298298296297297297297297296297297297297298298298298298298298298298298298298297297298297298298298298297298297297297297297297298297297297297298297296295296296296296295296295295296295295296295295295296295295294294294294294294294294294294294294294294294294294294294294293293293293292293294293293293293293293293293293293293293293293293293293293292293292293292292292293292293293292292293292293293293293292292291292292292292293293293293293293293293294293293293293292293292292292292292293293292291293292291292291291291291291291291291291291291290290291290290290290291290290290290290290289289290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290290289289289290290289289288288287287287287287287287287287287287287286286286286286286285286285286286286286286286286286286287286286286285285286286286286286286287287 296296296293293295297296293292291290292293292293294294296298297298296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290290291292293293293295293295296297298297298299299300299301301300299299299300300300300300300300300301300301301301301300299300302302301299298299301299299299299298298299299297298299300299297299300300300300301301301298300301300300301301302302300302301301299299300300299299305301305299302302302300300297300296296298300298999291294297295293294295294293291291999999293291292291290293289293292293291291292291295297300298296999999999999999296293292292291294297999999999999999999999999999999301302302300300299300298299300300300300299300302302301302302303303303301301302300299299298298298299300299299299299300300301301301302301304304301300300301300301301302302302302302302302302302302303303304303303303303305305305304304303303304304305305305305305305305305306305305306306306306307306306306306305305304304303303302301302301301301301302302302301302302302302302301301301301302302302302302303303302303303302301302301301301302301302301299301300299298298300303301301298298299298296297300299298297299299298299298297297298297297298296297297297297297296296296297297295297296299298299297297296296296298297296296296296296296298298301299298297298298297298300299299299299299299300299299299299299299299299298299299299298297298298298300298298298299298298298298298298298299299299299300299299298298297297298298297297297298297297297297297297298298298298298298298298298298298299298298299299298298298298298297298297297297297297298298298297297297297297296296297296296296296296296295296297296296296295295295295294294294294294293294294294294294294294294294294294294294294294294293293294294293294294294294293293293292292293293293293293293294293293293293293293293292292293293293293293293292293293293293292292292292292292292292293293292293293293293293293293293293293293293292292292292292291292292291292292292291292292291291291291291291291291291291291291291291290290290290290290290290290290289289290290290291290290290290290290290290290290290290290290290291290290290290290290291290290290290291290290290290290290289289289288288288287288287287287287287287288287287286287287287286286286285285286286286286287286286286286286286286286286286285286286286286287287287 295297295296294294295294295293293292292293292294294295296295297294295301296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286289291293291291294296295295296297298297297299299299299300300300300299300301300301299299300299300300300302302301302301301299300302302302302298301301301299298299299299297297298298298296296299300300300301302301303299300297301300299301301301301300300300301300300300299305304304304303303303303301299296296298298299299295999999295296295295294292292291293289291292292291292290289289289290291292292292292291294296300302296999999303299999999999291292290291296999999999999999999999999999999999300300300301299301300297299300297299299301300301301301302304304303303301301299300300299300300299298299299299300301301302300301303303304304301302302301302302302303303303303303303304304302303304303304304303303304304304305304304303303304304304304304304304303304304304304304305306305305305305305305305305305304304304302302302302301301301302302302301301302302302301302301301301301301302302302302303303303302302301302301301301301301301301301299300300300297297297300302302301299298298298296299297299300300297298299299299298298298297297297298298299300297298298298298300299298297299299299298297297297295298297297297297296296297297298299298298298298298297299298298299299298300298299300299299299300300299299299300299300298298298299298298299298298298298298298299299299299299298299299299299298299298298298298298297298298298298298298298298298297298298298298298298298298298297298297298299299299299299299298298298298298297297297298299298297297297297297296296296296296296296296296296296296296296296295295295295294295294293293293293293294293294294294294294294294294294294294294293294294294294294294294293293293293292292293293293293293293293293293293293292293293293292292293293293293292293293293293293293292292292293292293293293292292293293293293293293293293293293293293292292292292291291291291291292292291291291291290290290291291291291291291291291291291291291291290290290290290290290289290289290290290290290290290290290290290290290290290290290290290291290290290290290291290291290291290291290290290289290289290290289289288288288288287288288288287287288288287287286287287287286286286286286286286286286286286286286286286286286286286286286286286287287287287 295294294295296294293293294292293293293292293293293294294295296295294999292295288999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287285288292290291294295297295296294296298297297299299299299300300300300300301301300301301300300300301302302302302302301303302300301301302306304300301300302301298299300299297298300299298297296299300300300299298302301298300299296298299301300301301299301300300301299300302300302305304305302302301298297296299298294298299296294999999999295294293291291292292295294289291290291290291288289291293293293293293293295296302297294999300301298999999999999289290293296296296999999999999999999999999999300299300300300300299298296299298299300299300300301301303301301301303302300300299301301301300300299300300300301302302300300300300301304304300303301303303302303302304304305302302302302302303303304303303303303303304303303303304303302303303303304303303302302303303303303303303304305305304305304304303304303303304303302302302301301301302302302302301301302301301302301301301301301301302302302302302302302302300301301300300301301300301300300299298298298299296296296296299299296298299296295298298299300301297296298298299299299296298297297299299298298299298298298298299296299297298299298297297297297296295296297297297297296297298298299297297297297298298298298298297298298298298300299299299299300300299300299300302303299299300299299298298299298298298298299299299298299298298298299299298298298297298297297298298297298298298298298298298298297297297297298298298298297297297298298298299298299299299298298298298297297297297297297297296296296296296296296296296295296296296296295295296295296296296295296295294294294294293293293293294293293294294294294294294294294294294294294294293294294293294294293293293293293292292293293293293293293293293293293294294293293293293293293294294294293294293293293294293292292292292293293293293293293292292293293293292293293293293293292293292292292292292292291291291293291291291291290291291291291291291291291291291291291291291291291291291291290291290290290289290290290290290290290290290290290290290290291291290291290290291291291291290291291291291290291291290290290290290290290290289289289288288288287288288287288288288288287287287287287287286287286286286286286286286286286286286286286286286286286286286286286286287287287 295294294295296295295294295295293293293291293293293295294295294295292299297297292290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287286289292293294295294297298297297299300298298299299300300300301301301301301301300301301301301300301302303301302302303303302301301303302303302301301303302299302299301299298301302300299300299299300299299301299298300301300299299299297300299299298300301301302302301301306299303307305303303304302301298299300299298294295295295302298298295294294292292293289291291294293291290292292291291293294295295295294294294297299296295299301301299300999999999289294296295298299294999999999999999999999301300299300299299299299298298298299299299301300300300301301302301302304302301300299298300300300300300301301301301302300300301301301301303303302301303302303304303304304305304303303302302303303304304303302303303302303303303303303303302302303303304303302302302302302302302303302303303304304303304303303304303303303303303301301300300301302301302302302301301301301301301299301301300301302302302303302302301301300300300299299299299299299299299298297299298298298296296295299300294296297298297297297298299298297297298298298298298299297298299298297298297297297297297296296298297298299298298296297297297297296295297297297298297298299298297299298298298298298298299297298297297298298300300300299299300300300300299299301300300300300299299298298298299298299299301298298299299299299299299298298299298298298297298297297298298298298298298298298298298298298298298298298298298297298297298298299299299299299298298298298298298297296297296297296296296297296297296296296295296296296296296295295295296296296296296295295295294294293293293294294293293294294295295294295295295294295295295294294294294294295294294293293293293292292293293293293293294293293293293293293293293293293294294294294294293294293293293293293292292293293292293294294293293292293293293293293293294293293293292293293292292292293292292292292292291291291291291291292291291291291291291292291291291291291291291291291291291291291291290290291290289290291290290290291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290290290289289289288289288287288288288287288288288287287287288288287288287287287286286286286286286286286286286286286286286286286286286286286287287288 294294293294293295295295295295295293293290291293293295294294296296297298296293293289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289288292294294295295296298299298299299300300300300300300300300301301301301301300301302301300300300300302302303302303304303302304304306303300300302300299302300300299300299300304301298300299299299300301300301300301301300298296298299299299299296299300300301301300301300305298306307305304304307305300296298299297294296294293999295295290295294293293293293293294295295294295291292291291999294295294294296294296296297297296298299298299300298296294999292295296294297301297296999999999999999999304300299301300299300299298299298299299300301301301300301302302300301301301302301301300300301301301301301303301301300300301301300300300301301303303302304304303303302304304303303303303303303305305304303302302303304303303303303303303302302302302303303302302302302302302303303303303303303303303303302302304303303303303302302301301300301301301301301301301300301300301301300300300300301301301303302301301301299299300299298298297298298299299299299298298298297297296295297296297297297297296296297298298298299299298298298298299299298298299298298297297298297296295296296296297296297297297296296297297298297297298296297298299298297298298297298297297299297297298299298299299297298298300299300299299300300300303303301300300301300300299299299298300299299299299298299299299299299299299298299298298298299298298298298298298298298299299298298299298298298298298298298298298298297298298298299299299298299299299298298298298298297297297297297296297296297296297297296296296296296296295295295295297295296295295296295295295295294294294294294294295294294294295295295296296295295295295295295294294294294294295295294294294293292292293294293294294294294293294293294294294293294293294294294294294294294293293293293293293293293293292295293293293292293293293293293293293293293293293293294293292292292292293293292292292292291291291291291291291291291291292292292292292292292292291291292292292291291291290290290291290290290291291290290291291291291291291291291291291291290291291291291291291291291291291291291291290290290290290290290290289289289288288288288288288288288288288288288288288288288288288287287286286286287287287286286286286286286286286286286286286286286287287287 294293294295294295295295294292295294292291293292295293293290294297295297296294293291293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286291295297297297297297299300300300300300300299300301300301301301302301302302300301302301300301301301301302303303301303304304305304301302302302300299297301299299299299299298299301304304299299299299297301300304300300299299296297299299298298298298297297300299299300303303304305305304300298299303299296298298299293295289292999297293291295294294294294294296297295295295295295293293294296999999999298299298297297300300298298298299300301300297295294293295298294296304297297300297999999999999303302301302301300299299299300300300300300302302301301301302302301302302301302301301302301302302302303303303300301300301302300301302301302301302302303302303305303303304304304304304304304304304304304303303302303304302303303303303303303303303303303303302302302302302303303302303303303303303303303303304303303303303303303302301301301301300301300301300302301300300300301301300301300300301302301301300300300299299299300298298298298299299297298298297299298299297294295297297298298297296297297297298298299298298298298299300300299299299299299298299298298297297297296298297298298298298296297297297297298298298297297298298298297297298299297298296296300299298298302298299299300299298300300300300299300301300303302300299300300300301300300300299299298300300299298299299299299299299299299299298298298298299298298299299299299298298299298299299299298299298298298298299299298298298298298299299300299299299299299299298299298298297297297297297297296297297297297296296296296296298295295295295295296296296296295297295295295295295295294295295295294295294295296296296296296295296295295295295295295295295295295294295294293293294294294293294294294294293293294294295294294294294294294294293293293293293293293292293293293293294294293293293293293293293293293293293293294293293293293294294292293293293294293293292291291291292292291291292291291291292292292292292292292292292292292292292292292292291291290291290291291291291291291291291291291291291291292292292292292292292291291292292291291292293292292291291291290289290290290290290290289290289288288288288288288288288289288288288288288288288287287287287286287287287286287286287286286286286286286286286286286287287287288 293295295294295295294292292292291293293294294293294295291293295298293296296999295295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291292296298297298298298300302300300301300301300301302302301301302302302302301302302301301301301301300302302302303304304304303302302300303300300302301301300301300300298300299300300299299299299301300299302301301301299297298297300299297296299301302298298301298303302304303306301301300298304303298299298298298298293289293291289293293295295294294295295295298297296296300295294293293295295999999999298299300298298301300297298297300301300300297297295297297295999300298294297298999999999999303303302303303301300300300300300299301301302302302301300301302302303302302302302302302301302303303302302301301304301302302302302303301302301302302302303302304304303304303303303304304304303302304304303303302302303304304303302303303303304304304304304302303302301302302303303303303304303303303305304303303303303304303303303303301301301301300302302302302301301300299301299301301301300301301301300300299300300300300299298299298299298300299298299297299297299297298296299297296298297297298297296298298298299299299298299300300300299299299298298298299299298298298298299299299297297297297297297298296297298298298298299299298297297297299298298297299299300302302301298298298299299303300300300300301304301301300300299299299301300301301301301300299300299300300300299299299300299299299299299299299299299298299299299299299299299299299299299299299299299298299299299299298298298298298298299299300299300299299299298299299299298298298297297297296296296296296296296296296296295295295295295296296296296296296296296295295294296295295294294295295295295295295295296296295296295296296295295295295295295295295295295295295294294296296294294294294294294294294294294294294294294294294295294294293293293293293293293293293293294295294293294293294294293293293293293293294293293293293293293293293293292294293293293293292292292292292292293292292292292292292292292292292293293292292292292291292292291291291291291291291291292291291291291291291291291291292292292292292292292292292292292292292293292292292291291291290290291291290290290290290289289289289289289288288288288288288287288288289289288288288288288288287287287287287287287287287286287286286286286286286286287287287287 294295295294294294293292293292290292291291292293295294294294295296297297293292299300304300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288289294294294295296298297299298298298301301300299300300301301300301300301300300301301301301303301301301302302302303303302303303303303302302301305300300299300299298300300300300299299299298298299299297300299300299300298300299298299298298299298300298299299301301300300301304304305306303304302300303304302299301299300298294289289291293295295295295295295295297296297298297301296296295294294295294999999999999297297999301302301300297300305302301303300298297300298297999999298297298999999999999999302304304304303302301303301301300300302300302302301302302303303303303303302302302303303303303302304303303302302304304304304301303303304302302303303303304304304304305304304303304304304303302301303303303303302303302304303303303303303304304304304305304303302303301302302302302303304303302303302304303303303303303303304303303302302302301302301301302301301300300301300302300300301301300300301300300300298299299298300299299299298299299298298299299298297299300299298298299297297299297297298297298299299298298298299299300301300301299298299299299298298299299298298298298299299298298297297297298298298298299298298299299298298298299299300298299298299298302302302301299298298302302304304302303304304303304302301301299300299300301301300300301299300300300300300300299299299299299299299299299299299299299299299300299299299299299299299299299298299299299299299299299299299299298299299299299299300300300300299299299299299299299298298298297297297297297296297297296296296296295295296296297297297296296296296296296295295295295295296295295295295295295295295295297296296297296296297296295296296296295295295295295295295294296295297295294295295295295294294295294294295294294294294294294293295293293293294293293293293293293293293293293293294294294294294293293294294293293292293293293293293294294293294293293293292292292292292292292292292292292293292292292292292292292292293292292292292292292292291291291291291291291291291292292292291291292292292292292292292292292292292292292292292292292292292291291291291291290291291289290290289289290289289289289289289289288288287288288288288288289289289288288288288288287287287287287287287286286286286286286286286286287287287287 294294293293294293292293295292291291292291290291292292297296291292291296294294293292298297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294295296298297298298298299299299300301300300301300300299301301300301302301301300301301302302303301302301301302301303303302301302302300303302301300299297302299298298298299299299298297299296297298296300297299299298298297298296297294300297299293298298296302301301300301302302303301303304301306306306303301300297299298292297291292298296298299299298296299298298299297297298297298299298295296296999999999999999999999999999999298299301301303301301300299298299297999999301298301299999999999999999999304303303303302301302300301301300301302302303302303303303303303303303303302304303304303303303302304304304304304302301302302301304304304303304302303304303304304305305306305305302301302302303303302303304303302303305303303303305304303302305304301302304301301304303304302302302303303302302302302302303303303303303304303303303302302303303302302302302302302301301300301300301301301300300301300300300299299298300300299298298298299299299299300299298297297298298299298297297299298298299298298298299299299298298299300301301300300299299299299299300299299299298298298299299298299298298298298299298299299299299300299299299299298298300300299298298298298302302302302302301300302302303304303303303303304303302301299301299300301299300300299299300300300301300301300299299299299299300300299299299299300300299300300300300299300300299300300300300299299299299299299299299300299299299299299299299299299299300298299300299299299299298298298297297297297296296297296296297296296296296296296297297297297297296296296295295295295295296296296295294295295294295295295297296296297297297296296296296296296296295295295295295295296295297296295294294295295295295295294295296295295294294294294294293294293293293294293294294293293293293293293293293293294294294294294293293294294293292293293293292293292294293293293293293293292293292292292293293293292292292292292292292292292292292293293293293292292291291292292291291291291291291292292292292291292292292292292292292292292293292292292293292292292291292292292291291291290291291291290289289289289290290290290290291289289288288288288288288289289288290289288289288287287287287287286287286286287287287286286287287286286286287287287 295294293294293293293293292291291292291291290291291295294294294290289295296298298294297298294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295294296297297297298298299299300298300305307301302302300301300303301302301300300301301301300300301300301302302302303303303301301301302302301301302300296300300300299297296294300300300299299296295298299297298300300298298296298297297297297298302296297301296298299300300299300300300303302302301304301302302300301300309301299293294296293299300302302300300302300298301302296300301300297296295297296999999999999999999999999999999296299301301306303299301297298298300999999299298297999999999999999999999999304303302301301302301302301300301302302302303303303302303303303301302303303302304301303304304304304303304303303302302302301303304304304304304304304305302304304304302305303303302302302305303303303304303302302303304304304303303303302302303301301300302302302302303303303302302302302303301301302302302303303304304303303303303303302303302301301300301301301300300299300301301301302301301300300299298298304299300301300300298298300299299298298296297296298298298299299298300298300299297298298298298298297298298301301299299300300300299300300300301300300298299299299299300299300299298299299299299299299300299298299299298298300299299298298298299301301301301302302301301301301303303303303303303304303304303302301300300300299298300299299300300300300300300300299299300300299299299300300299300300299299299300300300299299299299299299300299299299300299299299299299299299299299299299298298299299299299298298299298298299299298298298297297297297297296297297296296297296296296296297297297297297297296296295295294296295295296296296296295294296295295295296296296296296296296296296296296296296295296295295295296296295295296296295295295295296296295295295296296295295295295294295295295294293294293293293294293293293293293293293293293293293293293293293293293294294293292292293293292293292293293293292292293293293293292293292292293293293293293292293292292292293292292293293293292292292292292291292292291291291291291291291292292291292292292292292292292292292293293293293292292292292292291291292291290290290290289291289288288289290291290291290290289288289288288288288288288289289289289289288289288287288287287287287286287287287287287287287287287287287287287287287 296295295293293293292292292291292293289292291290293293293293294294291293290291293294295298296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286286288294295297297297298298298298299300301303306305301303303302304303302302300300300300301300300300300300300301300301300300300300301300301301304301301301301300299302300299298298298297298299298296295295296295295297296296298297296296296296296294298297294297296298298299302304303299300299302302301301302301301302301301304999300298294296295294299299300302302302302301301300297305303303296295294294293999999999999999999999999999999999297296302303306298297302295301302301297999999999999999999307305999999999999303301301301301301302300300301301302302302303302303303303303303302302303302303304304304303304305304305303303302303304304304304303303303303303304304305304302305304303304304304303303303303304304302303302303302303304304304302303302302303302300300300300301302301302301301302302302302303303303302302302303303304304304303303303303302303302302302301301301300300300299299300299300301300301298299298298304303303299302298300302298299298297296298299297295298298299298297300300300300300298299299297298298299300299300299299299300300300299300300300301300300299298298298298300302302300299299300300299300300300299298299298298299300300299299299302301301301301301301302301301301301302302302302302302304303304303300301299299300300299299299299299300300300299300300300300300300300300300300300300301300300300299300300300300300299299299299300298299299300300299299299299299299299299299299299299299300299299299299298299298298299298298298297297298297297297296297297297297297297297296296296297297298297296296296297296296296296296296296296295295295296296296296296296296296296296296296296296296296295296295296296296295295295295295295295296295296296296296295296296295296295295295295296294294294293293293293293293293293293293293293293293293293293293292292292292293293292292292293293293292292293293292292292292293293293292293292292292292293293293293293293292292293293293293293292292292292293292291292292291292292292291292292292292292292293293292292292292292293293292293293293292293292292292292292291291291290290290291290289289290290290290289289289289289289289289289288288288289289289289288288289288288288287287287287287287287287287287287287287287287287287287287287 295294296294292292292292291292292292290291292293296289291293294291293294293291291294294301295999999999999292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289288289289290293294295296297298298298298300300301302304305300305305301301301302302301300299301299300301300301302301300301300300299300300300300301302305302300302300301301299298299298298297297297297298296296294297296296298296296297297296296295297295296296296295297296296296299298299299299300300302300300301301302303304303302295999298297293298297300296299300301296299300300296302300305302301297295294292292999999999999999999999999999999294294295296303300304301293291302300300292999999999999999999305305999999999999301300300301301301301301300301301302301301302301302302302303302302303302302303302301302303303301303304302301302303304304304304304304303303302303302303304304304302302302302303302301303303304303303301302303302303303304303303302302303305302300300301301301301299302301302302302302301302302304303303302303304304304304303303303304303302301301301300301301301301301299300300300301300299299298299297298298303302300301297303302298299299298297298299297297296300297300301302301300300302299298300299300298300300300299300300300299299300300300300300300300299299298299299300300302302300301302300300300299299300299299299298299299300300300299299302302301300301301301301301301300301302301301302302303304303302300301299300299300299299299299299299299299299299299300300300300300300300300300300300300300300300300300300300300299300300299299299300299299300299299300299299299299299298298299297298299299298299298298298298298298298298297297296296296296296296296295297297297297297296296296296297297296296296296296296296296296296295296296296295295296296295296296296296296296296296296296296296295296296296296296295295295295295295296296295295295295295295295295295296295295294294294294295294294293293293293293294293293293293293293293293293293293293293292293293293292292292292293293293293293293292293292293293293293292292293293292292293292293293293293294294293293293293293293293293293293292292292292292292291292292291291292292292292292292293292292292292292293293293293293293293293292292292292292291291291291291290290289290290289290290289289290289289288288289289289289288288288288288289289289288287288288288287288287287287288288288287287287287288288288288288288288288 294292294293292294294288291293291292294291290291291292293291294293293293292291293295297301294999999999291289292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999281288294291289294296296296297299299299299299300301299301300300301303302300301300299302302301301301301300299301301301300301300302302303303301300300300301301300299301298300298298297297297297297296296296297297297296296297297299297296296296296295295298297295297295296296295296298298298299300299301301301302301301301303304304305303301999298297299297296296295296299302296295299297304302305305305302298295293293292286999999999999999999999999296296295292294295300307303299999303303299296999999999999999999304304301298297297301300300301300301301301300301301301301301301302301302302302302302303302302302302302301301303303303302301302303303303305304304304304304303303304303305305303304304303305303304302302302302302302303302302303302302302303302302301301301305303301302302299299299300301301301300301301301301301301301303302302303303303304303303303302302302301300300300301301301301301300300300299299300299299298298297298297297298298297298302301298298297298297298299298297298299297297299299300299299299299299299299300300300300300299299299299299300300300300300301300299299298298298297298299299300302299298299299300299299299299298299299299299299298299298298298297301300300300301300300300300300301301301302302300300301298298299299299298299299299299299299299299299299299299299300300301300300300300300299299299300300300299300300299300299300301300299299300299299300299299300299299299299299299299298299298298298299299298298298298297298297297297296296296296296296296296296296297297297297297297296296297296296296296296296296296296296296296296296296296296296296296296296296296297297297297297296296296296296296296295296296296295296295295295295295295295295295296295295296295295295294295295294295294294294293294294293294294293293293293293293293293293293293293292292292293292292292293292293293292293293293293293293293293293293293293293293293293293294294294294293294294294294294293293293293293293293293292292292292292292292292291292293292292292292292292292292293292293293293293293293294293293292292292292292291291291291290290290289289290290290290289290290289289289289289289289289289289289289289289289289289288288288288288288288287288288288289288288288288288288288288288288288 292292293294294294292290291289291292291291292291292295292292294295294296292290292295294290291999999999291290293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288293293293293294298298298298297298299299300300301301299300301301302302301301301301300301302302301301302301301301301301302302303303301301300301300300300299299298298297297298297296296298298298297297294296297297297296296296296297296296296296295295296298297295296296296295297298298298298298300301301301301303300301300302303305303299999999304301296298298299297296295296301300302301294301301304305304301298296294290999999999999999999999304300296300999999302296298301306298999302303304300999300300999999999303301300299298298299300300300300300300301301301302302301301301301301301301302302302302302301302302302302302302304302301301302303303304305304304304304304304303303303306305304304304304303303304304303301300301300302302302302302301302303303302303302306304302302301301301300300301301302301302301301301302301302301301302302302302303303302303302302301301301301301300301301301301301301301300300300300300299299298299299299297298297298298300299299299298298298299299299298299299298298299300299299299299299300300300300300301300300300299299300300300300300300300300300299299299298298298298298299299300299299299299299300300299299299298298299299298297298299299298298298300300300301301300300301300301301302303301299300299300298298298299298299299299299299299299299299300300299300301300300300300300300300299299300300300300301300300300299299301299300300299300299299300300301299299299299298298300298298299299299298298298298298297297297297297297297297296296296296296296296297297297297297297297297297297297297296296296297296297297296296296296296296295295296296296296296296296297297297297297297297296296296296296296295295296296295295295295295295295296295296296296295296295295295295295294294294294294294294294294294293293294294294293294294293293293293293293293293293292292292293292293293293293292292293293293293293293293293293294294294294294294294294294294294294294294294294294294293293293293293293293293293293292292292292292292292293292292292292293292293293294294294293293293293293294294293292292292292292291291291291291290290290290290290290290290290290290289289289288289288289289289289289289289289288289288288288288288288288287287288288288288287288288287286288288288288288 295294297295296295293292293291290291290291291289291294294292294295291295293289290291292290296291294295292287293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288288288290293294296295298297297297297297298299299299300301300300301301303304301300300300301300300300301302302301300301302301300301301301301300301299300299298300298301300301300300297297296296298296299298298296297299298297297296296296298296296296295295296296298297298298298298297295299299298298299301302302302303303302301301302302303303302304999302303298295298298298295296296300300302300298297297297298299299299297293290999999999999999999999297298296999999999999999299298303296999301302303299299300302999999999302300299300299298298296298300300300301301301301302301301301301301301301301302301302302302302302302301302304305304304302302302302303303303305306305304304304303305304304303303304304304304303303303301301301300302303302302302302302302303302303304303303302303303302302301301301301301301301302301301301301301300301301301302301302302302302303302302302301301301300300301301301301301301301301300300300300299299300300300299298298297298297300300299300299300300298299298299299299299299300300300299299299300300299300301300299300300300300299300300300300300299298299299299299300298299298298298299299299299299299299300300300299299300300300299298298298303298299299298298298299296297298296301301300301301302298302302300299299299299299299299299299299299300299299299300300300299300300300300300300300299300300300300301300300300300300300300299300299300300300300300299299299300300299299299299299299299298299299299299298298298298297297298297297297297296297297297296295296296297297297298298298297297297297296296296296297296296297297296296296296296296296296297296296296296297296296296297297297297297297297296296296296296296296296296296295295295295296296296296296296296296296295295295295295294294295295294294294294294294294294294294294294294294294293293293294293293293293292292293292293293293293293293293293293293293293293294294294294295294294294294294294294294294294294294294294294293293293293293293293293293293292292292292292292292292292292292292292293293293294294294293293293293293292292292292292292292291292291291291291290290289289289290290290290290290290290289289289289289289289289289289290290289289289289289289288288288288288288288288288288288288288288287288288288288288 295296296296295295294293292289290293290290289290290294294294295293293293293292291293292296293294292292294287293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291291292294295295295297298296297298298298299299300301302303301301300303301299300299300300301299301300302301300300300301300300300300299299299300300299298298298298297297298297298297295296296296295297298296296296297297296296296296297297297296295295295296297296296298298298296297298297298299298299300301302302302302301301300301301302302302999999999300298299294298297298302298297299300296296296296296296296297297297295999999999999999999999302298300302999999999999999302303299999999298301300298300300303301999999300300299299299299298296298298301301301301301301301301302302302302302301301302302302302302302301302302302302303303304305303302303304304304306305305307303305305302304304303303304303304303302304303301301301301302303302303302302303303303303304304303303303302302303302302301302302302301301301301302301301301301300301301300301301301302302303303302302302301301301301302302302301301301301301300299300299299299300299297298299299298298298299299299300300299300300299299299300301300300300301302300300300300301300301300301300300300300300300299301300300298299300299299300299299300299298298298299299299299298300300300300300300300299300300298298298299299299298297297297297297297298298297300297300300300300300301300301299298298299298298298298299300299300300300299300300300299300299300300300300300300300301301301301300300300300300300301300300298300300300300301300300300300300300300300300299300299299299299299299299298298298297297297297297297298297296297297296296296297297297298297297298297297297297296296296296297296296297297296296297297296297297296297297296297296296297297297297297297297297297297297296296295296296296296296295295295295295296296296295295295296296295296295295295294294294294294294294294294294294294294294294294293294294293293293293293293293292292292293293293293293293292292292293293292293293293294294294294294294294294294294294294294294294295295295294294293294294293294293293293293293293292293292292292292292292292292293292292293293293293293293293292292293293293293292291292292292291291291291291291291290290289289289289290290290290290290290289289289289289289289289289289289289289289289289288288288288288288288288289289288288288288288288288288289289289 295295295294294293291292295292293288291288288292291294293293293292290293294295293289290288290293292292294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292289292290292294295297296300297298296297298298299300301302301301302300300300304300299298298299301300298300300302301300299300301300301300299299300300300300299299298298298297296296296296296294294294294295294295295295296296296297296296297297298297297295298299296297296297298296298297297298298298298298300300301302301300300301300301302302302301300999999999295294294294299298298299296296296297298296297298296295294296295295295293999999298300297999999296301999999999999999999305304298999999297300295296301298299298999999999300299299298298299298298300301300300300300300300301301301301301302300301301302301301301301301302301301303304305304306303304303304303303304305306304307303303303303303302301303303304303302303304301301301303302301302302302302301302305304303304302303303303302302302302301301302302301301301301301301300301301301301301301301301301301302303302302302301301301301301302301301301302301302301301300300300299298299299297298298299298298299300300300301301300301299300300300301301301301302301301301301301302301302302301301300300300300300300300301300298298300299300300300299299299297300299299298299300300299300300299300300299299299299299299298298301299299298298298298298298298298297297297297295300299301301298299298298298298298298299299299299299299299300300300300300299299300300299300300301301301300302301300300300301300300301301301301301299299299299300300299299299299300300300300300299300300299299299299299299298298298297296296296297298297297297297297296296297297297297297297297297297297297296296296296296296296296297296296296297296296296296296296296296296296296296296296296296296296297297296296296296296296296295295295295295295295295295295295295295295295295295295295295295294294293293294294294294294294294294294294294294293293294293293293293294293293293293293292293293293293293293293293292293293293293294294294294294294294294294294294295295294295295295295294294294294294294294294294293293293293293293293293293293293293293293293293293293293293293293293292292293293293293293292291292292292292292292291291291291291291290290290289290290290289290290290290290289290289289289289289289289289289289289289289289288288288288288289289289289289288288288288288288289289288289 295296297297296295295294293291293291288289291293292293292293292293292294296293293290289296295296290291294295999999293289999999999999999999999999999999999999999999999999999999999999999999999999999999999999300999999999999999999999294293291290290292294295297297299298297298299297298298298299301301300301301304302300300299300299301301302302301301301302302302301301302301302300300300300301300299299299299297298297296297297297296296294294295297292293293296297297296296298296297297298298298296297298299297297298297298298298298298299299299299300300299300300300300302301301300301300299301999999999999294999999300297298297296297295295298297297297296295294295294294293293999292296298297999999304298999999999999999999305302999999999298301297299301300299299999999999999299298297297299300301300300300300300299300301301301301301301301301301301301301300301301301301302302303304304304304304304304303303304303304304303303302303302302302301302302303302302304301302302301301300302301300302301301302303303304304304303303303302302302301302301301302301301301301301301301301300301300300301301301301301301302301302301301301301300301301301301302301301302303301300301300300300299300298299298299299299298299300299300301301300300299300300300301301300301300300301301301301301301302301301300300300300300300300300299299298298299299299299299299298300301301300298298299298298299299300298299299297299299298298298298298298298298297298298298298298298297298298298297295296299300300300297298298297297297297297298298298297299299299299300299299299299299299299299300300301301301301301299300301300301300299300300300301299299299299300300299299299299299300300300300299300300300299299299299299299297297297296296296296297298297296296296296296296296297297297297297296296297296296296296296295296296296296296296295296296296296296296296296296295296296296296296296296296296296297296296296296296295295295295295294295295295295295295296296296296295295295295295295295295294293294294294294294294295295294294294294294294294294294294294293294294293294293293293293293293293293293293293293293293294294294295294294294294295295295295295295295295295295295294295295295294294294294294294294293293293293293293293293293293293294293293293293294294294293293293293292292292292292292291291291292292292292291291291291291291291290290290289290289290290290290290290289290289289289289289289289288289289289288288289289288288288288288289289288288289288288288289288288289289288289 297298296296296295295293293291291294289290291294293293292293293294294292293292292293293293293291291291292294294295297296298298299301999999999999999999999999999999999999999999999999999999999999999999999999999298304999999294292291292292293292292293295295298298298298297298299298297298297298301301302302303303301300300299300303300300300300300301302301301302299302301301301301300302301300299299299299299299298298298297297297296295295296295295293293297297297297297296297297297297298297299298298298298297298298297298298298298299298298300299299299300299299300301303303302302301301304999999999999295292289294296297297297297296295295299299298298297296296296295294292999294298298299299999307304999999999999999999306301292999999999297299296299300300298999999999999999298297295300298301301301300300300300299300301301301301301301301301301302301301300301301302301304303303303303303304304304304304303302302303302302302302303303301302301302302302302303302300300301302299300301302301302302301302303302303304304302304304303303302301302302302301301302301301301301301301301300301300301301302302302302302302302301301301300301300301301301301301301301301301300300300300299300299298298298299299299298298298298299300300300300300301300301300299301300300300300300300301301301302300300300300300300300300300300299298298298299299299299297299300299300301301298297299298298298299299298299298298298298298298296299298298298298298298298298298298298298298298296297297296296299296296297297297297298297297297298298299299299299299299299299299299299299299299299300301301301301301300299300301299300299299298301301300300300300301300300300299299300299300300300301300300300300300300299299299298298298297297297297297297298297296296296296296296297297297297297296296296296297296296296295296297297296296296296296296297296296296296296296296296296296296296296297296297296296297296297296296296295296296295295295295295295295295295296296296296295296295296296295295295295294294294294294294294295295294294294295295295294294295294294294294294293294294294294293293293293293293294293294293294294294294295295295294295295295295295295295295295295295295294294294294294294294294294294294294294293293293293293293293293293293293294294293293293293293293293293292292291291291291291291291292292291291291291291291291291290290290290289290290290290290290290290290289290289289288288289289288288289288288289289288288288288288289289289289289289289288289288289288288288289288 298298296295296293290290293292290290292292292293294293293293293293292292296294293292290291290292292291293293293293295999999300300302301999999999999999999999999999999999999999999999999999999999999999999999302301298291293293292290293293293293294295296297298297296297297298298299300300300302303304302301302301301300300300302300300300301301301301302302302302301300301301300300301301300299299299298298298298298298297297297296296296295294294292293293297298296296296297297297297298297297298300298297298298299298299299298298298299298298299298300300301301300301301303303303301301999999999999298297296295293292295296298298296297297299298297298297296296296295295295294292295296298303302306304302307999999999999306306302999999999999296297297299298299298295999999999999296297294291298301301301301301300300300300301301302301301301301301302302302301301301302303304304304303303303304305304304304304303302303302302301303303303302302300299300302301302301302300301299300299302301302301302302303301303304304305306303304305304304303302302302303301302301301301301301301301301300302301301301302303302302302302303301302302301300301301301301301301301302301301301301302302301300299299300299299300299300300299299300300301301301302302301302301301301301300299300300301301301301302301301300301301300301300300300299299299298299299299299299299299301298298301299298298298299299298299298299298299298298298298298299298298299299298297298297298298298298297297299297297297296297297297297298298297298297298297297298299299299299300299299300300300300300300300300301300300301301301301300300300300299300300299301301300299300301301301300300300300300300300300300301300301300299299299300300299299298298298297297297296297297298296296296296296297297298297297297297297297296296296296296296296297297297297296297296297297297297296296296296296297296296297297297297297297297297296296297296296295295295295295295295295295295295295295295295295296295295295295295295295295294294294294294294294294294295295294295295295295295295294294294294294294294294294294293294293293293294293293294293294294294295295295296296296295295295295295295295295295295295295295294295295295294294294294294294294294294293293293294293294294293293293294294294294294294293293293293292292291292291292291291291292292291291291291291292291291291290290290290290290290290291290290290290289289289289289289289289289289289289289289289289288288288288288289289289289289289289288289289288288289289288 299298297297291291292291292291292293292293292292293294294294293293293293291290292293291290292292290292292295296296297999999300301302302302999999999999999999999999999999999999999999999999999999999999999301304301298291290290293291292291293294295296297296295295298297298298297299299300301302304303303301302301302300302298302303301301300301301303300300301301302300302301300300302302301300299299297296297295295295296297295295295295292292293293294294295296297296296297298298298298299298297298298298298297299301301301301298299299300299300300301301301301300302302303303302302299999999999294295297297297294294295298296295296297295298297297298297296298297295296296295295294295298302303303300303303999999999999305302296999999301298297295297299296299296292999999294295296297294999299299301301301301300300300300300301301302301301301302302301302301302301301302303304304304302303304305305305304304303304304301302301302302302300300300300299301300301300300299299299299299300300302300301303301302303304305305304303304304303302302301301301302300301301301301301302301301301300301301301302301302302302302303302302302302301301300301301301301300301301301301301301300301300300300300300299298299299300300299300300300301301302302301302302301301300300299300301301300301301301301301301300300300300300300301301299299299298300299299298298299299299298301302297298298299298299299300299299299299298298299298298299299298298298298298297297298301298297297298297297297296296297297297296297297297297298298299299298299300299299300300299300299300300300299300300301300301301300300300300300300301300301300300300300300300301301301300301300300300300300300300300300300300300299299298299299299299298299298297297297296296296295296296296296296296297298297297297297297297297297296296296297296297296296296296296296297297297297296296296296296296296297297297297297297297297296297296297296296296295295295295296295295295295295295295295295295295295295296295296295295295295295295295294294294294295295295295295295295295295295295295294294294294294294294294294294294294294294294294294294294294294295295296296296296296296295295295296295296295295295296295294295295295295295294294295294294294294294294294294294294294294294294294294294294294294293294294293293292292292292291291291291291291291291291291291291291291290290290290290290290290290290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289289288288 299299299291292292292292294292293293294293293292294294294293292295295293291293291291292292293293294294294295297296297300302299301301301302301301999999999999999999999999999999999999999999999999999999999999299302300295293293295293292292294294294294295295296296297296296299298299299300301302303304302302302303302300301304298304305302300303301302301302301301303302301300300300300300299298297297296295295295294295295295295296295294292294293294295294294297294294298296299297297298299298296298297297297299299302300303300300300300301301301302300300300301303303302301302300999999999999296297296294296297297295296297297297296297297297299297299298299299299298296295295299298296299299299300300303303999999999999299296999999303304300295297999296297300296296999999293295295298295999298298298299299299300300300301301301302301301302302302301301301301303301300302303302303303302303304305305305304303303303303303303302302301300301300300301302301301301300304299297298299298300299300300301303301302302305305305305305304305304302301300301301300300300301301300301301301301301301301302301302302303302302302303303302302301301300301301301301300300301302302301300301301300300300300300300299300300300301300300299300300301302301301301301301301300300299299300301301300301301301301301301301301300300300301301301299300299300300300299299299299299298298300300299300298300298298298299299299300299298298299297299298299298298298298298298297296298298298297297297297296296296297297297300298298297297298299298299299299300300300300300300300300300300300299300300300300301300300300300300300300301300301300301300300300300299300300300300300301300300300300300301301300300299299299298299299298298298299298298298297297297296296296297296297297297297298297298298297297297297297297297297297297297296296297296296297297297298297296296297296296296296297297297297297297297297297297297297297296296296296296295295295296296296296295295295296296296295295295296296296295295295295295294294294295295295295295295295295295295295295295295295295295294294294294294294294294295294294294294294294294294294294295296296296296296296296296296296296296295295295295295295295295295295295295295295295295295294294294294294294294294294294294294294294294293293293294294293293293292292292292291291291291291291291291291291291291291290291290290290290290289289290290290289289289289289289289289289289289289289289289289289289289289289289289289289289289288289289289289289289288289289288 296296294291292293293292291293294293294294294293293294293293293293294295294293293291292295294294295294295297298298297298302301301301301301300299299300999999999999999999999999999999999999999999999999999300299297301299296295292298295295295295296295296296296298298298298298298299300300300301301302303304302303298301300302301299300300298299298302301302302301302301301300301299299298297297296296295295295294293294295294294295295296295296296295297294296296297296297297298299298297298297297297297298298297299301301301302302300302301302302303302301302302303304305301301302999999999999297297295295296297298296297297297296297297298297296300299298299299298299296293294297297295298296294296298303999999999999300297999999296306299297295999999999999298297299298296295296296298296295999297299297297299300299300301301304302302303302302302301301300302302302302301303303303302302303303305304304304303302303302303303302302301300300300299301300300300300299300300298298298298299299303303304303305306307305306307306305305305304303301301300300300300300301301300301301302302301301302302301301302302302302302302302302302301300301301301301301301301302301302301301301301301301300300300300300300300300300300300300300299300302301302302302302302301301301300300301301301301301301301301301302300300299299301301301299300300301300299299300299299299298298298298299298299300299298299299299299299299300298299298299299299299299298298298298299298298297297297297298297297297297297297299301297300298298299299299298300300300300300300300300300300300300300300300300301300301300300301300300300301301300300300300301300300300299299300300300300301301300300300300301300301300300300299299299299299298298298298298298297297297297296296296296297297297296297297297297297297297297297297297297297297297296297297297297297297297297296297297297296296296296296296297297297297297297297297297297296296296296296295295295295296296296296296296296296296295296295294295295296295294295295295295294294295295295295295295295295295295295295295295295295295295295295294294294294294294294294294294294294294294294294295295296296296296296296295295295295296295295295295295295295295295295295295295296295295295295294294294294294294294294294294294294294294293293293294294293293293292292292292292291291291291291291291291291291291291291291290290290290290290290290290289290289289289289289290289289289289289289289290289290289289289289289289289290290290289289289289289289288288289288289 296294292292293295293293291293295293295294293292293293294293293294294294294292291291291294294293294296296297296296296297299301302301300300299300299300300999999999999999999999999999999999999999999999298297299293295295290297298296297295297295295294295296297298298298298298299300301300300301300301304304302303300302302301302302303303299299299298301301301301301300299299299299297297296296296295294294295293294294293294295295295295295296295295296296297297298298297297299299299299298296298298298298299298300301300303303304304303303303302304304304303304304306304301299999298298297296297295297297297298299297296296296298299298297299298296299299298297298299299301292294295299297293291999999999999999999999302296999999298299296299999999999999999299298299299298297296296296294294297297297297999298299301300301301304301302303302303304302301302302302301301301302302302301302303303304304304305304302301302304304302302302302299301301301301300301300300300301299299299299299300301306306305305303303305306306305308306304304303302300300300300300300300301301300301302302301302302301301301301301302301301301302301301301300300301301301300300300300301301301301301301301300300300299299299300300300301301301300300300300301301302302303302302302301301300301301301301301301301301301301302301301299299302300301300300300299300299299299299299299298299298299298298299298298299298298299299299300300301300298298300299298298298298298298298297298298298297297297297297297298298298298298299299298299300300300299299299298300300301300300301300300300300300300300300301301301301300300300300301301300300300299300301300299300299300300300300300300300300300301301301300300300299299299299299298298298298298298297297297297296296296297296297296296296297297297297297297297297297297297297297297297297297297296296297297297297296297297297297297297297297297297297297297297297297296297297297297296296296295295296296296296296296296297296297296296296295295294295296295296295295295295295294294295295295295295295295295295295295295295295295295295294294294294294294294294294295294294295295294294295295296296296296296297296296296295296296296296296296295295295295295295295295296296296296295295295295295295295294294295295295295295295294294294294295295294294293293293293293292292292292291291291291291292291292291291291291291291290291290290290290290290290290290289289290289290289289289289289290290290290290290290290289289290290290290290289289289289288288288288289289 295295294294292291293292293293296296296294293293294293293294294293295295294294293293295292292292292293296298298297294297298297298300299299298300303299999999999999999999999999999999999999999999999999293297296294291290291301297294301297299298294294294294296297298298298299299300300299299300300300301300301300301301300300301301302302302300299298301301301301300301300299299297297297296295295295295294295294295294294294294295294295295296295294295296296296296298298298298298299299298298298298299299299300300300302303304306305305305305303302305303302304306305300299999300298299298298298297298298299297297294294295294298298299297297295296299297297297299299301300297296297297296287999999999999999999999300298293999999296296999999999999999999999298298298297296296294293296294293296297299303999298299299301300301301301300302301303303303302301301301302301301302302301301302302303304303303303302302301301302302303300302300301300299300302300302300299300300300300299301300301302306305305304304305306306306306305306305303303301300300299299299299301302302302301301302302302302301301301301301301301301301301301301301301300301301301301300300299300300300301301300300299300299299299299300301301301301301301300300300301301302302303302302302301301301301301301301300301301301301301301300300299299301301301301299300300300299299299300300299299298298298297298299299299299299299300300300300298302298299298299299298298298298298298298297297297297298298298298297297298298298298298299299299300299300300299300298299298300300300300300300300300300301301301301301301301300301300300300300301300299300300299300300299300301300300301300300301300300300300301301300299300299299299299299298299299299299298298297297297297296296296296296296296296297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297298298297297297297296296296296296296296297297296297297297297297296296295295296295295296296295295295295295294295295295295295295295295295296295295295295296295295295295295295295295295295295295295295295295295295295296296296296297297297297296296296296296296296296296296296296296296296296296295296296296296296295295295295295295295295295295295295295295295295295295295295294294294294293293293292292292292292292292292292291291291291291291291291291290290290290290290290290290290290290289289289289289289289289289289289290290289289289290290290290290290290289289289289289289289288289289289 298295297297293294291293293294296296295295295295293293293293293293295295295294294294293292294293294293292294294294294296297297300298297297298297300999999999999999999999999999999999999999999999999297295293291290295297293293296297298299299294294294294295296297297297298299299301300299298298300300300300300300300300299299298297299299299298299299298299299301300299298298297297298297296295295294294294294294294294294293294294292295295296296295296296296295297297298297298298298298297299298298299299300301301301302303304307308307307306305303302303302303303300298999999298297298298298297298298299298297297297295294294295297298296296295295296295295296297300300299296297296296296292999999999999999999999295295999999294295296999999999999999999999999296296296296295294294294999999300299299299300299301301300301300301304303303301302301303302301302301301301302301301302301302303303304303302303302302302300300302301300302299300300301303302301302300299299299301300298301301301302304306305306305307308307305305305307306304303301300300300300300300301301301302303302302302302302303302302302301301301301301301300300301301300301301300300300300299300300300301301301300299299299299299300302301301301301302302302301302302302302302303303302301301301301301301302301302302302302302301301301299300300300300300300299300300300299299299299300299299298299299298299299299299300299299300300302300298299300299299299299298298298298298298298298297297298298298298298298298298299299299299300300300300301300300300300298299299300300300300300300300300300301301301301301301302300300300300300301300300301300299299299300299302302302300300300300301300300300300301300300300299299299299298299299299299299299299299298298297297297297297297297296296297297297298297298297297297297298297297298297297298297297297297297297297297297297297297297297297297297297297297298298297297297297297297298298297297297297296296296297297297297297297298297297296295295296296296295295297296295296296295295295294295295295295295295295295296295296295296295295295295295295295295295295295295295294295295295296296296296296297296297297297296296296296296296296296296296296295296296296296295296296296296296296295295295295295295295295295295295295295295295295295295295295295294295294294293293293292292292292292292292292292292292292291291291291290290290290290290290290290290290289289290290289289289289289289289289289289289290290289289290290290290290289289289289288289289288288289289289 297294294297293293294293294297296297296297298297295295295294294295295295294295296297295293294293292294292294293295295296299299299298295298298296300999999999999999999999999999999999999999999999999999296292294298297298296292296297292298298293294294294295295296297298298298298299299298299298299299298298299299301300300300299298297297295300299298297298298297298298298297297297297296296295294293293294294294293294294294294295295295295294296296296297296296296297298296298298299298299299298298299299299300301301302303306306307307306303303301301301303303301299999999999299299298298298299299299299298297297297297296295296297296296297294294293294295297299299298299299300295295297294999999999999999999999298295999999295294292999999999999999999295296297297297296293293293295999999298299300999300300300300301302302302303302303303303302300302302303303304302303304302301301302304304305304304302300301301299299302300300300300300300302302302302302300300300301300300299300299301301305307306304306308307307305304304305306304302300299300300301301301301301301302303303302302302302301302302303302301302301301301301301301301300300300300300301301300301299300300300300300300300300299299300301300300301302302301302303302303303303302303303302302302302302302302302302302302302302302301301300300300300300301300301300300299299300300300300299299298298299299299299299298300300300300300300300300299300299299299299300299299299299299299298299298299299299297298298298299299299299300299300301301301301301301300300299300299299301301301301301301301301301301301300300300301300301301301301301301301301300300300300302300302301301300300300300300300300300300300300300300299298299299298299298299299298299299298298297297297297297297297296296296297297297298297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297297298298297298298298298297298298298298297297297297296296297297297296297297297297296296295295295296296295295296296296296297296294294294294295295295295295295295295296295296296295295295295295295295295295296295295295295295295295296296296296296297297297297297296296296296296296295296296295296295296296295295296295296296296296296295296296296295295295295295295295295295295295295295295295295294294294294293293293293292292292292292292292292292292292292292291291291290290290289289290290290290290290289289289289289289288288288288288289289289289289289288289289289289290289289289288288288289289289289289289289 299297295296296297295296295295297297297298296296295295295295295295296295297296297296297296295293295296294293294295296299297297298299299297299299999999999999999999999999999999999999999999999302999297299298302298298300298298296297294296295294294295296296296296297297299299299299299298299299298299299298300301300299299299298298297297296298298297296297297297298297295296296296296295294294293292293292293293293292292292293294295294295295295295296296296296295296297295297298297297299299297297297298299301301301302303304304306307305301301301301302302302301999999999999297297297299299300299298298298297297298298297297297296297297295294294292294294297298296299298300298297294294295296999999999999999999301296999296296295294292292289291291294295296296297297296294294294294999999999299299298299299300300300302301303302302302301300300301302303303302303306304304302301303303302303303303302301300300299300301301298298298300299301301301300301301301300301299300300299299300301302302308305305304306306307305305304303305303301302301302302300300300299301301301301301301301302302302301302302301302301301301301300301300301301300300300300300300300300300300300300299999300300300300300300301300300301302302302302304303303303303302303303303302302302302303302302302302302301302302301301300300299300300301299301300300299299300300300300299299299299299299299299300299300300300300300300299300298300300298299299300299299299299299299298301299299299299297299298298299299298298299298300301301301300301301301299301301300299300299301301300300301301301301301300300300300300301301300300300300301301301301301301303301300300300300300300300300300300300300300300300300299298299299298298299298298298298298298298297297297296297297297296296296296296297297297297297298298297297297297297297297297297297297297297297297297297298297297296297297297297297298298298298298298298298298297297298297297297297296296297297297297296296297297296295295295296295295295296295295295296296297294294294294294295295295295295295296295296296295295295295295295295295295295295295295295295295295295295296296296295296296296296296296296296296296295295295295295295295295295295295295295295296295296296296296296296295295295295295295295295295295295295295295295295295295295294294293294293293293292293292293293293292293293292292292292292291291291290290290290291290290290290290290290290290289289289289289289289289289289290289289289289289290290290289289289289289289289289290289290290 295295296298297295294294298296296297296295297296296296295295296295295296296296297296297295296295297298299299297295295295296297297295296299297299999999999999999999999999999999999999999999296299303299300302301297294298297298296294297293296295296296295295296296295298299299299298298299299299298298300299299302300300299298298298298297297296296297297297297296295296295296296295294294293293293292293293293293293293292293293293294294294296295294296296295295296297296296297298299298294299299298299299299300300301301302303302305306306302298301300300299297999999999999296297298298299300299297299298297297297298298298297297296296296295295296295294293295296294294295293293289290293297294295999999999999999999295999296297295293291292293292293293293294294296295295295296296297296297999999999297298299299301300302303302302303304299300299300301300304301302304303304303301302302302302302301302300299299298299300298298298298299300300300301300300300300300300299299299298300300299301304305305305307306306306305304303304305304302301300302301300301300300301300301301301301301302301301301301301302302302301301301300301300301300301301300300300300299300300300300299298300300300300300300300301301300301302302302303303303304303303303303303303303303303303303302302302302302302302301301301300300300300299299300300300299298300300300300299300298298298299300301298299299299299299300300300299298299299299299299300299299299299299299299299300299299299299299299299299299300298298299300299300300301301300299299300300300301300301301300299300301301301301300300301301301301300301301300300300300301301301301301300302300300300300300301300300300300300299299299299298299298298298298298298298298298298298299298298297297296297297297296296295295295296296296296297297298297297297297297297297297297297297297297297296296297296296296296296297297297296297297297297298298297298297297297296297296297297297296297297296296296296297297296295296295295295295295295295295295296296295294294294294294294295294295295295295296295295295295295295295295295296295296295295295295295295296296296296296296296296296296296296296297296296296296296296295296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296296295295295294294294294294293293293293293293293294293293293293293293292292292291291291291291290290291290290290291290290290289289289289289289289289289289289288289289289289289289289289289289289289289289289289289289 296297297297294293294294296295296297296295295295295296296295294293296296296295295295296295295295296298299299298298294295296296297297298299298298999999999999999999999999999999999999999999300298300303303299297297297297295293293293297293297296296296295295295296297296298298299299298300300299298298300300300301301300300299298298297297297297296297297297296295295296295296295295294294293293293293294294293293293293293293294293293294296296295295295296295295295297296296297299299299300298299299301302300300300300302302302306300300305303300300299300297999999999999297297296298300300301301299299299298299299298299299299299298297295295296296295294294292294293293292292292291290291295295299300296999999999999999298295294293293293292291291292294293294294296295295295296297298296999999999999299299298298300300300301302301301299298299301300302299299299300300301300303300300300302301301302301300300299299299298297298297298300301301300300300299299299300300299300299298298299298301302302306305308306307306304305304304305305302301301301302300300301300300301302301301301301301301301300301301300300301301301302301301300301301300300300300299300300300300300299299299299300299299300300300301300301301301300303302302303303303303303303303303303303303303303303302302302302302302301301300301300300299299300300299299299298300300300300300299299299298298298300300299299299299299299300300297299300299299299299299299299300299299299299299299299299299298297297297298299298298299300300300300301300299299299300300300300302302301301301300300301301301301300300300300300300300301301300300300300300301301301300300300299300300300300301300300299300299299299299298298298298298298298298297298298298298298298299298297297297297297297296296296295296296295297297297297297298298298298298297297297297297298298297297297297297296297297297297297297297297298298298298298298298298298298298297297297297297297296297297297297297297297297296296296296296296295296295295295296296296295294295294295295295295295295295295295296296296296296296295295295295296296296296296296296295296296296296296296296296296297297297296297297297297297296296295295296296296296296296296296296296296296296297297297297297296297296296296296296296296297297297297297297296296296296295295295295295295294294294294294294294294294294294293293293293293293292292292292291291291291290290290290290290290290290289289289289289289289289289289289289289289289289289289288289288288288288289289289289289290 298300294296294292295294299298297297299297296296295297296295294295296295296296296295295295294295299298297298298296297295297297298298298298297295999999999999999999999999999999999301298298298297299299298296295294295294293293294294294294294295295296295295295296297298298297298300300300301298299301299299300298297299298298298298298297298298297298297297296296295297296295294294294293294293292292293294293293293293293294293293294295295295296296296296296295297295296296299299299299298299300299300300300300300300301303305307302306306304301298300300999999999999298296296299301301301301301300300300299297299299299300299296298297296295294296296295295295294294295293293293292291295295297299298299296999999999999298295293287289293293295294292294295295294296296296297297297296296999999999999999298999298299299300303302301300300300301301300301299299300301299299301299300299300301300301300299298299298299300297298298299300301300301300300300300299300299300300300299298299298298301303306304306306306307307307306304307306304301302300303301301300303300301301302302302302302302302301301300301300300300301300301301301301301301301301301301300301301301301300301300300299300301301301302302302302301301301301303302304304303304303303304303304304304304304303303303302303302302301302302301300301300299299300301300300300300299300301301301299299299299299299298299299300298299300300301301301299300300299299300300300300300300299299299299299299299299299298298298300300301300299299300301301301301300300300300300301301302303302302301300299301301301300300301301300300301301301301301301301301300301301301299300300300301301300300300300299299299298299299298298298298299298298298298298298298298298298299299298298298298298298297296296296296296297297297297298298297298298298298298298297297297298298298298297297297298298298298298297298297298297298298299299299299298299298298298298298298298298297297298297297298297297297297297297296296295295295296296295295296296295295295295295295295295295296296296296296296296295296296296296296296296296296296296296296297297297297297297297296296296296297296296297296296297297297296296296295295296296296296296297297297297297297296296297297297297297297296296296296296297297297297297297297297297297296296296296296295295294295294294294294294294294294294294293294294294293293292292292292292291291290290290290290290290290290290289289289290290291289289289289289289289289289289289288288288288288288289289289289289290290 297299293294292293295296295298297296298298297295296296296295295296296295295295297295296295294296297298298299297296298296295296297298297298297295999999999999999999999999302303300299300298299297297296295295294295294294294295293293293293293294296295295295296296296297297299297299300301300301299300298301299300298298297297297297298298297297298297297296296296296295295295295294293293293293292293293293293293293293293293293294295295295295295295295295295295296296298297297298298300298299299298300301301300300302303304303302301304305304299298999999999999295294296297298298300300301300301301301301300299299298298298297297297296297296295295296295297295295294294294293292292294294295297296298296295999999999295295293999999290294296295296294294296297297999297298297297297297295999999999999999999999297299299300301301301300301300301300299299300303302302300301300300300300300301300301300300299298300300300299298299300300301301302301301301300300300299299299300299299300299299304303305304304303306307306305304304306306304302302301299300301300300301302302302302302302302302301301301301301301301301301300300301302301301301301301301301301301301301301301300301300300301301301301302302302302301301301301302303303303303305304304303303303304304304304304303303303303302302301302301301301301301301300301301301301300300299298301300299300300299300300299299299299299298299299300301301300300300299299299299299299300300300299299299299299299299299298298298299300300301300299298300301301301301301301300300300301301301301301302302301301301300300300301301300300301301301301301301301301301301301302301301300301300300300300300300300299299299300299300299299298298298298298298298299299298298299299298299299298298298298298297297297297296296297297297297297297297297298298298298297297297298298298298298297298298297298297298298298298297300298298298298298299299299298299298298298298298297298298297297298297298298297296296297297296297296295295295296296296295296297294295295295295295296295296296296296296296295296295296296296296296296296296297296296296296296296296296297297297296296296296296297296297297297296296296296296295295296296296296296296297297297297297297297297297297297297296296296297296296296297297297297297297297297297296296296296296295295293295294294295295295295295295294294294294294294294293293292292292292292291291290291290292290290291290289290289289289289289289288289289289289289289289289288288288288288288289289289289290289290289 298298296295294295297294295295298298299298296296298295295296296297296296296296297296297296295297297297297296295295293293294295297297296296296296999999999999999999999301301300300299297295296295295295295295295294293294294293294292293293293293293294294294295296296297296297297297297299300301300301298298299300300298298297298297298299298298297297297296296297296296296295294294294294294293293292293293293293293294294294294295295295295295295295295296295297296296298297298297298297299299299299299301302299300302303302303301302304303301299999999999999295296296297297297299300301300300301300301301300299300299298298297296296297297297295295295295295295296295294295294294293294292293298297298297294291289291292292293292292292294294293294294295296297297297297298298297297297295999999999999999999999298299299299300300300301300300300300299298301301304302300302299302303301301300299300300300300300299299300300300300302300300302301301301302301301300300300300298300299299301304304301302302303304304305304305303302303302301302301299301300300301300301301301301302301302301301301301301301301301301301301301301301302302301301301300300301301301301301301301301301300301301301301302303302302301301301301302302303303303304304303304304304303304304303303304304303303303302302302302301301301301301301302301301301300300301300300300300300299300300300299300300300299299299300299299300301300300300299299300299299299299299299299299299299299299298298298298298299299300299301300299299300301301300299301301300300301301301302302301301301300300300301301300301300300301301301301301300301301300301301301301301301300300300300301300300300299300300299300300299299299299298298298298298298299299299299299299299299299298298298298298297297297297296297297297297297297297298298298298298298297298298298298298298298298298298298298298298298298298298298299299298298298298298298298298298298298298298298298297297298298297297297296297297296296296296295295295295296296296296296296295295296295295295296295296296296296296296296296296296296296296296297297296296296296296296296296296296296297295295296296296296296297297297297297296296296296296296296296295296296297297297297297297297297297297297297297297297297296296296297297297297297297297297297297296296296295295295295296295295295294295295295295295294294294294294294294293293292292292292292291291291291291292290290290290289289289289290290289288288288288289289289288288288288288289289289289289289289290290290290 296298296295295295295298298299299297298297296297297297296299297297297298298297297296297297297299298300298298296295294293294295296295295295294295999999999999999999298301299298297296295295295295295296296295295297294294293292292293293293293293292293295294295296296297296296297297296297299299300301298298299300298297298297297298298299298299298297297297296295295295295295295295295294293292291291293293293293293293294294294295295294295295295295295296295296296296296297297297297297298297298299299302299299298301301301302304301301299298999999999999293295296297298297297300300300299300301301300301300299299299298297299298297297298297297297297296295295296295295296295294293293296295296298296295293292291291293292292291293293294294293293292293295298297297999294294296999999999999999999999999999999999298299300301300299300299300300300300300302301299301301302302300300300300300300300301300300301300299301301301300300301299301301301301302301300300300300300300300299299300302304304301302304303303304303303302301302302302301301301300300300300300301301302302302301302301302302301300301301301300301301300301301301301301300300300300301301301301301300301301301301302301301302302302303303302302301302302303303304303304304303304304304304304304304303305304304303303303302301301301301301302301301302302301300300301301301300300300300300300300300300299301301300300299299299299300301301300301300299299299299299300299300299299299299299299298298299298298299299300300301299300301301301300300300301301300301301301300301301301301301301300300301301300300300301301301301301300301301301301301301301301301301301301301300300300300300299300300299300300299299299299298298298298298299298298299299299299299299299298298297298298298297297298297296296297297297297297298298298298299298298298298297298298298298298298298298298298299299299298298299299299299299298299299297299299299299298299298298298297298298298298297297297297297297296297296296295295296296296296296296295295296296296296296295296295296296296296295296296296296296296296296296296296295296296296296296296296296296296295296296296296296296297296296296296296296296296296296296296295296297296297297297297297297297297297297297297297297297296296296296297297297297297297297297297296296296295295295295296295295295295295295295295295294294294294294294294294293292293293293292292292291291292293291290290290290291290290290289289289289288288289289288288288289288288288289289289289289289290291290290 297297297298298296296298299297297297297297298296297298298298299298299299299298298298297297299300301298299295295295295293294297296296295294295296999999999999999298300300299298296295295295296296296295296296295294293293293292292293292292293295292294295295297296297297297295296296296296297299299299298298296297297298298298297297297298297298298297297296296295295295294295294294294294293292293292293293293293294293294294292294294294295295295294295295296296296297297297297297297298297298297298297300300299298300298298300301301298297999999999999294297297298299300299300300299300299300302302300302299300299299298298298297297298298298298297296296296296296296296296295294295295295296297297294293292292292293292291289289290292293293293293291293295295296295999999298297999999999999999999999999999999999297298299300301301300300300300300300299299300301303300301301300300300301302302301300301300302301301301301301299299301300301301301301302300300300300300301301301299298298298300302307301303302302305301302302302301301301302301299299299300300300301301302302302302302301301302302301301301300301300300300301301301300300300300300300300301301301301301301301301301302302302302302301303303303303302303303303303303304304303304304304304305305304304305304304304304303303302302303302301302301301301302302302301301302301301301301301301300300300300299300300300300299299299298299301300300300300300299299300300299299300300299299299299299299298297298298298299299300300301300300300300300300301302302302301301301301301301301302301300300300302301301299300300301301301301301300300301301301301300301301300300300300300300300300300300300300300299300300299300300299298298298298298298298298298298299299298298298298299298298298298298297297297296296296296298298298298297298298298298298297298298297297298298298298298298298298298299298298298299300300299299299299299299299299299299298299298298298298298298297297297297297296296296296295295295295295295295295295295295295296295296295296295295295295295296296296296296296296296297297297297297297296296296296296296296296296296296296295296296296296296296296296296296297297297297296296296295296296297297297297297297297297297297297297297296297297297297297297297297297297297297297297297297297297296296295295295295296295295295295295295295295294295294294294294294294294293293293293294293293292292291291292291291290290291291290290290290290290289289289289289289289289289289289289289289289289288289290290291291 296298298300299299296295295297298296296296297296296297297298297300300299299298299298298297300299298296297296297297296295296295297295295296296294296999999999999295297295295295295296296296295297296294294294294293296293295292293291292292292292295295297296294294294295296297298295294295296297298299298297296297298297298295294298297297297297297297296295294296295295295295294294294294293293293292292292293293294294293294294293294295295295294295295296295297296297297297297296296298298298299298299297300301299299297296297299302296999999999999295295298298296299301301299300300300299301302301301300299300299298298298298298298298298298297297296297296297296297298297295295295295293295295294292291291290291291291290290289290290292294294294290294295295296299999999999999999999999999999999999999999999296297300299300301300300300300299301300299300301302301301302302300301300302302302302302302303302301300300300300300301301301300300301301301300300299299298299300300300299298299300301303302303303304305305304303302301301301300301300300301300300299300301302301302302302301301301302302301300300301300300300300300300301301300300300300300300300301300300300301301302301302302302302302302302303303303303303303303304304305304304304304304305304303303304304303303304303302302302302302302301302301302302301301301302301301302301301301301301300300299300300301299299299299298299299300301300300300300299298299300299298299299299299299299299299298299298298299299300300300301301300301301301300301301301301302301301301301301300301301300299301301301301300300301301301301301301301301301300301300300300299300300300300300300300300301301300300300300300300299299299299299299298298298298298298298297298298299298298298298298297297297297297296297297296297297297298297298298298298298298298298298297298298298298298298298298298299299298298298299299299299299298299299299299299299299299298299299298298298298298297297297297297296297296295295295295295295295295295295295295295296294295296296295295295295295296296296296296296297297297297297297297297296296296296296296296296296296296295295296296296296296296296296296297297297297297297297297296297297297297298298297297297297297297297297297296296297297297297297297297297297297297297297297297297297296296295296295295295295295296296296295295295295295294294294294294294294294294294294294293292292293292292292292292291291291291291291290290290290290289289289289289288289289288288289288288289289289290290290291291 300299301298300297296294296295294295296296297296298299298297298299300300298297297298298299297298297295295297295296295297294294295293294294294293999999999292294295295295296293294293294296295296295294295295294292296293293293290292292292292292295295295294295295296295295296294295295296295297297298297298297297296296297295295295296297297296296296296295295295295294294294294294294294294293292292292293293293293293293294294294295295295295294295295296296296296296297297296299296298298298298297299302301301299299296298296296295999999295300295295296298298299300300300300300299299303302302301300299300299299298298299299299298298298297297297298296296296296297298297296296296294295294294295294293292290290290289289999290290292294296297297295291293297298300999999999999999999999999999999999999999299299301300300301300299300299300300300300302302302301301300301301300300301301301301302301301303301300300300300301301300301301301300302301302301300300300299300299300300299298299299300300302304302304306306305304302302301300302301301301301301300299300301302302301302302302301302302302302301301300300300301300300300300300301301301301300300300300300300300301301301302302302302302302303303303304304303303302303304305304304305305304304304304304303304304304303303303303303302303303302302302302301302302302301301302302302302301301302302302302301300301300300299300299298298300300300300300299298299299299300299299298300300299299299299299299298298299299300300300300300301301301301301300300301301301302301301302302301301301301301301301301300301300300301301301301301301301301301301301301300300301301300300301301300301301301302301300299299300299299299299299299298298298298298298297298298298298299298298298298298298297297298297297297297297297297297297297298298298298298298298298298298298298298298298298299298298299299298298299299299299299298299299299299299299299299299299298298299298298298298298298297297297296297296296296296296296295296296296296296296296296295296295295295295295295296296297296296297297297297297297297297297297297297297297296296296296296296296296295296296297296296296296296296297297296296297297297297296297297298297298297297297297297297297297297297296296297297297297297297297297297297297297297297297296296296296296295295295295295295296296296295295295295295294294294294294294294293293293294293293292291292292292292292291292292292292291291291291291290289290289289289289289289288289289289288289289289290290290290290290 299299297299299297296295295297294295297297298298300301301299300303301300294296297296297297295295295295294295295297295294294295294296292293296294296295294294294294294295297296296296294296295295296295295296294293296292295295295295292291292292295292297296295296298295295295295294296294294295296296296296296297294297297296296296297296297297296296295295294294294294294294294294294293294293292292293294294293293294294294294295294295295294294295295296296295295295295295295297297297299298298299298298299298298296296295296296999999999294297298296297297300301301300300300300300301300303300300300299300300299298298300299300299299298298298298298298296296296297295295296295296296298295294294295294293293290291290999999999999293294296300297296289999298301302999999999999999999999999999999999999999299300300302301301301300299300301301301303302301301301301299300301300302302302302301300302301302302300300301302302301301301301300302301301301301301300300300301299300300300300300300301301302302303303302303304303301301302301301302302302302301300300300301301303302302303302301302302302302302301301300301301301300300300301301301301300300301299300300300301301302302302302303303303303303303304304304304303303303303304305304305304304304305304304304304304304303303303303302303302302303303302302302302302301302300302302302302302302302302302301301301301301301299300300299299300299300299299297297299299300299299299298300301299299299299300299299299299298299299299300301301301301300301300301303301301302301300300300301300300300302301301302301300300301301301301301301301301301302301302301300300301301300300300301302301302301301301300300299300300300299299299298298298298298298299299298298298298298298298298298298297298298298297297297297297298297297297297298298298298298298298298298298298298298299299299299298298299299299299299298299299298299298298298298298298298299299299299299298298298298298298297297297297296296296296295296296295295296296296296295296296296296296295297296295295296296296296296296297297297297297297297298297297297297297296296296296296296296296296296296296296296296296296296297297296297297297296297297297297298298297297297297297297297298298297297297297297297297297296296296296297297297297297296297297296296296296296295295295295295296295295295296295295295294294294294294294294294294293294294293293293292292292292293293293292293292292292291291291291290289289290289289289288288289289289288289289289290290290290290290291 999297294299296296297295297296298299298300300301301301301299300299298298295295295296297295294295295294296296295297297295295295294293293293293292291293294294295292293294295296295294294296295295295295294295295296296295295294294293291293292294294295296295296296296295296295295295295294295295296294294296295296297296297295297296296296296296296294295294295294294293294294294295293293293293293293294294294293294293293294294294296296295295295295295296296295296295295295295298296298298298297297298299300296296296296296296295999294295295297296296298297298299300300300300300300301300300300300300301299300299297299299299299299299298297297297298297297296296296295294296295295295297294295295295295295292999999999999999999999999295298300299295999999999999999999999999999999999999999999999999999999999999999301301301301300300301300302300301301300302301302300300301301301302301301302301301301301300302302301301301301302300301301301302301301301302303301301301301300301300301301301301301302300300302301302302301301301301301301301301301302301300299300301302302302302302302301303303302302301302301300300300300300301301301301301300300300300300300299301301301302303302303302303303303303304304304304303303303303302303303304304303304303305304304304303304304303303303303303303302302302303302302302302302302302302303302302302301302302302302301300301300301300300300299300300300299300299298298297297298299299299298298299300299299299299299298298298299299299300300300301301301301300300299300302302301301300300300300300300300301301300301303301301301301301301302301301301301301302301302301301301301301301301300301302301301301301301300299299299299300299299298298298298298298298298298299299298298298298298298298298297298297297297297297297297297297297297297298298298298298298298298298298298298298299299299298298298299299299299299298298298298298298298298298298298298298298298298298298298298298297297297297297296296296296295295296295295295295296296296296296296296296296296296296296295296295296296296297297297298297297298297297297297297296296296296296296296296296296296296296297296296296296296296297297297297297297296296297297297297297297297297297297297297297298297297297297297297297296296296296296296297297297297297297297296297297296296295295295296295295295296295295295295295294294295295294294294294294294293294293293293293293293292293293293292292292292292292291291291290290290290289289289289289290289289289289290290290291290290290290291 999999294294296296296295296296297300300299301301301300300301299295299295296294295296294293294296293293293295295295295295295293293292290293293292292292293292292292294296294294293294294294295295295296296297296296296295295293292292294294292294294294294295296295296297296296295295293294294294293294296295295296296296296296295296295296295296296295295295295295294294292294293292293294294292293293293293293292294294294295295295294295292295296295295295295294294293296296294296297297297298297298300299297296295296296295295294297294295296297297297296297302302300301301300300299299300300299299299299299300299298300300299298299299299297298297297297296296296296297296294296296295294295296297295297297295999999999999999999999999297299299299298999999999999999999999999999999999999999999999999999999999999305301301301301300299300301302300301302302302300301300301302302301302301302302302302301301301302302301301301301301301301302303303302301301302302302302301301301301301300300299300301300301301302302302301302301301300300300300300300300300301300299300301301302302302302302303303303303302301301300301301301301301301301300300300300301301300300301301301302302302302302302304304303303304303304304304303303303303303303304304304305304304304304304304304303303303303303303304304303302303303303301302302302301301303302302302301302302302302300300300300301300300300300300301300299300299298299299298301299300299299300299299300299299299299298298299299299299300300300300300301301300300299300301301301302300300300301300300302301302301302302302301301302301301302302302302302302302302302302302302302301301301300301301301301301301301299299299299299300300299298298298298298298298299299299299299298299298298298298298298297297297297298297297298297297297297297298297298298298298297297298298298298298299299299299299299299299299298298299298298298298298298298298298298298298298298298298298298298298297297297296296296296296296295294295294295295295296296296296296296296297297296296296296296296296295296297296297297298298298298297297297297297296296296296296296296296296296296296296296296296296297296297297297297297297296296296297297297297297297297297297297297297297297297297297296297297296296296296296296296296296296296297296297297297297297296296295295296296296295296295295295294294294294294294294294294294293293294293293293293293293293294293293293292292292292292292292291291291290291289289290289290290290289290290290290290291290290290290290290 999999999293296295296295294298299299300300299299300300299298298297296294296296293295295294295295293292292293292293293294296294294293292291293294293292292293293292294293294293295294295296296295295296295295296295295295295296293295293293293296296297294295296296297297296295296294294294294295295294295295295296296296296296295295295295296295297295295295293294294295294294292293294294294293292293292293294291294293295295295296295293294295296295296294293295295296295296296297297296297297296297298297297296295296296294296295999296297296297298297297299301302301300300300299300300302299299298300301301300299299298299300299299299298297297296296297297296297297296295295295296294295292295295296299298297999999999999999999999999299300300295999999999999999999999999999999999999999999999999999999999999999301299301301300300302301300301301302302301301301301301301302303302302302301300302302302302302302302302302301301301301302302301302302302302302302303302302301301302300300300299300300301301301301302301301302302301301300301300300300300300301299299300300302302302302301302303302303302301301301301301300300300300302301299299300300301300301301301302301301302302302302303304304303303303304304304305303303303303303304304305305304304304303304303304304304303303303304304304304303303303303303303302302302302302302302302302302301301301301300300300300300302301301300301300300299300299299299298299301299300301301300298298299299301298299299299300299299299300300300300300301302301301300299301301301301301301301300300302302301301301301303302302302303302302302302302302302302302303303303303303302302302302301301301301301301301301299299298298299300299298298298298299298299298299299298298298298298298297297298298298298298297297298297297297298298297298298297297298298298297298297298298298298298299299299299299299299298299299298298298298297297298298298297298298298297298299298298298298298298297297296296296297296296296296294294295295295296295296295296296295296297296296296296296296297296296295296297297297298297297297297297297296296296296296296296296296296296296296296296296296296296296296297296297297297297297297297297297297297297297297297297297297297297297297297297297297297296296296296296296296296296296296297297297297297296297296296296296296296296296296295295294294294294294294294294294294293293293293293294293293293293293293293294293293293293293292292292291291291291290290290291291291291291291291290291291291291291291291291291291 999999999296297297297297294298300300302300297298299298298297297295295295294294294296295294294293292292291292293294294295295295293294293290291293294293293293292292291292292293293294296296297296295297296296296295293295295294291290293295293294294294294295295296297296296295296294293294294295294293295296296296295295295296296296296295295295295295293294293293295292294293294294295294292293293294293294295294292293295294295294294292294296295297294295296296297296296296297296295296296296298296296295297296297299300297293294296297297296296296300298299301303300300299300299301301300299298299298302302301298298299299299300298299298297298297296296296295296297296295295297297294295294293294294298296999999999999999999999999999294294999999999999999999999999999999999999999999999999999999999999999999999999299300301301301301302301301301301302302301301300301301302302301300302301302301303302303302302301301302302302302302301301302301302302302301301301303302301301300300300299299300300301302300301301301300302301301301301300301302301301301301299299300300301301302302302301302303303301302301301301300300300301300299300300299300300300301301301301301302301302301302302303303303303304304304303303303303303303303304304304303305305304303303304303303304303303304303304303304304304304303303303302303302302302302302302302302302301301301300300300299300299300299302300299299299299299299298298298298297300300299299299300301299300300301298298299299299299300300300300301301301301301301301300302302300302301301300301301301301301301301302303302302302303303303303303302302302302302302302302303303302302302302302301301301301301301300299299299298299299300299298297298298299298298298299298298299299298298298298298298298298298298297297297297297297298297298298298297298298298298298298298298297298298298298299299299299299299299298298298298298297297298297298297297297297297298298298298298297298298297297296296297296297295296295295295295295295294294294294295295295296296297296296296297297296296295296296297297298298298297297296296297296296296296296296296296296296296296296296296297297297296296296296296297297297297297297297297297297297297297297297297297297297297297297297297297297297296296296296296296296296296296296296297297297297296296296296296296296296295296295295295295294295294294294294294295294294294293293293294293294293293293293292292293292292293293292292292292291292291291290291291292291291291292291291291291291291291291291292291291 999999999298299298299299298298300301303301300298297297296295295296294292292293293295295297295294294293292293293294296296296295295294293291292292296293293292292292291292293292293295295295295293295297296296295295295294296296296294294294294294294294298294297296297297296295295294298295294294294295295296295295295295296295296296294295295295294295295294292295295291293293294294294293293293294294294295296294295295295294295295294294295294292294296296299295295295295295295295295295295296296299297299297296296295297297297296296294297298297297297298297298299300300300299300301300301299298299299299299298298299298299299299299298298298298297296296296294296297296296295297295296295295298999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299300301301301302302301301302302302303302302302301302302302301301303301303304304303303303303301302302303303302302301302302301302303303302301302301301300300300300301300300300300301301300300301300301301301301301300301301302302301301301301300300300301302302302301301301302301302302302301301300301301300300300301300300300301301301302301302302302302302302301302303303303303303304304304304303303303303304305304303305305304304304304303303303303304304303304304304303304304304303304304303303302302301301302301301302301301301300300300300301301300299301302301301299300299299299299298299299299300300299299298300299299298299300299298298299299299300300300300301300300302301300300299300300299299300301301300301301301301302302302303302302303303303303303303303302302302302302302302303303303303303302302302301301302301300300299299299299299299298299300298298299298299298298298298298299298298298298298298298298298298298297298298298297297298298298298298298298298298298298298298298298298298298299299299299299298298299299298298298298297297298298298298297297297297297298298297297297297297297298297296296297297295296295296295295295294295295294294294295296296296296296296297297297296296296296296296297297297297297297297296296296296296296296296296296296296296296296296296296296296296295296296296297297296296296296297297297297297297297297298297297297297297297297297297297297296296296296296296296296296296296296297297297297296296296296296296296296296295296296295295294294294294294294294294294293293293293293293294294293293293293292292292293292292293293293292292292292292292291291291292292291291291292292291291291292291292292292292292291 999999999299301299299299299299299300302300298297298296294296295296294293293292294294293294293293294294294294294295296297295296295293294293292292294292293292291292292293292295293295295295295295296298297298297296296295294296295294295294294295294295294294296296297297298296294294294293294293295294295295295294295295294295295294296295294292295295294295294294292292293294294294294293292293293294296295295295294294293293294294295294294294294293299294299295295294294294295294294296297296296299297297294294295296297297999294294297298297298297298298298299298299302297300300300300299299300301299299299299297298298298299299299298298298298297296296296295296296294295294295295294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301302301301302301301301302303303303302302302302302302301301303303302303304304303303302302302302302302303302303301303302302302302302302301301301300300300300299300300300301300300300300300301300300301300301301300300301302301301301301300300300301301302303302302301301301301301303301301301300300300299300300302301302301301302303303302303302303302302302303303302303302304304304304304304304304304303304305305305305305304304305304304304304304304304303304304304303304304303304304304304303302302302301301302301301301301301300301300300300301300301300301301301299300300299299299300299299300300300300299299299299301300301301299299298299299299300300300300300300300300301300299299299299299300300299300300300301300302302303303303303303303303303303303303303303302302302303303303303303304303302302302301302302301301301300300299299299299298298299299299299298298299298298299298298298299298298298298299298298297298298298298298298298298297298298298298298298298298298298298298298298298298299299299299299299299299299298298298298298298298298298297297297297297297298298298297297297296297297296296296296296296295295296296295295294294295294294294295295295296296296296296297296296296296296296297297297297297297297297297297296296295295296296296296296296295296296295295296296295296296295295296296296296296296297296297297297297297297297297297297296297296297297297297297297297297296296297297297297297297296296297296297297297296296296296296296296296296295296296295295295295294294295295294294294293294293293294293293293293293293292292293293293293292292293292292293292292292292293292292292292292292292292292291291291292292293293293292292292 999999999299300299299300298298299298298297296295297296294294294295295294293294293293295295292294294294293293294294294294294293294292291291292292292293293292292293293293293295295297294295296295296297297298298297296295295295296293295295294294294295295295295296297297297296296296295295296296295296296295295296295295294294295294296296295295295295294295294294292292292293294293295294293293293295295293294294294294294294294294294293293294293298297300296293292293294294295294293293295294294299296296297296295295295294297297297296296298298297298299299299298299299299300300300299301301300299299298299299299299299299298299298299298299298297295297295297294295294294294296295293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301301301301301301301302302303303303302302302302302302303302302302303303303304303303303303302304302302303303302302302302302302302302302302300302301302300300300300300301301301300300299300300300300301301301301300301301301302301302302301300300301302303304303302303301301300301301301302301301301301300301301301302301302301302303303303303303303303303303303303303303303303303304304304304304303304304303304304304305305304304304304304304304305304304305304304304304303304303304304304304304303303302302301301302302301301301301300301301302301301300302300300301301299301300300300301299299300300300300300298299300299299301299300299300299298298299299299300300301300300300302300299299299299299299300300300301301301302303302303302302302302303303302303302302303303303302302303303303303302303303302302301301301301301301301300300300299299299298298299299298298298298298298298299298298298299298298298298298298298298298298297298298298298298297298298298298298298298298298298298298298299299298298298298298299299299299298299299298298298298298298298299297297297297297297297297298297297297296296296296295295296296295295294297295295295294294295294295295296296296296296296297297296296296296296296296297297297296297297297297297297296296295296296296296296296296296296295295295296295295297295295296296296296296296296296296296297297297297296296297297296297297297297297297296297296297297297297297297297297297296296297297297297297297296296296296296296296296296296296295296295295294295294294294294294293294293294293293293293293293293292293293292292293293292292292293292292293292292293294292292292292293293293293292292292292292293293292292292292 999999999999300301299297297296296296296294295295296297295294294295297294294295296295295293294293293292291293292293293293291292292292292292291292292292291293293292292291292297298295292295295296294296294297297296295295297295294295293294294294295294295296296296297297296296296296296296297294295295295295296296294295294294294294296295296295296294294294292292293293293292292294294294293294294295294295294294294294295294294295296294295295294295297295296298295295294294295293297295296294299298299299297297296297295295298296296295296297298298298299300298298298298299299298299300300299300299299299299298299299299299298298297297300300298296296298296298293294294293295296296999999999999999302303999999999999999999299299299999999999999999999999999999999999999999999999999999999999999999999999999999999999999300301301301301302302302303303303303302302302302302302302302302303302303303302302303303302302303303303303302302300302302302304305304301302303302299302303301301301302301300301301301300300301301301301301301301301301302302301302302301300300301302303303304303303302301301300301301302301302301300301302301301301300302301303303303303302303303303303303303303303303303303303304304304304303303304304304303303304304304304305305304304305305305304305304304305304305304304304304304304304303302302302302302302302302302301301300301302301301301301301301300300300300301302302301301299299298300300299300299298298300300299299298298299299298298298299299300299299300301300301301300300300299299299300300300300300300301301302301302302302302302302302303302303303303303303303303302303303303303302302302302301301301301300301301300300299299299298298298298298298298298298298298298299298298298299299299299298298298298298298298299299298299299298298298298298298298298298299299298298298299298299299298299298298299299298299299299299298298298298297299298298297297296296296296297296297297297297296296296296296296296296296296295295295295295295295295295295295296296296296297297297297297297296296296296297297297297297297297297297297296296296295295295296296296296296296296295295295295295295296295296296296296296296296296296296296297296296296297297296296297296296297297297297296296296296297296297297297297297297296296297297297297297297296296296296296296296296296296296295294295295294294294294295294294294294293294293292292292293293293292293293292293293292293292292292293292292292292292292292292293292293293293293293293293293294293293292292292292 999999999999299300300295294293294294292295295296297295297296297298298295298297296296296294293292291292292292293291291291291291291290291294293292293294293292292290292292292292292294293295295296295296296295296296296296297295295294292295294294293294295295296296297295295295295295295296294293294292293295294295293293293294293294294293295294295293294292292293294292291292292292293293293293294295294293294294293294293293295296295295294294295297295296295296294295295294295294294295293296298298298298296297296296297297298298298297296296300298300299299298298297298297298299300299299298299299299299299298299299299299298297298298299299297297297296296297294293294295295295292999999999999304301300999999298294999999296295295295294294999999999999999999999999999999999999999999999999999999999999999999999999999299300301301301301302302302302302303302302303302302302302302302303302302302302302303303303303302303302301303303302302302303303302304302301302301302302302302302302301302301301301300300300301301302302302302301301301302302302302302300300300300302303304304303303302301301300300300302301301301302302302302301303301301302303303303303303303303303303303303302303303303303304304304304304304304305304304303304305305305305305305305305305305305306304304304305305305304304304304303304303303303303302302302302302302302302301302302301301301301301301301300301300302303303300300300299299300301300299300299300299301300299300299297298299298298298299298299298299300300300300300300300299300299299300301300299299300301302301301302301302302302302302303303303303303303303303303303303303303302302302302302301301301301301301300300300299299298298298298298298298298298298299299299299299298298298299299299299299298298299298299299299299299300299298298298298298298298298298298298299299299299298299299299298299298298298299298298298298298297297298298298298297297297296296296297296297297297296296296296294295295295295295295295295295294295295295295295294295295295296296297297296296297297296297296296296296297296297297297297297296296295295295295295295295295296296296296295295295295295295295295296295295295295295295296296296296296296296296296296296296296296296296296297296297297296296296296296296296297297296296296296296296296297297296296296296296295295295296295295294293295293293294294295294294294294294294293292292292292292293292292292292292292292292292292293293292292292293292292293292292292293292292292292293293293293293293292292291292291 999999999999297299300291292291291293293293294295296296296298299298298298296298298296296296295292292294293293293292291293291291291291291293292292292292291291290291291291293293290291293293294295296296297296296295294296296295294294293294294295295294295295295296296294293294294294294295293292292292292294294294293293293293293294295295294294293293293292292293293293292292292293293293293292291293294294294295295294295294295295292293292291291296293292293293293292293293293292294295295296296295297295297298298298299298298298298297298298298297299298300300301299297299299298300298299298298299299299299299299299299299298298297297298297297296298298297294293296293295296295287999999999304302302298999999296999999999295294294294295294294999999999999999999999999999999999999999999999999999999999999999999999999999300301300300301301301301302301302303301302302302302302302301301301302303302301303302302303303304304302303303303302301302303302302303303301301302301302302302302302301301301301300301301301301302302301302301301302303303302302301301300299299300302303303302302301301301300300300301300301301303303302301301300301302303302303304304303303303303303303303302303303303304304304304304304304304304304304304304305304304305305305304304305305305305304304304305305305304304304303303302303302302302302302302302302302302302301301302301301301301301301301301301300302303303301300299299299300299300299299298298299301298299299298298299299299298298299298298298299300300299300299300299299300300300301300300300300300301302302301301302302302302302302302303302302302303303303303303304303303302302302302302301301301300301301300300299299298298298298298298297298298298298299299299299299298299299298298298298299299299299299298298299299299299299299298298297298297297298298298298299299299299299299298298299299299299299298297298297298297297297298298298298297296296296296297297296296296296295296295295295295294295295295295295295295295295294295294294295295295295296296296296296296296296296297297296296296296297297297297297297297296296296296295295295295296296296296296295295294295295295295295296295295295295295295296296296296296296296296296296296296296296296296296296297297297296296296296296296296297297296296296296296296296296296296296295296296295295295296296294294293294294294294294294294293293293294293292293292292292291292292292292292292292292292292293292292293292293292292291292292291292291292292292292292292293294293292292291292291291 999999999999999297297293291291290294295293296295297295296297298299300298297297296295297296296296294294294294294293292292291292291291292293293292292292291291291291291292291291291292293291293295297297297296296295295296295295294294292292295297295295295295295294293293292293292291292293292292292295294295293294293293293293294294295294294293293293292292291293292293293293292292293293293294293293294293295296295295294295294292293291290294294293293293292292292292295296293294294294295295296295294295297301300299301299299298298299298297297297297299299299299299300299298298298297298298299300298299298299299298299298297298296297297296297296299297296294294294293293294294287999999303301301301297296298298295295999294294293294295294295999999999999999999999999999999999999999999999999999999999999999999999999999299300300300300300301301302301302301301302302303302302302301301301302303303302302303303304303303303304303303303303302303304302303303303301303303301302302302303302301300301301300301301302302302302302301301301302301301302301301302301302302999303303303302301301301301301300300301301301302302302302301301302301301302303303303303302303303303303304303303303303303303304304304304305304304304305305303304304304304305304305305305306304305303304304304304304304303304303303303303302303303302302302302301301301301301301300301301300301301301302302302298301302301302302299298299298298300298297299299298299301300299299299299299299299299299299299298299299300299300300300300300300300300301301300300301302300301302301301301302302301302302302302302303302302303303302302303303303303302302302301301301300300301300300300300299299299298298297297298298297298299299299298299298299298298299299298298298298299298299299298299299299298299300299298298298298298298298299298298299299299299299298299299299299299299299299298298298298298298298297297297297297296296296296295296296296296296296295295295294294294295295295294295295295295295294294294294295295295295295295296296296296296296296296297296297297297297297296297297297296296296296296296296296295296296296296295295295295295295295295295295295296296296295295296296296296296296296296296296296296296296296296296296297297297296296296296296296296296296296296296296296296296296296296296295295296295296295295295294295294294294294294294294294294293293293293293293292292291291292291292292292292292292292292292292292293293292293292292292291291292290292293293294293292293292294293292292292292292 999999999999999298295292293295295295294293296295296295296296297298299298298299299299296294296295293294293293292293293293292291290291291293295291291291292292289291292292292291293292293293294295293296298297296295296293294293294293294296295296296295295295294295294292292293292290291291292290294295295293294293293293293293293292293293293294290293294294293293292293293293293293294292293294292293293294295296295296296294294292292291292294293293293295293296295294295293294293294295297295295295295297298300302302299301299298297297298299298297297300298298300300300299299298299298298298298298299298298298299299296298297298296299298296297297298298297295293293292290289291999999999999299300299297999294295295295294294294295295296294293294999999999999999999999999999999999999999999999999999999999999999999999999298300300300300300301301301301301303301302301302303302302302302302301302302303303303303303303304304304304303303304303303304303302302303303303303303302302302302302302300300300300301301301301301302302301301301301301301301301301302303303301303303302302300301300301300300301301301302302303303303302302303303302302302302302303302303302303304303303304304303303303303303304304304304304305304304305304304303304304305305305305305305304305303304304304304304304303303303303303302302302302302302302302301301300301300301298301301301302302301302303303300300302301301302298299297297298298299298298300299300301301299299299299299299300300298298299299299299300300301300302301299299299300299301300300300301301300301300301301301302302301302302302302302302302303302302301302302302303303302301301301300300300300300300300300299299299299299298298298298298299299299299299298299299299298298299298298298299299299299299299299299300299299299299298299298298298298298299299298299299299299299299299299299299298299298298298298298297298298298297297297296297296296296296295295296295295295295295294294294294294295295295295296295295295295295295294295295295295295295295295296296296296296296296296296297297297297297297297297297296296296297296296296295296296296296296296295295295295295295295295295295296295295296296296296296296297296296296296296296296296296296296297297296297297296296296296296296296296296297296296297296296297297296296296296296295295295295295295295295295295294294294294294294294293293293294293293293292292292291291291292292292292293293292292292293293293292292294292292292293293292292294293294293293293291293293292293293292293 999999999999999304295299298298299296296296296297298297297298298296298299300301300297295296295297294294292293295294292291291290291291296294294293292291292292290293293293293293294294295294295292295295295295296298295294294293293294294295296293293295295295294296295292293293291291296296295296295293292293293293294293293293292292293292293293293293293294293293294293292293293293293293294294293293293292295296296296296295294293294290291292292292291291292293293299294293295294293296296298296297297295301305305302302303298999999298298298297297298300300299300298299299299298299298299298298300299298298297298298299298298298297298298298298298298298296294293292292291285288999999999300299299299296294293295296294293294294294294294295293293999999999999999999999999999999999999999999999298999999999999999999999999298300300301301302301301301302301301301301302302302301303302302302302303303303302303303303304305305305305305305304305305305304303303304303303302303303302302302302301301300300300300301301303302302301302301302301300301302302302303303304302302302301301301301300301301302301301302303303302303303303304304304304304304303303304303303303303304303303303303304304303304304305304304304305305305305305304304304304304305305305305305305305304304305305304304304304303303303302303303303302302302302302301301301301301301301302302302302302303303303303302300300299300301301299297297299300299297299298299298298300300299299299299300300300299299298299298299298300301300300301302299300299299300301300300300300300300300300300301301301301301301301302302302302303303303303303302302302302302302301300300300300300300300300299300299299299299299298298298298298299300300299300299299299300299298299299299298298299299299299299299300300300300300299299300299299299298299299299299299299299299299299299299299299299299299299299298298299298298298297297297296296297296296296296296296296296296295295294295294294294294294294294295295295295295295295294295295295295295295295296296296296296296296296296296297297297297297297297297297297297297297296296296296296296296296296296296296295295295295296296296295296295295295296296296296296296296297296297296296296296296296296296296297296295296296296296296296296296296296296296297297297296297296296296296295296295295295295295296295294295295295294294294294294294293293293293293293292292292291291291291291291293292292292292292292293293294294293293292293294294293293294292294293293292292293292292292293292292 999999999999298297295297302300299297297299300300301298300298300297299298299294298294297297294297295291294296296296292291291292291292294294293293292291292292293293293293293294294295295295295295295294295295296297296296294293293293296294294295298296295295292295295294297295294295295294293294294291291294294293294294294293292292292294294293294294294294294294293293293293293292292293292294293293293294294293294294295295292292294294292291296297292292297298295293293296294294296297297296296296295296298297302304305301300999298298297298296297297299300299299298298299299299299298298298298297298298298297297297298298298298299298299299299299298298296294292293292288283999999999301299299298298296294293295296296296294294295295294292290999999999999999999999999999999999999999999999999295293999999999999999999298299300301302302303302302303303303301302302303303303303303302303302303303304303302303303303305304304304304304305304305305305305303303304304303303304303302302302302302301300300301301301302302302302302302302303301301302302302302302303304303302302301301301301301302303302302302302303303303303303304305305305304305304304304304304304303303304303303303304305304304304304305304304305306306306305305305305305305305305305305305305305305304304304304304304303304303303302302303303303303302301301301301301300301301302302301301301301301303302303303302300300300301301301300300298299300300299300298300298298298298298299299299299299299298297298298298299299300301300301301301301300301300300301301300300300300299299299300301301301301301301302302302302303303302303303303303302302301302302300300300300300300301300300300300299299299299299299299299299299299299300300300300300300299299299300300299299298299299299299299299300300300300300299299299299299299299299299299299298299298298299299299299299299299299299299299299298298298298297297297296296296297297297297296296296296296295295295295295294294294294294294294295295295295295295295295295295295296295295295295295296296296296296296296296297297297297297297297297297297297297297296297296296296296296296296295296296295296296296295296296296296295295296296296296296297297297297297297296296296296296296296296297297297296296295296296297296296295296296295297297297297297297296296296296296296295295295295295296295295294294294295295294294294294293294293293292292292292292292291292292292292292292292292292293293292294294294293293294293294295293294295294295294293292293292291292292292292292 999999999999999999999299300301299297298297299300299301300299299299300298296297297293297297297297295295293295294295292293291292293294294294295295292293293293293292293293293295295298295294295295295295295296297297297297294293293294294294296297295295297294293295295294295294293292292292292292293292293293294293293294294293294294293295294293293295295294294295294293293293293293293292293293293293294294295294292295294294295295295296294293294292291298299293298293293297296295295296296297295295298297297299301299300298301300299296296296297297298299301299298297296298299299299298298298299298298298298298297297298298298298299300300299299299297297295296295294291288283999999999301298297297298296295295294295296296295295295296294291999999999999999999999999999999999999999999999999300999294296999999999999299299300301303302304303303303303303303302302304303303303303303303303303303302303303302303303305305304304306305305305305306306306305305304305304304303303304303302302303302301301301301302302303303303303303302303303302302302302303303302300303303302302301301301301302303302303302302302303302303303303304304305305305304304304305306304305305304303303303304305305304305305305305305305305306307306305306305305305305305305305305304304305305305304304304304304304304302303303303302302302302302302302302301301301301302302302301301301302303302302302302301301300300302302303300300299299300301301300299299299298298298299299300299299299299297297297298299299299300300300300301301301300300300301300300300300301301299299300300301301301301301301302302302302302302302302303303303302302302301301301300300300300300301300300300300299299299300299299299299299300300300299300299300300300300300300300299299298299299299299299299299300300300300299299299299299299299299299299298299298299299299299299299300300299299299299299299299299298297298297297297297297297296296297297297296296295296295295295295295294294294294294294294297297295295295295296295295296296295295295295296296296296296296296296296296297297297298297297296297297297297297297297296297297296296297296296296296296296297296296296296296296296296296296296297297297297297297297297297297297297296296297297297297297297297296297296296297296295296296296296296296297297297297296296296296296296296296295295295295295295294294294294294294294295294294293293293292292292293292292292292292292292292292292293293293293292294294294293294294294294294293293294292294294292292293292291291292292292292 999999999999999999999999294295295294295292294300300301297299299298295302299294297297297297297297296298296295294292292293292293295294293294296295293293295294294294295297295295295297296294295295294295295295298299296294293292293295295295295296296295293295295296295295294293293291292290291291291291293292294294294294293295294294293293292293292294295294291294293293292293294293294293293293293293294293295295295295294293294294295295293290293290292289293292293291296296296299292295294296294298296297299300299999302301300999298299297297298296298299298298298297297298299299299298299299299298299298298299297299299299298298300300300297300300299298296295295295290289287285999999293295297297298296297296295296295295294295295295293291999999999999999999999999999999999999999999999301299999298300999999999300299300301302302303303303303303304302303304303303303304304304303303303304304303302302302304304305305305305305305306305306306306306306306305304304304304305304303302302302302301301301301302303303303303302303303303302302303303303303302301303303302302302302302303302303304303303302302302303303304306306305305305305305305305305305305306305305305304304304305306305305305305306305305305305306306305306306306305305305305305305305305305305305305304305305305305304304304303303303303303303303302302302302301302301302302302302302302302303301303302303302301302301301302300301301302302301300300301298300299299299299299299299300299299299299298297296298298299300300301301300300300301301300301302301299300301302301300300300301301301301302301301302303302302302302302303303302302302302302301301301301300300301300300300300300300300300300300300299299299300300300300300300300300301301300300299299299299299300300300299299299299299300300300300299299299300299299299299299298298299300299299299299299300299299299299299299299299299298298298298297297297297297297297297297296296296296296295295295295295294294294294294294294295295295295295296296296295297296295295295295295296295295296296296296296296296297297297297297296297297297298297297297296296297296296296295296296296296296296295296296297296296296297297296296297297297296298297297298297297297297297296296296296297297297298297297296296296296296296296296296296297297297297297296296296296296296296295295295295295295294294294294295294294295295294294293293293293292292292292292292292292292292292293293293293293293293291293293293294294294295294294294294294294293292294293292292292293292291291 999999999999999999999999999999296296296999297300298297296296297295295295297295296295295295295295297296292294294295296299299298297295295294297296296295294294294295295295294295294294294294294294293295296294298298298295295295296295295295294296295296296297295295293293293292292291291292291291293292293294294294294294294294293295293292293292293295295294294293293293295294294295295295293294292292293295294292294294294294293294296293294294292297293295293293296296296294298294295295294295296297299298298298298999299299999999302300298297297298298299298298300299298298299299299298299299299297298298297297297298299298299298299299298298300300298297296295291287288289288286285286289293297296296297297297295296296297298296295294294292999999999999999999999999999999999999999999301300299299299299295999301300300301300301300302302303303303303303304304303303303305305304304304303304304305303303303304305306305305305306306306305306306307306306304304304304304303303303302302301302302302301301302302303302303304303303303303302302303303303302302302303303303303302302302302304303303303304304303303303304304305305305305305306305305305305304305306304304304304305306305305306306305305306304305306306306306305306306306305305305305305305304304304305304304304304305304303304304303303304304303304303303302302302301302302302302302302302301302302303304303303304303302302301301302302302302302302301301303301300300300299299299299300299300299300300300299300300297298299300300301300300299300301301300301301301299299301303301300300301301301301301302301301302302302302302302302302302302301301302301301301302301300300300300300300300300300300300300301300300300300300300300300300301301300300300300300299299299300300300299299300299299299299300300300300299300299299299299299299299300300999999298299299299299299298299299299299299299299299299298298298297297297297297296296297296296296295295295295295295295295295294294293294294294295294295295295296296295296296297296295295295295296295296296296296296296296297297297297297297297297297297297297297296296296295296296296296296296296296296296296296296296296296297296297296296297297297297298297298298297297297297297296296296296297297297296297297297296296296296296296296296296296296297297296296296296296296296296296295295295295295295294294294294294295295295294294294293293292292292292292292292292292292292292293293293293292292292292292292293292292293293293293293293293292292293293292292291292292291291291 999999999999999999999999999999999999999999999999297295296295295297295298299294297295296294295297294295294293295295295298295295298296296295295295295295294295294295294294294294293294294292292293292292292293293295293295295295295295295295294294294295295296293293292292293292291291291289291290292292293294294293295294293294294294293292291293293294294293294292292292295296295294294292292291292291292293293293290293291294291294292292294294292292294294293295293296296296298292297295298296296298300300299298999999299299999999301297301299297297298299300299301297299298299299299298298298297297296295297296297298297299299298299301299298299299294295292288286285287287286285284284287291294296297297297296295295297298298296295294294290999999999999999999999999999999999999999999300299299300300300298999303301300301301301302303304304304303304305305305303303304305305305304303304304304304304303304304305306306306306306306307305307306306306306307305305304303303303304303302302302302302302302302301303303302302304303302303304304303304304304302302303303303303303303302303303303304304302304304303304304304305306305304304305305304304304305304305304304305305305306306306306305305305305305305306306305306305306306306305305305305305305305305305305304304304304304304304304304304304303303303303303303303303302301302302301302302301302302300302303304303302303303303303302302301301302302301302301301301301300301301300300300299299300300300300300298298300299299299299300301301298300300300300300300300301301300300300301300300300300301300301301301301302301302302302302302302301301301302301301301301301301301301301301300300301301301300300300300300300300300300300301300300301301301301301300300300299299300300300300300300300299300299300300300300300299299299299299299299300300301299299300299299300299299298299299299299299299299299299298298298298297297297297297296297296296296296295295295295295294295295294294294294295294294294294294294294295295295295295296296296295295295295295296296296296296296296296296296297297297296297296296296296296296296297297296296296296295296296295296296295296296296296296296296296297297297296297297298298298297297296297297297296296296296296297297296296297296296295296296296295295295296296296296296296296296296295296295295295295295295295295294294295294293293294294294294293293293293292292292292291291292292291292292292292293292292292291291292291292292292292292292293292293293293292292292292293292293291292290290290 999999999999999999999999999999999999999999999999999295296297298301298298298291295296299297297297298299293297295295296295295293298295295295295295295295294294294295294293294294295294294294293291292291292292293292293294294295295294295295294294294293295294293293291292291291290293290290290289291292292293293293293294294293293293292293293292292294294292292290292293290295294294294293290290291290291293292291291293293294294293292291294294293291292293295295292295290294294294294294294297296298298300295297999999299999999999999300302297296296297298299301298298297298299299298296297296295295294297297296296296296299298298298298297298297296291291288288287286286285285999999999285290295297298298299295294296297297298297294294292291999999999999999999999999999999999999999999300298297298300301299999301301300302302302302301302303302302301302304304304304303304304305304304304304303304303303304304305306306306306306306304306306306305305305306306305304303303303303302302302302302302302302302302302303303304303302303303304303303302304303303303303304303303302302301303303303304303303303304303305304305305305304304305305305305304304304305306305304306305305305306306306306305305305305306306306306306306306306306305305304305304304305305305304305304305304304304304304304304304303303303303303303303303302302302301302303302301301302301304304303302303303303303303302302301301302301301302302301301301301301300300299300299300300299298300298299297300299299299299300300301300300299299300300301300301300301300301300300300300300301301301301302302302301302302302302302302301301300301301301301301301301300301301300301301301301301301300300300300300300300300300300300300300300300300300300300300299299299300300300299300299299299299299298299299299299299299299299299300300300300299299299299299299299299298299299299299299299298298298298298298297297297297296296295296296296296296296295295295294294294294294294294294294294294293295294294294294294295296295295296296295295295296295296296295296296296296296295296296296296296296295295295295296296296296296296296296296296296296296296296296296296296296296296296297296297298297297297298298297297297297297297296296296296296296296297297296296296296296296296295295295295295296296296296296295296295295295295295295295295295295295294294295294293293294294294293293293293292292292292292291291292292292292292292292292292292291291291292291291291292292292292292292292292292292291292292293293292292291291291291 299999999999999999999999999999999999999999999999999296298298299300297298298296298301297300299298297297293294295293293295294294294293295295295294295295295295295295294293293294294295295294293291292293293293293293294294294295294294295294293292293293294294294292291291292292290290290290290290292291292293293293294293293294294294293292292292293294293292291292292292292293294293293292291292292290292293291293292294292290292291291290291291291294294295297293294295294295295295295293301297296296300300299999999999999999999999999999999297295294295297299300298298297300297298297296296295298297296295297296296297297298298298297297299296294290291290288288287286285285283999999999292294297300297297296295295295295298296295296294293292294999999999999999999999999999999999999999999297297297299301300999299300300302303303304303303302302302303303303304303303303304304304304304303303303303303303303304304305304305304304304304304304304304304304304304303303303303302302303302302301301301302302302300302302302301300301301301302302302302303303303303303303303302302302302303304303303302302302302303304304304303304304303304304303302303304304304305304304304305305305305305305305305305305305306305305305305307306306305304304304304305305305305304304304303304304304303304304304303303302302302303303303302301302301301301301301301301301302302303303304304302302301302302302301302302302301301301301302301301301300300300300300300300300300300300300299299299299300300299299300301299299299300300301302300301301300300300299300300300300300300301301301301301301301301301301301301301300300300301301300300301300300300300300300300300300300300300299300300300299300300300300300300300300301299299299298299299299299299300300299300299299299299299299299299300299300299299299299300300300300300300299300299299299299299299299299299299298298298298298298298297298297296296296296296296296296296296295295295294294293294293294294294294294294294295294294294294295296296296296296295295296295296297296297296295295295295295296296296296296296296295295295295295296296296297296297295296296296296297297297296296296296296296296296296297297296297297297297297297297297297297296295296296296296296296297296296296296295295296295295295295295295295295295296296296295296296295295295295295295295295294294294295294295294294294293294293293293292293292293292292292292292292292292292291292292292292292291291291291291291291291291292292292292292292292292292292293292292291291291290 299999999999999999999999999999999999999999999999999999296294299298296297298297299298301300298300299298295294294295295295295294293293294295295295296296295295295295294294294294293294295293295292293293292293293294294293295295294294295294292292293294294295294293292292292291291290290291292291291292294294294293292293294294294295293294293292292293293292291290291291292294293293293293293292289291289293292293291290290290291290291292293295295294296295294295292294293295295295294291296295299299300301300999999999999999999999999999999999999295295298298300298298296298299299295296296295298295295296298296295296296297297297298297294292289289290291289287287288288286286999999294293297298299297296296296294294296297296297298295291293999999999999999999999999999999999999999999999999297298298300299999299301302303303303305304302304303304303304304304303304303303304304304303302303303303303303303304304304305305303304304303304304303303303302304304304303303303302302303302302302302301302302302302303301302301301301302302302303302302303303303303302302300300303302302303305304303302303302302303303303303304304304304304304304304304304304304305304304305305305306306307306305305305306306305305305305305306306305305304304304304304305304304304304304303304304303303303303303303302303303302302302303302302302301302302302301301302302300302303303304303301301302302302302301302301301301301301302302301302301301301301300300300300299300299299300300299299299299300299298299300300299300301301301302301301300299299299299299299300300301300301301301301301301301301301301301302301301301301301301300302301301301301301300300300300300301301300300300300300300300300300300300300300300300299299299299299299298299299300300299299299299300300299299299300299299299299299299300300300300300300300300300300299299299299299299299299299299299299299298298299298297297296296296296296296296296296295295295294294294294293293293293294294294294295296296296295295295296295297295295295294295295296296295295295295295295296296296296296296296296295295295294295295296296296296297297296297296297297296296297297297297297297296296297296297297298297297298297297297297297296297296296296296296295296297297297296296296296296296295296295295296296295295295295296296295295296296296296296295295295295294295295295295294294294294293294293293293293293292292292292292292292292292292293292292292292292293292291291291291291291291291291291292291291292292292292292292291291291290290291 300999999999999999999999999999999999999999999999999999999294300298297297297297298299298302297299299298297294294294295295296294294292293292295295296295295296296296295295295294294294292294294293294294293294295295293293294294294294294294294294294294294294293293292292292292291290290290291291292294292295294294293293294294295295294293293292294293293292291292292292293294294293292291293293294290290289291291291291290290291291292295293295296296292293293295293294294293294293293294297299297299301999999999999999999999999999999999999999999296297298298299297300299297299295296296296296297296296297298295295294294297297297296294289288286286288289288289289288287287286287291295295297297297297299296297296296297297298297297295294295291999999999999999999999999999999999999999999999298298299299300299299301302302303303303303302303304305304304304305304304304304304304304304304304304303303303303304304304305304305303303303304304304304304303303304304303303302303303303303302301301302301302302302302302302301301301302301302302302303302303303303301301301302303301302303304302302302302302302303302303304303304303304304304304304303304304305305305305305305305305306305306305306306306306305305306305306305305305304304304304304304304304304304304304304304304303303303304303303303302302302302302303302303302303303303302302301301301301302302302303303303302302302302302301302301301301301301301302302302301300301300300300301300299299300300300300300300299300299299299300300300300300301301301300301300300299299299298298299300300300301300300301301301301301301301301301301301301301301300300299301300300301301300299300300300300300300301300300300300300300300300300300300300300299299299300299299299299299299299300300299299299299299299299299300300300299299299300300300300300300300300300300299299299300300299299299299299299299299299299299299299299297297297296296296296297296296296295295296294295294294294293293294294294294294295295295295296296296295295295295295295295295296295296295295295295295296296296296296296296296295295295295295295295296295296296296296297296297297296297297297297297297297296297297297297297297297298297297298298297297297296297296296296296296296297296297296296296296296295295295295295295295295295295295295295295296295295295296295295296295295295294294294294294293294294293294293293293293292293293293292292293293292292292294292293292292292291291292292290291291290290291290291291291291292291292292291291291290291290289290 300300999999999999999999999999999999999999999999999999999999301299297298297296297299299299296299299295296297298295300294296295293295293293295295295295296295296296296295295294294294295297295297297295294295296296294294295293293295293293293293293293292293293292291293291291291290290290290290292292293293293292292292293292292294293293293292292292291292290291292292293291291292292292291290292291290290292289290289290291291292290295295295292293293295294294293298295294293294294297298301302303999999999999999999999999999999999999999999999297299299300299298299298297298296298297296296296297296295294294295294295295296295291288286288285286287289289291287286285285287292295296297297297298297298297297296296297298297296295293294296296296999999999999999999999999999999999999999999999298299299300299299302302304303304303304303304304304304304305306305305305305305304305305304304304304303303303302304303303305304304303304305305305305303303304304303303303302303303303303302302302302301302301302302302301302303303303302302301301303302303302301302301302302302301301302304302302301302302302303302302303302303303304304304304304304304303304305305306305306306305306305306305306306306306306306306305306305305305304304304304304304305305304304304304304304304303303303303302302302302302302302303302303303303302302302302302302301301302302303302302302303302302302302302303302302302301301302302302302301301301301301301301301301300300300301299300301300299300300300300300301301301300301300301301301301300300300300299299300299300300301301301301301301300301301301301301300301300301300300300299300300300300300299299300300300301301300300301300300300300300300300300300300300300300300300300300299299300300300300300300299300300300299299300300300300300300300300300300300300300300301301300300300300300300300300299299299299299299300300300299299299299298297297295296297296296297296296296295295296295295294294294293293294295295295295296295295295295295296296296296295295295295296296296296296296295295296296296297297296296296296295295295295295295295295296296296296296296296296297296296296297297298297297297297297297297298297297298297297297297297297297297295296296296296297296296296296295296295295294294295294294295295295295295294295295295295295295295295296296295295295295295294294294293293293294294294294293292293292293292292292291292292292292291292291292292293292291291290289289289289290290290289290290290290290291290290290290290289289290290288 300300300999999999999999999999999999999999999999999999999999999999999300297297296297297300298298298296294295299298300299299294296292291293295295295295295296296295296295296295295294295296294293295296294296296295294294293293294294294293293293292292292291292292291291291291291291290291291290292291291291291291291292291293292292291291292292291291292291292291290290293292292286290291290292292291291290291290289289290289289290288294294294292291296296292292297294294293293293294297300300299301999999999999999999999999999999999999999999301301300299299299298299298299298297297295295297296295294293294294294295293293293288285286290288285283284285286288286286286284289294296296297297296297296297296294295296296296296296295295295294295295296999999999999999999999999999999999999999999297299299299299300302302303303303304303303303304304305304305305305305305305305305305304304304303303303302303303303303303303305303303304305305304304304303303302302303303302303302303303302302302302301302302301302302301302302302304303302302301302301302301301301301302301302302301302301302302302301302302302302302303303302302304305304303304304304304303304305304305304305305305306305305305305305305305305305305306305305305304305305304304304305305304304304304304304304303303303303302303303302302302302302302303303303302302301302302302301301301301303302302302302302301302301302302302302303303302302301302301301301302302301301300300301300301300299300301302302301301301301301301301301300301300300300300300300300300300300300300300300299300300300301301301301301301301301300300300300301300300300299299299300299299299299299300300300300300300300300300300300300300300300300300300300300300300300300300301301300301301301301301300300300299299299299300300300300300300300300300300300300300300300300300300300300299300299299299299299299299299299299299299298298298297297296296297296296296296296295295295295295296295294294294295295294295295295296296295295295296295296296296295295296296296296296296295295295296296296296297296296296296295295295295295295295295296295295296296296295295295296296296296297297297296297296296296296297297297297297295295295297297297296295295296296296296296296295295295295295295295295295294294295294295295295295295294295295295295295295295295295295294295294294293294294294293293294294293293294291292292292292293292292292292291292291292292291291291291291290289289289289289290289289291290289290290290290290290290290290289290289289290 300300300999999999999999999999999999999999999999999999999999999999999999298297296297298300300298296294293293297298298299297296296292293294294295294295295295295296295295296295296297295295295296295295296297298297295296296295296295293295293293292294293294293293291292292293292292291292291291291291291291291291291293293292291292293292291292292291291291289291291291290289290290292292292291291291291290291290290289290288289291292293294294292290292291294296296292293294294297297297297300299999999999999999999999999999999999999999999999299299300298300300299299299298298296297296295296294295294294293293293293291292288286286288289289286283999289284285283282282286289293294295296297297296296294295294295295295296296296295294294294293294296296296999999999999999999297298999999999999298299299299299300301303304303303303304304304305306306305305305305305305305305305304303304303303303303303302303303303302303303302304303304304303303303302302302301301301301302303302302303301302301301301300301302302303303302302303303301302301300300300300301301300302301301300300302301302302302302301302301302301303303303303304304304304304304303303304304305304305303304304304306304304304305305305304305304305305305305304305304304304303304304304304304304304304304304303303303303303303303302302301302302302302303302301301301301302301301301302302302302302302302302302301301301302302302302301302303302302302302302302302301302300300301301300300301301301301301300301300301301301302301300299300300300299299299299300300299299300300300300300300300300300300300300300300300300300300299300300300299299299300300300299299299300300300300300299299299299300300300301301301301300300300300300300300300299302301301300300301301301301301300300300299299299299299300300300300300301300300300300300300300300300300300300300300299299299299300299299299299299299298298297297297297297296296296296296296296296296296295295295295295295295295295295295295295296296295296296296296296295296296296296296297296296296296296296296296296297297296296296296296296296295295295295294294295296296296296295295295295296296296296296296295296296296296296297297296296297296295296297297297297296296296296296296296296295295295295295295296295295295295295295295295294295295295294296296296296296295295295295295295295294293294294294294294293294293294292292292292292293293292292292292292292292292292292292292291291290290289289289289289289290290289289289289289289289289289289288288288288288288 300300300300999999999999999999999999999999999999999999999999999999999999300297295297299303301296296294293292295298299297297296294293292292294294293294294295295294295294295295297296294294295294295295296297297295295296296296294294293292293292292293292292293292292293292292292292291291291291291291290292292292292292293293292293292292291292292292292291290292291291291292292291293292292293291291290290290290290289290289290291293291293294294292292293290294294293293296296298296300299300300999999999999999999999999999999999999999999999999297295999302302301301300298298297297296296297296295294294293292292291291291285287288290291290287999999999999999288288289291291292294294295295296296297296295295295296296297296299298296294295296295297296298297296999999999999297298999999999999299299299300300302304305304304304305305305305306305305305306305305305305305306305305305305304304304303303302303303302303303303302305304304302302302302302302301301301301301301303302302303303302301300300301301301302303303302303302302302301302299300301301301301301302302302301301301302303301301302303302302302302303303303303303304304303304303303302304303303304306305303305305304304305305305305304305304304304304305304304305304303304304304304304304304304304304304304304303303303303303303302302302302303302302303302301301301301301301301301302302302302302301301302302303303301301301301301302302302302303302302302302301301301300301301301300300300301301301301300301301301301301301301300300300300301300299299299300300300300300299300299299299300300299300300300300300300301300300300300299299299299299300300299299299300299300300299299299299299300300301301301301301301301301301300300300300300300300301301300300301300301301301301300299299300300300299300300300300300301301300300300301301300300299300301301301300300300300300300300299299299299299298299298298298297297296297297296296296296296296296296295295296295295295295296296296296296297296296296296296296296296296297297296297297297296297297297296297296297297296297296297296295296296296296296296296296296296296296296296296295296296296297297296297296296296296296296297297296297297296295295296296296296296296296295295296296296296295295295296295295295296295295295294295295295295295295295295295295295295295295295295294295294294294293294293293293292294294294293292292292292293293293293292292292291291292292292291291291291290290290289289288288288288288289288288289288288288288287287287289287287288289 299300300300999999999999999999999999999999999999999999999999999999999999999297294296296299305302296294293294296296299298297297295294295295295294294295295295295294296295295294296296294294294295296295295297296296296294295295294294293292294293293292292291292291292293293292292292292291292292292292292291291292292292291291295292292292292291292291291290290291290291291292292292292292292292292291290290289290290291290290289292291292294294291292294292293293291291291292295296298298298300999999999999999999999999999999999999999999999999999999999999999303298300298298298297298297296296296295294293294290290290289288289288290291291289285283282286289291292293294294294293294294293293294295296296296295295294295295295296296295296297297299298298297297298295295296294291999999999999299299299300301302303304305304304305305305305305306306306305305305306307306306306305305305304304304304304303303303303302302302302302305304303302301301301301301301300301303301301303301300301301302301301300301300301301303303303301302301301301300301301301300300300301302301302302302302302302302301301302302303302302303303303304303303303303303303303303304303304305306305306306306304305304305304305305305304304305305305305305304304304304304305305305304304304304304304304304303303303303303303304303303303303302302303303302303302302301301301301302303302301302302302303303303303301301302302302302302302301302302302301301302302300301302301301301300301301301301301301302301302301301301302301301301301301299299299300300300300299300300299300300300300300300299300300301301301300301301301300300299300300299300300299299299299299300300300299299299299300301301301302302302302302302301301301300301301300300300301301300301300301301301300300300300300301300300300300299302300300300300301300301301301301300301301301300300300300300300300300299299299299299298298297298297297297297296296296296296296296297297296296296296296295296296296296296296296296296296296296296296296296297297297296296297297297297298297297297297297297296297297297296296295296296296296296296296296296296296295296294296296296296296297296296296296296297296296297296296296296295295295295295295295295296295295295295295295295295294295295295295295295295295295294295294295295294294294295295295295294295295294294294294294293294294296294294294293294294294294292292292293293293293293292293292291291291292292291291291290290290290288288288288288288288288287289288288288288288287287288288289287289289 299300300300999999999999999999999999999999999999999999999999999999999999999999298295297298297297298293293294294297299298297296296293296296294295294294295294296297297297297296296296295295296296296296297297297296297296296295294295292293293292293293292292293292292293293293293292292292292292292292293292293294294293293291294292293291292291290291290290290291291291291292292292291292293293293292292291291291290291290291291293294293294292294293294291293293292293293296296298298301299999999999999999999999999999999999999999999999999999999999999301304301999999298298298299298298297296295294293293293294294293292292291289288290290289285284285289292294295295294294293294294293293293294294296296296296296296295296296295294294295296298300299295295296296296297296296296999999999299299299299302302303303304304305305305305305305305305306306306306306306306307306306306305305304304304303303303303302302302301301301301301302301301300300300300301300300301301301301302301300300301301300300300301300301301301303302302302301301301300300300299301300300301301301301302301301302302301301301302302303302301302302303303303302303303303303303303303303303303304304305304305304303304303303304304305305305305305304303304305303304303304304305304304304304304303303304303303303303302303303303304303303303303303302303302301301302302302302301302302301302302302302302302301302301301302302301302302302302301302302301301301301301301301301301300301301301301301301301301302301301301302302302302301301300299299299299300299299299299299299300299300299300300300300300300300300300300300301300300300300300300300300300299299299300299299300300300299299300300300300301302302302302302301301300300300300300300300300301300300300300301301300301300300300300300300300299300300301300300300300300301301301301301301301300301300299299299299299299299299298297298297297297297297297297296296297296297297297296297297297296296295295295296296296296297297297296296296296296296296296296296296297297297297297297298297298297297298297297297297296296296295296296296295296296297296296296296296296296295295295295296296296296296296296296296296296296296295296296296295296296295295296296296295296296295295295294295294295295295294294294294295295295295294295295294295295295295295295295295295295295295295294294295294294294294294293294294294293293292292292292293293292292292292292292292292292293292291291290290289289289289288288288288287287287287287288288287287288288287287287287288 299300300300999999999999999999999999999999999999999999999999999999999999999999999301300299295294294292291291295294295296296295294294295296294295294294294294294296295298297297298296296296296295296296299297297297296296296294293292291294293293292292292291292291292292293292293293292292292291293291293294294293293293292292293291290290291290290289289289289290290290291292292292292292293294293293292292290291291291292291293293294292292293294292296294295294294294293299296300302303301999999999999999999999999999999999999999999999999999999999999999999999999999999999298300300299299297295294293294295296295294294293292292290291290288285286291293294295295295295295295295295295295295295295296297297295296296295297296293293292292293294296296295295296296297298298298298297999300299299300303302302303303304306306305305305305305305306306306307306306306306306306306305305304304304304304303303303303303302301301301300300301301301300300300300301300300300301301302299300300300301301301301301301301301302302302302302302302300300301301301300301301301302301301302301301302302302302301302302303303302303303302303303303302303304303303304303303303302303304303302303303304304305304304304304305305305305304304303305304304303304304305304304304304303304303303303303302302303302302303303304303303304304303303303302302302302303303302302302302303302301303302303301301302301301302302301301302302301301301301301301301302301302301301301300301301300301301302301302302301301301302302302302301301301300299300300299300299299300300300300299300300300300301301300301300301300300301301301301300301300301300300300300300299300299299300300300300300300301300301302302302302302302302302301300301300300301300300301300300300301301300301301301300301301300300300300300301301300300301300301301301301301302301301301300300300299300300299299299299298298297298297298298298297297297297296297297297297297297296296296296295296296296297297297297297297297297296296296296296296297297297297297297298298298298298298298298298298298298297297297297296297296297297296297296296297296296296297296296296295295296296296296296297295295296295296296296296296296296295296295295294295296296296295295295294295295295295295294295294294294295295295295295295295295294294294294295295294294295295295295294294295294295294294294293294294294292293293292292292292292292292292292292292292292292292292291291291290290290289289289288289288288287287288287287287287288289288288288288287288288288 297298296300999999999999999999999999999999999999999999999999999999999999999999999999999298293294294290289291293294294296294294293294293294295295294293294293294296296297295298296297296296296296296296296297296297296296295294293293292293294293292292292291291291292291292292293293292292292291291293293293292292292292291290290290290289290290289289290289289292289289290291292291291291293293293292292294291291291291292291293293292292292295293295296294294294294294296299297300299301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301302300299297296295294295296296295294294294294292290291288287291288293295296296295295295296295296297297296295295296296297297296296296295295294293292292292292296298296298296297297297300298297298298297296298300301302302303303304304305304305305305305305305305305306306306306306306306307306306304304304304304303303303302303302301301301301300299300299300301299300300301301300300301301301300300301301300301301301302301302302302303303301302301301300300300301301300301301301301302301302302302301301302302301302302302303303303303303303303303304304305305305304304303303303303303303303303303304304304304305305304304304304304304303304304303304304303303303304304304303303304303304303303303302302302303304304304303303302303303303302302302302303303302302302302301302302302302302302302301302302301302302302301301301302302301302302302301302302301301302302301301301301301301302301303303301301301302302302302302301301300299300299299299299300300300300301301301301301301301301301301301301301301301301301301300300300300300300300300300300299299299300300300301300300300301302302301302302302302303302301301300300301301300301301301301301300301301301302301301301301300301301301301301301301300300300300301301301301301302302301300300299299299299299299298298298298298298297297297298297297297297297297297297297297297297295296296296296296297297297298297297297297297297296296296297297297297297297297297297298298298298298298298298297297298298297297297297297297297296296296296295296296296296297297297296296296296296295296296295295295294296296296296296296296296296295295295295295295295295295296295295295295295295295294294295295295295295295295295295295295295295295295295295295296295295296295295294294294293294294293294294294293294293293293292292292292292292292292292292292291292292292291290290290290290289288289288288288288288287288287288287288288288289288288288289288288286 300301999300999999999999999999999999999999999999999999999999999999999999999999999999999999293293293292290290291293293295295295294293294293295294294294294293293294294295295295296296296295296295296296296297296296295296295294293293293293293293293292292293293291291289291292292292293291292293292292292293292290290291291290289288290290289290289289289291288293290291290292292293291291293293292292292293292293292292293292292291292293294295295295294294294294296298300299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299293297295295294295295295294294294292291291288286286291292293295295295295295295295295295296297296296296296296297296296295295295294294293292292294295294296295294298299298296298298298298297298295294299300301301302303304304305304304306305305305305305305305305306306306307307307306306305304304304303304304303302302302301301300300300299300299299300299299299299299300301300300300300300300300300300301300301301302302302303302302302302301300300301300301301301301301302301301302301302302301302302302302302302302303302303303303303303303304303303303305304304304303303303303303303304303303304304304303303304303304304304303303303303303303303303303303304304304303303303303303303302303303303303303303303304302302303303303303302302302303304303302302302302302302303302302302301301302302302302302302301302302301301301300301302301301302301300300301301302302302302301301302303302302301301301302303302302302301301301299300299299299299299300301301301301301301301301301301302301301301301301301301300301300301301300300300300300300300300300300300300300300300299300300300301301301301301302302302301302301301301301301301301301301301300301301302302302301301301301301301301301301301301301300301301301301301301301301300301300300299299299298299299298298298298298298298298297297297297297297296297297298297298297297297296296296296296297297297297297297297297297297297297297297297297297297297297297298298298298298298298298298298297298297297297297297297297297296296295297296296296296297297297297297297296296296296296295295295295295295296296296297296296296295295295295295295294295294295295296295295296295295295295295295295295295295295295295295295296295295295295295295295295295295295295295294294293294294294294294294295293293294293293292295292292293292292292292292293292292292291291291291291291290290289289288288288288288288288288288288289288288289288288287289286287287 297299999298999999999999999999999999999999999999999999999999999999999999999999999999999999999299294292290290290291294294293295294294295294293293293293294293295295294295297295296294294296296296296296296295296296295295295295294294293292293293292292292292292291292291291292290288291291292292291291292291292291290290291287289290290290289290290291288291290293291291291292292293291290292292292291294296294293293291293293293294293292293294295295294296297296297298305300999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293295295295296295293293293292292289289287289292293294295295295295295296296296296297297297297297297297296296296295295295294293293292292294295294294296296297298298297298298298297297298297298299301302301302303303304304304305306305305306305304305305305305306306306306307306305304304304304303304303303302302302301301300300300300299299299299298298298299299299300299300300300301301300301300301300299301301302303302302302301302302301301301301301302301302301301301301301301301301301302301302302303303303303303303303304303304303304304304303303304304303304303304303303303303303303303303303303303303303304303304304304303303303303303303303304303303303303303303303304303303303303302302303303304303303302303303302302302302302303303302302301302302303303303302303301302301302301301301301302301301302301302302300301302303302302301302301302302302302302302302302302302302302302301302302302302302302301301300300300300299300300301301301301301301301301301301301301302302301301301301300300301300301300300300299300300299299299299300300300300300300300300301301300300301302301301302302302302301302301301301301301301301302302302302302302303302302301301301301301301301301301301301300301301301301301301300300300300300299299299299300299299298298298298298298298298298298298298297297297297297298298297297297297297296296297296296296297297297297295295297297297297297297297297297298297298298298298298298299299298299298298298298299298298298298298297298297297297297297297297297297298297296298297296296296296295295296295295295295295296296296296295296296295296296295295294295295296296296296296296296295295295296295296296296296296296296296296297296296296296296296296296296296297296295294294294293294293294293293293293292292293293292292292292293292292292293293293292292292291291291291291290291290289289288288288288288288288287288288289288289288289289287287287287287 299299299307999999999999999999999999999999999999999999999999999999999999999999999999999999999999299292289289291295295294295294293293294294294295293294294294295295294295294294295294295295295295295295295296294295295294294293293293293292291291291291291292291291291290290292292292290291290292291291292290292290294292290293290290288290289290290290290291290289291290288291292292291291293293294294293294293292294291290293293293292292292293292294296298297298300299301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291294295296296295293292292999293293291289290292294295296296295295296295296296296296297297297297297297296297296296296295295293294293293292293294294295298298298298298298299298298298299299300301301302303303303303304303304305306306305305304305306305305305306306306306306306305304305305304303303303303302302302302301301300299300300300299299298298298299299299299299300301300300300300301300301300300301301301302302303301302302303303301300301301302303301302302302302302302301302302302303303303303303304303303303304304304304304303303303303303303303303303303303303303304304303303304303303303303303303304303304304304303303303304304303304304303304304303303303304304303303303303302303304304304303302302303303303302302302302302302302302301301302303303302303302302302302302302301301302302301302302302302302302302301302301301302302302302303302302302302303303303303302302301302302302303302303302302301301300300300301301301300301301301301301301301301301301301301302302301301301301301301300300300300300299300300300299299299300300300300300300301300301301300300301302302302301302302301301302302301301302302302302303303303302302302303303302302302302302301302302301301301301301301301301301301301301301300301300300300300301300300299299299299299299299298298298298298298298298297298297298298297298297298297297297297297297297297298298297296296297297297297298297297297297297298298299299298298298299300300299299299299298299299298299298298298298298298297297297297297297297297297297298298297297296296295295295295296296296295295295295296295295296295296296296295295295295295296296296295297297296297295295295295296296295296296296296296296296296296296296296297297297297297295295294294293293293293292292292293292292293292292292291292292292292292292292292292292292292291291291291290290290289289289289289288288288288287290288288288289288288288287287287286286286 299299300308999999999999999999999999999999999999999999999999999999999999999999999999999999999999297292290290291292293293294294294294292294293293292292293295295294293294294294295295295294295296295295295295293293293293294294294293294293293293292292292292293292291292292291292290290292289291292291292293293293297294290292290291289292292291291291291291290289290290291292290291291292293295294293294294295292291289290290291290291290294294295296297297297298301301300301303303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294296296298296294291999298298296294294293295295295295295296295296295295296297296296297297296297296296296297296295295296296293293294293293294294293296298299298297299299299298299300300301301302302302302303302302303303304305305305305304304304305306305305305305305305305305305305304304303303303302302301301301301300300300299300299299299298299298298299299299299299300299299299300299300300301299301301300299301302300301302303302301301301302302302303302302302302302302301301301302303304303303303303304303303303302303303304303303303303303303303302302302302303303303303304303303303302302302302303302304303304304303303303303304303304303303303303303303303303303304304303303303303303304303303303303303303303303303302302302301303303302301301302302302302302302302302302302302302302302301302302302302302302302301301303302302302302302303303303303303303303303303303302302302301302302302303303302301301300301301302301301301300301301301302301301301301301301301301302302302301301301301300300300300301300300299299301300299299299300300300299300300301301300300299301301301300300301301301302302301302302303302302302302302302301302302303302302301302301301302302303302301301301301301301301301301301301300300300300299300299300300299299299299299299299299298298299298298298298298298298298298298298298298298297297297297298297297297298298298297297297297297297298297298297297298299298299299299299299299299299299299299299298298298298298298298298298298298298297297297297297298297297296297297297297297295296296295295296296295295295295296296296296296296296296295296295295296295296296296296297296296297296297295296295296296296296296296296296296296296298297297297297298298297296295295294293294293292293293293293292292292293292292292292292292293293293293293293293292292292291291291290290290289289289289288288288288288288288288287287287286287286286286287287286286 300300300306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291290290292292292292293293292294294293293293294293294293294292292292293294294294294293294295295293293293293294294293294295295294293293293292291293292293292292293291292291292290291289290292292292293293294292294296293294294295292292292291291291291291291292291290290291291291292292292295293294294293293291290291291290290291292293296295298300300298297301298300299302303999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999294294296297297297297294293295296296295295295296295294295295296295295296297296296298297297297297297297296296296297296295295296295294294294294295295296296297298298298300300299299300300301301301301302302302302302302302303303304304305305305304305305305304305305305305305304305305305304304303303303302302301301301300301301301300299299299299298299300299299300299299299299299299299299300299300300301300299300300300300299300301302304303302302302301302302303302303303302302301301301301302303303303303303303303303303303303304304303303303303302302303303302302302302302302302302303302302303302302302302302302303303303303303303303303304303303303303303303303303304303303304304304304304303303303303303302302303302303302303302302302301301301302302301302302303302302303302303301301301301301301301302302301302302301301300302303302303302302302303303303303303303303303303303302302301301301302302301302302301301301301301302301301301301301301301301301301300301301301301301301301301301301301300300300300300301300301300300300300299300300300299299300300301300299299300300301301300300300300301301301302302302303303303302302302302302302302302302302302302302301301302302302302301301301301302301301301302301300300300300300299300299299299299299298299299299299299299299299298298299299298298298298298298298298298298298298298298298298298298298298298297297298298298299298298298298297299298299299299300300299300299299299299299299299298298298298298298298298297297296296296296297297297297297297297296297297297295296296295295295295295295295295296296296296296296296295295295296296296295295295295295295297296296296295296295295295295295295296296295295296296297297297297297296296296296296295294293293293293292292290292292292292293292292292292291292292292293294293293293293292292291291291290290290290289289289289288288288288288288288287288287287287286286286286287286287286 300300300298299999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291291293293293293293293293293294292293293294294294294293293292293294294294294293294294293293293293293293294296296296295296294295294293293294292294294293293293293290292291290291291292292292293296292293294291292295295291292292293292291291291292291291292291292290291290291294293293294294294293293292291290290291291292292297300299297299296297298999999301303298299999999999999999999999999999999999999999999999999999999999999999999999999999999999999300302301999999298296296296297296295295296295293292293295295295295295295295295295295296295296298296297298297298297297298297296296296296295295296296295295295295294293295294295295297298298299299299299300300301301301302302302302301301302302302303303304304304304304304304304304304304304304305305304304304304303303303302302302301300300300300300300300299299299299299299299299300299298300299299299297297298299299300299299299299299300301300299299300301301302302302302304304303303304302302302301301301301301301301302303303303303303303303302302301303303303303302302302302302302302302302301302301302302302302301302301302302301302302302302303303304303303303304303303303303303303303303303303303304304303304303303303303303303302302303303303302302302301301301301300302302301302302303303302303302303301302301300301301300301300301302302301301301302301302302302303302303303303302303302303302302302302302301301301302301301301301301301301301301301301301301300300300301301301300300300300300300301301301301301301301300300300301300301300299300300299299299299299300299298300300300301300299299300300300299300300300300301301301301302303303302302302302302302302302302302301301302302301301302302302300301301301301301301301301301301300300300299300299299300300299299299299299299299299299299299299298298299298298298298298298298298298298298298298297298297298298298298298297298298298298298298298298297298298298298299298299299299299300299299299299299299299298298298298298298297298297297296296296296297297297297297297297297296296296296295296295295295296295296295296296296296296296297296296296296296295295295296296296296295296295296296297296296296296296295296296296296296296296296296296297297298297296296296295295294293293293292292291291293292293293293293293293293293294294294294295294294294293293292292292291291291290289292289289288289289288288288287288288288288288287287287287287286286286 300300300300299300999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292289291292292293293293292294294294295294295294295293293294294293294295295294294294294295296294295294294294294295295295292292292292293293296295294294292290294290293295292293296294294295295296295293294291292295292292292292292292292292291292292292292291291290291292293293294293292292293293294293292290292292291292299300299298297298299297999999999297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299303304302301299300299298296296295298294297296295295295296296297296296294295295297296297296297297297298298299298300298297297297297296295296295296297297297296296295296295296297298299299300300300300300301302302302302303303302302302302302302302303304303304304304304304303304304304304304304305304304304304304304303302302302302301300299299300300301300299300301300299299299299299299299300299299299298299299298299300300299299299300300300300300299300300301301302302303303302302302303303302301302301302302302301302302303303303303303303302302302302302301302301302302302302302302302302302301301301301301301300301301301301302302302302302302303303302302303303303303303302303302303303303303303303303303303302302302303303303302302303303303303303302302302301301302301301302302302302303302303303303303301301302300301300301300300301301302301301301301302301300302302301301302302303302302302302302302302301301301301302301301301301301300301301301301301301301301300300301301301301300300300300301301301301301301301301300301301300300301300300300299299299299299298299299300300300301300299299299299300300300300300301300300301301301302303303302303303302302303302302302302302302302302302302302302302301302302302301301301301301301301301300301300300300300299300300299300299299300300300299299299299299299299299298299298298299299298299298299298298298298299299299299299298298299298298299299299298298299298299299299300300300300300300300300300300300299299299299299298298299299299298297298297298297297297297298298298298297297297297297297296296296296296296296296296296297297297296296296296296296296296296296297296297296296296296296295296296295296296297296296296296296296296296296296296297297298297297296297296295294295294293292291291292292292293293293293293294294294294294295295296295295295295294294293293293292292291290290290290289289289288289289288289288289287288288287287288288287287287286 300300300301300300999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291290293292292292293293294294295295295295295295294295294294292292292295295294293294294294293293293294295292292293297296292290291290294294298294294293291290290293290292293294294295295296296295293293292293297293292293291292291292292292292292292292292291292290290293293295295293293292293294293293293293293293293295298302299300299298310999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302302300300301299297296295295294300296297297297296296297297297294296296296296298297298298297297297298298299299300297298295297297297296296296296296296297297296297296295296298299300301301302301302302302302303303303303302302301302303303302302303304304304304304303304302303304304304304305305305304303304304303302302302302301301301300300300301300301300300300299300300299300301301300300300299299299299297298300300300300299299300300300300300299301301302301302302303302301302302303302302302302303302303302303303303303304303304303303303302301302302302301301302302303303302303303302302302302302301301301301301302302302302303302302302302303303303303303303303303303303303303303303303303303303303303302302302302303302303302304303304304304303303303302303302303302302302302302302302302302303302302302302301301301301301301302301302302302302302301301301301301302302302302302302302302302302302303302301302302302302302302301301301300300301301301301301302301301301301301302301301300300300301301301301301301302301301301301300300300299299300300300299300298298298299299299300300299299299299300301301301300300301301300301301302302303302303303303302302302302303303302302302302302303303303302302301301302301302302301301301301301301301301300300300299299300300300300300300300300300299300299300300300300299299300300299299299299299299299299299299299299299299299299299299299299299299299299298298299299300300300300300301301300301300300301300300300300299298299299298299299299299298297297297298298298298298298298298297297297297297297297297297296296295295296297296297296297298296296296296296297296296297297297297297296296295295296296296296296297297297297297296295296296296297297296296297297297296296296295295295295294292292292292292292292292293294294294294294294295295295295296296296296295295294294294293292292291290291290290290289289289290289289288288289287287288287287288287288287287286 301301301301301305999999999999999999999999999999999999999999999999999999999999999999999999999999999999289291293294291292291293292294294294294295293294294293294294295294294293295294294295294295292293293294294293291291293293293291290290290289293292292296297293294292293293294293294295295297298296295293293293294294293292292292292292292294293294294294293292292293293291292293295294294293293293294293292294293294294294294296305305308306999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298299299298298296295295294295299296295298298297297297298298296297297297298297297297298297297297297298298298298297297296297297297297297297297297296297297297297296296298298299299300301302301301302302302303303302300301301302302303302302303303303304304304304303303303302303304304304304304304304304303303303303302302302301301301302302301300301301301301300300300300300301300300299301299299298300298297298300299300298298300300300300300299300300301301301301302301303302302302302301301302303301302303303303304304303303303302302302302302302302301301301302302303303303303302302302302302302302301301302302302302302302302303303303303303303304303303303303303303303303303303303303303303302302302302302302302302303302303302303303304303304303303303303303303302303302302302302302302302302302302302302302301301302302302302302301302302302302302302301302302302302302302302302302302302302302302302302302302302302302301301301301301301300301301301301301301302301301302302301301301301301300301301302301301301301301301301300299299299300299300300299299299298297298299299299299300299299298298300301301301300301300301301300301301302303302302302303302303302302303303303303303303303302302302303302302302302303302302302301301301301301301301301300300300300300300300300300301300299299299300299299300300300300300300300299299299299299298299299299299299299299299299299300300299299300300299299298299298299299299300301300301301300301301301301301300301299299299299299299298299298299298298298297298298298298298298298298298298297297297297297297297297296295296296297296297296297296296296296296297297297296297296297297296296296295294295295295296296296296297296297297296296296296297296296296296296297297297296295295295294294294293293292293292292292294294294294295294294295295295296296296296296296295294294294293293292291291290291290290290290290290289289289289289288288287287287288288288287286286 300300301301302307999999999999999999999999999999999999999999999999999999999999999999999999999999999999289290293293292291292292293295293293293293293293294292294294294294295294294295294295295294293293293293294293293290292292292292290292291293292293294295297297294294295294292294295295294296295296296294294295294294295293292293291292296294294294293295293294295294295295295296294295295294293294294293293295296297295294296296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296295295294295295294296296297298299298298298298298297297298297297297298298298297297298297298297296297297297296296297297298298297298297296298298298298297298298299299300300301301301302301302302302302302302301300302302303302302302303303303303303303302303303303303303303304304303303303304302303303302302302302302302302301300301301301301301300300300300300300300300299299300300300299301300297298298299300299298298300300300300299300300301300300301300301301301302302303303302301302302302303303304303304302303303302302301301301301301301301301301302302303302303302301301301301302302302301301302302303303303303302303303303303302303303303303302303303303302303303302302302302302302302303302302302302303303303303303302303303303303303303303302302303303302302303302303302302302302302302302301302302302302302302301301302302302301302302301302302301302302302302302302302302302302302302302302302302301301301301300300301301300300301300301301301301301301301302301301301300300300300301301301300301301301301300300299299300299299300300299299300299299299299298299299299298298298299300300300300300300301300301301301300301301302302302303303303302302303303303303303303303302302302302302302302303302302302302302301301302302301301301301300301300300299299300300300300300300299299300300300300300300300300300300299299299299299299299299299299300300300299300300299300300300299299299299299299299299300300300300300300300300301301301301299300299300299299299299299299298299299298298298298298298299298299298298299298298296297297296297297297297297297297297297297297297296296296296296297296297296296297297296296297296296295294295296295296297297296297297296296296296297297297296297296297297297297296296295295295295295293293292293293292293293294294294294294295295295295295296296296296296295295294294293292292292291291290290290290290288289289290290289289287288288287287287289288287286286 300301300301301298999999999999999999999999999999999999999999999999999999999999999999999999999999999999288290293291291289292291293293293293293292292293294294294293293294294293294295294294294293294292293292293293292293296292294291291290292294293293293296297299294292298294293294297294295294295295295296295294295294293293293294294293292293293293294296294293294294295295297294294294294295294293293293293294295298295297302305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300294294294294294295296297298300300299299299299299297298298297297297298299297297297297297297296296296297296296296296297297298298298297298298298298299298299300299300300300301301302302302301302303302302302302301301302302302302302302302303303301999301302303303303303302302303303303303303303303303302302302303303302303301301301301302301301302301301301301301300300300299300300299300300299299298300300299298299299299300300300299300300300300301301300301302301301302303303302302303303303304303303303304303304303302301302302301301301300301301301302302302302302302301301301302301300301301301302302302302303303302302302302303302303303303302303303303303303303303302302303302301302302302302303302303302302303303303302303303303303303302303303302303302303303303303302302302302302301302302301301301301301301301301301302302303302302302302302302302302302302302302302302302302302302302302302301301301301301301300300301301301301300300301300301300301301301301301301301300300300301301301301301301301301300300299299299300299299300301300300300299299299299298298298298298298298299300300300300300300300300301301301300300301301302302302302303303303303302302303303303303303302302302302302302302302302302302302302302302302302302302302302301301300300300300300300300300300300299300300300301300300300300300300300299300299299299299299299300300300300300300300300299299299299300300300299299299299300300300299300300300299299300300299300299299299298300299299299299299298297298298299298298298298299299299298298299298297297297296297297297297297297297298297297297297296296296296296297296296296297297296296297297296296295295295295295295296297296297297297296296297296296297297297296297296296296296295296295295294294294292292292293293293293294294294294294294294295295295295296296296295295295294294294293292291291290290290289289289289289290289289289289287287287286287288287287287287287 300300302301302299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291290287290291290292292292292293292292292294293294293293293293294295295295294294294292293293293294293293294293293292291291291293296295297298298296300296296291294296295293296295296295294298297295294294293295295297295293293293291294293293295294296296296292297298295294294294295294293293292292292295296297300303297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303999999999999999999999999296298296294294296295295296297298298299300298298299297297298297296296296297297298297296297296297296296297297296296295296296297298298298298298297298298299297299299299299299300301301301301301301302302302301301301301302303302302302302302302302302301999301302302302302301301301302302302302302303303302301301301302302302301301301302301303303301302300300301300300301300300300300300299300300299299301301299299299299299298298299300299299299299299300300300300300299302302303303303303302302303303302303303302302303302302301301301301301301300301301301302301302302301301301301300301302301302301301302302301302302302302302301302302302302302303302303303302302302302302302302302302302302302302302302303303303302302303302303303303303303303302303302302302303303302302302302302302302302301302302301301301301301301300300301302302302302302302302302301301301302302302302301302302302302301301301301301301301301300300300300301300300301300300301301300300300301301301301301300300300300300300300301300300300300300300299299299300300299298300301301300300300299299298298298298298298298298298300300299299300299299300300301300301302302302302302302303303303303303303303303303303303303302302302302303302302302302302302302302302302301301302302301301300300301300300300300300300299299298298300299300300300300300300300300299299299299299299299299299299300300300300300299299300300300299299300298298299299299299299299299299300300300299300300300299300299299298299299299299299299298298299299298299299299299299299299298298298298297297297297297297297298298298297297297297297296296296296296297296296296297297297297297296297297295296295296296296297297297297297296296298298297297296296297296296296297296297296296296295295295295294294293293293293293293293294294294294294294295295296296296296296295295294294296293292292291290290290290291290290289290289289289288288287287287288288288288287287286 299300301301301300999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291291289289290291291292293293293292292293293294292293293294294294294295295295294295294294293294294293293294294295294294291294295297295296294298298296298296295295302294295296294294295296296295296295296295295294293294292293292292291291294295296297297297293296293295295293294295296295294293293292293296295300301304999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999302300999999297296298298296296296299295298297296297299299298298299298297297297298297297297296295296297298298297298297297296296296296296295296296296298299298298299298297298297298297299298298299299300300300300301301301302301301301300301303303303302302303303302303302302301300999302302302301301301301301302301302302303303300301301301302302302300300301302300302302302301301300301301301301301300300300300299299300299300301300299299299299298299297297298299299300300300300301300301302301301303303304303303302302303302302303303303302302302302302301301301301301301301301302301301302301301300301300301301301301301301301301301301302301301302301302301302301302303303302302303302302302302302302302302302302302302302302302303302303303303303302303303303302302303303303304303303303302302302302302302302302302301301300301301301300300301301301301301302302302302301301302301302302302302302301301302302302302302301301301301300300301300300300300301301300300300301301301300300300300300300301300300300300300300300300300300300300300299299299299299299299299299300301301300300300299300298299299299298298299299299300299299298299300299301300301301302302303302302302302302303303303303303303303303303303303303303303303303303303303303302302302302302303302302302303302301300300301301300300299299299299299299299300300300300301301300300300300299299299299298299299299299300300300299300300300300300300300300299299299298299299299299299299299299300300300299300300300299299299299299299299299299299299299298298298299299299299299299299299299298298298297297297298298298298297298298297297298297298298297297297296296296296296297298296297297296297296295295295296296296297297297297296297297296297297297297297297296297296296296297296296296296296295296294294293293293293293293293293294293293294295294295295296296295295295295295294293293293292292290290290291290290290289289289289289288288288288287288288288288287287287 299300300301301302303999999999999999999999999999999999999999999999999999999999999999999999999999999999293291289289289290290290291292292292292293293295294293293293293293294295295295293295294295294293293295293292295294294293293291291293296293283293297298296296298298295287295296296295295296296295295295294294295293295295294294294293294294291293293295295296296293294293293293294293294294294293293293294293294295296302999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299999999300300296297298298297297296296297298296296297298298299299298298298297298298298297297296296297298298299298298297297297296296296296296296297297298298298298298298297298298298298299299299298298300300300300301302301301302303301301302303302302303302302303303303302302302301300302302302301301301301301301301302301302302301301301301301302302301301301301302302302301300300301301302301301301300300300300300299299300300301298298298299299299299299298299299298300300300301301301302301301301301303303302302303303302302303302302303305303303302302302302302302303302301301301301301301301301301300301301301301301301301301301301301302302301302302301301302302302303302303303303302302301301302302302303302302302302303302303303303303303303303303303302302302303303303303304303303303302302302302302302302302302302301302302301301301301301301301301301301302302302301302302302302302302301301301301302302302302302302301301301301300300300300300301301301301300300301300300300300300300300301301300300300299300300300300300300300299300299299298298298298299299299300301300301300300301300299299299299298299299299299299300299300300300300301300301302302303304303302302302302302302303303304303303303303304304304304303304303304304304303303303303302303303303303301302302302301302301301300299299299299299300298299300300299300301301301300300299299299299299299298300298299299300300300300300300300300300300299299299299299298298299299299299299299299299300300300300300299300300300299299299299299299299299299299300300300299299300300299299299299299298298298298297298298298298298298298298298298298298298298297298297296297297297297297297297297297296295295295296297297296296296297297297297297298297297297296296296296296296297296297296296295296295295294294293293294293293293294294293293293293293294295296295295295294294295295294293293293292292290290290291290290289289288288288288288288288288288287288288287287287287 300301300300300300304300999999999999999999999999999999999999999999999999999999999999999999999999999999293290289289289290290291292291292291292293293293294293292291293293293293293293292294293293293293293292292293292291292292292291292291292294291999999295295293293297297293296295295296295295294295294293294296294294293294292294294295295295293292293293295296296296293292293293293293293293293293294294294294293294305305999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999307999304305298298297298301300297298297298296297296298298299296297296297298297297297297297298297297296296297298299298297296296296295295295297296296297297298298298297298299299299299297298298299298298299299300301301301301301300302301300301301302302302302302302303302302302302300999301301301301301301301301301301301302302302302301301302302301300301301301301300301301300300301301301301301301301301301301301300300299301299300300299298299299300300300300300300300299300300300300301301300300300301301302303302302303302303302302303303303303302303303303302302303302303303302301300301302301301301301301300301301301301301301301301301302302301302302302302302302303303303302302303303302301301301302301302302302302302302303303303303303303303303303303303303303303302303304303303303303303303302302302302302302301302302302300301301301301301301301301301301301302302302302302302302302302302301301301301302301301302302302301302301301301300300300300300300300300300300300301300300300300300300300300300300300300299300300300300300300299299299298298298298298298299299300300300300300301301301299299299299299299298300300300300300299300301300300301301302303303303303302302303302302302302303303303303304303304304304304304304303303303303303304303304303303303302302302303302302302302301300300299299299300300299299299300300300300301300300300300299299299299298298298299298299299299299300300300300300300300299299299299299299298298300299299299299299299299299300300299300300300300299299298299299299299299299299299298299300299299299299299299299298299299299298298298298297298298298299298298298298298298298298298297296297297297298297297296297297297296296295296296297297297296296296297296296296297296296296296296296296295295295295296296295295295294295295293294294293293293293293293292292293293293294294294295294294294295295294294293293293292292291291291291291290290289289288289289288288288288288288288288287288288286 300300301301299300304999999999999999999999999999999999999999999999999999999999999999999999999999999999293291289289289289290290291290291291292292292292293293292293292292292292293294293293292292294293293293293293292293293291291292292288289288999999999999291293293296295294295294296295294295294293294293294294294294292292294294294294294291291292293294294296295295293292292292293293294292291292293294293293303301301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999306304303303298297298299298297300300298298297300299298297296296298296297296297298297297297298297297297297298298297297296296296296295296296296296297297297298297298298299300299299298298298299299298299299300301302301301300300301301300301300302302302302302302302302302302301300300301301300300302301300300301301301301302301301301301301301301300301302300300300301301301301301301302302302301301301301302301301300300299302301300299299299300301301302301300301300301301301300300300300299299300300301302302301301302302302303304304302301304303304303303302302303303302302301300300302302301301301301301301301301300300301301301301301301301301302302302302301301302302301302302302302302301302302302301301301302302302302303303303303303302303303303303302302302303302303302303303303303303302302302301302302301302302301302301301301300300300301301301301301301301302302302302302302301302301301301301301302302301301301302301301301301301301300300300300300300300300300300300300300300300300300300301301300299300300300299300300300300299299299298299298298298298299298299299300300300300300299299299299299299299299298299299301300299299300301302300301302303302303303303302303303303302303303304304303302303304304303303304304303303303303303304304303303303303303302302302302302302302301300300300299299299300299299300300300300300301300300301300300299299299299299299299299299299299299300300300300300299299299299299299299299299298299299299299299299299299299299299300300300300300299299298299299299299299298299298298298299299299299299299299299298299299299299298299298298298298298298298299299299299298298298298297297298297297297297297297297297297295296296296297297297296296296296296296296297296296296296295296295296296296296296296296296294294294294293294295293293293292293292292292292293293293293294294294294294294294295294293294293293293292291291291291291290291289289288288288288288288288288288288288288287287286 299299300300300300301304999999999999999999999999999999999999999999999999999999999999999999999999999999292291289289289289290290290290291291291290291292291291292292292291292292292294293293292292293293294294294295296295294294294290287289290290293999999999291294294295295295295297298296296296295296296296299294294294292293294294295293292292292293294294294294295293291292292292293292293292291291291292291298301297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303299300298297297297298298299299298298298299298296296296296297297296296297296297297297297297297296297298298297297296296296296295295295296296296297298299299298299299299300299298298299300299300300300300301301300301300300301301301301302302301301302302301302302302301301300298300301300300300300300300301301300301301301301300301300301300301301301300301301301302301301301302302303302302302302302301301301300300300302302302300299299300300301301301301301301301301301299300300300300300299300302301301301301301301302303304302301302302303303301303302301302302302301301301301301301301301301301300301300301301301301301301301301300301301302302301302301301302302302302302302302302302302302301301302302302302303303303303303302303302302303303302303302302302302303302303303303303303303302302301302301301301301301301300300301300301301300301301301301301302302301302302301301302302301301301301300301301300301301301301301302301301301300301300300300300300299299300300300299299300300300300300300300299299299300300299299300300299299299299299298298298299299298298300300300300300299298299299298298298298299298298298298299299299300301302300300301302302302303303303303303303303303303303303303302303304304304304304304304303303303304304304304303303303303302302302302302302301301301300300299300300301301299300300300300300300300300301300300300299299299299299298298299299299299300300299300299299299299299299299299299299299299299298298299299299299299300299299300300300299299299299299299299299299299299299298298299299299299299299299299298299299299299299299297298298298298298298299299299299299298298298298298298297297297297297297297296296296297296296296296297297296296296296296296296296296296296296296296296296296296296296296295294294294294293294293293292292291291291292292292293293293293293293294294293294294294294294294293293293292292291291291291290290290289289288289289289288288288289288288288288287287 299299300301301300301301302999999999999999999999999999999999999999999999999999999999999999999999999293291291289288289289290290290289290290288290292291291291291292291290292291292292292293293295295293295293295295296295296295293292292290291290291293999293291293293295295295294295297296297297295296295297296295295293295294293295292292292292291292293294295294293292291291292291291290291291289293292295297297299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298298297295295296296296296297297297297299297296295296297298297297297297296298297298297297298298298298297298297297297296296296296295296297297298298299299299299299299300300299300300300300300301301300300300300300300299301300300300299299300301301302302302301301301301300299299300300300300300300300300301301301301300301300300300302301300301300300301301301301301301301300301302303302302302301301302301300300301300301299298300300300300300301300300300299300299300300300300299300301301301301302301301301301301302303302302302301302302302302303302301301302301301301301301301301301301301301301301301301300301301302301301301301301301301301301302303302301303302302302302302302302301302301302302302302302302302302302303302302303302303303303302302302302303303303303302302303303302301300301301301301301301301301300301300300301301300301301301301302302301301301301301302302301301301300301301301301300300300300301301301301301301301300300300300300300299299299299299299300300300300300300299299299299299300300300300300300300300299299299299298298298298297298299299299299299298298299299298298297299299298298298298298298299300299301301300301302302302303303303303302303303303303304304303303303304304304304304304304304303304304304304304303303303303303302302302302302302301300300300300301301300300300300300299300300299300300300299300300299299299299299298300299301301300300299299299299299299299299299299299299299299299299299298299299299299299300300300299300299299299299299299299299299299299299299299299298299299299299299299299299299299299299299299298298298298299299299298298298298298298298298298298298297297297297297297297297297296297297297296296296296296296296296296295296296296295295296295297296296296297297296295294294294294293292292292292292292291291292292292292292293293292293293293293294293294294294294293294294293292293292291291291290290290289288288288289288289288288288288288288288287287 299299300300300300301300301303999999999999999999999999999999999999999999999999999999999999999999999999292291289288288289289290290290289290291290291291291292291291291291291292292293293293292293292294294294293294298298295296293294293290291291290292294293292294293295295294294294296296296294295296297297296296294292290292297292292290295295291291293293293296294293292292292291291291292290288288294294293297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999299298297295294296296297297296297297296299298297297296297297298298297298297297298298299298298299298298297297297298297297296296296295296296297297298298299299299300300301300300300299299300300299301301300299300299300300300301301300300999297300301300300300301301301301300301300300299300300300300300300300300300301301301301301301300301301301301301301301301301301300300301300300300302302302301302301301301300300300301301301299301300300300300301300300299299299299299299300299301302302301302301302302301301301302302302302302300301302303302302302301301301301300301301300301301300301300301301300301301300301301301301301301301301301301301301301301302302302303302302302302301302302302302301302302301301302302302302303302302302303303303303303302302302303302302303303303304303302302302301301301301301301301301300300301300300300301301301301301301302302301301301301301302302301301301301301301301300301300300300300301300300301301300300300300300300300299299299300300300299300299300299299299299299299300300300300300300300300300300299299299298298298298299300296297297298298298298298298298298298298298298298298298298298299299299301300300301301302301301302302302302302303303303303303304303304304304304304303304304303304304304304304304304304303303303302302302301301301301300300299300300300300300301300300300300300300301302301301300300300300299300299299299299300300300300298299299299299299299299299299298299299299299299299299299299299299299300299299299299299299299299299299299299298298299299298298299298298299299299299299299298299298299299299299298298298298298299299298298298299298297298298297299298297297297296297296296297296296296296296296296296296296296296296296294296295295294296295297297296296297296296296295294294293293293292292292292292292292291292293292292293293293293293294294294294294294294294294293293293292293292292292291290290290289289289289289289288288287287288288287288287288288 297298299299300300299299300301300999999999999999999999999999999999999999999999999999999999999999999999293291289288288288289290290289290290290290291291291290290291291292291292291293292293293292293293292293292295294294294292292291294294292291291293293293294294294293294294299295295295297296296295293297298295294292294293294296290291293294292292292292293294294293291292290291291290289289288287290293294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297297294295295296293294295296297296296297297298298299297296297297298297297298298299297298298299299298299298297297298298299298297298297296296297296297298298298299299299300300300301301300299299300299300300300300300300300300301300300300301301300999298299301301301301302301301301301301301301301300300300300300300300300300301301301301301300301301301301301301301301301301300300300300300299301300301301301302302300301302302302301302300300300300300301301300300300299299299299299299301301301300301300302302302302301301302300302301302301301301301301302301302302301301301300300301300300301300301300300300301301301301301300301300301301301301301301301301302302302302302302302302302301302302301301301302301302302302302302303303303303303303302303303302302303303300303303303302303303302302302302301301301302301301301300301301300300300301301300301302302302302302302302302302301302302302301301301301301301301301301300300300300300300301300300300300300300300299299299299299300299300299299299299299299299299299300299300300300300300300300300299299298297298299300300299299299298299299298299298297297297297297297298297297298299299299299300300301300301301301301302302302302301302303303303303303303303303304304303304303303304304304304304304304304304303303303303302301302301301301301301301300300300300300301301301301300300300301301300301302300300300300299299299300302300302300300298298299299299299299299299299299298298299299299299299299299299299299299300299299299299299299299299299299299298298298298298298298298298298298299299298299298298298298299298299298298298298298299298298298298298298298297297297297298297297297297296296296296296296296296296296296297297296296296296296295296295295295295295295296296296295296296295295295294294293293293292292292292292292292292292292292293293293293293293294294294293294294294294293293293293293293292292291291290290290290289289288288287288288287287287288287287287287287 296296298299299298297298298300300999999999999999999999999999999999999999999999999999999999999999999999293291289287288288288289290290290289289290290289291290291290291291291291292291291292292292290291293292292294294295295291291292295294290292292293292293294294294296297297297296296295294296296296296298294295292295291292294293291294292292294292292292293293293292291290290290290289288288289290290296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297302297295295294294295295295297297297297297297297297296296297297298297297297297297298298299298299300298298298298299298299298297297297297297297297297297298298298299301301301301300301300300300300300300300299301300300301300300300299300300301300999298300301301301300302301300300300301300300299299300300300299300300300300301301301300300300300301301301301300301301300301301301300301300300300300300301303302303301301302302301302301300300300300301300301301301300299300299300299299300301300300301300301301301302301302301301301301301301301302302302302302301302302301301301301301301301301301301301300301301301301301301301300300301301300300301301301301302302301302302302301301302302302301302302301301301302302302302302303303303303303303303303303303303303303302302302302302302303302302303302302302302301300301301301301302302300300300300301301301301301301301302302302302302301302301301301300301301301301300301300300300300300301300300300300300300299299299299299299300300300300300300300299299299299299299299299300301300300300300300300299299298298299299300300299299299299298298298298298298297297297297298298298298298298299299300300300301301301301301301301302302302302302303302303303302302302303303303303303303303304304304304304303304303304303303303302302302302303301301301300300300300300300301301302301301301300301300301301300301301300300301300300300301300299301300299298298299299300299299299299299299299299299299299299299300299299299300299299299299298299298299299299299299298298298298298298298298298298298298298298298298298298298298298299298298298298298298298298298298298298297297297297297297297297297297296297296296296296296296296296296296296297296296296296297295295295295295295295295295295296295295295294294294294294293293293292292292292292292293293293293293293293293293293293293294294294294294294294294293293292292292291291291291290290290290289288288289288288287286287288286287286287287288 296296298299298298298298298299298298999999999999999999999999999999999999999999999999999999999999999999293290290287287288289290290289289290289289289290290290290291291290292290290291292290291290291292291292293295294296295295292292293292293293294293295294294294295297300299298296297296297295297296296297296296294292293293294293294293292293292294293292293293292292292290290291289288290288286290296291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296296294294295296296295296297297297296297296296297297297297297297296296296297298299299299299299297298299299299298296298297297298297298298297298297298298299300300300300300300301300300301301301300300298299300300299299299299300300300300298298300300301301301302300299299299299300300299299299299300300301300300300301301301301300300300301300300300301301301300300300301301300300300300300300302302302303302301302300301301301300300300301301301301301301300300300300300299300300300300300301301301301301302301301301301300301302302302301302302302303302301301301301301301302301300301301301301300300301301300301301301300300300300300300301301301301302302301302302302301301301301301301301301300302302302302302303303303303303303303303303303303303303302302302301302302302302302302302302302302302302301301301301301301302301301300301301300301301301301301301302302302302302301301301301301300301301301301300300300300300300300300300299300300300300299299299299299299299299300300300300300300300299299300300299299300300300300300300300299299299298298300299298299299299299300298299298299298297298297297296296297297297297298299299300300300301301301301301301302302302303301302302302302302302302302302303303303303304303303303304304303303303303303303303302303302301302302300300300300301300301301300301302302301301301300300300300300300300300300301301301301300300300301300300299299298299300300299299299299299298298298298299299299299300300299300300299299298299299299299299299299299298299299298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298298297297297297297296297296296296296296296296296296296295295295295295296295295296295295295294294295294295295295295295295295294294294294294294294293293293293293293293293293293293293293294294293293294294294294294294294294294293293293293292292291292291291290290290290289288288288287287287287287287286286286286287287 296296297297297297298298298299298298301999999999999999999999999999999999999999999999999999999999999999293290290288287288289290289290289289289289290289289289290291290290290291291291291290291288290291292292293296294293291293291292292292292292294293294294295295298298298298298298298298298294295294295297298296293293293294294294293291292292292293293293293292293292291291294290289289290289288293296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296294295295294293294295296296297296297296297297297296296297297296297297298297297297298298300300300299298298298299299298298298299298299299299298298299299299300300300301301301301301300301301301301301301300299300300299299300299300300300301299299299300300301301301300300300299299299299300299299299299300300300300299300301302301301301301300300300301300300300300301301300300300300300300300300301301300300301302301300301301301300300300300301300301301301301301301300301301300300300300300300301301301300301301301301301301302301302301302301302303303303302302302301301302302301302302301301301301301301301300301301300300301301301300300301301301302302301301301301302301301301301301301301301302302302302303302302302302302303303303304303303303304304303302303302301302302302302302302302302302302302302302302301301301300301300300300300301301301301301301301301301302302302302302301301302301301301301300300300300300300300299299299300299300300300300300300300299299300299299300300300300300300299300299299299299300300300300299300300300298299299298299299299298298297298298297298298298298297298297297297296296296296296297297299300300300301301301301302302302302302303302301302302301302302302302302302302303303303303303303303304304304303303303303303303303303302302302302300300301301300300301300301301302302301300301300299299299300300300300300300300301301300301300300301299299299299298300299299299299299299299298299299299299299300300301300300300299299299299299298299299299299299299298298298298298298298298298298298298298298298297298298298298298298299298298298298298297298298298298298297298297297297297297297297296297296296296296296296296295296296295295295295295295295295295295294294295295294295295295295294295294294294294294293293293293293293293294293293293294293293293294294294294294294294294294294294294293294293293293293293292292292291291291290291290289289288288287287287287287286286286286286286287 296297297297296295297297297298297297301999999999999999999999999999999999999999999999999999999999999999292290290288287287288289289289288288288289289288288289289289291290290291291289290290999291292291292293295294294293291292291291290291292292292293294296297296296297301298298298297297298297296295295295295295294293293293293294290290290293292292292293293292292291290291291291291293290295297294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301298295295294293293293295295295295297297296298297297296295297296296296296297297298300299299299299299299297297297297299299299299300299299299299298298298299299299300301300300301301299300301301301301301300300299299299299299300300301300300300299298299299300300300299299299299299299299299299299299299300300299300300301300300300300300300300301300300300300300300300301301300300299300300300300300300300300300301300300300300301300300300302300301301301301302302302301300301300300300301301300301301301300300300301300301301302301301302300301302302302302302302302302303303301303303302301301301301301301301300301301301301300301300301300300300300301301301301301301301301301301301301301301301301301301302302303303302302302302303304303303303303303303303302302302302302302302302302302302302302302302301301302302301301301301301301301301301301302301301301301302302302302302302302303302302302302302301301301300300300300300300300300300300300300300301300300300300300300300299300300300300300300301300300300300299299299300300299299299299299299299299298298299299298298298297297297297298299298298298297298297296296296296297296298298299300300300301301301302302301302302302301301302302301301302303303302302302302303303303303303303303303304303303303303303303302302302301301302301301301300301301301302301300301301301301301300300300299299299299299300300300300301300300300300300299299299299299299300299299299299299298299299299299299299300300300299299298299298299298299299298298299299299298298298297298298297297297297297297297297297297298297297298298297298298298298298297297297297297297297297297297297297297296297297297296296296296295296295295295295295295295294295294295294294294294294294294294294294295295295294294294294294293293293293293293293293293293293293293293293293294294294294294294294294294294294294294294293293293293293292292292292292291291290290289289289288288287287287287286286286286286286286286286 296298296295297296298297296297298296296999999999999999999999999999999999999999999999999999999999999999291292290289287287287288288288288288288289289287288288291291291291290290289289291290291290292291293292295293295293292292292292291291292293292294294296296297296296295296295296296297297297297297296295295295295293295292292292291289291293294292293293294294292291296292292289290289290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295295292293292294294295295295295298296296297296296296297295295296296299298299299298297298297299298298298298299300299299299300299299299299299298298299299299300300300301300301300301301301302301301300300299299300300299300300301300300301300298299299300300299299299299299299299298299299298299299299299299300300299299299300300299300300298299300299299299299299299299299299299299299299299299300299300300300300299299300300300300300301301301300300301300301300300301300300300300300301300301300301301300300301301300301300301301300301301300302302302302302302301302302303303302302300300301300300301300300300301301301301301300301301301301300300300300300300301301301301301301301300300301301301301302302303302302302302302303303302303303302303303302302301302301301302302302301301302301301301301301301301301301301301301301301301301302301301301301301301301302301301302302302302303302302302302301301301301300300301300300300300300300300299299300300300300300300300300300300300300300299299300300300300300300300300299299298299299299299298298298298298297299298299297297297297297297298298297299298298298297297297298297297298299299300300301301301301301301302302302302301301302302302302302303302302302302302302303302302303302303303303303303303303303302302302302301301301301301300300301301301301301301300299300300299300299300299299299300298300300300300300300300300300299300299299299299299298298298298298299299298299299299300299300300299299299299298298298299298298298298298298298298298298297297297297297297297297297297297297297298298297297297297298298298298297297297297297297297297297297297297297297297297296296296296296295295295295295295295295294294294294295295294294294294294293293293293294294293293294294294294293293293293293293293292293293293293293293293293293294294294294294294294294294294294293293293293293293293293292292292292291291290290289289289289288288287287287287286286286286286285286286286 297295296296296296296297298297298299294999999999999999999999999999999999999999999999999999999999999999290291290288287286286286286287286288288288288288288287290290291292291999290292292290293291290293294292295295295293292292292293293292291293293293293295296297295294297295296299295296296297297296296296295294294294293292292291292291293295293292294291297290291290295291291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293291291292292292294295294294296298297297296294294295295293296297296297296297298296298297297298298298299299299300298299300299300300299300299299298299299299299300300301301301301301301301300301301300300299299300300301301300301300299299299299299299298298298299298299299299298298298298298299298299299299299300299299300301299299299299298299299299298298298299299299300299299299299299299299299299300299299300299300299300300300300300300300300300300300300300299300300300301301299299300302300300301300300301300301301301300301301300300300301302302303301301301302302303303302301301301301301301301300300301301301301300300300301301301300301300300300300300301301301300301301300300300301300301301302302302302302303303303303303303303303303303302302302302302301302301301301301301302301301301301301301301301302301301301301302301300301301301301301301301301301301301301301303303302302302302302301301300300300300300300300300300299299300300300299300300300299299300300300301300301300300300300300300300300300300299300298299299299299299298298298297297299298300299297296297298299299298299298298298299298298297297297298298300300300300301301301301301302302302302302300301301302302302302302302302302302302302303303302303304304303303303303303303303302302302302302301301301300300301301301301300300300301299300300299299299299299299299299300300300300300300300301301300299300299299299299299298299298298299299299299299299299299300299299299299298298298298298298298298298298299298298297298298297297297297297296296296296297296296297297297297297297297297297297297297297297297297297297297296296296296296297296296296296296296295295295295295295294295294294294294294294294294294294294294294294294294294294293293293293293293293293293293293293293293293293293293293293293293294294294294294294294294294294293293293293293293293293293292292291291291291291290290289289289288288288287287286286286286286285285285285285285 297297297297296296296298298297299300297999999999999999999999999999999999999999999999999999999999999999291291289288287286286286286286287287288287288289289289290290290291291290291292291292293293293291297295296296295295293294293293294293293293294295294294296294295294293295297299298296296297296297296295295295293293292290291293293294294294293291295296293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292293292292292293293294296296296296297297293294296296297297295296297298297296297297297298297298299298299297299299299299300300300300300299299299299299300300300300300301300300301301301300301300301300299299301302301301300300300301299299299299299298299299299298298298298298298299299299299299299300300300299299300304301299299299299299298299298298298297298298299299298299299299298298298299299300299300300300300301300300299300300299299299299300300301301300301301301299300300301301302300300300301300300301301300301300300301300300300301301301302301302301302302302301301301301300301301301301300300300301302301300301301301301301300300300300300300300300301301300300300300300299300300300301301302302302303303303303303304304303304304304303303302302302302302302301302302302301301301301301301302302301301301302301301301301302301301301301301302301300302301301302302302302302302302302302301301300300300300300300300300300300300300300300299299300300300300300300300300300301300300300301300300300300300300300300300299300300300299299298298297297299300301300299297297298299300299298297298298299298298298298299299299300300300300301301301301301301302302302301302302301302302302302302302303302303302302302302303303303304303304303303303303302303302302302301301301301301301301301300301301300301300300299299300299300300299300300299300300300300300300301301301300300300300299299299299299299299299299299299299299299299299299299299298299298298298298298298299298298298299298298297298298298297297297296296296296296296296296296297297297297296297297297297297297297297297297296296296296296296296296296296296296296296296295295295295294294294294294294294294294294294294294294294294294294294294294293293293293293293294293293293293293293293293293293293293293294293293294294294294294294294294294294294294293293293293293293292292292291291291291291290290290290289289288288287287287286286286286285285285285285286 298297296295296294295295298298298300299297999999999999999999999999999999999999999999999999999999999999999289288288287286286999286286286288288288288287288289289290289291290292291293293291293292294293294295296296296294293294293293293293292294294295295296295294293294295296297300295297297294296294297294293294296293291293290294295294294294294292292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295293292293293292292293294297296297296296296295295294295295296296297299298300297296297297297297297298299298298298298298299300299300300300301301300300299300300300300300301301301301302301301301301301300301300302302301301301299299298297298299299300299300300299299298297298299300300300299300299299299300300300299300302301300300299299299299299297299298298298298299299299299299298298298297298299300299301300299299300300300300300300298300300300300301301301301301301300301301301301300301302302302300301302302301300300301300301301300301301300301301302302302301301302301302301301301301301300301300300301301301301301301301301301301301301301301300300300300301300301300300300300300300300300301302302303303303303303304304305304304304304304303303303302302303302302301301301302302302302302302301302301302302302301302302302302302301302302301302302302302302302302302302303303302303303302302302302301301301300300299300300300300300300300301300300300300300300301301301301301301302301300301301300301301300301302301300300300300300300300299298298298301300301300299300299300300300300299298298298299298298298298299299300300301301301301302301301302302302302302302302302302302303302302302303302303303302302302302302304304304303303303303303303302302302302302302302302301301301302301301301303301301301301300300300300300301300300300300300300300300300301301301301301300299300300299299299299300300298299299299299299299299298299299299298298298298298298298298298298298298298298298297298297297297297296297296296296296296296296296296296297296296297297297297297297297297296297297296296296296295295295295296296296295296296295295295295295294294294294294294294294294294294294294294293294294294293293293292293292293293293293293293293294293293293294293293294293293294294294294294294294294294294294294294294293293293293293292292292291291291291291291290290290289289288288287287287286286287286286285285285285285286 999999294297296295294296296297298299301300299299999999999999999999999999999999999999999999999999999999999999999286287287287287285285287287288287287288288289290290291291292292292293294296294293293292294293297295292295296296296296294294296296296295296296295295295296295297300298296297297295295291292293294293297293291291293294295294294295295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293292293294293294294295297296298297296296297295295295297298300299298299300298300298296297296297298298299298298298298298298298299299299300301300301300300300300300300301301300301301301301301301301301301300300300301301301300299299297299299299300299299299299298298299299299299299299299298300299300300300300299300300298298299299297298299298299298298298298299298298298298298298298298299299300300300300300300300300300299300299299299300300298299300300298301301301301300301301301300301302301301302301301302301300300300300300302301301302301301300301301301300301303302302301302301301301301301300300301302302301301301301301301301301301301301301300301300301300300300300300300300301301301301302303303304303304304304305305304304304304304304303302302302302302302301301302301302303302302302302302302302302302302301301302302302302302302302301302302302302302303303303303303303302302303302302302301301301300300300300300300300300300300300300299300300301301301301301301301301302301300300300300301301300302302301301300300299301301300300301300300301301302299299298300300300300300300300298298298298298299299300300300301301301301302302302301301301301302301302302302302302302302302302302302302303303302302303303303303304303303303303303302302303302302302302302302302302302301301301301302302302301302301300300300300301301300300300300300300300300300300301301301301300300299300300300300299299299299298299299299298298298298297299299298298298298298297298298298297298297297297297297297297297297297296296296296296296296296296296296296297296296296297297297297296296296296296296296296296295295295295295294295294295295295295295295295294295294294294293294294294294294294294294294294293293293293293293293293293293293293293293293294294294294294293293294294293293294294294294294294294294294294294294294294293293293293292292291291291291291291290290290290289289288288288287287286286286286286285285285285286286 999999999296297296296296296296297298299299299298299299999999999999999999999999999999999999999999999999999999999999287288287287286286286287287287287288288288288289289290291291293293291292292291292292295293295296294294294294295295294294295296296295297297297297296297295295298296300300295294293295292294294293292293291293293294294293295296297999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294293292293294295295299299298297297298299297297293298295298298299297297299299299299298296297297298297297298299298298298298298299299299300300300300300300301301301301301301301301302302301301301302301300300301301301300300299300300300299300300299299299299299299299299300299300300299299299299299300300300299299299299297296999296298299299299299299298298299298299298298298299298299299300299299300300299300300300300300299299298299299299299299300300299301300300300301301301301302301302302302302302302301301301301300300301301302302302302301303303303300301302302302303301301301301301301301301301301302302302302302302301301301302302302301301300300301301301301301301301301301301301301301302303303303303304304304304304304304303304304303302302302303302301301301302301302302302302301302302301302302302302302301302301302302302302302301302302302302303303303303303303303303303303303302302302301301301300301300300300301300300300299300300300300300300301302301301301301302301301301300301301301301300302302301300300300300300300301301301301302301302302299299299299301301300300300300300299299300299299300300301301301301301301301302301301301301301301301301301302302302302301302302302302303303303303303303304304303303303303303303302302302302302303302302302302302302302302302302302302302302302301301301301301301301301301301300300300300299300300300300299300301301300299299300300300300299300299299298299299298298298298298299299298298298297297297297298298298298297297297297297297297297297296296296296296296296296296296296296296295296296296296297296297296296296296296296296296295295295294294294294294294295295295295294294294294295294293293293294294294294294294294294293294294293293293293293293293293294294294294294293294294293294294293293293293293294294294294294294294294294294294294293294293293293293292292292291291291291290290290290290289289289288288287287286286286286286286286286285285285286 999999999298299298297299298298298298298297297298298299299999999999999999999999999999999999999999999999999999999999290289286285285286286286286286286287287287288288289290291293292291291292292291291291293294295294294293294294293292294296296296296296297299298297296296295295297294295296293293293293292295294294293293293293295295296295296294293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999293293293293293295297298298297297298298298298300300299298298296297298298297298298299299298297298297297298298298298298298297297297298298299300300300300299300300301301301302302301301301302302301302301301301300301301301301299299300300299299298299299298298298299299300300299300299300299300300300300299299298299298297999999999999299299299298298298299298299299298297297298299298298298301299298299299298299299300299300298300299299299300300300300300300300301300299300300301301301301301302301302301301301301301301300300301301302303301301301302303303300301301302301302301301301301300301302301301300301301302301302302302302302302301301301300300301301301301301301301301301301301301301302302302303303304304304304304304304304304303303302302302302302302301302301301301301301301301301302302302301302301301302301302302302302302302302302301302302302302302302302302302302303303302302302302302301301301300301300300299300300299300300300300301300300300301302302301301301302301301300300301301301301301301301301300300300300300299300301302301301300301300299299299299300301300299300300300299299300299299300301301300301301301301301302301301301301301301301300300301302302301302301302303303303303303303303303303303303303303303303303303303302302302302302302302302302302303302302302302302302302301301301301300301301301300300300301300299300299299300300299300301300299299299299300299299299299299298298299298298298298298298298298298298298297297297297298297297297297297297297297297297297296297296296296296296296296296296296296295295295295295296296296296296296296296296296296296296295295295294294294294294294294294294294294294294294293293293293293293293293293293293293293293293293293293293293293293292293293294293293293294294293293293293293293293293293293293293293294294294294294294294293293293293293293292292292292292291291291290290290289289289289289288288287287287286286286286286286285285285286287 999999999999298299297298299300298298296296297298297298299298999999999999999999999999999999999999999999999999999999999287286285285285286286286286286286286287287288290290291291292293294292292292292293296295295294294294294293293294294295296296294295297298297296295295295296294294295297294294294293295297295293294293294293294295297295295296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292294296296298298298297297299298298299300300298298299299297297297298298299299297297298298299298300299299299297297297297297299300300300301300300301302301301302302301302301303303303303302302302302301302303302300299297297298298298298298298298298298298299300299299299299300299300300300300299297297298297296999999999297299297298298298298298297299295297298298298297298298299299298298298299299299301299300300300300300300300299299300300299299300301300300300300299300302301301301301301301301301301301301301300300302303301301301300300299300300301301301301302301301301301301302301301301301302302303302302302302302302302302302301301301301301301301301301301300301300301301301302302302303303303304303304304303303303303302302301303302302301301301302302301302301301300300300301301301301301301301300301301301302302302301302302302302302302302302302302302301302302302302302302302302301301301301301301301300300300300301301300301301300300300300301301301301301301301300300300300300300301301302302301300299300300300300300301301301301300300300300299299299299299299300300299300300300300299299299300300301300300300301301301300300300300300301301301301301302302301302303303302302302303303303303303304303303303303303303303303302302302302302302302302302302302302302301302302302302302301301301301300301300301301301300301301300300300299299299299299300299298298299299299299299299299298299299298298298298298298297298298298297297297297297297297297296297297297297297297296296296296296296296295296296296296296296296296296295295295295295295296296296296296296296296296296295295295294294294294294294294294294294294294294294293293293293293293293293293293293293293293293293293293293293293293293293293293293294293293293293293293293293293293293293294293293293293293294294294294294293293293293293292292292292292292291291291290290290290290289289289289288288287287287286286286286286286286286285285285 999999999999999297297300297999299296294295296297297297298299298999999999999999999999999999999999999999999999999999999999285283284285286286286286286286287287287288288290290293290290291291291292292295295294292296295296296295293293293295294293294293295296296296295294293293293293293294296294294293293292292293293294292293294294293294293292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291294295296297298296297296297297296297299299298296297297298297297297297297296296297298298297297298299298298297297297296297297298298299299300300301301301300301301300302303302303303303301301301301302302302301299299299298298298297297297297298298298298298299299299298300298299299299300299296296296297298999999999999298298298298297298299299299299299298299298298298298298299299298298297298298298299299299300300299300302299300299299299300299300300300300301300300301301302300300300300300301301302302301301300300300301299300300301300300300300301301302301301301301300301301301301301301302302302303302303303302302303302302302301301301301301301301301301301301301301301301301301302302303303303303304304303303303303302301302302302302301301301300301301301301300301300300300301300301300299300300300300301301301301301302302302302302302302302302302302302302302302302302302302302301301301301300301301301302300300301301300301301300300299300301301301301300301301301300300300300300300300301301300301300299300300300301301301301300301301300300300300300300299300300300300300301300300300300300300299300300300300300300301300300300300300301301301301301301302302302302302302302303303302303303303303303303303303303303302302302302302302302302302302302302302302302302301301302302302302302302302301301301301301301300300300300300300300299299298298299299299299298300299299299299298299298298298299299299298298298298297297297297297297296297297296296296296296296296296296296296296296296296295295295295295295295295295295295295295295295295295295295295295296296296295296296295295295294294294294294294294294294294294294294293293293293293293292292292292293292293293293293293294293293293293293293293293294294293293293293293293293293293293293293293293294293293293293293293293293293293293292292292292292292291291291291291291290290290290290289289289289288288288287287287287287286286286286286285285285 999999999999999999294292999999999296295296294295296297299299299298298297999999999999999999999999999999999999999999999999285284284286286287286286286287286285286287290290291290291292292291293292293293293293293294295294295294293293295293293293294295294294295293295295294294293293294295296295295296295294293292293292292293292289292291292291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999297296293290292294295295297296294294294295295292296298296297298297297296296296296296296296298298298298298298298297297299298297296296296298299300300300300301301301300300300300301302302302301302302302302302302301301300300300298297297297297297297296297297297297298297298298298299299297297298298298297295999298298296999999999296297298297297297297296297298296296297297297298297297297297297297298298298298299299299298299299300299300301299300300299299299299299299300299300299300300300299299300299300299300299300300300301300300300300300300300300301301301301301301301301300300300300301301301301301301302302302302302302302302302301301301301301301300301301301301301301300301301301301301301302302302303302303303303302302302301301301301301301301301300301300300300301301299300300299301300300300300300299300300300300301301302302302302301301301301302302302301301301302302302301301301301301301301301301301301300301300300300300300300299300300300300300300300301301300301300300300300300300300300301301301300300299300300301302302301301300300299300300300299299299299299299299300300300300301300300299299299300300300300301300301300300300300300300301301301301301301301302301301302302303302302302302303302302302302302302302302302302302302302302302302302302302302302302301301302302302302302302302301301301301301301301300300300300300300300299299299299299299299299299298299299299299299299299298298298298299299298298297297297297297297297297297296296296296296296296296296296296296296296295295295295295295295295295295295296295295295295295295295295295295295295295295295295295295295295294294294294293293293293293294294294293293293293293293293292292293292293293292293293293293293293293293293293293293293293294294293293293294294294294293293293293294294294294294293293293293293293293293293293293292292292292291291292291291291291290291291290289289289289288288287287287287287287287286286286286286286286 999999999999999999999999999999999999999296296295999298298298298298296295295999999999999999999999999999999999999999999999285283285286287287286285285286286287287287290290290289290290291292292295295293294294293293293293293294293293294293293293293293294294295295295295296294294294295295296296294295295294293292292293293293290291291289293293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300299296293291291293294294293295295294294296295295300297295298297298298298297296296296297297297298298298298298297297297299299298296296297299299300300301301300302302301301301300301301302302301301302302303302302302301301300300296296297296296296296296296296297297297297296297298298297297297298297298297999999299299298999297297297297297296297297297297298297297296297297296298296297297297297297297298298298299299299299300299299299300301300300299300299299300300300300299300299299300300300299299301301301300301300299299299301300300300299301302302301300301301301301301301301300300300300300300301301302302302302302302302302302301301301301300301301301301301301301301301300300301300300301301301302302303302303302302302302301301301301301301301301300300300300300300300300299301300300301301301300300300300300300300301301301301301301302301301301301301301301301301301302302302301301301301300301300301301301302301301301301300300300300300299301300300301301301301301301301301300300300300301301300300301301300300300300301302302302302301301300300300300300300300299299300299299300300300301301301300300300299299300300301301300300300300300300300300301301301301300300301300301302302302302302302302302303302301301302302301301302302302302302302301302302302302302301301302301301302302302302302302302302301301301301301300300299300299300300300299300299299299299299299298298298298298298298299299298298298298298298297298297297297297296296296296296296296296296296296296296296296295295296295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295295294294294294294293293293293293293293293293293293293293293293293293292293292292293292293292292292292293293293293293292293293293294293293293293293294294294293293293293294294294294294294293293293293293293293292293292292292292291291291292291291290291290290290289290288288288288288287287287287287287287287286286286286286286 999999999999999999999999999999999999999294999999999999299298298298297296295294999999999999999999999999999999999999999999999285285287286286286285284284287286287287288288289290290291291291295295294293293293293293294294293293293292293293293294293294294293294295295296296294294296295293999999291293295294294295292293294291291291294295294293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999303300296293292291292294294294294295295295296295295298297295297298297297298297296297298297298297298299298298299298297297297298298297296297299300300301300300300301301301302302302302302302304302302302303303303302302302300300300298297297296296296295294295295296297297297296297297297297296296296296295999999300300299298297298297298297297297298296296296297296297296297297297297298297298297297298297298298298299298298298298299299300300299299300300299298299300301300300300300299299300300300299299300301300300300300299300301300300300302302304302302301300301301301301300301300301301301300300301301302302302302302301302301302302301301301301301301301301302301301301301300300300300300301301301301302302302302302302302301301301301301301300300300300300300299300300300300300300300300300300300301300300300300300300300300301301301301301302301301301301301301301301301301301302302302302301300300301301301301302301301302302302301299300300301300300300301300301301301301301300301300300300300300301301300301300300300300300301301302301301301301301300301300300300300299299299300300299300300301301301300299300300300300301301300300300301300300300300301301301301301301301301302302302302301301302302302302302302302301301301300301301301302301301301301301301302302301301301301301301301302302302302302302301301301301300300300300299299299300299299299299300299299299298298298297298298298298298298298298298298297298298297298297297297297297296296296296296296296296296296296296296295295295295295295295295295294294294294295294295295295295295295295295295295295295295294295295295295295294294294294293293293293293293293293293293293293293292292292292292292292292292292292292292292292292292292294293293293292293293293293293293293293293293293294294293294293294294294294294294293293293293293293292293292292292292292291291291291291291290290290290289289289288288288287287287287287287287287287287286286286286286286 999999999999999999999999999999999999999297999999999299299298298297298296295295295294999999999999999999999999999999999999999285285287286286287288286287287287287287288288289290290291290291292292293293294295294294293294293293292292292292293293293294292294294295296296296294297296294999999999999292295294295294292292293291291291293294292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999301296295291292291294294293292293296294296295297296296295298298296298297297298298298297297297298299298298298297297297296296298298297298298299301301300300302302302302303303303302303302304303302302301302302301302301299297299299298297296296295295294295295295296297296296295295296296295295295293294999299299299299299299299299299298297297297296296296298296297296297297295298296297297297297297298298299299298298298299298299299300299300299299300299299299300300300300300300300300300301300300299299301300300301301300300301300301301302302302301301301301301301300301301301301301301301301301302302301302302302302301301301301302302301301301301302302302302302301301301301300300301301301301301301302302302302302301302301301301300301300300300301300300300300300299300300300300300299300300300301301300300300300300301301301301301301301302302302301301301301301300301301301302301303302301301302301302302302302302302302302302301300299300301300300300301300300300301301301301301300301301301301301301301301301300301301301301301301301301302301300301301300301300299299299299300300300300301300301301301300300300300300301300301301301301301300301301301302301301301301301301302302302301301301302302302302302302302301301300300300301301301301301301301301301301301302301301301302302302302303302302302302302301301301301300300300299300299299299299299299299299299299298298297296298297298298298297298298297297297297297297298298297296296297296296296295296296296296296296296296296295295295295294295295295294294294294294295295295294294295294295295294294295295295295295295295295294294294294294293293293293293293293293293292292292292292292292292292292292292292292292292292292292292292292292294294292293293293293293293293293293293293293293293294293294294294294293294294294294293293293293293293293293292292292292291291291291291291290290290290290289288288288287287288288287287287287287286287286286286286286286 999999999999999999999999999999999999999999999999999298297297295295296295294294295295294999999999999999999999999999999999999999285286286286285285285288287287286287287288289288288290289289291293292292294294293294294294293292292291292292292293293294294294294294297294295295295294293999999999999999298296297295294292292292293293292292291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999296294293293292293293294293292293298294296296296296295297298297297297298300298297297296297297298297297296296296296296296298298298298299300302301301301302303302302302302302302302303303302302301301302302302299299292293297297297296295294294294294294294294295295294295296295296295295295293293999999999999299300299299299299298297297297297297297297296296296296296294296296296296297296297298298298299298298298299298298298299298299300299299300300299300300300300300300301300300300300301300299299299301300301300299300300301300300301301302302301301301301300300301300300301302301301301301301301301301302302302301301301302301301301302301301301301301301301302301301300301301301301301301301302301302302302301301301301301300300300300300300300300300300299299300300300300300300300300301301301300301300300301300301301301301301301301302302302302302301301302300301302302302301302301301301301301302302302302302302302302302302301300301300300300301301300301300301301301301301301301301301301301301301301301301301301301301302302302301301301301301301300301300300300300300300300300300301300301300301299300300299300301301300301301300301300300300301301300301300301301301301301301302302302302301302302302302302301301300300300300301301301301301301301301301301302301301302302302302302302302302302302302301301300300300300299299299298299299299298299299299298298298297296297297297297297297297297297297297296297297298297297297297296296296296295295296295296296295295295295295295295295294294294294294294294294294294294294294294294294294294294294294295295294295295294294294294294294294293293293293293292292292292292292292292292292292292292292292292292292292292292292291291291292292292293292292293293293293293293293293293293293293293293293293293293294294293294294294293293293293293292292292292292292292291291291291291291290290290290290289289289288287287287286286286287286287287287286286286286286286286 999999999999999999999999999999999999999999999999999299297296294294294295296294296295294293292292999999999999999999999999999999285288287286286285285285286286286286287286288289289289288289290291291291293294294293293293292292291291291291292293293293293294295295297295294294293294293999999999999999999999999999999999999292294292291290291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292290290291291291292292293291295296295296294295295297296295297297298300296297297296296296296295296296296296295296296297298298299299299299300301301303303303302302301301302303303301300301300300301300298296999999293293293294295293293293293293293292293294294295295295295295295295293292290999999999999299299299298298298298297296296296297297296296296295295295294295294296296295295297296296297297299298298299298297297298297297299299299300299299300300299300300300300301300300300300299299298298298299300301299300300300301301300300300301301298301301301300300300300300300300300301301301301301301301301301301300300301301301302302301300300301300300301301301301300301301301301301301301301301301301301301301300301300300300301300300300301299299300300299299299300300300300300300301301301301301301301301301301301301301301301301302301301301301301301301301301302302301302302301301301302302302302302302302302302302301301301301301301301302301301301300300301301300300300301301300300300300300300301301301301300301301301301301300301300300300301301301300300300300300300300300300300300300300299300300300300300300300300300301300300300300300301301301300301300300300301301301301301301301301302302302301301301301300300300300301301301301301301301301301301301301301301301301302302302301302302302302301300300300300299299299299299298299299298298299299299297297298297297297297297297296296296297296296297297297296297296297296296296296296296295295295296295295294295295295294294294294294294294294294294294294294294294295294294294294294294294294294294294294294294294294293293293293293292292292292292292292292292292292292292292292292291291292291291291291291292292291291291292292292292292293293292293293293293293293293293293293293293293293293293293294293294293293293293293293292292292292292292292292291291291291291291290290290289289289288288287287287286286286286286286286286286286286286286286286286 999999999999999999999999999999999999999999999999999999999297999999293294296298297296296295295294294999999999999999999999999999287288288287286287286287286286287286287287285288287288289288290290291291291291293293292292292291291292291291292293293294293293294295296294293292295999999999999999999999999999999999999999999999999292291289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291292293291292291291293291292294296295294294296296296297297298300298298297297296296295296296296296296296297296297298298299299299299299300300302302302302301301301301301302302301302300300300299296999999999999292292292292292291291292292292292293293293293294294294294293294293292999999999999999298298298298297297999296297296297296295296295294295295295294295295295294295295295296296297297298298299299297297297297296298299298299298299299299299300300300300300300300300299300299299299299300299300300300300300301300301300301301301301301301301300300301300300301300301301301301301301301301301301301301301301301301301301301302301300301301300300301301301300300301300301301301301301301301301301301301301301300300300300301300300300300300300300299300300300300300300300300301301301301301301301301301301301300301301301301301301301301301301302302302302301301302302302301301301301302302302302302302302302301301301301301301301302301300301301300300300300300300300300300300300300300300300300301300300300300300301301301301300301301301301301301301300300300300301300300300300300300300300300300300300300300300300301301300300300300300300301301300300301300300300301301301301301301301301301301301301300300300300300300300301301300300301301301301301301301301301301301301301302301301301301301300300300300300300299299299299298299299298298298299299298298297297297297297297296297296297296296296297297296296296297296296296297296296296295295295295295295294294295294294294294294294293294294294294294294294294294294294294294294294294294294294294294294294294293293293293293292292292292292292292292292292292292292292292292292292291291291291291291291291292292292292292291291291291294292292293292292292292292293293293293293293293293293293293293294293293293293293293293293292292292292292292292292292291291291291291290290290289289289288287287287287287287286286286286287287286286286286286286286286 999999999999999999999999999999999999999999999999999999999999297296999999999296297295296296295295295293999999999999999999289999999289290288286286286288286287288288286288288287290289289288289291290291291291292293292291291290291291291291292293293294295296295296294295293292299999999999999999999999999999999999999999999999999999999999290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292294291288288290294292293293294294294294296296296297297299299298297298296294295297297296296297297297298297297299299298298298299300300301301302302302300301301302302301300300301300299298298296999999999999290291292291290290291291292292292292292292293293293294294294293293293999999999999999296295296999999999999296297296296296297295295295295295295295295296296295295296296296296296297297297297297298298297297298298300299299298298299299299299300300300300300300299300300299299299300300300300300301301300301301301301301301301301302302302301300301301302302301301301301302301302302302301302302301301301301301301301301301301301301301301301301301301301301301301301301301301301301302301301301301301301301301300301301301301301300300300300301300300300300300301301301301301301301301301301301301301301301301301301301302302302302301302302302302302302302302302303302302301301302302302302302302302302302301301301301300301301302302301301301301301301301301300301301300300300300300300301301301301300300301301301301301301301301302302301302301301301301301300301301300300300300300300300301301300300301301300300301300300300300300301301300300301300301300300300300300301301301301301301301301300300300300300300300300300301300300301301301301301301301301301301301301301301301301301301301300300300300300300300299299299299299299299299299298298298297297297297297297297296297297297296296296296297296296297297296296296296296296296295295295295295295294294294294294294294293293293294293293293294294294294294294294294294294294294294293293293293294293293293293293293293292292292292292292292292292292292292292292292292292292292292291291291291291292292292292292292292292291291293293292292292292292292292293293293293293293293293293293294294294294294294293293293293293293293292292292292292292292292291291291291290290289289288288288287287287287287287287286286286286287287286287286286286286286 999999999999999999999999999999999999999999999999999999999999999297999999999296295294294294295295295294999999999999999999293999291290290288287286286287284288285286287287287287289287287287288289290290290290290290291291290290290290290290291292293294294294295294294293296294294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999295292289289291294296293291293293293295296297297296296297297298297294292295296295295296295296297297297297297299300298298298298298299299300300299300301299299300300301300300299298296296999999999999999290290290290290290291291291291292292291290292292293293293293293293294292999999999999999294297999999999999999297297295295296295295294295295295294294294295294295295295295295296296296296297297297297297297297298297297298298297297299299298298300300300299300299299299299299299300300300299299299300301301301301301302301301301301301303302301302301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301301302302301301301301301302301301302302302301301301301301301301301301301301301300301301301301301300300300301301301301301301301301301301300301301301301301301301301301302302302302302302301302302302301302302302302302302302302302302302302302302302302301301301301301300301301301301302301302301301300301301300301301300300300300300301301301301301301301301301301301301301301301301302301301301301301301301301301301301301300300300300300301300300300300300300300300300300300299300300299300300300300299300300300300300300300300301300301300300299299299300300300300300300300300300300301301301300301301301301301301301301301301301301301300301300300300300300300300299299299299298299298298297298297297297297297296296297297296296296296296296296296296296296296296296295296296296296295295295295295295294294294294294294293293293293293293293293293293294294294294294294294294294294294293293293293293293293293293293292292292292292292292292292292292292292291291291292292292291291291291291291291291292292292292292292292292292291293293292292292292292292292292293292292292293293293293293293294294294294293293293293293293292292292292292292292292292292291291291290290290289289288288287287287287287287287287288286286286286286286287286285286285285 999999999999999999999999999999999999999999999999999999999999999298999999999295293291292292293294294293293293292296291293292292290290288287286287288288289289288288286288288287289287288289288289289289290290290290291290290290289290291291291292292293293292293294294294299295999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291293294295293291292293293294297297296296296296296296296293999999999999296296296296297298297298298298299299299299297298298299299300299300300299299298299299301300299297295291999999999999289290290290291291292292292292292292292291291292292293293293293293293293999999999999999299295999999999999999999296297296297297295295295295295294294294294294295295295295295295295295296297295296296297296296297296296297298297297298298298298298299298299300300300299299298299301301301300300300300301301301301301301301301302302302302302301301302302301301301301301301301301301301300301301301301301301301301301301301301300300301301301301301301302301302301301302302302302302302302302302302302302302302302302302302301301302301301301301301301300301300300301301301301302302301302301301301301301301301301301301302301302302302301301302301301302302302302302302302302302302302302302302302302302301301301302301301301301301301301301302301301300300300301301301301300300300300300301301301301302302301301301301301301301301301301302302301301301301301301301301301300300301301300301301301300301301301300300300300300300300300299299300299300300300300300300300300300300300299299299300300299299299300300300300300300300299299300300300300300300300300300301301301300300301301301301301301301300300300300299299300300299299299299299299298298298298297297297296296297296296296296295296296295296295296296296295295295295295295295295295295295295295295295294294294294294293293293293293293293294293293294294294294294294294294294294294293293293293293293293293293292292292292292292292292292292292292292292292292291291291291291291291291291291291292292292292292292292292292292292292292292292292292292292292292292293293293293293293293293293293294293293293294294293293293293293293292293292292292292292292291291291290290289289289288288287287287287287287287287286286286286286286286286286286285285285 999999999999999999999999999999999999999999999999999999999999999999999999999290287293286288289292291291293293294293291291290288289999999999287288287287290289288288287286289289289290288289289290290288288290289290290290291289289292289290291292294293293294293294294295301999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292293293293293293294294293295297296295295295294294295293999999999999999999292294295295296295296295297297299298296295297298298297297297298299299299300300300298296294999999999999999999288290290291290291292292292291291291291292292292293293293294293294294293999999999999301297292296999999999999999297297296297296296295295294294294295295295295296295296295296295295295295295295296297297295296296297297297297298298298297297298298298298299299299299299298300300300301301300300300299300301301301301302302302302301302302302301302302302302302302301301301301301301301301301301301301301301301301301301301301301301301301301301301301302302302302302302302302302302302303302303302303302302302302302301301301301301302301300301301300301300300300301301301301302302301301302301301301301301301301301302302302302302302302302301301301301301302302302302303302303302302302302302302302302301301301301301301301301301301301301302301301301301301301300301301300300300301301302301302302302301301300300300301301301302302302301301302301302302301301301301301300301301301301301300300300300300300299299300300300300300300300300300299299299299299300299300300300300299299299299299299299299299299299300300300300299299299300300300300300300299299299300301301301301301301301301301301301300300300300299299298299299299299299299298298298298297297297297297297297297296296295296295295295295296296296296295295295295295295295295295295295295295295295295295295294294293293293293293293293293293294294294294294294293294294294293293293293293293293293292293292292292292292292291291291291291291291291291292291291291291291291291291291291291291291292291291291292291291292292292292292292292292292292292292292292292292292292292293293293293293293293293293293293293293292292292292292292292292292292292292291291290290290289289288288287287287287287287287287287287287286286286286286286286286286286285 999999999999999999999999999999999999999999999999999999999999999999999999999999294999999999295289291999293293293291291999999287999999999999288287287288289288288288287288289285286287287287288288289289288288288290290290290288289289290290290292293295293294294293292296298292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291293293292293293294295295297295295293292293294294293999999999999999999999296296296999296296294293295296296294292294295294294294295296297297298298298298296295999999999999999999285288289290291291291292292292291291291291291292292293293293293294295295293999999999300300297999999999999999999296296297296296296296295296295295295295295295295295295296296296297295296295294292297296296295296296296297297297297297297297297297298298298298299299299299298299300300300301300300300300300300300300301301302301301301301301301301301301301301301301301301301301301301301300300301301301301301299300300301301300300301301301301302301301301301302302302302302302302302302302302302302302302302301302302301301301301301301301300302301301301301301301301301301301302302302301301301301301301301301301301301302302302302302301302301301301301301301301302302302302302302302301301302302301301302301301301301301300300301300301301301301301301301300301301301301300300300301301302302301301300300300300300300301301301301301301301301301301301301301301301300300300300301301300301300300300301300300299299299299299300299299299299299299299299298299299299300300300299299299299298298299299299298299299299299299299299299299300300300300299299299299300301301301301300301301301300300300300300300300300299299299298299298298299298298298298298297297297297297297296296296296296296295295295295296295295295295295295295295295295295295295295295295295294295295294294294293293293293293293293293293293293293293293293293293293293293293293293292292292292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291292292292292292292292292292292292292292292292292293293292292293293293293292292292292292292292292292292292291291291291291290290289289289288288287287287287287287287286286286286286286286286286286286286285285286286 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292292292292292291290999290290290288999999290288287288290288290289287287289288287286287286287288288288288288288290290289289289288289291290290291293295297294293293292292296292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292292292293292292295296297296291292290291292292294999999999999999999999999999999999999999999999999999999999291290288291293293292293293293295294294294292290999999999999999999288288290290291291291292292291291291291290291292292293293293294295295294294294293999294295298999999999999999999297296296297296296296297296296295296295295295296295295295295295295294295295296296296296296295295296296297297296298296296296297297298298298297298298298299300299300298298298299300300299299299299300300301300300300301301300301301301301301301301302301301301300301300299301301301300300301300300300301300300300301301301301301302303302302301302302302302302302302302301302301302302303302302302301302302301301301302301301301301301301301301301301301301301301302302302302302302302301301301301301301301301301301301301302301301301301301301302302301302302302302302301302301301301301301301301301301301301300300301300300301301301302302301300300301301301301300300300301301301301301301300300300300300301300300300301300301301300300300301300301300300300300300300300300300300300301300300300300299299299299299299299299299299298298298299299298299299299300299299299299299299299299299299299298299299299299299299299299299300299299299299299299300300301300300300300301300300300299300299299300299299298298298298298298298298298298297297297297297297296296296296296296296295295295295295295295295295295295294295295294295295295295295295295295295295294294294294294293293293293292292293293293293293293293293293293293293293293293292292292292292292292292292291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291291290290290290290293293292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292292291291291291291290290290289289289288288288287287287287287287286286286286286286286286286286285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291290999292291291290288288999290290287999288288290289289289288288288288287286286287287287287288289288289289288290291289289290291291292290292293294296295294295292290291293999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999298296294999999999999999290291292291293291295296296296296295292295999295296296999999999999999999999999999999999999999999999999999999999999999999296999999999999999999999999297297297999999999999999999999287288289290291291292292292292291291291291292292292293293293293294295295295295294293291999296295999999999999297297297298298297297297297297297296296296295295295296295295295295295295294295296296296296296297296296295296297296297297296297297297297298298298298299299298298298299299299298297298300301301300300301300300300301301301301300300301301301301301301301302302301301301301301299300301300301301301301300300300300300300300301300301301302301302302302302302302302302302302302302302302303302302303302302302302301301302301302302302301301301302302301301302301302302301302302302302302302302302301301301301301301301301301301301301302302302302301301301301301301301302302302301301301301301301301301301300301301302302302301301301300300302302302301301301301301301301301300300301301301301301301301300300300301301301300300300300300301301300300300300300300300300300300301301300300301300300300300300299299299299299299299299299299299299299299298299299299299299300300299300299299299299299299299299299299299299299299299299299299299299299299299299299300300300300300300300301300300300299299299299299298299298298298298298298298298298298297297297297296296296296296296296296296296295295295295295296295295295295294295295295295295295295295295295295295295295295294294294294293293293293293293293293293293293293293293293293293293292292292292292291292291291291291291291291291291291291291291291291291290291290291291291291291291291291291291291292292291291291291291291291290290290291291292292292291292291291291291292292292292292292292292292292292292292292291291291291291291291291291291291291291290290290289289289288288288287287287287287287286286286286286286286286286286285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999291291291999999289290290999291290291291291290289290289289287290287289289289288288287288286286286286286287287287287287287288289290290290290289291291292292292292293294294295294293291290290292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999292291291292291291290290290290291292291291293292292295295295295293291294999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286287289290291290291292292292291291291291291292292293294292292293293295295295295291293291999999999999999999295296296296297296298297296295296297296295295295295295296294296295294295295294294295295295296296296296296296297297297297297296296297296297297298298298299299298298298298299299299298298298300299301300300300300300300300300300299300301301301301301301301302302301301301301300300300300301300301300301300300300300300300300300300301301301301302302302302302302302302302302302302302302302302302302302303302302302302302302301301302302301301302302301302302302302302302302302302302302302301301301301301301301301301301301301301301301301301302300301301301301301302301302301302301301301301301301301301300301302302302301301301300301301302302302301301301301301300301301300300300300300301301301301300300300300300300300301301300300300300300300301301300300300300300300301300300299300299299300299300299299299299298298299299298299299299299299298298299299299299299299299299300299299298299300299299299298298298299299299299299299299299299298299298298299299300300299300299299298298298298298298299299299298298298298298298298298298298297297297297296296296296296296296296296296296295295295295295295295295295295295295295295295295296295295295295295295295295294294294294294293293293293293293293293293293293293293293293293293292292292292292291291291291291291291291291291290291291291291291291291291291291290291291291291291291291291291291292291292291292292292291291291291291291291291291291291291291291291291291291292292292292292291291291291291291291291291291291291291291290290290290290290290290289289289288288288287287287287286286286286286286286286286286286286285285285285285285285285285285 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290288290290290291292292292291291291292291291290292291289290289289287288287287286285286285286286286287288287287288288288288289290290291292292293293292292292293292292292292291292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291291291292292292291291292292292292293293292292293294295294294292999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999286289291291290291291292291291291292291291291292292293292292292292293294295295295292291999999999999999999999999295292295296297297297296296295296296295294295295294296296296296295294293294294293293296296296296296296296297297297297297296295296297297297297297298298298298298298299298298299298298300301301301300300300299299299299299299300300299300300300300301300300301301301300299300300300301300300300300300300300300300300300300300300301301301301302302302302302301302302302302301302301301301302302302302302302302302301302302302301302302301301302302302302302302302302302302302302302302302301302301301301301301301301301301301302301302301301301300301301301302302301301301301301301300301301301302302302301301302301301301301301301302302301302302302302302301301301301300300300300300300301301301300300300300300300300300300301300300300301301301301301300300300300300300300300300300300299299300299299300299298298298298298298299299298298299299299298298298299299299299299299299299299298298298298298298298299298298298298298298298298298298298298298298298298299299299299299298298298298298298299299298298298298298297297298297297297297297296296296296296296296296296296296296296295295295295295295295295294295295295295295295295295295295295295295295295295294294294293293293293293293293293293293293293293293293292292292292292292292292291291291291291291291291290290290290290290290290290290290290290290290290290290290290290290291291291291291291291291291292292291291291291291291291291290290291291291291291291291291291291291291291291291291291291291291291290290290290290290290290289289289289289289289288288288288287287287286286286286286286285285285285285285285285285286285285285285285285285284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289999999290289289289288290293292291289289289289290288289289290290287288287286286284284284285286285285285286286287288287288289290290289290291292292292292292291291292292292291290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290291291291291291291292292292292292293293293292291292295295294293291286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999284288290291291291292293292292292292292292291292292293293293292292293293293295295295292291999999999999999999999999999999999294295296297295295295295295295295295295296296296295296295295292292293293293295295296296297297297296297296298296296296297297297298298298297297297297297297298298298298299298298300300301300300299299299299298298299299300299299300300300300300300301301301300300299299300300300300300299300300300300300300300300300300301300301301302301302301301301301301301301301301301301301301301302302302302302302302302302302302302302301301302302302301301301302301302301301302302301302301301301301301301302301301301300301301301301301300300300300301301301301301302301301300300300301301301302302302301301302301301301301301301301302301301302302302301301301301300300300300300300300300301300300300300300300300300300301300300300301301301300300300300300299300300300300299300300299299299299298299299298298299298298298298298298298299299299299299298299300299299299299298298298299298298298297298298298298298298298298297297297297298298297298297298298298298299299299299299298298298298298298298298298298297297297297297297297297296296296296296296296296296296296296296296295295295295295295295294294295295295295295295295295295295295295294294294294294294294293293293293293293293292292292292292292292292292292292292292292292291291291291291291291290290290290290290290290290290290290290290290290290290290290290290290290290290291290291291291291291291291291291291291291291291291290290290290290290290290291291291291291291291291291291291291291291290290290290289290290289289289289289289289289288288288288287287287287286286286286286286285285285285285285285285285285285285285285285285284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999287999999999287289289294293293292291292289288289290290291290289287288288287287286285285285286287287285285286287287288288288290289290291290292291292292291291289290290291289289999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291291292292291291291292292292291292293292293291291293294294294287999999999999299298296297298999999999999298297298299297297999295294293292292292292293294293294290999999999999999999999999999999999999999288287289290290292292291292292291292291291291291291292293293293293292292293292293294293292291290999999999292292999999999999999999296296295295295294294294295295295295295296296296295295296294294292293294296295296297297297297296297296297296297297297298297297298297297297296297297297299298298297298299299298298299300300300300299299299300299299299300299299300300300300300300301300300299299299299300300300299300300300300301300300300300301301301301301301301301301301301301301301301301301301301301301302301302302302301301301301301302301302302302301302301301301301301301301301301301301301301302301301301301301302302301301301301301301301301301300300300300300300301301301302301301301301301300301301301302301301301301301302302301301301301301301302302302302302302301300300301300300300300300300300300300300300300300300300300300300300299300300300300300300300300300300301300300300300300300300299299299299298298298298298298298298298298298298298299299298298298298298298299299298298298298298298298298298298298298298298297296297297297297297297297297297298298298298298298299298298298298298298298297298298298298298297296296296296296296296296296296296296296296296295296296295295296295295295295295295295295295295295295295295295295295295295295294294294294294294294293293293293293293293293292292292292292292292292292292292292292292291291291291291290290290290290290290290290290290290290290290290290290289290290290290289289289290290290290290290291291291291291291291291290290290290290290290290290290290290289289291290290290291291290290290290290290290290290290290289289289289289289289288288288288288288288288287287287287287286286286286286285285285285285285285285285285285285285285285284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290290999999999999999287292294293293292291292290290289290291292291290289288287288286286285286285286286286284285287287287287288289290290290290292292293293292291291291290290290288291999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291291291291291292292292292291292291291292293295293292293294296295294288999999999999299299298297298298298298297296296298297298297295294294294293294294293293293292294293292999999999999999999999999295294286288289289290291292292292292290291290291292291290290291294293293293293292292293293293293293292291290287999999292293292292291291999999296297295295295295295294294294294294296297296296296297296297295296296294296296297297298298297296297298297297298298298298298297298297298297297298297297298297298298298299299299299300299300299299299299298300301300300299299299299300300300300300300300300300300299299300300301300301301301301301301300301300301301302301301302301301301301301301301302301301301301301301301302302302302302302301301301301301301301301301302302302302301301301301301302302301301302301301301301301301301301302302301301301301301301301301301301300300301301301301301302301301301301301301301302302302301301301301301302301301301302302302301301301302302302302302301300301301301301300300300300300300300300300300300300300300300300300300301300300300301300300300300300301300300300300300300299299298299298298298298298298298298299298299299298298299299299298299298298298299299298298298298298297297298298298298298298297297297297297297297297297297297297298298299299298298299298298298298298297297297298298298298297297296296297297296296296296296296296296296296296296296296296295295295295295295295295295295295296295295295295295295295295294294294294294294294294294294293293293293293293293293292292292292292292292292292292292292291291291291291291290290290290290290290290290290290290290290290290290289289290289289289289290290290290290290290291291291291291291291290290290290290290289289289289290290291290289289290291291291290290290290290290290290290290290289289289289289289288288288288288288288288288288287287287287287286286286286286286286285285285285285285285285285285285285285284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290292292292292291292289289289290290291291290288289288287287286287286286288288286287286286287287287288289289290291291292292292292292291293291290291290289292290286999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291291291292292292292292291293292292294294292291293293294295294294289999999999300302300298298298297297297297296297298298297297296295295295295295294294293293293293294295294295293293292288289286288288289290290290290290291291291289291289289290290291290291291293293292292292292292293293293293292291291290290999999293293295294293294292292295293295294294294295295294294294294293296295297297297297297296296297297296296296296297297296296297298297298298297297298298299299297297297297297298297298297297298299299299296298299299299300299299299299300300299300300300299299299299300300301300300300299300300300300300300300301301301301301301301301301301302302302301301301301301301301301301301301301301301302302301301302302302302302301301301301301302301302301302302302302301301302302301301302302301302302302302301301301301301302301302301301301300301301301301301301301301301302302302302302302302302302302301302302302301301300300301302301301301301301301302302302303303303302301301301301301301301300300300300300300300300300300300300300300300300300300301301301300301301301301300301301300300300300300300300299299299298298298298298297298298298298298298298298298299299299299299298299299299299299298298298297297298298297297297297297297297296296297296297297297297298298298299299298298298299298298298297296297297297296297297297297297297296296296296296297296296296296296296296296296296296296295295295295295296295296296296295296296296295295295295294294294294294294294293293294294293293293293293293293292292292292292292292292292292292292292291291291291291291290290290290290290290290290290290290290290290290290290289289290289289289289290290290290290290290291291291291291291290290290290290290289289289289289290290290291291291291291291291290291291290290290290290290290289289289289289288288288288288288288288288288287287287287287287287287286286286286286286286286286285285285285285285285285285284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999289289290291290291291289289288289289288290289289289289288288286286285285284287285286285287287288288287288289290291291292291294294293293292291291291290291291296999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999290291291292292292292292292292292292292292295291291291291292293293292999999999304303301299299299298297298296296296297297297297295295294295296296295295294294294293294296295295296294293293293290291289289291290287289289290290290292290290290289290291290290291291292295294292293292293293293292291291290289290289999999293293293295293294294294294293292293294294295294293293295294292293295296297296297297297297297297296296297297296297297297297296298298298298297297297298298296297297297296297297296297297298298298298299298298298298298297298298298297300299299299299299299298299299299300300300299299299300300300300300300301301300301301301301301301301302302301301301301301301301301301301301301301301301302301302301301302302302302302301301301302301301301301302301301302301302301302302301301302302302302302301301301301301301302301301301301301301301301301301301302300301301302302302302302303302302302302302302302302302302301301302302302302303302301302302302302302302302302301301301301301301301301300300300300300300300300300300300300300300300300300301301301300300301301301301301301301300300300300300300299299299300298298298298298297297298298298298298298298299299299299299299298299300299298298297297297297297297297298297297297297297296296296297297297297297297298298298299299298299299299298298298297298298297297297297297297297297297297297297296296296296296296296296296296296295296296295295295295296295295296296296296296296296295295295295294294294294294294293293293293293293293293293293293293293292292292292292292292292292292292292291291291291291291290290290290290290290289290290290290290290290289289289289289289289289289289290290290290290290290290290290290290290290290290290290290290290290289289289289290291291291291291291291291291290290290290290290290289289289289289288288288288288288288288287287287287287287287287287287287286286286286286286286286286285285285285285285285285284284284284284284 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999288291290291291292292289288287289289289289289290290290290289289286286286286285287289288289289288289290290291290292291290293294295296293293291291290289291291295290999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999291292292292292292293293292292292292291292293294294292295296295290288292999999303302301300298298298298297296295295296296296296295295295295296296295296295295296296296296297296295296295295293292291290289291291290289290290290291290291290290291291292291290290291292293293295295293294293293292290290290289291289999999293293293293293294293294293293293295294293295296295293295294294293294296295296296295295294295297298297298300298298298297298298298298298298299297297298298297297297296297297297297298297296297297297298297296297298297297297297298299298298298298298299298298299299298299299299299299299300300301300301301301301301301301301301300301301302302302301302301301301301301302301301301302302302302302301302301302302302302302302302302302301301302301302301301301301301301302301302301302302302302302302301301301301301301301301301301301301301301301301301301301302301302302302302302303302302302303302303302302301302302302302303303302303302302302302303303302303302302302302301302302302301301300301301300300300300300300300301300300300300300300300301301301300300300301301301301301301301301300300300299299300299300298297298298297297297299299298298298298299299299299299299299299299299298298298297297297297297297298297297297297297297297297297297298298298298298298299299298298298298299298298298298298297298298297298298298298298297297297297297297297296296296296296296296295295295296296296296296296296296296296295296295295295295295295294294293293293293293293293293293293293293293293293293293293292292293293292292292292292292292292291291291291291291291290290290290290290289290289290290290289289290289289289289289289289290290290290290290290290290290290290290290290290290290290290290290290290291291291291291291291291291291291291291291291290290290290290290289289289289289288288288288288288288287287287287287287287287287287287287287286286286286286286286286285285285285285285285285284284284284284284